diff --git "a/data/dm_maths/full_data_2/2302_11255.jsonl" "b/data/dm_maths/full_data_2/2302_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2302_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(w) = w**2 + 15*w + 17. Let f(v) = -v**2 + 15*v + 22. Let n be f(17). Let a = n - 2. Let t be m(a). Solve 2*s = t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -121. What is the third biggest value in 0.14, g, 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173369324.\nAnswer: 2, 7, 11088619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2 + (0 - -4)) + 4. Suppose -z*j + 55 = v - 3*j, 0 = -v - 2*j + 53. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -y + 563, 3*n + 3*y - 463 = 389. Which is smaller: 269 or n?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5118293 and 6.\nAnswer: -3.0709758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 422 - -1047. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bef6 (base 16) to base 3.\nAnswer: -12210221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3241)\/(-8) - (-4)\/(-32). Find the second derivative of 18*x**3 - 435*x + 7*x**3 + d*x wrt x.\nAnswer: 150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 + 0.15. Let m = 0.09 - -4.91. What is the closest to 0 in m, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 + 2 + 4*t - 1.\nAnswer: 4*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14379*x + 14339. Calculate u(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769086?\nAnswer: 2, 11, 97, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0149859 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4*s + 28, -3*s = -s - 10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8)\/((1 + 2)\/12). Solve -c - 8 = -w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*x = 13, 4*u + 6*x - 2*x - 16 = 0. Let t be (-21)\/u*4\/(-18). Factor -t*y**2 + 4\/3 - 2\/3*y.\nAnswer: -2*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 4 + -7 + -54?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688748450 rounded to the nearest 1000000?\nAnswer: 689000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/10)\/7*(-24)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 20 = 2*u. Let p = -12 - u. Calculate the highest common divisor of 108 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 337377 + -407?\nAnswer: 336770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 65901 divided by -551\nAnswer: -65901\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -29 - (6 - 0) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-7)\/1176*(-21)\/18*200\/(-150).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -27. Let k = -26 - j. What is the remainder when 62 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 b when four letters picked without replacement from {p: 7, b: 3, o: 3}.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727607.5 rounded to the nearest one thousand?\nAnswer: 1728000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n)**8\/(n\/n**(2\/3)*n**4))\/(((n*n**(-9)\/n)\/(n\/n**2*n))\/((n\/(n*n**(-2\/15))*n)\/n**(3\/2))) assuming n is positive.\nAnswer: n**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 14 + (-6 - -5) + 1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -10, -52131 in ascending order.\nAnswer: -52131, -10, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:47 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -125685388, -125685389, -125685390, -125685391, -125685392?\n\"Answer: -o - 125685387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**4 - 18*w**2 - 9*w - 9.\nAnswer: 48*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 2*y - 2*m, y + 3*m - 47 = 6*m. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443288?\nAnswer: 2, 55411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 12*b**2 - 11*b + 31. Let x be y(-13). Suppose x*j + 5*j = 1630. What are the prime factors of j?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449*v - 418*v - 96937 = 0. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*2*5984\/6688?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -313357 rounded to the nearest one thousand?\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 4, u: 4, h: 2, d: 6, y: 2}. Give prob of sequence lihy.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, c: 10}. Give prob of picking 2 e and 2 c.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6665283?\nAnswer: 3, 571, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-138)\/12)\/(1\/25040). Round w to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*c - n + 12, 0 = 3*c - 3*n. Suppose -c*q + 3*j + 9839 = -11196, -2*q - 3*j + 10531 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3220 + 3223. Sort n, 14\/5, 1\/4.\nAnswer: 1\/4, 14\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(1539) + sqrt(1539) - (-2*-3*sqrt(1539) + sqrt(1539)).\nAnswer: -45*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2439, 2322, 2127, 1854, 1503?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 265, 382, 499, 616, 733?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:30 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/572848969 and 52\/900191237?\nAnswer: 6301338659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(1\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2080, 2189, 2384, 2671, 3056, 3545, 4144, 4859?\nAnswer: 5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1 (b) 65 (c) 2\/11 (d) 0.01 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 7 + 1\/4*b**2 - 11\/4*b = 0.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/81564 and -53\/28.\nAnswer: 81564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88 in -3, 1\/5, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1445 (base 6) to base 3\nAnswer: -112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-6)*(-1 + -2). Suppose -w*k + 754 = 2*r, 4*k + 2*r - 623 = 7*r. Let u = k + -105. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r - 1. Let s(k) = -4*k + 1. Let b(y) = -6*m(y) - 11*s(y). What is the units digit of b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -34, -28*m = -31*m - q + 32 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85791542925 - -85791366839.589642. Let x = -176085 - o. Let u = x - 0.41. What is u rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6423514 - -4?\nAnswer: 6423520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g - 27*g, -4*a - 5*g + 2 = -2*a - g - 3 - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.2, -2, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(2\/133)\/(s*s**(-2\/9))**(12\/7) assuming s is positive.\nAnswer: s**(-529\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 4*w = 105, 10 = -2*w. Let o = -69 - x. Let z = o - 51. Solve 5*u = 0, -p + 5 = 4*p + z*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 73 = 4*b - 4, -2*t = -4*b - 42. Suppose -4*y + 115 = -3*d + 5, -d - t = -y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a. Let n be x(-2). Let j = n - -19. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -48*b. Let v(c) = -2*c - 6 + 6 + 0*c. Give o(v(i)).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let j be k(1). Solve j = 2*p + p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28102, 30277, 32452, 34627, 36802?\n\"Answer: 2175*a + 25927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = 11. Put h, -2, -4 in ascending order.\nAnswer: h, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/((-2)\/(-4)*3). Suppose 3*a - j - 63 = -4*j, q*j = 16. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*z = -0*z + 44, 0 = 3*k + 3*z - 39. Suppose -3*c = -3*w + 438, k*w - 9*w + 3*c + 152 = 0. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2895, 2747, 2599, 2451, 2303, 2155?\n\"Answer: -148*x + 3043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a = -a. Let c = 90 - 90. Solve 2*k + a*k = c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 17*d + 17*d**2 - 15*d - 20*d + 4. Let a be l(-18). Solve -u - 3*u = -a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537*v + 517*v + 11520 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 1. Let h(j) = -j**2 - 5*j + 1. Let b be h(-4). Suppose -b*t + 50 = -0. Calculate the remainder when w(-5) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14185 = 65*u - 32225. Calculate the smallest common multiple of 612 and u.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**3 + 81*g**2 + 10*g - 6. Let m(y) = -20*y**3 + 163*y**2 + 24*y - 14. What is 7*i(z) - 3*m(z)?\nAnswer: -10*z**3 + 78*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 5*d - 2. Let r(a) = 45*a**3 - 4*a**2 + 24*a - 43. Determine 5*m(l) - r(l).\nAnswer: -45*l**3 - l**2 + l + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 369481 - 2*c**2 - 369481. Let b(g) = 8*g + 3. Give z(b(n)).\nAnswer: -128*n**2 - 96*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -23\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - 2*l + (1 + 1 - 1)*(2*l - 2*l - 2*l) - 296623*l - 22 - 68 + 296570*l.\nAnswer: -57*l - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949885591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-6\/7))\/(k\/(k*(k*k**21*k)\/k)))\/(k\/(k**(-10)*k))**(-13) assuming k is positive.\nAnswer: k**(1072\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 + 7*j**4\/24 + j**3\/6 + j**2. Determine w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -44. Let g = -167.8 - -165.8. Which is the nearest to g? (a) -1\/2 (b) -0.01 (c) y (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 26*n - 2. Let o(w) = -4*w. What is o(r(f))?\nAnswer: -104*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26812*a**2\/5 - 6723*a\/5 - 1.\nAnswer: -(4*a + 1)*(6703*a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.94 and 105.8.\nAnswer: 91.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41\/191 - 17435\/1528. Find the common denominator of g and (-3)\/4*(-56)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10816 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = g + 3*f - 14, 3*g - 50 = -f. Let t be ((-25823)\/(-2982))\/g - (-1)\/(-2). Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/26 - 315\/(-65). Let s(y) = y**3 + 3*y**2 + 5*y - 5. Let c be s(r). Calculate the highest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26767527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from ljhlhbhhjlhlhlhhll?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, -7 in decreasing order.\nAnswer: 18, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -11021201?\nAnswer: 11021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0) + (0 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 0)*(-2)\/2. Let m = d + 4. Let y be m\/(2\/4) + 1. Let t(v) = 5*v + 1. Calculate t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 781173201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 6:37 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*n, -2 = -4*o + n + 2*n. Let s(k) = -k + 5. Let f be s(5). Let w be 0\/(1 - 2 - f). Solve d + o*d - 9 = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 - 270*w**5 + 41*w**5 + 2440*w + w**4 - 676*w**5 wrt w?\nAnswer: -18100*w**3 + 12*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81283289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59584, -59551, -59468, -59311, -59056?\nAnswer: -58679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -11058?\nAnswer: -5\/1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a + 4*a**5 - 172*a**4 + 176*a**4 - 5*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q**3\/5 + 177119916*q**2\/5 - 236159864*q\/5 + 78719952\/5 = 0. Calculate q.\nAnswer: 2\/3, 9839994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*o**2*q**3 - 490*g*o**2*q + 13*g*q**3 + 160*q**3 wrt o?\nAnswer: -2*g*o*q**3 - 980*g*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k. Let d be 3\/2*952\/42*1. Let z = d + -28. Let l be a(z). Sort 2, l, -0.1 in increasing order.\nAnswer: l, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 3 = -z. What is the remainder when (10\/(-4))\/(z\/(-14)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133431 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, -5 in descending order.\nAnswer: 22, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 11*y + 6. Let x = 2 - 13. Let b(t) = 2*t + 1. Calculate x*b(d) + 2*m(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*d**3 + 779*d**3 - 214*d**3 - 194*d**3 - 192*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:55 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from dddfffdddddoodddoddo.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 8141*(2 + -4). Suppose -n = 4*r - 585. Let t = r - -15785\/4. What is the common denominator of 21 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2646 and 81?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -10*p - 8\/3*p**2 - 1\/15*p**5 + 1\/9*p**4 + 8\/9*p**3 + 3. Find z such that q(z) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574864.5 micrometers in meters?\nAnswer: 0.5748645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*g + 75. Suppose -5*f + 5*q = 2*q - 19, 3*f = 3*q + g. Solve n - 24 = -n - 5*a, -a = -f*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 14. Suppose -2*z + 3 = -3*f, 5*f + 3 + 2 = 3*z. Suppose r = -z + y. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 53090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, p: 1, v: 1, z: 1}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaa. Give prob of sequence ia.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3948, -15752, -35424, -62964?\n\"Answer: -3934*c**2 - 2*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u, g - 5*g = -3*u - 75. Let k = -4 + 7. Suppose -g = -k*v + 9. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 412470 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -511726 (base 8) to base 12\nAnswer: -81906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - 1. Let n be (-8 - -9)\/((-1)\/r). Suppose -11 = -3*z + n. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-25) + 2 + 954\/15. Let k = -53 + z. Calculate the remainder when 48 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1311\/2*h + 164 - 2*h**2 = 0. Calculate h.\nAnswer: -328, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.13 - 1.8. Let q = 1.82 + s. Let c = 1.096 + q. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - -65. Let y = 121 - k. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140146?\nAnswer: 2, 79, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706469761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 10, 5*y - 5*v + 68 = 123. Solve 5*t - t = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20258 - 1866 = -83*p + 567*p for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d - 5*d + 27*d - 12*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 47. Let d be 100 + -5*(-7 - -9) + 10. Calculate the highest common factor of r and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670986.\nAnswer: 2, 3, 37277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/34901 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28514122 divided by 1\nAnswer: 28514122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**5*v + 9680*o**4 + 2*o**2*v - o**2 - 30876*o*v + 2*v + 2 wrt o?\nAnswer: -360*o**2*v + 232320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -646.1 + 673. Let d = 34.3 + -7.3. Let b = d - r. Sort b, 2, -4.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/136)\/((-80)\/(-48))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 46*d**2 - 141*d + 3177. Is c(27) a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29, -32, -37, -44, -53, -64, -77?\n\"Answer: -m**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 42 = -14*l + 12, 0 = -m - l - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 2. Let v = 9 - p. Let a(i) = -463*i - 5554. Let l be a(-12). Solve -v*o - 5*s + 16 = 0, -o = 2*s - 5 - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 2, h: 4, e: 4}. Give prob of sequence mooe.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 13*j**5\/60 + j**4\/24 + 23*j**3\/6 + 25*j**2\/2 - 12*j. Let t(h) be the first derivative of x(h). Is t(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d. Let x = d + 8. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 21*o - 2. Let j(i) = -2*i. Calculate -14*j(f) + 2*z(f).\nAnswer: 2*f**2 - 14*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 15) in base 13?\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22350 + 24130?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:04 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4 - 3) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 - 25*n + 14. Let w(q) = 14*q**2 - 74*q + 39. Let u(i) = 17*p(i) - 6*w(i). Calculate u(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -1.2. Let v = 34.2 - 34. Which is the smallest value? (a) l (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*t**2 + 524*t**2 + 72 - 70 + 315*t**2.\nAnswer: 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**4\/24 + 7*x**3\/2 - 9*x**2. Let s(c) = 6. Determine 6*b(r) - 21*s(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 576.06179 and 6.\nAnswer: 3456.37074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 13560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 2*b**3 + 3*b**3 + (0*b**2 + 0*b**2 - 2*b**2)*(75 - 161 - 47*b + 48*b).\nAnswer: b**3 + 172*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -235, -984, -2239, -4000, -6267?\n\"Answer: -253*i**2 + 10*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:48 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 77 = a, 2*a + 2*a = -5*k + 133. Let y be -4*((-26)\/(-4) + -2). Let g = y + k. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*w - f, -187*w + 191*w - 9*f - 24 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsg when three letters picked without replacement from {s: 2, u: 5, c: 9, g: 2, r: 2}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/130 - -88\/65. Find p such that 3*p**2 + 21\/2*p + 6 - z*p**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155720749 is divided by 38930186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-26327300\nAnswer: -5792006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 2, n: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/9 + 587926*h\/9 + 587932\/3 = 0?\nAnswer: -3, 293966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-2) + 1\/(-2). Suppose 0 = -i*h + 5 + 1. Suppose 0*r - 12 = -3*r. What is the remainder when r is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3323 - 6.807.\nAnswer: 3316.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 27*x**2 - 84*x - 177. Determine z(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 + 51*z**4 - 306*z**3 - 5628*z**2 + 5880*z = 0.\nAnswer: -14, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -0. Suppose -3*k + l = -0*y + y, y + 3 = 2*k. Let c(q) = -q**2 + 1. Let f(b) = -2*b**3 - 4*b**2 + 4. Give k*f(v) - 4*c(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 19084*h**2.\nAnswer: -2*h**2*(h + 9542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1573*v - 17837. What is c(12)?\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 906\/(-8)*(-520)\/(-390). Which is greater: -149 or i?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 5, -1\/5, -17, 2852.\nAnswer: -17, -3\/5, -1\/5, 5, 2852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*m - 32. Let n(y) = y**3 - 3*y**2 - 2*y - 4. Let z be n(m). Put 0, -12, z, -4 in increasing order.\nAnswer: -12, -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 9. Let i be -1*6\/q - -37. Suppose -2*l + i = -35. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50558, -50584, -50634, -50714, -50830, -50988?\n\"Answer: -p**3 - 6*p**2 - p - 50550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1847*b - 9*b**3 + 1882*b - 7522*b + 1912*b + 1881*b.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2576?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6417 is divided by 246?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 31 - d + d + 0*d.\nAnswer: 2*d + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a + 9. Let n be r(6). Let g = n - 37. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 443.\nAnswer: 1\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cffcfcf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-3 - -1)) + -98 - -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1221123102 (base 4) to base 13\nAnswer: 121725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5\/17 - 962*h**4\/17 - 56132*h**3\/17 + 205448*h**2\/17 - 178608*h\/17 = 0. Calculate h.\nAnswer: -122, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 a factor of 21870875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 8. Suppose c = 2*z + z + 22, 2*c + 2*z - 76 = 0. Let b = -36 + c. Let p be a(b). Solve 5*n - p*o = 17, -o = 3*n - 14 - 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 5, z: 6, a: 4, t: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 2, 5226.\nAnswer: -73, 2, 5226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 83. Let y(j) be the first derivative of -j**2 - 2. What is y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27692264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -1. Let d = 62 + w. Let s = -31.0000045 + d. What is s rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-21) - 66\/(-14). Let j be (-4)\/k*25\/(-10). Factor -i**2 + 3*i + 0 + 0*i**j - 2.\nAnswer: -(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -248, -2597, -9276, -22547, -44672, -77913, -124532, -186791?\n\"Answer: -377*l**3 + 97*l**2 - l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-40)\/14 - 36\/7. Put -2, 4, i in descending order.\nAnswer: 4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009814 to 4 decimal places.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -705, -710, -717, -726?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2615 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 - 254*m**2 - 2. Give l(2).\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p - 25*p - 22*p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(27 - 18 - 18)*(f + 2*f**2 - f) + (1 + f - 1)*(-2*f - 3*f + 2*f) in the form p*f + j + h*f**2 and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8409 is divided by 57.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 1. Let a(t) = -11*t + 4. Let v(i) = -i**2 - 7*i - 6. Let q be v(-7). Let n(y) = q*a(y) + 17*m(y). What are the prime factors of n(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17\/4*z + 1\/4*z**3 + 21\/4 - 5\/4*z**2 = 0. What is z?\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24845027*h**4 - 43422418*h wrt h.\nAnswer: -298140324*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -37. Let k = f - -36. Which is the smallest value? (a) k (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2\/5 - 47575224*z\/5 + 95150436\/5 = 0. What is z?\nAnswer: 2, 15858406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15565*f - 3*f**6 + 251*f**2 - 9*f**4 + 7780*f + 7785*f wrt f.\nAnswer: -360*f**3 - 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Suppose -8 = -r*k - 4*k. Suppose k = q + 7. Sort 0, q, -2.\nAnswer: q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7346 + -7337. Which is smaller: r or 616?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6 and ((-57)\/2)\/((-8)\/32*-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/7 - 57*a**4\/7 + 417*a**3\/7 - 1455*a**2\/7 + 2400*a\/7 - 1500\/7.\nAnswer: 3*(a - 5)**3*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 50362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*u - 71 - 13. Let y be (10*-2)\/u*(-21)\/(-7). Suppose x = -0*x + 4. Solve -y = h + x*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**5 - s - 6*s**5 + 5*s + 2*s wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**2 - 9*y + 52. Calculate the remainder when n(6) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (14*-3)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 25. Let x(f) = -f**3 - 6*f**2 + 8*f. Let g be x(-7). Let v = 8 + g. Solve m*w - v = 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*o + k, k = o - 3*k + 11. Let c be (2 - (-99)\/o) + 10\/(-25). Let u(h) = 6 + 2*h - 3*h + 2*h. Calculate u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.041 (b) 105\/4 (c) 2 (d) -0.23 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.65, -14, 9716 in descending order.\nAnswer: 9716, 1.65, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.962 - -0.038. Are z and -0.067 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 6:00 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*a**2 + 10*a - 28815 + 2*a**4 + 81*a**2 + 0*a**4 + 28839 wrt a?\nAnswer: 24*a**2 + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25.94267844 from -94.\nAnswer: -119.94267844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 15644*g**3 - 203406*g**2 - 218574*g + 476 = 0. What is g?\nAnswer: -1, 17\/7822, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*j**2 - 1158*j**2 + 378*j**2 + 382*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -89*o**2 + 440*o + 44. Give h(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2570420 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -2, -0.1, -0.6, -0.03?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*c + 11*c - 92 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*z, 3*a - 2*a - 3 = 0. Let k be ((-39)\/z)\/((-1)\/(-2)). Solve 3*b + 12 = -3*w, 2*w - k = -w + 2*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324107 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 21*l - 38. Calculate the greatest common divisor of l and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4177610351 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 160\/(-35))*-7. Solve 11 = 2*v - 3*v - 2*b, v - l*b = 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5888 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232*j - 1278*j = -2760. What is the remainder when 2996 is divided by j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-21)\/(-315)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Suppose 22 = -5*x - k, 2*k - 14 = 3*x + 3*k. Let u = x + 9. Let m(b) = b - 1. Determine u*m(h) - 6*f(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 735, 730, 725, 720, 715, 710?\n\"Answer: -5*v + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 996?\nAnswer: a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 42, 70, 116, 186?\n\"Answer: m**3 + 9*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1358, 1\/7 in decreasing order.\nAnswer: 1358, 2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69306944 >= 69306945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(700) + 1 - sqrt(700)) - ((0 + 1*sqrt(700))**2 + -1).\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 - 43. Let b be (-70)\/(-25)*4\/(12\/105). Suppose 4*f + a = -0*a + r, 0 = -5*f + a + b. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6968*w + 285745. Determine h(-41).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/7208 and 36\/79?\nAnswer: 569432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 0, -4*i + 5*w - 4276 - 899 = -5*i. What is i rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 211. Let m = -148.4 - r. What is m rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 50. Suppose 2*m - 3 = 7. Let l(j) = -j**3 + 6*j**2 - 3*j + 7. What is the remainder when s is divided by l(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxxx when four letters picked without replacement from {x: 17, p: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412727 and 74653049?\nAnswer: 8423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/287 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4\/9, -0.07, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 2\/13 (d) 0.15 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51177.37kg to nanograms.\nAnswer: 51177370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202938 or 202946?\nAnswer: 202946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5055015.\nAnswer: 3, 5, 7, 31, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*u**3 - 235*u**3 - 187*u**3 - 182*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847.402 millimeters in micrometers?\nAnswer: 1847402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -4)*1\/(-2). Let r = -39.1 - -22.1. Let l = r + 17. What is the fourth biggest value in 0.4, x, l, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-44))\/((-35)\/196)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*l = 5, -15 = -4*a + 6*l - 5*l. Suppose 120 = a*m + 2*x - 4, -4*m + 152 = -5*x. Solve -4*t - 13 = -m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/43 - 555\/86. Let n = p + 87\/14. What is the closest to 1 in 0.4, -0.3, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/768 - (-9)\/(-48)) + (1 - 193\/(-4))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 x when three letters picked without replacement from {i: 4, g: 4, x: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 139 + 157 = 4*g, -4*w + 2*g = 408. Let n(o) = -27*o + 10. Let m be n(7). Let p = w - m. What is the remainder when p is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541670813 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1051 + 15868?\nAnswer: 168b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1475*q**2 - 1363*q. Let c(b) = 2212*b**2 - 2043*b. Let r(d) = 5*c(d) - 8*s(d). Find the second derivative of r(v) wrt v.\nAnswer: -1480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 115 = y, 5*s - 2*y = 7*s - 46. Suppose -5*u = -s + 13. Solve -2*z - 10 = -5*k + z, -u*k - 2*z = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let h be (-3)\/(-9) + (-16)\/(-6). Suppose 0 = -3*b + f + 2, -b - 6 = f - h*f. Let d(o) = -5*o**2 + o**b + 3*o**2. Determine d(i(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1081.9, 0, 34, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 195 (b) -0.4 (c) 0.0662 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 12}. Give prob of sequence xxx.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -64. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9003 + -8999. Let d(b) = -17*b - 5. Determine d(z).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6534385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = -33*s - 464 + 13 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.164 + -0.064. Let t = 3 - a. Let j = t + 0.95. Round j to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 8 + q**3 - 2*q**3 + 6*q - 6*q**2. Let g(p) = p + 1. Let i(h) = -4*g(h) - v(h). What is the remainder when 21 is divided by i(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1300) - 2*sqrt(1300))*-3)**2 - ((sqrt(1300) + -3)**2 + 3)).\nAnswer: 180*sqrt(13) + 31164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -565*b**4\/4 - 205*b**3 - 265. Find the third derivative of r(u) wrt u.\nAnswer: -3390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22169447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -2. Let x = 6 - v. What is the remainder when 2\/8 + 131\/x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 5*q + 29, -3*w = 5*q + 11. Let k(i) = 2*i + 4*i**2 - w*i - 9*i**2 + i. Let n(d) = -d**2. Give n(k(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2495*l. Let i(u) = -9*u**2 + 3*u - 1. Let h(g) = 7*g**2 - 3*g + 1. Let b(a) = h(a) + i(a). Give v(b(j)).\nAnswer: 4990*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46798 in -0.12, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14109, 32114, 80971, 176106, 332945, 566914, 893439, 1327946?\nAnswer: 1885861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -59. Solve a*r - 3*r = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*r**2*v**2 + 2*l**2*r*v**2 - 2*l**2*v**2 + l*r*v - l*v**2 - 23*r**3*v**2 + 2*r**2 wrt r.\nAnswer: -4*l**2*v**2 - 138*r*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719288.6 kilometers in nanometers?\nAnswer: 719288600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(208) + 4*sqrt(208))*4)**2.\nAnswer: 640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyzyyogyyeogq. Give prob of sequence qe.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 79*r. Is r less than or equal to 4\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973712157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -13c4?\nAnswer: 13c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45015 (base 6) in base 10?\nAnswer: -6275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**4 + x**3 - x**2 + x + 1. Let w(g) = -45*g**4 - 6*g**3 + 89*g**2 - 6*g - 6. Let c(r) = 6*b(r) + w(r). What is the third derivative of c(y) wrt y?\nAnswer: -1224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -9. Let o(n) = -4*n**3. Let v be o(1). Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s + 541. Let d(i) = i + 1. Give -6*d(f) + y(f).\nAnswer: -f + 535","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3253 + -22?\nAnswer: -3315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -82. Suppose 2*m - i = -0*m. Let s = m - 7. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/4 + 13008111*c**2\/4 + 3525223284210*c - 10575699120900 = 0.\nAnswer: -2168020, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 2) + (15 - 79) + 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/112 and 53\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1363181, -1363182, -1363183?\n\"Answer: -n - 1363180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 26*r - 78. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115665391, 231330780, 346996163, 462661540?\nAnswer: 578326911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2928*q - 62099 + 34187 = -220*q + 112904 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 1475166?\nAnswer: 7375830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/120 + s**5\/20 - s**4\/3 - 2*s**3\/3 - 10*s**2. What is the tens digit of v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -1\/3*t**3 - 293 + 0*t**2 + 27\/2*t**4 - 137*t. Differentiate w(n) wrt n.\nAnswer: 162*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h + 3. Let w be p(6). Suppose -5*x = c - 5*c - w, 103 = 5*x + 4*c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -33 in decreasing order.\nAnswer: 4, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 36. Calculate the lowest common multiple of f(-13) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 16*t + 48.\nAnswer: -4*(t - 6)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 39 + 11. What is the remainder when v is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/1089 and -56\/1331.\nAnswer: 11979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -10, -8.8, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 - 11*x**4 - 4*x**3 + 48*x**2 - 32*x - 16 = 0. What is x?\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656087513?\nAnswer: 3, 577, 956723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*g**3 + 25*g**3 - 106*g**3)*(3 + 1 - 2) + (0 + g + 0)*(3 + g**2 - 3) - 2*g**3 - g + g.\nAnswer: -227*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + -1*sqrt(833)*5 - -6*(sqrt(833) + (sqrt(833) + 1)*-3)*-1.\nAnswer: 19 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2 - l**3 + 3*l**2 + 1 + 6*l**2 - 8*l**2. Let s be ((-6)\/18)\/((-2)\/6). Let t(j) = 3*j**3 - 4*j**2 + 5. Let f(z) = s*t(z) + 4*m(z). Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdzi when four letters picked without replacement from dzttsdzitdstztzctt.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = 0, 466 = -4*u + 2*p + 1436. Suppose 9*b - 28 - u = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 11*p - 45. Calculate the remainder when 40 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 44364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218376, -218375, -218374?\nAnswer: -218373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Suppose 0*y = -5*z - y + 7, -z - 7 = 3*y. Let j(n) = 5*n - n - 4*n + z*n. What is f(j(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 11, 1\/2, -0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -534952 - -42787061\/80. Let r be (-9)\/(-30) - (-4 + (-669)\/6). Let w = m + r. What is the common denominator of w and -79\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/6 - 3*o**2 - 42*o. Let w(c) = 54*c**2 + 5. Calculate f(w(q)).\nAnswer: -216*q**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -10. Solve -2*x = -5*j + 2*x + 3, 3*x = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 17 + 45. What are the prime factors of 5 - 92\/(4\/a)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, 14, 0, -22 in descending order.\nAnswer: 170, 14, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-720)\/(-39 + 9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505572 divided by -6.\nAnswer: -84262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -196140 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -14523?\nAnswer: -14523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19492 - -19479. Let q(w) = -7*w**3 - 3*w**2 + 4*w - 6. Let v(t) = -15*t**3 - 7*t**2 + 9*t - 13. Give d*q(n) + 6*v(n).\nAnswer: n**3 - 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72870 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93033?\nAnswer: 3, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:01 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-2)\/(-2))\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8363*u**2 + 8395*u**2 - 16763*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -16. Let h be 4\/2*9\/a. Solve -h = -5*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.184 from -31296.31.\nAnswer: -31295.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900270503 is divided by 2604.\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2 = 5*f, 0 = 2*l - 3*l + 5*f - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 2134 - 3381 + 1247.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 10766.\nAnswer: -2153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let v(d) = d - 1. Let x be ((-4)\/6)\/((-12)\/(-18)). Let a(l) = 115*l - 92. Let u(h) = x*a(h) + 92*v(h). Calculate i(u(t)).\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 + 5*y + 6. Let t be o(-4). Let x be (-856)\/(-16) - (-2)\/4. What is the tens digit of x - (-8)\/4 - t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - (-2)\/(-2) - 2. Let w be -6 - -2 - (-16 - -6). Let u be 8\/(-3) - -3 - (-5 + w). What is the third smallest value in -2, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 33 + 94. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/4 + 773465*p\/2 - 4640799\/4 = 0.\nAnswer: -1546933, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128834814 to the power of 1\/2, to the nearest integer?\nAnswer: 11351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 40\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*v**4 + 45*v**4 + 17*v**4 - 13*v**4)*(92 - 162 + 110) in the form c + q*v**4 + t*v**2 + i*v**3 + k*v and give q.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1574490 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2. Let j(t) = 5*t. Let p(s) = -45*s. Let g = -134 - -189. Let d(m) = g*j(m) + 6*p(m). What is r(d(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076997 less than or equal to 93464858\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 23*a**2 - 2*a. Let k be g(-2). Let u(v) = v**3 + 3*v**2 - 5*v + 3. Let d be u(2). Let l = d + k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(891)*2))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*b + 27, 3*b + 10 = 5*f + 2*b. Let y be -10 + 5 + 4 + (-51)\/f. Is y >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357687 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 - -180. What is the remainder when 85 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 168*x\/13 + 1216\/13.\nAnswer: 2*(x - 76)*(x - 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 5. Suppose -3*k - 5 = -4*k. Suppose 2*c - 5*d = -2*c + 22, 0 = 3*c + 2*d - k. Sort c, 2, n in ascending order.\nAnswer: n, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(10878\/(-84)) + 2727\/(-63)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 6*h**2 + 0*h**2 - 2*h - 2*h**2 + 2*h + (5*h - 4*h + h)*(-4*h - h + 2*h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 greater than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -156631 greater than or equal to -156630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448056727, 448056728, 448056729, 448056730, 448056731?\nAnswer: 448056732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 2:11 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006675 rounded to six decimal places?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**5\/20 + r**4\/6 - 5*r**3\/6 - 2*r**2 - 7*r. Is 28 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30987 is divided by 1821.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2 + sqrt(1053))**2 - sqrt(1053)) + (sqrt(117)*-1*3)**2.\nAnswer: -99*sqrt(13) + 2131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15244707?\nAnswer: 3, 19, 267451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140398362*c**3*k + 2*c**3 + 107*c*k - 9840*c - 2*k - 4 wrt c.\nAnswer: -842390172*c*k + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + (-305249)\/21805 - -5. Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*w + 104 = -6*x, -5*w = -3*x - 67. Let m = -3479\/111 + 99\/37. Let p = x - m. Which is greater: p or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*x + 14507 + 43460 = 0. Solve -27*a = 154 - x for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, t: 5, v: 1, c: 1}. What is prob of picking 1 s, 1 v, and 1 c?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 4*s + 3*s**3 + (4*s**2 - 3*s**2 + 7*s**2)*(2 - s - 2) as a*s**3 + z + t*s + d*s**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**8\/7 + x**4\/2 + x. What is the third derivative of d(q) wrt q?\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -356558, -1425664, -3207508, -5702090, -8909410?\n\"Answer: -356369*m**2 + m - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 23 = 4*l, -1763*l + 1768*l = 4*c + 22. Factor -2\/9*n**l - 4\/3 + 10\/9*n.\nAnswer: -2*(n - 3)*(n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 - 106. Suppose -5*o - 94 = -5*g + 2*g, -90 = -3*g + 3*o. Let p = g - n. What is p rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 0.50073, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (66 - 66) + (-1 - 296\/(-2)) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-24)*-1*(-13)\/(-325)*20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 30, 2, 6631, 2\/11, 0.5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1016*y**2 - 36*y**2 - 7963*y + 3948*y + 4013*y as i + j*y + p*y**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {m: 3, d: 5, w: 2, r: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 73*j + 19. Is g(46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 - 7*a - 12. Is 9 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*t - 130*t = -5800 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 161.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = 3*p + 4*p. Let j(r) = -3*r - 11. Calculate j(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifww when four letters picked without replacement from fxxwxufixffxxxxxuux?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 212b (base 12) in base 15?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(24\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*17*56\/168.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2266 - 485. Let t = s - 366. Suppose 4*d - t = 57. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*g + 8*f - 3*f, 3*g + 2*f + 4 = 0. Let k = -1 - g. What is the remainder when k - -1 - (-42 - 4) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 8}. What is prob of sequence ot?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295530 and 9084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/70)\/(3\/((-6750)\/(-8))) - (-1782)\/324\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278534 plus -0.4?\nAnswer: -1278534.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.236, 5, -215?\nAnswer: -0.236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19486845 to the power of 1\/2, to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 12:40 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 6, v: 7}. What is prob of sequence wn?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1211 or 660?\nAnswer: -1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177419*z**2 - 177421*z - 2 = 0. What is z?\nAnswer: -1, -2\/177419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -192\/23, 0.1, 0.5, -15 in decreasing order.\nAnswer: 0.5, 2\/5, 0.1, -192\/23, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a. Let v = -29 - -32. Let u(g) = v*g**2 + g**2 + g**2 - g**2. Calculate u(d(s)).\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3705 is divided by 856?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 613*i - 6228. Let h be x(-10). Determine s, given that 0*s - 5\/4*s**3 - 40 + 15\/2*s**h = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57)\/(-5))\/(17\/85) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48.02137mg?\nAnswer: 0.04802137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z - 1. Let v(q) = -2*q**2 + q + 3. Let m(o) = j(o) - v(o). Let i be (1 - 6\/9)*15. Suppose -a + 2 = i. Give m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + v)*(4 - 3 + 0) - 2*v - v + v - 69*v - 70*v + 7*v.\nAnswer: -133*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30899\/390 - -1072\/13. What is the common denominator of y and (12\/135)\/(30\/850)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c2719 (base 13) in base 15?\nAnswer: 1dd3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-11 + 8)\/(-9)*3). Let r be (2 + -1)*4\/2. Solve 7*w - 2*w - 3*l + 37 = h, w - r*l = -13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 612 - 269. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*g**3 + 39045*g**2 - 1385565*g - 25205 = 0 for g.\nAnswer: -1\/55, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a**2*c**3*m**2 + 6*a**2*c**2 + 3*a**2 - 31875*a*c**3*m + 130*a*c**2*m - 82*c**2*m**2 + 2*c*m wrt c?\nAnswer: -72*a**2*m**2 - 191250*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62721 - 6270*d + 20468*d + 125438 - 62717 as w + l*d and give l.\nAnswer: 14198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/35)\/d**8*d**(5\/3)*d**(-17) assuming d is positive.\nAnswer: d**(-2456\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-8)\/((-40)\/15). Suppose -i*f - 514 - 734 = 0. Let l = f - -14350\/23. What is the closest to 5 in -1\/6, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4628945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g + 160. Let u(k) = -10*k - 1. Calculate the least common multiple of (g\/24)\/(2\/(-3)) and u(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-248)\/341*220\/200*(-45)\/87.\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 358449 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -782473\/84 - -37261\/4. Let -2\/7*f**2 + 2\/7 - 2\/21*f**3 + s*f = 0. What is f?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k = -10. Let j(g) = -3*g - g**2 + g**2 + g**2. What is the remainder when 28 is divided by j(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264346*c = -264428*c + 1968 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 622381870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*r + 36, 3 = -2*m + r - 1. Let t be (m\/(-3))\/((-6)\/(-9)). Find the third derivative of 2*q**t + 2*q**4 + q**2 + 0*q**2 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1676143 (base 8) to base 9\nAnswer: -826865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p - 7936 = -42*p - 181*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/51*15\/(-1160)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -228223?\nAnswer: 228224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212002211001 + -21?\nAnswer: 212002210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7300204417 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16*3\/(-15))\/((-2)\/10). Suppose 6*d - t + 4 = 0. Solve -6*y + 3*u = -d*y + 19, -3*y = -4*u + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 9*y. Solve -2*i + 6 - 10 = y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 2447 + 2319 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 311121?\nAnswer: 311122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211073 + -91482. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 701149685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3003 and 7.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.995 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) + sqrt(756) + 4*(sqrt(756) + 2*sqrt(756)))*-1)\/(-4*6*(sqrt(126)\/sqrt(6))\/sqrt(7)).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 110*a**2 + 107*a + 52. Give g(54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)*(1 - 5). Which is the second smallest value? (a) 4 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + 2 + sqrt(72) + 3*sqrt(72))*-6*-4)**2.\nAnswer: -86400*sqrt(2) + 669177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 99?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from qgggggqqauugququ.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -79 - 61. Let k = -9 - o. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -152161454 and -147835.\nAnswer: -152309289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 9. Let t be s(16). Let n(v) = 3*v**2 + 18*v - 8. Let m be n(t). Suppose 2170 = h + m*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89935.\nAnswer: 5, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -55*f - 4. Let j be o(-11). Let i = -1819\/3 + j. Let z = i - -106\/21. Which is the second biggest value? (a) z (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -278a6?\nAnswer: 278a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197105 and 514290?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.81839 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 + 276*t - 1152 = 0. What is t?\nAnswer: -96, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwoooll. What is prob of sequence wllo?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -644 (base 8) to base 3\nAnswer: -120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*w + 153 = -0*c, 0 = 4*c + 2*w - 174. Calculate the remainder when 227 is divided by c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(3*(sqrt(36) + sqrt(9))).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 28092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8870652 divided by 985628?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 905111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39718176 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 863882 and 8536.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Let x be y(-6). Let o = 1850 - 1851. What is the tens digit of -2 - -6 - x\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 65 - 15 = -4*t, o - 4*t - 16 = 0. Suppose -r + o = 9. Factor -77*u**2 + 5*u**3 - 41*u + 290*u + 51*u + r*u**2 - 360.\nAnswer: 5*(u - 6)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**3 - 207*z**2 + 104*z - 69. Give i(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -17*t + 499608 - 2751108. What is t rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*i*n**3 - 17*i*n**2 - 94*i*n + 185*n**3 - 2698*n - 3 wrt n?\nAnswer: -102*i*n - 34*i + 1110*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 - 106*n. Let r(p) = -p**2. Give s(r(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936979 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (12 - 7) - 7 - -16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 6*b - 2. Let i be y(5). Let z = -6 + i. Let c(l) = l**2 - 14*l + 30. What is the remainder when 8 is divided by c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/83993 and 51\/95992?\nAnswer: 671944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625150 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -3 in descending order.\nAnswer: 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/6 + 255*b\/2 = 0.\nAnswer: -765, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 + o**4 + 3*o**4 + o**4 + 2*o**4 + (-2*o + 2*o + o)*(-3*o**2 + 2*o**3 + 3*o**2).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {o: 2, k: 5, b: 1, u: 1, a: 7, f: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-81)\/(-6)*784\/(-12). Let r be -3 + (y\/(-340) - -1). Let i = r - -7\/34. What is the third smallest value in -2\/11, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/13)*m*m**(1\/8)*m)\/((m\/m**(-20))\/(m\/(m**(-3\/4)\/m))) assuming m is positive.\nAnswer: m**(-1605\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/9 + 632*i**2\/9 - 3202*i\/9 + 856\/3 = 0.\nAnswer: -321, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**5\/b)*b*b*b*(b\/b**1)\/b)**(-21\/5)*b*b*b\/(b*b\/(b**(-1\/5)*b))*b*b**(-4)*b**5\/b*b**(1\/4) assuming b is positive.\nAnswer: b**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*p - 5)*(3*p - p + 0*p) + 5*p - p**2 - 5*p - 200 + 44*p - p**2 + 200.\nAnswer: -6*p**2 + 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqalaaaltatlaamll. What is prob of sequence tll?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p**2 - 30*p - 11. Calculate q(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 4*p + 24, 14 = -3*w - 4*p. Let h be (w + (-3)\/3)*2. Suppose -3*d - 5 = -17, h*d - 8 = -j. Put 2, j, 5 in ascending order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b1 (base 12) to base 2.\nAnswer: -1011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -343, 4, 1, 5 in decreasing order.\nAnswer: 5, 4, 1, 0, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 8. Let i(f) be the second derivative of f**3\/6 - 9*f + 133. Calculate i(m(v)).\nAnswer: -2*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -767\/4 + 192. Let n(k) be the second derivative of -2*k + 0*k**3 + 0 - 2*k**2 - f*k**4. Differentiate n(t) with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + (-21 - (-33 - -52 - 21)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-75)*6*1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6045*l - 28 = 6041*l. Solve l*w + 5*x - 26 = 3*w, 4 = 3*w - 4*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:45 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 - 4*n**3 - 3*n**3 + (-n + n + 2*n**2)*((0 + 4 - 2)*(-5*n + 2*n + n) + 3 + n - 3 - 3*n + 0*n + 2*n + 245*n + 36266 - 36266).\nAnswer: 479*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*sqrt(10)*2 - sqrt(10))\/(sqrt(5) - (sqrt(5) - 1*sqrt(20))) + -5)**2.\nAnswer: -72*sqrt(2) + 209\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5459300*v**4 - 10875596*v**3 - 5373316*v**2 + 42956*v - 24 = 0.\nAnswer: -1, 3\/4963, 2\/275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 2*k**2 - 2*k - 1. Suppose -65*p = -71*p. Give q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156675697?\nAnswer: 83, 1887659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2133033?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 177*f + 2843. Let m be s(-16). Solve l = 3*n + 13, -m*n - 3*l - 1 = -12*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**2 + 2*n + 1. Let p be b(-1). Let o be -2 + -2 + p + -2. Suppose -t - 3*t + 40 = 4*k, -o*k - t + 52 = 0. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/35 + -17\/210. Let z = 18\/5 + -116\/35. Which is the closest to z? (a) -2 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -51, -107, -193, -315, -479?\n\"Answer: -w**3 - 6*w**2 - 7*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63624 and 381816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 12425*d - 65 = -12411*d, -2*r + 15*d - 1 = 0 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (6 - 1) - 3*-4. Solve 8 = f + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1243, -4856, -10885, -19336, -30215, -43528, -59281, -77480?\nAnswer: -98131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:50 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -480 - -291. Let t = -59 - -60. List the prime factors of (t\/3)\/((-7)\/y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -5*u**3\/6 - 232*u. Let x(i) = i - 4. Calculate k(x(c)).\nAnswer: -5*c + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.053\nAnswer: -0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -35*j**3 + 29*j**2 + j - 3. Let i(m) = 13*m**3 - 10*m**2 + 1. Let c(f) = -8*i(f) - 3*y(f). Determine c(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 66.14691 millennia?\nAnswer: 6614.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 772017 - 7632017 = 0. Round d to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15*-8*55\/(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 450918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*z - 224 = -0*p, 4*p = -2*z - 440. Let m = -64 - p. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/720 + p**4\/6 + p. Let h(u) be the third derivative of w(u). What is h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/8 + 1417125*h**2\/8 + 20918403528*h - 188279980416.\nAnswer: 3*(h - 9)*(h + 236192)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = r + 6, -9 = -l + 2*r - 0. Let n = 20 - 51. Let i = 187\/6 + n. Is i at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 16*z + 4. Determine g(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 32537 in descending order.\nAnswer: 32537, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 16*g**2 - 4*g - 32. Calculate the remainder when x(-16) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84939965 divided by 1?\nAnswer: 84939965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/118430 and -53\/4073992?\nAnswer: 20369960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -672\/14419 or -7\/3?\nAnswer: -672\/14419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 12*v + 155. Is i(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -4*z. Let d = z + 2. Differentiate d*r + r + 1 - 3*r with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h + 28*h + 412901 - 1631677. List the prime factors of h.\nAnswer: 2, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01809134139 to 4 decimal places.\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x - 167*x**3 + 13*x + 81*x**3 + 85*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 5*c**2 + 12*c - 19. Let q be o(6). Suppose -20 = -5*v, -3*v = 3*n - q + 14. Suppose -4*a + n - 13 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*s**3 + 216*s**2 - 207*s + 51.\nAnswer: -3*(s - 17)*(2*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63840 by -1330.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + i, -c = 2*c + 3*i. Suppose c = 3*o - 6*o + 30. Suppose 3*m = -p + o, -3*m + 23 = -5*p + 73. What is the lowest common multiple of p and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32717, 32711, 32701, 32687?\n\"Answer: -2*s**2 + 32719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(75) + sqrt(21)\/(sqrt(7) - sqrt(252) - sqrt(7)))*1 - (sqrt(84)\/(sqrt(4) - sqrt(36)))\/(sqrt(560)\/sqrt(5)))**2*-3.\nAnswer: -15889\/64 + 357*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 73\/(-2) - (-3669)\/(-7338)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*d = 926*d + 15184 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, -57.\nAnswer: -57, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 - 33 = 0. Is 14 a factor of (-2 - i)*(-32)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87845, 175692, 263539, 351386?\nAnswer: 439233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 11*m = 52. What is the third derivative of -6*i**3 + 202*i**2 - 650*i**2 - i**4 + 224*i**m + 0*i**4 wrt i?\nAnswer: -24*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30401872 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 8. Suppose 0*b + 7*b - p = 0. Suppose -b*t + 3 = -6, 3*v - 150 = t. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, n: 1, k: 4, h: 2, e: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -558927031*c + 975909838 with respect to c.\nAnswer: -558927031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(6\/(-72) + 0).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 33*g - 130. List the prime factors of m(11).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 2200. Suppose -24*q = -o - 904. What is the remainder when 110 is divided by q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88394.6 millennia to decades.\nAnswer: 8839460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -238*h - 79. Is m(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-59 - -59 - ((0 - 0) + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -44. What is the least common multiple of 27 and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2856\/63 - 2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46467584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 169, 283, 415, 565, 733?\n\"Answer: 9*k**2 + 69*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3016 + 85*k - 3168 + 6071. Is w(6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3100.019 - 3105. Let w = 0.019 - y. Which is the second smallest value? (a) 1 (b) -3 (c) w (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 3*u - 5*u + 11*u. Let c be b(-2). Let r = 21 + c. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1625110032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10043*k + 3233851. Give h(322).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - 366\/(-54). Suppose -z*c - 899951 + 243701 = 0. Let g be (1344\/(-35))\/(1\/c). What is g rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -52 - 23. Let k be y\/(-10) - 3\/(-2). Suppose 3*h + 4*h - 560 = k. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 2. Let r be b(5). Suppose r*t - 35 = -11. Suppose p + t = 4*p. What is the smallest common multiple of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 372*z + 1864. Let s be v(-5). Let a(h) be the third derivative of 1\/20*h**5 + 10*h**2 + 0*h - 1\/8*h**s + 1\/2*h**3 + 0. Give a(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8563313575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 1. Let k(p) be the first derivative of -3*p**2\/2 + 5*p + 19. What is 2*k(q) + 10*v(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6270 - 6258 = -3*w + 3*u, -12 = w + u for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 + 1 + 0. Suppose -2 = f + 4*r, 2*r - 4 + z = 0. Let u = f + 15. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {w: 1, g: 3, n: 1, o: 1, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 - 5*j + 20. Determine l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22161*y**3 + 22164*y**3 - 2190065*y**2 + 2190065*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 844603 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056162.\nAnswer: 2, 3, 103, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -441333242 (base 5) to base 10\nAnswer: -1902322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -14, -21, -32, -47?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(40) - sqrt(1440))\/(-2*sqrt(72) - sqrt(2)).\nAnswer: 60*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jay when three letters picked without replacement from {t: 1, y: 2, g: 2, j: 1, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + r + 2. Suppose 3*o = -o + 5*c - 33, 2*o - 3*c = -19. Calculate b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*4\/(-6) - -2. Suppose q = 2*p - p - 2. Let g = 780.109 - 781.109. Which is the third smallest value? (a) g (b) p (c) -3\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b**4 + 2159*b**3 - 4*b**2 + 172634*b - 14 wrt b?\nAnswer: 132*b**2 + 12954*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -745248 and -16?\nAnswer: 11923968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -74.\nAnswer: -17\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**21*a)*((a*a*a\/(a*a*a\/(a*a\/a**(-7\/4))))\/a)\/a assuming a is positive.\nAnswer: a**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13290 divided by 2215.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 divided by -16?\nAnswer: -605\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10027.899 days to weeks.\nAnswer: 1432.557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k - 2*k)*(-3 + 2 - 1) - 4*k**2 + 2*k**2 + 0*k**2 + k - k - 2*k**2 + (-4*k + 0*k - 6*k)*(0*k + 0*k + k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4 - 0, 0 = 2*h + 4*y - 226. Calculate the greatest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2\/2 + 129*j\/8 + 33\/8 = 0?\nAnswer: -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*i - 175*i + 393*i + 235 + 38925 = 0 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, 0 = 3*d - 5*c - 0*c + 301. Let w = d - -150. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/36)\/(1164\/13968)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 5 (c) 15 (d) 3\/5 (e) 0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16.3. Let x = h - 2. Let w = x - -0.9. Is w >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 725 and 718 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 + (6286\/(-11))\/14. Which is smaller: n or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148392 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/2*(-6)\/(-12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - ((1 - 2) + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 371\/4 and 94 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20188978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 997877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 7, s: 4, a: 1, j: 4}. Give prob of sequence tau.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549473, 549453, 549431, 549407, 549381, 549353?\nAnswer: 549323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 182 - 34. Let n(v) = -2*v**3 - 7*v**2 + 51*v - 1. Let f be n(4). Is p >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**4 + 25*m**4 - 12*m - 354 + 6*m**4 - m**4 - 9*m**4 wrt m.\nAnswer: 104*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(187)*-1)\/(-3*sqrt(275)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2947\/(-32417))\/(2\/(-4)*-3).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -135. What is the second derivative of -54 + z + 4*u + 4*u**3 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9236872 centuries to years.\nAnswer: 92.36872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.712 + -1.882. Which is the closest to -1? (a) 0 (b) u (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -25. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1077741)\/(-14) - -6)*(-166)\/(-3). Let a = 10189975 - n. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63590679.\nAnswer: 3, 37, 43, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/68 and (-4 + (-18)\/(-15))\/((-192)\/(-90)).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 121, 284, 513, 808, 1169?\n\"Answer: 33*c**2 - 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(4 + -2*sqrt(1216)) - (5*(sqrt(1216)*2 + sqrt(1216)) - -1*sqrt(1216)*-6))**2*-5.\nAnswer: -2684164 + 40320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -111*1.737\nAnswer: -192.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/12 - (-2)\/(-8). Is 0 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 - 15*c - 6. Give m(-6).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15238194?\nAnswer: 2, 3, 2539699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11641, -23287, -34941, -46603?\nAnswer: -58273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(11)*2.\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 2114?\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 173 and -255.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 11*r + 27. Let j be f(-7). Let w be 34\/(87\/84 + j). Suppose -6*g - w = -13*g. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*j - 3*j - 14, 32 = 4*m + 2*j. Let p be ((-8)\/m)\/((-4)\/270). Let z(g) = 54 - 7*g - p. Let r(u) = u**2. Determine z(r(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*r + 102. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379239607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*p + 0*p - 7 = 0, -4*a = p - 17. Let z = 6 - a. Let s = -10371\/85 - -613\/5. Is s equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136773 (base 14) in base 2?\nAnswer: 111100000000010110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 25*a**2. Let q(m) be the third derivative of 109*m**4\/6 + 9723*m**2. Calculate n(q(g)).\nAnswer: 4752400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 696 + -689. Solve m*v + 21 + 0 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 7, b: 5}. What is prob of picking 1 b and 2 c?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*v - 28, v = -0*v + 4*t - 4. Put 0, -3, v in descending order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 12) + (-17)\/(-12). Let j = 19\/3 + q. Which is the nearest to j? (a) 1\/6 (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + w = -75, -4 = -2*w + 6. Let m(b) = -20*b + 460. Let p be m(12). What is the greatest common factor of p and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 744 and 0.071?\nAnswer: 743.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 14 - 3 + 909*i)*(-2*i**2 + 5*i**2 - 5*i**2).\nAnswer: -1818*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s + 13. Let m(d) = d**2 + 6*d + 6. Let h(l) = 2*l**2 + 11*l + 11. Let u(o) = -6*h(o) + 11*m(o). Calculate a(u(b)).\nAnswer: -9*b**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -4, 5\/447?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - v = 0, y + 4*v - 3*v + 4 = 0. Let p be 80\/(-6)*(y + -4). Suppose -5*c = -p - 260. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58517 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 27. Let i be 4\/((-4)\/49) - t. Is i\/(-105) - (-3)\/(21\/6682) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*u + 700, 9*u + 1412 = 4*o + 4*u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g - 23. Let o be q(4). Let z be ((-3)\/12 - (-2)\/8)*o. Solve -3*y + 6*y + 15 = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(637)*-3.\nAnswer: -21*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3680 and 33292040?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, -30, 3 in decreasing order.\nAnswer: 4, 3, -1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*o - 5 = 0, k - 37*o + 34*o - 19 = 0. Calculate the highest common factor of k and 3845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40541 is divided by 12553?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2165 and 72744?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 3. Let z(j) = -j - 1. Let q be z(3). Let y(x) = -x + 1. Let k be y(q). Let s(c) = 636 - 5*c - 643 + 2*c**2 - c**2. Calculate k*b(h) - 2*s(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34404 and 2230526.\nAnswer: 13383156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 3224*l - 401285. What is w(-120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:07 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -67 * 6\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39045780107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243975 + 245500 = -61*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5\/12 - 13*r**2\/2 - 18. Let v(m) be the second derivative of y(m). Factor v(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/6 + t**3\/3 - t**2. Differentiate u(c) wrt c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74600 and 800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = j + 36 - 46, -4 = -j - s for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 10*i**2 + 25*i - 19. Let h be x(7). Sort -10, -5, -3, h in descending order.\nAnswer: h, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 68*c - 18*c**3 + 13*c**3.\nAnswer: -5*c**3 - 84*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-1\/8)*y\/(y\/y**(1\/5))*y**(5\/8)\/(y\/(y**8*y)) assuming y is positive.\nAnswer: y**(199\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -5*c + 6*l - 3*l, 3*c + l = 102. Suppose 2*h - c = z - 19, 2*h + 2*z - 18 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548042.\nAnswer: 2, 11, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1685*b**2 + 50063*b + 1691*b**2 - 50099*b.\nAnswer: 6*b**2 - 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 9:34 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*h**3*p + 33*h**3*u + h**3 - 2*h**2*p + 3235*h**2 - 9*h*p*u - 1064*h*u + 3*p*u with respect to u.\nAnswer: 33*h**3 - 9*h*p - 1064*h + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 19*p - 6*p = -73, -109*v + 112*v - p - 54 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1578 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4\/6 + 7*y**3\/3 - 5*y**2\/2 + 5*y + 2. Let f(x) be the first derivative of s(x). Is f(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14761 is divided by 107.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/510 and -86\/5865.\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c**4 + 0*c**4 + (c - c - c**2)*(-1 + 1 - 5*c**2) - 6*c**4 - 16*c + 16*c + (-3*c**3 + c**4 + 3*c**3)*(5 - 2 - 2) + 0*c**4 + 5*c**4 - c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d + 81 = 67 + 338. Solve -c = -4*b + 6, -3*c = -d*c - b + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/9)*n*n**(5\/7))**(-28) assuming n is positive.\nAnswer: n**(-908\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.74228ml to litres.\nAnswer: 0.02074228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1432162 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 7*z**2 + 2. Let n be w(7). Let p = 451 - 448. Solve -j - p = n*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 9 + (178 + -151 - (0 + 16))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928401 is divided by 1019?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 76*v + 14. Let p(a) = -114*a - 20. Determine 7*d(u) + 5*p(u).\nAnswer: -38*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 650\/1981 or 0?\nAnswer: 650\/1981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m - 19. Calculate the smallest common multiple of 3 and f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003995 to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*z + 210*z - 38*z - 38*z - 7 - 40*z.\nAnswer: 4*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 51. Let f be w(15). Let x(y) = y**2 - 6*y - 1. Let d be x(3). Is f <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -853958850713.7 less than 0.7?\nAnswer: 853958850714.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-544)\/255)\/32 - (-64)\/60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:32 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -105039.\nAnswer: -2\/105039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 9, -j + d + 36 = 39 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4625 - -34375. What is p rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 3*h = 14040000. Round h to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*3 + 1)*78\/130. Let f(r) = -r**3 + r**2 - 3*r. Is 3 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)*h\/h**(-2\/19)*h**(-3\/4)\/(h**7*h))**(-20))**(4\/15) assuming h is positive.\nAnswer: h**(6668\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186543*q**2 - 53631*q wrt q?\nAnswer: -373086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21)\/(-28)*206\/(-57) and (-560)\/(-128)*(-4)\/50.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 7 + f**4 - 4*f**4 + 3 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b - 4. Let m be g(5). Suppose -u = 4, 9 = -3*r - 4*u - m. Let l(o) = -8*o + 8*o + r*o**2. Let h(w) = -3*w**2. Calculate l(h(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/55 - (-2 + 342\/231).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.93 + -0.07. Let y = 1.1 - 1.2. Let v = 0 - y. Which is the second biggest value? (a) 0.6 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91097.31g in tonnes?\nAnswer: 0.09109731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*y + (0 + 0 - 2)*(-2 - y + 2) + 2*y - y + y - 2 + 2 - y + (-4 + 3 + 0)*(-y - 3*y + 6*y) - 4*y - y + 3*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -29*h**8\/84 - 11*h**5\/20 - 14*h**2 - 3*h. What is the third derivative of j(t) wrt t?\nAnswer: -6960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 5085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/((-6)\/2)*(1418768\/(-1077))\/208.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708050030 a multiple of 1030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40782 is divided by 648.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3412677 is divided by 1137543.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1.6, -3, 5, 2\/19 in decreasing order.\nAnswer: 25, 5, 2\/19, -1.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (-1*(sqrt(132) + sqrt(132) + -1*sqrt(132)) + sqrt(132)))\/(sqrt(108)*1) + -6*(3 + sqrt(275)) + -1.\nAnswer: -89*sqrt(11)\/3 - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(51))\/(2*sqrt(3)*5) + 4*(sqrt(136)\/(-1*sqrt(8)) - sqrt(170)\/(sqrt(10) - sqrt(250))).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + (4 - -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 1. Suppose 2*d + 3*d + 4*y = 18, 4*d - 18 = -5*y. Let l be b(d). Let v(c) = 3*c**2 - 7. Let s(i) = -i**2 + 3. What is l*v(r) - 7*s(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/2730 and -86\/277095?\nAnswer: 554190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1331\/3*q**4 + 4477\/3*q**3 + 1908*q + 360 + 3234*q**2 = 0.\nAnswer: -6\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -j + 9, 5*r + 0 = 13*j - 19*j + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/12*4\/2. Let s = 17 + y. Calculate the least common multiple of s and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/22 and -7\/9726.\nAnswer: 106986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*s - 11717, 18*v = 16*v + 3*s + 11687. List the prime factors of v.\nAnswer: 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5)*(1 + 3*l - 1) + (-3 - 1 + 2)*(2*l - 2*l + 3*l) + l - 4 + 4.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 892 - 888. Solve z + 3 - 5 = t*a, -3*a = 4*z + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114488 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -0.4, -135\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(153)\/(-2*sqrt(9)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244 + 346. Let x = 809 - f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92, 114, 150, 200, 264, 342, 434?\n\"Answer: 7*p**2 + p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 + 14*a**2 - 14*a - 5. Let m be r(-5). What is the greatest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56100 divided by 66.\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16719 is divided by 94.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3316410*d**2. Let s(z) = 2*z. What is k(s(i))?\nAnswer: 13265640*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 5*f - 11*c + 255, 5*f + 275 = -5*c. Let p be -6*1\/4 + f\/(-4). What is the greatest common divisor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (19 + -11)*61496\/32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3984 times 0.04\nAnswer: 159.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p = -416270. Let i = 9476 - p. Let y = -118659 - i. What is y rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221*1*((-11)\/(-132) - 2733\/(-36))?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c**0)**(-29)\/((c\/c**9)\/((c*c\/c**8*c)\/c)*(c**(-2)*c)**(-6\/13)) assuming c is positive.\nAnswer: c**(-2619\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyjz. Give prob of picking 1 j and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/51)*l)\/(l**(-2)*l))\/(l**(4\/5)\/l*l*l\/(l**3*l)) assuming l is positive.\nAnswer: l**(1081\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 745981 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose 5*s - 10 = 0, z*c - 2 = -s - 0*s. Is c less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 0, -9*j + 7*j - 5*z = -1925980. Round j to the nearest ten thousand.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 3*r - 3. Let t be a(5). Let h be t\/(-45)*(-10)\/6. What is the third smallest value in h, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*d - 4*u, 49*u + 1 = -2*d + 50*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 4*k. Solve k = 2*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/5))\/((o**11*o)\/o))\/((o\/(o**1\/o)*o)\/(o**(-22)*o)) assuming o is positive.\nAnswer: o**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(50\/8))\/((-3)\/(-15)). Which is the nearest to m? (a) -1 (b) 1 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 16*i**2 - 1. Let y be p(1). Let z(m) = 8*m + 13. Let l be z(-1). Solve -l*b = -2*b - y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/57 - (-77355)\/57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4449 + 9?\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 2. Let r(a) = 5*a + 27. Give -4*b(d) - r(d).\nAnswer: -d - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143211330 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 23. Let g be q(10). Let b = 109 - 57. Calculate the highest common divisor of b and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:51 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 890\/356*2\/(-5). What is the closest to -0.1 in 0.3, -0.3, -34, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -0.02475.\nAnswer: 0.0017325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8275, 7597, 6933, 6289, 5671, 5085, 4537, 4033?\nAnswer: 3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/114520 and 115\/160328?\nAnswer: 801640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-93 - -84) + 2640\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 1301968*t**3 - 1301968*t**3 + 15*t**4 + 2*t in the form n*t**2 + m*t**3 + h*t + x*t**4 + d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -40385 - -3.547\nAnswer: -40381.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from ttettetete?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1. Let x(q) = -7*q + 5. Let m(s) = -5*p(s) - x(s). Let k(n) = 2*n**2. What is k(m(o))?\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 - 6*b + 4. Let r(h) = -3*h**2 + 40*h - 11. Let g be r(13). Let i be (((-24)\/(-5))\/g)\/(22\/55). Determine m(i).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 10*c - 55 + 165, i - 4 = 69*c - 68*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 171, 227, 281, 333?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -33. Let r(i) be the first derivative of 20*i**3 + 77*i - 9*i**x - 29*i + 14 + 64*i**2 - 29. Find h such that r(h) = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8 - (-15 - -9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10482 and 14.\nAnswer: 73374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*z*z*(z\/(z\/z**(-3\/13)))\/z*z*z**(3\/5)*z**9 assuming z is positive.\nAnswer: z**(5303\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - 55*t - 584 - t**3 + 1163 - 577 + 3*t**3 + 4*t**2 as y*t + f*t**4 + q*t**2 + h + l*t**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Let w(n) = -2*n**2 + 26. Let j(m) = m**2 - 12. Let o(b) = 13*j(b) + 6*w(b). Give f(o(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 10) + 7 - 1) + 5 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2115, 2124, 2141, 2166, 2199, 2240?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f. Let p(v) = -3*v**2 + 7*v. Let b be (-12)\/2*(-21)\/6. Let t(u) = b*s(u) + 6*p(u). Factor t(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 98. What is the nearest to t in -0.2, -5\/3, 1\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-2)\/4 - -19. Let v(t) = -4 - 6*t**2 + f + 10*t + 1. Let p(u) = u**2 - 2*u - 3. Let d(r) = 22*p(r) + 4*v(r). Factor d(o).\nAnswer: -2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 13. Suppose -x*y + 60 = -6*y. Is (-522)\/y + (-1)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 2*j**2 + 3*j + 1. Let w be (-39)\/65*(4 - -1). Let m(t) = -2*t**2 - 2*t - 1. What is w*m(d) - 2*r(d)?\nAnswer: -2*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168, 674, 1520, 2706?\n\"Answer: 170*g**2 - 4*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:27 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -8, -7?\n\"Answer: l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-1440)\/(-25))\/8)\/((-2)\/10). Let k = d - -39. Let h be 2\/46*(7 - (4 + 5)). Which is the closest to -2? (a) h (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18667537?\nAnswer: 7, 2666791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 7*r - 3. Let a be s(-8). Suppose 1409 + 259 = 4*d + 4*x, 3*d = -a*x + 1259. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2, 7*c + v = 5*c + 9. Suppose 0 = -c*b - b - 15. Let n(j) = -58*j**2 + 57*j**2 - 3*j - 3 + 4. Calculate n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722204.511 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2709265*u**2 - 6722766 wrt u.\nAnswer: 5418530*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -269025.\nAnswer: -269023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -211\/12, -1\/4, 7.19 in ascending order.\nAnswer: -211\/12, -1\/4, 2\/7, 7.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*z - 10*z**2 + 2*z - 5*z wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6715968 and 179968?\nAnswer: 993963264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11 = -7. Suppose 2*l + g = 4*l. Solve -l*p + 5 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 61. Give p(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/270*(-10)\/(-4)*4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2588 + 2807. What is the smallest common multiple of 264 and v?\nAnswer: 19272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 15*c**2 + 765*c - 8157. Calculate b(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 7. Let c be d(-6). Let n be -3 + (-3 - -2) + c. What is the units digit of n - (-2 + 0) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45340.\nAnswer: 2, 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 59. Suppose t = -6*u + 2*u + 8, j*t + u = 2. Solve t = -q + 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 - 2*x + 3. Let l be v(4). Suppose l*i = 7*i + 216. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 + 6125*c**3 + 142920*c**2 + 749520*c - 898560 = 0.\nAnswer: -12, 1, 1248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136.8 - 112. Let u = x - 26. Let g = -831 - -836. What is the biggest value in -2, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21204 divided by -12?\nAnswer: -1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -69*k + 35*k - 31*k - 2119 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 15) in base 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(720) + -2 - (-3 + sqrt(720) + 0 - sqrt(720))) + 0)**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - -37?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 301257467 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 14. Let s = -567 - -570. Solve 4*y = -4*f + 12, 0 = 3*y + 2*f + s - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 27\/(-15))\/((-810)\/(-900)). Let k = -0.54 - -0.29. Let v = -0.29 - k. What is the closest to 2\/3 in 3, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4560\/(-3510))\/38*((-234)\/(-4))\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 65*c - 50. Calculate n(24).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31232*d**6 - 38797*d**2 wrt d?\nAnswer: 3747840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 - 73*x + 20. Let l be k(18). Solve -3*c + l*d = c, 3*d + 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let o(h) = h**2 + 3*h - 2. Let t(x) = x - 1. Let s(l) = -o(l) + 3*t(l). Let i(a) = 2*a**2 + 2*a + 2. Calculate d*i(r) + s(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4820*l - 24089 = -426*l - 86185 - 37578 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -199017*a + 1. Calculate y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3807150 divided by 10\nAnswer: -380715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-134)\/(-6) + -2 - 2\/6. Let g = p + 18. Let v = -28 + g. What is the least common multiple of v and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*w**2 - 2 - 42*w - 2*w**2 + 13*w**2)*(0*w - 4*w + 2*w) as a + s*w**2 + l*w + n*w**3 and give s.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2158 + 3 - -8)\/((-1)\/(-1)). What is the second derivative of 2169*j**2 - 22*j - c*j**2 - 36*j**3 wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*q + 227, 3 = -4*b - 5. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9208 + -9205. Solve 4 = -4*w - 2*s + 6, -4*w - 3*s + h = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763929 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 23*n**5\/12 - n**4\/8 - n**3\/6 - 33*n**2. Is u(-1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 70*v + 72. What is q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*m**3 - 930*d*m**2 + 37*m**3 wrt m?\nAnswer: 6*d + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.48. Let f = o - -0.41. Let r = f - -0.01. Which is the third biggest value? (a) -3 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 73. Suppose 4*m - 13 = 3. Suppose m*a = -4*i - 15 - 1, d*a + 12 = -5*i. Is a at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*u + 52*u - 9207. Is u a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892025 is divided by 189150?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 32*h + 15*h)*(-11*h + 25*h - 8*h) - h**2 - 2*h**2 + 2*h**2.\nAnswer: -115*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) - (-2106)\/65. Is 5078\/8 - 8\/(l\/3) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 + 7*z - 36. What is the remainder when a(7) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 9 (b) 4 (c) 0.08 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28224 + 0.2668532. What is j rounded to 4 decimal places?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229.2548257 + -5.\nAnswer: 224.2548257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/(-8) + (-5)\/35*0 and -87\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1859260 - 918474777\/494. Let c = l - -15\/26. Is c at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liwswiwisw. Give prob of sequence il.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1 - 18 = 5*i, 4*v + 12 = -4*i. What is the second derivative of -a**2 - 6*a + a**2 + 5*a**v + 3*a wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Let n(r) = r**2 + 8*r - 9. Let w(u) = n(u) + 6*p(u). Let k = 77 - 36. Let b = 45 - k. Calculate w(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpw when three letters picked without replacement from wppppwp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -0.1. Suppose 66*z - 62*z = 40. Let s be -26*(-1)\/10 - z\/5. Which is the biggest value? (a) g (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11.89. Let g = r - 1.19. What is g rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -21*y**5 - 10*y. Let c(b) = 64*b**5 + 30*b. Let d(k) = 3*c(k) + 10*f(k). What is the second derivative of d(r) wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116932 and 10?\nAnswer: 584660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4187595, 4187609, 4187623, 4187637, 4187651, 4187665?\n\"Answer: 14*y + 4187581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + 1 + (322 - 343)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/84*(-5)\/2*(-16)\/20.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*h + 127*h - 63*h + 6*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 84. Let w(x) be the second derivative of 2*x + 0*x**4 + 0*x**5 + 1\/30*x**6 + 0 + 0*x**2 + 1\/3*x**s. What is the second derivative of w(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -16*z + 9*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 2*l**2 - 20*l + 0*l**3 + 3*l**3 + 3*l**2 + 1465.\nAnswer: 3*l**3 + l**2 - 20*l + 1465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/22)*((n*((n**(1\/6)\/n)\/n)\/n)\/n)\/n)\/((n\/(n**(-19)*n)*n)\/n*n\/n**(-12)*n) assuming n is positive.\nAnswer: n**(-1217\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3429 divided by -6?\nAnswer: -1143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17 - 30 - 174*r**3 + 13 + 9*r**2 + 7*r**2 wrt r.\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j**2 - 4*j + 9. Let q be c(2). Let t = q + 10. Let b = 116 - t. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0056 to two decimal places.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from uniupup?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 61. Let u(j) = 2*j - 1. Let x be u(-2). Put x, -4, i in increasing order.\nAnswer: x, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x - 49*x - 6915 = 0. Is (x\/(-5))\/(((-120)\/(-50))\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -34*l. Let z(x) be the first derivative of 65*x**3\/3 - 2196. Determine h(z(b)).\nAnswer: -2210*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*h + 54 = 0, -2*h - 13 = p + 26. Let o = -23 - p. Let b = 11 - o. Solve 3*c + 14 = -2*v, 4*v + b + 5 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u + 105 + 49 = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966 + 162 + 96 + 7*q**3.\nAnswer: 7*q**3 - 708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242880 is divided by 1135?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -887 + 1098 - 2*v**2 + 1244 in the form p*v + m*v**2 + z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 912725382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38614671.02 rounded to the nearest ten thousand?\nAnswer: 38610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22754 - 22747. Solve -5*r - 46*b + 44*b = -s, -4*r = -4*b + 28 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72418 divided by 72418?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72904*u**4 + 3*u**2 - 29408*u.\nAnswer: 1749696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.9861 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 14. Let u = -268 - -267. Let q = u + -1. Which is the third biggest value? (a) -1 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22838 (base 9) to base 6\nAnswer: -154355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 681.9481 to the nearest integer.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 1. Let l(k) be the second derivative of k**3\/2 - 14*k. Calculate 2*d(g) + l(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -30. Let w(o) = 36*o - 259. Let i be w(7). Calculate the smallest common multiple of 6*((-22)\/(-3) + i) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1739 - 1702. Calculate the remainder when 460 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f + 1. Let j(y) = 0*y - 15 - 5*y**2 - y**3 + 68 + 2*y - 26 - 22. Determine 2*j(l) - 10*z(l).\nAnswer: -2*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449474347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 2 = -2*b - 11*j, b + 4*j = 1. Solve -25 = -5*s - 3*c, 0*c = 2*s - c + b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(9)\/sqrt(3) + sqrt(3))**2 + -2) - ((0 + sqrt(75) - 4*sqrt(27)) + 0)**2.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 8232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1152144)\/280)\/((-6)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2820045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*u**2 + 16*u**2 + 6 + 17*u**2 + u in the form n*u**2 + c + x*u and give n.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*h + 1 + 12*h - 14*h)*(-4 + 3 + 0 + (2 + 3 - 4)*(2 + 2 - 5) + 2 - 1 - 3) to c*h + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1366 + -435. What is the highest common divisor of z and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*l - 4*p - p, 3*p = -4*l + 40. Suppose 8*z = l*z + 47. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**3*z**2 + 426*u**3*z - 2*u**2*z**2 - 2476*u*z**2 wrt u?\nAnswer: -18*z**2 + 2556*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*n**2*o**4 - 2*n**2*o**2 + n**2 + 454*n*o**3 - 16*n*o**2 + 23*n*o + 31*o**3 + 197*o**2 wrt o.\nAnswer: 3672*n**2*o + 2724*n + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, z: 7}. Give prob of picking 3 u and 1 z.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-6 - -1)) + -7 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 80 = 4*x. What is the hundreds digit of ((-320)\/(-3))\/(x - 49\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 174\/12)\/((-2)\/(-12)). Put -4, i, 1, -1 in descending order.\nAnswer: i, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 0.8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/5, -174, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, l: 11, x: 1, y: 3}. What is prob of picking 2 l?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4 + 0*z + z + z - 3*z. Let o be q(-10). Solve 4*k = -o + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -466, -429, -344, -193, 42?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 271.93 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 32*y + 27*y + 3142 = 0, -5*y + 25 = 0. Which is bigger: -3120 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/49 - (-16)\/7. Let k(h) be the first derivative of h - 1\/2*h**a - 1. Determine k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(-7) - (-4733820)\/1274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 8*r**2 + 760*r + 194. Calculate n(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116749613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10 - 2*u - 15*u**2 + 17*u - u**3 + 0*u**3. What is the units digit of c(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(2*(1 + (sqrt(891) - (sqrt(891) + -5 + (sqrt(891) - -1*sqrt(891))))))**2.\nAnswer: -86401 + 5184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let t(q) = -q**2 - 4*q + 4. Let p be t(v). Suppose -p = 3*g - 2*f - 22, 3*f + 20 = 4*g. Solve 5*r - 14 = -g*h - 44, -4*r = -h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1524\/275 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*b + 8, -4*m - 4*b = -0*m + 16. Let o(f) = -f + m*f + 0*f. Let d(w) = -8*w**2 + 1 - 1. Calculate d(o(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30797130 divided by -2199795.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q + 1. Let l(v) = 4*v + 4. Let c(y) be the first derivative of 3*y**2\/2 + 3*y + 5. Give q*c(i) - 2*l(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13336 + 7217 = 51*k. Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 14 (c) -243227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 - 7*i**2 + 33*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1*(4\/2)\/10)\/((-35144)\/(-45840))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 40. Let d be h(10). Suppose -12 = 4*p - d*p. Suppose p = -10*c + 32. What is the highest common factor of c and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-33) + 2\/(-1). Let v = 4.6 + -5. Let n = 1\/164 - -409\/164. Which is the second smallest value? (a) j (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 37 - 41 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = 5. Let t be (s\/(-3))\/((-1)\/9). Suppose 164 = t*v + v. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - 3*u + 12. Let i(a) = -11*a**2 + 8*a - 35. Let s(n) = 46*n - 314. Let f be s(7). Calculate f*h(x) + 3*i(x).\nAnswer: -x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2764524 and 984?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*l - 3*i - 5872692, -3*l - i = -8809049. Let d be (94\/(-6))\/((-3)\/l). Let m = d - 7334267. Round m to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 39. Suppose -v + 2*m + 20 = 0, -9*v + 8*v = 5*m - 13. Calculate the remainder when j is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + v + 61, -v - 27 = 5*l - 134. Suppose 10*a + 19 = -l. Put 3, a, 2 in increasing order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72609 is divided by 140.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f + 144. Give g(14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-40)*15\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + a = 0, 0 = -3*s - s - 5*a. Is 0 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 6*b**2 - 10*b**2 + 39*b**2 - 17*b**2 - 17*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 <= -444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 8*p + 5. Let d be u(8). Let y(w) = -5*w**2 + 2*w**2 - 1 + w**3 + d + w - 5. Determine y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7977351.\nAnswer: 3, 373, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -61455406 and -61455409 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -42. Find the third derivative of 7*j**5 - 25*j**b + 2*j**2 + 31*j**2 + 8*j**5 wrt j.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l - 5*l)*(2*l**3 + 1528*l**2 - 767*l**2 - 762*l**2) to the form y*l**4 + r + b*l**3 + n*l + w*l**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 - 2*t + 1. Does 10 divide b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2935*-14\nAnswer: 4.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 42 = 4*w. Solve 2*x + w = -0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-6170)\/550 - 18\/99) + (-264)\/(-66)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(143)\/(sqrt(33)\/sqrt(3)))**2 + sqrt(13) + 3)*-4.\nAnswer: -64 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 36 = -b, 4*z + z + 33 = 2*b. Suppose -q = -5*j + b, 4*j + 5*q - 25 = -0*q. Solve 2*t + n - 7 = 0, 5*n + 18 + 7 = j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 10. Let i(k) = -5*k**2 + 60. Let l(p) = i(p) + 6*j(p). Let b(g) = 29*g. What is b(l(d))?\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -444386\/235 + 1891. Which is greater: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 3*m - 35. Let d(x) = x**2 + 2*x + 36. Let v(u) = -3*d(u) - 2*j(u). List the prime factors of v(-20).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-25) + (-17)\/(-15). Sort o, -2, 1\/12 in descending order.\nAnswer: o, 1\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 4)*(-1348*k + 1642*k + 872*k) in the form h*k + y and give h.\nAnswer: 9328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/307168 <= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66081007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*b - 10*b**2 - 650*b**3 - 4*b**4 + 648*b**3 - 41*b - 31*b**2 to q*b + n*b**3 + m*b**4 + y*b**2 + p and give y.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**9\/c*c*(c\/(c**(2\/17)*c)*c)\/c*c*c**6*c*c*(c**(-6)\/c)\/c)**(-5) assuming c is positive.\nAnswer: c**(-925\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 26*i + 34. Let r be z(-26). Let o = r + 1250. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b4 - 1b26b?\nAnswer: -1ac97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*m = 1, 0*m = 5*j - 2*m + 29. Let y = j + 3. Which is smaller: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/12 - j. Let t(g) = 0*g + 0*g + g. Calculate t(f(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 12*p - 9*p. Suppose -x + o - 64 = -8, x - p*o = -66. What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-42) + 19\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-65)\/(-30) - 0 - 7\/42. Factor 2*x**q + 4\/3*x + 0.\nAnswer: 2*x*(3*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554555 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/3 at most -8.10154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Let f(z) = -z**2 - 3*z + 28. Let m be f(4). Solve p*s = -5*a - 0*s - 30, m = 4*a - 3*s + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96 take away -0.29563455?\nAnswer: 3.25563455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2945 (base 12) in base 7?\nAnswer: -20003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -592437?\nAnswer: 32\/592437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145633 is divided by 36324?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:17 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1631 divide 11165826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.9, -0.02, -49\/6, 0, 3 in decreasing order.\nAnswer: 3, 0.9, 0, -0.02, -2, -49\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233864.\nAnswer: 2, 23, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 19*v - 16. Does 9 divide b(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 2452.76 (c) 0.7 (d) 0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(0 + 3 - 1)*(3846 - 102*h - 1864 - 1842) in the form z + m*h and give m.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 3*i**4\/4 + i**3\/6 - 9*i**2. What is the first derivative of d(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2796 and 84?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - f**2 + 4*f + 3. Let a(p) = 4*p**3 + 3*p**2 - 9*p - 7. Let j(d) = -4*a(d) - 9*h(d). Find v such that j(v) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/10059 and 55\/4311.\nAnswer: 30177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13976593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10509584*x**3*z**2 + x**2*z**2 + 2*x**2 - 2*x*z**2 - 2*x - 2*z**2 + 387268*z wrt x.\nAnswer: -63057504*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*l - 0*n - 12, l + 3*n = 3. Let k be (-7)\/(-28)*8\/l. Let u be 32\/14 - (-2)\/(-7). Does k = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1466, 2924, 4380, 5834?\nAnswer: 7286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -52, -105, -196, -337?\n\"Answer: -2*y**3 - y**2 - 10*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 4. Let j be z(-4). Let q = 53962 - 53962. Solve q*o + 8*o = j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.058, 0.3, -0.118, -7\/2?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/5 (b) -3 (c) 1035 (d) -0.5 (e) -25.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134c (base 14) to base 8.\nAnswer: -6510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 - 2012 = -5*h. Suppose -s + 101 = d, -5*s + d = -2*d - h. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Let v(l) = l**2 + l. Let g be v(1). Let c be (1\/5)\/(5 + (-144)\/30). Let r(p) = -24*p**g + 20*p**2 + c - 1. Calculate r(f(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 168. Let m = -46 - c. Let h = m - 4.9. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117) + -4 + (sqrt(117) + 1)*-4 - (-3 + 0 + sqrt(117) + 1))**2 + -2)*-5.\nAnswer: -21230 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2572237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 7*b**2 - 5*b - 2. Suppose 0 = 5*d - 10*d + 35. Calculate the remainder when d is divided by h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-377)\/2067)\/(-29))\/(-2*3\/(-36))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*z + 41012 = -42735, 4*w + 5*z - 334943 = 0. List the prime factors of w.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9*(-154)\/189).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + -39. Let l = -74 - b. Suppose -h - f = h - 11, -5*f = 3*h - 27. Put h, l, -5 in descending order.\nAnswer: h, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 3*k + 0*k. Let c(f) be the third derivative of f**4\/12 + 5*f**2. Give c(g(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 70\/3, -54, 0.1, 2, 0 in ascending order.\nAnswer: -54, 0, 0.1, 3\/2, 2, 70\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 384*v - 1581. Let r be l(5). What is the fourth biggest value in 1, 2\/19, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - 1. Calculate the remainder when 44 is divided by f(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + -1021212?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -1 - 5. Let b be (-3)\/(-9)*(u + 10). What is the second derivative of -18*k**5 + 10*k**5 - 8*k**5 - b*k wrt k?\nAnswer: -320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419 is divided by 803?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiiuuuuuuuuu. Give prob of sequence uu.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.7109 + -0.2891. What is the closest to -2\/69 in r, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(225)\/sqrt(5))**2*3.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729205501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -311225*f + 148533*f - 678352*f - 15625*f + 7. Let a be o(3). What is a rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82840 is divided by 10355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7 + 8. Suppose b*s = 1 + 19. Suppose -88 = -4*v + 2*g, 3*v + 2*g - s*g = 67. 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: Which is the smallest value? (a) 0.02 (b) 4 (c) -1700.41 (d) 0.1 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 6)*-5 + -5. Suppose 15 = -2*k - 3*k. Put 1, k, a in increasing order.\nAnswer: k, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 5*o + 14. Let k be h(6). Let r be k*((-12)\/2 - -7). What is the highest common divisor of r and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61709.78ug?\nAnswer: 61709780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 473 from 225.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 173800044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 4*g**2 - 2*g - 1. Let s be c(2). Let k = -135 + 72. Let p be -2*3\/24 - k\/12. Solve s*f = f - u + 5, p = 4*f + u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -211. Let l be ((-8)\/(-6))\/((-2)\/(-6)). Suppose f = 2*f + 4*r - 6, 0 = -4*f + l*r + n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 9900*r - 88776.\nAnswer: -4*(r + 9)*(r + 2466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -183000000 rounded to the nearest 1000000?\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -21*m + 70. What is the remainder when 717 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -2*p. What is the units digit of (-1)\/(-4) + -499*p\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) -15 (b) -0.2 (c) -1759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 + 9 + p**2 - 14*p - 9 + 12. Let u be d(13). Solve -o = u, 0*b = -3*b - 3*o - 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8938 + 646575?\nAnswer: 637637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 59 + (2 - 1) - (23 + -21)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.281 and 0.05014?\nAnswer: 0.33114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*m**4 - 32*m**3 + 8*m**2 + 87*m - 4680145?\nAnswer: 24*m**3 - 96*m**2 + 16*m + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674021834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 9*c - 4. Let x(u) = 6*u**2 + 45*u - 20. Let k(p) = -11*o(p) + 2*x(p). Let f be k(9). Suppose 4*j - 52 = -n, 67 = f*j - 5*n - 9. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 3\/880, 2 in decreasing order.\nAnswer: 2, 2\/3, 3\/880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 48\/5, 0.092?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uubb when four letters picked without replacement from {b: 9, u: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.2, -0.4, -23, -6\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/((-31)\/(-217)*(-35)\/100) - 40.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c, 4*f + 2*c = 3*f + 36. Suppose 26 = f*q - 24*q. Suppose -3*b + 10 = 1. Calculate the remainder when q is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - t + 184 = 169, 22*q + 3*t - 141 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 471554 + -3300876\/7. Suppose 24\/7 - 1\/7*n**2 - y*n = 0. What is n?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 23, 52, 99, 170, 271, 408, 587?\n\"Answer: i**3 + 10*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a meter in millimeters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162533 + -1492.51.\nAnswer: 161040.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1520, 3261, 5002, 6743, 8484?\n\"Answer: 1741*i - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129744 by 4.\nAnswer: 32436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, m: 5}. What is prob of picking 4 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -893401614 divided by -294?\nAnswer: 3038781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162173*y**2 + 54738*y wrt y?\nAnswer: 324346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1243357 + 1243357 + 5238*c in the form k*c + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/7 - (-3 + 4). Let q be (-1*21)\/((-69)\/(-92)). Let i = q + 27. What is the closest to i in -1, r, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366268 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -845571 - -1?\nAnswer: -845570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/71652 or -1?\nAnswer: 1\/71652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -68, -69, -32, 55, 204, 427, 736?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z**2 - 8*z - 4. Let p be g(-3). Suppose 0 = n - 3*v - 15, 4*n + 2*v = 44 + p. What is the least common multiple of n and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21643.5 to the nearest one hundred.\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2\/17*m**3 - 44\/17*m + 0 - 46\/17*m**2 = 0.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16810118 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/156)\/(27\/(-18)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 2, o: 1, y: 1, q: 1, m: 2}. What is prob of picking 1 q and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*n + 3 = 2*n, -2*m + 12 = -4*n. Suppose 0 = -5*p + 4*z + 27, -4*p = -p - 2*z - 15. Which is the smallest value? (a) 2 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18832*i - 1205174. Determine w(-64).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/30)\/(36\/15 - 2). Solve 18 + k**3 - 6 + 2*k**3 - 4*k**l - 5*k**2 = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 - 2*z**2)*(1404*z**2 - 99*z**2 - 179*z**2).\nAnswer: -1126*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + 31?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -21\/4*g**3 + 4*g**2 + 0 + 9\/4*g**4 - g = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.398332 nanometers to millimeters.\nAnswer: 0.000006398332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*50*1 - -1. Let m = 182 - s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -69. Suppose f = -2*f - i + c, -2*i - 82 = -4*f. Let b = -900 + 906. Calculate the remainder when f is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1240*g + 3677*g - 1212*g - 1230*g. Let k(s) = -3*s**2 - 2*s**2 + 0*s**2. What is y(k(i))?\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1623697173.83609 - 0.07\nAnswer: -1623697173.90609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:38 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 0, 5*x - 5*p - 1 = 7*x. Suppose 2*d + 5 = 1. Sort x, -4, d.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwhhnwwwwwzhhswnshwh. What is prob of sequence nk?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256440 - 126*y**2 - 392*y + 1799*y - 254910 - 3*y**3.\nAnswer: -3*(y - 10)*(y + 1)*(y + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 48, 55, 62, 69?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 610958104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -16*k + 1761. List the prime factors of r(-8).\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1526 (base 8) to base 5.\nAnswer: 11404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56335472 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10.9 - -48294\nAnswer: 48283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700037 is divided by 1889?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/134 + -69\/268. Sort -1\/13, l, 5.\nAnswer: l, -1\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*k - 18, 1940*k = 1941*k + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1169556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70 - 3653?\nAnswer: -36c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86, -237, -432, -671?\n\"Answer: -22*a**2 - 85*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*u + 13 = -2*u, 10 = -2*u. Let s = 11 - m. Let d(l) = 8 + l**2 - 5*l**2 - s. Let j(y) = 3*y. What is d(j(q))?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -119*6 - (165 + -155). Which is smaller: g or -721?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2. Let q be r(1). Let j be (-4)\/(-10)*15\/3. Suppose 0 = 5*f - j*f. Solve -8 = q*y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3319*i - 713*i - 62544 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 325 + 225. Let w be (-2 + -2)*6\/(-8). Suppose w*g + 2*g = m. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) -5 (d) 0.149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 divided by 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15574308 is divided by 2224901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*h - 39*h - 17*h in the form o*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -63. Let c(l) = 9 - p - 10*l + l**2 + 16. What is the tens digit of c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 20*a**2 + 154*a - 8. Calculate s(-26).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1.1. Let m = 8 - 4. Suppose 0 = m*j - v + 8, 3*j - 4*v - 6 = -25. Which is the nearest to j? (a) 2\/13 (b) y (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - s = 6, 21*s - 26*s - 15 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.253 - 171.747. Let h = 171.999862 + y. What is h rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - (70 + -120 - 24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(2\/29)*u*u**(2\/15)*u**6)\/((u\/u**1)\/((u\/u**2)\/u)*(u*u**(-6)*u*u)\/u**(1\/9)) assuming u is positive.\nAnswer: u**(10714\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71610 and 3696?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23311639 is divided by 137?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 68. Which is greater: 25 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27920000 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12065*u**3 - 132685*u**2 + 289230*u + 720 = 0 for u.\nAnswer: -6\/2413, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7331.\nAnswer: 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 9) to base 14.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:32 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s. Let k(u) = -2*u + 19 - 19. Determine f(k(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2410 = 4*k, -76*k + 80*k - 4792 = -2*l. What is the least common multiple of l and 1588?\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1068*a - 147*a**2 - 1068*a)*(0*a - a + 5*a)*(-65*a + 5 + 62*a + 9) + 2*a**2 + a**4 - 2*a**2 to u + z*a**3 + r*a**4 + g*a + b*a**2 and give z.\nAnswer: -8232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -17. Factor -33*j**5 - 30*j**m + 35*j**5 + 12*j**3.\nAnswer: 2*j**3*(j - 3)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 2. Let z(t) = -t + t**r + 6*t - 2*t - 6. Let j be z(-5). Solve -2*m + 4*h + 17 = -3*m, 0 = j*m + 2*h + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337.9 - -355. Let j = z - 16.6. Which is the second smallest value? (a) -6 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 207 = 51. Let m be -1*(7 - 1) + (27 - 26) + -82. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.003, 1, -3\/4, 5648, 5 in increasing order.\nAnswer: -3\/4, -1\/5, 0.003, 1, 5, 5648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16683.07 and 5.\nAnswer: 83415.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-5)\/(-5)) - -4. Suppose d*i + a - 180 = -2*a, i - 5*a - 30 = 0. Suppose -35 = -3*r + i. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -17, -29, -39?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338712 divided by 8.\nAnswer: -42339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1832 + -1831. Which is the third biggest value? (a) -2\/7 (b) w (c) 0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let o(g) = 8*g + g**3 - 5 + 15*g**2 - 4*g**2 - 1. Let h be o(-10). Suppose k + 12 - h = 0. What is d(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*q = -267*q + 9234 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1\/50*u**5 + 0 + 0*u + 1\/300*u**6 + 0*u**3 + 1\/30*u**4 - 9*u**2. Suppose p(s) = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -14*m**3 - 30950*m**2 - 543792*m + 157896 = 0.\nAnswer: -2193, -18, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2) + 1\/3. Let w = -1.48 - -2.5. Let y = w + -0.02. Sort y, l, 4 in descending order.\nAnswer: 4, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**19*(x**(-30)\/x)\/x*x**(-3\/2)\/x**(-4\/23) assuming x is positive.\nAnswer: x**(-659\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186.38*-3.\nAnswer: 559.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -74931\nAnswer: -1\/74931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -9. Suppose 3*h + 0 = x + 4, 0 = h + 3*x + j. Let b be (h + 14)\/((-5)\/(-15)). Calculate the highest common divisor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -1\/168*w**7 - 2*w + 0 + 0*w**3 + 1\/48*w**4 - 3\/80*w**5 + 0*w**2 + 1\/40*w**6. Factor n(i).\nAnswer: -i**2*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -36.46.\nAnswer: -35.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-96)\/18 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*h + 5*x + 53, h - 2*x - 25 = 0. Calculate the remainder when h is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96189 by 32063.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 334, 225, 118, 13, -90?\n\"Answer: r**2 - 112*r + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1cc36c28 - 0?\nAnswer: 1cc36c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 36 + 5*z - 215 + 439 as v + s*z**2 + h*z**3 + j*z and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee + -11?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 193.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**28*q)*q**19\/q assuming q is positive.\nAnswer: q**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*(518\/(-35))\/(12\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r**3 + 2*r**2 + 8*r + 44. Let b(k) = -k**2 - 18*k - 20. Let y be b(-17). What are the prime factors of o(y)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 154\/30 - 166\/1245. Suppose 3*f - 1 = 3*p - 13, 4*f = 2*p. Suppose p + 12 = s*j. Solve 3*y - j*y - 4*h = -4, 3*y = -5*h - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 3. Let h be a(-9). What is the common denominator of 906\/360 + 2\/5 and 9\/h*2\/(-36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**4 - 5*x**3 - 5*x - 13. Let a(c) = 2 + 4*c**3 - 2*c**3 - 2 + 6 + 2*c - 5*c**4. Let t(i) = 5*a(i) + 2*w(i). What is the derivative of t(z) wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m. Let w(r) be the first derivative of 12 - 19*r**2 + 21*r**2 + 12. Determine w(d(y)).\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87651, -175291, -262931?\nAnswer: -350571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 90 = -10*q - 11*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024445543 rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**3\/5 + 288*d**2\/5 + 4608*d\/5 + 24576\/5.\nAnswer: 6*(d + 16)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/35 and -61\/833845?\nAnswer: 5836915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-68)*(-8)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349 - 346. Solve 7 = -w - 4*v, -5*v - 6 = w + l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14973 + 22457. Is r smaller than 7484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 1168?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/46242?\nAnswer: -5\/46242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 41c?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.003 - 68.47. Round v to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let g = 313 - 313. Do t and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -366 (b) -73\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6354 - -9680. What are the prime factors of i?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/3*(-18)\/(-54).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 22 + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204298182 + 204298225.0000038. Let a = 654 + -611. Let c = a - s. What is c rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -445\/3 - -150. Let u = -23\/21 + f. Factor u*n + 0 + 2\/7*n**3 + 6\/7*n**2.\nAnswer: 2*n*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -13*j**4\/24 - 137*j**3\/6 - 78*j**2. What is the remainder when 32 is divided by h(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -391*c**2 - 1193*c - 74. Give s(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74090 divided by -2?\nAnswer: -37045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-284)\/(-14) + 12\/(-42). Suppose 14 = b + 4*i - d, 55 = 2*b - 5*i. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3393747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 187704 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42 + -3 + 1)*(-120)\/(-32). Let t = -98 - u. Suppose -5*k = -5*c + 110, 0 = -c + 4*c - 2*k - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 606*w**3 - 12*w**2 + 61*w - 78. What is the units digit of z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - w + 14*w + 3*w + 2.\nAnswer: 16*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2878299*u - 4788 = 2878375*u for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 4, x: 1, q: 1, j: 1, g: 3}. What is prob of sequence ff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2. Let q(s) be the first derivative of -463*s**3\/3 + 1612. Determine g(q(r)).\nAnswer: 857476*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -571038, -570964, -570890, -570816, -570742, -570668?\nAnswer: -570594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -86\/303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -34 - 16. Suppose 0 = 3*f - 0*v - 3*v - 207, -4*v + 114 = 2*f. Is 230\/(m\/f - (-56)\/26) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - h - 2 + (4 - 3 + 0)*(0*h + 4*h + 5*h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/3 - 1. Let m(p) = -5*p**2 + 4. Let t(y) = y**2 - 1. Let w(q) = -m(q) - 4*t(q). Give w(o(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 2*x - 151 + 210 - 78. Suppose 3 = -2*q - 17. What are the prime factors of o(q)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200296, -801385, -1803260, -3205921, -5009368, -7213601, -9818620?\nAnswer: -12824425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 108?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2624)\/(-820)*((-1)\/(-10))\/(38\/475)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 65*y - 968. Suppose 0 = -c - 2*v + 11, -2*c - 40*v = -35*v - 20. Give f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1502.80006151 + 1502.8. Round t to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 11:11 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*j - 27 + 9 = 0, -28 = 2*i - 2*j. Let z be (-2 + 33 + 3)*(-5)\/i. Factor -z*l**2 - 59*l**2 + 8*l**4 + 162*l + 22*l**3 - 108 - 10*l**4 - 14*l**2.\nAnswer: -2*(l - 3)**3*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13 and -25\/2388593?\nAnswer: 2388593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w + 61639288 = 61642360 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.367 + 207.357. Let u = 176 - d. Round u to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (605*l - 1557*l + 793*l)*(0 + 2 + 0)*(2 + 1 - 1).\nAnswer: -636*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 1, 24037, 3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - 2) + 3 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -2*j, 3*j = -4*t + 279. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5606601*f**2*v**2 + 39*f*v**2 + 9*f*v - 89*f + v**2 - 2 wrt f.\nAnswer: -11213202*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21 - 62*f**3 - 40 + 130 + 698*f**3 with respect to f.\nAnswer: 1908*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - 6\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let v(a) = 2*a**2 - a - 40. Let x be v(5). Differentiate i*t + x - 5*t - t with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0 + 0*n**3 + 5*n**2 + 5\/24*n**4 + 0*n + 1\/20*n**5. Find the second derivative of v(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 - v**3 - v**2 - 3*v + 2. Let w be u(-3). Suppose w*b - 510 - 585 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9093)\/(-6))\/(-7)*4. Let a = -535 - p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 806 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22682 and 172.\nAnswer: 1950652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 - 3*n**3 + 0*n**3)*(n + 3*n + 0*n) - 2*n**4 + 4*n**4 - 4*n**4.\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 222, 225, 6, -567, -1626, -3303?\nAnswer: -5730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*x - 315*h + 318*h, -4*h - 16 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/4)\/(-11)*(-25)\/(-5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 23*s**2 + 370. Let d(l) be the first derivative of l**2\/2 + 2. What is d(k(h))?\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 6)*(-2)\/(-4). Suppose 0*t - 30 = j*t. Is (-28)\/(-8) + (-9)\/t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6621 is divided by 1080?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*l + 27 = -4, 0 = -5*q + 3*l + 45. Solve -q + 14 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78785 is divided by 19687?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose -c*d + 18 = -r - 12, 2*d = 4*r + 30. Solve 0*w - d = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 37. Let d(o) be the first derivative of -1 + 1\/3*o**p - 4\/3*o + 2\/9*o**3. Factor d(z).\nAnswer: 2*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 2. Let o(h) = h + 16. Let l be o(0). Let r be 6\/(-4)*l\/12. Let s be w(r). Which is bigger: s or 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1890 and -131\/69660?\nAnswer: 487620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (3 - (-8 - -19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -4.9. Let h = -33.2 - -33. What is the second biggest value in h, m, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -131874*l + 2901176. Give v(22).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 116*m - 2339284 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94040 - 17.09\nAnswer: -94057.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40987 is divided by 237.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/6)\/(p**(-13)\/p)*(p**(-3\/4))**(-34) assuming p is positive.\nAnswer: p**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 9. Let q(y) = 3*y + 16. Let l be q(-7). Let j be x(l). Is ((-10)\/(-1))\/(j\/(-2)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101 (base 2) in base 16?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from fujfpputppu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1239986 divided by -2\nAnswer: -619993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 1)*(135*q + 4 - 15*q - 3) to r*q + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - 9\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 - (3 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/272 and 67\/816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231 is divided by 2225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 531632 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -634*n**2 + 1718*n**2 + 2317*n**2 in the form c + p*n + t*n**2 and give t.\nAnswer: 3401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/120 + s**5\/15 - s**4\/4 - s**3 - 58*s**2. Determine q(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40.8 - 40.80004743. What is l rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 386*l**2 + 8*l - 30. Let n be u(4). Find the third derivative of -n*q - 175*q**2 + 6178*q + 59*q**3 wrt q.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4732)\/546*-3*(3\/(-3))\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 17 = 3*w, 912*r + 2*w - 126 = 444*r + 433*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 879933017 to the nearest ten thousand.\nAnswer: 879930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-28*c + 10*c - 17*c)*(1 - c - 1 + (6*c - 8*c - 5*c)*(1 + 2 - 1)).\nAnswer: 525*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.082252 decades?\nAnswer: 0.02082252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 1161*w**3 + 127269*w**2 - 4287567*w.\nAnswer: 3*w*(w - 229)*(w - 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.30057982 to three dps.\nAnswer: -2.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*r - 46 = 156*r - 4*u, 9*r = 5*u + 34 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 169036 (b) -11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, b: 8, h: 5, y: 2}. What is prob of sequence whw?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/120 + 17*w**5\/60 + w**4\/6 - 34*w**3\/3 - 3250*w**2. Factor q(i).\nAnswer: -(i - 17)*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = -2*r. Let v(m) = -m**3 + m**2 - 1. Let y be v(1). Let f = r - y. Put f, 0.1, -5 in descending order.\nAnswer: 0.1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 115 - 49)*(-3*m + 2 - 2) to f + i*m and give i.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 948 - 784 + 3062 = 0 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7460 - 4026. What are the prime factors of q?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**3 + x**3 + 0*x**3)*(-9*x + 2 - 2) - 22*x + 22*x - x**4 - 13*x**3 as u*x**2 + r + f*x**4 + c*x + k*x**3 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358 and 1552?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let s(u) = 3*u - 2. Let l be s(d). Let -2*a**l + 2*a - 2*a**3 - 3*a + 3*a + 2*a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -8253?\nAnswer: -1320.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*l - 14, 2*g = l - 3 + 1. Suppose -3*m + 5*m - 174 = 0. Let p = -90 + m. Which is greater: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00244669 rounded to six decimal places?\nAnswer: 0.002447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 259840000 to the nearest 1000000.\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956738379 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51830 + -7977. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i - 5*n + 30 = 0, -4*n - 12 = -2*i. Let z be (-21)\/i*12\/(-21). Let f = 0 + z. Solve f*h = s + 5, 6*h - h = -5*s + 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110\/63 - -17\/9. Let n = 940128 - 19749557\/21. Let b = 327 + n. Sort x, 2\/7, b in decreasing order.\nAnswer: 2\/7, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -66, -107, -166, -249, -362, -511?\n\"Answer: -a**3 - 22*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*sqrt(77) - sqrt(77))*2)\/sqrt(7) - 2*(0 + sqrt(1331)))**2.\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 36 = 4*i - 265, -5*i + 773 = 13*n - 170 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95\/7 - 14. Which is the biggest value? (a) o (b) -4 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267 * 180199\nAnswer: 48113133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let l be s(-1). Suppose -l*k + 29 = -29. Suppose 2*o = -a + k, 3*a + 12 = o + 4*a. What is the greatest common factor of 187 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)\/(4*(sqrt(11) + sqrt(396)))*-4)\/(-4*(1*sqrt(252) + sqrt(252) + (sqrt(7) - sqrt(112)*-4))).\nAnswer: sqrt(7)\/812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 1601262?\nAnswer: 1601262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -248, -282, -344, -446, -600, -818, -1112?\n\"Answer: -2*z**3 - 2*z**2 - 14*z - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j**2 - 25*j**2 - 22*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8930\/(-30))\/((-2)\/18). Let f = m - 1638. Suppose -f - 768 = -5*y + g, -2*y - 4*g + 728 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -355*k + 531.\nAnswer: -355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617e5 (base 16) in base 4?\nAnswer: 1201133211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25486, 101991, 229492, 407989, 637482, 917971, 1249456?\n\"Answer: 25498*n**2 + 11*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122989a + -4?\nAnswer: -12298a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 2*w - 3 - 1 + w. Let o be c(5). Let u(j) = -85*j + 162*j - 78*j - j**3. Let v(b) = -4*b**3 + b**2 - 6*b. What is o*v(n) - 6*u(n)?\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 23.7. Let o = l + -1.4. Let u = 0.2 + -0.3. What is the nearest to o in -4, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = v + 4*i, -3*i + 2 = 3*v - 7*i. Let o(x) = -v + 8 + 6*x - x**3 + x + 5*x**2 - 2*x. What is o(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6226 + 449*h**2 + 13993 - 7767.\nAnswer: 449*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 420 = 21*v. What is the remainder when 64 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -804, -802, -802, -804, -808, -814?\n\"Answer: -b**2 + 5*b - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486331 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6*2)\/(1 - -1). Suppose -3*o + 0*o + n = 0. Suppose x + 5 = o*x. Solve -3*m - 15 = -5*q, -q + 0*q = -m - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 13*r - 2. Let g be h(-11). Let l = 36 - g. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5111 and 94957.\nAnswer: 1804183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**4 + 2*k**2)*(-23 - 14 + 79) + k**4 - 5*k**4 - 8*k**4 + k**4 - 1 + 1.\nAnswer: 31*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-30) + -2 + -3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109.9 + -3.1. Let c = t + 112.999999795. Round c to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhpypphpffffhpphhpp. Give prob of sequence pfh.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*p = 10, -3*f - p + 3*p = 2. Solve 22*i - f = 20*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*f - f - 13, -25 = -5*f. Suppose -5*h = q + z - 42, q - 3 = 0. Suppose -3*i = -6*i + h*s + 4, 20 = 5*s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2457022\/19980 - 125) + 4\/(-54).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29503357 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 122 = p, -q + 26 = -0*p - 4*p. Calculate the greatest common divisor of 42 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.8 and 3.6.\nAnswer: 67.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -959 divided by 1.\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 13*u)*(u + u + 0*u) + (-1 + 1 + u)*(-1 + 1 - 3*u) - 4*u**2 - 151*u + 151*u.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135735*m**3 - 57056*m**2 + 1?\nAnswer: 814410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least 780\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2345038*d**2 + 4871017 wrt d.\nAnswer: -4690076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 12*s + 7. Let y be z(12). Let f = 11 - y. What is the least common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3 + 5*h**2 - 6*h**3 + 12*h**2 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300204 (base 5) to base 3\nAnswer: 110221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (5 + (8 - 17) - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 26444 + 26449 + 3*d + 2*d - d. Let b(n) = n. Let u(k) = -3*k - 2. Let v(z) = 2*b(z) + u(z). Let q be -1 + 10*(0 - 1). What is q*v(m) - 4*l(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 - 9*f + 6. Suppose -5*l = -0*l + j + 27, -2*j - 14 = 2*l. Let g(m) = -m**2 - 7*m. Let d be g(l). Is a(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15769 - -15774. What is the third smallest value in -7\/6, -100, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -1.4 (c) -25 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n - 1923 + 14023 = -225*n - 90*n for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00197047605 to five decimal places.\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12 + 1\/(-3)*-11. Suppose 11\/6*c**u - c**2 + 0 + 1\/6*c - c**4 = 0. What is c?\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1191428 litres?\nAnswer: 119.1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9\/214, 1, -7, -2, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-40)*-2 + -3 + 16\/5. Let a(t) be the first derivative of 10*t + x*t**2 + 10\/3*t**3 - 17. Differentiate a(c) wrt c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 595 + 20*t - 624 - t. Let l(c) = -9*c + 13. Let x(i) = 13*l(i) + 6*q(i). Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5458.55607 to one dp.\nAnswer: 5458.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/6 - l**3\/2 + 3*l**2\/2 - 3. Let g(z) be the second derivative of w(z). Calculate g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 14 = g - 22, c - 4975778*g + 42 = -4975786*g for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00170689 to 5 dps.\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)\/(1*sqrt(2))*-2)\/(6*-3*-2*sqrt(864)).\nAnswer: -sqrt(7)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c, -46*h = -43*h + 3*c + 105. Let l be ((-4)\/(-16)*h)\/(3\/(-12)). Sort 1, 3, l, 5.\nAnswer: 1, 3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**2. Let z(t) = 310*t + 6. Let l(x) = 884*x + 17. Let q(w) = 6*l(w) - 17*z(w). Give i(q(p)).\nAnswer: -21964*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 5*t + 3. Let c be a(6). Let j = 3 + 10. Let u = j - 4. What is the greatest common divisor of u and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276 divided by 3?\nAnswer: -1276\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 7*q + 2*q + (0*q - q - q)*(-4 + 1 + 2) + 7*q + q - 2*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 20 = -2*r, r + 1586*p = 1584*p + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**5 + 23037*j**4 - 3*j**3 - 44*j**2 + 305857*j wrt j.\nAnswer: 300*j**2 + 552888*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101364.\nAnswer: 2, 3, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -122134?\nAnswer: 122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/15 - 62*w**3\/15 + 4*w**2 = 0. What is w?\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w + 4. Let j be i(0). Let b be (6\/j)\/((-18)\/48). Let y be (-3 + 5)*(-2)\/b. Solve v + 1 = -y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 70 = 4*x, -3*n + 42 = 3*x. Calculate the remainder when 66\/n - (-4)\/14 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 29. Let p(l) = 498. Calculate -p(j) - 2*s(j).\nAnswer: -6*j - 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = k + 5*s, 2*k - s = -4*s + 186. Round k to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 70618*i**2\/3 + 565040*i\/3 - 1130144\/3.\nAnswer: -2*(i - 4)**2*(i + 35317)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 2*b - 16, 0 = 3*i - 5*b + 2. Suppose 0 = -3*s - 0*s + i. Solve -5*z - 10 = 5*n - 0, -s = 2*n + z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {n: 1, p: 2, u: 1, z: 1, w: 1, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37493858.\nAnswer: 2, 18746929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 4*y**7\/7 - 68*y**6\/3 - y**4\/2 + 2426*y**3\/3 + 2230. Find the third derivative of g(u) wrt u.\nAnswer: 480*u**3 - 8160*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3388*h**3 + 869*h**2 + 121. Let p(r) = 113*r**3 + 29*r**2 + 4. Let i(g) = 121*p(g) - 4*v(g). Find the third derivative of i(s) wrt s.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 181051?\nAnswer: 5\/181051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 - 6*b - 4. Let d be (-50)\/15*18\/15. What is the tens digit of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*p**2)*(35*p + 42 - 42) - 4 - 7*p**3 + 1 + 4*p**3 + p as d*p + b + y*p**3 + j*p**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(1\/(-2)). Is (-118)\/(-2) + 2 + z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -298\/5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 35*h**3 - h**2 + 2*h. Suppose -4*x - 208 + 216 = 0. List the prime factors of s(x).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1418.026 + 1418. What is the second biggest value in -5, w, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 11*y = 20. Let k(s) = -5*s + 11. Let h be k(-7). Let i = 43 - h. Sort i, 0, y.\nAnswer: i, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k\/(k**(-26)\/k))\/k*k)*k)\/(k**(-15\/8)*k)*((k**(-1\/17)\/k)\/k)**(-38) assuming k is positive.\nAnswer: k**(7223\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 23, 22, 21?\n\"Answer: -d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65826*s**2 + 2*s**4 - 4*s**3 - 3*s - 65803*s**2 + 2*s to x + f*s**3 + y*s + g*s**4 + b*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 - 9*h**2 + 10*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - 3*b - 4*b as g*b + s and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*f - 32697 + 32695, -2 = 5*f + 2*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 11\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 19 = -45. Factor 870*v**2 - 426*v**l - 409*v**2 - 85*v - 60.\nAnswer: 5*(v - 3)*(7*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s + 1. Give g(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8026*f + 26521*f - 12817*f to the form b*f + h and give b.\nAnswer: 5678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.07 (b) 5 (c) 41 (d) 12 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i - 304*i = -7072 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g*q**3 - 20338*g*q**2 + 28*g*q + 12933*g + q wrt q.\nAnswer: -150*g*q - 40676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 622.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (15 + 14 + -25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1036)\/154 + 7 + (-25 - -26).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/12 - 5*t**4\/24 + 5*t**3\/3 - 13*t**2\/2 + 3*t. Let o(u) be the first derivative of g(u). Factor o(i).\nAnswer: -5*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175085587.\nAnswer: 13, 47, 1283, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbuub. What is prob of picking 2 u and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -3*y. Let z(i) = -4*i + 49. Let j(w) = 9*w + 73. Let d be j(-7). Calculate the smallest common multiple of y and z(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -10*l + 3*l. What is the units digit of l*65 - (-2 + -3 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 2. Let t be q(-2). What is the second derivative of 1 - t*k**2 - 4*k - 1 + 15*k**2 wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1796 and 4.\nAnswer: -7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167148503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13a8 (base 11) to base 5\nAnswer: -24222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 - 1)*(0*w + 0*w + 7*w)*(0*w - 3*w**2 + 0*w).\nAnswer: 42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1 = -21. Let y be 1*-1 + v + -3. Let x be 8\/(-10)*(-2)\/8. Is y at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.05813ms in nanoseconds?\nAnswer: 50058130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 4*f + 1. Let v be y(3). Suppose 88 = -v*s + 6*s. Suppose 0 = -i - 0*i + s. Calculate the remainder when i is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8927*a - 504138 - 165492 = -242578 + 322816 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -25. Suppose b*w + 3*c = -534, -3*w - 2*c + 3*c - 394 = 0. Let l = w + 214. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-28)\/(j**(-3\/2)*j\/j**(-1\/9)*j) assuming j is positive.\nAnswer: j**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let i be t(4). Suppose -i*x + 120 = 3*x. Suppose 22 = 2*n - 4*b, -4*n + 35 + 1 = -4*b. Solve x = -2*y + n*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34767 + 2*u - 11912 - 176862.\nAnswer: 2*u - 223541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 2*f - 1. Let j be z(-1). Let x = 479 + -461. Let c be x\/(-6) - (j - 0). Which is smaller: -12\/19 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**4)\/(q\/(q*q\/(q*q**(-10\/9)))*q*q) assuming q is positive.\nAnswer: q**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18c40 + 0?\nAnswer: 18c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230819277*q**3 - 557087985?\nAnswer: 692457831*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, 0.3, 43, 3.57, -34, 0.5?\nAnswer: 3.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Let g(d) = 6*d + 1. Let z(u) = -5*u - 1. Let i(h) = 3*g(h) + 4*z(h). Let k(o) = 2*i(o) - 3*x(o). What is k(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:06 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 7. Let r be o(-3). Let p(l) = -l**2 - 2*l + 10. Let i be p(0). Solve i = -4*b + 2*a, 4*b - r*a - a = -13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1377483528 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50138 - 29927. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3077483, 3077466, 3077449?\n\"Answer: -17*q + 3077500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*m + 1983006 = 0, -m = 10*y - 14*y + 2644002. Round y to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-2\/99)*a**(7\/3)*a\/a**0 assuming a is positive.\nAnswer: a**(994\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.14 + 7.68. Let z = 4 - s. Let y = z - 0.46047. Round y to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1175865?\nAnswer: 4703460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*i = -v - 1, -2*v - 5*i + 7 = 0. Suppose -12*o + v*o - 1 = 0. What is the closest to -1\/2 in 2, o, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 0.106748826714691.\nAnswer: 0.506748826714691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3894*c + 15565. Calculate q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/21658 and -129\/43316?\nAnswer: 43316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3794)\/(-28) - (-6)\/4. Suppose 10*y - 113 = r. Solve f - k = 8, 4*k = -k - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 60 = -a + 2*c, 3*c = -3*a - 30. Suppose 4*f - 4*t - 23 = f, -3*t + 25 = f. Solve -f = g + a*j, -4*j = 3*g - j + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-54))\/((-42)\/(-4))*-2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9100\/728)\/(2*20\/(-16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {o: 1, w: 7, h: 6}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 + 114. Let a = o - -238. Let n = 158.198 - a. Round n to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 + 7*c + 5. Let v be u(7). Let n be 2\/((-2)\/2 - (-20)\/18). Suppose b + 5*h = 5*b - v, 3*b + h = n. Solve b*p = 8 - 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5177 - -5181. What is the lowest common multiple of 52 + 0*1\/2 and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h)\/h**(1\/5)*(h**(-2\/5))**(3\/8) assuming h is positive.\nAnswer: h**(-87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/x**(1\/2)))*x)\/x)**(-7\/8))**(2\/43) assuming x is positive.\nAnswer: x**(-7\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 12:14 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5*2)\/(10\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63020 is divided by 407?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l = -26*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75102536 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3) - -2 - 2. Suppose 4*a + 4*t - 13 - 83 = s, -96 = -4*a + 5*t. Suppose -k - 5*x = 1 - a, 0 = 4*k + 5*x - 47. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/257878180 and -33\/663950.\nAnswer: 1289390900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 283021242.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)*h**20)\/((h*h\/h**(-35)*h)\/(h**41\/h*h)) assuming h is positive.\nAnswer: h**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 9. Let f = -0.36 + 0.26. Which is the smallest value? (a) p (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9129.7 rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.356 * -13.\nAnswer: 381.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -189432373*k. Let d(x) = -3*x**2. Determine t(d(z)).\nAnswer: 568297119*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 8 = 4*f, 4*a + 15 = 5*f - a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.4 - 37. Let i = q - 8.514. What is i rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260 + 55 + 94 - -94\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p. Let d(o) = 32*o**3 - 3*o**2 - o + 1. Let i be d(-1). Let r = i - -38. Let w(c) = -r*c**2 + 3*c**2 - c**2. Give w(b(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40\/317 - -5071\/32651. Let u be (-2)\/(-2) - (-2 + 3). Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 108*z\/5 + 297\/5.\nAnswer: 3*(z - 33)*(z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 617520 and 151890.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.76 in 1.8, 4, 3, 9?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14850 divided by -495.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 68 = -7*o. Let x = -15 + o. Suppose x*k - 41 = 109. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/2)\/((-3)\/(-2853)). Let y = a - -22049. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4496*a + 225080 = -1131*a for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, k: 1, q: 2}. Give prob of sequence hk.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*w - 1890, 3*u - 960 = -w + 2*u. Suppose -3*d + 4*r + 587 = 0, 0 = 9*d - 4*d - 2*r - w. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -76*f**2 + 2183*f + 459. Calculate a(29).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9071 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8020*g + 8015*g = -6435. Calculate the greatest common factor of g and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228922 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**5\/40 + d**4\/12 + 4*d**3\/3 + 1. Let s(c) be the third derivative of h(c). Differentiate s(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/13 - 38\/(-494)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 94*c - 2. Let t be d(2). Suppose n = 3*m - 775 + t, -201 = -m + 5*n. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*j + 160, 0*j + 90 = -j - 3*y. Find the common denominator of 18\/27*(j\/36)\/5 and -71\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= 214\/8065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -2, 0.072?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/44 and 15\/12676.\nAnswer: 139436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(6*sqrt(10)*-2))\/((sqrt(8) - sqrt(648)*-2) + sqrt(16)\/sqrt(2)*3))**2.\nAnswer: 1\/34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 271, 0, 5 in descending order.\nAnswer: 271, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 1519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -422 or -2111\/5?\nAnswer: -2111\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1211, -2402, -3595, -4790?\nAnswer: -5987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26044587 divided by 9\nAnswer: -2893843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 20. Let q = -1.986 - -1.586. Sort 2\/15, n, -5, q.\nAnswer: -5, q, 2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/67 in -4, 4412, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgtwggzgzgztzcggy. Give prob of sequence ctz.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.931 to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163999 is divided by 2145?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -43*t - 9. Calculate u(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*t + 2*a**2 - 183*a*t wrt a.\nAnswer: 10*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 174. Let i be v*33*5\/30. Solve 5*w + 3*z + 10 = 0, -4*z + 6*z + i = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11 + 9 = c, -5*i - 13 = 3*c. Let n = 320 - c. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244935 + 1242145 = -30*h for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/57, -1\/6, -4, -3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -689392?\nAnswer: -689392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 3)*(1 - 5 + 2)*(-561*h + 116 - 116).\nAnswer: -4488*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -621 + 620.8. Let v = 8 + -6. Which is the nearest to -3\/7? (a) i (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-702)\/42 + (-8)\/28. Let j(m) = m**2 + 16*m + 28. Let w be j(-9). Let a = -49 - w. Is z <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011131113 (base 5) to base 12.\nAnswer: -82b629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 + 4*d**2 = 0. What is d?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*d**4 - 39*d**4 + 49*d**4)*(-10708 + 10708 - 124*d).\nAnswer: 2356*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1316 + 3088. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (-1 - (-2 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41423711 by 7.\nAnswer: -5917673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 48*p**2 + 83*p - 252. List the prime factors of q(48).\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137082.69558 less than -141.2?\nAnswer: -137223.89558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c**2 + 0*c)*(20 + 2 - 22 - 48*c**2).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35215.64t to milligrams.\nAnswer: 35215640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**3 - 11*k**2 + 5*k + 3. Let g(z) = -19*z**3 + 21*z**2 - 8*z - 5. Determine 3*g(h) + 5*i(h).\nAnswer: -7*h**3 + 8*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57908751 by 18943.\nAnswer: 3057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.1 - 19.1. Let g = -38 - -37.56. Let w = g - 3.56. Is h equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -596, -896, -1196?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42575, 170305, 383187, 681221, 1064407?\n\"Answer: 42576*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -216413 less than -1021?\nAnswer: 215392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1421 - -4742?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.095773091 to four dps.\nAnswer: 0.0958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*n + 5525 = -39. Solve 2*m = -2*z - 48 + n, 0 = 4*z - 4*m - 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 3*z**5\/10 - 2*z**4\/3 - 2*z**3\/3 - 5*z**2\/2 - 132*z. Let o(y) = -3*y**3 + 4*y**2 + 2*y + 3. Give 5*o(m) + 3*s(m).\nAnswer: 3*m**3 - 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108573166*z - 32187991?\nAnswer: 108573166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15813335?\nAnswer: 5, 61, 139, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001881948597 to six decimal places.\nAnswer: -0.001882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/8 (b) -1 (c) -4\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -11*v - r, 3*v + 3*r + 111 - 129 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -13. Let y(s) = -3*s - 4. Let j be y(d). Which is smaller: -11 or j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128\/7 + 2\/7*k**3 + 24\/7*k**2 + 96\/7*k.\nAnswer: 2*(k + 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-10) + 4\/(-10). Suppose 6*t = 2*t + w. Solve 3 = -t*d - 3*c, 2*d - 3*c + 7 + 2 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 + 408*o - 221. Determine u(-59).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96860 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*x + r - 4 = 0, -5*x = 3*r - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3286 - 3290. Let i = 2 - 6. Let o = i - -2. Which is the closest to f? (a) 0.5 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/2 - (-1 - -1). Let k = -2 - x. What is the remainder when ((-15)\/(-2) - 1)*2 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39163 times -203.3\nAnswer: -7961837.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18634 minus -75.34856399?\nAnswer: 18709.34856399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 34.1. Let j = -0.8 - -1.2. What is the biggest value in 2\/3, s, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 10:18 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9)\/(1\/6). Suppose -4*t + 4 = -3*t. Let g be (2 - t - 1) + 8. Solve 4 = -3*v + f*w, -g*v + 4*w + 2 = 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0*z**3 - 3*z**3)*(z + 1 - 1) - 4*z**4 + 4*z**4 + 2*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + f - 7. Let h be w(4). Let y(x) = 28 - 75 - 62*x + h. What are the prime factors of y(-4)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 121*z**2 - 914*z - 1160. Calculate r(-113).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.091 - 0.191. What is the second biggest value in 3\/7, 3\/2, f, -2\/17?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + (89 - -20) + -6 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 9718.\nAnswer: 58308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - ((-7 - -1) + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 639.9 - 639.89999976544. Round z to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(324) + sqrt(324)*-2))\/(sqrt(45)\/sqrt(80)))\/(2*(sqrt(588) - 1*-2*sqrt(588))).\nAnswer: 4*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9110513\/10 + -912094. Let n = y + 2109\/2. Find the common denominator of -99\/8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(96) - (sqrt(96) + -3*sqrt(96)))*6)\/(sqrt(1188)\/sqrt(11))*-4.\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, 2*d + 2 - 4 = -2*g. Which is greater: g or -23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197.71 < -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100417799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 24. Let i be z(9). Let a = 38 - i. Solve 4*r = -r + a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-24)*l\/((l\/((l\/l**(-14))\/l*l))\/l))\/((l\/l**10*l)\/(l*l**(-4\/5))) assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsllssl. What is prob of sequence llll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 56 - 6 = 0. Suppose -6*y - 9 = 3*z - 3*y, -2*z + y + 9 = 0. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4360 is divided by 84.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let j(z) = 104*z**2 + 20*z**2 - 22*z**2. Calculate j(g(o)).\nAnswer: 408*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.00532512 - -424.98184512. Let w = 425 - m. Round w to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 110514.84919911.\nAnswer: 110514.94919911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78368385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 21*c + 14. Let f be t(6). Sort 17, 3, f in ascending order.\nAnswer: f, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106819?\nAnswer: 7, 17, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 10*l**2 + 13*l - 7. What is the tens digit of t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18550, 23151, 30810, 41527, 55302, 72135?\nAnswer: 92026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d + 5. Let s(k) = 7804*k**2. Determine o(s(p)).\nAnswer: -93648*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -2*x - 22, 11 = -170*x + 167*x - 2*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 10*u + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7623391500 rounded to the nearest 1000000?\nAnswer: -7623000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*l + 3377, -2*p = 11*l - 6*l - 2268. List the prime factors of p.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1291498 milligrams?\nAnswer: 0.0001291498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 20247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1866 - 381. Let n(v) = -6*v**2 - 1485*v + c*v. Let f(t) = -3*t - 2. Give f(n(r)).\nAnswer: 18*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 44 = -g, 2*v - 6*g = -g - 44. Let k be 2\/(v\/(-21)) - 14\/28. Solve 5*y = -10, -10 = 3*h - k*y + 2*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*j + 230. Let r = -137\/3 + j. What is i in -r*i**2 + 1\/3 + 0*i = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651.1 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, d: 1, k: 1, l: 4}. Give prob of picking 1 w and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/540 - 23*f**5\/90 - f**4\/108 + 23*f**3\/9 + 1069*f**2. Factor n(p).\nAnswer: 2*(p - 69)*(p - 1)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1566 and 2.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137.1 + -137.6. Let j be ((-2)\/(-125))\/((-1)\/(-5)). What is the second biggest value in s, 5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -4*x**3\/3 - 3*x**2\/2 + 587*x - 5. What is b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s - 2*z - 216 = 0, 2*s + 314*z - 311*z + 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11300 (base 4) to base 12\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**2 + 7 - 1 + 61*j**3 - 7*j - 60*j**3. Let f be t(9). Suppose 0 = r - 3*r + f. What is the remainder when 34 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85.623 + -0.577. Let g = i + -16.8. Let y = g + 103.00000195. Round y to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and -192467.\nAnswer: -3079.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 185\/(-111) - 9268\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97432, 98360, 99290, 100222, 101156, 102092?\n\"Answer: g**2 + 925*g + 96506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) 1\/226 (d) -33 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*p**2 + 2740*p - 2765.\nAnswer: 5*(p - 1)*(5*p + 553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = r - 9, 4*r = -4*t + 2*t + 8. Let c be r - (-4)\/((-108)\/69). Determine u so that 2\/9*u + 0 + c*u**2 + 2\/9*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 + 0.05. Let k = b + -2.09. Sort 0.2, k, 2 in decreasing order.\nAnswer: 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 97. Let c(v) = -v + 1. Let l(k) = -6*c(k) - f(k). Let d be l(26). What is the highest common divisor of 351 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.5. Let c = -192.3 - -194.3. Let m be (-2)\/10 + (-16)\/(-5). What is the biggest value in m, n, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m - 12. Let v(a) = -8*a. Let p = -46 - -47. Let o(z) be the second derivative of -z**3\/6 - 2*z. Determine m*o(q) + p*v(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -100. What is the least common multiple of a and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.79226 millilitres to litres.\nAnswer: 0.06079226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3976\/(-70)*-20 + -14. Is j >= 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/15 - i**4\/24 - i**3\/3 - 2*i**2. What are the prime factors of m(5)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906 - 1550*z + 1875 + 561*z - 969.\nAnswer: -989*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 18*r**2 + 18*r + 50. What is the remainder when 1046 is divided by q(-10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r - 3. Let b = -323 + 325. Suppose -134 = 5*a - 364. Calculate the remainder when a is divided by d(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(50\/(-40)*2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 14. Let l be (-39)\/(-33) - u\/(-22). What is the closest to -2\/3 in l, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140844 and 28373664?\nAnswer: 312110304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 5. Let r be w(-7). Let j(i) = i**3 - 2*i**2 + 2*i + 2. Let p be j(0). Suppose -t + r - p = 0. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-39))\/(1*(-2)\/(-20)*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/2343962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-2)*1\/1. Suppose -k - 3 = -i, -3*k + 20 = 2*i - n. Is 9 - i - (-114 + 0 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 8*y**2 + y - 5. Calculate o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 105220?\nAnswer: 1788740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-50))\/(-1))\/(13\/(-455)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8420 = -21*u + u. What are the prime factors of u?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005614 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/228 and -50\/3.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/13 + 12*q**2\/13 + 24*q\/13 + 16\/13 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65849632613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917140 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5091898?\nAnswer: 2, 7, 401, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4 - (-140070)\/(-3220)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c**3 - 4*c + 5. Suppose -4*i - 18 + 50 = 4*w, -i = -3. Is v(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66678 is divided by 21381.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191504342 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*u - 284*u + 0 + 5.\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + a = -0*a + 59, -4*p + 119 = a. Let k(t) = -2*t**3 + t**2 - 4*t. Let o be k(-3). Calculate the greatest common divisor of o and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16870 - 3310. What is q rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 25*f - 16*f + 8*f**2 + f**3. Give l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -257397*l**2 - 4 + 6 - 18*l + 257387*l**2 + 5 as r*l**2 + u + w*l and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 135162 + 39105 = 0. What is the third biggest value in -4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-1))\/((-10)\/(30\/3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {i: 4, t: 1, c: 2, u: 2, z: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8800.49 * -1.\nAnswer: 8800.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:43 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 198, 281, 344, 381?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 95\/2 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(343) - (sqrt(343) + 2*sqrt(343) + sqrt(343) + sqrt(343))) + -2.\nAnswer: -2 - sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b)*(0*b**2 - 2*b**2 + 3*b**2) - 4 + 4 - b**3 + b**3 - 2*b**3 + 0*b**3 + (-24*b + 24*b - b**3)*(-6 + 1 + 3).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -833.9 - -833. What is the third biggest value in -4, 2, -1\/71, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/21 - -6*(40\/(-112))\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 180. Suppose 0*n + 2*n = 44. Calculate the remainder when i is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -3\/913 (b) -5 (c) -0.3 (d) -14 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 683677 and 2793.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 + 30?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -48. Solve 0 = k - 2*a - m, 5*k + 0*a = -3*a - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475963087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 96023*f**2\/3.\nAnswer: -f**2*(f - 96023)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z - 40. Let i(q) = 8*q + 39. Calculate -7*i(p) - 6*y(p).\nAnswer: -2*p - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.71 and 11413?\nAnswer: -8103.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(90\/(-10))*((-481)\/(-520))\/(-37)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 56, 4 in descending order.\nAnswer: 56, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1641876 and 40.\nAnswer: 16418760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21804.13163 rounded to the nearest 10?\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 808449 and 8928?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -7. Which is the closest to v? (a) -3\/7 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + b?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 + -158. Let t(p) = -15*p**3 - 2*p - 1. Let b be t(-1). Calculate the greatest common divisor of b and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61561*c**3 - 61405*c**3 + 20*c**2 - 20*c**2.\nAnswer: 156*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 142268*b. Let f(t) = t. Give f(p(l)).\nAnswer: 142268*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 601+-10\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56848 - 1836?\nAnswer: -58583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(2\/(-4)*(-978)\/(-8150)*(-40)\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4 - a - 19*a**2 + 1 + 20*a**2. Let q be n(3). Suppose z = q*z - 2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 49. Let b be (-30)\/(y\/(-5))*6\/(-10). Solve 4*f - 5 = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-80)\/4))\/((-6)\/10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4240 and 19345.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656667778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1337 and 92869357?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172\/115 - -1\/230. Which is the nearest to 1\/2? (a) 5 (b) 3 (c) 0.09 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -617612629?\nAnswer: 617612626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*g = 217*g + 5*i + 20, -26 = -6*g + 4*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 61. Suppose -5 = -b + u. Suppose 0 = -4*o - 8, 0 = -b*w + w - 5*o + 685. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 444\/21 + 4\/(-28). Let o be 14\/c + (-4)\/6. Suppose -f = -2*x + 57, o*x - 2*f + 72 = 2*x. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209.263491 less than -1.83?\nAnswer: -1211.093491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/11 - 544526912*u\/11 - 37063694736531968\/11 = 0.\nAnswer: -136131728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/54 and -7 - ((-3)\/2 - 31382\/4212) - 2.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 + 492*q**2 + 1492*q + 6239. Calculate u(-120).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471ec (base 15) to base 8.\nAnswer: 672414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28194, 0.5, 5\/3, -1\/3, 3\/2 in descending order.\nAnswer: 5\/3, 3\/2, 0.5, -0.28194, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 8\/52 + 0. Which is the biggest value? (a) x (b) 0.5 (c) 0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v - 22. Give i(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 7. Let u be f(11). Let x(k) = k**2 + 4*k + 4. Let b(l) = -11*l - 15 - 2*l**2 + 0*l + 4. Give u*b(z) + 11*x(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*d = 14, 4*u = -d + 3*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 28807.9 hours?\nAnswer: 103708440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(224)\/sqrt(4) - sqrt(56)))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 3. Let q be z(3). Let p(d) = 2*d + 3*d**2 - d**2 + q*d**2 + 3 - d**3 - 5. Let x be p(3). Let o(r) = -r**2 - 6*r + 6. Calculate o(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.19, 2\/5, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8124226.17 to the nearest ten thousand.\nAnswer: -8120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092375445.\nAnswer: 5, 109, 3839221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 893 and 8235246?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 43\/4, 2, 0.2, -51\/5, 1\/10, 2\/9, 3?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162942.\nAnswer: 2, 3, 13, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1497 + -5?\nAnswer: -14a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 571968 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -10*s + 16*s - 308. Calculate the greatest common divisor of 329 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 4. Let d = t - -9. Let m be (0 - -3)*2\/d. Solve m*n = 7*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2047 + -4?\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -396\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, m: 1, q: 1, n: 2}. Give prob of sequence vm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 56 = -g + 2, -4*f = g - 48. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120399030 and 18.\nAnswer: 120399030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162 + 158 - 2*n + 44 + 235 to s + r*n and give s.\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(8\/(-9702)) + 85\/(-340). Let u = z - -1885. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*j**6 + 59*j**2 - 270*j**6 - 10 + 50*j**2 - 159*j**2 + 55*j**2 wrt j.\nAnswer: -36600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 + 35 = 4*r, 0 = -b - 5. Solve r*s = -0*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 6*b. Let x(c) = -15*c**2. Determine i(x(h)).\nAnswer: -675*h**4 + 90*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Differentiate -3*c**4 + 4*c - g - 4*c with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3 (c) -1382\/19 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139604 and 108596?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71 and 50903.633.\nAnswer: 50832.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35168681 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60766725 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294993885 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2806 = -r + 2809, 4*q = r - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -874 - -876. Solve 27 = -i*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 2*r + 11. Let h be n(-5). Let l = -164 + 1151\/7. Which is the biggest value? (a) -2\/5 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30336783 to the power of 1\/2, to the nearest integer?\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 103588 (c) -0.8 (d) 5 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3630242405 + -4?\nAnswer: -3630242412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73716?\nAnswer: 2, 3, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2636\/94325 or 1?\nAnswer: -2636\/94325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 817 = -53*c. Let z = c - 11. Solve -7*m = -z - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-3)\/(-6)))\/((-30)\/12).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -170.0732180043+-0.17\nAnswer: -170.2432180043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5020917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -15. Calculate the remainder when 20\/5 - 37*-1 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -12 - 228\/114.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -5*s + x, -5*x + 90 = 4*s - 164. Calculate the highest common factor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6877 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) - sqrt(19)*-2*-4) + sqrt(19) + 0 + 5 + 1).\nAnswer: -12 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 25*x**2 - 5*x**2 + 41*x**2 - 2*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 52 = -3*m. Which is greater: m or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:27 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from qqnnnqlnqnlnqqlcl.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -31, -61, -101?\n\"Answer: -5*m**2 - 5*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**3 - 4*o**2 - 14*o. Let j(l) = -l**2 + l. Let v(a) = 4*j(a) - q(a). What is the second derivative of v(c) wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -33140?\nAnswer: -33122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2681, -1.4, -318, 5 in decreasing order.\nAnswer: 2681, 5, 0.4, -1.4, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-55)*(-2)\/2. Let u = 518 - 513. What is the third smallest value in -5, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121013 (base 5) to base 15\nAnswer: 23b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 5*m + 0*m)*(88 - 180 + 90 + 13*m**2) in the form w*m + p*m**2 + d + z*m**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1519 * 237537\nAnswer: 36081.8703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/3289524 and -75\/1204.\nAnswer: 141449532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjjaejjajeeajjjaae. Give prob of picking 1 e, 1 c, and 2 j.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11128 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019406889 rounded to seven dps?\nAnswer: 0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 0. Let h = -10 + 18. Let p = h - v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1773*i**2 - 94*i + 889*i**2 + 889*i**2 + 38*i.\nAnswer: 5*i**2 - 56*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170778097.\nAnswer: 7, 24396871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*b - 20 = 3*t, 3*t - 3*b = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x. Let g(o) = 15*o + 16*o - 3*o**2 - 24*o + 27*o + 4*o**2. Calculate h(g(z)).\nAnswer: 6*z**2 + 204*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*w + 8*w + 8, 16 = x + 2*w. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4863197?\nAnswer: 1291, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000293191 to seven decimal places.\nAnswer: -0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 4*o - 76, -228 = -3*m - 5*o. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 22. What is the derivative of 4 - 2 + 7*i - r*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/(-6))\/(14\/(-105)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 63*j - 65*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7 * 62.\nAnswer: -291.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - (70\/21 - 2)*-6. Solve -f = 3*z - 5 + 22, j*f = 2*z - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j + 11. Let m be c(-3). Let t(r) = -r**2 + r + 2. Determine t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 0*n**2 + 6*n**2 + 3*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36911 is divided by 36208.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2255223\/62589 - (-1 - -37)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39371841.\nAnswer: 3, 607, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-45)\/6)\/((-3)\/2). Solve -3*q - 9 = -y, -5*q - 10 = 4*y + m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g - 18*g - 17*g + 1. Let k(f) = -f + 1. Let x(i) = -5*k(i) - r(i). What are the prime factors of x(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204378*i*s**3*t**2 - 1935*i*s**3*t - 2*i*s**2 - 4*i*t**2 - 3*i*t + 10*s**3 wrt t.\nAnswer: -408756*i*s**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949\/2828*(-12)\/(-14) - 16\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7185, 7221, 7317, 7503, 7809?\nAnswer: 8265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 7 - 6 - 2)*(m - m - 2*m) to the form o*m**2 + n + f*m and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.552749g?\nAnswer: 8552749000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 2373.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxbq. Give prob of picking 1 j, 1 b, and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 + 3. Let u = y + -0.1. Let k = 4 - 8. What is the smallest value in u, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 49*p**3 + 5*p**2 - 171*p + 212. Is i(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.750050508457 + 0.15?\nAnswer: 0.900050508457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026121 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + 8\/10 + (-588)\/(-30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508 + -504. Let w(m) = -3*m + 3. Let k be w(-1). Solve -o + 15 = 4*x, -n*x + 3*o = x - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7399.719 kilograms?\nAnswer: 7.399719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*y + 308 = -4*h, -4*y - 154 = 2*h. Let z = -66 - h. Solve 5*u - 5 + 0 = -3*k, -4*u - k = -z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*s**3 + 3*s**3 + 9*s**3 + s**2 + 4*s - 2 + 6*s**3 to k*s**3 + w*s + u + l*s**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10651056 and 105456?\nAnswer: 10651056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w**2 - 5*w**3 - w**3 - 264*w**2 - w**3 + 3*w**3.\nAnswer: -4*w**3 - 183*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37234080 and 1664.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(sqrt(425) + -2) - (3 + sqrt(425) + 1))**2 - ((-4 + sqrt(425)*-2)*-1 + -2)**2)*4.\nAnswer: -4800*sqrt(17) + 178740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1187*p**2 - 18*p - 39. Let r(o) = 2376*o**2 - 40*o - 77. Let b(d) = 4*r(d) - 9*t(d). What is the first derivative of b(m) wrt m?\nAnswer: -2358*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1\/21, 11, -5, 0.5, -12\/11?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:33 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -5, 1254.8 in increasing order.\nAnswer: -5, -1\/10, 1254.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/9 + ((-10)\/(-3) - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90154361 to the power of 1\/2, to the nearest integer?\nAnswer: 9495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/16)\/(-6 + (-390)\/(-80)). Let w(o) be the first derivative of 0*o**2 + 0*o**4 + 2*o + 2\/5*o**5 - b*o**3 - 3. Find u, given that w(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.48 (b) 0.3 (c) 0.8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 + 87*p**2 + 637*p + 88. Give f(23).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5070492 and 112518.\nAnswer: 238313124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94326220 divided by -47163110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213034302 (base 5) in base 16?\nAnswer: 6745cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5170137 (base 8) to base 16.\nAnswer: -14f05f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 6. Suppose 0 = 4*o + 20, x + 10 = -2*o + 2. Calculate the smallest common multiple of d(-4) and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 0*f**2 + 136 - 117\/4*f**4 - 29*f**3 + 0*f. What is the third derivative of n(q) wrt q?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1839 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + 4*d)*(2*d + d - 2*d) - 2*d**2 - 4 + 4 + (3 - 3 - 2*d)*(0*d + d + d) - 5*d**2 - d**2 + 4*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/2))\/d**(-1\/5)*d**5*d*d**(-1\/4)\/d assuming d is positive.\nAnswer: d**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 11*n + 19. Let f = n + -16. Solve -5*d - 30 = -3*q, -2*q + 1 = 2*d - f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180 - 71 - 974*t**2 + 6826*t**2 - 2*t - 2427*t**2 wrt t.\nAnswer: 6850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/5)*m**(3\/7)\/m)**(-5\/6)*(m\/m**1)\/(m*m**(2\/9)*m)*(m\/m**(-4\/5))\/m**(-2\/9) assuming m is positive.\nAnswer: m**(-187\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36380, 36468, 36544, 36602, 36636, 36640, 36608, 36534?\nAnswer: 36412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.22 - 1.5. Let v = -8.91 + 9. Let y = v + s. What is y rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = b. Let i(c) = -c + 0 + 0 + b. Let h(d) = -1. Let t(s) = 2*s + 13. Let v be t(-6). What is v*i(k) + 4*h(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0 (b) -0.072 (c) 149 (d) 0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 11*x + 824000. Round x to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 295)\/(665\/35 - 20) is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1594 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 122\/(-3)) + 0. Let l = k - 40. Determine u, given that 1\/3*u**2 + l - u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -3102?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 10. Sort 1, 0, l in decreasing order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:58 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mommooo. What is prob of sequence momm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*j = 398 + 1226 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 71 (b) -2 (c) 4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11101 and 286667.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 96208947781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -52.14 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90390699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/49)\/((-6)\/17451). Suppose h - b + 477 = 0. What are the prime factors of h?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43425746 by -14.\nAnswer: 3101839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * 148\nAnswer: 207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 3*c**3 + 4*c**2 - 33*c**2 + 2*c**2 to the form a + n*c**2 + q*c**3 + w*c and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3589*g**4 + 3455*g wrt g?\nAnswer: 43068*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose 12 = -2*o + 20. Suppose 20 = 5*d, -q + 65 = a*q - o*d. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -1. What are the prime factors of (-2)\/b*26 + 2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - 19*d**2 + 5.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21444009?\nAnswer: 3, 227, 31489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-14)*(-1540)\/9009*-39.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.71439349 rounded to two dps?\nAnswer: 47.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 15*n**2 + 1477*n + 1366. What is c(-94)?\nAnswer: -4932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:22 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-5)\/((-5)\/14). Let j = -9 + -8. Let b = a - j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8368 - -12?\nAnswer: 8381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 706 = -172*t - 13*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15*q**2 + 33*q - 15. Let w(s) be the second derivative of 1\/12*s**4 + 0 + 17*s - 1\/2*s**2 + 1\/3*s**3. Let z(l) = -2*j(l) + 33*w(l). Factor z(d).\nAnswer: 3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 14*v**2 + 204*v - 21. Give d(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from {n: 4, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*f + 1 + (3*f - 3*f - f)*(-75 - 4 + 27) as w + v*f and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890, 3561, 8012, 14243, 22254, 32045, 43616?\nAnswer: 56967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/14)\/(3\/28). Let m be h*-3*3\/(-18). Let d = 13 + m. Solve -4 = -5*i - 2*z, 2*i - d*z = -2*z + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2243834 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 86, 192, 348, 560, 834, 1176?\n\"Answer: h**3 + 16*h**2 + 7*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2*l - 6. Let h(y) = -5*y**2 + 9*y - 25. Let p = -307 - -325. Calculate p*z(q) - 4*h(q).\nAnswer: 2*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16816248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -16. Let n be 1 - 0 - (9\/(-12) - -2). What is the second biggest value in n, k, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.885 + 0.115. Which is the smallest value? (a) d (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 6.145?\nAnswer: 6.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3\/2 - 2047*t**2\/4 + 2381*t\/4 - 85 = 0.\nAnswer: 1\/6, 1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:59 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 34*a - 3. Give s(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 15*b**2 + 5*b - 15. Let h be t(15). Let a be 1*1\/4 - (-2805)\/h. Factor a + 6*l**3 + 60*l - 30*l**2 - 87 - l**3.\nAnswer: 5*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) - (-228)\/(-104)*-98. Let o = p + -108. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 - -278. Let h = 163 - q. Let m = h + -66. What is the closest to m in 0.1, -6\/7, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -595 and -0.8.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001 (base 2) to base 13.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33028209*y**4 - 1355286*y - 10?\nAnswer: 396338508*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdqdbqdbdd. Give prob of sequence dqq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*t**5 - 19*t**4 + 4*t**3 + t**2 - 46*t + 11?\nAnswer: 5880*t**2 - 456*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u + 4. Let t(h) = 6*h - 1. What is -2*m(x) - 7*t(x)?\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) -1\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101010010100?\nAnswer: -101010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + 0. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68281\/2238 - -11\/1119. Which is the biggest value? (a) j (b) -4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 - n + 5. Suppose 3*v = -v + 28. Let t be h(v). Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19078.392 to the nearest one hundred.\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/60 - w**4\/3 + w**3\/3 + 4*w**2. Let y be x(-5). Suppose q + 0 = y. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 130 = -4*z, 4*z + 0*v + 3*v - 142 = 0. Let c = 38 - z. Solve q = 1 + c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3)**(-1))**(27\/4)*(s**(-1\/3)\/(s\/(s\/(s*s**(-5)*s))))\/(s**(1\/3))**(10\/7) assuming s is positive.\nAnswer: s**(-521\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (488*j**2 + 152*j**2 + 263*j**2)*(-9*j - 7*j + 23*j).\nAnswer: 6321*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:16 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 17*m + 14 + 1 + 13 - 17. List the prime factors of r(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*o + 1171*q + 1187 = -841*o, -4*o = -q - 33 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55e + -1e63?\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -18. Let h be (-12)\/(-10)*(-45)\/(-6). Solve 0 = -p*c + 10, 4*c = -i + h*c - 26 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 8*m**2 - 13*m + 2. Let v = -3 + 7. Suppose 0*g - w = -g - 10, -5*g - 41 = v*w. List the prime factors of b(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5 + 2\/5*a**4 - 6\/5*a**2 - 4\/5*a**3 + 8\/5*a = 0 for a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Let i = 38 + -38.4. What is the closest to i in -3, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b. Let g(i) = -i**3 - 5*i**2 + 5*i - 7. Let p be g(-7). Let r(t) = 56 - p + 2*t. What is s(r(m))?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 1150*a**3 + a.\nAnswer: 1150*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:28 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 86*z - 10. Let q(r) = -26*r + 3. Let d(p) = -3*f(p) - 10*q(p). Let t(i) = -2*i - 1. Let c(v) = 6*v - 14. Let l(y) = -c(y) - 4*t(y). What is l(d(g))?\nAnswer: 4*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22219 is divided by 7396?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44363 - 44359. Let b(d) = d**3 + d**2 - 2*d - 1. Let u be b(-2). Put -4, -2, m, u in descending order.\nAnswer: m, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 591 - 591 + 10*g**2 + 1 + 3*g**2 - 1 + g**2 + 0 + 0 + (3 + g - 3)*(3*g - 4*g + 2*g) + 6*g**2 - 2*g**2 - 2*g**2 + (4*g - g - 2*g)*(0 - g + 0).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-16 - -23) - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 12, 0*g = 2*o + 5*g - 138. Is o + ((-9)\/3 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - -40?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 12*c**2 - 13*c - 24. Let n be i(-12). What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.3 (c) 1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21668.\nAnswer: 2, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 + (-32 - -38).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(304) + 3 + 0)**2.\nAnswer: 96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23336*a**6 - 4842*a**2?\nAnswer: 2800320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 1 - 23. Suppose 8*q = u*q + 16. Find the second derivative of -4*t**4 - 10*t + q*t**4 - t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49293261794 take away 0.019?\nAnswer: 49293261793.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 152 = 47. Let a(g) = g**3 - 7*g**2 + 3. Give a(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 18. Calculate the highest common factor of 6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 120110101?\nAnswer: -120110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 5, 0, -510.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*q = -3*t + 101, 73 = 3*t + q. Let a(z) = -14*z + 4. Calculate the remainder when a(-3) is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4 + 8021*p**3 - 176993*p**2 - 378045*p - 193032 = 0.\nAnswer: -8043, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 11. Let a(u) = -u**2 - 6*u - 5. Let c be a(-6). Let m be q(c). Suppose -4*w + m*s = 2*s - 340, 5*s + 94 = w. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 - j**5\/6 + 5*j**4\/12 - j**3 - 3*j**2 + 4*j. Determine b(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3514784.\nAnswer: 2, 7, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 4513509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148249767.\nAnswer: 3, 43, 127, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.036 - 6.744. Let v = -274.22 + y. Let m = v - -280.99999383. What is m rounded to seven dps?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j**3 + 2*j**2 - j. Let a(i) = 45*i**3 - 12*i**2 - 6*i - 1. What is -a(h) - 4*x(h)?\nAnswer: -h**3 + 4*h**2 + 10*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10715511841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.675 != 1.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 40245*r + 5714763. What is w(-142)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 + -62?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2139\/126)\/23 - (-1)\/(-14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1963554 + 15751753\/8. Let y = w - 5423. What is the common denominator of -17\/11 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/282968 and -143\/140.\nAnswer: 1414840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) 2\/7 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/210 - 607*q**4\/42 - 368449*q**3\/21 + 2020*q**2 + 2*q. Factor j(k).\nAnswer: -2*(k + 607)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 1799203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/34)\/((-2)\/(-20))*(-36)\/90?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 557954*s + 1673844.\nAnswer: 2*(s + 3)*(s + 278974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -0.87 in ascending order.\nAnswer: -3, -2, -0.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**3 - 30*k**2 + 5*k**3 - k + 29*k**2 + 7*k**3 - 84087 + 84084. Let x(n) = 7*n**3 - 2. Give -3*x(i) + 2*y(i).\nAnswer: -5*i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a kilogram in grams?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 184.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18 = -g, -245*g = -248*g - 3. Solve -4*q + z = -v + 13, 0 = -3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 620\/(-45) + (-2)\/9. Let z(i) = -i**2 + 19*i - 18. Let b be z(18). Let c = b - q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 13*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a - -a?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 3. Let m be a(-3). Suppose -28 = -5*v + 47. Suppose 4*b = -m + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068 - 17051.030473?\nAnswer: -17051.098473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 593991370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c + 8. Let k be q(-4). Suppose -k = -t + 5*n, 6*t - 2*t = 3*n + 61. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1289610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**6 - 4*k**2 - 3. What is the second derivative of p(o) wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19330)\/43425 + (2 - 98\/63). Is z less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 15 = 2*d. Solve -4*h = 12, 2*y + 4*h + 14 = d*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 0.06, -3, 3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 + 2. Let y be j(0). Suppose a + 2 = 3*a. Is a greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*g**2\/7 - 5828*g - 2472\/7 = 0. What is g?\nAnswer: -309, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8.06. Let t = p - 2.94. Let m = 2837\/9 - 315. What is the nearest to 0.1 in t, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -4*j**3\/3 - 59*j**2\/2 - 190*j - 2. Calculate v(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29230 is divided by 464.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 9*a + 48. Let u be y(12). What is the greatest common factor of u and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 37\/51 (b) -4 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3 - 58\/20). Let u(z) = z**3 + 9*z**2 - 11*z - 5. Let l be u(a). Let g(k) be the first derivative of -k**2 + 2*k - 2. Determine g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -9\/65, 1\/10?\nAnswer: -9\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 180 + -2c6?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 372 = -2*f, 0 = 3*l + 1 - 4. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 2. Let j be r(-5). Suppose -j*h = -5*h + 24. Is h at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9*x - 165 = 0. Let l = x - 203\/6. Suppose t + 3*b = 5, 4*t - 2 = -3*b - 0. Is l > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 72*v**2 - 76*v + 23. Determine l(37).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1556601\/845348 + 361\/196. Let a = l + 81887\/129390. What is the common denominator of (-268)\/(-27)*(-4)\/16 and a?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 11*z**6\/30 + 2*z**3 + 3*z - 3. Let j(s) be the first derivative of w(s). Find the second derivative of j(v) wrt v.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10539300?\nAnswer: 2, 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s. Let o(u) be the first derivative of 1\/4*u**4 + 0*u**3 - u + s*u**2 + 2. What is the first derivative of o(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, 16\/17 in increasing order.\nAnswer: -0.1, 0.1, 16\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e914 - 0?\nAnswer: 7e914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a + 32 = 0. Let j = 4 - a. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 142. Let i be (52\/65 + (-8)\/10)*(4 - 3). Let v = i + x. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)\/l)\/l**(-8\/9)*l**18*l\/l**10*l assuming l is positive.\nAnswer: l**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let h be (-14)\/3 + 5\/(-15). Let n be a(h). Suppose -n*c = -3*c - 3*g - 156, -2*g = -4*c + 202. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355602522?\nAnswer: 2, 3, 11, 5387917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1667, 4406, 8973, 15368, 23591?\n\"Answer: 914*m**2 - 3*m + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4073312 and 5600804.\nAnswer: 44806432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, 3\/4, 0.01, 1745?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 1743*y - 1741. What is l(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 0.6. Which is the second smallest value? (a) r (b) -1.6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35898361 + 0.05.\nAnswer: -0.30898361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 2429, -12?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -16, -1.7, -0.4, -2\/25, -1\/6, -4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let x(r) = -2*r**2 - 2*r. Let p(s) = -2*s**2 - 3*s. Let t = -1 - 1. Let w(y) = t*p(y) + 3*x(y). Determine f(w(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12560 and 10080?\nAnswer: 1582560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 14 + 2. Suppose 2*a - 16 = 6*a. Are z and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 5 + 9*r - 4*r**3 - 3*r**2 - 4*r. Let i be m(-4). What is the first derivative of -i - 4*n + n + 4*n wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 5. Let f be 44 + 0\/(t\/3 + 1). Let z = -28 + f. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (5\/(-1) - 2). Let a be 4*((-10)\/2)\/u. Suppose 17 = a*w - 3*h, -5*h + 26 = 2*w - 31. Solve w = 3*s - s - 2*t, 2*s = t + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + -17 + 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/29)*m**(-16)*m assuming m is positive.\nAnswer: m**(-437\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1144 + 49. What are the prime factors of m?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24) - sqrt(6)))\/sqrt(2) + (sqrt(18)\/(sqrt(6) + sqrt(144)\/sqrt(6)))**2.\nAnswer: 1\/3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 79*h = 74*h + 44, 777*h + 2868 = 4*r + 92*h for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 21493248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = 3, 0 = -5*q + h + 17. Which is the smallest value? (a) 1 (b) q (c) -11\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44890167 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10956*t**2 + 21919*t**2 + 1 - 10962*t**2 - 1.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 31?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -18. Solve -o*g - 8 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4071.23 plus -0.148?\nAnswer: 4071.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*u - 142*u + 3*u**2 - 63*u - 114*u - u**2.\nAnswer: 2*u**2 + 151*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 - 189*z**2 + 37*z.\nAnswer: 18*z - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let h = -28 - -39. Suppose 4*a - 1 = h. Let s(w) = a*w + 2*w - 3*w. Calculate s(z(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**3 + 5*p - 3. Let w(i) = -6*i**3 - 8*i + 4. Calculate -8*s(c) - 5*w(c).\nAnswer: -2*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1166336 by 4352.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4821.\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpprrrpspyhyjryyrsh. What is prob of sequence hs?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)\/u*(u**(2\/11)*u)\/u)\/(((u*u**(-2\/3))\/u)\/u**6)*(u**(-2\/27)\/(u\/u**(-11)))**(2\/19) assuming u is positive.\nAnswer: u**(175174\/39501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 7*i**2 + i - 2. Calculate a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) + 4*sqrt(84)*-3))\/(((sqrt(588) - (sqrt(588) - sqrt(588)*2)) + sqrt(588))*1).\nAnswer: -55*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -40, -102, -202, -346, -540?\n\"Answer: -a**3 - 10*a**2 + 7*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-80 + 115068*s**4 + 28679*s**4 + 53 + 20 + 7) as j*s + d + v*s**4 + l*s**3 + w*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - -0.5. Let u = -4.6 + x. Let z = 1.624 + u. Round z to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-20) + (-66)\/(-15). Suppose 0 = 2*z + 2*n - 2, -4*n = h*z - 6*n - 28. What is the remainder when 7 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/3))\/y)\/y)**(-22)*y**(2\/7)*y\/(y**2\/y) assuming y is positive.\nAnswer: y**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 3) - 2 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.84 - 5.84. Put g, -1\/8, 3, -2\/3 in increasing order.\nAnswer: g, -2\/3, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -4. Solve 0 = l + 2*l + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/6 + g**2 + 2*g. Suppose 4*o = -3*y + y, -12 = -3*y. Let m be n(o). Let t(s) = -s + 4. Determine t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2205\/(-28) - ((-18)\/(-8) + -2). Does v = -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 8. Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 2 = -244*z + 258*z. Let x be ((-2)\/(-6))\/((-6)\/(-72)). Put 5, z, 3, x in ascending order.\nAnswer: z, 3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 66706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14162 is divided by 1674.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74, -65, -56, -47?\n\"Answer: 9*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 6*x + 8. Let m be q(6). Suppose -4*v + 6 = 3*u, -3*v + 5*u = -m*v + 5. Calculate the remainder when -2 + (-117)\/(0 - v) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15855.\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i + 0 - i**2 + 2 + 2. Let r be g(6). Let y = 13 + r. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*3117\nAnswer: -31170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*m + 198 = -354*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 - d**4\/12 + 17*d**3\/3 - 8*d**2 + 19*d. Let j be u(-7). Calculate the highest common divisor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2077, -2062, -2049, -2038?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*c**3 - 8*c**2 + c - 67*c**4 + c**2 + 65*c**4 as a*c**3 + z + j*c**2 + h*c**4 + k*c and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/(-3)*2. Sort f, -1\/5, -5 in increasing order.\nAnswer: -5, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-1)\/(-2) - 2). Suppose -c - 5 = -4*k. Suppose 4*r - 12 = 2*s, -k*r + 0*r + 4*s = -12. Solve 0 = -r*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.028 (c) -0.3 (d) 0.2 (e) -3\/4 (f) -4509 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33670, -67336, -101002, -134668, -168334?\n\"Answer: -33666*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 434274897 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-144)\/84)\/((-2)\/49). Let n = 83\/2 - f. Let h = 2\/377 - -716\/7163. Which is the second biggest value? (a) h (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 13*t = -115. Suppose 4*b - f - 2 = 0, 3*b + 19*f - t*f = 8. Let k be 2\/(-4) - 1\/2. Put b, k, -2 in decreasing order.\nAnswer: b, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2012 divided by -8\nAnswer: -503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101011 - 1101001?\nAnswer: -10101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2205 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.32443 hours to minutes.\nAnswer: 5179.4658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/221 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 7*x**2 - 4*x - 8. Let g(m) = -3*m**3 + 14*m**2 + 7*m + 16. Let t(q) = 2*g(q) + 5*z(q). Let u be t(-6). Is 27 a factor of (2 - -133)*u\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -26 - 250*(-1519)\/5425.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - -5c?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 39 (b) 0.16 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 29 + 13 = -3*k, 4 = 2*k. Suppose 0 = -2*i + 4*u + 8, p*i = 5*u + 12 - 2. Suppose -3*o + 84 - 3 = i. What is the remainder when 52 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/(-8 + 10). What is the nearest to 0.1 in -0.1, n, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, 5 in descending order.\nAnswer: 5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/108)\/(10\/45))\/((-52)\/(-96)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 19*u**2 + 3*u + 53. Let x be n(-19). Which is the biggest value? (a) -10\/13 (b) -4\/5 (c) x (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 192?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 225 = -27. Let k = o - -30. Calculate the smallest common multiple of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-638826\nAnswer: -51106.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14721925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55657240 times -11?\nAnswer: 612229640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1903 - -0.2. Round z to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -19*g + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588814567?\nAnswer: 11, 17, 3148741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4909 (base 10) to base 3.\nAnswer: -20201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.3 + -8. Let y = 1.94 - -0.06. Let g = -7 + y. What is the third biggest value in -3, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33306 and 8540?\nAnswer: 333060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3587 + -3041. What is the lowest common multiple of d and 14?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0237 * -1297\nAnswer: 30.7389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2. Let p(m) be the third derivative of m**6\/40 + m**3\/3 - 17*m**2. Let q(v) be the first derivative of p(v). Determine o(q(a)).\nAnswer: -324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 11*m**2 + 23*m + 116. What is x(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -23) + 4 + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 8*l + 0*l + 4 + 5. Let q be m(3). Do -2\/33 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-33 - -43)) + -57 + -2 + 4 + 5\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbm when three letters picked without replacement from mbab.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734417212.\nAnswer: 2, 183604303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3217632*j**2 + 7368*j + 13 wrt j?\nAnswer: -6435264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q - 41. Let y(t) = -30*t - 204. Let f(k) = -16*c(k) + 3*y(k). Let z be f(-7). Solve -z*x + 0*x + 5*b = 4, x = 3*b - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393900 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413418.4 micrograms to kilograms.\nAnswer: 0.0004134184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16630*u**5 + 1014*u**4 + 25003686*u**2 wrt u.\nAnswer: -997800*u**2 + 24336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431*r - 3*r + 111*r - 23114 = -623 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.769, 4, -5?\nAnswer: 3.769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 13*g**2 + 11*g + 12. Let p be f(12). Let v = -15\/4 - -61\/12. Factor p + 2\/3*u**3 + 0*u + v*u**4 + 0*u**2 - 2*u**5.\nAnswer: -2*u**3*(u - 1)*(3*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 97. What is the highest common divisor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + -17 + 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 6, y: 2, w: 2}. What is prob of sequence ymsm?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/1673532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 38*m to the form l + r*m and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6960 = -442*f + 7*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -24. Suppose -w = 3*t + 9, -1 = 2*t + 2*w + 5. Sort -2, t, u in descending order.\nAnswer: u, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24900736.\nAnswer: 2, 7, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/(-105))\/((-2)\/(-60)). Suppose z = 29 + o. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 44. Let m(b) = 19*b - 60. Let d be m(8). Let o = d - 51. What is the remainder when o is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*1*8\/20. Suppose 2*k = m*k - 458. List the prime factors of k.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2144 + 1112 = 4*s. Suppose -r = 2*t - s, -3*r = -4*t - r + 1644. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237 (base 16) in base 9?\nAnswer: -6351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -29, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - 8) + 1 - -6) + -6 + (26 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/100 and (-7)\/(-80) - (-219)\/(-1168).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 641 + 1b?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4\/3 - 25*h**3\/3 - 25*h**2\/3 + 25*h\/3 + 10 = 0. Calculate h.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a**2*f**2 - 192*a*f**2 + 6*f**2 - 253 wrt a.\nAnswer: 16*a*f**2 - 192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8102, -22717, -37332, -51947, -66562, -81177?\n\"Answer: -14615*p + 6513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1992 (b) 1\/6 (c) 0.14 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6514129 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6014 divided by 2\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/5)\/((-6)\/7530) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/3 - 9554*w**2\/3 + 31780*w = 0?\nAnswer: 0, 10, 4767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-70))\/(415\/(-38927)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 1\/24*j**4 + 0*j + 3*j**2 - j**3 + 0. What is c(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-4 + 8)) + (4 - 23) + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8423 - 421?\nAnswer: 8002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2. Let l(b) = -90*b - 34. Let i(t) = -32*t - 10. Let d(p) = -14*i(p) + 5*l(p). Calculate d(v(q)).\nAnswer: 8*q**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 276 - 101?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15715 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -21. Let j(o) = 3*o**3 - 2*o**2 + 2*o. Let u(n) = 7*n**3 - 5*n**2 + 5*n. What is g*j(i) + 6*u(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23935003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*m**2 - 5 - 2*m**2)*(0*m + 0*m + m)*(-m - 5*m + m).\nAnswer: 10*m**4 + 45*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -134.97, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-2 + 58\/(-8)). Let j be (-129)\/(-27) - (-2)\/b. Suppose 0*q + 25 = j*q. Solve -q*s = -4 + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-382)\/(-16) - 4\/(-32). Let o = 32 - q. Let i(w) = 20 - o + 5*w - 13. Give i(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-96)\/15*4\/8*(-4030 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 34*g**3 + 117*g**2 - 91*g - 60 = 0.\nAnswer: -4, -15\/34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*m = 56, h - 5*m - 13 = -5. Is h less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1 + 1 + 0 + 29*r - 4. What is the tens digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614*k**2 + 6379*k**2 - 1620*k**2 - 1617*k**2 - 1537*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 1c?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Let g be w\/((-1)\/(18\/4)). Let q = -3 - g. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093.8 minus -245?\nAnswer: 2338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*y**2 + 3027*y - 2081*y - 1 + 100*y**2 + (4 + 2*y**2 - 4)*(-1 - 4 + 3) + 0*y**2 + y**2 + 0*y**2 - 5*y + 5*y + y**2.\nAnswer: -6*y**2 + 946*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8452 = -48*p - 99508. Is p less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 2\/3, 4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 695035802 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-8 + (3 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3240879*k**4 - k**3 + 2*k**2 - 48717820 wrt k.\nAnswer: 12963516*k**3 - 3*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -564 - -569. Sort b, -2, 4, 3 in descending order.\nAnswer: b, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p - 473. Give z(32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.69 (b) -7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 189610120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 13)*(5 - 2 - 1 + 6*w).\nAnswer: -90*w - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40033017 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h - 12. Let d be s(12). Calculate the greatest common factor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590665585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -0.1. Which is the third smallest value? (a) -4\/5 (b) -3\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18547952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t - 9. Let z = t + 7. Solve -h - z*k + 20 = -0*h, 3*h = 3*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3070 by -2.\nAnswer: -1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 + -447. What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1367 - 1408. Sort 0.1, c, 1\/6 in ascending order.\nAnswer: c, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -0.5 (c) -2\/9 (d) 2\/5 (e) -4\/2597 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -25 + 26*k**3 - 104*k - 52*k**2 - 7 - 6*k**3 = 0.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -47*s + 35*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67386 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 12024489.\nAnswer: 2404897.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209436093.\nAnswer: 3, 31, 750667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 + -139. Let o = 219.1 - q. Which is the nearest to o? (a) -0.2 (b) -5 (c) -0.3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/4 (b) -0.4 (c) -1\/150 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 5*h**3 + 4*h**3 - 7 + 3*h + 5*h**2. Let x(z) = -6*z**2 - 175*z + 156. Let w be x(-30). Let n be m(w). Solve 4*i + 0 + n = p, -p + 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*l**3*s*w - 2*k*l**2*s - 4*k*l*s + 7*l**3*s*w - 30*l**3 - 2*l**2*w wrt w?\nAnswer: -k*l**3*s + 7*l**3*s - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 4*x = 173, -x + 2 = 0. Let s = -58 + 62. Suppose s*n = -n + r. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 60 = -2*b. Let q = b - 5. Suppose -2*r + 3*h = -q*r + 23, 3*r - 3*h = 9. What is the smallest common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f + 12. Let h be j(-11). Is -2 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1\/210*w**7 + 0*w**4 - 1\/100*w**5 + w + 0*w**2 + 0 + 0*w**3 + 1\/75*w**6. Suppose j(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*r = -14 - 2, 13*v = 4*r - 14 - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 806*c**3 + 208*c**2*x + 2*c - 16*x + 1866 wrt c?\nAnswer: 2418*c**2 + 416*c*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35515968 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*p = 0. Let f = -0.09 + 4.09. Let r = 11 - 10.7. Which is the nearest to r? (a) f (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/3 - 1223566*n**2\/9 - 10396589320*n\/3 + 577592072.\nAnswer: -2*(n + 50982)**2*(6*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 12*p = -11*p - 1, 4*p = 4*h - 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*w - 18 = 0, -16 + 4 = -a - 5*w. Suppose 5*l - 2 = 4*g, a*g + 4*l = -0*g + 12. What is the units digit of (g\/3)\/((-10)\/(-135))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -332976, -332969, -332964, -332961, -332960, -332961, -332964?\n\"Answer: -j**2 + 10*j - 332985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609591.\nAnswer: 3, 317, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 9, d: 1, r: 1, k: 2}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 212 + 4*l**2 + 3647*l - 3647*l.\nAnswer: 4*l**2 - 183","meta":{"dup_signals":{},"source":"polynomials__collect_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: b\"What is the ith term of 25551, 30845, 36139, 41433?\n\"Answer: 5294*i + 20257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 9180.\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27297508 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(3\/(-117)))\/((-4)\/(-136)*6) is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103302300 (base 5) to base 15\nAnswer: -8c785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12305 - 12303. Let b = -1 + 2. Differentiate -7 + 38*c**o + b - 24 + 5 with respect to c.\nAnswer: 76*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 8, x: 4, n: 5}. Give prob of picking 2 p and 2 n.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 14) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 r, and 1 d when four letters picked without replacement from rjdrdxdrdj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/14 and 29\/718.\nAnswer: 5026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + 0))*-2 + 5 + 0 + sqrt(2))**2 + ((5 + sqrt(8) + 0)**2 - sqrt(16)\/sqrt(2)*-1).\nAnswer: 32*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*-2*(-2)\/2. Suppose j*t - 3*t - 10 = 0. Let v be (1 + t - -1)\/2. Calculate the greatest common factor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -117\/19, 0.021, 1\/5, 2\/9?\nAnswer: -117\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 67. Suppose r + 4*y - 178 = 0, 0 = r - y - 93 - o. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -0.2 (c) -8 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.28 (b) -1\/4 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -986548 and 5.\nAnswer: -986543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.776645 millilitres?\nAnswer: 0.002776645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 42 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.097875 * -305.\nAnswer: -944.851875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 89447956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 2727*g - 19040.\nAnswer: -(g + 7)*(g + 2720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 410 + 0*x - 410 + x. Let p(s) = -2*s**2. Determine l(p(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/57 and -77\/456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -7199036627.\nAnswer: -7199036626.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19dd3 - 3?\nAnswer: 19dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 288. Suppose 221*o = 1646 + 2774. Calculate the highest common divisor of o and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1 - 9*t + 8*t + 1. Calculate w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-4\/5))\/n)**(2\/23)*n\/(n\/n**(-3\/2)*n)*n**(3\/4))**(-18) assuming n is positive.\nAnswer: n**(6957\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4, -4.27 in decreasing order.\nAnswer: 4, 1\/5, -4.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 34, 49, 64, 79, 94?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 5. Let l = 2 + -8. Let f be (6\/(-5))\/(l\/(-30)). Give i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -4, -0.3, 3\/2 in decreasing order.\nAnswer: 1.7, 3\/2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/((-132)\/(-8)))\/((-60)\/9 + 6). Let f(b) = 4*b - 5*b - 6*b**2 - 1 + 5*b**2. Let h(q) = 3*q - 1. Give o*f(j) - h(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*p + 87*p - 5 = 2*l, 4*l = 5*p - 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1055329 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h*w**2 - 1298*h*w - 47*w**3 wrt w.\nAnswer: -20*h - 282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 583542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133301.97 rounded to the nearest 100?\nAnswer: 1133300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5706624 and 4032.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -516 divided by -6\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1039447 by 35843.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314522036 + 4?\nAnswer: 314522043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*k - 668*k - 103*k - 168*k as w + y*k and give y.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*o - 2 = o, -481*w + 495*w + 50 = -4*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 877245.6mg?\nAnswer: 0.0008772456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/4 (b) -5 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4065 and 1084.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*(-7)\/28\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 203110031313?\nAnswer: 203110031310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-61)\/793*-1222\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2057)*2 - (sqrt(17)*-2 + 2))**2 - ((sqrt(68) - sqrt(68)*-2) + 3)).\nAnswer: -102*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkuk. Give prob of picking 1 r, 1 u, and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 4:53 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/35 + v**4\/21 - 4*v**3\/21 - 16*v. Factor r(j).\nAnswer: 4*j*(j - 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (11 - (-5 + 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (59 - 69) + 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*v = 199*v - 4193 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 v when four letters picked without replacement from {v: 2, f: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 399722 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470 and 45852260.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/54 - 3624\/(-27). Let m = 65 + h. What are the prime factors of m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107900204 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022345 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**7\/84 + w**6\/20 + 7*w**3\/3 - 13. Let q(h) be the third derivative of m(h). Find the third derivative of q(a) wrt a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*i - 18, -2*q + 2*i = -12 - 2. Find the third derivative of -422513*s**3 - q*s + 422513*s**3 - 3*s**2 + 78*s**4 wrt s.\nAnswer: 1872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 128.31436107562.\nAnswer: -126.31436107562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*v**3 - 12*v**4 + 2*v**3 + 13*v**4 in the form w*v**3 + p + d*v**2 + a*v + q*v**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 191*m**3 + 4202*m**2 + 14*m + 116. Calculate z(-22).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 = -5*n, f = 2*f - 2*n - 3. Let y = 0.06 + -5.06. Let m = -1 - y. Which is the third smallest value? (a) m (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -133*l**3 - 9*l - 13. What is the tens digit of c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3331680269.\nAnswer: 6619, 503351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/20 + y**4\/3 + 2*y**3\/3 + 3*y**2\/2 + 3*y. Let v = 101 - 96. Calculate j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 + 450*o + 1395 = 0.\nAnswer: -3, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/30, -4, -44, -1\/2, -0.2 in descending order.\nAnswer: 0.5, 1\/30, -0.2, -1\/2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764*x**3 - 788*x**3 - 986*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761, 5979, 20123, 47657, 93045, 160751?\nAnswer: 255239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2, 0.1, -5, 3\/13, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157 + 98*d**2 - 157)*(2*d**3 - 4*d**3 + d**3)*(0 - 5 + 1).\nAnswer: 392*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 28*b - 7 = 5*s, -4*s - 3 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*g = -3, -5*x - 3*g - g = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14572, -13956, -13340?\n\"Answer: 616*a - 15188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(76)) - (-2 + sqrt(76)*2).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*m**3*z + 2*i*m**2 + i*m*z - i*m - 227*m**3*z + 49*m**2*z wrt m?\nAnswer: -12*i*z - 1362*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34492*z + 34492*z - 4 = -4*r, 5*z - 2*r - 83 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:45 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + 1 + (-77)\/21. Which is the closest to 2\/19? (a) 2\/11 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -581501\nAnswer: 5\/581501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) -93 (c) 1\/8 (d) -0.03 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 131*g. Let x(n) = -3*n. Determine x(c(b)).\nAnswer: 3*b**2 + 393*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/5 - 139*o**2\/5 + 28*o = 0?\nAnswer: -140, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t + 1. Let j(k) = 2. Let c(q) = -24*q + 11. Let i(l) = -c(l) + 4*j(l). Let m(h) = -13*b(h) - 6*i(h). Let p be m(0). Are p and 5 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b. Let r(w) = -2*w. Let j(p) = 6*m(p) + 17*r(p). Let s(x) be the second derivative of -x**3\/3 + x. What is j(s(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, g: 2, d: 2, k: 2, m: 1}. What is prob of sequence bk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 240, 851, 2050, 4035?\nAnswer: 7004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + -4 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835.4286 less than -0.4?\nAnswer: -1835.8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*u**3 + 1962*u**3 - 975*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -2*t**2 + 2 + 0*t + 1\/2*t**4 + 0*t**3. What is the second derivative of l(f) wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16277*t + 16277*t - 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (4 - 0\/7). Solve l + 14 = h*l + f, 17 = 4*l + 3*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33226 and 60615.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.8 - -13.8. Let c = -7 - -11. Let z = c + -15\/4. What is the nearest to -2\/3 in -1, y, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540 (base 6) to base 16.\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/105)\/(4\/6 + 0). Let u(o) = -9. Let f(p) = p + 1. Calculate k*f(v) + u(v).\nAnswer: -v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 13)*(1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00165190127 rounded to 7 dps?\nAnswer: 0.0016519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose 2*u - 4 = d - 0*u, -2*d - z*u + 16 = 0. Solve -d*b = -4*y - y, y - 2*b = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17062170?\nAnswer: 2, 3, 5, 197, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.8068 - -11711.4068. What is o rounded to the nearest one hundred?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 18*f**2 + 62*f - 2. Let z(w) = -10*w**2 - 30*w + 1. Calculate 3*l(r) + 5*z(r).\nAnswer: 4*r**2 + 36*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + i**3 - i**3 + (-3*i + 0*i + 5*i)*(-2*i**4 + 0*i**4 + 3*i**4) + 8*i**5 - 6*i**3 + 6*i**3.\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p*(p**0\/p)\/p*p)\/(p**3\/p**(-3\/4))*(p*p**0*p)**(-2\/5)*p**5*((p**(-4\/7)*p)\/p)\/p*p assuming p is positive.\nAnswer: p**(263\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4959\/76 - 1\/4. Let n = -61 + m. Suppose -8*j + 13412 = -n*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000835 to seven dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.04 - 0.04. Let s = 0.47 + -0.5. Let p = s + -0.07. Which is the nearest to p? (a) -4 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzgz when four letters picked without replacement from {g: 2, h: 3, p: 8, y: 5, z: 2}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -335 + 350. Solve -r = 21*v - 16*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239176973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*g = -0*i + 37, -3*i + 4*g - 8 = 0. Let t be 8\/3*9\/i. List the prime factors of (2\/6)\/(t\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(102)\/(sqrt(6) - sqrt(96)) - -1*sqrt(1088))**2 - sqrt(85)\/(sqrt(5) - -4*(sqrt(5) + sqrt(10)\/sqrt(2)))).\nAnswer: -sqrt(17)\/9 + 9011\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19293.\nAnswer: 3, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1554, -3154, -4788, -6456, -8158?\nAnswer: -9894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q - q**2 - 2*q**2 - q**2 + q**2 + (-1 + 4 - 2)*(1 - q**2 - 1) + q**2 + q**2 + 2*q**2 + (-3 - q + 3)*(6 - 5*q - 6).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 48*i. Let v(h) = 73781*h**2 - 4*h. Determine q(v(r)).\nAnswer: 3541488*r**2 - 192*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*-3*(-542)\/2439.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2697 is divided by 299.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-508*h**2 + 508*h**2 + 70*h**4 + (0*h + 3*h + 0*h)*(8*h**3 - 12*h**3 - 17*h**3))*(-3*h + 5*h - 3*h).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 13*k - 55. Suppose -4*a + k*w = 0, -8*w = -a - 6*w. Solve 0 = -3*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 yth term of 160, 183, 244, 361, 552, 835, 1228, 1749?\n\"Answer: 3*y**3 + y**2 - y + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 5*u**4\/8 + 113*u**3\/3 - 2*u**2 + 367*u + 4. Give p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-23))**(-2\/113) assuming t is positive.\nAnswer: t**(46\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877420491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.175, -1\/6, -1\/11, 0.3, 0.02, -59?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 + -6. Which is the nearest to 0? (a) -1 (b) 2\/19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1097\/610?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 2, -2, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497\/(-1704)*-9*3\/63.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 4 - 4)*(d + 0 + 0) - 2*d**4 + 0*d**4 + 4*d**4 + 4*d**4 - 3*d**4 - 3*d**4 + (8*d**3 + 4*d**3 - 6*d**3)*(-2*d - d - d).\nAnswer: -23*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 156 = 2*h. Suppose 0 = -2*c - h*u - 2*u + 520, 4*c + 3*u - 1085 = 0. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4627.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1089 + -980. Suppose 0 = 4*m + m - 50. Calculate the remainder when d is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {e: 1, k: 7, p: 2}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeeejj. Give prob of picking 3 e.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1673 - -4630. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 692 * -0.5.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l - 2512. Does 12 divide l\/(-26) - (-2)\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 + 148*t**4 + 708*t**3 + 1256*t**2 + 970*t + 276.\nAnswer: 2*(t + 1)**3*(t + 2)*(t + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) - (sqrt(825) - 2*sqrt(825)*-2 - sqrt(825)))\/(4*sqrt(33)\/(sqrt(9)\/sqrt(3))).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -86\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = -9*f. Let b(k) = -3*k + 5*k + 9 - 4*k. Let i be b(f). Solve 4*w + 5*c = c - 12, i = 5*w - 3*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 32*t - 8. Suppose t*n - 2982 = -758. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 323*b + 171*b + 11856 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*b + 14 = 0, -2*m - 2*b - 9 = -21. Solve 3*s - 4*x - m = 0, -4*s + 2*s - 24 = 5*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4426 or -4432?\nAnswer: -4426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**2 + w - 10. Let j be t(3). Calculate the highest common divisor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3924 + -3790. Calculate the smallest common multiple of c and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3283\/(-469) + ((-855)\/(-24))\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-2635)\/(-124)))\/(3\/(-45)*-28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from app.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 + 0*c**3 - 2*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 21?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 2*f - 10*f - 8*f + 0*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -34. Let i be (t\/2)\/(-3 - 62\/(-30)). Let m = -3\/28 + i. Which is the nearest to -5? (a) -1\/4 (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 7\/2*w**2 - 1\/2*w - 3 = 0.\nAnswer: -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -867122.9959 - -867053. Let z = -62 - -132. Let h = v + z. What is h rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -20, 5 in descending order.\nAnswer: 5, -2\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-6)*t\/((t\/(t\/(t\/t**(-2\/9))))\/t*t)*t\/(t\/(t*t**(2\/19)*t)))**(-28) assuming t is positive.\nAnswer: t**(19712\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9123.417g to micrograms.\nAnswer: 9123417000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12*9\/(-36)*(-560)\/(-3640)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 690861309008509\/328 - 2106279490589. Let p = 4988103 - i. Let o = p + 117\/41. Find the common denominator of o and -47\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2205204 and 501924?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6647 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-36)*4*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 168, 172, 178, 186, 196, 208?\n\"Answer: p**2 + p + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*w - w - 18, -5*l + w = 6. Let z be l\/4 + 44\/48. Let t = z + -1\/4. What is the third smallest value in t, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/3 - 2*k**2 - 4*k + 2. Let r(s) be the first derivative of q(s). What is the derivative of r(h) wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = -3*v, -2*v - 4 = -r + 6. Suppose 4*n = r*n - 84. Let a = 3 + 5. What is the lowest common multiple of a and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 14 - 10)*(2 - 6 - 3)*(-3*x**4 - 2*x**4 + 3*x**4) in the form k + j*x**2 + f*x**4 + y*x**3 + r*x and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 767900 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/(12 - (-460)\/(-40)). Sort k, 5\/2, -14\/15 in decreasing order.\nAnswer: 5\/2, k, -14\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.03 (c) -17 (d) -0.07 (e) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:57 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*y - 64*y - 54 = 0. What is the closest to -0.5 in 4, y, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 + 579 - 1161 + 576.\nAnswer: 14*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6754*h**4 - 13*h**3 - 17*h**2 - 2048*h - 2585.\nAnswer: -81048*h**2 - 78*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -2 (c) 4\/45 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((76\/(-171))\/((-12)\/(-18)))\/(5\/(-255))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86322750 or 86322753?\nAnswer: 86322750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 680 = 3*u. Let l = -87 + u. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*7\/(-21) - 260\/(-6). Suppose -5*k + 0*k + 515 = 0. Let d = k - x. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1)*(-1 + 0). Let o be (-6)\/(-26)*2\/n. Let w be 4\/10 + 2\/70. Which is the smallest value? (a) -0.2 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1597a6a (base 12) to base 15\nAnswer: -5c7a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6763191 millennia?\nAnswer: 8115.8292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15109*d + 48 = -15125*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586012574?\nAnswer: 2, 7, 281, 148961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -8 + 3. Suppose 198 = f*p + p. What is the derivative of 6*q**4 - p + 80 - 38 wrt q?\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17c85 (base 16) to base 10\nAnswer: 97413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 + 5*t**4\/12 - 3*t**2\/2 - 9*t. What is l(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 9*r + 72 + 27*r.\nAnswer: 18*r + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13405 + 47178 = 80*d + 12583. Solve 586 = 7*i + d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1244 + 1716*f**2 - 11967*f**2 + 434*f**2 - 7*f + 7*f wrt f.\nAnswer: -19634*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12\/601 + -493\/5409. What is the closest to 1 in -11, t, -20?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/50 + ((-51)\/(-10) - 1). Solve 28 = -j*p - 3*h, -h - 8 = -p + 2*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 79. Let n = -13\/84 + -2\/21. Which is the third smallest value? (a) 3\/5 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Let k = -1 - -2. Let c = 1 + k. Let l(h) = -h**c - h**2 + h**2. Give f(l(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -5 (c) -1 (d) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1409? (a) -3.4 (b) -0.2 (c) 1 (d) -1 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*a - 368*a - 749*a = -1653*a - 114128 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 1570 + 1604 + 4*h.\nAnswer: 3*h + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 7*a - 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 6206?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 408333*m - 816675. Calculate f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076294788?\nAnswer: 2, 269073697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3443, 10254, 17071, 23894?\n\"Answer: 3*w**2 + 6802*w - 3362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 52, 4, 133 in descending order.\nAnswer: 133, 52, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12849355\/16 - 802468. Let x = f + -622. Calculate the common denominator of -107\/20 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - 35*f + 27 = -378 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/5)*h**(-3\/4))\/(h*(h**(1\/4)*h)\/h*h*h*h*h**7)*((h**7*h)\/h*h**7)**(21\/4) assuming h is positive.\nAnswer: h**(621\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07389 plus 1080531563?\nAnswer: 1080531563.07389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29620 is divided by 588.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - -55)*158\/28 + 12?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 - 17 + 16*u**2 + 23.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0906 times 0.5\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(21)\/sqrt(3) + 2))**2 + ((sqrt(21)*-2)\/sqrt(3)*-1)**2 - (2 + -4 + 3 + 1 + sqrt(847)).\nAnswer: 5*sqrt(7) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/(-21))\/(3\/9). Let x(c) = 13*c**2 + 10*c - 11. What is the tens digit of x(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 22*q**2 - 19*q - 37. Let h be i(21). Suppose -4*x + 350 = -b, -6 + 192 = 2*x + h*b. Does 44 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -13\/18419 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**4\/4 - 2*i**3\/3 + i**2\/2 - 3*i + 188. Let y be l(-4). Solve -5*d + a = 6*a + y, -5*a = 4*d + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -0.3?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-1 - -2) - 3. Suppose -4*r = -4, -2*f + r - 5*r + 18 = y. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497\/6 greater than 584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 12 = -4*w, 836*n = 835*n + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210*q**3 + 982 with respect to q.\nAnswer: 630*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.2876138 to 2 dps.\nAnswer: -40.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5211899.\nAnswer: 7, 11, 113, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -627 - -626.8. What is the fourth smallest value in 0.5, 2, r, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 12 + 5*v - 8 + 2 - 32*v.\nAnswer: -27*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48799 is divided by 448?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -472553, -944941, -1417323, -1889699?\nAnswer: -2362069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/t**(4\/5)*t*t*t*t)\/t)\/t)\/t**(-7\/4))**(-47)\/(t*t*t\/t**3*t*t*((t*t**4)\/t*t)\/t*t)**49 assuming t is positive.\nAnswer: t**(-11513\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789942415 to the nearest integer?\nAnswer: 28106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5476 = 4*b - 25368. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 6. Let w(a) = -3*a**2 + 3*a - 6. Let d(s) = -4*s**2 + 0*s**2 + 6*s**2 + 5 - 2*s. Give k*d(p) + 3*w(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2}. What is prob of sequence rd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24664 and 98.\nAnswer: 1208536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f - 17. Let l be h(4). Solve -y + l*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.9*-0.046887.\nAnswer: 2.6678703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (-75)\/12) + (-4657)\/36. Let f = -129 - i. Does f = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -34. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77123.1 to the nearest one hundred.\nAnswer: -77100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 4314 - 1014 = 0. Which is smaller: 57 or b?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8027 is divided by 107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 45141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46765365?\nAnswer: 3, 5, 19, 164089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {k: 1, c: 1, w: 1, o: 2, i: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/140)\/((6\/7)\/(-2))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6934.347mm to nanometers.\nAnswer: 6934347000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*w**2 - 6670*w**3 + 209*w**2 + 7.\nAnswer: -6670*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 4. Let b be l(5). Let y be ((-31)\/4340*21)\/(-27*4\/10). Is y >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187248034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 1622*z**2 - 11397*z - 9774.\nAnswer: (z - 1629)*(z + 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(((-231)\/(-1540))\/(15\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10079 + 10112. Let c(h) = h**2 + h - 3. What is the smallest common multiple of c(5) and r?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 87265288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10368627, -4, 23 in ascending order.\nAnswer: -4, 23, 10368627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2 + 4 + 47*h**2 - 4*h + 11*h. Let d(m) = 23*m**2 + 3*m + 1. Let l(u) = -5*d(u) + 2*s(u). Let o be -8 + 1 + (-192)\/84 + (-754)\/(-91). Give l(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17524 and 14?\nAnswer: 122668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -763512*y + 763512*y - 14590*y**2 to the form x + m*y + h*y**2 and give h.\nAnswer: -14590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.3 (b) 0.1 (c) -4\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(171) + -2)**2 + (sqrt(19) + 0)*5 + 1*sqrt(19) + -4)*-6.\nAnswer: -4177 + 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 1. Let v be x(3). Let f be (1\/(4\/v))\/(-2) - 0. Does -1\/24 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {v: 1, p: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*6\/(-12)*(-14)\/6. Let g(i) = -9 + 9 - 8*i**2 + v. Let d(k) = k**2 - 1. Let h(q) = -35*d(q) - 5*g(q). Let l(m) = 10*m**2. Determine l(h(w)).\nAnswer: 250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 93238*p\/9 - 186484\/9.\nAnswer: 2*(p - 2)*(p + 46621)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -127084, -127176, -127336, -127570, -127884, -128284?\n\"Answer: -b**3 - 28*b**2 - b - 127054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -115, 0, 0.12?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r - 9*r + 8*r)*(3649*r**2 - 1819*r**2 + 75 - 1820*r**2) to the form b + d*r**2 + p*r + v*r**3 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490 + 160. Let j = -114 - q. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32928214?\nAnswer: 2, 11, 136067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 34*o**2 + 2*o + 34.\nAnswer: -2*(o - 1)*(o + 1)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 4 - (1 + -3). What is the units digit of u\/(1*3\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9398 - 41368 - 57520 - 13*n.\nAnswer: -13*n - 89490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69 and -33.0997.\nAnswer: -102.0997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/3, 1, 4\/189, -2\/9 in decreasing order.\nAnswer: 1, 4\/189, -2\/9, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27989 is divided by 6995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 102 - 223 = 0. Let x be s\/(-10)*(-8)\/10. Let c = -13 - x. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86.016 + -0.016. Let c = y + -69. Let o = -16.6 + c. Sort 2\/11, 0.02, o in descending order.\nAnswer: o, 2\/11, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6206 - -4.3794. Let r be -2 + 13*2\/16. Which is the second biggest value? (a) 3 (b) s (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 8*s**2 + 8*s + 1. Let l be w(9). Let h = 12 + l. Sort 0, 0.5, h in increasing order.\nAnswer: 0, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.4. Let a = 170 + -515\/3. Let o = a + 41\/21. Are i and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 12*a - 12. Let f be q(5). Let o = 69 - 71. Let w = f + o. Sort 2, w, 3.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 136?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*a**3*d*s**3 + 10*a**3*d*s - 26*a**3*s**3 + 8*a**2*d - 29*a*s**3 + 73*d*s wrt a?\nAnswer: 444*d*s**3 + 60*d*s - 156*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g**3 - 5*g**2 - 5*g - 2. Let c be w(-4). Let o = -293 + c. Suppose 0*b - 124 = -4*q + 4*b, -o = -5*q + 3*b. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 70 - (13 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5047332 is divided by 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 12, -90 in decreasing order.\nAnswer: 12, 3, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-g + 2*g - 4*g)*(-1 + 4 + 0)*(2*g**3 - 5*g**3 + 2*g**3).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 22*r**2 + 3*r - 2. Let v be y(1). Let n = -19 + v. Suppose -f = -n*z - 1 - 3, -5*z - 26 = -3*f. Is f < 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 75\/24 - (-4)\/(-32). Suppose -d*t = -0*t - 9. Suppose t*w + 42 = 114. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1823 + 4?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + 5*o + 10. Let h be -4 + (2\/(-16) - 2\/(-16)). What is the units digit of y(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1435 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + 1256\/8112. Let r = 2\/169 + b. Suppose -1\/4*h**4 - r - 5\/4*h**3 - 9\/4*h**2 - 7\/4*h = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020211202 (base 4) in base 10?\nAnswer: -821602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1209 + -902. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1504)\/2)\/((-12)\/(7 + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 204 = -4*n, -2*h - 9*n - 382 = -4*n. Let s = h - -202. What is the greatest common factor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.195978.\nAnswer: -0.295978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623.56134 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgizgeifefgze. Give prob of picking 1 i and 2 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 5 + 4 + sqrt(98) + -1)**2.\nAnswer: -648 - 448*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 106*z - 158. Is 69 a factor of k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/17787 and -101\/145200?\nAnswer: 7114800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*a**3*u**2 - 2347*a**3 + 5*a*u**2 + 4*u**2 wrt u?\nAnswer: -42*a**3*u + 10*a*u + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 9. What is the remainder when 50 is divided by w(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1 - 2a2158?\nAnswer: -2a2209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**8\/84 + 2*z**7\/35 + z**6\/30 - z**5\/5 - z**4\/3 - 3*z**2. Solve m(r) = 0 for r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 40 = 13*r. Let q = 16 + -8. Calculate the greatest common factor of q and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y + 2*y + 3*y. Let r be p(1). Which is the closest to r? (a) 5\/4 (b) 2\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -1517?\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*v - v**3 - 4*v**3 + 3*v**3.\nAnswer: -2*v**3 - 161*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f - 1377 = 6*f - 971 + 784 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392736 = -151*a + 156602. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 + -2 + 2) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5588057000 to the nearest one million.\nAnswer: -5588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369252, -738509, -1107766, -1477023, -1846280?\nAnswer: -2215537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1342731 and 41\/192.\nAnswer: 85934784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10320 (base 9) to base 8\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22 + 18 = 0. Let u = -4 - -7. What is the least common multiple of r and -32*(u + -1)\/(-4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 16, -5*c = 2*t - 3*t - 24. Suppose -4*k = -0*k - 12. Let w(b) = -c + b**k + 0*b**3 + 4 - 4*b - 4*b**2 - 1. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105672 + 255467. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*j - 22686 = -37840 + 4580 - 69634 for j.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 51. Let g = b - -56. Put -1\/2, -0.1, g in ascending order.\nAnswer: g, -1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 2. Let a(t) = -t**2 + 5*t + 3. Let d be a(6). Suppose -4*w - 7 = -3*w. Let x(m) = -4*m + 5. Give d*x(r) + w*i(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-15)*y)\/y)\/(y*y**(-2\/131)) assuming y is positive.\nAnswer: y**(-1963\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.4 (c) -64 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 25 = -t + 3*l, 3*t + l + 65 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/(3\/(-2 - 25)). Let d = -94 - 297. Let h = d - p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/225 and -6\/104173.\nAnswer: 23438925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhwhwhh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Let f = p - 0.2. Which is the closest to 0.1? (a) -2\/5 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:05 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 (base 8) in base 15?\nAnswer: 2e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 907 + -108. Suppose -5*i + 531 = -t. List the prime factors of i.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 2*b - 1. Let u be x(2). Let m = 19 + 0. Solve -2*r - u*o + m = 0, -6*r + r - 10 = -4*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14606 - 8103. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*q - 2 = 7, 2*q + 7 = 3*n. Let v(c) = -7*c - 3. Let h(g) = 14*g + 7. Let s(t) = n*h(t) + 7*v(t). Let m(d) = -2*d**2. Calculate s(m(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, -18, -1\/7, -0.2, 4, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721011, -5768127, -19467439, -46145043, -90127035?\nAnswer: -155739511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 7*h. Let n(x) = 17*x**2 - 1. Let y be n(-1). Let u(b) = -20*b + 333 + 22*b - 371. Let g be u(y). Calculate c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 72*q**2 - 146*q + 163. What is o(-74)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262363 and 2166300.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -741 - -744. Solve 0*a + 2*a = -3*x - 15, -3*a + 2*x - k = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130.0157 + 130. What is c rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20699*k - 7137. Let v(c) = 6903*c - 2378. Let i(b) = 4*n(b) - 11*v(b). Find the first derivative of i(z) wrt z.\nAnswer: 6863","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.131 - 0.074. What is the biggest value in 1\/4, w, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -6 - 12. Suppose -4*u + 1071 = k*n, 0 = -n - 5*u + 349 + 19. What are the prime factors of n?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -342, -1358, -3044, -5394, -8402, -12062?\n\"Answer: r**3 - 341*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-75))\/(52\/650).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3))**17*w**8\/(w\/(w\/w**0)))\/(w**(-7)*w\/w**(-1\/7)*(w**1)**10) assuming w is positive.\nAnswer: w**(557\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -17.8. Let u = w - -23. Let f = -2 + 2. Which is the nearest to -1? (a) f (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -830 + 832. Let p(d) be the second derivative of -d**j + 0 + 7*d - 2\/3*d**3. Find the first derivative of p(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15300 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 7. Let y(b) = b - 1. Let z(c) = f(c) + 4*y(c). Suppose 4*u - 2*u = 4*t + 12, -3*t = u + 19. Calculate z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555114859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/((-5)\/(-60)). Calculate the greatest common factor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649430500 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppssbpbpsitpssitstp. What is prob of sequence spb?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/21 + -29\/84. Let h = -26.8 + 26.6. Which is the closest to h? (a) v (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -5, 2\/5, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1539) - (sqrt(1539) + -1))*6 - sqrt(1539)))**2.\nAnswer: -972*sqrt(19) + 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-4 - (-7 - 2)). Let x be 2\/8 + 211\/u. Let c = x - -8. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -14 (b) -2 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/15, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -4, 2, 107, 3, 253 in descending order.\nAnswer: 253, 107, 3, 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4698\/(-870))\/(15\/(-50)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -138 and -9.07.\nAnswer: 1251.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 8*z**2 + 6*z + 3. Give y(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s**3 - s + 8278*s**2 - 9 - 8278*s**2)*(s**2 + 2 - 2).\nAnswer: -13*s**5 - s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260430229 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 1)*(-19*m - 116 + 116)*(-1 - 1 + 4)*(13*m**3 - 11*m**3 + 18*m**3).\nAnswer: -3040*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 163 divided by 1127\nAnswer: 163\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30)*-1*27*420\/63\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.975469861 to one decimal place.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9 = 5*u - 0, 2*y - 5*u - 12 = 0. What are the prime factors of 5 - 12\/(-4*y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148841 to the power of 1\/2, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(13) + sqrt(26)\/sqrt(2)))**2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Suppose -m*b - 6 = 0, 6*l + 4*b = 4*l + 578. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582800622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {c: 3, d: 5, a: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72339.61 decades to months.\nAnswer: 8680753.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 + 185. What is the third derivative of -2 - 5*t**2 + 9*t**5 + 10*t**3 - 12*t**5 + q + 6*t**5 wrt t?\nAnswer: 180*t**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 3*i**2 - 6*i**2 + 2*i**2. Let d be ((-2)\/(-2) - 2)*-1. Let p(r) = 6*r - 3. Let g(k) = k - 1. Let m(y) = d*p(y) - 3*g(y). Calculate m(s(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 494247.1102 - 454078.112. Let n = -40173 + y. Let m = n + 4. Round m to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -48. Let g(j) be the first derivative of -1\/5*j**5 + 0*j**2 + q*j + 0*j**3 + 1 - 1\/4*j**4. Factor g(i).\nAnswer: -i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 8*f - 14. Calculate a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9574685*0.5.\nAnswer: 4787342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7006 times -0.4?\nAnswer: -0.68024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/8 - 285*v\/4 + 27075\/8 = 0. What is v?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**18)**(2\/41)*(q*q*q**18*q)\/((q**3\/q)\/q))**(2\/39) assuming q is positive.\nAnswer: q**(1712\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -5\/3 (b) 53 (c) -0.2 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 2*l**2 - 7. Let x = 0 - 3. What is the units digit of d(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442035.\nAnswer: 5, 488407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -18*t**2 + 11 + 19 - 3*t - 3*t**3 - 6*t = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 + 7*k - 21*k + 14*k.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71\/189 - 40\/27. Find the common denominator of 57\/10 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 + 2*o**2 + 12*o**2 + 38*o**2 as u + q*o**2 + x*o and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/19, -5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 321047851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74325.06 kilometers?\nAnswer: 74325060000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22220 divided by 404\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11934 and 64584.\nAnswer: 1097928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -40?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225246420?\nAnswer: 2, 3, 5, 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 421, 1058, 1889, 2914, 4133, 5546?\n\"Answer: 97*u**2 + 346*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -55123 - -100099. Suppose 4*y = 27*c - 29*c - 89944, y + q = -c. Round c to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + 2*v. Let y be u(-2). Find the second derivative of -3*f + 5*f**3 - f + y*f wrt f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**3 - 6*y**3 - 12*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-102))\/((-194)\/5820). What is the biggest value in k, 2\/5, 0.74?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834483595 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 176960137.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 - -178.9. Let j = a - -9. Let y = 1 + -2\/3. Sort j, y, -5 in decreasing order.\nAnswer: y, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:07 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2632862.07 and -197?\nAnswer: 2632665.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let f = -17 + 19. Put -3, f, s in descending order.\nAnswer: f, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1.7. Put g, 12\/11, -5, -1\/4 in decreasing order.\nAnswer: 12\/11, -1\/4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21495 by -5.\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2816) + -1 + sqrt(2816) + sqrt(2816))*5*-1*-1)**2.\nAnswer: -21600*sqrt(11) + 5702625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Let k be 61\/21 + (-3 - t). Let q = -711 + 708. Which is the closest to k? (a) q (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 - 238665135*p + 238665132 = 0.\nAnswer: 1, 79555044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**9\/2880 - o**8\/10080 + o**6\/720 + o**5\/30 - o**2. Let i(n) be the third derivative of k(n). Is 20 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7973 - -148194. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(30\/(-6))*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237573669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-101)\/(32825\/390).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fvfvfffvtftvff.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5458 + 2*t**2 + 3*t**4 - 10*t**3 - 9*t**2 + 21*t**3 + 5455 - 10*t**3 as x*t**3 + j + y*t**2 + n*t**4 + m*t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-9)\/60)\/(6\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 3) + 4 + -19\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {a: 1, w: 5, d: 3, r: 3, i: 1, j: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-32))\/(2\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 1152*z**2 + 110592*z + 3538944.\nAnswer: 4*(z + 96)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1419404 and 1013860?\nAnswer: 7097020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 147702038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/255*(-885)\/3658.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2989*g**3 - 2073 wrt g.\nAnswer: -8967*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + 64. Calculate the common denominator of 1 + 214\/(-24) - 1 and i\/(-32) + (-2)\/(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*d = 375, h + d - 135 = 4*d. Let x(w) = 4*w**2 - 1. Let g be x(-2). Calculate the greatest common factor of g and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204777.\nAnswer: 421, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 9*f**2 - 7*f + 3. Let m be -1 + 12\/(-6) + -5. Calculate d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6*2))\/((-3)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1501310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -529 at least as big as 16788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-7)\/3)\/((-20)\/(-30)))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*p - 86*p - 112*p - 16*p - 5*p.\nAnswer: -517*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**2 + 10*t + 16*t + 3 + 11*t**2 + 3*t**2. What is the hundreds digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55465 divided by 5\nAnswer: 11093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-2\/65))**7 assuming w is positive.\nAnswer: w**(14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(269\/4842)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhrhrhrrhhrr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 10:40 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.24 (c) 0.05 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -343, -1239, -2983, -5857, -10143?\nAnswer: -16123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 489\/315 - (-990)\/(-770)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 20*z + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 12*o**2 + 31 - 31 + 13*o**2 - 7*o**3 to the form l*o**3 + k + y*o + p*o**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2657a (base 16) to base 2\nAnswer: 100110010101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420) - ((sqrt(2420) - sqrt(2420)*-2) + sqrt(2420)))\/(2*sqrt(1210) + sqrt(1210)) + -4 + -4.\nAnswer: -8 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16958 is divided by 499?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 759450012 + -269922917. Let x = 489527065.0000003 - q. Let g = 30 + x. Round g to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.00853 + -0.50853. Which is the closest to -1? (a) -1\/9 (b) p (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020709 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28578 and 45465.\nAnswer: 1000230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/64920 and -73\/17628?\nAnswer: 95367480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 65*h - 8 - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96900728 divided by 28771?\nAnswer: -3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -1823, -2744, -3683, -4646, -5639, -6668, -7739?\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*f - 3*f. Which is greater: -1\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*u**2 + 98486*u - 8923486 wrt u.\nAnswer: -60*u + 98486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -213, -664, -1531, -2952, -5065, -8008, -11919?\n\"Answer: -23*o**3 - o**2 - 9*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 6 + (1 + 2 - 2)*(5 - 1 - 2) - 11 + 8 - 15)*(8*m - 5*m + 25*m).\nAnswer: -560*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:31 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 28 + 28 = 0. Suppose 5*p - 269 = -0*w - w, -w - 2*p + 266 = b. Let l(t) = 264 - w + 2*t**2. Let c(j) = 6*j. Determine l(c(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 791*m**2 + 6323*m\/2 - 10.\nAnswer: (m + 4)*(1582*m - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2015279.\nAnswer: 7, 31, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6 - 9*k**2 - 2*k**3 - 3*k**3 + 2*k**3 + 2*k**3. Let r be -2*1 + 7\/(-1). Let v be t(r). Calculate the highest common divisor of 48 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - m - 8. Let o(r) = -5*r**2 + r + 7. Determine 5*o(f) + 4*x(f).\nAnswer: -f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/19))**28)**(-8\/9) assuming o is positive.\nAnswer: o**(-3584\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12988.\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624060.\nAnswer: 2, 5, 131203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1110408839.1 to the nearest ten thousand.\nAnswer: 1110410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000463857 to 7 dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2178.437077 and 5?\nAnswer: 2183.437077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 782432 and 632884?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 7*j**2 - 9*j - 12. Let b be n(-6). Let k = 6 + b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:53 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {v: 1, l: 2, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 300 and -829504883.137.\nAnswer: -829504583.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861, -857, -853, -849, -845, -841?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 266\/7514079?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-28))\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 343 + 343 - 6*c + 836*c**2.\nAnswer: 836*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(324) + sqrt(324) + (2*sqrt(324) - sqrt(324)) + sqrt(324)) + sqrt(66)\/(sqrt(18)\/sqrt(3)) + 4.\nAnswer: 37*sqrt(11)\/36 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*r - 4*g + 6*g, -1621*r = -1634*r - 5*g + 64 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - (-8)\/(-14). Let l(g) = g**3 + 9*g**2 + 16*g + 5. Let i be l(-7). Let c(j) = -j - 7. Let f be c(i). Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15244399, 30488798, 45733197, 60977596?\n\"Answer: 15244399*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/141 or 1?\nAnswer: -4\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 0*n = 2*n - 22, -3*n = -3*w - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 266\/28)*(-1 + 1). Put 25, -6, j, -2 in decreasing order.\nAnswer: 25, j, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2977807 - h**2 - 1121*h - 2977807 to i + f*h**2 + x*h and give x.\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17543.001 nanoseconds in minutes?\nAnswer: 0.00000029238335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/7 + 71902*i**2\/7 + 935292*i\/7 - 8199792\/7 = 0.\nAnswer: -19, 6, 35964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31214?\nAnswer: 2, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14033 and -0.143?\nAnswer: 2006.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -372.303 - -636.3125. Let y = -264 + z. What is y rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*h - 883590, -1019872 + 3228876 = 5*h + 2*t. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432.6707 rounded to zero decimal places?\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184802 = -16*k + 196210 - 127588. Does 89 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 10*x + 1. Let k be o(-10). Let d = -0.3 + 0.34. What is the closest to k in 4, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1831787565 and -496.\nAnswer: -1831788061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x + o, 0*x + 4*o = -4*x - 56. Let f be (-5)\/(-2)*(-112)\/x. What is the highest common divisor of 84 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74\/3 + 25. Suppose -5*c + 302 = -w - 2*w, 3*c - 186 = 3*w. Let p = -57 + c. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 + 2*z + 4. Let r(p) = -10*p**2 + 3*p + 7. Let x(a) = 7*j(a) - 4*r(a). What is the remainder when 46 is divided by x(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*s - 6*s + 9*s)*(-4*s - 5*s + 5*s) + 0*s + 2*s**2 + 0*s as d + n*s + q*s**2 and give q.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 698507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 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 u*u**(-2\/5)*u**(2\/33)*u*u*(u*(u*u**(-2\/7)*u)\/u)**(-34)*(u**1)**(-2)\/(u\/(u\/(u\/(u*(u*u**(3\/8))\/u))*u)*(u*(u**(-5)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-473551\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -299115 (base 10) to base 11.\nAnswer: -194803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2299 = 3*m + 2*a, -3*m + 2304 = 19*a - 16*a. Calculate the least common multiple of 70 and m.\nAnswer: 7630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1121874920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -308 - -307.9. Let t = -6 + 5.5. Let h be 10\/(-42) - 3\/(-9). Put h, g, t in decreasing order.\nAnswer: h, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 31 = 5*i, -119*i + 10 = 2*l - 121*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29618 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:11 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4364*d**4 + 116*d**3 - 199465*d wrt d?\nAnswer: 52368*d**2 + 696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115612 (base 7) to base 4.\nAnswer: -11023222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + 14 + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2331 and 60039?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 1573074.\nAnswer: -34607628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(200) + sqrt(200) + (sqrt(200)*1 - sqrt(200)))*1 + sqrt(200))\/sqrt(8))\/(((sqrt(405) - -1*sqrt(405)) + sqrt(405))*-6))**2.\nAnswer: 5\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-8)*(2 - 6). Let x(n) = -5*n**3 - 2*n**2 - n. Let w be x(-1). Suppose -495 = -w*v - v. What is the highest common divisor of v and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6663206 decades to months.\nAnswer: 79.958472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170479472183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 152, 320, 500, 698, 920, 1172, 1460, 1790?\n\"Answer: u**3 + 161*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615\/7 + 87. Let a = -8 - -7.995. Let u = a - 0.095. Which is greater: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + p**5 + 0*p**5 + (14*p + 2*p**4 - 14*p)*(4*p - 3*p + p).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from uaxxuli.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497250 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/96 and 89\/16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 f, and 1 c when four letters picked without replacement from {l: 3, o: 5, f: 1, t: 1, d: 2, c: 1}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 475 = -361 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i. Suppose i*k + 74 = 2*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599213 a multiple of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 475745 - 1?\nAnswer: 475744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0 + 1\/120*j**6 - 7\/3*j**3 + 0*j + 17\/24*j**4 + 6*j**2 - 17\/60*j**5. What is the least common multiple of 12 and k(16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/126*-35*((-20)\/4)\/(-50)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*k - 285174 = 434*k. Let g = -522862\/33 - k. Calculate the common denominator of g and 2\/4 - (-194)\/60.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = -4*o + 9, a - 4 = -3*o. Solve o*d = -3*w - 2, -d - 5 = -w + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i)**30*(i*i*i**(-2\/15))\/(i*((i\/i**(-15))\/i*i)\/i) assuming i is positive.\nAnswer: i**(2938\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 235374172?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 293*v - 3176. Is 28 a factor of o(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = x. Suppose -x = t - 3*d, -8*t - 3*d - 64 = -3*t. Let s = t - -16. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:56 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:04 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from eeeeeezyjezeeeyeyzy.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 2*t**2 + 2*t + 158. What are the prime factors of i(0)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 32*d**2 + 16*d**3 + 4*d**4 + 2\/5*d**5 + 32*d - 3. Factor l(i).\nAnswer: 2*(i + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-875)\/40 + 44\/4 and 79\/3010.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25701 is divided by 201.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92642 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -699*b - 1209 with respect to b.\nAnswer: -699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*18\/2. Let n = t - 4. What is the derivative of u**4 + 3*u**2 - 3*u**n + 1 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*(-3)\/(-2) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -206, -237, -290, -371?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Suppose 0 = -16*u + 18*u - 10. Solve 26 = 4*n - u*b, -n - h*n = -4*b - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128265 = -2824*i + 495385 for i.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let q(b) = -6*b**2 - 472*b - 2. Determine q(z(r)).\nAnswer: -6*r**2 + 472*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z - 3\/20*z**5 - 1\/120*z**6 + 7\/24*z**4 - 2*z**3 + 0 - 2*z**2. Does 9 divide j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 71. Suppose 3*u - m*u = -6*u. Find the common denominator of 71\/45 and (-44)\/15 + u + 6\/30.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + f**3 + 0*f**3 + f**2 - 2 in the form w*f + i*f**3 + j + u*f**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*a = -14, -x + 5*a + 0 = -7. Let w = 326 - 321. Suppose 4*o - 90 = -2*f, 2*f = -o + w*f + 5. Solve -5*t - o = -3*s, x*t - 13 = -s - 2*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46ec9b (base 15) in base 6?\nAnswer: 200404402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + m - 6*m + 9 = 39, -3802*m + 3799*m + 3 = -7*w - 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 39. Suppose 5*d = -n + 19, v = 2*d + d - 4*n. Solve d*z - 11 = 3*l, 2*l + 6 = -z + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 123? (a) -5\/7 (b) 2\/27 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)\/y)**(-2\/57)\/(y*((y*(y*(y**(-2\/3)\/y*y)\/y)\/y)\/y)\/y)**(1\/20) assuming y is positive.\nAnswer: y**(11\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-345)\/(-23)*3\/30)\/((5670\/(-24))\/(-7)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7586.\nAnswer: 2, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 5*q = 52. Let j(g) = -5*g**2 - 9*g**2 + q*g**2. Let k(b) = 25*b. Give j(k(x)).\nAnswer: -625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 41, 63, 85?\n\"Answer: 22*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -78 in increasing order.\nAnswer: -78, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2427230 and 1040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 3, w: 8, o: 1, m: 4}. What is prob of sequence mr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4836*y + 10460*y + 4865*y + 7047*y.\nAnswer: 27208*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 - 8*q. Let o(a) = a**3 - 17*a**2 - a + 1. Let x be o(17). Let p = x + 9. Let k be l(p). Solve -3*h - 5 = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 74*p - 89. Let k be j(4). Calculate the remainder when 26 is divided by (-118)\/(-649) - k\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1 (c) 0.4 (d) 2 (e) -0.07 (f) -96\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1246*v**2 + 388*v - 1?\nAnswer: -2492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 21 = -6. Let d be 1\/(3\/p) + 2. Let f(h) = -47*h + 2 + 46*h - 4. Determine f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 175758*r - 3690852. Calculate b(21).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633 by -211.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875811 (base 9) in base 12?\nAnswer: -429ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i - 678 + 5415 = -1143. Let j(k) = 13*k + 3. Let g be j(3). What is the highest common factor of g and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:53 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 38. Let v be z(-25). Suppose -4*u + v*y = 42*y + 26, -19 = 3*u + 4*y. Are -10 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*((4 + sqrt(245)*-3 + sqrt(245))**2 - (sqrt(245)*-2 + -5))*6*2 + -2.\nAnswer: -11760*sqrt(5) + 120118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h**2 + 11*h. Let k be s(-9). Let m(n) = -4*n - 3. Let c be m(-2). Suppose w + 4*a = 36, 3*w = -2*a + c*a + k. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11400\/32)\/((-10)\/120). Is -8549\/2 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 2626 = -u. Let o = u + -198. What is the greatest common divisor of o and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166151 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 1, n: 1, o: 1, f: 1}. Give prob of sequence teo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11110010011001110100 (base 2) to base 12\nAnswer: -3ba704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbbpobiabp. What is prob of picking 1 o, 1 i, and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7463 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383.158607 rounded to one dp?\nAnswer: 1383.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/8247 - 16504\/41235. Which is the closest to 15? (a) -4 (b) x (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (5 + -1 - 4). What is the hundreds digit of 114\/1 - 3\/(q + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 + -2350.287.\nAnswer: -2347.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2)*(-3 - -4). Suppose -1711 = -d - h*d - 3*p, 5*d - 5*p - 2165 = 0. Suppose -2*j - 2*u = -d, 0 = 6*u - 3*u - 15. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2)*(-s**3 - 2 + 2) - s**4 + 0*s**2 + 0*s**2 + 2*s**4 - 4*s**4 + s**4 - 117*s**4 - s - 132*s**4 + 213*s**4.\nAnswer: -39*s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1932078848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/1260*15)\/((-30)\/35)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 24\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138.9 + -139. Which is bigger: a or 0.198?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6*x + 11 = 2*x, 0 = -5*m + x + 29. Let y(i) = -i + 2. Let v be y(0). Which is greater: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o - 3 + 5)*(-12*o - 6*o - 6*o).\nAnswer: 48*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32638149?\nAnswer: 3, 293, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(2\/3) + -5. Let i = f - -14. What is the remainder when 10 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18\/13 - -116\/65. Let f = -134 - -137. Which is the third biggest value? (a) -2 (b) m (c) 2\/19 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 689*a + 262 - 130.\nAnswer: 689*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -426?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31616597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52799824.\nAnswer: 2, 7, 11, 17, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.349 + -4667.4?\nAnswer: -4672.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336 (base 7) in base 13?\nAnswer: -30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 - 41*y**3 - 110*y**3 + 4*y**3.\nAnswer: -130*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7744717 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7017 divided by 2339?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/28 - -8\/7. Sort 2, g, -4.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73615031 less than 24?\nAnswer: 23.26384969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -696 + -6?\nAnswer: -69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2753527557 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let m(q) = 10*q**2 - 3*q - 1. Calculate m(t) - 3*w(t).\nAnswer: 13*t**2 - 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-2))\/(6 - (10 - 6)). Let q(x) = -x**2 - x. Let g(u) = -2*u**3 - 18*u**2 - 18*u. Calculate v*g(o) + 36*q(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4023 - 2291. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**2 - 2*n**2 - 8*n**3 + 11*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 12*t**2 - 2*t + 1. Let f be q(-10). Suppose -3*r + 0*r + f = 0. Suppose 0 = 15*j - 12*j - r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450353254 (base 6) to base 7.\nAnswer: -126156106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(968))\/(sqrt(4) - sqrt(324)*-2))**2.\nAnswer: 242\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 85. Suppose 5*b - 7*b + 982 = l. Is 51 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from cheecczxeecezhech.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.4. Let v = -7.3 + 7. What is the biggest value in v, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 33\/9682?\nAnswer: 29046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 78*q - 75. Let l be d(-79). Solve -l*o = 3590 - 3606 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/5 - 28971128*n\/5 + 104915782199048\/5 = 0?\nAnswer: 7242782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c + 60. Let u be (1*2)\/((-10)\/c). Solve -3 + u = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150990088.\nAnswer: 2, 31, 608831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42\/40 + 10\/(-6) + 0 + 116\/174\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.41228l?\nAnswer: 15412.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 0 + 2 - (-1 - 0). Find the second derivative of -4*r**2 + k*r - 8*r**3 + 4*r**2 + 18*r wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802374.\nAnswer: 2, 3, 173, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 23*p + 19926 = 0. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2)*(8 - 7). Suppose -4*o = -p*o - 20. What is the units digit of 3*(-1 - 0) + o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11130*m**4 + m + 0*m**3 + 5570*m**4 + 5554*m**4 - 192*m**2 - m**3 to the form c + l*m**3 + k*m**2 + y*m + i*m**4 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 5*t - 41. Let a be h(-10). Is 16 a factor of (-890)\/(-7)*(a + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3*p**2 + 333*h**3*p - 892*p**2 wrt h?\nAnswer: 6*h**2*p**2 + 999*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b - 7. Let g(d) = -d**3 - 5*d**2 + 3. Let t be g(-5). Let u = 16 + -10. Calculate the remainder when c(t) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1651 divided by 13101.\nAnswer: -1651\/13101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 3. Let g(f) = f + 1. Let m be g(0). Let o be 18*(6\/(-9) + m). Calculate u(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.84641 - 0.6712. What is q rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6ad6 + -2?\nAnswer: 6ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 79921*c**3 - 719316*c**2 - 2157975*c - 4315977\/2.\nAnswer: (c - 159851)*(c + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 203546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261.5 + -150.2. Let l = c + 37.7. Do l and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + o - 1. Let g(w) = 72*w**2 - 2*w + 2. Let f(y) = -g(y) - 2*l(y). Let n(i) = -i**2. Give f(n(r)).\nAnswer: -70*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(128)*1 - ((-1 + sqrt(128))*3 - sqrt(128)) - (-5*(sqrt(128) + -1)**2 + ((sqrt(128)*1)**2 + sqrt(128) - sqrt(128) - sqrt(128) - sqrt(128))*5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**3 + 3 - 2*q + 2*q**4 - 3 + 3*q to a*q + u + o*q**4 + f*q**3 + z*q**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 26 - (-7 + 25 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose -3*l + 7*l = t. Suppose l*v = 2*o - 2*v + 4, -8 = 2*o - 3*v. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 times -368193?\nAnswer: -307072962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)*(-8)\/(-16). Suppose 12*k - 16*k + 764 = z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1. Let b(a) = -a - 11. Let u(p) = -4*b(p) - 44*o(p). Let j(d) = -7*d. Let v(k) = 13*k. Let c(y) = 11*j(y) + 6*v(y). Determine u(c(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 86*y**2 + 5082*y - 5082*y + 0.\nAnswer: -86*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-32)*-2*(13064\/(-71))\/(-23).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.049646988 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11265 + 9575247\/850. What is the common denominator of -11\/10 and q?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -0.3, 15786, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -0.02, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -341020218 divided by -170510109?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 693407106 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -831 + -183. Let a be (-1880)\/(p\/1750 + 44\/77). What is a rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5010)\/684)\/(-167)*(-3)\/5?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:37 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/1*(-4)\/(-2). Suppose 5*k - 12 = t, 0 = 4*i - 2*k + 16. Does 11 divide (i\/4)\/(2\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 6*m + 0*m + (-2 - 2 + 2)*(m + 0*m - 2*m) - 2 + 2 + m - m + 3*m - m - 2*m + 3 - 3 + 1 - 1 - m + (-2*m + 6*m - 2*m)*(0 - 1 + 0).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from {f: 4, e: 3, n: 3, q: 3, l: 3, a: 4}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 42*v**2 + 41*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/48 and -46\/981363.\nAnswer: 15701808","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3912725?\nAnswer: -15650900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48777 is divided by 16230.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-1*3 - (sqrt(27) + sqrt(135)\/sqrt(20)))\/(sqrt(144) + 2*sqrt(144)) + -5.\nAnswer: -5 - 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153) - (sqrt(153) + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5400\/28350)\/(0 + -2*3\/(-9))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 180, 197, 230, 291, 392, 545, 762, 1055?\n\"Answer: 2*t**3 - 4*t**2 + 15*t + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 779\/936 + (-6)\/(-39) and (-31)\/(8525\/(-100)) - 3*227\/88.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3 (c) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 7*l**4\/26 + 4*l**3\/3 + 20*l**2\/13 - 16*l\/13 - 10. Find c, given that m(c) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0409 != -908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 290, 2, 26080, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 2*w - 4. Give o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (110\/385)\/(4\/42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -0.5 (c) 2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + 2*a**4 - 4*a**4)*(-1 - 1 + 4) + 12*a**4 + 24*a - 24*a.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - 56\/12. Let z(x) = -x**3 - 4*x**2 + 3*x + 6. Let j be z(r). Suppose n - 346 = -330. Calculate the greatest common divisor of j and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2779010 and 40430.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -198, -439, -776, -1209?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -0.02. Let h = -77831308\/175311045 - -2\/385299. Let i = 1\/65 + h. What is the third smallest value in 2, i, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 36. Solve -2*z + z = i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340456 >= 3340447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhxxxh. What is prob of picking 3 x and 1 h?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129535216 take away 2.55?\nAnswer: -2.420464784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 12*w**2 - w - 29. What is the hundreds digit of q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1482613526 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1349.4777 minutes?\nAnswer: 22.491295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/4)\/(q\/((q*q\/(q\/(q\/q**0))*q)\/q*q)*q)*(q*q\/(q\/q**(-2\/3))*q)\/(q**(-4\/7)\/q) assuming q is positive.\nAnswer: q**(391\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 516 + 2050 = 0. Suppose u*q - 116*q = 160. Calculate the least common multiple of q and 88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 4. Let f be n(-2). Let w(s) = f*s + 6*s - 5*s. Let c(x) = 12*x**2. What is c(w(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2929077 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(8\/(-5))*(-27 - -29). Solve 3*d + 3 = i*j, 6*d - 3*j = 5*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 4. Suppose -d*a + 196 = -402. What is the lowest common multiple of 10 and a?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 50*a = -672 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 6*u - 5*h, 2*u = -h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*m - 576914 = -94*m + 55168. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:54 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*a = 12, 0 = -2*l - a + 2 - 4. Suppose 0 = 11*z + l - 56. Solve z*s + 19 = -0*m - 4*m, 4*m = 3*s + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 8*j**2 + 8*j + 1. Let a = -3 - 4. Determine t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/63 and 125\/72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37249 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: Calculate the common denominator of 199\/360150 and -191\/15198330.\nAnswer: 75991650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -4, 214, -27 in decreasing order.\nAnswer: 214, 3, 2, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10206 - 6056. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwwmmwdmdw. What is prob of sequence mwdm?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m. Let d be -2 + 3 + (-2 - 10). Let g = d - -12. Let u(s) = -1 - s**2 + 0 + g. Calculate u(o(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + 7*x**2 + 12*x + 16. What is the lowest common multiple of f(14) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455 is divided by 966?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 5) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(304).\nAnswer: 6 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**2\/2 + 2. Let q(v) = -14*v - 6. Let h(z) = 46*z + 19. Let s(p) = 3*h(p) + 10*q(p). Determine s(k(b)).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*136\/(-34034))\/((-1)\/((-28)\/(-8))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:08 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 12*q**2 + q + 14. Let o(y) = y - 17. Let l be o(5). What is the lowest common multiple of (24\/3)\/(1*2\/3) and r(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53476, -213818, -481040, -855142, -1336124, -1923986?\nAnswer: -2618728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 4.04254845\nAnswer: -0.404254845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 7) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -113. Suppose 2 = -4*h + 2*r, 2*h = -4*r - 1 + v. Sort -4, h, -2, -1.\nAnswer: -4, -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41586 + 50775 + 37439 + 32279 - 2*o**2.\nAnswer: -2*o**2 + 78907","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (19 + (14 - 10) - 18) + -3 + -20\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -14, -10, -2, 10, 26?\n\"Answer: 2*y**2 - 6*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697007 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12)*3*(0 - 0). Let o(y) = -y**3 + 7*y**2 - 3. Let f be o(7). Let a be 3*(-1 + (-4)\/f). Put -2, g, a in decreasing order.\nAnswer: a, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 2. Let b be a(2). Let d(p) = -p + 3. Let s be d(b). Let k(h) = 0*h - 2*h - s - 2*h. Determine k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1216)*-3 - sqrt(1216)) + sqrt(1216) + sqrt(1216))**2*-2.\nAnswer: -9746 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a - 14. Let z be u(9). Suppose 8*r = -z + 8. Let o be 712\/20 + 6*r\/40. Solve y = 4*y + 15, -3*y = 4*p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2. Let h(a) be the first derivative of -11*a**5\/60 - 5*a**2\/2 - 5. Let b(x) be the second derivative of h(x). Calculate c(b(g)).\nAnswer: -605*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 1, j: 2}. What is prob of sequence tjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292165038?\nAnswer: 2, 3, 11, 463, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-3 + (1 - 20\/(-16))). Let w be (-2040 - 0)\/((-24)\/(-16)). Let v be (-525)\/((18\/w)\/m). Round v to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78805 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {g: 9, p: 1, r: 2, u: 3, h: 3, q: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 980172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28510786427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x**2 - 1191*x + 1193. Calculate l(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8)*(-3)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*k - 20, 124*k = 4*g + 128*k + 20. Solve 4*h + 20 = -g*h, h = r - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/18*3*(-10)\/675?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -1185524.2?\nAnswer: 11855242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431 + 650. Let i = m - 64. Does 48 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053151109?\nAnswer: 1053151109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 0*s + 3*s**4 + (-2*s**3 - 5*s**3 + 5*s**3)*(s + 0*s - 3*s) + 144 - 144 - 14*s**4 to j*s**2 + b + q*s**4 + h*s**3 + r*s and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 18*f**2 + 9*f + 2416. Let h be a(52). What is h rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 7:57 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.2 - -21. Which is the closest to 11? (a) 4 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290312 or 290314?\nAnswer: 290312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/8 + (-3000)\/740 - ((-332)\/666 + 2).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*b - 729*b + 967*b - 5767*b.\nAnswer: -5776*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159562, 318947, 478332, 637717, 797102?\nAnswer: 956487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-11 + 2 + 16 + (-16 - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*v - 11 - 254*v - 346*v - 166 - 8 wrt v?\nAnswer: -621","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -129\/2*s**2 - 2 + 3\/4*s**4 + 20*s**3 + 66*s. Factor h(v).\nAnswer: 3*(v - 1)**2*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 19*w - 21*w - w.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.6. Let p = 25347 + -25348. Put -33, h, p in decreasing order.\nAnswer: h, p, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821402 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 183, 4, 5 in decreasing order.\nAnswer: 183, 5, 4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 + 5*b + 8. Let l be y(6). Suppose o - 5*o = 4*j - 12, 4*o = 2*j + 6. Solve j = c - l*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 17 - 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3379 is divided by 1124.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2. Let s be m(1). Suppose s = 5*o + o - 72. Solve 4 - o = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55\/2 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(2\/7))\/v)**(9\/11))**33*(v**(3\/5)*v**(-3\/10))\/((((v**(-2\/13)*v)\/v*v)\/v)\/v**(-2\/3)) assuming v is positive.\nAnswer: v**(52069\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -576449 < -576459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11163926 to the nearest integer?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 4*k**2 - 5*k + 2. Let s = -13 - -18. Suppose 4*m + 12 + 10 = 2*z, -s*m = -4*z + 32. Is w(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(1\/70). Let m(i) = 546*i + 9. Let b be m(0). Suppose b = 2*z - k. What is the highest common factor of z and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1167 + 7039\/6. Find the common denominator of f and 1\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 4601, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 2, f: 1}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-12))\/(3\/(-99)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -39. What is the remainder when (k + -2 - 0) + 30 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = 3*l + 3*r, 0 = 3*l + 2*r - 1077 + 382. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(1\/1)\/((-14)\/(-28))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*x**2 - 73095*x + 73095*x.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -69*g**2 - 17*g. Let n(m) = 17*m**2 + 4*m. Suppose -4*x - 2*o - 187 + 169 = 0, 0 = -x + 4*o + 18. Calculate x*l(d) - 9*n(d).\nAnswer: -15*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7445 or 215910\/29?\nAnswer: 7445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 42516?\nAnswer: 42512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 6) to base 10.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 7*i = 5*i + 17, 2*n = -7*i + 65 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.0902 to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) + 9\/6. Suppose 2*l - z - 15 + y = 0, 2*l = 4*z + 24. Find the second derivative of 52*v - 49*v - v**4 + v**l - 4*v**5 wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + -7. Let k be (5\/2)\/(3\/a). Let w be ((-2)\/(-5))\/((-3)\/k). Solve 0 = -w*u + 2 + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 17. Let g be p(-14). Suppose -2*t = 10, d - t - 13 = g*d. Sort 1, d, 5 in descending order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291 + 1371. What is the highest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403252 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1770, -1807, -1844, -1881, -1918, -1955?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 17 = -3*y, 2*y - 45 - 40 + 104 = -2*z + 37 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 + 2*f + 4. Let i(z) = 5*z**2 - 3*z - 5. Let b(c) = -5*i(c) - 6*t(c). Let r be b(7). Let w = 96 + r. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0895 and -549.22.\nAnswer: 49.15519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-912576)\/245)\/48)\/(14\/(-35)*-2)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-7) - 1) + (-1908)\/(-6678).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 3*r**2 + 4*r + 5. Determine y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -77795 divided by -5\nAnswer: 15559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v + 2*v + 924. Which is bigger: -82 or v?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2068 = -2068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5145*p + 5213*p - 1 + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27 - 0.46. Let n = 21.81 - 22. Let x = b - n. What is the smallest value in x, 5, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 65, 276, 703, 1418?\n\"Answer: 12*i**3 - 17*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113845115 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 57. Put 0, 4, -0.1, v in decreasing order.\nAnswer: 4, 0, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Suppose d*s - 48 = -3*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 274 + 3*c**2 + 4*c**2 + 4*c + 2*c**2.\nAnswer: -3*c**2 + 4*c + 274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 804 and 39999.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -34*t + 38*t + 20, -43 = -t - 5*i. Solve g**2 - 2\/3*g**t + 5\/3*g - 2 = 0 for g.\nAnswer: -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(180) + sqrt(180) + sqrt(180)*1 - sqrt(180)))\/(sqrt(12) + sqrt(1200) + sqrt(1200)*-2 + sqrt(1200)))\/(6*(5*sqrt(9)\/sqrt(3) - sqrt(432)*-3)).\nAnswer: -sqrt(5)\/123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 32. Determine f(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/13 (b) -1\/4 (c) 425 (d) -5 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 73. Calculate the remainder when 41 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r + 4. Let j(i) = -26*i. What is j(s(v))?\nAnswer: -260*v - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/(-18)*3*(234\/520)\/((-267)\/890)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (5 + -2))*1. Differentiate -2*z**3 - 4 - 3*z**3 + p*z**3 wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29178106 to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 16. Let x be g(5). Let c be (28275\/100)\/(x\/4). Let l = 2345 + c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k*k\/(k\/(k**(-18)*k))*(k\/((k\/(k*k**3*k*k))\/k))\/(k*k**(-15)*k) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 7*r - 6. Let t be s(-6). Let u = 3 + t. Solve -5*g + 0*p = -2*p - u, g - 11 = 3*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 4. Let x(u) = -11*u - 28. Calculate 6*q(v) + x(v).\nAnswer: -5*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -5*w - o, w - 4*w - 3*o - 66 = 0. Is -3 + (-2 - (-7)\/(w\/(-1356))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 17 = q, r + 4*r + q + 13 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63114598 is divided by 869.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20515, -20513, -20511, -20509, -20507, -20505?\n\"Answer: 2*h - 20517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrunauunnnnauunnhnu. What is prob of sequence rnn?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 1. Let p(i) = -3*i**2 + 3*i - 9. Let l(g) = -4*a(g) - p(g). Let f be l(0). Is 5 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5147 = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 = r - 4, 3*a - 15 = -3*r. Suppose -12*g + 1008 = -8*g + 4*d, a = 2*g - 2*d - 520. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 17 = 2*r + j, 4*r + 5*j = 69. Suppose 0 = -0*c + 2*c - 42. Calculate the remainder when c is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691 (base 14) in base 2?\nAnswer: -10100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-456)\/(-21) + ((-52)\/14 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 508 = -5*u. Let v be (-18)\/(-5)*u\/(-4). Calculate the highest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**5 + 137*s + 48 - 50*s**3 - 8*s**4 - 33*s + s**5 - 4830*s**2 + 4850*s**2 = 0.\nAnswer: -2, -1, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*x**3 - 77*x - 3258 wrt x?\nAnswer: 12*x**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 5:23 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3\/8)*k*k*k*k)\/k)\/k*k\/(k*(k*k**(5\/2))\/k*k*k))\/(k**7*k*k**(3\/7)*k) assuming k is positive.\nAnswer: k**(-633\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57921984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - n**3 + 0*n**3)*(-2*n**2 - 1 + 1) + (-4*n + n**3 + 4*n)*(5*n**2 + 3*n**2 + 9*n**2).\nAnswer: 21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4*k - 4*t, 493 + 476 + 489 = -5*t + 1438 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2435252 (base 6) to base 8.\nAnswer: 374720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose q - 7 = -i, 0*i + j*i = -3*q + 26. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*q - 118 + 23, 4*a = 3*q - 49. Let r(o) = -o**2 - 16*o - 15. Determine r(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 999.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -124. Suppose d - 4*d = -24. Calculate the highest common divisor of g and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.1. Let x(u) be the third derivative of u**6\/120 + u**4\/24 + u**3\/6 + 2*u**2. Let y be x(0). Is o smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j + 12. Determine z so that -1 - 5*z**2 + 0 - 1 + j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 + 5*z**2 - 3*z - 1. Let a(y) = 5*y**3 + 9*y**2 - 5*y - 3. Let h(g) = -4*a(g) + 7*s(g). Let f = 191 - 191. Give h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.21 (b) -0.355768 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 7495*x**2\/2 - 1133*x + 2717. What is the first derivative of g(h) wrt h?\nAnswer: 7495","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jja when three letters picked without replacement from {b: 7, j: 7, y: 1, a: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10401 times 0.066\nAnswer: -686.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.08 + 0.58. Let w = -60.5 + 57. Let k = w - v. Which is the third biggest value? (a) -2\/13 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3*o - 7*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - -258. List the prime factors of r.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 11*l - 18. Suppose 10 = 5*b, -l*y + 3*b - 94 = -5*y. Suppose 4 = -h + 3*g + y, h - 2*g - 44 = 0. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101100001 + 101?\nAnswer: -1011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + 7 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) 19729 (c) 2\/7 (d) -5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 140.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 2. Let r be v(2). Let m be 8\/r*620\/8. Round m to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74869314407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**2 - 307*g + 1630. Let m be o(5). Calculate the highest common factor of 90 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*w + 2*w**3 - 3*w**3 + 30*w)*(-2 - 1 + 0).\nAnswer: 3*w**3 + 66*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1633 + -862. Suppose 5*a = 5*r - 970, -4*a + 3*r - 4*r = x. Let i = -106 - a. 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: Let g = 684 + -654.92. Let a = g + -24.2. Let b = a + 0.12. Put b, -3\/4, -2\/3 in decreasing order.\nAnswer: b, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1123 in 2.1, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*f**2 - 65*f**2 - 150*f**2)*(-2*f - 3*f + 3*f)*(-8 + 9 + 0).\nAnswer: 554*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 - (-8 + 5)) - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {u: 1, q: 7, o: 4, z: 1, x: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15.6 times 1606\nAnswer: 25053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + 0.9. Let t be (-1)\/78 - (-2)\/12. Let z(d) = -d + 3. Let n be z(8). Which is the closest to -0.2? (a) n (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -87876 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*r + 4, 5*j - 5 = -r + 1. Suppose -v - 3 + j = 0. What are the prime factors of 16 + -3 + v + 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose -q*u + 8 = -m, -7*m + 4*m + 5*u - 3 = 0. Suppose 2*f - 3*f = -2*j + 48, 2*f = -m*j + 104. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1002 (b) 0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11312218033.00000069 - 11312217886. Let s = 147 - y. What is s rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 218937*k - 35607024.\nAnswer: -3*(k - 72816)*(k - 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -589 + 598 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 21*u**2 - u - 432. Give z(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d**(-3)*d)*d)))\/((d*(d\/(d**(-7)*d))\/d)\/d)*((d**(-6)*d)\/d)\/(d**(-6)\/d) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 7*f = -11*m - 9, -3*f - 6 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) + (sqrt(68)*-3 - sqrt(68)) + (-2*sqrt(17) + sqrt(17))*6 + 0)**2*5.\nAnswer: 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Let m(h) = h**2 - 5*h + 5. Let k be m(d). Let i = 10 - 9.6. Which is the second biggest value? (a) i (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/(-2268)*(-14)\/(-12)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78, 304, 530, 756, 982?\n\"Answer: 226*a - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318983635*i*w**2 + 2*i*w + 9*i - 3*w + 744601 wrt w?\nAnswer: -637967270*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2. Let k(v) = 3*v + 78299. What is k(q(r))?\nAnswer: 6*r**2 + 78299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140\/1859 - 18\/169. Which is the nearest to -4? (a) 4 (b) 0.58 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128\/1753 - -1369\/5259. What is z in 4 - x*z**2 + 4\/3*z = 0?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o - 6. Let w be 1\/((-14)\/6 + 2). Let k be z(w). Solve -2*q = -4*m - k, 2*m = -3*q - 2 - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -332.2 + 332. Which is the fourth biggest value? (a) -3 (b) 2\/5 (c) w (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3\/7)*x**21\/x*x)\/(x**(7\/5))**8 assuming x is positive.\nAnswer: x**(363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 77651. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101100101110001100000 - -11100?\nAnswer: 11101100101110001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14616521 is divided by 685?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+6510520.06303\nAnswer: 6510520.56303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 554 and 37949.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 895433 and 14007?\nAnswer: 61784877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-194)\/40)\/(27\/24)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/sqrt(32) - sqrt(55)) + sqrt(55) + sqrt(55) + 2*(sqrt(55) - sqrt(110)\/sqrt(2)))\/(((sqrt(180)*-5 - sqrt(180))*2 - sqrt(180)) + sqrt(180)).\nAnswer: -sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 5)*(3 + 1 - 7)*(-1 + 1 + 4*b)*(1 + 0 + 1)*(0 + 4 - 2).\nAnswer: -288*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 48, 88, 164, 288, 472, 728?\n\"Answer: 2*k**3 + 2*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*o - 19. Solve 3 = -0*b - o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**3\/5 - 4538*v**2\/5 - 3188*v + 9104\/5 = 0.\nAnswer: -4, 1\/2, 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -11*p + 28, 0 = 5*y - 2*p + 3 + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + 0 + (-11 - -8 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 92*q**2 - q - 21. Let u(g) = -47*g**2 + g + 10. Let r = 97 + -92. Let t(y) = r*u(y) + 2*s(y). Find the second derivative of t(v) wrt v.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 554 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79*b**2\/9 - 88120*b\/9 + 58852\/3.\nAnswer: -(b - 2)*(79*b + 88278)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/1*(-50)\/20. Suppose -423 = -j*s - t, 0 = 5*s - t - 347 - 70. Calculate the greatest common factor of 28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2423, -2376, -2283, -2138, -1935?\n\"Answer: t**3 + 17*t**2 - 11*t - 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5188097 = 147*g + 5187656 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114948 and 12.\nAnswer: 1379376","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42463663 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:22 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 33121852.\nAnswer: 563071484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -133159.348745 and 0.0753.\nAnswer: -133159.273445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 36 + 30 = 3*s, 3*t - 6 = -3*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5189746 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2661 (base 9) in base 5?\nAnswer: -30444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-50 + 12 + -46)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/561704 and 43\/162030.\nAnswer: 8425560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 7*b + 5*h = 72 - 232, -3*b - 5 = -2*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*v + 177*v - 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11727, 23341, 34839, 46215, 57463, 68577, 79551?\nAnswer: 90379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*s - 4918*s - 1868*s - 96239 = 36295 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:06 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 157b1 (base 12) to base 5\nAnswer: 1434032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-3 + (14 - 12) + -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 + 1824 = 27*z. Find the second derivative of -15*y - 53*y + z*y**2 - 7*y wrt y.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333\/5 or 0.404?\nAnswer: 333\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 3, 1, 442 in ascending order.\nAnswer: -14, 1, 2, 3, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 9 = -5*t, -4*t = 4*v - 20. Let n(m) = 8*m + 0*m + m**2 - 7*m + 0*m**2 + t. Let z(y) = 5*y**2 + 5*y + 6. Calculate 6*n(c) - z(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:54 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 51*z + 201. Calculate j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:08 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817125 is divided by 145?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -22*y - 15. Let i(d) = d + 15. Let x(k) = -5*i(k) - 5*p(k). Let m(b) = -8*b. What is -40*m(s) - 3*x(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5 - 7. Let a be (-7 - (-6 + 3))*q. Calculate the highest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -2.3. Suppose 4*p = 3*j + 24, j + j + 12 = 2*p. Suppose -c = -1 + p. What is the third biggest value in -0.07, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2456*w**4 + 19832*w**2 wrt w.\nAnswer: -58944*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) -0.3 (c) -0.2 (d) -0.5 (e) -0.04 (f) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 9, 165, 45, 29?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 29*y + 89. Calculate the remainder when 660 is divided by k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = 3*f - 742 + 29 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 187755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 - -64 - (-37 + 23)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r - 33 + 17*r**2 - 4*r**3 + 22*r**2 - 3*r**3 + 6*r**3 - 32*r**2. Let i be c(9). Solve -3*o - o = 12, o - 9 = -i*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.005 + 0.004735. What is l rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8540793 and 14335?\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -307*g + 306*g - 5*l, 3*g - 16 = 4*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8*k + 32 = 3*k, 5*y + 40 = 5*k. Let v = y + 4. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24705102 is divided by 1165?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from xxyjnnyfnnjxnjn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -29645632*0.38\nAnswer: -11265340.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-33)*6\/26*13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.7966 times 0.5\nAnswer: 0.8983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = -2*l + 15, 5*l = 2*x + 84. What is the highest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 90?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 - 2*f**3 + 7*f**2 - 6*f - 5 + 13. Let x be h(3). Is 3856\/12 - (-1)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let r(q) be the second derivative of 9*q**5\/5 - 3*q**3 - 3*q**2\/2 - 104*q. Let y(l) be the second derivative of r(l). Give t(y(p)).\nAnswer: 432*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 140586 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 3*m**2 - 52*m + 270. Determine b(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 13*f - 17 = -18*f, 5*v - 2*f = -30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -39. Suppose 698 = c + n*l, -5 - 7 = -4*l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -20*a**2 + 3*a. Give g(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (29 + -49 - -47).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*l - 1031, -6*a + a + 1689 = 4*l. Let k = -241 + a. Let z = 202 - k. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/(4\/4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.049 + 0.951. What is the nearest to 0 in -2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-35)*56\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 354 - 97. Let x = n - 2311\/9. Find i, given that 0*i + 0 - x*i**3 + 0*i**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812102115 and 1515?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -43. Let g = 0.391 + 0.215. Let f = g + 0.394. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: What is 4655\/(-98)*(-172)\/817?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.2. Let d be (-423)\/(-12) - (-4)\/(-16). Let g = -32 + d. Which is the second biggest value? (a) g (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5\/368, 1261 in ascending order.\nAnswer: -5\/368, 4, 1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w - w - 4*w - 9*w + 22*w - w**3 + 1 - 2*w**2. Calculate t(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 26 + 1 - 3. Let a(s) be the third derivative of -s**5\/60 + 5*s**4\/12 - s**3\/2 - s**2. What is a(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2565*l - 4*n - 68 = 2552*l, 5*n + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 523036?\nAnswer: 523026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/(105\/28)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -19*x**2\/2 - 144*x - 64. Is 12 a factor of w(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 42273?\nAnswer: 84546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -202*f**3 - 19*f**2 - 112*f - 22. What is the ten thousands digit of x(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (13 - 9) - -9) + 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94043?\nAnswer: 157, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + 0) - (-1 + sqrt(6)\/sqrt(3)))**2 - sqrt(6)\/(sqrt(33)\/sqrt(44)).\nAnswer: -16*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*z + 14110, -522*u + 7037 = -521*u - 5*z. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*j + j + 120 = 0, 122 = 4*a + 3*j. Suppose 2106 = a*m - 16*m. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -69, -136, -239, -390, -601, -884?\n\"Answer: -2*x**3 - 29*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, s: 2, j: 3, b: 1}. Give prob of sequence jbgg.\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -5 - (-2 + 1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -42. What are the prime factors of (-2 - -469) + w\/(-2)?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajoaaajoomjowohjmo. Give prob of picking 1 a and 1 h.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 410 - 385 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.273594472679 + 3\nAnswer: 2.726405527321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111333023 - -2?\nAnswer: 1111333031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boob when four letters picked without replacement from {o: 2, j: 3, b: 5, q: 2}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/(1\/(-272)). Let d be (-3)\/(-1 - -4) + f. Let c = d - 88. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00544 rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 5*r + 5*r)*(-219 - 4152*r**2 - 690*r**2 + 221 + 1233*r**2) to j*r**3 + d*r**2 + s*r + t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6 = -q - 2*y + 4, 5*q - 4*y - 6 = 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b**4 - b**3 - b**2. Let t(n) = -1972*n**4 + 4*n**3 + 4*n**2 + 547. Let o(d) = 4*a(d) + t(d). What is the first derivative of o(q) wrt q?\nAnswer: -8080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1)*(-9)\/(81\/(-12)). Let m(x) be the third derivative of x**4\/24 - x**2. What are the prime factors of m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -17. Let w be 6\/o - 223\/(-2). Let c = w - 79. Calculate the remainder when 131 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 1. Let i(x) = 7*x + 121. What is 3*b(r) - i(r)?\nAnswer: 2*r - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(7 + 2). Suppose x + 220 = s*x. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*(3 + -2) + -9 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-324)\/(-1080))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 8 + -21 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04131 times -9980.7?\nAnswer: 412.302717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4, -7 = -4*o - 3*c + 54. Suppose -696 = -o*u + 8*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(3\/(-20)*2). Let t be ((-34)\/(-8))\/(5\/a). Let j be (t - 1)*11\/(-1). What is the greatest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 12694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240588 divided by 489.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24\/126*((-18)\/(-4))\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10028 - -10028.000000118. Round t to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*i**3\/13 - 652*i**2\/13 + 1992*i\/13 - 144\/13.\nAnswer: 2*(i - 6)**2*(27*i - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -535744, -1071490, -1607236?\nAnswer: -2142982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4594061 is divided by 208?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-1*1 + -1*sqrt(675))\/(-2*sqrt(1089) - sqrt(1089) - (sqrt(9) + sqrt(729)*1)).\nAnswer: 6*sqrt(3)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s - 11. Let d(w) = 3*w**s + 9*w**2 + 3*w**2 - 7*w**2. Let m(j) be the third derivative of -j**4\/6 + 15*j**2. Determine d(m(h)).\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16642 = 515*x + 9228 - 3210 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (9 + (-9 - -4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*z - 5029 - 1227 = 20*z - 299*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4028, 12396, 25100, 42140?\nAnswer: 63516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.9 or 6202773?\nAnswer: 6202773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079494382?\nAnswer: 2, 3, 7, 5087, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2559274285.\nAnswer: 5, 23, 31, 113, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y. Let t(g) = 27*g + 5. Let d(v) = -13*v - 2. Let c(o) = -5*d(o) - 2*t(o). Let z = -87012 - -87010. What is z*c(f) - 3*b(f)?\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40399 + 65638. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -52838*c - 2377710. Calculate g(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 108 = -9*c. Let q(b) be the second derivative of b**4\/12 - 7*b**3\/6 + 3*b**2 - 3*b. Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:26 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3290 divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156\/55 - -29\/11. Which is the smallest value? (a) -5 (b) i (c) -0.5 (d) -1\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-625543)\/5)\/(5\/(-25)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - r**2 + 3*r + 1. What is the remainder when 18 is divided by z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52190951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 13*m**2 + 16*m - 26. Give i(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 3*x - x)*(5 - 4 - 2 + (109 + 427 - 48)*(0 + 1 - 3)).\nAnswer: 6839*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/1857 or -1?\nAnswer: -43\/1857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8 and (1 - (-2 + 1))\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73831799 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 u(x) = 2*x + 4*x + 0 - 1. Let k be u(1). Let n = -10 - -15. Solve -2*f = -4*l + 10 - 4, -n*f + k*l = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 74. What is v(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1371846348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*o = 692, 11*o - 536 = -4*w + 13*o. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let r(h) = -4*h - 2. Let z(c) = -6*m(c) - 2*r(c). Let w be z(4). Let f(d) = 2*d - 9. Let t be f(w). Solve -p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163221\/(-180472) - (-99)\/187\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - b - 20. Let p be t(0). Let a = p + 38. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/((-2 + -3)\/(-135)). Calculate the highest common factor of g and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -0.06. Let t = -24981 - -24971. Which is the nearest to -2\/3? (a) 2\/19 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35\/(-20))\/((-3)\/120). Suppose -8*h = -l - 58. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 729*d**3\/4 - 3339*d**2\/2 - 6642*d.\nAnswer: d*(d - 12)*(d + 3)*(d + 738)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4830, -4832, -4836, -4842?\n\"Answer: -z**2 + z - 4830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 + 2*n**2 - 2*n + 4. Let b(w) = -w**3 + w**2 - w. Calculate b(z) + y(z).\nAnswer: 2*z**3 + 3*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11395, 22793, 34191, 45589?\n\"Answer: 11398*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*1*sqrt(504))\/((-1*sqrt(648) - sqrt(8)) + sqrt(8) - sqrt(24)\/(sqrt(9)\/sqrt(3) + sqrt(3))).\nAnswer: 1 + 24*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*a = -3 + 6, -4*z = -3*a - 15. Is 494 + (-70)\/21*9\/z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 73*a + 8. Let b(d) = d**3 + 24*d**2 + 62*d - 58. Let x be b(-21). List the prime factors of y(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1716 by -52.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 84 = -2*y. Suppose -11*q - 9 = -y*q. What is the smallest common multiple of q and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1 - 9.86. Let d = o - -0.75986. What is d rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1. Let x = 7.6 - 0.6. Let c = x - 9. Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 39*z**3 + 150*z**2 + 96*z - 288 = 0 for z.\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11111000000110111 (base 2) to base 3\nAnswer: 20110020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6\/7)*p))\/p**1*p**(-2\/33)*p\/(p**4\/p) assuming p is positive.\nAnswer: p**(-509\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 115464.428 and 7.56.\nAnswer: 115471.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -283.8 - -284. Let k = 359\/5 - 72. What is the nearest to 0.8 in 3, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q - 70*q. Let l(k) be the first derivative of q*k**2 + 0*k**3 + 4 - 7\/5*k**5 + 0*k**4 + 6*k. What is the derivative of l(y) wrt y?\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.6992 less than -79664.044?\nAnswer: -79529.3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlhhlhthhhhhthtlthh. What is prob of picking 2 l and 2 h?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3*y**3\/2 + 47*y**2\/2 + 3*y + 257. What is v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37098 divided by -6?\nAnswer: -6183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and -17\/92960.\nAnswer: 92960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2887*p + 2*o - 14 = -2883*p, -p - 2*o = 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + i**2 - 2. Let l(v) = 1. Let n be 4\/(-22) + 9\/(-11). Let d(h) = n*p(h) - 2*l(h). What is the third derivative of d(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/2 - 9873*h**3\/2 + 14806*h**2 - 9870*h = 0. Calculate h.\nAnswer: 0, 1, 2, 9870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/2 + 164202798*t + 4493759811838134 = 0. Calculate t.\nAnswer: -54734266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -562969\/3080376 + 2\/29619. What is the common denominator of j and -46\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 2*p + 0*p - 213 + 144*p + 213 + (0 + 0 + 1)*(3*p - 4*p + 3*p).\nAnswer: 144*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 33154 + 5462. List the prime factors of p.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 8*o**2.\nAnswer: -4*o**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*a + 0 - 3 - 2 - 132*a + 3 in the form n + b*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 18*k + 43. Suppose 126*x - 479 + 2176 + 445 = 0. Calculate w(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 1\/15*t**6 + 0*t**3 + 0 + 1\/20*t**5 + 0*t**2 - 121*t - 1\/42*t**7 - 1\/6*t**4. Factor i(l).\nAnswer: -l**2*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 7*g**2 + 4*g + 7. Let p be c(4). Let l = 63 - p. Suppose 0*q + 6 = -2*q, 5*q = -4*b + 457. What is the remainder when b is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1942333605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(13 - 13 - 54*p + (-3 + 3 - 2)*(-4*p + 0*p + 0*p) + 0*p + 2*p - p)*(-p**4 - 5*p**4 + 2*p**4).\nAnswer: -180*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 0*a + a)*(-61*a + 108 - 108) - 4 - 5*a**2 + 6*a**2 - a + 2 to the form n*a + d + v*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1217108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 14390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 + 2516*r**2 = 0. What is r?\nAnswer: -629, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 85. Let v = a - 423\/5. What is the third biggest value in 1.4, -3, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 2}. Give prob of sequence ir.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 0.02.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/403 + 282\/(-93).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*l**5 + 209064*l**3 - 209064*l**3 + (1 + l - 1)*(-l**4 + l**4 - l**4).\nAnswer: -32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 827a2?\nAnswer: -82799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 3*a**2 + 3*a + 1 + (-4*a + 3*a + 3*a)*(-38*a - 32*a + 40*a) to t*a + w + l*a**2 and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6866, 27499, 61890, 110039?\n\"Answer: 6879*k**2 - 4*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110492338 to the nearest integer?\nAnswer: 10512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-780)\/(-13))\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2 + sqrt(117))**2 + -1 + 1*sqrt(468)*6.\nAnswer: 60*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12)*6)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b + 2*b**3 + 3*b**3 - 2*b**3.\nAnswer: 3*b**3 + 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(5)*2)\/(sqrt(24)*2))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hga when three letters picked without replacement from surassgusshsusssss.\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5436878 and 1086.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 + 8*l - 16 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 7737 = 3579. Calculate the greatest common factor of 42 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19710.158 rounded to the nearest 10?\nAnswer: -19710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6545221?\nAnswer: 17, 385013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**5 - 2*n**2 + 2*n**2)*(-286 - 236 + 128) - n**5 + 2*n**5 + 0*n**5 + (-3*n**4 + n**4 + 4*n**4)*(2*n - 2*n + 2*n).\nAnswer: 1187*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m - 45. Let f be (-2)\/2 + (m - 4). Suppose -3*x = 4*k - 11, 0 = f*x - 4*k + 2*k. Solve 0 = 2*n + x + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 0.46, -8340?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*s = -197*s + 12, -s = 3*v - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/81 and 59\/261.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:03 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by 18.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - h**3\/6 + 3*h**2 - h. Give k(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 22*g**2 + 42*g + 37. Let z be w(-16). Suppose 116 = -897*q + z*q. Let h = 25 - 15. Calculate the remainder when q is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 1. Let k(t) = -7*t**2 - 10. Let p(u) = k(u) + 3*r(u). Let v(n) = n. What is v(p(w))?\nAnswer: -10*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from ccccjjmcqmmmcjjqcl?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204100.\nAnswer: 2, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 7*p**2 + 5*p + 16. Calculate c(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78598, -78600, -78602, -78604, -78606?\nAnswer: -78608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6 + 4*z + 3 + 4 - 5. What is the remainder when l(7) is divided by 4\/(-14) + 93\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/2 (c) 61 (d) -5 (e) -3\/4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**3 + 8*l**2 + 6*l - 4. Let f(s) = 15*s**3 - 17*s**2 - 12*s + 8. Let y(h) = -13*a(h) - 6*f(h). What is the remainder when y(5) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2738, -2736, -2734, -2732, -2730?\nAnswer: -2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 66 = -4*o. Solve -2*j = -3 + o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(192) + (sqrt(192) - sqrt(192)*-1) + 3)**2 - sqrt(192)) + 4 + (sqrt(900) - 3*sqrt(900) - sqrt(900))\/sqrt(3).\nAnswer: 106*sqrt(3) + 1741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6046025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-57 - 11) + 102?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 706 (base 8) to base 16\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 2*w + 4. Let l be v(-2). What is the nearest to 1 in l, -3, 1\/10, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/147 and 1\/25683?\nAnswer: 179781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/47 in -0.5, 0, 0.884, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3\/4 (b) -2\/3 (c) -3 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/5 + 3*h**4\/10 - h**3\/5 - 2*h**2\/5 + 10*h. Solve o(y) = 0.\nAnswer: -1, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 432 - 113. Let t = h + -62. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 3*c + 3. Suppose 216 = -2*j + 8*j. Suppose 19*x - j = -17*x. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 (base 6) in base 15?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h. Let t(b) = 18*b. Determine t(o(x)).\nAnswer: 270*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 times 0.59\nAnswer: 1.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(8\/3)*p\/((p**(-1\/14)\/p)\/p))**2)**(3\/25) assuming p is positive.\nAnswer: p**(241\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 428*q + 3420*q + 631*q + 8 as m*q + o and give m.\nAnswer: 3623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 479947 or 479990?\nAnswer: 479990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 22673.0493 to 0 dps.\nAnswer: 22673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-95)\/(-10) - -3 - 3\/6. Solve 0 = 4*y + 4*z + s, -y + 3 = y - z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -8.4. Let z(q) = -q**3 + q**2 - q. Let h be z(0). What is the second smallest value in p, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (14 - 45) - -23?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:12 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1721\/105 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -0.63.\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 41. Let c = 12 - -17. Calculate the remainder when c is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 + -205 - (-31 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4559*a**3*l + 168*a**2*l**2 + 148*a*l**2 - 3*a*l + 1590*a wrt a?\nAnswer: 27354*a*l + 336*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2180*a + 285573. Calculate d(-131).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*b - 7*b + 14, 0 = -4*z + 4*b. Does 17 divide 102\/(((-28)\/(-91))\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {c: 3, f: 3, p: 2, s: 1, r: 1, h: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s**2 - s - 1. Let o be z(-2). Let d = o - -25. Let c = d - -42. Solve -c = -5*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -20*c**2 + 5*c - 5. Let j(n) = 21*n**2 - 6*n + 6. Let q be -1*80\/64 - (-25)\/4. Calculate q*j(l) + 6*u(l).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 62*a**2 + 174*a - 566. Give t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - v - 6*v + 14*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*h**4 - 2*h**3 - 7*h**2 - 10*h wrt h.\nAnswer: -5448*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347732*m**2 - 1123437 with respect to m.\nAnswer: -695464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 15. Let c(g) = -6 + g - i*g + 0*g + 4*g. Let t be c(-5). What is the second smallest value in 1, t, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41519243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548 and 59458.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 348*a**2. Let x(m) = -8*m**2. Let q(v) = 4*v**2. Let i(c) = 9*q(c) + 4*x(c). Calculate n(i(j)).\nAnswer: 5568*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5428*b**4*t + 4*b**3*t**2 - 5*b**3*t - 459*b**2*t**2 - 291 wrt b.\nAnswer: 130272*b*t + 24*t**2 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -140 + -328?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2089036 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1110365 + 24?\nAnswer: 1110422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 2 + 128)*(-2 + 0 + 4)*(-k**3 + 0*k**3 - k**3).\nAnswer: -1028*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -70 + 18. What is the smallest common multiple of 8 and w?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 69054643.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16894 + -18754. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let m(o) = 67. Determine -m(z) + 2*v(z).\nAnswer: 2*z - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 74*k**3 + 436*k**2 + 5*k + 41. Determine r(-6).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y + 5. Give c(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.7204 centuries in months?\nAnswer: 106464.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 4, -1\/67, -21.\nAnswer: -21, -1\/67, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -376165 * -4.1\nAnswer: 1542276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/240*(-2)\/(-99)*5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + 1b42?\nAnswer: 1b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-30) - 6\/9. Let f = -79.93 - -80. Let u = -154.5 + 156.5. What is the second biggest value in j, f, -0.3, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 + 5*i - 8. Let k be r(-6). Let v = k + 1. Sort 1, -5, v in increasing order.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304\/684*(-1)\/6?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 365560 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 448 (base 13) to base 3\nAnswer: 1000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**3 + 1 - 4*l + 5*l + l**2 - 2*l**2. Let z be x(-1). Suppose w = 4*u - 29, 0 = z*u - 4*w - 17 - 15. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 484 - -692. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.119, -1\/2, 2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:22 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + g + 1. Let v be u(-1). Let m be (1 - 6)*(-16)\/20. Suppose 40 = 2*x + m*w, 13*w = 16*w + 15. What is the greatest common divisor of v and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10935, 87491, 295293, 699963, 1367123, 2362395?\nAnswer: 3751401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqfgqbefeeqe. What is prob of sequence gqqf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002805713 rounded to six decimal places?\nAnswer: -0.000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -308 + 299. Let d be (l - -7)*(0 + 18\/(-4)). Solve 10*j - d*j = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/89? (a) 2 (b) 0.2 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3091447100 rounded to the nearest one million?\nAnswer: 3091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (55 - 43) - -69?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 4\/15*y**6 - 2*y**4 + 1\/21*y**7 + 0 + 0*y**2 - 6*y - 1\/5*y**5 + 3*y**3. Find i, given that x(i) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y**4 + 2*y**4 + 5*y**4)*(-19 + 37 + 42) as s + f*y**3 + h*y + x*y**2 + b*y**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:22 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41973 times 0.01?\nAnswer: 0.0041973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 - -2564?\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/100 and -103\/496?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -45.74581*-0.49\nAnswer: 22.4154469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070069 to 6 dps.\nAnswer: 0.000701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 304 + 59 = 5*j, -4*l = -2*j + 150. Suppose -2*y - 88 = -2*h, -249 = -4*h - 5*y - j. Suppose 0 = h*n - 43*n + 14. Is -14 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -31. Solve u + l = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5440600 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5\/7, -13698 in descending order.\nAnswer: 5\/7, -1\/3, -13698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.1 + -50.2. Which is the closest to z? (a) 0.1 (b) -4 (c) -2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 8688462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 2. Let a(v) = -4. Let i(n) = 3*a(n) + 7*f(n). Give i(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 613971749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547384277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + -0.45. Let y = -26899.8 - -26900. Sort -13, 2\/5, d, y in increasing order.\nAnswer: -13, d, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*x - x + 4, -2*f = -5*x + 3. Let a be 1 - (140 + ((-4)\/4)\/f). What are the prime factors of -4 + (-3 + a)\/(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -3 (b) 21 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -67, -1, 471, -4, 0, 8 in descending order.\nAnswer: 471, 8, 0, -1, -4, -10, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.92 take away -13784.57516?\nAnswer: 13723.65516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599151?\nAnswer: 1031, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 197?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1136 + -1136.2. Let f = -155 + 159. What is the second smallest value in 1.9, -2\/3, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5117007196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 8*r**2 - 33*r + 7. Calculate h(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgygtloytlktkt. Give prob of sequence yy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2 (c) 454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005243 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -93, -3\/2, 3\/50?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744541 + 1744598 + o**2 - 2*o**2.\nAnswer: -o**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -39. Which is the biggest value? (a) t (b) 0 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/3 + 23*y**2\/2 - 6190*y. Let v(f) = -12*f. Calculate t(v(j)).\nAnswer: 24*j + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 598590 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1131 by -5.\nAnswer: -1131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 7*l**6\/120 - l**5\/60 + l**2. Suppose -b + 1 - 7 = -3*p, p = -5*b - 14. Give k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48\/5 of a millisecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 6. Suppose -s + 2*s - o - 2 = 0, 27 = 3*s + 4*o. Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(128) - sqrt(42) - sqrt(42))\/((-1*sqrt(150) - sqrt(150)) + sqrt(150))*-3.\nAnswer: -21*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 37755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrreyrryrrrzyrryy. Give prob of sequence yy.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19 - 31 - 27 - 281*v - 589*v**2 + 73 wrt v.\nAnswer: -1178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v + 2. Let l be x(10). Let c = 126 + -68. Calculate the remainder when c is divided by l\/(-8) - 1\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*h - 289*a - 10 = -294*a, h + 10 = 5*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678 divided by -17.\nAnswer: 678\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 - (-13 + (0 - -7)))) + 7 + -30.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/10)*j**(-2\/3)*j)**22)**49 assuming j is positive.\nAnswer: j**(10241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 170?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by -1 - (350\/(-22) + 4\/(-44))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/(-6) - 59\/177. Solve 37*q - p*q = 88 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1874\/8 - 2\/8. Let j(h) = h**3 - 4*h**2 + 8*h - 6. Let z be j(4). Calculate the highest common factor of z and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 3*j, -2*j + 4*k + 0*k + 12 = 0. Suppose 0*o - j = -o. Let s(d) = -2*d + 13. Let i be s(5). Solve 0*l = -i*l - o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - -3)\/4 - (21 - (-23 + 46))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-2)*4\/(-6). Suppose -5*z + 2*z = -o. Suppose 0*m + 2*m + 8 = 4*w, -3*w = 2*m + 8. Sort z, m, 3 in descending order.\nAnswer: 3, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -11*s - 2 + s**2 + 11*s. Let x(h) = -19*h - 5. Let m(b) = -105*b - 28. Let j(t) = 5*m(t) - 28*x(t). Give j(w(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w. Let a(u) = -2192*u - 128. Let m(n) = -51*n - 3. Let i(o) = -3*a(o) + 128*m(o). Calculate i(l(r)).\nAnswer: -96*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 789\/(-1052) + (-21)\/4 + 3 + 108\/37.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 42*r + 47*r = 0, 0 = h + 3*r. Which is the smallest value? (a) -1.2 (b) h (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + 0))*-5 - (sqrt(833) + -1)**2*5.\nAnswer: -4170 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8891746 divided by -4445873.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 plus -37452343844?\nAnswer: -37452341894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5*n + 2*i**4 - 446*i**3*n + i**3 + 19*i**2 + 55*n + 13 wrt i.\nAnswer: 180*i**2*n + 48*i - 2676*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 12453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1 - sqrt(13))*2 + (sqrt(39) + (sqrt(39) - (sqrt(39) - 3*sqrt(39))))\/sqrt(3) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 7061 + 7181 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 747139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/697 + -23401\/27880. What is the common denominator of 111\/20 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 826*u + 518*u - 786*u to y + g*u and give g.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 3*j - 9*j**2 - 7*j**2 - 12 - 5.\nAnswer: -16*j**2 - 3*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -0*j - 2*j + i + 10, 101*j - 3*i - 116 = i + 191 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-9\/5)\/b)*b**6)**(2\/89)*(b*b**(5\/4)*b**4)\/(b*(b**(-2\/5)\/b)\/b*b**(-1\/6)) assuming b is positive.\nAnswer: b**(42797\/5340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 18*r**2 + 25*r + 128. What is u(-5)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64899525*-18\nAnswer: -1168191450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5594 + -0.559396491. What is s rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 15*w**5 + 9596860*w**4 - 22393330*w**3 - 367881860*w**2 - 566216445*w + 230325480 = 0?\nAnswer: -639793, -3, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2 - 5*g**2 - 3*g**5 + 12 - 12 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 4*h**2 - 6*h**2 + h + 2*h + 8*h**2 to i*h**2 + j + t*h and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1075 + 1140. Calculate the remainder when 776 is divided by s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n)**(3\/7)\/(n**(-15)*n*((n**(2\/3)*n)\/n)\/n*n))**15 assuming n is positive.\nAnswer: n**(1370\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 16*q + 31. Let h(z) = 2*z**2 - 7*z + 5. Let f(b) = 3*b**2 - 8*b + 6. Let w(a) = 3*f(a) - 4*h(a). Give w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.52074 years to centuries.\nAnswer: 0.0352074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 16497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7*(-21)\/(-3). Let o(q) = 5*q + 0*q + 11*q**2 - 6*q + 3*q**m. List the prime factors of o(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 193 - 107. Let w = -182\/3 - t. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15a2 + -2a7a?\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/99 and 6\/3905.\nAnswer: 35145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllaal. What is prob of sequence alll?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213350 and 642560.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or -49\/816?\nAnswer: -49\/816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/814)\/(6*1\/(-11)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 12:06 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6361 + 76405\/12. Calculate the common denominator of 43\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6466 and 47\/46.\nAnswer: 148718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**(-16)*z)\/(z**(-2\/11)\/(z\/(z\/((z\/(z*z**15))\/z)))) assuming z is positive.\nAnswer: z**(-284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2237.114 + 2252. What is a rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -553 and 37354600?\nAnswer: 37355153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28760, 57519, 86278, 115037, 143796, 172555?\n\"Answer: 28759*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*b**2 - 7 - 12*b + 471*b**2 - 159*b**2 - 159*b**2 as y*b**2 + s + j*b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -30*(2\/20 - 78\/130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.81 (b) 2 (c) 6 (d) -0.1 (e) 5 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 71, 36, -31, -142, -309, -544, -859?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -0.1, 3, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 4*v - 2, 5 = -5*v. Let k(q) = -3*q. Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -48*c**2 + 13*c - 5. Let j(o) = -17*o**2 + 4*o - 2. Give 8*j(g) - 3*l(g).\nAnswer: 8*g**2 - 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 696180 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 915\/(-2135)*(-2772)\/(-12)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1720 and 2349520.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + (-1 + sqrt(245) + sqrt(245) + 3)*2)*3)**2.\nAnswer: 4536*sqrt(5) + 36005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**5)**(-4)*(r**(-1\/22)\/r)\/r**6 assuming r is positive.\nAnswer: r**(-683\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481820497 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*r + 15 = 0, r - 4 = -3*g + 2. Let n = 1 + g. Factor -9*o**n + 21*o + 0*o**2 - 15*o + 3*o**2 - 12*o**3.\nAnswer: -3*o*(o + 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -1b?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 >= 3627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {n: 1, x: 5, l: 1, a: 1, k: 2, u: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301503 (base 6) to base 3.\nAnswer: -1012112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4677 - -4634. Which is bigger: x or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 7*y**4 - 6*y**4 + 12*y**4 + y**3 - y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 35 = -5*r - 65, -3*r - h - 22 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -59 + n**2 - 2*n**2 + 62 - 9*n. Let w(c) be the third derivative of -c**4\/8 - 4*c**3 + 3*c**2. Let l be w(-5). Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -314 in 4, -20, -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17*d + 36. Let j be c(-2). Let v = -101 - -104. Solve 1 = 5*t - v*u, -j*u = 4*t - u + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 53 + 17*x + 53 as f + c*x and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*c = -0*c - 1, 5*c = -4*o + 13. Suppose 0*k + 15 = 2*z + 3*k, 4*k - 20 = -o*z. Suppose 0 = 5*h - 35 + 10. Solve z = -p + h*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -3, -8643, -1\/3?\nAnswer: -8643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o + 20. Let z(r) = -2*r - 3 - 1 + 10 + 1. Calculate 6*b(d) - 17*z(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((-9)\/(-3)) + 9. Let c be (2 + d\/(-3))*-339. Suppose 0 = -2*u + u + c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((156 - 138) + 1844\/(-102))\/(2\/(-9)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55549*c + 2*c**2 - c**2 + 500248*c.\nAnswer: c**2 + 555797*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854882 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 31948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 58*l**2 - 117*l + 171. Give w(-60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 78. Calculate the greatest common divisor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3\/(-6)*1). Let g be k\/(-6) - 28\/(-6). Suppose -3*m - 2*y = -14, 2*m + 7 = 4*y - g. Put 2\/15, m, -1 in decreasing order.\nAnswer: m, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 6*p + 2. Suppose -7 = u + 3*q - 25, -20 = -5*u - q. Suppose -4*m - 3*j - 31 = 0, -j - 21 = m + u*m. What is the units digit of a(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:17 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 6d85a7c?\nAnswer: 6d85a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5273*t**2 + 38*t. Let w(o) = 97276305*o**2 - 701043*o. Calculate -110691*g(v) - 6*w(v).\nAnswer: 15813*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/o)**(-17)*o**(-3\/5)\/(o\/(o**(-2)\/o)))**(10\/19) assuming o is positive.\nAnswer: o**(634\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429330272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12570.72404 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 2\/151977?\nAnswer: 2\/151977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1516 + 1540 - (-1 + 38).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgcknncbcgckbkcncny. What is prob of sequence knbk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301 + -126. What is the second derivative of -6*u + 175 + 5*u**5 - z wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358\/5 - -72. Let h = -3.038 - -0.038. Sort o, h, -0.5 in decreasing order.\nAnswer: o, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 - -481)*(8\/(-6))\/((-665)\/399) and 114?\nAnswer: 7296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-22) + 14\/(-4)*266\/(-931)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.65263 - -4.\nAnswer: -0.65263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*x**3 - 207*x**3 + x - x - 210*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**3 - 5 + 1 + 121*z**3 + 430*z**3 + 8.\nAnswer: 529*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:47 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1114 = -8*r + 6*r, 3*j - 2*r = 835. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 2*f + 3. Let r be -1 - (-2 - -2) - (-4)\/(-2). Let g(u) = -2*u**2 + 2*u - 3. Calculate r*g(d) - 4*m(d).\nAnswer: 2*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68377 + 68376 + 1 + 0 + -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004825 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. What is the first derivative of -3 - 1 - 39 - f + 36*g wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 49*s**3 + 289*s**4 - 149*s**4 - 135*s**4 as a*s**4 + f*s**3 + g*s**2 + t + q*s and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 19. Suppose s - j = -0*s + 74, x = -j + 1. Suppose v - 6*v = -s. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-18)\/(t\/(t*t**(-4)\/t)))\/((t\/(t\/t**13))\/(t**(7\/2)*t)))**(2\/33) assuming t is positive.\nAnswer: t**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 4. Suppose 0 = 2*f + f - i. Suppose -5*x + 3*a = -2*a + 5, -4*a = f*x - 28. 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 the nearest to -0.06 in 6\/13, 9, -183, 0.5, -3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 14*d**2 - 14*d + 17. Let r be p(-15). Suppose -y = -r*m + 4*y - 12, -y = -m. Solve -q = -m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/207, -36, -3\/55 in descending order.\nAnswer: 2\/207, -3\/55, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1782) + (sqrt(1782) - sqrt(1782)*-1)*4 + sqrt(1782) - sqrt(1782))\/(sqrt(11) + (sqrt(11) - -2*sqrt(11)*4) - sqrt(44)*-1).\nAnswer: -27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 12. Let c(p) = -5 - 11*p - 19*p - 11 + 5 + 29*p. Give 4*c(n) + 5*t(n).\nAnswer: n + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r, 4*v = -5*r + 120. Suppose 2*s + 5*a - 13 = -s, -4*a = -3*s - 5. Does 8 divide (-4 - s)\/((-6)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29\/4, 0.5, -2\/3, -0.5?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-20) - 8\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, e: 1, i: 1, d: 2, t: 3, p: 1}. What is prob of picking 2 d and 2 l?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 866*h**2 - h - 40. What is j(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 340?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Suppose -3350025 = -5*l - 9*n + 4*n, -v*n - 1339990 = -2*l. What is l rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 - 1104*a + 7532 = 0. Calculate a.\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -6 - -2)*(-12)\/(-8). Suppose 5 = s*d - 1. Calculate the greatest common divisor of d and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -2112.\nAnswer: -57024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134144 and 8384.\nAnswer: 134144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 4*z**3 - 105*z**2 - 34*z + 1. Let q be s(8). Do q and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 9*x + 4. Suppose 2*y = 4*i + 22, 0 = -3*y + 2*i + 12 + 5. Let l(r) = -r**2 + 5*r - 2. Calculate y*b(p) + 5*l(p).\nAnswer: p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + d + 507, -5*d - 18 = -3. Let c = m - -188. Suppose 4*v = 2*n + c - 248, 5*n - 417 = -2*v. What are the prime factors of n?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6301, 0, -15, 1, 3, -5, 5 in ascending order.\nAnswer: -6301, -15, -5, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/2)\/(9\/12). Let o = l - -8. Let w = o - -19. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -15 + w**2 + 1\/3*w**3 + 2*w. What is the tens digit of t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1898618 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ee + 5?\nAnswer: 3f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/135 - ((-7044)\/855 + 8).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92468*r**4 - 335197*r.\nAnswer: -1109616*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:19 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 37 = -f. What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = -76 + 118 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/32940 and 67\/42020460.\nAnswer: 126061380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 6. Give v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i + 2*u, -2*i = 2*u. Suppose 7*y = 2*y + 30. Suppose 4 = 5*f - y. Solve 3*j - f*a - 18 = 0, 4*j + i*a - 10 = -2*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-390784)\/6816)\/(2 + (-8)\/12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/3)\/((-4)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 1106 (b) 2\/9 (c) 15 (d) -0.2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201873 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 n(i) = -401*i**3 + 9*i**2 - 9*i + 4. Let b(h) = -100*h**3 + 2*h**2 - 2*h + 1. Calculate -9*b(s) + 2*n(s).\nAnswer: 98*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -k - 28743, -2*a = 2*k - 1382 - 13002. Let n be (a\/(-20))\/((-4)\/(-4)). Let m = -1477\/4 - n. Find the common denominator of m and -101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2852661*v**3 - 1492038*v**2 wrt v?\nAnswer: 17115966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/120 + t**5\/12 - t**4\/24 - t**3\/6 - 16*t**2. Let x be i(-5). Solve -x*a + 0*a - 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25098 divided by 2.\nAnswer: -12549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -15*c**3 - 9430*c**2 + 5512115*c + 3678930 = 0.\nAnswer: -997, -2\/3, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 41. Let k(x) = 5*x**3 - 2*x**2 + 5*x - 4. Let l be k(1). Suppose l*i + i - j = 0. 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: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(187)\/(sqrt(11) + 4*sqrt(11) - sqrt(11)))*6.\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-105)\/(-20) + 2\/(-8). What is the third derivative of 2 - 7*m**4 + l - 7 + 6*m**2 wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v. Let t be k(-3). Let i(l) = l**3 + 10*l**2 + 8*l - 6. Let w be i(t). List the prime factors of (((-9)\/w)\/(-1))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13173409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 8:56 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3374944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 1. Suppose 3*a - 51 - 3 = 0. Suppose 2*h - a = 5*x, -13 = -5*h + 7. Let g be t(x). Solve -5*d - g = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b365e (base 15) to base 3.\nAnswer: 2111110102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13132312133 (base 4) to base 9\nAnswer: 3618445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from qhzqaqrqzacqahaa?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r - 3*r**5 + 0*r - 5*r + 4*r**5 wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -2615579, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.235 + -0.135. Suppose -2*p = p. Which is the closest to o? (a) -2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1585 - 2753. Let t be 49790\/(-15) + -1 + (-16)\/24. Let j = m - t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Let v(f) = -2*f**2 + 5*f**2 + g*f - 4*f**2 - 12 + 7*f. What is the remainder when v(7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160570334 is divided by 1738.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53602? (a) -1 (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-20)\/z**13*(z\/(z*z**9\/z))**(-4) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -553 and -0.315.\nAnswer: -553.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -15605?\nAnswer: 1560.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 7. Suppose -w + 2*f + 27 = -5, 3*f = 6. Let r be 9\/(-12) - (57\/w + -1). What is the nearest to 2 in -4\/7, d, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42\/5 of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1375173.202 to the nearest one hundred.\nAnswer: 1375200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjzzzjjjjjjjjjj.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 8:45 PM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*p - 20. Suppose -16*u = -21*u. Calculate the remainder when p is divided by (-24)\/(-2 - u) - -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + 5*c**3\/3 + 4*c**2 - 3*c + 2. What is the units digit of l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k - 4 = 0. Let v be 10\/10*(k + 1). Solve -v*j + 5 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 141?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248897 is divided by 123406.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1437 (b) 5\/3 (c) 4286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-4*b**4 + 0*b**4 - 3*b**4) as m*b**4 + p*b**2 + x*b**3 + r*b + h and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 12 = i + 9*y, i - y = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10764*g*u**3*z + 5*g*u - 5*g*z + g wrt u.\nAnswer: -64584*g*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10286 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153258\/5412 + (-6)\/(-99)*-30?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 8. Let u be b(4). Suppose -4*x + 2*m + 566 = 0, 0 = -x - u*x + 5*m + 155. Suppose 2*t + x = 6*t. Round t to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 9. Let t = 73 + -56. Let n = x - t. What is the second biggest value in n, 1, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 51 - 51)*(-2 - 2 + 5 + (0 + 4 - 3)*(-7 + 6 + 8)) to w*u + s and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*x = -5*x + 2, -r + 2 = -x. Let w = -48 + 3. Is r\/(-6)*(w - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*a**2 - 160 - 261 + 806 - 266.\nAnswer: 115*a**2 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 0, -g + 4 = -0*b + 2*b. Suppose -2*u + 2*r = -10, g = 3*u + 2*r - 0. Suppose u*d - 44 = -0. Solve d + 4 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221020 + -12121010?\nAnswer: -20112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60 (b) 0.0118 (c) -2 (d) -3 (e) -0.2 (f) 6 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-63)\/(-15))*(-25)\/(-20). Let y be 2\/9 - (-1)\/9. Let p(z) = -z**2 + 7*z - 5. Let b be p(6). What is the nearest to -1 in t, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*w - 8, 3*w - 2*m + 8 = 7*w. Solve 5 + 6 = -3*n + 4*f, 4*n + w*f + 22 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 32, 64, 120, 206, 328?\n\"Answer: k**3 + 3*k**2 - 2*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.84 + -0.54. Which is the nearest to 0.1? (a) -0.3 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/78 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10)*(-5)\/10*-35. Find the first derivative of g - 24*g + 18 + 2*g - d*g wrt g.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + 69*v**2 + 53*v + 1934. Calculate w(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 - 5*u**2 - 4*u - 8. Let z(b) = -6*b**3 + 5*b**2 + 5*b + 9. Let t(d) = -7*s(d) - 6*z(d). Calculate the remainder when 46 is divided by t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -349 - -351. Suppose 0 = z*s + 2*p - 1692, -6*s - 4245 = -11*s - 2*p. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-1190)\/(-112)) + -2 + 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -12676.\nAnswer: -50704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 4. Let d be g(6). Let b = 0.6 - -4.4. Let j = -1\/38 - 15\/152. Sort d, j, -1\/4, b in increasing order.\nAnswer: d, -1\/4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(36\/(-8))\/(-9). Suppose -2*u = s*c + 10, u - 4*u - 3*c = 0. Let x(z) = z**3 + z**2 - 8*z - 13. What are the prime factors of x(u)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.9 - -39.1. Let k = 61.25 - f. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 13*l - 110 = 0. Let g be -3 + (-77070)\/(-22) - 4\/l. What is g rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 + 348 = -27*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, -1, -43, -31 in decreasing order.\nAnswer: 16, 2, -1, -31, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6*(-2)\/(-20))\/(99\/(-110)). Which is the third biggest value? (a) 9 (b) 4 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 63*d**2 + 434*d - 73. List the prime factors of w(-47).\nAnswer: 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 5 + 3*d**2 + d**2 - d**2 - 2*d**2. Let q(l) = l + 1. Let b(c) = 2*h(c) + 10*q(c). Let j(n) = 6*n. What is j(b(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21771 or -13130?\nAnswer: -21771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 512\/11, -0.083536?\nAnswer: -0.083536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 5 + -7 - (29 + -37).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 0.5, -462, 1\/5, 3?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192166.\nAnswer: 2, 13, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let u(g) = -48*g**2 + 22*g**2 + 24*g**2. Give q(u(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 28 = -13*r. Let a(s) = 3*s**2 + s + 1. Let i = 5 + -6. Let c be a(i). Solve -3*w + 2*p - 9 = -c*p, r*w + 5*p = 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2712, 4936, 7190, 9474, 11788, 14132, 16506?\nAnswer: 18910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*c*g*r**2 - 2*c*g*r + c*r**3*x + 13*c*r**3 - 2*c*r**2 + c*r*x - 2*c*r - 13*g*r**3*x - g*r**2*x wrt r?\nAnswer: 6*c*x + 78*c - 78*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 4*t**2 - 3*t**2 + 4*t**2 - 5*t**2 + 2*t**2 + 4 - t**2 - 4 + (-t + 4*t - 2*t)*(2 - 2 - t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19288 - 50329 = 1225*f - 15717 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12251474 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 13. Calculate the greatest common divisor of n and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -d - 0*q + 22, -2*q + 22 = 4*d. Let t = 80 + -30. Suppose 3*p = 8*p + k - t, 2*p - 17 = -k. What is the remainder when p is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 17)\/(-2)*-1. Let j be (o - 2)\/((-5)\/(-50)). Suppose -3*p + 7*p = j. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 656, 1465, 2604, 4079?\nAnswer: 5896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-400))\/((-3)\/15)*(-32 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110482132*o - 272960972.\nAnswer: 110482132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -568 - -568. What is the second smallest value in 0.25, r, 3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185406719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 - 230 - (24 - -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 84 = 8*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228)*2*5 + sqrt(228)))\/sqrt(12) + -5)**2.\nAnswer: 100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/48*(6 - 4). Let b = 0.06 + 0.24. What is the nearest to b in -2, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9*a = 4*a + 3, -5*a - 4 = 4*t. Calculate the remainder when 211 is divided by (1705\/(-330))\/(t\/6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 11*f - 26. Let u be v(9). What is the remainder when 64 is divided by ((-2)\/(-8) - (-10)\/u) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 37, -0.4, 0 in ascending order.\nAnswer: -0.4, 0, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbbpbbp. Give prob of picking 3 b.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*t**2 + 24*t - t - 23*t as m*t**2 + s*t + h and give m.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/42)\/((-4)\/(-14)). Find v, given that 7 + 2*v**4 + v**5 - 2 - 5 - z*v**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, f: 3}. Give prob of sequence fddf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 137*b. Let w(o) = -3283*o**2. What is z(w(a))?\nAnswer: -449771*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2033*w - 91*w - 35009*w**2 + 35008*w**2)*(4*w**2 - 3*w**2 + 0*w**2).\nAnswer: -w**4 + 1942*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 4400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 0.5, -0.5, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112613 at least as big as 112611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s - 0. Suppose -23*a + 21*a + 2 = 0. Let i = s + a. Solve -3*u + 8 = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/297 and -35\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 13*z - 39. Let r be f(13). Let w = -90 + r. Suppose -k = -3*k + w. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 7. Let n be p(5). Let z be n - -2 - (-8)\/(-4). Let f = z - -5. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -726 greater than -245938\/339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4381 - 4402. What is the nearest to i in -0.2, -2\/3, 0.3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5046 - 5020 = 4*m + 5*n, -2*m + 5*n = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(7875\/70)*273\/(-104)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1881480 by 313580.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 741\/5 (b) -53 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 - ((-7 - (-9 + (-17 - 2))) + -11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 798, 781, 760, 735, 706, 673?\n\"Answer: -2*c**2 - 11*c + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 188?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15658 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(108))*-1 - sqrt(108)) + sqrt(108) + 0 + 1 + sqrt(108))*-3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 + 6*w**2 - 3*w - 7. Let y(a) = -9*a**3 + 14*a**2 - 6*a - 14. Let p(k) = -7*x(k) + 3*y(k). What is the first derivative of p(b) wrt b?\nAnswer: 3*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 16 + 44 = 0. Let q(y) = y - 3. Let i be q(5). Let t be i\/(-7) + (-228)\/(-14). Solve -o = -d + 4*d - u, o = -4*d + t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16804\/9635 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3772 is divided by 3725?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*t**3 - t**2 + 277*t wrt t.\nAnswer: -582*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*k + 1068618*k**2 - 670*k.\nAnswer: 1068618*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -813 - -813. Suppose 3*a - 11 - 4 = l. Let w be 26\/(-8) - 1\/(-4). Put 2, w, a, 24 in descending order.\nAnswer: 24, a, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691485 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 + -89 - ((-11 - -38) + -4).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.21 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*q - 1344 + 201 = 0, 4*l - 904 = 2*q. What is the derivative of l*j**3 - 74*j**3 + 44 + 24 - 23 wrt j?\nAnswer: 459*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56255, 112487, 168703, 224897, 281063, 337195, 393287?\nAnswer: 449333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) 0.31 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 60 (b) 0.5 (c) -0.33 (d) -1\/186 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(315)\/sqrt(5)) + 3 - (sqrt(504)\/(sqrt(32)\/sqrt(4)))**2)*-5.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 26 + 14. Suppose 7 = -b + w. Suppose -b*d = -4*d + 4*o, -3*o = -12. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1 + 22*h**2 + 6*h**2 + 0. List the prime factors of j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.601 + -341.399. Which is the third biggest value? (a) 2 (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-34))\/(93\/(-527)))\/(1\/(-246)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.8 - -53.31. Let n = 0.01 - p. Let k = -7 - n. Which is the biggest value? (a) 4 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17100 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 6*b + 5. Let z(d) = -5*d**2 - 25*d - 19. Let i(o) = -9*l(o) - 2*z(o). What is i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27956808421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 775, 2592, 4473, 6418, 8427?\nAnswer: 10500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 133536, 534133, 1201796, 2136525?\n\"Answer: 133533*r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 + 2*x + 2. Let y be t(5). Suppose 0 = -5*v - 0*v - 4*o + 240, 0 = -3*v - o + y. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3579176 + 33320824 = 2*b. Suppose 0 = -5*n + 20*n - b. Round n to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 25 = -3*p, -p + t = 3*t - 6. Let w(n) = -11*n**2 - 6*n - 3. Let v(b) = -7*b**2 - 4*b - 2. Calculate p*v(g) - 5*w(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 446 - 1210?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**2 + 349*w - 2240.\nAnswer: (w + 64)*(6*w - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.526 + 0.426. Which is bigger: o or 7\/36?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 7*j - 7, -2*p - 11 = 27*j - 30*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25664260 is divided by 1945?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145730 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146478.\nAnswer: 2, 3, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 250.9, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -33. Let i = -8 + v. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-9))\/r*r**(-8)\/r*(r\/(r**9\/r))**(-45) assuming r is positive.\nAnswer: r**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5559\/7 not equal to -2.481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 0.1, -5, -0.04, 2\/5, 1324, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.34 + 4.3398845. What is r rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15645 = -8175. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -2 + 0*c - 1\/24*c**6 + 5\/2*c**4 + 0*c**3 - 11*c**2 - 11\/12*c**5. Factor x(o).\nAnswer: -5*o*(o - 1)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g. Let h(j) = -6*j. Let m(b) = 9*h(b) - 4*r(b). Let a be (-4 + 2)\/((-2)\/3). Let s(f) = 47 + a*f - 47. What is s(m(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 1431.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 2*f**2 - 6*f**2 - 4*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 157064 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.4 (b) 3 (c) -3 (d) -5466 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 7*c**4\/4 + 2*c**3\/3 - c**2 + c + 3. Calculate v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16256, -608, 8 in increasing order.\nAnswer: -16256, -608, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11626733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 3*w + 4. Suppose -9*p + 10*p = 3, -t + 4*p - 15 = 0. Calculate l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:12 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*209\/(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 + u**2)*(-56*u**2 + 51*u - 51*u) - u**4 - 3*u**4 + 0*u**4.\nAnswer: -172*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + m + 19 = 0, 4*u - 13 = 49*m - 50*m. Let a = 21 - 6. Solve -4*z - u*l = -z - 11, 4*z - a = -5*l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 99*p**2 - 95*p**2 + 190*p**2 + 10 + 54*p**3 in the form l + y*p**2 + b*p + w*p**3 and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001037 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -928, -642, -166, 500, 1356?\nAnswer: 2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 199*y - 176. Does 51 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1094\/3 + 366. Factor 0 + 0*g - 4\/3*g**3 + 1\/3*g**4 + z*g**2.\nAnswer: g**2*(g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31861 + 3?\nAnswer: 31864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19bb7 (base 12) to base 2.\nAnswer: -1001010001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 6*j = -6*h - 3*j - 47, 4*h - 4*j + 164 = -2*h - 6*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204343428?\nAnswer: 2, 31, 9712447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 2 + 10*i**2 + 3*i + 2*i - i**3 + 13*i. Let j be o(16). Let g be (-10)\/4*j\/(-25). Let v(s) = s**3 - 4*s**2 + 3*s + 2. Calculate v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/15 - 776*c**4\/5 + 4618*c**3\/3 - 764*c**2 - 92392*c\/15 + 27696\/5 = 0. What is c?\nAnswer: -2, 1, 2, 9, 1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.199 - -0.099. Let n = -5.75 - 0.25. Which is the nearest to 0.2? (a) n (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 15*j - 18*j + i, 31 = -j + 3*i + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (-4*(-2 + (sqrt(98) + sqrt(98)*-2 + -1 - sqrt(98))))**2).\nAnswer: -38502 - 8064*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i + 2 - 2)*(-4 - 2 + 5) - 2*i - 3*i + 4*i)*(i**4 - i**4 - 2*i**4) - 2*i**5 + 2*i**5 - 2*i**5.\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 447 + -441. Let t = 6 + 8. What is the smallest common multiple of h and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8163 - 8161. Solve v + 10 = c, 0 = -4*v - k*c - 89 + 91 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 3*d - 66. Suppose 4*p - 159 - d = -y, 5*y - 4*p = 777. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8836 times -14?\nAnswer: 123704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8160*o + 497766. Give j(-61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:23 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 + -153. Sort 5, t, 3, -5 in decreasing order.\nAnswer: 5, t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**3\/7 - 4922*s**2\/7 - 35368*s\/7 - 63232\/7 = 0. Calculate s.\nAnswer: -608, -4, -13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2782, -2834, -2924, -3058, -3242, -3482?\n\"Answer: -c**3 - 13*c**2 - 6*c - 2762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(74358\/540 + -138)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*h + 2 = u, 3*h = -5*u + 16. Suppose -4*c + x - 80 = -3*x, -c + u*x - 23 = 0. Let s = -4 - c. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*l**3*r**2 + 2915*l**3 + 3*r**4 wrt r.\nAnswer: -152*l**3*r + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2. Let k(r) = -5*r**2 - r**2 + 2*r**2. What is -2*k(t) + 7*z(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120006 or 120005?\nAnswer: 120006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 1. Let b be x(-1). Suppose g = b*u - 2915, 0 = 4*u - 14*g + 18*g - 2920. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -404 <= -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*268540.\nAnswer: 805620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 7, -4, 13, -0.5, 13\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/41))**(-31)\/(s**(-5)\/s**(-28)) assuming s is positive.\nAnswer: s**(-1005\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 12*d**2 - d + 10. Let w(m) = -13*m + 1. Let h be w(1). Calculate the smallest common multiple of 20 and b(h).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + 2*x**2 - 4*x - 5. Let y = 2 + 4. Let j(r) = -r**3 - r - 1. Let s(c) = y*j(c) - d(c). What is s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/40)\/(90\/150). Factor 0 + 3\/4*s**2 - y*s.\nAnswer: 3*s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u**2 - 2*u - 1. Let p be (-2)\/3 + 64\/(-12). Let t(y) be the first derivative of -y**3\/3 - 5*y**2\/2 + 5*y + 1. Let k be t(p). Calculate n(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600496978 a multiple of 1374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/7, 0.2, -11\/6, -3\/31?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/90)\/(8\/20).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-21)*a)\/a*a)\/a)\/(a**8\/a) assuming a is positive.\nAnswer: a**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*a - 2608 = -7792 - 4386 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/6*(-7)\/(-98)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5573, 11135, 16697, 22259, 27821, 33383?\n\"Answer: 5562*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 25*z + 5*i - 5 = 0, -5*z + i = 13. Put -37, -4, z in descending order.\nAnswer: z, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3536 is divided by 685?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -846925 or -846911?\nAnswer: -846911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913916166?\nAnswer: 2, 3, 152319361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65315 = 4411*h - 54307 - 68754 - 96639 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*u + 237. Calculate the remainder when 622 is divided by u.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -2\/5, 0.75?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i**2 - 21*i - 14. Let c(n) = -9*n**2 - 21*n - 14. Let z(k) = -3*c(k) + 2*h(k). What is the units digit of z(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1046085?\nAnswer: 7\/1046085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4\/2 + 71*b**3\/2 + 207*b**2\/2 + 205*b\/2 + 34 = 0.\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029\/(-699) + (-1592)\/(-24)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26287262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -496 - (4 - 7\/(7\/8)). Let m be (1\/(-2))\/(3\/j). Let i = m + -29. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -23. Let c = f + 41. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z + 30. Let j(k) = k**2 + 5*k + 6. Let p = 4562 + -4554. Calculate the remainder when j(z) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122398 - -278219. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 4\/52)*-1. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48392357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*h + 8271 - 1885, 0 = 3*a - 2*h - 19192. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*a, -3*a - 2 = -2*a. Let r be ((-84)\/40)\/7*l. Let u(y) = -y**2 + 2*y + 8. Let w be u(3). What is the smallest value in -4, r, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 147*l**2 - 23*l**2 - 146*l**2.\nAnswer: -316*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, o: 4, d: 1, r: 1}. What is prob of sequence or?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -5.1. Let b = -8 - -10.2. Let x = b + f. What is x rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -886 - -803. Let v = -136 - o. Let h = 1 - 0.5. What is the closest to 0 in 0.4, v, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**2 - 6*y + 6*y)*(0*y**3 - 4*y**3 + 2*y**3) + 122*y + 185*y**5 - 122*y.\nAnswer: 203*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -463 - 275. Is (-3)\/(-12) + l\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24337488751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3855119ms?\nAnswer: 385511.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 l when four letters picked without replacement from lsgls?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -17, -15, -13, -11?\n\"Answer: 2*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 1891 + 1694 - 3566.\nAnswer: -17*y + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 4. Let c be n(8). Suppose 2*m = -4 - c. Sort m, -3, 4 in descending order.\nAnswer: 4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 4. Calculate z(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049543 take away -1?\nAnswer: 0.950457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 139604600 = -24649844. Let c = 58363611 + b. What is c rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m + 3*p + 188, -4*m - 2*p = -188. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -279, -406, -523, -630?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1052\/22 + (6\/(-11))\/(-3). Calculate the highest common factor of 64 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -543 + 453. Calculate the remainder when ((-140)\/s)\/((-6)\/(-99)) is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/14 (b) 3\/2 (c) 21.8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -29. Let o be ((-34)\/p)\/(2\/12). Solve 6*a + o + 0*a**2 - 3*a**2 - 37 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -936 + 1026. Solve 4*l + 94 = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 391. Let l(k) = 38184*k. What is s(l(u))?\nAnswer: 2916035712*u**2 - 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 2*g + 3. Let o(s) = 2*s**2 + 3*s + 5. Let m(j) = 6*o(j) - 11*x(j). Suppose -8 = -2*l, 2*n - 4*l - 22 = 12. Let p = n + -21. Calculate m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 783*h - 784*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13332600?\nAnswer: 2, 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000177860076 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-3375)*-45*5*(-777)\/(-70).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/315 and -113\/1365?\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.16 rounded to 1 dp?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j - w = 1316, j + 5*w = 350. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 - 0.59. What is the biggest value in 0.4, j, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4204.087 + -4204.2. Which is smaller: -0.5 or o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.68561 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/4 (b) 23 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taat when four letters picked without replacement from vsaeaeeaeets.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132578157 to the power of 1\/2, to the nearest integer?\nAnswer: 11514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 85480827 divided by 2\nAnswer: 85480827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/480 and 27\/40.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z + 10 = 63 + 25. Solve -z*s + 18 = 5*i, -2*i = s - 17 + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 666.5 + -666.499996485. What is l rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/2 + 33*l**2\/2 - 453*l + 3. Let h(v) = -2*v**2. Determine h(y(p)).\nAnswer: -72*p**4 + 792*p**2 - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/60 + 5*i**4\/8 + 15*i**3\/2 + 22*i**2. What is the tens digit of v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 1028\nAnswer: -1028.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 10*x**2 + 15*x + 27. Give b(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v - 4 + v + 3. Let q be y(-2). Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**3 + 1 - 2*r - 1 - 9*r**3 + r**2 to the form n*r**3 + m + v*r**2 + o*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/66 and -141\/333740.\nAnswer: 1001220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9551, 5, -3, -2, 2 in ascending order.\nAnswer: -9551, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4518*b - 149280. Give y(-33).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/44, 1, 3 in descending order.\nAnswer: 3, 1, 13\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 363 + -362.9999759. What is k rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3910 + 18?\nAnswer: -38d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -2.7. Let w = 0.4 - t. Let q = -1 - -2. What is the second smallest value in 0.1, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -29, -25, -5, 37, 107, 211, 355?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20087 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199 + -958. Let q be ((-28)\/(-8))\/(-7) - b\/6. Calculate the greatest common divisor of 189 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35750725945.7 and -1.05?\nAnswer: 35750725944.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:57 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21622)\/(-8) + (-81)\/108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11250 and 17625?\nAnswer: 528750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcmtmmmmtctccmttm. What is prob of picking 3 c and 1 m?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 2*s - 6. Let t be c(11). Suppose t = 3*v - 0*v. Suppose -5*b - 36 = -v. What is the smallest common multiple of 4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1a29be?\nAnswer: -1a29b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1914.304 in -2, 5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -261, -419, -555, -663, -737?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c02 + -5?\nAnswer: -1c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 127. Determine p(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**21*v**(-4))**(-18) assuming v is positive.\nAnswer: v**414","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-60)\/(-9))\/((-10)\/(-75)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -355?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -405.8.\nAnswer: 406.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.8 in 0.2, -0.096, 3\/4, -0.3, 58?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77117 is divided by 4272?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 101 = 6*o + 3*j, -2*j + 10 = 0. Let i be o\/90 + 4\/10. Let m = i + 1\/9. What is the third biggest value in 0.4, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 4:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*d - 52 - 213*d + 100*d)*(-d**2 + 0*d**2 - d**2).\nAnswer: 12*d**3 + 104*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = u. Let v(p) be the first derivative of u*p + 0*p**2 + 5\/4*p**4 - 4 + 4\/5*p**5 + 1\/6*p**6 + 2\/3*p**3. Let v(r) = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - g - 5 + 5. Let r(t) be the second derivative of -t**6\/180 - 5*t**4\/3 + 3*t. Let c(b) be the third derivative of r(b). What is 3*c(j) - 4*l(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -20. Suppose -x*o = -62*o - 18. Let a(f) = 135 - 4*f**3 + 8*f**2 - 145 + 0*f + o*f**3 + f. Calculate a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -1\/15*r**5 + 0 + 0*r + 4\/3*r**4 - 32\/3*r**3 + 7*r**2. Factor i(c).\nAnswer: -4*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4. Suppose -3*r - 6 = -r - 3*b, r - 10 = -5*b. Suppose r = 4*m + 8, -2 = v + 3*v + 3*m. Sort v, 2, i in ascending order.\nAnswer: i, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 451*v**2 - 3. Suppose -4 = -x - 2. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248.7 - 249. Which is the fifth smallest value? (a) -4 (b) -7 (c) 14 (d) 0.2 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, -4, -1, -180, 4 in increasing order.\nAnswer: -284, -180, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1720.\nAnswer: 1\/1720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 + 8*x + 5. Suppose 2*d + 21 = -5*f - 11, 3*f + 5*d = -23. What is m(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)*b)**37*(b*b\/((b**2\/b)\/b))**1 assuming b is positive.\nAnswer: b**(589\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30\/4*(-24)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-900)\/17325)\/(2\/(28\/2))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66129512*z**3 + 55*z**2 + 58366.\nAnswer: 396777072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-39) + (-2518)\/26. Let j = c - -102. Solve n = j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636 is divided by 363.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from jjjjjoiijjioijrj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {m: 1, f: 1, s: 1, a: 2, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 8928693*g**2 + 35714784*g - 35714788.\nAnswer: -(g - 2)**2*(g + 8928697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f**3 - 538697*f**2 - 314256*f + 538704 = 0 for f.\nAnswer: -4\/3, 3\/4, 44892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/240 + b**5\/40 - b**3\/3 - 27*b**2. Factor t(j).\nAnswer: -(j - 2)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28260322 rounded to the nearest 10000?\nAnswer: 28260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -2004748.\nAnswer: -2004748, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34)\/(-14) + -2 + 862\/14 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-15)\/(-90)*72\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 6*a)*(0*a**2 - 2*a**2 + 0*a**2) + (-7*a + 0*a + a)*(0*a**2 - 2*a**2 - a**2).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 11. Calculate d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -18. Let o = 32 - w. Let i = o - -2. Solve -3*v - a + 16 = 0, 17 = 4*v - 3*a - i*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(3045\/120))\/(70\/(-2695))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4403, -2, 10 in ascending order.\nAnswer: -4403, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 15, 10, 4, 1 in descending order.\nAnswer: 15, 10, 4, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -162ead - 4?\nAnswer: -162eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(720) - 5*sqrt(720)) - sqrt(720)) + 1 + (1*(sqrt(30) + sqrt(120)))\/(sqrt(18)\/sqrt(3)*3))**2.\nAnswer: -598*sqrt(5) + 447006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 equal to 2936\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237 and 4.13.\nAnswer: 978.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3547223954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -3\/404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 + 16*u**3 - u + 3*u**3.\nAnswer: 31*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 314 + -115. Let c = 492 + p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14527206353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1842, 1840, 1838, 1836, 1834, 1832?\n\"Answer: -2*y + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5948897741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1045181 and 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 747*b**2 + 2. Let a(t) = t. What is a(g(d))?\nAnswer: 747*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -160, -199, -254?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743683414?\nAnswer: 2, 11, 61, 1299317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6*x = 3*x - 120, 0 = f + 3*x + 24. Is 14 a factor of (f\/20)\/3*-140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*v)**(-16)*(v*v\/(v\/v**(-19))*v)**(-24) assuming v is positive.\nAnswer: v**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 65428.92?\nAnswer: 65410.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.82 + -1.52. What is the closest to -1 in -1\/10, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 53129.630511173.\nAnswer: 53127.630511173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(242) + -2)*4 + ((sqrt(72) - (sqrt(72) + -2*sqrt(72)))\/sqrt(12))\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: -360*sqrt(2) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3523634.\nAnswer: 2, 1761817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 72 = -5*w. Calculate the remainder when 69 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 3:01 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 118081836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 42*p**2 + 20*p. Let v(c) = 6*c**3 - 251*c**2 - 130*c. Determine -39*j(w) - 6*v(w).\nAnswer: 3*w**3 - 132*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*u**3*x + 75*u**3 - u wrt x?\nAnswer: -42*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 92 = 5*u + 107, 5*a - 6 = 2*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Suppose 5*j = -10*j + j. Let m(i) be the third derivative of j*i**3 - 2*i**2 + 0 + 1\/24*i**4 + 0*i. Calculate c(m(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**4)\/(c\/c**(-3\/2)))\/(c**(-24)\/((c*c*c\/(c*c*c**(-2)*c)*c)\/c)) assuming c is positive.\nAnswer: c**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -158. Let h = u + -1622\/9. Is h smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -228, -237, -260, -303, -372, -473?\n\"Answer: -j**3 - j**2 + j - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.13, 2.5, 2\/13, 0.4 in decreasing order.\nAnswer: 2.5, 0.4, 2\/13, -0.13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - 27, 2*j - 2967 = 5*r. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = 6*z - z, 0 = -5*z - h - 4. Suppose 4*p - 8*p + 184 = z. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2770.02414 - -2770. What is q rounded to 4 decimal places?\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2769150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6) - 6\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*76\/(-38)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2)*20\/16. Determine f, given that n*f**2 + 4 - 5*f - f**3 - 2 - f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -5*h. Suppose 2*r - 3 = 3*r. Let k be r*12\/44 + 1. Which is bigger: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 727, 1222, 1805, 2476, 3235, 4082?\nAnswer: 5017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1822*k - 1474007. Determine g(-809).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/360 + o**4\/24 + 7*o**3\/6 - 4*o**2. Let l(i) be the first derivative of y(i). Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 100210?\nAnswer: -100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6571470 (base 8) to base 14.\nAnswer: 33d932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022200100211 (base 3) in base 10?\nAnswer: -702292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = 4*r, -5*s = 7*r - 2*r - 15. Let q = -62.51 - -63. Let u = 0.39 - q. What is the nearest to u in -5, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 18*u + 19*u + 390, -3*u = 2*b - 156. What are the prime factors of -2 - ((-44720)\/b - (-1)\/3)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(22) - (sqrt(792) + sqrt(22))*2))\/sqrt(2))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/10)\/(126\/(-64) + 2). Let c = 77 - f. What is the remainder when c is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (-1 - 0 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:56 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147*u + 1905*u + 3138*u + 12228*u.\nAnswer: 19418*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Let d = a - -4. Put d, 3, 7 in increasing order.\nAnswer: 3, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 2*l)*(7*l**2 + 22 - 22) - 516*l**3 + 0*l + 360*l**3 - l - 1386*l**3 to the form h*l**3 + q*l + a*l**2 + t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from fffr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*1 - 363\/22. Is r at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 173*(-34)\/384 - 6\/(-27). Let x = t - -136\/9. Calculate the common denominator of 21\/22 and x.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 18 + 22. Suppose 2*d + 2*i - 442 = -50, r*i = 5*d - 989. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.3 and 171728884.9.\nAnswer: 171728882.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-4*(-59)\/236. What is the tens digit of (-8762)\/(-26)*x*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 11*v = -57 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70688.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {u: 2, c: 4, x: 2, w: 3, g: 1, e: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 8 + -13 + 6 + (24 - 10) + -5?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 1315619.\nAnswer: 37\/1315619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k + 1. Let t(a) = 2*a**2 - 13*a + 23. Let d(n) = -l(n) - t(n). What is d(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/236)\/(726\/(-1936))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7685.\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916705 is divided by 76641.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7345 (base 9) to base 15\nAnswer: 18e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*(6*124*(-3)\/504)\/1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126128 - -216577. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 - 2948*m\/13 - 8862\/13.\nAnswer: 2*(m - 1477)*(m + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43884, -43818, -43670, -43410, -43008, -42434, -41658?\n\"Answer: 5*f**3 + 11*f**2 - 2*f - 43898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-2)\/(-8))\/((-294)\/56)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 - (1 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*(5*g**2 - 3*g**2 - 10*g**2) + (-5*g**2 + 3*g**2 + 0*g**2)*(1 + 2 - 5).\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.06*5.\nAnswer: 195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 3\/40*s**5 + 9\/8*s**2 - 1\/120*s**6 - 1\/4*s**3 + 3*s - 50 - 1\/6*s**4. Solve i(c) = 0 for c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -218636?\nAnswer: 3\/109318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-2*sqrt(11) + sqrt(11)))\/((-1*sqrt(18))\/sqrt(9))*4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, j: 1, t: 1, a: 3}. Give prob of sequence dg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 17. Suppose -5*i - 3 = -p, 0 = -w + 3*i - 1142. What is the tens digit of w\/(-24)*(-3)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/15283 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7558109\/3048 + 141\/1016. Let l = 2459 - z. Calculate the common denominator of l and ((-123)\/54)\/((-1)\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -26*t - 72. Does 9 divide (-3325)\/(-10) + t\/4*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**4\/24 - 11*d**3\/6 + 2*d**2. Let j be z(-9). Suppose 4*h + 2*s = 2*h + 4, 4*h + 16 = 2*s. Is j greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, e: 5, z: 1, l: 2}. Give prob of picking 1 l and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 109 = 101 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118 + r + 42 + 82)*(-r**2 + 2*r**2 - 2*r**2) to the form o + z*r**3 + u*r**2 + g*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + -132. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9414 and 9414.\nAnswer: 9414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 80 + 32 = -3*n, 5*n - 102 = 14*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2*-5)\/((sqrt(120)*1)\/sqrt(10)) + ((-4 + sqrt(700))*-5)**2 + sqrt(700) + 2)*-4.\nAnswer: -71608 + 8000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115254, -461009, -1037270, -1844043, -2881334, -4149149, -5647494, -7376375?\n\"Answer: -h**3 - 115247*h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -58, 4 in descending order.\nAnswer: 4, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 8:19 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 20 + 44 = -32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2974.03356 - -2974. Round z to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.4281487 - 8.55815. Let t = 0.13 + r. What is t rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/28 and 9\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 5. Give c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 254763304?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(9) + (-1*sqrt(441) - sqrt(441) - sqrt(441))))\/((sqrt(24)\/(sqrt(8)*2) + sqrt(3))*-6)*2 + -3.\nAnswer: -3 + sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 + 36*f**3 - 189649*f**2 + 28*f - 184929 wrt f?\nAnswer: -24*f**2 + 216*f - 379298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 8*d**2 - 7*d + 2. Suppose -o + 3*v + 17 = -2*o, v = -3*o - 19. Let r be n(o). What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76)\/(-2)*(-1 - -3). Let q = -38 + z. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3) + -2 - (sqrt(108)*4)**2.\nAnswer: -1734 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**4 - 5*m**2 + 5*m**2 + (-10*m + 10*m + 25*m**3)*(2*m - 4*m + m) - 4*m**4 - 3*m**4 + m**4 to l*m**3 + o*m**2 + v*m**4 + r + d*m and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 58 = -5*n, 70 = -9*n + 4*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -146. Is d != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + 1 + (-3*sqrt(171))**2*-3.\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -11, -1 in descending order.\nAnswer: 0, -1, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + -2. Let m = -27 + 26.5. Let i = r + m. Which is the third smallest value? (a) 4\/3 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145158944?\nAnswer: 2, 7, 53, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6780, -6779, -6778?\nAnswer: -6777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -46*l**2 - 19*l + 21869. Let z(c) = -5*c**2 - 2*c + 2429. What is 2*j(b) - 19*z(b)?\nAnswer: 3*b**2 - 2413","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -122980.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 5*f - 2. Give l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*k**2 + 32*k - 32*k)*(4*k - 4*k + 3*k**2) + (-1 - 1 + 0)*(3*k**4 - 3*k**4 - 2*k**4).\nAnswer: -41*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 29*f - 4. Solve -2*s = -s + f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + q. Suppose -3*n - 2 = -4*j - 14, 0 = -3*n - 4*j - 12. Suppose 5*p + n = 10. What is the remainder when p is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 + 117*y**4 - 4314*y**3 + 39770*y**2 + 368139*y + 620289.\nAnswer: -(y - 41)**3*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -186 + 163. Suppose 21 = -2*k - 21. Is k bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-11\/4)\/n)\/n*n)\/(n\/n**(2\/35)*n))\/((n\/(n\/n**(-11\/4))*n)\/n*n**17\/n))**(-1\/8) assuming n is positive.\nAnswer: n**(663\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 915673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f**2 - 27*f**2 - 2*f**3 + 1 + 1 - 3*f**4 + 4*f**4 in the form x + z*f**4 + w*f + h*f**3 + b*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-20) - (-2)\/5. Let w = 60 + -29. Let u = -30.9 + w. What is the closest to u in j, -3\/2, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -423 - -495. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5*g + 10*g - 5*g)*(-3 + 3 + 2)*(-g + 0*g - 4*g)*(-3*g + g + g) as x*g**3 + a*g + u + o*g**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2592*w**2 + 165*w - 2221. Is r(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824 divided by 479?\nAnswer: -1824\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48276783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.6 (b) -2 (c) -0.19 (d) 18 (e) 1 (f) -0.4 (g) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -111790 and -111780 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*x - 317*x = -w + 376, 724 = 2*w + 4*x. Calculate the remainder when w is divided by 96.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + f + 1. Let y(h) = h**2 - h - 1. Let l(d) = c(d) + y(d). Factor l(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27779.4 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 19*g + 2. Let w be m(-19). Differentiate w - 6*x + 3 + x - 2*x with respect to x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -3, -0.163?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1825*g*v**3 - 206*g*v**2 + g wrt v.\nAnswer: -10950*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.256 * 2108.\nAnswer: 539.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, u: 8, i: 1, g: 2}. Give prob of picking 1 u, 1 i, and 2 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - -6 - ((18 - 14) + -25 + 39)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2967 - -2978. Sort -3\/5, 2.2, 0.2, d.\nAnswer: -3\/5, 0.2, 2.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - v + 0*v**2 - 17*v**2 - v**2 as z*v**2 + u + p*v and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 5:25 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g - 4*g**2 + 101*g - 23*g + 2*g**2 as j*g**2 + x + m*g and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 51 = -w + 2*j, -j + 35 = w. Let s = -151 - -251. What is the remainder when s is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64399078\/349615 - 1\/69923. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10808*s**3 + 3*s**2 - 3*s**2 + 73350*s**3.\nAnswer: 62542*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:05 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/37 or 31886?\nAnswer: 31886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1808056685 to the nearest integer?\nAnswer: 42521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604626 is divided by 708.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*g - 0*g + 170, 2*h - 290 = -5*g. Let w be (3 - 0)*5*1. Let l be w*(-1)\/((-6)\/4). Calculate the greatest common factor of l and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -942, -93, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*4*-2*5 + 1)**2.\nAnswer: -560*sqrt(2) + 156801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -260*g - 118. Let a be t(-14). Suppose -7066 = -4*p - 5*o, -2*p - 3*o - a = -4*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12*u - 91. Let g be d(8). Suppose 4*a - g*x - 12 = -3*x, 0 = -3*x. Solve 0*m - a*m = -y - 2, 5*y = -2*m - 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205887544 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 9) to base 16.\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48 + -0.28. What is the closest to -2\/3 in 0.07, -2\/23, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 58704 and 58704 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 3*s - 20. Give t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 - 298. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(2\/15)\/x)\/x)\/x**(-6)*x*x*x\/(x**(2\/15)*x)*x*x\/x**5)**(-1\/3) assuming x is positive.\nAnswer: x**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -3, 4, -870.\nAnswer: -870, -6, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25151 + -25111. Solve 58*t + 98 = -p*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = 0. Suppose -5*s + 56 + 4 = d. What is l in -3*l**4 + 12 - 9*l**2 - s - 9*l**3 - 3*l = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/2142 and ((-214)\/112 - (13 + -13)) + 82\/287.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.36 (b) -3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -207, -701, -1205, -1719, -2243, -2777?\n\"Answer: -5*a**2 - 479*a + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199 and 28652418?\nAnswer: 28652418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/3 + -1 + -10 + -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2\/13 (b) 3\/2 (c) 3 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 7807934 - 7807934 - 8*h.\nAnswer: -9*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 + (-84)\/(-2). Suppose -2*t + d = -10. Calculate the common denominator of -26\/7 and (2 + (-3)\/6)\/((-5)\/t).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**3)\/((v\/(v*v**(1\/4))*v)\/v)*((((v\/(v*v*v**(1\/4)))\/v)\/v)\/v)\/v**(1\/3) assuming v is positive.\nAnswer: v**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 73317, -15, 4, 0, -5 in ascending order.\nAnswer: -15, -5, 0, 4, 73317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 24278*w**2. Let g(d) = 4*d**2. Calculate g(a(j)).\nAnswer: 2357685136*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*q**2*v**3 + 7*q**2*v**2 + 4*q**2 - 697*v**3 wrt q?\nAnswer: 26*q*v**3 + 14*q*v**2 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14958 and 64098.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 111.85 and 0?\nAnswer: 111.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -136300000 rounded to the nearest 1000000?\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(16\/(-48)*9). Put 10, -8, o, -2, -7 in decreasing order.\nAnswer: 10, o, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)*(3 + -2 + -2). Solve 0 = y*g - 13 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -676 or -717?\nAnswer: -676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 736868 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5559875 a multiple of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -14.1 (b) -0.1 (c) 1\/5 (d) 0.5 (e) 679053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {g: 1, n: 1, f: 2, l: 1, s: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 991319.6 decades in months?\nAnswer: 118958352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4542862 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4997947 and 0.2.\nAnswer: -999589.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/33 - (-348)\/462?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 - 470*w - 12*w**2 + 470*w + 2*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:01 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110122102221201 (base 3) to base 14\nAnswer: c6d2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g = 135*g + 27*g - 1288 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(363) + 2 + -2*(0 + sqrt(3) + sqrt(3)*-1).\nAnswer: 3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(1782))\/(-4*-2*sqrt(18)).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 - 0.4. Which is the second smallest value? (a) -6 (b) u (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 + -157. Let z be 2*(v - (-54)\/(-12)). Calculate the highest common factor of 49 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6171, 26853, 61323, 109581, 171627, 247461, 337083?\nAnswer: 440493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 140*h + 1330 = 57*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -249\/10 - -25. Let w be (1\/3 - -1) + -1. Sort w, x, -3.\nAnswer: -3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/6, 1, 18, 5\/8, -4, 0.0289 in descending order.\nAnswer: 18, 4, 1, 5\/8, 1\/6, 0.0289, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236477.9 meters in nanometers?\nAnswer: 236477900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -416628092*h**2. Let w(i) = i. What is p(w(g))?\nAnswer: -416628092*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44434541 (base 6) to base 9.\nAnswer: 2465417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132.4 - 130. Let p = 1107.83 + -1105.42974. Let m = p - i. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 - 655 = -23*h. Let z(q) = -3*q - 8. What is the remainder when h is divided by z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93153?\nAnswer: 3, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*u**2 + 618*u**2 - 11*u + 544 + 3038*u**2 - 136 + 1639*u**2 wrt u?\nAnswer: 10662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -9*n**3 + 5*n + 6. Differentiate r(f) with respect to f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = p + 12, 2*p + z + 6 = 5*z. Let r(f) = f**3 + 7*f**2 - 5*f - 20. Let o be r(-7). Suppose o = -2*h + 9. Put -22, p, 2, h in descending order.\nAnswer: p, 2, h, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - x**2 + 7*x**4 + 2 - 2*x**3 - x**2 to r*x**4 + y*x + p*x**3 + b + f*x**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 16*f = 64. Suppose 6 - 3 = -x. Which is the nearest to 0.2? (a) 0.5 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.78304 meters in nanometers?\nAnswer: 18783040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9) - 7\/(105\/80). Is h smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379601098*t**3 + 166319047*t?\nAnswer: 2277606588*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -1265, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*j = 2*j - 2, 8 = 2*l - j. Put -1, -3, l in decreasing order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 + 7)*(-2 + 2 - 3)*(1 + 2*t - 1).\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -1.08 (c) -17 (d) -12 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12905 or -64531\/5?\nAnswer: -64531\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - x - 13 = -9*c, 5*c = 2*x + 11. Solve c*b = 5*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22002132313 - 11?\nAnswer: 22002132302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 + 26 + 41)*(35*y**2 - 35*y**2 + 3*y**5 - y**3 + 3*y).\nAnswer: -267*y**5 + 89*y**3 - 267*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 114. Is 2\/(-10) + 1744\/n + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6373035?\nAnswer: 3, 5, 141623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w + 57. What is f(10)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 - k**2 + k - 9. Let l(h) = h**3 - 2. Let x(r) = -2*i(r) + 9*l(r). Let m be (-2)\/(-5)*(-3 + 8). Does 14 divide x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85045616?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/27*2 + 3276\/4860\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -44*n**2 + 3*n. Let p be v(2). Let w be 6\/(-4) - (-2363)\/(-14). Let f = p - w. Which is the second biggest value? (a) 3 (b) -2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 21. What is the units digit of (-882)\/(-35) - 8\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.23 - 0.27. Let f = q + 0.5. Put 5, 1, f in increasing order.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 116.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-20))\/(-1) - (-1840)\/200?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -268*r + 6035. Determine c(26).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*z - 18 = 0, -19 = n + 2*n + 5*z. Let o(x) = -2*x + 0*x + 0*x - n*x. Let d(v) = 3*v**2 - v**2 - v**2. Determine d(o(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/3)\/((-8)\/(-96)). Let t = -11 + s. Is 6*(78\/t + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31887939554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2*q**2*r*s - 53*j**2*q*r + 7*j*q**2*r + j*q*r + 6*q**2*r*s - q*r*s + r wrt q.\nAnswer: 8*j**2*r*s + 14*j*r + 12*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 2:59 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 4732*b**3 - 1165152*b**2 + 144000576*b.\nAnswer: -4*b*(b - 89)*(b + 636)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let j(v) = 5*v**2 + 7*v - 7. Let n(s) = -s + 1. Let u(b) = -j(b) - 3*n(b). What is 4*t(f) + u(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*p + 4*p, 0 = 4*g + 2*p - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -9*c + 13. What is the highest common divisor of c and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 238846732?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:35 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80734876, -80734877, -80734878?\n\"Answer: -p - 80734875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 less than 0?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33063 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35968780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1778488 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7242 plus -489.093179?\nAnswer: -479.368979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 9 - 20 - 5 + 2*n.\nAnswer: 2*n - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 11 = -5*p - 4*r, 0 = 4*p + 3*r - 10. Suppose 5*u = 3 - 8, -u = s - 10. Let c = 7 - 4. Solve 3*m + 2*t - s = 0, m = c*t - p - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = m - 3*m. Let s(v) = -v**3 - 17*v**2 - 65*v + 48. Let k be s(-10). Which is the closest to k? (a) -1 (b) m (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-111)\/(-3))\/3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 36 + -12 + -10 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 35, 31, 25, 17, 7?\n\"Answer: -v**2 + v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561\/14 + -39. Is 1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 11. Suppose 3*u + u + 20 = 2*h, -5*h = 4*u - 36. Let w be s(h). What is the units digit of (-1)\/w*(1 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049 - 0.051. What is the third smallest value in 0.3, 2, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 50 = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2312485597 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.7. Let d be 80 - 2*(-1)\/2. Let f be (d\/6)\/3 - 3. Which is the smallest value? (a) x (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265601 and 13376?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 8\/3 - 15\/(-9). What is the nearest to j in 5, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -61. Factor 6*u**5 - 48*u**3 + k*u**3 + 10*u**4 + 2*u**5.\nAnswer: 2*u**3*(u + 1)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536382 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -270*v - 738*v**2 - 321\/2*v**3 + 0 - 15\/2*v**4 = 0. What is v?\nAnswer: -15, -6, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -10\/27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 8*n**2 + 8*n + 12. Let h be g(9). Let z be (-160)\/60*h\/(-2). Solve -z*w + 0*w = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.48 and -3.8.\nAnswer: -9.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 minus 10829.2?\nAnswer: -10829.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -30. Let g = -2 - -18. What is the remainder when l is divided by 0 + -20*(-12)\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w - 5*w - 6*w)*(0*w + 2*w - w) - 517 + 517 - 79*w**2.\nAnswer: -99*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62545 - -2251771\/36. Let u = 209\/4838 - -4573459\/2539950. Let r = 133\/25 - u. Calculate the common denominator of w and r.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -320*s**3 - s**2 + 3*s + 4. Let d be b(-1). Suppose 30 = 14*q - d. What is the greatest common factor of 90 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 734927?\nAnswer: 19108102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/3 + 4\/6. Let d be ((-136)\/(-17))\/(-32) - (18\/(-8) + -2). Let t = 11 + -8. Solve -2*k - c = -t*v, k - 2*k = d*v - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -28. Suppose 5*y - 10 = 5. Suppose -y*p - 3 = -g. Calculate the remainder when 4 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + h**2 + 7*h + 4*h**2 + 33 + 5*h. Let m be v(-7). Let d be (m\/(-4))\/(5 + (-29)\/6). Solve -o = -5*u - 30, -2*u - d = o + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502 + -236. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 16 = 5*v. Let w be ((-8)\/3)\/(v\/(-6)). Suppose -w*j + 8 + 0 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3593379 and 0.2?\nAnswer: -0.07186758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -8\/3*q**3 + 0*q - 9 - 2*q**2. What is the second derivative of k(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3*f**2 + 11*f**2 - 16*f**2)*(6*f**3 - f**3 - f**3).\nAnswer: -8*f**5 - 52*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 4*s - 3*s)*(-632*s**3 - 4459891 + 2*s + 4459891) in the form p*s**4 + h*s + n + b*s**2 + z*s**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9263 + -475.440267?\nAnswer: 8787.559733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11418 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2\/(-6)*40\/(-16)*36. Let x = -41 - -3. Let g = x + n. Solve 3*c - 2*h = -7*h + g, 4*h = 5*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*((n*n**(-1\/4))\/n*n)\/n))**43*(n**(1\/2))**(-4\/15)*(n**(-7)\/(n\/n**0))**(-8) assuming n is positive.\nAnswer: n**(4477\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 19*y + 16. Calculate p(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*p + p + 3 = 0, 5 = n - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 82, 138, 190, 238, 282?\n\"Answer: -2*f**2 + 66*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 31. Suppose 5*q - 15 = 0, -o + 5*q = x*o - 471. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d - 20*d - 16*d + 83*d - 21*d. Let p(f) = -13*f**2 + f. Give r(p(l)).\nAnswer: -26*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -765 or -4?\nAnswer: -765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002060663 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-1)*i)**31)**(27\/4))**14)**(7\/4) assuming i is positive.\nAnswer: i**(123039\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - 35. Let i = -30 - d. Let h = i + -30.9904. What is h rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8232)\/11760*(-15)\/63*1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -163.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + i - 6. Let b be f(0). Suppose 0 = 2*s - 20 + 4. Let t = b + s. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**0\/p))**(-4\/9)\/(p*p**4*p**(2\/17)) assuming p is positive.\nAnswer: p**(-919\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*z + 53*z + 78. Let f(c) be the second derivative of -32*c**z + 8*c**3 + 0 - c**4 + 1\/20*c**5 + 35*c. Factor f(l).\nAnswer: (l - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*s - 42 = 0, 120 = -7*p + 3*p - 4*s. Let j = -79\/3 - p. What is the second smallest value in -3, -5, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76 - -4?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 623 + 2680. Is (h\/12)\/(4 + (-87)\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.84 * -0.1\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3\/3 - 7*r**2 + 27*r - 3. Suppose -6*m - 11*m = -204. Let y be a(m). Solve -5*q = -4*c - 0*c + 1, 5*c = 2*q - y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/(-18) + (-55)\/22. Let k(u) be the first derivative of 1\/6*u**2 - 11 + 23\/6*u**4 - 2\/3*u + 34\/15*u**5 + n*u**3 + 1\/2*u**6. What is f in k(f) = 0?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 613?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.342023 millimeters to micrometers.\nAnswer: 342.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905, 3649, 8223, 14627, 22861, 32925?\nAnswer: 44819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -4, -7, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10812 - 15*n**3 + 25*n - 21621 - 15*n**3 + 10813 to the form w + b*n**3 + m*n + d*n**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + ((sqrt(36) + sqrt(900) + -2*sqrt(900) + sqrt(900))\/(sqrt(108)*-1 - sqrt(108) - sqrt(12)))**2*-5).\nAnswer: 30\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15953, -31567, -47179, -62789, -78397, -94003?\nAnswer: -109607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/27)\/4*109\/(40766\/561).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -487 - 598. Let p = -147 + n. Solve p*u - 6*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 25585.\nAnswer: -29\/25585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10367257 and 48493?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:18 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r. Let f(d) = 496916*d. Give f(m(b)).\nAnswer: -2484580*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 1212.\nAnswer: 15756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.9 + 8. Which is the nearest to f? (a) 0.5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/593681286 and 97\/132.\nAnswer: 1187362572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13679 - -15028. What is the least common multiple of 2 and q?\nAnswer: 2698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3669 - 3669 - 4*n. Let l(w) = 4*w. Calculate -3*l(z) - 4*m(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 less than -1302?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -11 - -41 - 84.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.55 + -0.05. Which is the biggest value? (a) -0.3 (b) u (c) -0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971035.\nAnswer: 3, 5, 103, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*y + 3*y = 0, 5*f - 12 = 3*y. Let u be -1 - ((-10)\/f - -2). What is the third biggest value in u, 3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4222 - 4222.000000864. Round v to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-55) + 8\/(-5). Let o = -0.3 + 0.4. Put c, -4, o in increasing order.\nAnswer: -4, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 w when four letters picked without replacement from wkkwkwjkkj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-3)\/(-48)*(4824\/(-540))\/(-67)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 1523.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 3*w - 2*w - 2*w**2)*(-420 - 11257 + 1800).\nAnswer: 19754*w**2 - 9877*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/30*10\/4. Let u = 7 + -2. Let h = 3 + -2.9. Which is the nearest to h? (a) u (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from ssvcvjcsvsjvs?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44287 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -1026. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n - 2*n. Which is the fourth biggest value? (a) -0.16 (b) n (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17004 > -17005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 816*i + 139. Does 13 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6 = 3*g, -2*f - 324 + 326 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-11))\/(3521\/(-38731))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. What is the third derivative of -5*w + n*w**2 + 5*w - 2*w**4 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5\/4 + 259*w**4\/2 - 1161*w**3 - 7059*w**2\/2 + 96487*w\/4 - 19560 = 0.\nAnswer: -5, 1, 3, 32\/3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -246 + 2*k**4 + 245 - 3*k**2 - 4*k**2 + k**2 - 5*k**4 - 3*k in the form b + x*k**2 + f*k**4 + p*k + g*k**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-4 + 3)*-343 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 16 - 67)*(5*x + 7*x + 5*x)*(-x - 2*x + 4*x).\nAnswer: -306*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 + 4*l - 8. Let c be v(-4). Let n = c + 10. Suppose z = -0*z - 4*t + 633, 0 = -z - n*t + 631. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -757.05 - -757. What is the closest to 1 in -2\/11, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*m - 4738, -m + 8 = -3*m. Let o(z) = -22*z + z - r + 2374. Does 19 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 5*i**3 + 55*i + 6*i**2 - 58*i to z*i + y*i**3 + l*i**2 + f and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/52 and (-318)\/1170*(1 + 7 + -7).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 55*f + 1055. Let m be t(-19). Find k, given that 4*k + 2\/5*k**2 + m = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (70\/15)\/(2\/(-6)). Let j be (-8)\/(-28) - (-4)\/r. Suppose 2*b - b - 26 = j. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1699640307 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**5 + 513663*b**2 + 2*b + 2900628 wrt b?\nAnswer: 100*b**3 + 1027326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*f + 9*f. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.122.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 261967078 to the power of 1\/2, to the nearest integer?\nAnswer: 16185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 151.22609.\nAnswer: -155.22609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2006 divided by 59.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.49514896 and -0.3.\nAnswer: -0.79514896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-30)\/(-9) + (-58)\/(-261).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 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: Let h(l) = -2*l**2 + 2*l - 2. Let f be h(2). Let u = -153769 - -153769. What is the biggest value in -5, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 1, 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4142.91 - 4143. What is the second biggest value in m, -0.2, -62?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.463293 tonnes?\nAnswer: 1463.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235006.596ns in days?\nAnswer: 0.00000000271998375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(7) + (-1 + sqrt(567))**2 + (sqrt(140)*-2)\/sqrt(5))*5.\nAnswer: -95*sqrt(7) + 2840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 1. Let t(y) = 2*y + 11. Let p(a) = 3*q(a) + t(a). Let j be p(9). Let r = -2 + j. Is 2 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135901.\nAnswer: 37, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 10:37 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -64. Solve -x*t + 3 = -5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*j - 4 - 12, 4*q = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - q**2 + 2. Let o(c) = -3*c - 2*c + 4*c + 5*c. Calculate the least common multiple of s(-2) and o(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3387 and 53\/18?\nAnswer: 20322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 675 + -660. What is the third biggest value in 0, -18, t?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7 = x + u, 3*x + 6 = -4*u. What is the lowest common multiple of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24989 at least 25023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:04 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*m + 0*m = 3, 0 = -3*c + 5*m - 6. Let w = 3 + c. Suppose 4*y - w = -2. Calculate the greatest common divisor of y and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3198611\/126 + 25387. Find the common denominator of 13\/66 and o.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22997234873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1110110110101?\nAnswer: 1110110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -49. Let k(t) = -t**3 + t**2 - 1. Let x(i) = i**3 - 3*i**2 + 10. Calculate c*x(o) - 3*k(o).\nAnswer: 2*o**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33387, 66790, 100211, 133650?\nAnswer: 167107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*h + y + 20, 0 = -2*h - 4*y + 12. Suppose -w + 41 = 2*d, d - 2*w + 64 = h*d. Calculate the remainder when 100 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 0, 82 in descending order.\nAnswer: 82, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m - 4. What is v(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + h + 2. Let y be k(0). Let d be (31 - 2) + -1 + y. Let n = d + -13. Calculate the greatest common factor of 187 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-2\/67))**(-1\/35)\/((n\/(n*(n*n**(1\/4))\/n))**(-33\/7)*(n*n\/(n*n**(-6))*n)\/n*n*n**(-5)\/n) assuming n is positive.\nAnswer: n**(-149091\/46900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-20)*-2)\/(810\/(-675))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 - 9*x**2)*(-3 + 3 + 2).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 195, -274, 5, -2\/5, -1?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2 + 117140*l - 1715222450 = 0.\nAnswer: 29285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*18\/60)\/((-3)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12 - 3) + 22 - -12) + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:31 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 3 - 3)*(19*s**3 + 22*s**2 - 22*s**2) in the form u*s + f*s**4 + t + v*s**2 + c*s**3 and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63780.936 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/2 + r. Suppose 4*q - 3*b = -4, 0*b + 5*b = -2*q + 24. Let t(u) = -17*u**2 + 4*u**2 + 11*u**q. What is t(p(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/8)\/5*(-16)\/(96\/(-18)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24118172 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:20 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3735021*k**3 - 1837617*k?\nAnswer: -22410126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:26 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3807)\/(-2538)*(1 - 15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + 2*sqrt(2))**2 - (sqrt(18)\/(sqrt(18)\/sqrt(2)))**2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 347*f - 5. Let p(b) = b + 2. Calculate s(p(d)).\nAnswer: 347*d + 689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.004 - -0.304. What is the nearest to 1\/4 in -7, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8042135*k**3 - 33212122 wrt k.\nAnswer: -24126405*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*l - 10*a + 8*a, 0 = -2*l + 3*a + 13. Let q(s) be the first derivative of 0*s + 1\/20*s**4 + 0*s**l - 1\/15*s**3 - 9. Factor q(y).\nAnswer: y**2*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**8)\/t**(-1\/3)*t**(1\/12)*t*t**(-1\/5) assuming t is positive.\nAnswer: t**(613\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:51 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - 1 + 4*o + 30*o**2 - o. Calculate the remainder when g(-1) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z - 4*n = -24, 4*z - 2*n + 2 = 0. Suppose -4*i + 10 = 3*s, -z*i + 14 + 12 = 5*s. Is (141\/s)\/(1\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 104 - 106 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/23, 0.395, 3\/8?\nAnswer: 0.395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180 + 169)*(-54)\/(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1680454 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10846 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41642.024012839242 - -0.055984760758. Let t = 41642 - q. Let o = t - -0.08. What is o rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2414*w**5\/5 - w**2 + 274*w - 2385. What is the second derivative of z(b) wrt b?\nAnswer: 28968*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 29, -30, 7, 4, -1 in ascending order.\nAnswer: -30, -1, 4, 7, 29, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.308447 millennia in centuries?\nAnswer: 23.08447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -366 - 2005?\nAnswer: -2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/15)\/a**(-15) assuming a is positive.\nAnswer: a**(227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 196\/21)*((-76)\/(-16) + -4)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1103\/8792 + -1\/2198. What is the closest to -7\/2 in 3, i, 8\/21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 = m + 503, 5*m - 190563 = -p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - -6*(-23)\/23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -41. Solve 0 = 2*s - 4*j + 2*j + 12, -16 = l*s + 4*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3511992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 160039375*z + 320078770.\nAnswer: -5*(z - 32007877)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-32) - (-182)\/(-16). Let m = s - -12. Is 18 a factor of (-4 + -6)\/((4\/(-30))\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481352323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -965*g**6 - 11498*g**3*s**3 + 6*g**2*s**3 - 287*g*s**3 + 21*s**3 + 9*s**2 wrt g?\nAnswer: -115800*g**3 - 68988*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 5581 = 18086. List the prime factors of c.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8116215 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-15) + (-24)\/(-30))*150?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 = -97*f + 123*f + 173 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -589*o + 441. What are the prime factors of v(-6)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u + 2. Let y(j) = -2*j - 2. Let g(f) = f + 1. Let l(n) = 5*g(n) + 2*y(n). Let k(b) = 2*l(b) + z(b). Is 18 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20437 = -303*i + 305*i, 3*i + 8166 = 2*t. What is the highest common factor of 174 and t?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4333*r - 60682. What is m(-14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.8. Suppose 152 = 4*x + 156. What is the closest to x in -1, y, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6*t - 7*t = 9, 17 = 4*h - 3*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 23394*a**2 - 39139710*a + 17784548638.\nAnswer: -2*(a - 9791)*(a - 953)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5607\/12 + 3\/4. Solve -465*z = -x*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 88\/9*f**3 + 6\/5*f**5 + 5*f**4 - 116 + 0*f + 8*f**2 + 1\/9*f**6. Solve v(n) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 1 - 13*t - 2 + 12*t. Let y(m) = -12*m**2 - 14*m - 14. Calculate -56*u(d) + 4*y(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 22 = -9*t + 5*i, 3*t + i = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + -2 + 2 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*j - j = -1, 0 = 5*j - 15. Let t(m) = m**3 + 2*m**2 - m. What is the units digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 67. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3319335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10 - 15 + 41 + f - 10*f - 17. Let t be (-1)\/3 - (-28)\/(-6). Let l(y) = 18 + 13 - 6*y - 31 + 2*y. Determine t*l(k) + 2*n(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/30 and -8\/321.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 484 = 94*z - 5364. Calculate the remainder when 336 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 - 101 + 124 + 5*q**3 in the form t*q**2 + u + c*q + f*q**3 and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.039 - -0.139. What is the biggest value in o, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/3 + (-4)\/(-6). Let o be (-52)\/(-16) - (-2)\/(-8). Is (-1)\/o - 114\/z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 746 = 2*j, 2*r - 2946 = -8*j + r. Solve 356 = -12*l + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + z - 99 + 78 = 0, 27 = 3*b + 3*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*q - 707, 0 = -5*q - c - 5 + 1174. Let u be q\/(7 - 4) + 0. Calculate the common denominator of (-201)\/u - (-6)\/2 and -23\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2441830 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-10)\/(-4)). Suppose 0 = -2*l + l - 2. Let r = l - -3. What is the smallest value in r, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 126\/3 - (4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 4671 - 1731. Calculate the highest common factor of 259 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00751*-0.2\nAnswer: 0.001502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -139. Suppose -4*z + 94 + o = 0. What is the greatest common factor of 351 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46\/5 of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**2 + 0*s + 2\/3*s**3 + 3\/2*s**4 - 53. Factor y(c).\nAnswer: 2*c*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ff8 (base 16) to base 9.\nAnswer: 5542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*(-24)\/18 - -1005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8110067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268227*n**2*s**4 - 3*n**2*s**2 - 966*n**2*s - 1606*n*s**4 - 1485*s wrt s?\nAnswer: 6437448*n**2*s - 38544*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36619473 rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.55 + -0.6. Let s = l - -0.15. What is the nearest to s in 5, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3217 + 3216.9. Put h, -1\/1758, 0.3 in decreasing order.\nAnswer: 0.3, -1\/1758, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -673 + 678. Suppose 0 = -u*l - 2*x - 7 + 78, -2*x - 59 = -5*l. Solve -4*p + 49 = -5*q + l, -3*p = -q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260495546?\nAnswer: 2, 2857, 45589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 8)*(-8 + 12 + 18)*((-1 + 0 - 1)*(-5*s + 2*s + 5*s) + 44*s + 8*s - 12*s) as y*s + k and give y.\nAnswer: 5544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287180.\nAnswer: 2, 5, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/21546000 and 31\/348600?\nAnswer: 1788318000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3100 and 119\/327980?\nAnswer: 1639900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48\/9)\/(5\/450)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a4 (base 15) in base 10?\nAnswer: 3979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((44489391\/68 - 10\/(-8))\/(-1))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -a + 4*r, 5*a = -4*r + 6*r - 10. Let t = a + -4. Let c be (-1)\/((t\/6)\/(-4)). Is -6 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**5\/60 + m**4\/9 + 2*m**3\/9 + 13*m**2\/2 - m + 66. Let s(q) be the second derivative of k(q). Factor s(g).\nAnswer: (g + 2)*(3*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 8528393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38520 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - 12\/(-10). Let i = 26.9 - 23. Let z = i - -1.1. What is the third smallest value in a, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Suppose o - 3*o - 4 = n, 2*o + 4*n = -4. Let r = o + h. Which is smaller: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*t + 9*t. Suppose -m = k + 5, -3*m + 13 = -3*k - 7*m. Let q be k\/(42\/4)*t. Sort 0, -1, q.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -1, -2\/49, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2056*z - 239760 = -1830*z - 1643*z - 1131*z for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25327699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i + 10. Let q(m) = -m + 1. Suppose -148 + 58 = -9*j. Give j*q(y) - v(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(-1\/2)*g))**(1\/2)\/(g**(-13)\/((g*g**(-5))\/g)))**23 assuming g is positive.\nAnswer: g**(805\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, -3\/2, -0.5, 9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/31, -1599, 1116, -4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 27.95. Let a = 2.95 - 3. Let x = a - t. Which is smaller: x or 0.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 1, i: 1, n: 1, l: 1}. Give prob of picking 1 n, 1 i, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*s + 368 = 377, 3*r - 3*s + 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.78 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90828363, 181656726, 272485089, 363313452?\nAnswer: 454141815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 3*l - 7 + 7.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -38*j + 13*j + 27*j. Let k = 10 + -2. Let f(g) = -g + k*g + 5*g. Give w(f(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.505 take away 0.3?\nAnswer: -118.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -9. Let v = j + -19. Solve 2*b = v - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 3. Suppose -8*x = -n*x. Suppose 2*v + 28 = 2*o - x*v, -v = -5*o + 50. Calculate the smallest common multiple of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((7 - 3) + -2)\/2*1. Let u be 94\/10 + -6 + (h - 5). Let n = 1.1 - 1. Which is the smallest value? (a) n (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 + 3 = 0. Suppose h*a - 212 = a. Suppose -k + a = 5*j, 2*k + 116 - 42 = 3*j. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 14 = 4*f, 3*f + 343*q - 346*q + 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/21018 and 11\/14484.\nAnswer: 50737452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v**2 + v + 2. Let y be f(0). What is the third smallest value in -3\/7, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0091 * 2\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 0, 6*z + 42 = z - 3*m. Which is smaller: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 129, 4, -4 in ascending order.\nAnswer: -4, 3, 4, 7, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s**3 - 4*s**2 + 20*s - 15. Determine f(5).\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 1. Let v(r) = -r**2 - 9*r + 2. Let j(i) = 5*k(i) - v(i). Let b be j(-5). Let h(d) = -19*d**3 - 2*d**2 - 4*d - 3. Is h(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -5. Let y = 8 - 5. Suppose 0 = y*z + z - 88. What is the remainder when z is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 - 533*v - 4436. Give x(74).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1840 + 7437\/4. What is the common denominator of q and 1\/(-3)*(-580)\/24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 852447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 + 0 - -3. Solve -3*c + 8 = y - q*c, -5*y - 4*c = -36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36802, -36797, -36792, -36787, -36782?\n\"Answer: 5*u - 36807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -16, 0.01, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 - 71*k**2 + 24*k + 1859. Determine w(-23).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5430 + 2714 + 2716 - 56*m.\nAnswer: -56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + sqrt(16)\/sqrt(2)) + (sqrt(17) - (sqrt(153) + sqrt(153)*1)) + (3*sqrt(2448))**2*-5.\nAnswer: -110160 - 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 + -163. Suppose -n*t + 9*q = 8*q - 961, 3*t = -4*q + 1447. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -350359805*r**5 + 19016*r - 1700 wrt r?\nAnswer: -7007196100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -1 - (-114 - -110)) + 13 - 51?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/2 (b) 4 (c) -4 (d) 5 (e) 3 (f) 2 (g) 64511\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 12*r**2 - 6*r**2 + 79 - r**2 - 376.\nAnswer: 2*r**2 - 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001768 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/65*(33 - 437\/(-23)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 5. Determine t(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 779, 2621, 6209, 12125, 20951, 33269, 49661?\nAnswer: 70709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 974774*a + 974772.\nAnswer: 2*(a + 1)*(a + 487386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-688.\nAnswer: 9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*c - 14553*c**2 + 392*c - 154*c - 121*c as z*c**2 + h + v*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1491 and 57\/4118.\nAnswer: 86478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, n: 2, u: 4, b: 1}. What is prob of picking 1 n and 2 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/4*4\/(-6). Let k(i) = -17231 - 3*i + 0*i + 15*i**2 + 17235. What are the prime factors of k(o)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 6. Let z(h) = 4*h - 29. Let b be z(8). Let f be 2*b*18\/(-54). Let n be c(f). Solve -2*g + n*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1227, 1216, 1203, 1188, 1171, 1152, 1131?\n\"Answer: -t**2 - 8*t + 1236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 10:06 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 49 = -34, 0 = -3*d + 2*p - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 297467 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 + 356*r - 4199. Give a(12).\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238127127*h**3*j + 745891*h**2*j - 6*h**2 - 3*j wrt h?\nAnswer: -1428762762*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 3*j. Let k(g) = -2*g**2 - 4*g + 5. Let p(i) = -i**2 - 4*i + 4. Let t(u) = -4*k(u) + 5*p(u). Calculate -4*b(c) + 3*t(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:40 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4578 and -145\/6.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 7*z**6\/5 + 51*z**2\/2 - z + 12. Differentiate b(c) wrt c.\nAnswer: 168*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10 - 5*c**3 + c**2 + 4*c**3 + 0*c**2 + c. Let i be k(0). Solve x + 4*x = i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195 + -178. Suppose -24 = a*n - 25*n. Solve n*b = -2*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -278608235*p - 833441079 wrt p?\nAnswer: -278608235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1 + sqrt(68))*2)*1)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -123?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -6 (c) 5477 (d) -0.5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(7\/6)\/((s\/s**7)\/s)*((s*s\/(s\/(s*s**(2\/11)*s)))\/s*s*s*s)\/(s*s*s**(-12)) assuming s is positive.\nAnswer: s**(1541\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 171*y + 1377. What is z(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 929604 + -929604.04000008. Let r = p + 0.04. What is r rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 59*y**2 - 760*y + 41. Calculate j(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136859886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 16.2 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*d**3*m + 414*d**3 - 2*d**2 - 8*m**2 wrt m.\nAnswer: 22*d**3 - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 313649732 and 1914?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*i + 127*i - 3*l - 22 = 0, 0 = l + 2. Put i, 70, -1, -3, -2 in ascending order.\nAnswer: -3, -2, -1, i, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 270 + -233. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179.8 + 17.2. Let h = 197.00166 - d. What is h rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15794507.\nAnswer: 15794507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurrurrrrrrrrrurrur. Give prob of picking 3 r.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -348, -679, -1010, -1341, -1672?\n\"Answer: -331*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*w**2 + 186 - 184 - 13*w**2)*(4 - 3 - 3)*(2*w**2 + 3*w**2 - 3*w**2).\nAnswer: -368*w**4 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/10 - 7*x**4\/3 - x**3\/2 + 4971*x**2 - 8413*x. Differentiate r(n) wrt n.\nAnswer: 6*n**2 - 56*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4237183 - 2?\nAnswer: -4237185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {l: 3, k: 2, s: 13}.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 6264*a - 2452356 = 0. Calculate a.\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*m - 1936 - 2929 = 0, -1952 = -2*h + 2*m. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -28 + 4 + -2 + 28.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(3 - -8))\/(-1). Solve -2*s - 16 + 20 = x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16596 + -2.16596. Put -9\/4, 1\/2, 1\/5, y, 2 in decreasing order.\nAnswer: 2, 1\/2, 1\/5, y, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10056270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -49984.45 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*a + 4*y, 0 = 2*a + 2*y + y - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.4 + -6. Let r = i + 1. Put -5\/4, 0, r in decreasing order.\nAnswer: r, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4960.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -3, -5, 2, 5, 680 in decreasing order.\nAnswer: 680, 5, 2, -3, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 10*s - s**4 + 4 - 4*s - 2*s**3 - s - 2*s**2 to t*s**2 + v + q*s**3 + y*s + w*s**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/2, 16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 3*c. Suppose c = 4*o + h + 2*h - 84, -108 = -5*o - 3*h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 263. Is 10 a factor of -1 + q - 3\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83 + 19b13b?\nAnswer: 19b088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, -9, -12, 12 in decreasing order.\nAnswer: 12, 5, 0, -3, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70785.44 millennia in months?\nAnswer: 849425280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -43055806.\nAnswer: -1\/43055806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 174968 (base 14) to base 8\nAnswer: 3100560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 9145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14) + 2288\/224)\/(11\/4 - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 14 + 47 = 2*b, 4*b + 4 = -4*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2024 (base 12) in base 13?\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v - 1. Let m(l) = -10*l**2 + 6*l + 6. Calculate -m(f) - 6*p(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/2 + 9*k**3 - 39*k**2\/2 + 18*k - 6 = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6655 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4757*v**3 - 4*v**2 + 5261*v + 2. Let f(o) = -4777*o**3 + 6*o**2 - 5260*o - 3. Let l(r) = 2*f(r) + 3*y(r). Find the second derivative of l(p) wrt p.\nAnswer: 28302*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (9 - 30) + -79?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 55. Let p(h) = -841 + 841 + 2*h. What is d(p(l))?\nAnswer: 2*l + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 5:49 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = 313 - 475 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -445054 >= -444869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 433029115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/24 + 4*q**2 - 5. Let c(o) be the second derivative of w(o). Let g(t) = -2*t**2. Calculate g(c(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 847260 and 7455888?\nAnswer: 37279440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59460 divided by -9057?\nAnswer: -19820\/3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 850326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 5*w - 4. Let n be h(-5). Let g be ((-10)\/(-4))\/(n\/(-8)). Solve 9*y - g = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 4.3. Let g = 47.06 + -50.06. Which is the closest to r? (a) -5 (b) g (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -48*u + 198. Give z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 6*g + 8. Suppose i - 19 = -4*s + 4, -4*i + g*s = -164. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 42. Suppose 8*l + 18 - 2 = z. Let b(u) = -5*u**3 - u**2 - 5*u - 5. Calculate the remainder when b(l) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 30*z - 129. What is q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2 + 3350*i - 36245 = 0?\nAnswer: 11, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(3\/4))**(-2\/51))**(-2\/75) assuming m is positive.\nAnswer: m**(7\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*w + 24, -3*w - 15 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.07, 1\/3, 2, 2\/13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/10 - 187*a**4\/12 + 82*a**3\/3 - 841*a. What is the second derivative of t(d) wrt d?\nAnswer: -36*d**2 - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 294452 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/4*(8\/6)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**5\/30 + y**4\/4 + 3*y**3\/2 + 24*y**2. Let s be k(-2). Find the second derivative of 7*b + 4*b - 14*b**5 + s*b wrt b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(180) + 4 + -1 + 2*sqrt(180).\nAnswer: 5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714.4935 millennia to decades.\nAnswer: 71449.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - x - 2, l + 0*x + 14 = -3*x. Let v(r) = 105*r + 402. Let f be v(-4). Let b = l - f. Which is smaller: b or 17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/2137 + 96159\/4274. Let i = 15472\/5 - 3083. Calculate the common denominator of u and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 700\/42 - 11\/(99\/(-24))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/70)\/(356\/890)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50728 - 23641. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j + y - 6*y, 3*j - 3*y + 36 = 0. Let t(o) = -o + 6. What is the remainder when 36 is divided by t(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4321 (base 6) to base 7\nAnswer: -2605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92321030 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 16 + 22)*(-3*b - 2*b + 3*b)*(-2 - 4*b**2 + 2) as d + l*b**2 + u*b**3 + h*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815332931?\nAnswer: 7, 116476133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000002608893 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81173761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 127*-91.31299\nAnswer: -11596.74973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/(-28))\/(21\/(-28))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 3*f + 3*f + (4 - 4 + 2*f**2)*(-3*f + f + 3*f) - 49*f**3 - 19*f**3 - 72*f**3 + 5*f**3 + 6*f**3 - 35*f**3.\nAnswer: -161*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j - 179*j**2 - 56*j**2 + 8*j as r + g*j**2 + u*j and give g.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 - 27)*((-2*f - f + f)*(-4 + 2 + 3) + 0*f + 4*f - 3*f + (3 + 4 - 6)*(-2*f + 1 - 1) - f - 2*f + 2*f - 2*f - 3*f + 6*f).\nAnswer: 75*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 824403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6549 and -9.3?\nAnswer: 6539.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 12*u + 6 - 22, 4*u = -3*c + 48 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqqqqrqqqrrqqrq. What is prob of sequence qrq?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224178047*u**5 + 34781*u + 8765.\nAnswer: 4483560940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248341 by -8011.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2859*c**3 - 2968*c**2 wrt c?\nAnswer: 17154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 4 (b) 6\/11 (c) 5 (d) -3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170\/(-30) - (-4)\/6. Let a = d + 9. Suppose -3*j - 2*w = 2*w + 6, -2*j - a = -4*w. Let p(v) = -3*v**2 - v + 1. Determine p(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 341810 or 734?\nAnswer: 341810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7*f**3\/6 - 15*f**2\/2 + 5*f. Let x be r(-7). Suppose -2*o + 7*o = 3*u + x, -o + 8 = -u. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49603819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150.9 - -151. Let t = -34 + -10. Let u be (t\/(-24))\/11*-3. What is the third biggest value in u, s, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229999487.\nAnswer: 229999487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7375 divide 665579000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4 - 10. Suppose -2*t - h*t = 0. Suppose -4*q = -5*g + 91, -2*g - 3*q + t = -18. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 150*p**2 - 2997*p - 23. What is y(20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 10. Let h be g(-9). Let a = 13 - h. Solve 0 = a*c - x + 5 + 17, -3*c - 30 = 5*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 1995?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 168 = 5*q. Suppose -5*y + 60 = -w, -5*y - 5*w = -w - 35. Let r be (-2)\/y + q\/(-11). Which is the smallest value? (a) -0.1 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10 - 6*j - 14*j - 17*j - 2*j**2 - 27. Let r be m(-18). Is (r + -18)\/(21\/(-84)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -15 + 37 + 3\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*j**3 - 1296*j + 242628 with respect to j.\nAnswer: 120*j**2 - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -4. Suppose 2*f - 4*f - d = 0. Let v = f - -13. What is the least common multiple of v and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 + 5770*s**4 - 8*s**2 + 12*s - 240 wrt s?\nAnswer: -120*s**2 + 138480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*a**5 + 1875*a**4 + 188645*a**3 - 19035*a**2 - 188590*a + 17160 = 0. Calculate a.\nAnswer: -44, -1, 1\/11, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66283?\nAnswer: 7, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1204 and 10955884.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(1900)*-4)**2 + -2.\nAnswer: 121595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.87 - 10.04715. What is q rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 35. Suppose 4*m + i*y - 104 = 0, -2*y + 7*y = 3*m - 104. Calculate the remainder when 54 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (4 + -6 - 2) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:53 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2138422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, 130 in decreasing order.\nAnswer: 130, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*i + 49 + 31, 2*v + i = 84. Suppose -3*p + 45 + v = 5*t, 3*t = 4*p + 76. What is the remainder when t is divided by (1 - 0)*(5 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23773\/33 + 719. Calculate the common denominator of h and -74\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133 times 1?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 461197531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -1040660?\nAnswer: 1040657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h**2 - 3*h + 1. Let y(c) = 12*c**2 + 4*c - 1. Calculate -7*t(k) - 5*y(k).\nAnswer: -4*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1646*r - 99572 = -2880*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.0767112 at most 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11010 or 11011?\nAnswer: 11011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkdp when four letters picked without replacement from {d: 1, k: 4, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/1260 - y**6\/240 + y**5\/180 + 6*y**2 - 3*y. Let l(s) be the first derivative of b(s). Factor l(u).\nAnswer: u**2*(u - 2)*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 4, p: 3, c: 3}. What is prob of picking 3 m and 1 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 12. Suppose 2*u - 9 - w = 0. Suppose 0 = -q + 5*l + 3, 0*q - 3*q - 5*l = -69. Calculate the remainder when q is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwqwinr. Give prob of picking 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81\/157 + 39969\/785. Factor 24*o + z*o**2 + 16\/5 + 98\/5*o**3.\nAnswer: 2*(o + 2)*(7*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 41. Let o(r) = r**2 + 22*r + 123. Let n be o(-16). Let y be k(n). Do 48 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 10*r + 7*r**3 + 2*r**4 - 13*r to n*r + j + t*r**2 + o*r**4 + i*r**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/3, -705, -1, 1 in increasing order.\nAnswer: -705, -13\/3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 30 = d, 4*i - 51 = -4*d + 9. Let o be (-6)\/9 - 2\/i. Sort -1\/2, o, 3.\nAnswer: o, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.3, 8\/7, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26937)\/(-730)*(-470)\/(-141).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 18863*y**3\/6 - 330103*y**2\/3 - 679033*y\/6 + 6 = 0. Calculate y.\nAnswer: -1, 1\/18863, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - l = 2*l. Let i(d) be the first derivative of -d**4 + 8\/15*d**5 - 1\/9*d**6 - 1\/3*d**2 + l*d - 7 + 8\/9*d**3. Let i(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2 - 14*k + 4. Let c = -5 + 8. Calculate the remainder when l(-10) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n - 14*n**2 - 12*n - 23*n**2 + (n + n - 3*n)*(0*n + 0*n - 2*n))*(6 - 6 + 4*n**3).\nAnswer: -140*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - ((38 - 81) + 68)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 19 = 3*a. Let w = a + -9. Calculate the lowest common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 + (-154)\/(-8). Let v = 36 - k. Let f = -2 - -5. Solve 7*q = 2*q - 3*l + v, -q - f*l = -1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 121 = -5*y, -g + 2*y = 6*y - 12. Let k be g\/240 + 4\/(-30). Let w = 12 - 7. Solve -2*o - 26 = w*j, k = -3*j + 2*o + 2*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - 149.981. Let f = -142 + 142.3. What is the second biggest value in -0.3, 2, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1225)\/875 - 3\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -99*a + 55. Let r(i) = 11*i - 6. Let p(y) = -y**3 + 20*y + 6. Let g be p(-8). Let b = -364 + g. What is b*x(m) - 55*r(m)?\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9494 - 6483. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/2))**26)**0)**(3\/37) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001111101110100010 (base 2) in base 14?\nAnswer: 403a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-122)\/(-32)*(-267)\/((-353775)\/(-530)).\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 228\/1685, 0.1?\nAnswer: 228\/1685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2670402, -5340789, -8011174, -10681557?\nAnswer: -13351938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 11*n**2 - 80*n - 1102. Let l be i(-12). Let j be 2 + -3*4\/(-12). Factor 2*g**l + 2\/3 - 6*g**j + 10\/3*g.\nAnswer: -2*(g - 1)*(3*g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, -1\/105, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*s - 4. Let o = -2406 + 2409. What is j in 0 + 0*j - 1\/7*j**s - 1\/7*j**o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908519.4 months in years?\nAnswer: 75709.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:17 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 - 190\/(-45). Let u(z) = -3*z - p*z + 5*z + 1 - 3*z. Let b(c) = c - 6. Let i be b(2). Determine u(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*o = -572, 4*o = -2 - 6. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2 = o, 4*w + 6*o = 12 - 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2 - 7*r - 2. Let s be d(-6). Suppose 2*l + s + 4 = 0, 3*m + 33 = -3*l. Sort 1\/2, 0, m in increasing order.\nAnswer: m, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 30.193?\nAnswer: -38.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhddhdhhhddh. Give prob of picking 3 h.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 263, 304, 351, 398, 439, 468?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 462775, 1851102, 4164983, 7404418, 11569407, 16659950?\n\"Answer: 462777*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaww when four letters picked without replacement from {w: 10, g: 5, a: 4}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39875 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 16*x**2 - 16*x + 18. Let j be g(15). Suppose 0 = 3*w - j*b - 129 - 945, w - 366 = 5*b. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-48) - (-91)\/(-44) and 71\/6*(-3)\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9543 - 1a?\nAnswer: -955d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (102\/24)\/((-2)\/(-8)). Suppose 0 = 4*w - 5*b - 30, -5*b + 14 = 2*w - 16. Let l = j - w. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1838, 1854, 1866, 1868, 1854, 1818?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 17*t - 3. Let o(f) = -2*f**2 - 9*f - 2. Let y(c) = -3*j(c) + 5*o(c). Determine y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10845 + 8098. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 7. What is the lowest common multiple of v(0) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3))\/1 + 5. Suppose -2 = -3*n - 5*d + m, -2*n + 4*d + 12 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.093795 + -1719.\nAnswer: -1717.906205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*h - 153, -3*h = -j - 19 + 70. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 4*i**2 + 4*i - 5. Calculate p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7 - 2*g - 7. Let n(m) = 41 + 45 + 9*m - 123 + 45 + m. What is n(d(c))?\nAnswer: -20*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-53106)\/(-4))\/((-22)\/((-3256)\/111)). Calculate the highest common divisor of v and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1005433 and 12166?\nAnswer: 14076062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 6*z - 20. Is g(16) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -44818500?\nAnswer: -134455500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453909298?\nAnswer: 2, 4297, 52817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 441 = -3*p. Suppose 4*v - 544 = -3*c, -2*c + 5*v + p + 231 = 0. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*-4)\/(sqrt(10) - sqrt(40)\/(2*sqrt(4))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 117*m - 3751. Is t(41) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30792 - 19284. Calculate the greatest common divisor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 7*b + 2. Let o be k(6). Let d be o\/(-6)*(-54)\/(-21). Suppose h - 6 = 5*r + d, h = r + 10. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -288.7301 or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*y = 2, 2*w + 2*y + 0 + 4 = 0. Let m be 16\/6*-3*w. Find the common denominator of 1*(-1)\/m*3 and 67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 5 - ((-3 - -12) + -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1085 - -2550. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*a - 28 = -7*a, -25 = -5*a. Put -2, 2, o in descending order.\nAnswer: o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/11 - 6378*h**2\/11 + 49616*h = 0.\nAnswer: 0, 88, 3101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. Suppose -4*l + u = -16, -v*l - 4*u + 16 = -0*u. What is the first derivative of 5 - 3*k + k - l*k - 8 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 17*k - 1090 - 1083 - 1082 + 3257.\nAnswer: 2*k**2 + 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 132*c - 1013. What is the remainder when 375 is divided by n(8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*q + 3*q. Let m be q\/(-24) - (-1 - (-54)\/40). Sort -1\/5, -2, m.\nAnswer: -2, -1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 44*l**2 - 32*l**2 - 3*l + 3*l. Let r(c) = 48*c**2 - 33. Let x(u) = 3*u**2 - 2. Let t(s) = 2*r(s) - 33*x(s). What is t(n(a))?\nAnswer: -432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221100200112021 - 2?\nAnswer: -20221100200112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 15*a - 875. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 8. Let y be r(-5). Suppose m + 3*q + 10 = 0, 8*m - y*m + 34 = q. Let t be 9 + m + 2*2. Solve -3*j + 9 = 3*n, -2*n + 5*n = -2*j + t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/32*((-295)\/826)\/((-20)\/(-48)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 316.651?\nAnswer: -311.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119899153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19535 - -19535.00003521. Round j to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 0*m**3 - 2*m**3)*(56*m - 5171*m - 4517*m + 2326*m).\nAnswer: -7306*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 8. Let t be (-15)\/(-5) + 22\/(-6). What is the nearest to t in 0.2, 0.5, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26285390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 474253.2mm in centimeters?\nAnswer: 47425.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/12 + 2*t**3 + 12*t**2. Let l be m(-4). Let o be ((-1)\/2)\/1*-6. Solve 3*s + 1 = 4*z, -s - l*z = -6*z + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/108*((-155)\/651)\/((-2)\/6)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 50 + (-9 - -2) + -84\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3755349 divided by 823?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r + r + r + 8 - 3*r. Let q be i(-7). Suppose -3 = c - 9. Solve -3*y - q = -c*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l**2 + 3*l - 1. Let u be (20\/(-35))\/(2\/(-35)). Let w = 6 - u. Let v(j) = -j**2 + 2*j - 1. Let t(x) = w*v(x) + 3*b(x). Determine t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-1)\/(-11)*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + l - 64 = 0, -2*l - 41 = -2*v - 3*l. Suppose 0*k - 3*k + 26 = -4*z, 3*k + 19 = -5*z. Let s be k + -2 + 44\/2. Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 8. Let p be 2 - (0 + -1) - -2. Let b(q) = q**2 - q - 2. Calculate the lowest common multiple of w and b(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -2*j**3\/3 - j + 1. Let n be q(1). Let g = -11.5 + 12. Which is the biggest value? (a) g (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:28 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)*(-4 - -1). Let n = t + 2. Let l = -92617\/3 + 30873. What is the biggest value in l, n, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.93743 and 36.4.\nAnswer: -543.722452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-280)\/356)\/(-5)*(-573)\/(-44). Let o = q + 24\/89. Calculate the common denominator of o and -125\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325277592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - -2.4. Which is the biggest value? (a) 2 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 2*h - 1. Let k be (10\/(-25))\/(2\/(-20)). Let z(g) = -k - g + 0*g + 5*g**2 + 6*g + 2. Let q(m) = -8*y(m) + 3*z(m). Find v such that q(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:26 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14151769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100108.\nAnswer: 2, 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 4 + f**2 + 3 - 5*f**3. Let q be d(-1). Is ((-70)\/(-4) + 1)*q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*g + 24 = 2*x, -2*x - g = -12. Let b be ((-1)\/2)\/(5\/(-70)). Suppose -5*d = -b*d + x. Solve d*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -79506, -79541, -79578, -79617, -79658, -79701, -79746?\n\"Answer: -w**2 - 32*w - 79473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15607665 is divided by 28326?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 - i - 10. Let d = -23 - -12. Let f be (d - 4)\/(-5) + 2. Suppose -f = -c - 7, 3*n + 4*c + 8 = 0. Calculate k(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -153*b - 79. Let d be l(-8). Let p = d - 2012. Round p to the nearest 10.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 50*i - 286. Calculate q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from 3111795832.\nAnswer: 3111795831.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 687\/12 + 2\/(-8). Do 111\/2 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)\/sqrt(6) + -2*sqrt(125) + sqrt(5))*-5 + 5)**2.\nAnswer: 250*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/32*30*264\/(-594)*24\/(-28)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p + 4. Let n be a(-3). Let y(h) = 4*h + 4*h - 1 - 3*h + h**3 - 5*h**2. Does 2 divide y(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-25))\/(3216\/(-2640)*22)\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-2) + ((-72748)\/(-728) - 83)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-4 - -6) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 246023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.3 - 10.3. Let v = -0.042 + 2.042. Let o = 5.2 + -5. What is the nearest to v in 0.5, a, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - y + 18*y**2 + y**3 + 39 + 10*y + 10*y + 15. Let z be d(-17). Solve -3 = 4*w + 1, -i + 1 = -z*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25648)\/10640 - (138\/(-114) + 1)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 2*l + 7. Suppose 1079 = 29*c + 673. Calculate the least common multiple of c and d(-5).\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - a + 23 = -5*a, f - 1 = 2*a. Suppose 2*s + 110 = 4*l, 2*l + 11*s - 60 = f*s. Calculate the least common multiple of l and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 5*c - 14*a - 2355, -c - 3*a + 453 = 0. Suppose 4*s - 501 - c = -3*h, 1615 = 5*h - s. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3877462 and -3877465 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n - 5194 + 5194 + 185*n.\nAnswer: 119*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, x: 2, m: 3, f: 2}. Give prob of sequence aax.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m - 43*m + 33 = 0. Let y = m + 15. Suppose 0*a + 4 = -3*a - 4*n, -4 = y*n. Solve a = u + 3*x - 4*x, 2*u - x - 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25875?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.02 (b) 1\/7 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 76, 180, 318, 484, 672?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 42. Let z be p(-9). Let s(u) = -18 + 27 + 4*u - z*u. Let g(q) = -q - 8. Calculate 5*g(d) + 4*s(d).\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**4 - 3640*w**3 - 451505*w**2 - 15507390*w = 0.\nAnswer: -582, -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (0 + sqrt(68) - sqrt(68) - sqrt(68))**2*-5)*-5 - ((sqrt(187) - sqrt(187)*1 - sqrt(187))*5 + sqrt(187))\/(sqrt(33)\/sqrt(48)).\nAnswer: -1700 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 10*i**2 - 1 + 2 + 1. What is the units digit of r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 867\/2 - 2158\/5. Calculate the common denominator of k and 39\/235.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20629 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s**3 - 2*s**2 + 7. Let r(z) = -13*z**3 + 2*z**2 - 6. What is 7*r(w) + 6*y(w)?\nAnswer: -7*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*r + 36, -5 = -13694*v + 13695*v - 3*r. Let g be (1\/(-2))\/(1\/(-2)). What is the closest to -2 in 2, -0.3, g, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-2 - (-7 + 89 - (6 + (-5 - 4)))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 h when four letters picked without replacement from ihhwhhw?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x + 10, 5*x = r - 28. What is the greatest common divisor of r and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**3 - 8*v**3 - v - 3*v**2 - 1577*v**4 + 1575*v**4 + 3*v - 9 + 2*v**3 to the form w*v**4 + y*v**3 + z*v**2 + k*v + q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(209)\/sqrt(176))**2*1 - ((-4*sqrt(133))\/sqrt(7)*5)**2).\nAnswer: 364743\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -921 or -122558\/133?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)\/((k\/((k*k\/(k\/k**(-1\/3)))\/k))\/k))**(-40) assuming k is positive.\nAnswer: k**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 6) to base 8.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 2. Let o be l(-4). Let y = 10 - o. Suppose y = 4*x - 4*v - 44, 0*x + 4*x + 4*v = 12. Calculate the greatest common factor of 56 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7925032 is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499\/8*8 - (-1 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*3*4028\/3021*1\/16.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 + 5*s - 3. Let f(p) = -5*p**2 + 3*p - 1. Let n(u) = 13*f(u) - 6*i(u). Let x be n(-9). Let y = 363 - 351. Solve 2 = -x*q + y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -741.59 + 741. Let n = -6.41 + g. Let x = 0 + -5. Which is greater: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0)\/(24\/56). Solve 5*p + w = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 712 and 85424514?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -39*f**2 + 5*f + 17. Let z be i(12). Let c = -3776 - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -984252?\nAnswer: 98425c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/42 and 35\/74882.\nAnswer: 1572522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 + 8*h**3 - h**2 - h**2 as g*h**2 + x*h + s + w*h**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -148\/4614649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(26)\/sqrt(2) + sqrt(13) + sqrt(13))**2 + 2 - (sqrt(1872) + -1)**2 - ((4*sqrt(130)*2)\/sqrt(10))**2))*-3.\nAnswer: -72*sqrt(13) + 7761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355990 to the power of 1\/2, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.1 - -13. Let q = 4996 - 4986. What is the second biggest value in 0, a, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7359 - 7359.1. What is the closest to s in -3\/7, -0.08, 3, 2\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61072.96 micrograms to nanograms.\nAnswer: 61072960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2148.64839036 - 2154.64839. Let y = 6 + l. Round y to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392522577?\nAnswer: 3, 19, 23, 71, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28379979 to the power of 1\/2, to the nearest integer?\nAnswer: 5327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*g - 3*g. Let s(w) = w**2 + 4*w + 2. Let z be s(g). Let i = 270 - 256. Does i = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1300) + -1 - sqrt(1300)) + -1*sqrt(1300) + 3)**2.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8130 by -3.\nAnswer: -2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 4*v**4 - v**2)*(6 - 13 - 17)*(-14 - 18 - 11) in the form h*v**4 + q*v**2 + l*v**3 + f*v + r and give h.\nAnswer: 4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = -3. Solve -i + 4*m = -5, 0 = -n*i - m - 3*m - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.45183 centuries in millennia?\nAnswer: 1.945183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 3*y**4 + 11*y - 17. What is the derivative of r(j) wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514*q**2*y**2 + 103*q**2 + 14*q*y**2 - 58*q*y + 4*y**2 wrt y?\nAnswer: -1028*q**2 + 28*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-12)*3*-2. Suppose -z*w + 12 + 56 = 0. Let a be w\/2 - (-8 - -11). Is 15 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Let l = -1.3 - -31.3. Let r = l - 28. Sort z, 3, r in increasing order.\nAnswer: r, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -307?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/12 + l**3\/2 - l**2 - l - 3. Let a(b) be the first derivative of o(b). What is the units digit of a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12225, 0.5, 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/20584 and 7\/56606.\nAnswer: 226424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4*f + 4*f)*(-11*f**4 - 15*f**4 + 6*f**3 - 5*f**3 + (29*f**2 + 14*f**2 - 9*f**2)*(-3*f**2 + 2*f**2 + 2*f**2)).\nAnswer: -8*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 1:46 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4, 4*b = -3*z - z + 780. Let o = b + 561. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 103?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 21*l**2 + 41*l + 35. Let m be x(-19). Let s be ((-3)\/2)\/(m\/(-1540)). What is s rounded to 0 decimal places?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-73)\/(-146)*(1 - 0)*2. Let g = 251 - b. What is the greatest common factor of g and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10899 (base 10) to base 8\nAnswer: 25223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003922 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 6*w - 16, 4*w + 22 = 39*u - 45*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/144 and 77\/256.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 2*g. Let r(c) = -8*c**3 - c**2 + 12*c + 1. Calculate -3*p(q) - r(q).\nAnswer: 8*q**3 - 2*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -72, -12499 in descending order.\nAnswer: -2, -72, -12499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 24 = 6*c. Let o be (-1 + (-2)\/(-6))*3. Let y = o + c. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.051*517\nAnswer: 26.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(2 + (-2)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.5, -0.22669, -7, 1\/4?\nAnswer: -0.22669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179\/2 - 65. Let z = 5854263\/8 - 734654. Let o = z + 2867. Calculate the common denominator of n and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1155.31 from 49.\nAnswer: -1106.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y + 5. Let i be z(7). Let f = -69 - i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.067, -0.2, -50, -19\/3?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f**3 - 15*f**2 + 15*f**2.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-3) + (-294)\/2. Round o to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003817 rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/(1\/4). Suppose 4*v - 12 = -2*w, w + 3*v - p = 2*w. Let b be w - ((-46)\/(-11))\/2. What is the biggest value in -2\/21, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1189.9 + 1190. Which is the third smallest value? (a) g (b) 6 (c) -2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Let i(j) be the first derivative of -j**4\/2 + 7*j**3\/3 + 5*j**2\/2 - 6*j - 2828. Let h(x) = -x**3 + x**2 + x - 1. What is q*h(s) - i(s)?\nAnswer: -3*s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 - 4*w**2 - 3*w - 2. Suppose 3 = 4*u - 7*u. Let i(z) = z**3 - 8*z**2 + 7*z - 8. Let t be i(7). Let r be (t\/(-20))\/(u\/5). Give b(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 346790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -20, 1, -57, -4.\nAnswer: -57, -20, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1435159 centimeters?\nAnswer: 1.435159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 309 and -0.4.\nAnswer: -123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 5*r + 2. Let s(n) = -n + 5. Suppose -2*o = 3*o - 2*c - 35, 0 = 2*o - 5*c - 35. Let b be s(o). Suppose b = -4*p - 2*p - 12. Calculate g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 22, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l)\/(l\/l**10*l)*l\/(l*l**(3\/11))*l*l*(l\/(l\/l**(-4\/13)))\/l*l assuming l is positive.\nAnswer: l**(632\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 0*c - c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1443 + -1442.9. Let g = 53\/6 - 407\/42. Which is the smallest value? (a) -1\/2 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4219.\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 532\/126*(5 - 1 - -2). Which is greater: j or 25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/5 - 57493*d**3\/5 + 14611818*d**2\/5 - 184623616*d - 937787392\/5 = 0.\nAnswer: -1, 128, 57238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 2*p**2 + p**2 + (0*p + 5*p - p)*(-2*p + 2 - 2) - p**2 + 0*p**2 + 0*p**2 + (2 - 2 + p)*(2*p - 2*p - p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**3 - 20*i**3 + 7*i**3 - 440 + 2*i**3 + 7*i**3 - 205*i**2 - 650*i.\nAnswer: 5*(i - 44)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88774 + 1?\nAnswer: 88775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1062969*z. Let a(w) = 6*w**2. Give y(a(s)).\nAnswer: 6377814*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 - 4\/(-10). Let c be 60835\/(-230) - (-3)\/(-4)*2. Let a be c\/152*(-2)\/7. Put v, 3, a, 4\/7 in increasing order.\nAnswer: v, a, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1718 or -2371?\nAnswer: -2371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i*i*i**4)\/((i\/(i*i**9))\/(i**(4\/11)\/i)) assuming i is positive.\nAnswer: i**(136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760776.5 decades to months.\nAnswer: 91293180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.03061, -2.4, 2?\nAnswer: -0.03061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1841 and -169834591.8.\nAnswer: -169832750.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433846 by 187.\nAnswer: 433846\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34627713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635592007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 + -87. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -376 to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - m + 8*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.0036 + 0.0036. What is the closest to m in 0.26, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-26) - 1824\/(-312). Let f(c) = -5*c**3 - 2*c**2 - 8*c + 5. Let l(a) = 4*a**3 + a**2 + 9*a - 4. Let t(r) = j*l(r) + 5*f(r). Calculate t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -2\/11 (d) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -495.27592985?\nAnswer: -499.27592985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 - 27. Let k = -4405.318923 + 4611.31877. Let y = s - k. What is y rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -b - 6*u, -12 = -4*b + 5*u - 9*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**5 + 1092*c**4 + 3244*c**3 + 1068*c**2 - 3248*c - 2160 = 0.\nAnswer: -270, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -20*5\/(-20). List the prime factors of 1542\/h - ((-1)\/(-4))\/(-1).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose -3*p - i*p = -680. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = 3*u + 2, -5*u = -t + 10. Let l = t - -13. Suppose -148 = -l*n - n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 41*u - 123. What is x(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77)*1*4 - sqrt(77))\/sqrt(7) - (sqrt(11) + (sqrt(110) - (sqrt(110) - sqrt(110)*-4))\/sqrt(10) - -6*sqrt(99))) + 2.\nAnswer: -21*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1 + n + 3*n**3 + 3. Let l(q) = 6*q**3 - q + 9. Let w(y) = -9*c(y) + 4*l(y). What is the second derivative of w(s) wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a2e81 (base 16) in base 5?\nAnswer: -1201430132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f = -91 - 277 - 532 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hruubuurruuiuuuuuirr. What is prob of sequence rhi?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18559470, 37118905, 55678318, 74237697, 92797030, 111356305, 129915510, 148474633?\nAnswer: 167033662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 65969568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 4*m**2 - m**2)*(-1463 + 604 - 2361).\nAnswer: -3220*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4861024 and 672.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v**(-2\/7)*v*v))**(26\/3))**(-3\/31))**(-21) assuming v is positive.\nAnswer: v**(-1482\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1*g*g)**(-16\/5)*(g*g*g\/(g*g**(-6)\/g))\/g*g\/(g**(-1)*g)*g)\/(((g\/(g*g*g\/g**1*g))\/g*g**3)\/(g\/g**(2\/3))**(-3\/7)) assuming g is positive.\nAnswer: g**(-103\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b + 1. Let z be (-30)\/(-8) - (-3)\/(-4). Let s be c(z). What is the highest common divisor of 77 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a second in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616905123?\nAnswer: 1616905123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 408 + 91. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 = 57*p + 34 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 5)*(-3 + 7 + 0)*(2*s - s**2 - 2*s) as g*s**2 + i + p*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(59117*g + 41 - 59114*g + 43)*(0 + 5 - 4).\nAnswer: 6*g + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 3*s**2 + 2013*s - 2013. Give d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:21 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74224429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 6*u + 6 - 8*u + 4*u + 3*u - 5*u + (-2 + 2 - u)*(-4 + 4 - 1) as m*u + q and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*y**3 - 2*y + 41?\nAnswer: 24*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/13 (b) -5 (c) -3 (d) 28 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -19*s**4\/12 - 2*s**3\/3 + 7*s**2\/2 - 24*s - 1. Let w(i) = -10*i**2 - 2*i + 4. What is -6*m(v) + 11*w(v)?\nAnswer: 4*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*d = 8*v + 28, 2*v + 32 = -3*d. Calculate the remainder when (-422)\/(-10) - (-2)\/v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 1. Let a be m(4). Suppose -a = -4*x + 5*z, 3*z - 7 = -5*x - 0. Let y(o) = -3*o - 2 + x*o + 6. Calculate y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)\/(y*(y*y*y\/(y\/(y\/((y**(-4\/11)*y)\/y*y))))\/y))\/(y**3\/(y**(-2\/17)\/y*y)) assuming y is positive.\nAnswer: y**(-9599\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 71*k - 3. Is 5 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-16)\/3910)*96\/(-120). Calculate the greatest common factor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 7*o + 42. Let k(b) = -b**2 - 3*b - 21. Suppose 15*u + 88 = 14*u. Let y = 91 + u. Let p(i) = y*j(i) + 7*k(i). Differentiate p(m) wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/90)\/((-75)\/(-3915))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 1.5. Let s = g - -0.6. Which is greater: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 482, 713, 932, 1139?\n\"Answer: -6*w**2 + 249*w + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 - 134735.\nAnswer: -134734.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0.1, -5, -1\/10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*i - 15 = -7*i, 2*a + i - 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1614 and 22292299.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 - 132*j - 1452 = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81715 divided by 7.\nAnswer: -81715\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -10. Suppose 5*d - 3*m = 453, -p*m = 3*d + 2*d - 448. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/2, -7, 4, 2\/11, -80.\nAnswer: -80, -7, -5\/2, -1, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1782 by 891.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + 414\/21. Suppose 5*k = 4*q - 17, -4 = -5*k + 2*q - 15. Let v be (-3)\/(((-3)\/(-6) - -1)\/k). Solve v*h = -3*h - n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20 - 142*q + 28*q - 118*q. Let i be w(10). Round i to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -70*f - 1024. What is the tens digit of m(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5613\/4 in -19\/2, 2\/5, 0.07?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 9*y**3 - 72*y**2 - 240*y.\nAnswer: 3*y*(y - 5)*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/17 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(704))**2 + sqrt(132)\/(sqrt(12)*-3 - sqrt(12)).\nAnswer: -129*sqrt(11)\/4 + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Let w = -5 + -3. Let z be -1 + 4\/(w\/6). Which is the nearest to 1\/2? (a) -1\/3 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333 - -620?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 384 = 731. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2.61, 0.008, -0.4, 1, -5 in ascending order.\nAnswer: -5, -0.4, 0.008, 1, 2, 2.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -28*x + 2 + 41*x + 33*x. Let u(k) = -5*k - 2. Let y be u(-2). Let l be t(y). What is l rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s - 5*t - 25, 0 = -3*s - t - 13. Suppose 2*g = 5*d + 30, -g - 9 = -6*g - 4*d. Suppose g*h = 4*h + 5. Sort s, 1, h in ascending order.\nAnswer: s, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4815297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 306 = -38838. What is the tens digit of (t\/42)\/((-2)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -10, -93, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 - 36684*q + 19503291\/2.\nAnswer: -3*(q - 263)*(q + 24719)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.08, 20, 35, 0.3, 0.1, 1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.4541 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10096 by -5048.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 4*b**3 - b - 5*b**3 - 2*b**2 + (-b + 3*b + 2*b)*(-2 + 2 + 4*b**2).\nAnswer: 15*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 83\/(-3) - (56\/24 + -3). What is the tens digit of 278 + 57\/z + (-2)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088 divided by 9?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 27677950 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1092 - -1272. What is the smallest common multiple of o and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57821 is divided by 278.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 7, u: 3, n: 2, w: 2, r: 1}. What is prob of picking 2 n and 1 u?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1.2, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1723*h + 22135 + 4449 - 739 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 195*h**2 - 151*h**2 + 274*h**2 - 2*h**2 - 3 + 3 - h**2 + h**2 + 2*h**2 + (4*h + 0*h - 2*h)*(-2*h - h + h).\nAnswer: 314*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.42309ug to tonnes.\nAnswer: 0.00000000001142309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 7643600?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -678, -5419, -18296, -43377, -84730, -146423?\n\"Answer: -678*o**3 + 5*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 87 = 13. Suppose -3*n + 1 = -2*n. Calculate the remainder when ((-73)\/n - 1)*-1 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -108. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/10 - 257*y**4\/12 + 7*y**3\/6 + y**2 - 273*y + 3. What is the second derivative of u(k) wrt k?\nAnswer: 12*k - 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 9 - 9*p + 0*p**6 - 39*p**3 + 0*p**5 + 0*p**2 + 0*p**4 - 34\/7*p**7. What is the second derivative of h(o) wrt o?\nAnswer: -4080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = r + 3*j, 2*j + 2*j + 25 = r. Let n(i) = -i**2 + 6*i - 2. Let x be n(r). Factor 4\/3*o**5 - 1\/3*o + 1\/3 + 8\/3*o**4 + 1\/3*o**x - 5\/3*o**2.\nAnswer: (o + 1)**3*(2*o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 698872022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b63 - -3?\nAnswer: -8b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - -9 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let a(i) = i**2 - 3*i - 2. Let y(p) = -a(p) + 2*n(p). Let j = -21 - -19. Give y(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 4:13 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 0)*-2*(-84)\/7. Solve 97*u + c = 81*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3307, -6732, -10167, -13612, -17067?\n\"Answer: -5*a**2 - 3410*a + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*v + 156 + 74, v + 4*i - 46 = 0. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/5, -9\/2, -23, -13, 1 in ascending order.\nAnswer: -23, -13, -9\/2, 1, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515272, 515273, 515274, 515275, 515276?\nAnswer: 515277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 341.433 and -3?\nAnswer: -1024.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -357, 3, 0, -43, 4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 8687*x**2 + 8 + 6122*x**2 + 9*x**3 - x.\nAnswer: 9*x**3 - 2565*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:37 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7479 or -7478?\nAnswer: -7479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 25 = 3*i, i + t + 11 = 3*t. What is the smallest common multiple of ((-2)\/i)\/(2\/66) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 1. Let l = -27 + 28. Let j(k) = 3*k + 5. Let o(n) = l*j(n) - 2*r(n). Give o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7093 - 6144. What is the highest common divisor of 117 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 5*i + 0*i - 2 + 3*i. Let t(v) = -v**2 + v. Determine -2*t(g) + u(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090174 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 52 = -5*t + 88, -5*n + 14 = -5*t + 154 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.74049 millennia in decades?\nAnswer: 7274.049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-99)\/(-357)) + 0. Let s = b + 11. Let w = 39 + -40. Which is bigger: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**3 + 9*q**2 - 55*q - 118. Determine w(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(1\/2))\/k*k))**(-1\/37)*k\/(k\/(k**(-4)*k))*k**5*k)**(-50) assuming k is positive.\nAnswer: k**(-5525\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 - 156*n + 612.\nAnswer: 3*(n - 204)*(n - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/9 + (27\/36)\/(11\/(-44))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3cd - 1ad?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -169. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -7, 5, 43867, 3\/2 in descending order.\nAnswer: 43867, 5, 3\/2, -0.4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 148 - 167 = -4*h, -5*l - 29 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (1 + 3)) + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -23*c**4\/24 + 3*c**3 - 10*c**2. Differentiate w(p) wrt p.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458.057 rounded to the nearest 10?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = 18. Suppose -11*z + 2*z = 0. Suppose -p + 92 - 73 = z. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8844 and 6633.\nAnswer: 26532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 r, and 1 k when four letters picked without replacement from rokookooooroooooooro.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27268 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 31458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + k + 34193 = 0, -3*k + 3 - 9 = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 g, and 1 b when four letters picked without replacement from {e: 4, y: 6, j: 1, b: 2, g: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4029.59935986 - 4029.6. What is g rounded to five decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r. Let g(a) = 14*a. Suppose 8*d - 3*d - 11 = -2*i, 2*i + 3*d = 9. Give i*h(v) + 4*g(v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 31. Let n = 27.6 - d. Let m = 2.4 + n. What is the closest to 3\/2 in 4, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32940 and 3085155?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkb when four letters picked without replacement from {t: 1, b: 3, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -60956\/17047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from ttnbebttetwtet?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1695, -12240, -31633, -59868, -96939, -142840?\nAnswer: -197565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (17 - 16)) + 5 - (9 + 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 4*k - 6. Let z be p(-4). Let u be 2\/7 + 114\/z. Let a(f) = -f**2 + 3*f + 2. List the prime factors of a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q**2\/9 + 436*q\/9 + 40\/9 = 0. Calculate q.\nAnswer: -1\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 7*h**2 + 6. Let b be k(6). Suppose l + 92 = -0*l - 3*c, -5*l + 3*c - 388 = 0. Is ((-9)\/(-2))\/(b\/l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rruaux. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 209*q**3 + 16*q**2 - 34*q - 1. What are the prime factors of l(2)?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6*2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -40 (c) -3\/5 (d) -970 (e) -0.1 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680 is divided by 417.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75.829 + 0.171. Let y = -75.94 + i. Put 0.2, -0.2, 1\/3, y in descending order.\nAnswer: 1\/3, 0.2, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -1b?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 7*v**2 - 8*v + 14. Let x be q(6). Suppose 4*u + 11 = x*k + k, u - 16 = -3*k. Solve -3*p + p = -4*b + 18, p - u = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b. Let u(l) = 15*l**2. Give m(u(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1336141 (base 7) to base 3\nAnswer: 100000100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/6)\/(2\/6). Let b(y) = 15*y + 29. Let u(t) = -13*t - 28. Let a(r) = -6*b(r) - 7*u(r). Let o be a(-18). Solve -k*f + 21 + o = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 2229819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:03 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 178639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -23*y**2\/2 + 45*y + 90. Does 18 divide j(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138*f**2 - 138*f**2 - 210*f**5 + (0 - 3 + 5)*((-4*f + 4*f - f**2)*(0*f**3 + 4*f**3 + 5*f**3) + 0*f**5 - 5*f**5 + 4*f**5).\nAnswer: -230*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or -13971\/100?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*h + 99744 = -2177*h for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 245*y**2 + 1457*y - 12137. Calculate g(-251).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by ((-2)\/4)\/(15\/30) - -113?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-23 + (26 - 17))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -220185, -220178, -220151, -220092, -219989?\n\"Answer: 2*y**3 - 2*y**2 - y - 220184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/10)\/((5\/4)\/5). Suppose 44 = 2*w + 3*k, -v*k + 32 = 2*w - 10. Calculate the remainder when 131 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 6. Let v(z) = z - 9. Let b(s) = -s + 13. Let c(u) = 5*b(u) + 8*v(u). Let i(j) = -4*a(j) + 3*c(j). What is the first derivative of i(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*d + 101766255, -3*q - 32081847 = d + 28977907. Let j = 31354032 + q. Suppose 15999221 + j = 5*l. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 6*p + 14. What is the remainder when 11 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z)**(-11)\/(z**(-2)\/(z*z**(-1\/3)*z)) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/101576132 and 11\/14390.\nAnswer: 507880660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5.0569722, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 - 0.7. Let c = a - 1.7. Let j = -0.998 - c. What is j rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2 + 2*y**3 + 2 + 7 + y**2 - y. Let d be q(-3). Let f = d - -58. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/3 + 589*u**3\/3 - 12211*u**2 - 75037*u\/3 - 37814\/3 = 0?\nAnswer: -1, 73, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide (139419\/(-42))\/(48\/(-224))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 12 = -7*j. Solve -d + 6 = -j*t, 5*t - 2 = -12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-4)\/18 - (-14)\/(-63). Let u = 31 + 8. Suppose -4*n + u + 45 = h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 100109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300259493 to the power of 1\/2, to the nearest integer?\nAnswer: 17328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/264)\/((-20)\/8)*(-3)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**5 + 3 + 6*a**2 - 3 + 8*a**5 wrt a?\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21007 is divided by 181?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*32\/24)\/(1\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108900 take away 0.13?\nAnswer: -108900.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -132 in descending order.\nAnswer: 2, -12, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57219393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = -22*a - 378 - 537 + 339 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from sssssssssspp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*k**2 + 558661*k - 1270620535.\nAnswer: 126*k + 558661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.09, -2\/73, 0.1, -3\/7 in increasing order.\nAnswer: -2, -3\/7, -2\/73, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -15 + -1 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2742 = 2*c, -4*c = 4*s - 0*s - 5484. Let o = c + -562. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*w - 10, 4*w = 2*m + 11 - 1. Let a(x) = x**3 - 2*x**2 + 6*x - 8. Let n be a(w). Solve -4 = -n*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 3*z + 5. Suppose 0 = -28*v + 25*v - 30. Let o be 15\/6*(-8)\/v. Let l = -6 + o. Calculate b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-1\/31)))\/w**(-22))**(2\/103) assuming w is positive.\nAnswer: w**(1428\/3193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:50 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16)*(-72)\/(-549). Let q = 632\/671 - n. Are q and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (sqrt(63)*-1)**2) + sqrt(63))*-4 + 5.\nAnswer: -24*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x + y, 2*x + 2*y = -3*y - 19. Suppose -6 - 3 = -x*j. Solve n = 4*b + 17, -4 = -j*n - 3*b + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**3 + 0*n**4 + 0 - 4*n + 65\/2*n**2 - 11\/5*n**6 + 0*n**5. Differentiate c(o) wrt o.\nAnswer: -264*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2801 - -2805. Put -38, j, -6 in increasing order.\nAnswer: -38, -6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22012022 (base 3) in base 15?\nAnswer: -1b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 11. Let t be r(-8). Find the first derivative of x**3 - 1 - x**3 + 0 - t*x**3 wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217027199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -388.7 take away -0.157863833?\nAnswer: -388.542136167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/6*(-126)\/(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/5, -6.92, 3\/5, -0.03, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*21\/(-210)*(-175)\/(-210).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 559, -0.1, 3, -2\/3 in descending order.\nAnswer: 559, 3, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 36. Suppose 2*r = s + 15 + 20, -m = s. Calculate the remainder when 55 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27\/5, 0.2, 0.1, -2\/3, 0, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.45, 1173, -2\/5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7499, 59717, 201441, 477425, 932423?\nAnswer: 1611189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -124*a + 633600. Is a a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q*t**2 - 8*q*t + 1432*q + 4*t**2 wrt t?\nAnswer: -2*q*t - 8*q + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996967 is divided by 532?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91560 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*x**3 - 2*x - 4 - 10 - 5 - x**2 + 24*x**3 in the form f*x + m*x**2 + k + b*x**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 644934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 678 + -535. Let u = v + -142. Sort 3\/4, 0.05, u in ascending order.\nAnswer: 0.05, 3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3190 and -31\/12.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*w + 108 = 412*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3559204*a**6 - 186993*a**2.\nAnswer: -427104480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 - (11 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.39 + 3.61. What is the nearest to n in 1, -1, 0.4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 2\/5, 8\/49, 77 in decreasing order.\nAnswer: 77, 1, 2\/5, 8\/49, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {t: 12, w: 2, k: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4)\/(-3))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*b**3 - 2*b + 60*b**3 - 8*b.\nAnswer: 838*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r + 2 = s, 5*s - 2*r = 13. Suppose -2*c - 4*z = 0, s*c + 0*z = -4*z + 4. Let f(j) = 8*j - 2. What is the tens digit of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1542?\nAnswer: 153a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 140c9 (base 13) in base 5?\nAnswer: 2200024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.839mg to micrograms.\nAnswer: 956839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztkz when four letters picked without replacement from ztnznxak.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q. Suppose -3*s = 5*k + 9, -9*s + 8*s - 3 = -k. Let x(j) be the second derivative of -j + k + 0*j**2 - 1\/6*j**3. Give m(x(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*u - 22 = -92, 5*q = 3*u - 156. Let t = 60 + q. Solve 0 = -5*c - 2*o - 0 + 2, t = 5*c - 5*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/20)\/(1\/150*3). Let z(x) = x**3 - 6*x**2 + 12*x - 12. Let u be z(6). Let n = u + j. What is the remainder when 68 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m**2 - 2 - m**3 - 21*m**2 + 5*m + 0*m**3. Give x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -1b05?\nAnswer: 1b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 311. Calculate the remainder when f is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2062817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 + 335. Let l(y) = -y**3 + 15*y**2 + 14*y + 50. Is l(t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1. Let p(o) = 5*o**2 - 15*o + 1. Let i(b) = -d(b) + p(b). Find the second derivative of i(w) wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269663361, 269663360, 269663359, 269663358?\nAnswer: 269663357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/48 - (-1)\/(9\/775779) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - p - 4. Let t be h(-4). Let s = 50 + t. Let g(l) = -l**s - 7 + 3*l + 9 - 1. Determine g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*b - 779, 4*l + 2*b - 789 = -b. Suppose l = -14*w + 15*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 1, o: 5, f: 3}. What is prob of sequence orw?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 10*g - 8. Let n be 3*(-2 + 42\/9). Let p be r(n). Let h = -5 + p. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -0.11 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2 + 51*k + 804.\nAnswer: 4*k + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197642 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 33. Let l be (1 + (-2)\/14)\/((-2101)\/(-77) - 27). Let n(w) = 6*w - 98. What is l*n(i) - 8*s(i)?\nAnswer: 2*i - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dchhcjjjdjmjmjc. Give prob of sequence jmj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + 2*h + 7*h**3 - 44*h**3 - h**5 + (-1 + 1 - 2)*(-3*h**2 - h**5 + 3*h**2) + 2*h**5 + 1 - 1.\nAnswer: 3*h**5 - 37*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllollxlxxolllllllxo. Give prob of picking 2 l.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6985555 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9528*v*w**2*y + 10*w**2 - 33*y - 4 wrt v.\nAnswer: 9528*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 3, d: 2}. What is prob of picking 2 e and 2 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11111 + 11.21111. Sort 6, c, -6\/11, 5, 4 in ascending order.\nAnswer: -6\/11, 4, 5, 6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*h - 2679, 1640 = 5*m - 5*h - 2825. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = h - 2*h. Is (0 + -1 + -5121)*(-14)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91015153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 + k**2 + 1 + 0*k**2. Suppose 0 = 2*v + 214 - 216. Give c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 45*g. Let x(l) = -204*l + 12. Let n(p) = 87*p - 5. Let a(q) = 12*n(q) + 5*x(q). What is a(u(t))?\nAnswer: 1080*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379*n = -9971 - 5198 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/617660 and 11\/434585576?\nAnswer: 2172927880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3283 (base 13) to base 10.\nAnswer: -7036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 95. Let x = 6 - t. Solve -x*q - 6 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-1 - (-110)\/20))*-12. Solve i = -26*h + 20*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15595192 divided by -4?\nAnswer: 3898798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:02 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*n**4 + n**3 - 140 - 6*n**2 + 150 - 2*n**3 wrt n.\nAnswer: -720*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*m + 148*m with respect to a.\nAnswer: -4*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - b = -50, -268*b = 10*g - 128*b - 137*b - 155 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122230332 (base 4) in base 11?\nAnswer: -751a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 570259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 17*x - 61. Let a be g(-12). Suppose 6 = 3*f + 3*l + l, 13 = -2*f + 3*l. Is a equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z. Let s(k) = -7*k**2 + 4*k. What is 6*l(f) - s(f)?\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 0, -2*x - 5*h - 239 - 401 = 0. Let t = x - -602. List the prime factors of t.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 3*l**2 + 2*l**2)*(-4*l**2 + l**2 + l**2) + (-5*l**2 + 4*l**2 + 3*l**2)*(-4*l**2 + 5*l**2 - 2*l**2).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-3.431381\nAnswer: 4.1176572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*j**5 - 411924*j**3*w + 671*j*w + j - w - 1863 wrt j?\nAnswer: -740*j**3 - 2471544*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 15.\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33224 + -1?\nAnswer: -33230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -819*z + 788. Is 55 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + 0.16. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7881876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 7 + (-87)\/(-12).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1872) + -1 + -5 + (sqrt(1872) + (sqrt(1872) - (3 + sqrt(1872)*-1)))**2 + -2.\nAnswer: -204*sqrt(13) + 16845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 215*s**2 - 2155*s + 2375 = 0. Calculate s.\nAnswer: -25, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-798)\/(-3) - (5 + -2 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsqsq. Give prob of sequence qq.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 17*z - 1536 = 0. Calculate the highest common divisor of z and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.047, 0.3, 9.4?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -5, 0.76, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t. Let o(d) = -d**2 + 3*d - 2. Let c(i) = 4*i**2 - 24*i + 16. Let x(l) = -c(l) - 8*o(l). Give h(x(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 - ((-119)\/(-28) - 7). Let t(f) be the first derivative of -1\/36*f**6 - 1\/4*f**2 + 1\/3*f - 8 - 1\/9*f**s + 1\/6*f**4 + 0*f**5. Factor t(o).\nAnswer: -(o - 1)**3*(o + 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a50 (base 13) to base 16.\nAnswer: 8796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/(sqrt(9)*3))\/((sqrt(6) + sqrt(6)*4)*3).\nAnswer: sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 6 - (1 + -2). Suppose 0 = 2*v + 5*m - x, 5*v - 29 = 3*m - 9. Calculate the remainder when 13 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4010 + 2120 + 9110 = 254*j for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74.1 - 63. Let d = k - 10.1. What is the nearest to d in 0.06, 3\/8, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 5*r - 2*u = 11, 57*r + 3*u = 62*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575316, 1147164, 1719010, 2290854?\nAnswer: 2862696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/488 and 89\/3440.\nAnswer: 209840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {h: 3, o: 9}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + q - 4*q)*(4 + 1 - 3) + q + q - 3*q - 6*q - 2 + 5*q + 4*q to the form g*q + j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -19, 130 in decreasing order.\nAnswer: 130, -0.1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - q, -3*b + 3 = -0*q - 2*q. Is (-7 - b) + 7 + 4194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22b58 + -1?\nAnswer: 22b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 20*h**2 + 9*h. Let d(a) = -19*a**2 - 10*a. Let x(b) = -5*d(b) - 4*o(b). What is the second derivative of x(j) wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 206773840?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34859\/5 - -6972. Sort 0, o, 82 in decreasing order.\nAnswer: 82, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:13 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/228*(18\/(-4))\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28.9 times -2\nAnswer: 57.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 2*n**3 + 2*n**3)*(-2*n + 3*n + 0*n) - 3*n + 3*n**4 + 2*n - n.\nAnswer: 4*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 35.9. Let c = -17\/11 + 641\/429. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let t(x) be the first derivative of 135 - 9\/2*x**2 + 0*x. Calculate t(m(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 361 + -357. Suppose -1 = -y - 2. Sort y, -3, l.\nAnswer: -3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*i - 0. Suppose p + 4*p - 62 = -4*h, -p + i = 3*h. Solve 3*t + 15 = 4*c, -3*c = -c - 4*t - p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 11*n - 5. Calculate the remainder when t(14) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.492761 weeks?\nAnswer: 1426.783848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/105 + v**6\/30 + v**5\/30 - v**4\/6 + 7*v**2. Factor a(w).\nAnswer: -2*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70124 by 70124.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 14 + 5*f**2 - 3*f**2 - f - 4 in the form s*f**2 + g + w*f and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/2, 287, -13, 2\/19 in descending order.\nAnswer: 287, 3\/2, 2\/19, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219924396 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + -6*(-2 + (sqrt(48) - sqrt(3))))**2.\nAnswer: -576*sqrt(3) + 1228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.045054 at least as big as -1.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/5 (b) -0.1 (c) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = 5*r, 0 = 4*v - 6*v + 5*r + 4. Find the second derivative of 155*q + 135*q - 242*q + 18*q**4 + 3*q**5 - v*q**4 wrt q.\nAnswer: 60*q**3 + 192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 - -186. Suppose -28 = -3*s - s. Suppose s*w = 10*w - 39. Calculate the remainder when x is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, 1 w, and 1 j when four letters picked without replacement from {k: 2, j: 1, m: 2, w: 7, c: 4}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 6*(sqrt(119) + -2*sqrt(119))) + -4*(sqrt(119) - sqrt(119)*1 - sqrt(119)) + sqrt(119))\/(5*(sqrt(700)*-3 + sqrt(700))).\nAnswer: -3*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.961252mm?\nAnswer: 1961.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q**2 - 3*q. Let a(u) = -360*u**2 + 56*u. Give -3*a(o) - 56*s(o).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1397947, -1397946, -1397945?\nAnswer: -1397944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(432))\/sqrt(9) - (sqrt(48) - (5 + 1*sqrt(48))))**2.\nAnswer: 40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 3. Let q(n) = 12*n - 8. Let l(t) = t. Let b be l(-14). What is b*i(z) + 5*q(z)?\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*b**3 - 13*b - 3.\nAnswer: -690*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 172*m**3 - 156692*m - 39503035?\nAnswer: 516*m**2 - 156692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217550?\nAnswer: 2, 5, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 1. Let j(m) = 31*m + 8. Let r(x) = -j(x) + 5*k(x). Determine r(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12491*n - 12496*n = 5*j - 125, -2*j - 2 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 7314773.\nAnswer: 10240682.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58 and 2.83115?\nAnswer: 55.16885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 - 7*b + 7. Let p(r) = -35*r**2 + 36*r - 36. Let g(h) = -2*p(h) - 11*s(h). Let j(y) = -4*y**2 + 3*y - 3. Let z = 28 - 31. Give z*g(t) + 5*j(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/28*2)\/(28\/882*-27)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n**3 + 12*n**2 + 8*n + 13. Let u(q) = -4*q**3 + 3*q**2 + 2*q + 3. Calculate 2*i(v) - 9*u(v).\nAnswer: 2*v**3 - 3*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68590945915 minus 0.5?\nAnswer: -68590945915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 - 7*f**2 + 29*f - 116. Let o be b(4). Calculate the highest common divisor of o and 1232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.0674 (c) -8.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-224)\/(-42). Let l be ((-4)\/i)\/((-7)\/(-924)). What is the greatest common divisor of 297 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d30 + -3?\nAnswer: -5d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.562 times -0.5\nAnswer: 3.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52540782 is divided by 1865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -601 and -2?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -2624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/7, 129, -1 in descending order.\nAnswer: 129, 0.2, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.716*-2\nAnswer: -9.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -15, 4, -2.519, 3?\nAnswer: -2.519","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4977 plus 24.5?\nAnswer: 5001.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2 - -21867?\nAnswer: 21888.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(13 + -3). Suppose 0 = j*x + 2*y + y - 256, 4*y = x - 65. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*t - 36*t + 30*t + (-3 - 2 + 4)*(-2*t + 3 - 3) to y*t + o and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 16 - 2)*(4 + 4 + 0)*(0*i**4 + 0*i + 2*i**4 + 2*i**2 - i).\nAnswer: 128*i**4 + 128*i**2 - 64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 664*o**3 - 4*o**2 + 4*o - 4. Let x(g) = -663*g**3 + 5*g**2 - 5*g + 5. Determine -5*v(y) - 4*x(y).\nAnswer: -668*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 33*m**2 + 6*m - 6. Let j(u) = 136*u**2 + 25*u - 25. Let x(h) = -6*j(h) + 25*t(h). Let l(b) = -481*b. Determine x(l(a)).\nAnswer: 2082249*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/1 + (-560)\/4. Let c be ((-1)\/3)\/(6\/m). Find the second derivative of -c*s + 0*s**2 - 5*s**2 + 2*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6974161g?\nAnswer: 0.0006974161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 209282*z. Let w(f) = -25*f. Calculate l(w(i)).\nAnswer: -5232050*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -473*b**7\/21 - b**4\/12 + 1675*b**3\/2 - b + 525. Find the second derivative of d(l) wrt l.\nAnswer: -18920*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234427.02 nanoseconds in minutes?\nAnswer: 0.000003907117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/5 in -3, 1\/12, 0.1, 7, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*k**3 + 19*k**3 + 6*k**2 + 17*k**3 - 24*k**2 - 7 + k**4 - 20*k.\nAnswer: (k - 7)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 22. Suppose d = 2*m + 6, o + 4*m - 132 = -3*o. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 2*u - 1. Suppose -5*q + 24 = -3*y, -q = 5*y - 2 + 14. List the prime factors of o(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 1.4, -10, -1\/24, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 106 (b) 6 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by (-14504)\/(-336) + 2\/(-12) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3)*5)\/sqrt(6) + (sqrt(240) - -1*sqrt(240))\/sqrt(3).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -6 - 2) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:54 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 246\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 546*s**2 - 903*s**2 + 2 - 85*s**2)*(s - 2*s - 4*s).\nAnswer: 7670*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86 + 26*f + f**2 - 70 + 14*f + 79 + 80.\nAnswer: (f + 5)*(f + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {v: 1, d: 2, a: 5, l: 3, n: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51257102 + -3?\nAnswer: 512570bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1257564mg?\nAnswer: 0.0000000001257564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 v, and 1 l when four letters picked without replacement from bbvvlvsvbsvvvsvcvs?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 + -1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114552009 is divided by 129000.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(4\/6)\/(((-242)\/(-33))\/11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -55*o**2\/2 - 1543*o - 2136. Find the first derivative of f(i) wrt i.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxbbx. What is prob of picking 1 b and 2 x?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 122*l + 54. Give i(25).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 771.97 + -1098.56. Round l to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by -41.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6581102.14 - 6581168.1987098. Let g = 120.0587055 + b. Let m = g + -54. Round m to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, 5, -250, 4, -1 in decreasing order.\nAnswer: 338, 5, 4, -1, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -5, -0.4, 1, -13\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -2026.\nAnswer: -810.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 4*n**2 + 3*n - 9. Let q be p(-5). Solve 2*d - f = q, 3*f - 11 - 16 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2561, -2549, -2525, -2483, -2417?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 6. Let q = -70 + 76. Let l be (20\/(-6))\/((-1)\/q*4). What is the tens digit of g(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1040)\/28)\/(-10) + 4\/14. Solve 0 = -2*q - 5*s + 13, -t*q = -4*s + 3 + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -r - r + 2048, 3067 = 3*r - 5*z. List the prime factors of r.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 9*u + 12. List the prime factors of x(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7417, 6498, 5579, 4660, 3741, 2822?\n\"Answer: -919*b + 8336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 18.58?\nAnswer: 18.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 greater than or equal to 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 18*o**2 + 9*o + 2. Let y(w) = -w**3 + w**2 + 1. Let i(f) = -j(f) - y(f). Is i(15) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-320) - ((-28)\/10 - -2). Let r = -1.1526 - -1.1526. Let m = -1.03 - -1. Which is the nearest to r? (a) f (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -920210 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*(-8)\/4*2. What are the prime factors of (-140)\/(-8)*c\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*n - 1259 + 703 = 2436 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243669 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mucnmmqmqmmcuuc. Give prob of picking 1 q and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 0, -v = -4*v - 4*k - 60. Let a be v\/(-4) - (1 + -1). Suppose -a*w - 10 = -7*w. Solve -w*g - 9 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.01, -0.028, -6 in decreasing order.\nAnswer: 2\/9, 0.01, -0.028, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/(-9))\/(8\/(-4116)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -1. Let k = 15 - h. What is the nearest to -1 in -2\/11, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-33))\/((11410\/840)\/(-163)).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -17 + 9 + 0 + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yfyyxyyyyyyyyyyyyyy.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - 2\/6. Suppose -x = 4*x + 2*v, d = -x - v - 3. What is the derivative of x + 0*a**3 + 0*a**3 + 2*a**4 wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by -970\nAnswer: 183\/970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 - -108. Solve 11 = -4*n - c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/30 + 59*v**5\/60 + v**4\/8 - 100*v**3\/3 - 3354*v**2. What is the derivative of x(c) wrt c?\nAnswer: -12*c**2 + 118*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8729006 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83345 is divided by 496?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 608.7 to the nearest 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2 - 6*w - 2*w**2 + 2\/3*w**3. Let u be i(4). Solve -3*d - 5 = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Let s = 2.2 + -2. Let r = -0.5 + s. Sort b, 1\/4, r in decreasing order.\nAnswer: b, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9028.2 - 948.2. Let n = -8080.063736 + j. Let i = 0.064 + n. Round i to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -19*u - 80. What is the remainder when (1 - -84) + -6 + 4 is divided by r(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10200532 - 3.23809\nAnswer: 10200528.76191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/390 + -7 + 372\/52.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Suppose -10*c = -14*c + 36. Let o be (-2)\/(-9) - (-25)\/c. Suppose o = 3*x + 6. Determine n(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/((-247)\/(-19))*(-4)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 13*b**2 - 9*b + 13. Calculate n(13).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*j + 5*j. Suppose x - 2*r - 1 = 2*r, 5*x - 53 = -4*r. Is j greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a - 324 = 61*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*y - 4*s + 17, 0 = 3*y + 4*s - 13. Let h(f) = -23*f - 3. Let u be h(y). Solve -d + u = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.026 and 125443?\nAnswer: 125443.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h + 63. Determine w(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017774 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2884460 - 2884460 - 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (408\/(-204))\/(8\/(-1416)*6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 1, i: 1, o: 1, m: 1}. What is prob of picking 1 o, 1 m, and 2 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 1. Let g(h) = 114*h**3 - 10*h - 10. Give g(x) + 10*q(x).\nAnswer: 114*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1302403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 109332449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19365091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3 + 16*d**2 + 123*d - 17. Let r(x) = -x**3 - 4*x**2 - 31*x + 4. Calculate -6*q(j) - 26*r(j).\nAnswer: 2*j**3 + 8*j**2 + 68*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/6*x**6 + 22*x + 0 + 10\/3*x**4 + 0*x**2 + 0*x**3 + 1\/2*x**5. Solve i(m) = 0 for m.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6596022*k**2*x**4 - 36*k**2*x - 14*k**2 - 10*k*x - 2*x**4 + 3*x wrt x?\nAnswer: -79152264*k**2*x**2 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5610, 5608, 5606, 5604, 5602, 5600?\n\"Answer: -2*b + 5612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*t - 88 = -114, -5*p = -t - 34. Calculate the remainder when 391 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/((-3)\/4746). Suppose -2*v + s + z = 0, -5*v + 1749 = -3*s - 228. Let g = v - 236. What is the highest common divisor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 0 - 2) + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5562672\nAnswer: -556267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3614557 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 2185?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (435 + (8 - 14) + (-10)\/(-1))\/1 is divided by 90.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**5\/210 + 4*c**3\/21 - 7*c**2\/2 - 15. Let i(d) be the second derivative of w(d). Factor i(v).\nAnswer: -2*(v - 2)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpwwjptjjpwwjtppwp. What is prob of picking 1 w, 1 t, and 2 j?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -1.22 (c) 3 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -21*l**2 + 10*l - 5. Let k(q) = -5 - 897*q + 4*q**2 - 897*q + 1792*q + 4 + 2. Suppose 3*g + 17 = x, 2*x - 3*g - 28 = -0*x. Determine x*k(w) + 2*h(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 - 5*a + 6. Suppose -5*g + 0*g + 3*d + 147 = 0, 5 = 5*d. Suppose -t - g = -6*t. What is u(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*l - 64 - 2146 = 0, -5*a + 4*l = -5561. Let h = a + -322. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555047 to the power of 1\/2, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2081791 and 1076?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461, -2871, -4259, -5649, -7065, -8531?\nAnswer: -10071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 3}. What is prob of sequence vc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88055184 to the nearest integer?\nAnswer: 9384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7507 + -7402. Solve 57*b - 72*b = -v for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.4, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.2711 kilograms to micrograms.\nAnswer: 18271100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-600)*10 + 3782\/(-15). List the prime factors of (-8 - -13) + (-1 - 0 - d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b**3)*(-7*b + 0*b + 2*b) - 3*b**4 + 3*b**4 - b**4 - 270*b**2 + 31*b**4 + 270*b**2.\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*v = -56, -2*v - 49140 + 49122 = o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.8.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -4 - -8) + -299 + 321.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 - 12984*i**3 + 14139135*i**2 - 195411258*i = 0. What is i?\nAnswer: 0, 14, 2157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-5 + 22 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j - 152 = -87*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 - 581 = -272*l. Solve 2 = -l*n - 2*d - 2, -4*d - 14 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -11*d**4\/4 + 5*d**3\/3 - 9*d**2\/2 - 5*d + 16. Let h(u) = -u**3 + u**2 - u - 1. Let v(i) = -6*h(i) + n(i). Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.4 times -83\nAnswer: 3934.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let x be ((-6)\/4 - -1)*r. Let m(g) = g - 1. Let p be m(1). Solve p*w = -w - x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 - 2)\/(-2) - 5. Suppose -c*r = -184 - 230. What is the remainder when r is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -23.3 (c) -540 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -12, 36 in descending order.\nAnswer: 36, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4 + 2*k**3\/3 - k - 75. Calculate t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -35 - (-3 - 6 - 19 - 6)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489*d + 91404 + 49772 - 51261 = -29557 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 + 123. Suppose 4*d = y*x + 29, -5*d + 5*x + 32 = 3*x. Solve 9*p - d*p + 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10457 - 439*c**4 + 10457)*(3*c - 4*c + 0*c).\nAnswer: 439*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let v = 12 + t. Solve -2*z + 7*z - 4*u = -v, -15 = 5*z - 5*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/5*(-5)\/1. Let p be 11\/51 + (-1)\/b. Let c be ((-5)\/1)\/(-1 + 0). Put -0.3, c, p in decreasing order.\nAnswer: c, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*p**5 - 37*p**5 + 21*p**5 + 9*p - 4*p**5 + 6*p - 11*p + (-p**4 - p**2 + p**2)*(4*p - p - 2*p).\nAnswer: 3*p**5 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 14. Let r be u(4). Find the second derivative of -16*h**2 + 16*h**r + 6*h + 10*h**4 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 92070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18628.9 less than 82088?\nAnswer: 100716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/765774 and 53\/2722752?\nAnswer: 24504768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 11. What is the first derivative of -1 + 2 - y*n**3 - 6 wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.102 + 0.602. Put 2\/11, 0.05, -3, s in increasing order.\nAnswer: -3, 0.05, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2404.543 + -2409. Let o = s + 4.9. Round o to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 3. Let u be t(4). Let z = -1 + 5. Let f be z + 1 - 0\/(-1). Solve 2*g - f = u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 9. Let u be h(3). Let w = u + 24. Suppose l + 1 = -w*l. Which is the second smallest value? (a) 0.8 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, 19, -113, 1.\nAnswer: -113, -19, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 101184?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - o**5 + 2*o**5 + (-2*o**4 - o**3 + o**3)*(-5 - o + 5) + 13*o**2 - 13*o**2 - 22*o**5.\nAnswer: -21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 5, -9543, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 994 - 1028. Let w(n) = -n**3 - 34*n**2 + 2*n + 68. Let b be w(o). Solve b = -9*d - 39 + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 97, -15 in descending order.\nAnswer: 178, 97, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiifwfiffzii. What is prob of sequence zii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) -0.1 (c) -1 (d) 139.5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 - 117 - 829*y**2 + 830*y**2.\nAnswer: y**2 - 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -11895924\nAnswer: -35687772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12256, -24489, -36802, -49189, -61644, -74161?\n\"Answer: h**3 - 46*h**2 - 12102*h - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rivzrvzrrvzvrzvvzvz. Give prob of picking 3 r.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let v(r) be the second derivative of -r**4\/4 - 6*r. Calculate v(i(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(((-4)\/(-75))\/((-456)\/(-1368))).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:05 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:59 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390068 - 7075443454\/18139. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008334 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19068\/17 or -1121?\nAnswer: -19068\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10479 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -117.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 94*d**2 + 3*d + 26. Let l = -538 + 535. What is the tens digit of c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15514*n**2 + 235*n - 15513*n**2 + 189*n)*(-4*n + 0*n + 2*n).\nAnswer: -2*n**3 - 848*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3804742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.20443 and 4?\nAnswer: 0.81772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.023295 = -2\/411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 453 + 127 = 0. Suppose 4*j = 97 + c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 16 = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z. Suppose 3*l - 47 - 7 = -3*g, l - 6 = 2*g. Let v(k) = -8*k + 22. Let c(u) = -22*u + 66. Let n(p) = l*v(p) - 5*c(p). Calculate n(h(f)).\nAnswer: -16*f - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232032 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -26.99935394.\nAnswer: 27.39935394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 - 107. Let i be 3 + 1 - -1 - s. Solve -4 = -i*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29147574499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - u**2 + 3*u - 2. Let g(k) = -2*k + 20. Let w be g(11). Let t be (w - -9)*(-16)\/(-56). What is x(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 24*d**2 + 2*d + 39. Give m(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*(-3)\/(-13 + 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497302079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -12*j + 200. Suppose k + 13 + 0 = 2*m, -2*k = -m + j. Let o be ((-3)\/k)\/(5\/(-15)). Let y(i) = 9*i - 1. Give y(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6432*r**2 - 2. Let v(y) = 2*y**2. Calculate h(v(l)).\nAnswer: 25728*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2875*s**4\/2 - 89124*s**3 - 62*s**2.\nAnswer: s**2*(s - 62)*(2875*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 206103*r\/2 + 412214.\nAnswer: -(r - 206107)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3\/3 + 1. Let k(j) = -5*j**2 - 26*j + 12. Let r(u) = -3*u**2 - 22*u + 8. Let x(f) = 2*k(f) - 3*r(f). Determine x(m(p)).\nAnswer: -p**4 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158.4 + 158.399077. Round u to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -3.42537.\nAnswer: -3.42537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 4\/3, -7, 1\/82 in decreasing order.\nAnswer: 1.7, 4\/3, 1\/82, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - y)*(5*y - 5*y - 2*y) + 2 + 5*y**2 - 4*y**2 + 0*y**2 - 314*y**2 + 1936*y - 1936*y.\nAnswer: -311*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 4*l**2 - 4*l**2 + (2 - 2 - l)*(-l + 3 - 3) - 3462 + 2816*l**2 + 1725 + 1739.\nAnswer: 2819*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653531.6 micrometers to millimeters.\nAnswer: 653.5316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, a: 1, u: 3, i: 2}. What is prob of sequence nn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z**2 + z + 208 - 208 + z.\nAnswer: -91*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 35 = -3*h, 0 = w - 3*w - 3*h - 5. Suppose 0*n - 925 = -3*n - w*q, n - 2*q = 290. Round n to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 12. Let r be -8 + 1\/(-1)*(4 + -3). What is o(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37191286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10*n - r - 835 = 0, -n = r - 131. Solve -3*a = 20*a + n for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 113949.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 198952, 397918, 596896, 795892, 994912, 1193962?\n\"Answer: q**3 + 198959*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(114)\/sqrt(6) + 0)**2 + 2*(3*sqrt(19))**2.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0069823445 to six dps.\nAnswer: 0.006982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) - 314\/8. Let m = -281 - -287. Let g(k) = k - 2. Let u(t) = 7*t - 13. What is m*u(x) + q*g(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17293074 is divided by 209.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -2\/15 (c) 0.2 (d) -0.065 (e) 28 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + 0*w)*(-168 - 8 - 27)*(w - 3*w + w) + 5*w**2 - 9*w**2 + 12*w**2 to y*w**2 + i*w + p and give y.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 6, 3, -0.4 in descending order.\nAnswer: 6, 4, 3, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -524341?\nAnswer: 524345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3038? (a) 7 (b) -0.3 (c) 992\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -775707?\nAnswer: 5\/775707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -194, -198, -204, -212?\n\"Answer: -j**2 - j - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 15, 3*l + 11 = -4*k - 10. Let p(m) = m**2 - 3. Let o be p(l). What is the units digit of (14\/o)\/((-5)\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(192))**2.\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2*c + 2. Let j be k(-3). Let p = j + 23. What is the highest common divisor of 80 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27330473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((114\/(-6))\/76)\/((-1)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 696*k = 700*k - 12, -2*k + 12 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5079 - 5078.6966. Which is the second biggest value? (a) -0.2 (b) r (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18647283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*f + 2730 = 351*f for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + 0?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.2 from -240444550.\nAnswer: -240444555.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3870 and 11858310?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:53 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127 and 3953.62?\nAnswer: -502109.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -737, -1611, -2825, -4379, -6273, -8507?\nAnswer: -11081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8170.985 litres to millilitres.\nAnswer: 8170985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 456 + -455. Let c = -5 - -8. Solve j + d - c = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 24*w**2 + 8 - 2.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7159\/10 + 1441\/2. What is the nearest to 0.1 in h, -3, 0.033, 2?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2716*n**2 + 2*n - 5443*n**2 + 2716*n**2 + 3. Let t(h) = 2*h**2. What is f(t(w))?\nAnswer: -44*w**4 + 4*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-606)\/35451 + (-20350)\/468)*2.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202920.\nAnswer: 2, 3, 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 3*m. Solve 1\/6*o**4 - 1\/3*o**3 + m + 1\/6*o**2 + 0*o = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/11 - 4528*q**2\/11 + 58550*q\/11 - 54024\/11 = 0. Calculate q.\nAnswer: 1, 12, 2251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228524.063 + 228428. What is q rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -6. Let d = i + 6. Let b = 2\/425 - 896\/9775. What is the second smallest value in -2, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000512706782 to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 - 3.64. Let l = -0.5 - a. Sort -0.1, l, 0.2.\nAnswer: -0.1, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/3 - 2\/6. Let r be ((-24)\/45)\/x + 0. Let t = 0.06 - 2.06. Which is the nearest to 0? (a) 1 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -5, -1.4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3255)\/2790)\/(1\/12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, f: 1, s: 1}. What is prob of picking 1 f and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0 (c) -0.4 (d) 371186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 3, -623, -1.52, -0.2 in decreasing order.\nAnswer: 3, -1\/9, -0.2, -1.52, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 12. Let o(k) = 7*k**2 + 0*k - k**3 + 0 + 6 - l*k. Let d be o(6). Solve 3*n + 3*r - d + 0 = 0, 3*n = 3*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1097 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23686, -47377, -71068, -94759?\nAnswer: -118450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*v + 2*v + 3401962782*v**2 - 3401962835*v**2.\nAnswer: -53*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3714 is divided by 1150.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -20)*(-2)\/(-6) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 4, m: 1}. Give prob of picking 1 d and 3 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from hkf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 101*-0.01\nAnswer: -1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2000001000?\nAnswer: -2000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 15793, 30.\nAnswer: 0, 4, 30, 15793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29061885?\nAnswer: 3, 5, 1937459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3095 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1172 and 781431?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222457 + 222506 + 672*p + 522*p + 1028*p wrt p.\nAnswer: 2222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, s: 5}. What is prob of sequence yyss?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1812314, 1812283, 1812228, 1812149?\n\"Answer: -12*h**2 + 5*h + 1812321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(686) + 1*sqrt(686) - sqrt(686)) + sqrt(42)\/(sqrt(15)\/sqrt(5) + sqrt(3)))\/(sqrt(216)\/sqrt(3) + 3*sqrt(242) + sqrt(2)).\nAnswer: 3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(1\/8) + -23494)\/(-3)?\nAnswer: 2, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**3 + u**2 + 5*u + 4. Give i(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 2 - (110 - (-38 + 108)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 103*h**2 - 3*h - 25. Let w(a) = -a**2 + a. Suppose -36 = -4*c - 8*c. Let k(x) = c*w(x) + q(x). Find the first derivative of k(l) wrt l.\nAnswer: 200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let i(v) = v**3 + 32*v**2 - 11*v - 1. Let x(q) = i(q) + 4*t(q). Let w be x(-22). Suppose -13*y + w = -9138. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 640, 1250, 2270, 3700, 5540, 7790?\n\"Answer: 205*a**2 - 5*a + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 7. Let s be (-1*2)\/(g\/(-427)). Suppose x = 2*y - 0*x - 41, 5*y = -4*x + s. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)\/sqrt(3) + (sqrt(143)\/sqrt(44) - sqrt(13)) - (-1 + (sqrt(2548) + sqrt(2548) + sqrt(2548)*1)\/sqrt(4)))*1.\nAnswer: -37*sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0933001 plus 0.4?\nAnswer: 0.3066999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*i**2 + 145*i**2 + 61*i**2.\nAnswer: 321*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.93 + 0.07. Let w = g + -9. Let a = w + 1.5. What is the closest to 1\/2 in -0.2, -1\/3, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1306.51 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**3\/3 - 4*i**2 + 3*i - 177. Let g(o) = 5*o + 2. Let a be g(-2). Calculate k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**3 + 0*i**2 + 0 + 1\/6*i**4 - 19*i. Let p(j) = -76*j. Calculate a(p(u)).\nAnswer: 11552*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5430 and 39.\nAnswer: 70590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 6 + 0*g**2 + 5*g + 2. What is u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19754.9 take away 0.5?\nAnswer: -19755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 632*h + 78899 - 68155 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 90 = 4*t. Let k be ((-144)\/t)\/((-5)\/(-75)). What is the highest common factor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/31 <= 0.019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -356.593561 from -0.3.\nAnswer: 356.293561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + o**2 + o**3 + 0*o**2 + 10*o**2 - 2*o**2 to the form y + k*o + v*o**2 + c*o**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 193539798 (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4*6\/16). Suppose 0 = 31*p - q*p - 760. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 5366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2445396 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384909 is divided by 444?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 9*p - 13. Let u be k(-7). Sort u, 2, 8, 4 in descending order.\nAnswer: 8, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217391945 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/26 - (12 + -7). Let d = -45 + 45.5. Which is the closest to -0.1? (a) d (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**3\/5 + 51*g**2\/5 + 48*g + 192\/5 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95437?\nAnswer: 19, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*261\/(-348)*20\/18*-3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -747 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6643 and 187369.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 91\/3. Let x = -1 + 1. What is the closest to x in 0.3, -4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2, h: 2, e: 2, v: 1, u: 1}. Give prob of sequence ve.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*f + 4*f**5 - 51*f)*(-10 + 0 - 16)*(-7 + 7 - 5).\nAnswer: 520*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*d + 7 = 11, 28 = 4*o - 2*d. Let l be (-4)\/(-6)*3*o\/(-3). Which is the nearest to -6? (a) -0.1 (b) -13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*s**4 - 74*s**2 - 2?\nAnswer: 3312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 62*j - 169. Calculate the remainder when p(-32) is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -17*y. Let b(p) = -9*p + 44798. Determine d(b(l)).\nAnswer: 153*l - 761566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 31*j - 4. Let x be k(31). Let t(g) = 11*g**2 + 7*g - 5. What is the tens digit of t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51986 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -70, -15 in decreasing order.\nAnswer: -1, -3, -15, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 471870463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 - 2*m**2 - 2*m + 2. Let u(t) = -27*t**3 + 15*t**2 + 15*t - 15. Suppose 4*j - 16 = 2*z, 0 = -3*z - 11 - 1. Give j*u(a) + 15*n(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*s + 5*c, 0 = -3*s + 4*s + 2*c - 8. Suppose 5*t + s = 40. Let b = t + 88. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + -540 + 541 + -78 + 0 + 0?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t\/t**(2\/5))\/t)\/t)\/t)**10*t**(-3)*t\/(t\/(t*t**(-2\/9))))**3)**(-3\/26) assuming t is positive.\nAnswer: t**(73\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-10))\/((-1248)\/(-4160))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1879)\/(-22) + (-1)\/2. Let g = -85 + k. Let z = -3\/25 + -2\/25. Which is the third smallest value? (a) g (b) 1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58862, 58859, 58854, 58847, 58838?\n\"Answer: -d**2 + 58863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 21. Determine l(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(5\/40). Sort 3, -1, y, -3 in increasing order.\nAnswer: -3, -1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 - 2*t - 7. Let c(a) be the second derivative of a**4\/12 - a**2\/2 - a. Calculate 6*c(o) - l(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-45) + (177\/(-5))\/(-3). Suppose 5*w + 329 = s*w. Let j = w + -9. Calculate the remainder when j is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 2*f**2)*(-143143 + 143143 + 32*f - f**2).\nAnswer: -f**4 + 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/105 + -311\/210. Let g = -1.382 + -1.618. What is the nearest to -1 in 0, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 5. Let k be n(-18). Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = -4898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 702.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 49*a - 47*a. Let w = a - -87. Calculate the common denominator of -51\/8 and 1*-1 - 65\/(-80)*w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 8 + 1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1767 - 2277 = -30*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 1128*f - 1125*f = -2244*f - 82, -4*f = 5*j + 43 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -52. Suppose -2*g + 8 = -0*g. Suppose g*c + 32 = h, 2*c - q - 3 = -3*h. Calculate the greatest common factor of 108 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(539) - sqrt(539))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m = -5*n + 40*m + 1050, 3*m = 12. Suppose -21*a - 80 = -n. Solve -a = 2*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 2, a: 1, d: 2}. Give prob of sequence oe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-37 - -26) + (4 - 8) + 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 13*r = 50. Let b be 1 - -1 - (-59 - -17). Suppose 20 + b = 4*q. What is the remainder when q is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-29 - 5 - 4) + 0 - -8 - 10).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = -x - 147 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 580, 580, 610, 688, 832, 1060, 1390?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9972 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37\/(-7) + (-20)\/(-70). Let d be c\/2*(-36)\/45. Suppose 5*z + 8 - 38 = 0. Solve d*s = -6*r + 2*r - 6, -3*s - 3*r - z = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-4 + 21 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 23 (b) 2 (c) 1275915\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713584899 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*d + 7 = 0, -l - 45*d = -40*d + 10. Solve -3*z + 2*z = l*p - 4, 0 = z - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/575 and -73\/52125.\nAnswer: 1198875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 579 = 69. Let w = t + -67. Suppose 0*z - z + w = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 2*g - 3. Let c be q(2). Is 16 a factor of (36\/c)\/(1\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 859.8286mg?\nAnswer: 0.0008598286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c - 10. Let l(a) = a**3 - 6*a**2 - 9*a - 2. Let r(w) = -8*w - 58*w**2 + 29*w**2 + w**3 + 25*w**2 - 1. Let o(q) = -4*l(q) + 5*r(q). What is o(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/2))\/(b*b**(-1\/4))*(b*(b\/(b**1\/b))\/b)**(-18)*(b*b*b\/b**3*b*b)\/(b*b**(-1\/7))*(b**(2\/7))**(-7\/8) assuming b is positive.\nAnswer: b**(-215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3662719\/(-4) - 1\/4. Let w be (489732\/10 + 84\/(-210))*25. Let o = w - y. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*sqrt(700)*1 - (-4 + (sqrt(700) + -1 - sqrt(700)))) + 4*(0 + 1 + sqrt(700)))**2.\nAnswer: 9720*sqrt(7) + 340686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 1:04 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 324 + -125283?\nAnswer: -124858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -8. Suppose 343*g = 80*g - 379*g + 1926. Let v(u) = -u**2 - 3. Let f(y) = -3*y**2 - 6. Give g*f(d) + q*v(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 261*o**3 + 48*o**2 + 6*o - 1596. Let x(b) = 5222*b**3 + 952*b**2 + 119*b - 31920. Let v(z) = 119*n(z) - 6*x(z). What is the derivative of v(m) wrt m?\nAnswer: -819*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22546591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*36\/((-8)\/(-2)). Let w = m - 134\/3. Let z = -0.1 + -0.9. Which is the smallest value? (a) z (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 12. Let s be a(7). What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033209947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -188.\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2773\/240 + 203\/16. Let t = -7\/15 + s. Which is the closest to -2? (a) 15 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 53. Let r be ((-10)\/k*-8)\/(14\/(-49)). Factor -5*l**2 - r + 12*l - 2*l - 25*l.\nAnswer: -5*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/23857 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 90. Suppose 5*o - 2*o - 5*n + 6 = 0, 0 = k*o - n + 6. What is the second smallest value in 2\/9, o, 2, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1199, -1196, -1193?\n\"Answer: 3*m - 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720 divided by -5.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*g = -g - 3, -15 = -5*b - 4*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19*l**2 - 54*l - 2568. What are the prime factors of w(-41)?\nAnswer: 5, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y - 15. Let f be h(-4). Let v(x) = 23*x + 3. Let w be v(f). What is the greatest common divisor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxidcincoinoxion. What is prob of sequence ncxc?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 7*q - 9. Let j(t) = t**3 + t**2 + t - 4. Let l be j(0). Is g(l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(2\/18)\/((-2)\/(-18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 235*b**2\/2 + 16*b - 209. Find the first derivative of t(y) wrt y.\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-19)\/(-6) - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80243\/377 + (-2)\/(-13) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*5*(sqrt(1700) + sqrt(1700) + -1 + -1)*-2)**2*-4 + 2.\nAnswer: -43545601 + 512000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 + -1 - (1 + 3). Let b be ((-80)\/56)\/5 + 1824\/d. Calculate the highest common factor of 52 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 0.37, 25.4, 9, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7671 plus -324?\nAnswer: -314.2329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235334303.\nAnswer: 59, 3988717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8320 and 42880?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10375 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 94 + 198 = -98. Calculate the remainder when 145 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-6)\/27 + 104\/144) + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -27)\/(-2) - 3. Let w be (-2)\/z + 51\/5. Find the first derivative of -3 + 2*k**4 + 10*k**2 + 1 - w*k**2 wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.138 in 33.4, -5\/4, -0.1, 2\/13, 2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -395 - -487. Let k = 98 + -94. What is the highest common factor of u and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 26*f + 7. Let b = 28 + -24. What is the hundreds digit of w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 10*j**2 - 5. What is f(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14310 divided by 6.\nAnswer: -2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -u. Suppose -5*w + 585 = g, g + 328 = u*w - 3*g. Suppose -p - w = -5*z, 4*z - p - 90 = -3*p. What is the remainder when 66 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*x - 50 = 0, -2*p - 59 = 5*x - 4. Suppose -3*y - 28*y - 496 = 0. Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1042220 + 10?\nAnswer: -1042210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-117*(-12)\/1944)\/(7\/18).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwinhnwhwmhmhwwhhhi. Give prob of picking 1 w and 2 m.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/126 and 73\/14643.\nAnswer: 205002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**3 + 113 - 113.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 263347451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3 - 4*g**3 + 13*g**5 - 4*g**3 + 7*g**5 + 2*g**4 = 0.\nAnswer: -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1160\/(-290))\/((16432\/130)\/((-2)\/(-5)))?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkpnvnm. Give prob of sequence kn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (13 - 17) - (-6 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let b(r) = -r**2 + 105. Calculate b(i(q)).\nAnswer: -q**4 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*k + 23, 12*n - 46 = -9*k + 7*k. Solve 2*w = -5*u + k, 3*w + 9 = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 402115\/924*(-34)\/10. Let h = u + 1480. What is the common denominator of 149\/48 and h?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(133) - sqrt(133)*2)*3 - sqrt(133))\/(-4*sqrt(14)\/sqrt(2)) - (-5 + sqrt(76)\/sqrt(4) + 5 + 2)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74534273 by -3587.\nAnswer: -20779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a4 + 1b223?\nAnswer: 1b03b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-22))\/((-174)\/(-8)). Let t = -676\/6061 + g. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.025, 1, -2, -2\/13, 22 in decreasing order.\nAnswer: 22, 1, -0.025, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 14 = 4*v, -4*v + 15 + 2 = -5*d. Solve -v*r = r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 181?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 13 = 4*f - 0*j, -44 = -5*f + 8*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -746865*f*w**4 - f*w**2 - 2012148*f - 3*w + 2 with respect to w.\nAnswer: -2987460*f*w**3 - 2*f*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100202000 (base 3) to base 6.\nAnswer: 52513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 421132345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 + 0.07. Let d = 11 - 10.7. What is the closest to j in 0.5, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, 1 s, and 1 r when four letters picked without replacement from ksksrrdhrsch.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**2 + 22*j + 709. Is d(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486643548069 + 486643548069 - 6*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*y. Suppose 4*k + 4*w = 4, 0*k + 3*k = -5*w + y. What is the tens digit of 16 + -20 - (k + -51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 9*s - 6. Let m be y(8). Let n(u) = -u**3 + 2*u**2 - 2*u - 1. What is n(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2 - (12 - 16). Suppose -10*n + 60 = -p*n. What is the third derivative of 6*r**4 - 8*r**4 + 8*r**2 + 13*r**4 - n*r**2 wrt r?\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82458 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -16 - (47 + -21 + 2 + -6 + -18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -113983583 and -58205?\nAnswer: 113925378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 3*s + 13*s + (-1 + 0 + 3)*(-3 - 2*s + 3) + 0*s + 19*s - s + (s + 3*s - 2*s)*(-4 - 2 + 5) - s + s + 2*s to h + d*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 3.06. Let j = 77.16 + -77. Let s = z - j. What is the third smallest value in 2\/19, 2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 12 - 12. Let l be 1\/6 - (-209)\/r. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001085415903 to seven decimal places.\nAnswer: -0.0010854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 219\/(-3358)*(-2)\/3. Suppose 0 = 3*c - 5*r - 18, -4*c + 4*r + r + 19 = 0. Is c at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (108\/6)\/(2\/1). Let h be -108*(3 - 33\/x). Suppose -2*n + 0*n = -h. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1116 + 1796?\nAnswer: 28b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:32 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2 - 35\/5. What are the prime factors of f\/(-4)*28\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*f - 5, 6*f - 10 = f + 2*u. Suppose f = 3*a - y + 10 - 68, 5*a - 4*y = 106. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -4.46.\nAnswer: 0.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 10*w**2 - 6*w - 5. Let f(j) = j**2. Let r(d) = -5*f(d) - t(d). Let o be r(6). Sort 2, -4, o.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 9*c + 4. Let u be i(-3). Suppose 4*r + 21 - 9 = -2*p, p - u*r = 12. Solve 2*d + p*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570064 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25*2\/(-15))\/(2\/3). Solve -t*b + 25 = -4*n, -3*n + 10 = 3*b - b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -400424.\nAnswer: 360381.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 6*c + c)*(-108 - 20 + 27 - 59 - 68) as h + r*c and give r.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -3354?\nAnswer: -3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9249 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -441*r**2 - 220*r + 152 + 107*r**2 - 152 wrt r?\nAnswer: -668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from elslelllellleeoeeee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2. Let g(y) = y - 593. What is n(g(h))?\nAnswer: -2*h**2 + 2372*h - 703298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**7\/10080 + v**6\/1440 - v**5\/480 + v**4\/6 - 10*v. Let b(k) be the third derivative of q(k). Factor b(d).\nAnswer: -(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (53254\/5)\/(-9*9\/(-405)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4523*k - 2879*k - 9*k - 207508 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -578466340 or -578466341?\nAnswer: -578466341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -325, -320, -309, -292?\n\"Answer: 3*b**2 - 4*b - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16576, 33138, 49700, 66262, 82824, 99386?\nAnswer: 115948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 91.11352s?\nAnswer: 91113520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 < -273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, a: 1, z: 1, s: 2}. Give prob of sequence vszv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 34*m**2 - 48*m - 29. Determine t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 89, 16, -113\/2?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 minus 73665.7764?\nAnswer: -73960.7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*t = -22 - 6, 0 = 2*d - t - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 92517144.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2033*m + 341. Is k(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4 + (-36)\/48. Is 6062*5\/(10 - w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k - 1. Let o = 14 + -13. Let p be i(o). Suppose p = g - 4 - 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 + 267. Which is the second smallest value? (a) 8 (b) 1 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2464, 3, -3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119391, -477425, -1074147, -1909557, -2983655, -4296441?\n\"Answer: -119344*f**2 - 2*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.26 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*j - 7610 - 7150 = -1273*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + 29\/3. Let p(j) = -j**3 + 5*j**2 - j - 2. Let w be p(4). Suppose -5*v + 35 = w. Solve l + 22 = -v*b - 7, 5*b - 4*l + z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696 = -3*k - k + 208*q + 220, -2*k + 22 = 5*q for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4697502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(108))**2.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*4\/24 - 10\/(-18). Put 0.01, 3, d, -2\/3 in descending order.\nAnswer: 3, d, 0.01, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 2 - (-2 - 59) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404120234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.56 - 2.64. Let s = 2.40533524 + -2.325335. Let p = s + z. What is p rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-8)*0 - 2. Let n(d) = -8*d**3 - d. Let r be n(l). What is the common denominator of 273\/r + (-1)\/2 and -20\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 183643964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*u + 18*u - 52*u + 40*u**2 - 119*u**2 to the form q + d*u + t*u**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -9170, -33523, -80950, -159143, -275794?\nAnswer: -438595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 14*d**4 + 24*d**3 - 56*d**2 - 64*d = 0. Calculate d.\nAnswer: -2, -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065 is divided by 2344.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22, 626, -8 in descending order.\nAnswer: 626, 22, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**4 + 3661325*q**2 + 29*q - 436400.\nAnswer: 12*q**2 + 7322650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1568 (b) 4 (c) 2\/11 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18025, 19666, 21307?\nAnswer: 22948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.478 (b) 60\/187 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 92*c**2 + 289*c - 101. Give o(-4).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 106\/5 + 5\/(-25). Let j = h + -23. Let n(i) = -3*i + 3. What is the smallest common multiple of n(j) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 12. Let u(d) = -2*d - 11. Let x(p) = -6*r(p) - 7*u(p). Let c(s) = 1. Let f = 988 + -987. Give f*x(o) - 5*c(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/21 + 1\/3. Let y = 35.7 + -36.7. Which is the closest to 0? (a) 6 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - o - 4*o - 9, o + 27 = 3*i. Let x(s) = 10*s**3 - 7*s**2 + 2*s**2 - 2*s + 2*s**2 - i*s**3. Let a be 2 + 2\/(2 + 0). Determine x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2334)\/(-4))\/((-18)\/(-36)). Suppose 4*b = 7*b - g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*h - 877*h + 2778 = -527*h + 7167 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + t + 26 = -2*s, -6 = 2*s + 2*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 6:15 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.853*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(4)\/sqrt(2) + sqrt(2) + -4 - sqrt(2)).\nAnswer: -19 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 70 = -4*j. Let y be 0 + 2\/10 + (-3510)\/50. Let a = j - y. Solve i = h - 4, 2*i - 4 = -2*h - a*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/28, 4, -1, 3, 11\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*a**3 - 974*a**3 + 2070*a**3.\nAnswer: 170*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 6 = 2*i, -5*i + 6*y - 10*y = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.78093 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:11 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8095\/16182 + 2\/8091. Sort n, 1, -23 in descending order.\nAnswer: 1, n, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1093b55 (base 12) to base 14.\nAnswer: -5ca98d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-357)\/(-14))\/((-1)\/(-238)). Let o = 66807\/11 - i. Find the common denominator of o and 43\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562111868 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 2*k**3 - 2*k**4 + 2*k**3 - 13*k**2 - 14 - 15 + 11*k**2 to y*k**2 + w*k + s*k**4 + x + a*k**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((24\/(-20))\/6)*(-3444)\/410?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**3 + 1\/5*f**5 + f + 1\/6*f**4 + 0 - 7\/15*f**6 + 0*f**2 + 4\/21*f**7. Determine t so that n(t) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -60*q + 66. Is x(-3) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**6\/720 - 7*q**4\/24 + q**3\/6 - 31*q**2. Let f(i) be the second derivative of v(i). Let c(j) = 115*j. Calculate c(f(r)).\nAnswer: -115*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 + 5*t - 1. Let u be h(-4). Let q = -389 - -340.4. Let p = q + 48.8. What is the fourth biggest value in p, -1\/2, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54494 and 16655348.\nAnswer: 183208828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 + v**3 + 2*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxt when three letters picked without replacement from {t: 1, k: 2, x: 14, b: 2}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4\/869 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7295 divided by -62?\nAnswer: 7295\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 16*l**2 - 63*l - 1145. Give n(-15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + q = 7, -8 - 19 = -y - 5*q. What is v in -1\/3 + 2\/9*v + 1\/9*v**y = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*l + 8, -6*t - 3*l + 7 = -8*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgtg when four letters picked without replacement from tgtt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 8*g + 6. Let p(s) = s**3 + 6*s**2 + 1. Let z be p(-6). Let w be (16\/(-28))\/(z\/(-14)). Let q be u(w). Solve 2*l = -l + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 666363 and 1812.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (29\/29)\/((-9)\/2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 25, -394, 2\/3, 1\/9, 5, -1.1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 79 = 109 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b**4 - 30*b**3 - 225*b**2 wrt b?\nAnswer: 264*b - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 53052 + 53072, -5*z = 2*s + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055891 rounded to seven dps?\nAnswer: -0.0000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/22)*v*v\/(v\/((v\/v**15)\/v)))\/(v**(-7))**(-15) assuming v is positive.\nAnswer: v**(-2615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0 (b) -0.03 (c) -227 (d) -0.5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.9640237 rounded to 1 decimal place?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400525.\nAnswer: 5, 7, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 866244.3 centuries?\nAnswer: 8662443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 2*h + 0*h + h + h - 3*h + (2 - 2*h - 2)*(-1 - 2 + 2))*(-3*h - 3*h + 5*h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlfmmfmlfvmlml. Give prob of picking 2 l and 2 m.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 557 in 0.1, -0.5, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(0*s + 2*s + 0*s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != -62173.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -8*y + 13. Let v be ((-6)\/24)\/((-10)\/8). Which is the third smallest value? (a) -0.2 (b) y (c) -3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -11 + 0 + -30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (101 + -47 - 85)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11218504 is divided by 51226?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 6\/(-36) - 5\/(150\/(-215))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 30, 39, 48, 57?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d7908 (base 16) in base 15?\nAnswer: 126937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -15. What is the lowest common multiple of 63*((-2)\/(-6)*-4 + 2) and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7273, 10994, 17195, 25876?\nAnswer: 37037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Suppose h*s = 0, b - s = s + 49. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 157\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(3)*-1*2 + 0 + (-5*(sqrt(24) - sqrt(48)\/sqrt(2)))\/(-1*sqrt(1152)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g)\/g)**(-8\/13) assuming g is positive.\nAnswer: g**(128\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1241089364*w + 1241089371*w + 9*w**2 - 2482178735*w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137767945 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 12 + -9 + (-21 - 0) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 138*s - 139*s - 1 - 3 - 3*s**2. Let p(i) = -i**2 - 1. Give m(r) - 5*p(r).\nAnswer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -16, -9, 0, 11?\n\"Answer: s**2 + 2*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.1 (c) 1\/3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 85808 divided by 4\nAnswer: 21452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23427527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20428317 or -20428311?\nAnswer: -20428311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -7*n - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 19*k + 638. Calculate p(-34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -3 + sqrt(252)*-3 + -4)**2 + 2*sqrt(700) + (sqrt(28)*3 - sqrt(28))\/sqrt(4))*3.\nAnswer: 570*sqrt(7) + 3171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394099061, -394099065, -394099069, -394099073?\nAnswer: -394099077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/4)\/(-11 - (-12 + -8)). Let z = 10.8 - 11. What is the closest to 8 in z, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32 and -13563.\nAnswer: -13531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**6\/c*c)**(-1\/19) assuming c is positive.\nAnswer: c**(-7\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 45. Let k(a) = -a - 15. Let j(o) = -2*g(o) - 7*k(o). Calculate j(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*18343\nAnswer: 1467.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12082?\nAnswer: 2, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(-3 + 3 + j) + 6*j - 3*j - 2*j - 2*j + j + 0*j + (3 - 4 + 2)*(-3 + 3 - 2*j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.500558 litres in millilitres?\nAnswer: 6500.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.056 + -15.556. Let x = -12.91 - 2.09. Let y = z - x. Which is the third biggest value? (a) 7\/4 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138039 (base 15) in base 6?\nAnswer: 32040000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 5*a + 2. Let t be w(6). Let o = 707 - 1714. Let j = o - -1005. Put j, 6, t in increasing order.\nAnswer: t, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -68, -69, -72, -77, -84?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54647.\nAnswer: 54647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140265*v**3 + 4*v**2 - 8872*v + 26 wrt v.\nAnswer: 841590*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -2*b - 1, 15*w - 21*w + 3*w - 12 = -3*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 12*x - 25. Let q be (-5)\/(x\/(5 - 3)). Is q smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l - 100. Give m(21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2640 and 45?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**2 - 2*w - 2. Let i(v) = -15*v**2 + 3*v + 3. Calculate 2*i(g) + 3*k(g).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591730 is divided by 98617.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245.11 - 242. Let j = k + -1.11. Suppose 2 = 5*t - 3. What is the nearest to 1 in 0.5, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 + 10*x**2 - 7*x**2 - 16*x**2 + 0*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*n**3 - 9 + 35*n**3 + 44*n**3 - n**2 - 49*n + 11 as k + u*n + h*n**2 + s*n**3 and give u.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/(-26)*-4*(-2)\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from pnpzxppnppxpznqpr.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 - 7*n**5\/60 + n**4\/4 + 4*n**3\/3 + 8*n**2. Let b = 7 + -6. Let z be (-3 + 11)\/b - 2. Calculate o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z + 36. Let b = 3 + z. What is the units digit of (290\/(-30))\/(1\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198 + 1110?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 5760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**3\/3 + g**2 - 111*g + 14. Let m be a(0). Is (m\/6)\/(-1)*14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2671601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {h: 2, s: 1, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87722*j**4 + 5*j**3 + 310661.\nAnswer: 350888*j**3 + 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5100) - (sqrt(5100) + (sqrt(5100) - 1*sqrt(5100))))*5 + sqrt(5100))\/(-6*sqrt(9)\/sqrt(3) - (sqrt(3) + -4*sqrt(3)*-1 + sqrt(3))).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*f - 219 - 38 = 0, 5*f = 2*x + 118. Let d(a) = -a**2 + a - 69. Let t be d(0). Let w = x - t. What is the greatest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 4. Let x(r) = 2*r**3 + 3*r**2 - 5*r + 4. Suppose 2*n = -z + 6, 6*z - 2*z - 8 = 0. Let c be x(n). Suppose -10 = -4*h - c. Calculate g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:16 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*a**5 - 9*a**4 + 2*a**3 - 2*a**2 + 199.\nAnswer: -2160*a**2 - 216*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61580.9ml to litres.\nAnswer: 61.5809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18a0a43 - 12?\nAnswer: -18a0a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**7\/6300 - s**6\/900 - s**5\/100 + s**4\/3 - 7*s**2. Let t(i) be the second derivative of p(i). Factor t(l).\nAnswer: 2*(l - 3)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 50*z = 2659230000. What is z rounded to the nearest 1000000?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*l - 65*l + 228 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 46 = 9. Let g = -7.33 - -2.33. Sort 18, z, g.\nAnswer: g, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 * 41\nAnswer: 0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17917051 to the nearest integer?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30958 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141052*b - 46 = 141220*b + 11210 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10\/3407?\nAnswer: -10\/3407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b - 18. Let s be d(-2). Suppose 3*g = s*g. Solve 5*o + g + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:34 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, -23, -89, -191, -335, -527, -773?\n\"Answer: -p**3 - 9*p**2 - 2*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) 1\/9 (c) 0.0409 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/7 + (-6 - -6) + 4\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6325 is divided by 2097.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccttc. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5\/4, 2, -11\/105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2. Let u(r) = 280*r**2 + 27*r + 9. Let m(s) = 140*s**2 + 12*s + 4. Let d(j) = -9*m(j) + 4*u(j). What is d(l(p))?\nAnswer: -14000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6217457 millimeters to nanometers.\nAnswer: 621745.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 1898\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 4*j**2 - 28*j - 1. Suppose 0 = -12*g + 120 + 84. Is 9 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n = 304*n + 63 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 + f**4\/4 + f**3\/3 - f**2\/2 - 4*f. Let l be d(3). Let h = 0.26 - 5.26. What is the third smallest value in h, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 56*v - 121. List the prime factors of (-23 + (-10)\/1)\/((-1)\/v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.3*1\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31730*v**3 - 12867*v**2.\nAnswer: 190380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37 + 2 - (-2 - -6). What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 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: What comes next: -144, -395, -816, -1407, -2168, -3099?\nAnswer: -4200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895 - 1694 = -47*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**4\/12 - 23*n**3\/6 + 16*n**2 - 19*n. Let d be w(-22). Calculate the common denominator of (-17)\/2*(d\/16 + -4) and -151\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b = -22*b - 256 - 185 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13965 + 46*p + 13965 - 39*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 15 = 0, 3*x - x + 17 = 2*o - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 1. Let o be w(5). Suppose 36 + o = d. Suppose -3*p = -d + 6. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:31 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r**(-2\/7)*r*r))))\/r*r)\/r*r*r\/r**(-1\/3)*(r**1)**(11\/6))**33 assuming r is positive.\nAnswer: r**(1133\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290927 is divided by 2310?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3 - 25\/(-10)). Let d(i) = 5*i + 9. Let q(n) = n + 2. Let b(s) = 6*d(s) - 26*q(s). Let m be b(f). Solve -5*c = m + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 2999*x\/5 - 5994\/5.\nAnswer: -(x - 2997)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 0.4, 13420 in increasing order.\nAnswer: 0.31, 0.4, 13420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 529 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 46914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q + 1405. Let r be h(42). What is the greatest common factor of r and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7. Let p(v) = v + 15. Let m(i) = -4*p(i) - 9*w(i). Determine m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-19 - (-10 + 3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -30, -116.\nAnswer: -116, -30, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -1.95. Let v = 8.4 + -12.4. Sort v, t, 3\/5 in decreasing order.\nAnswer: 3\/5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 476, 1047, 1826, 2801?\nAnswer: 3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12064, 12115, 12362, 12901, 13828, 15239?\nAnswer: 17230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 92443 = 151157. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7355.22 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 5*w, 4*w - 436 = 2*j. Let m = 304 + j. What is m rounded to 0 decimal places?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f. Let b(v) be the second derivative of -v**3 - v**2\/2 + 22*v. Calculate 2*b(t) - 5*n(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = -2*m - 146 + 216, -5 = 4*k + 5*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 876652.1171 to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*9.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 49080300 to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(35\/10 + -4). Let r be 6\/((-3)\/u*20\/8). Solve -q - 20 = r*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {m: 1, n: 3, u: 6, l: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 5*k**4 + 2*k**4 + 3*k**3 - 16*k**4 - 5*k**3 as l*k + y*k**3 + d*k**2 + q + m*k**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5751610008?\nAnswer: 2, 3, 379, 632323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279\/5 - -93\/10. What is the common denominator of r and -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129290?\nAnswer: 2, 3, 5, 37643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * -1.2\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - h = -17 + 4, 3*h - 15 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4320761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 86829960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*u - 18, -j - u - 4 = -2*j. Suppose -j*h = -48 - 117. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/3 - 5. Let f(w) be the second derivative of 0*w**2 + 1\/20*w**5 - w + q*w**3 + 0 + 0*w**4. Find the second derivative of f(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21*c - 9 - 27*c + 6 + 39. What is a(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -565.8 + 0.013346\nAnswer: -565.786654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**4 + 132*l**3 - 420*l**2 + 428*l - 144 = 0.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 14 = -2*y, -5*y - 2*u = -37. Let r be (y\/15)\/(3\/15). Solve -r = -3*v - 0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -41216?\nAnswer: 41224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 12*d - 7. Let u(f) = -f. Let m(y) = -j(y) - 2*u(y). What is the least common multiple of 3 and m(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-3) + 1*-4. Suppose 3*d + 45 = -3*l, -3*l + 8*d = 9*d + 33. Find the common denominator of (-3)\/l*f\/(-35) and -119\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -908, 2, 1, -5, -27.\nAnswer: -908, -27, -13, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Suppose 4*w = d*l - 12, -6 = -3*l + w + w. Suppose l*p = -p + 40. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -60. Suppose -11*l + 126 = -x*l. Suppose -5*v = -3*a + 4*a - 109, 2*v - a = 38. What is the greatest common factor of v and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2872.723 times 1\nAnswer: 2872.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418832.1 centimeters to kilometers.\nAnswer: 4.188321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**2 - 32. What is s(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48215188*h**2*q*z**2 - h**2*q*z + h**2*z - h**2 + 20*h*q*z + 13*q*z + 5*q - 160 wrt z?\nAnswer: 96430376*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 - 90 = 7*l. Let y = l + 129. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139529164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 741 - 16c?\nAnswer: 5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 - -0.1. Let x(p) = -2*p**2 + 13*p + 1057. Let o be x(-20). Which is the biggest value? (a) -1\/6 (b) 1\/5 (c) o (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 15. Let c be (7 + -2)*t\/(-2). Solve 4*v + 4 = -4*b - c, -5*b - 2*v - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 211 = -2*n, 5*d = 4*n + 452 - 35. Let v = n + 95. Let o be 67 - -2 - -9*v\/9. Calculate the highest common factor of 44 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (4\/(-8))\/(2\/8). Suppose -1 = 3*z - 2*y - m, 2 = 4*z - 2*y. Suppose -5*g + 10 = -z. Sort g, -6, -2.\nAnswer: -6, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1702176 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46446 - 117961 + 38467 = 12594*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10*x + 8 = -13*x, -5*w + 14 = -x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(y - 5*y + y)*(-442*y - 561*y - 1032*y) to the form m*y + q*y**2 + f and give q.\nAnswer: 6105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h, 3*z - h - 507 = -2*h. Let b be (-1)\/(-8) - z\/520. Put 2\/7, -0.1, -0.12, b in descending order.\nAnswer: 2\/7, -0.1, -0.12, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1272 by -2.\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.58598 + 0.21\nAnswer: 1.79598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002010159606 rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 66, -2, -1 in increasing order.\nAnswer: -2, -1, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose -7*b + v*b = -165. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.679 - 0.069. Let l = j - 0.51. Which is the smallest value? (a) 5\/2 (b) l (c) 3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 50. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + l**2 + 5*l - 5. Let m be y(1). Solve 5*x - 30 = -4*r, -2*x = -0*x - m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**6\/30 - m**5\/25 + m**4\/10 - 26. Factor w(q).\nAnswer: -q**3*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q - 70695 = -5*w + 64*q, 0 = 3*w - q - 42421. What are the prime factors of w?\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38659 is divided by 9446.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 take away 46017.99?\nAnswer: -45969.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 21*n**2 - 12*n + 5. Let m(d) = -d**3 - 20*d**2 + 14*d - 6. What is 5*m(f) + 6*o(f)?\nAnswer: f**3 + 26*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkzip. Give prob of sequence pz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63385202.\nAnswer: 2, 31692601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022 - 1110122?\nAnswer: -1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0561 + -6.\nAnswer: -5.9439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 6*l**2 - 11*l - 4. Let a be b(-3). Find the second derivative of -31*c + 0*c**2 + 23*c**2 - 20*c + 18*c**a + 1 + 38*c**2 wrt c.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4bc0a5 (base 13) to base 2\nAnswer: 110111101110000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 95, 163, 251, 365?\n\"Answer: g**3 + g**2 + 44*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + c + 3*c = 224, -2*a + 85 = -3*c. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78285775 to the nearest integer?\nAnswer: 8848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 5. Let d(o) = -o**3 + 10*o**2 - 8*o - 6. Let x be d(9). Suppose -c = x, -2*g + 2*c - 44 + 6 = 0. Let w = g + 22. Determine u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4832 is divided by 1581.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*(1 + 1). Let c be ((-1)\/(-3))\/((-2)\/12). Sort c, t, 2.\nAnswer: c, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/2 + 4*g**3 + 2*g - 3. Let a = -1 + -11. Let c(b) = b**2. What is a*c(x) + s(x)?\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21095)\/30)\/(2\/(6 + -18)).\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(605)) + ((sqrt(605) + 2)*-6 - sqrt(605)) + (-2 + sqrt(605) + -3 + sqrt(605) + sqrt(605))*3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**3 + 31*n**3 - 59*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4\/4 + u**2\/2 + 37*u + 1. Suppose 69 = 5*v + l, 5*v - 49 = -0*v + 4*l. What is the remainder when s(0) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/360 + m**5\/60 - m**4\/24 + m**3\/18 + m**2. Factor d(z).\nAnswer: -(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/18 and 32\/93591849?\nAnswer: 561551094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 233*m**3*q**2 - 20*m**3 - 3*m**2*q**2 + 3*q wrt q?\nAnswer: 466*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 645?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -24 + 39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1725046614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*((0*s + 4*s - 3*s)*(6*s - 3*s - 2*s) + 0 + 0 - 5*s**2).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7836681 + 5?\nAnswer: 7836686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 times 1.8553?\nAnswer: 3072.3768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(21\/35*4\/(-6)). Put 5, -25, 3, t in ascending order.\nAnswer: -25, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + (1 - 1 - -1). Let n(d) = d**2 + 9*d - 10. Let a be n(c). What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (233*v - 73*v**2 - 233*v)*(3*v**2 - 5*v**2 + 4*v**2) + (2*v**4 - v**4 + v**4)*(-6 - 1 + 1) in the form d*v**4 + x + a*v**2 + y*v**3 + q*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -3*n**4 - 8\/3*n**3 + 0*n**2 + 0*n + 9. Factor h(j).\nAnswer: -4*j**2*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 47. Let j(h) = 8*h - 167. Let f(z) = z**3 + 36*z**2 + 4*z + 173. Let c be f(-36). Let b be j(c). What is the highest common factor of v and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - n**3\/3 + n**2 + 5*n\/3 + 2\/3.\nAnswer: -(n - 2)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -4) + -3 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (0 + -4)*1 + (-103)\/(1133\/(-38786))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7703 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -44*g**3 + 4*g**2 + 6*g + 7. Let b be h(-2). Let q(u) = -33*u. Let r be q(-1). What is the highest common divisor of b and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510 and 412?\nAnswer: 105060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 77. Let s = t - -222. Does 32 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -18\/11 + 2\/11*a**3 + 10\/11*a**2 + 6\/11*a = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 390 - -368. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317 - -162. Let p = o - -154.927. What is p rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - -6*(sqrt(432) + -2)) + 1*(-2 + sqrt(432)))*4)**2 + 2 + 1.\nAnswer: -43008*sqrt(3) + 445507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 279 - 78. Let m = -42861 - -43464. What is the highest common divisor of m and s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20519 - 20467. Calculate the remainder when 1701 is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-19 - 7)) + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46047\/4 or -11512?\nAnswer: -46047\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 5 + 26 - 4220*q + 2)*(9*q**2 + 25 - 25).\nAnswer: -37980*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let r(x) be the first derivative of x**4\/24 + 5*x**2\/2 + 7. Let s(k) be the second derivative of r(k). Calculate s(o(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40\/1683 or 0?\nAnswer: 40\/1683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 + 3115052*f - 90333144 = 0 for f.\nAnswer: 29, 778734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -9. Let k = 187 + -183.08. Let o = q + k. What is o rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69498 divided by 22.\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 37 = 17. Suppose -4*i + 93 = -63. Calculate the remainder when i is divided by s\/2 - (10 - 22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2. Let t(k) = -k**2 + 2*k - 2. Let o(q) = -4265*q**2 - 4*q + 4. Let g(u) = -o(u) - 2*t(u). Calculate g(s(r)).\nAnswer: 17068*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m + 2*y, 2*y - 6 = -3*m + m. Let w(i) = -24*i**3 + 2*i**3 + m*i + 5*i**2 + 10 - 11*i. Let v be w(4). Round v to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*j - 21*j**4 - 42*j + (j - 4*j + 5*j)*(-53 - 3*j**3 + 53).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -1.6, 12.6, -0.4, -0.2, 0.2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599678?\nAnswer: 2, 19, 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 171*b**3 - 2661*b**2 - 5913*b + 8748.\nAnswer: -3*(b - 1)*(b + 4)*(b + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -1, -206 in descending order.\nAnswer: -1, -60, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38260000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 - 8. Let v be t(7). Sort 3, 2, v.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (-5 + -3)) + 41 + 118?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 992?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 394596 and 3141?\nAnswer: 137714004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 3*c**2\/2 - 1. Let s(n) be the third derivative of -n**4\/12 + 9*n**3 + 2*n**2 - n + 1697. Calculate r(s(x)).\nAnswer: -6*x + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490392?\nAnswer: 2, 186299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 20 = 74. Let n be (6216\/623 - 7) + f\/2. Let x be 0\/(2 + (2 - 2)). Do x and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27522 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*q - 81, -2*a + 3*q = 17 - 62. Calculate the lowest common multiple of a and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 66?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(-8*(-15)\/900).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 102730489*q - q**2 - 102730489*q + 102*q**3 + 3.\nAnswer: 102*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 4 = 0. Let t = -2084\/7 - -1110786\/3731. Let n = t - -497\/9594. Are n and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(90)\/sqrt(5) + sqrt(18)*4*3.\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 130*u + 119. Let m(g) = 255*g + 237. Let c(r) = 6*m(r) - 13*w(r). Is 77 a factor of c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*b = -111, -b + 26 + 139 = -4*g. Let m(k) = -154*k + 697. Let h be m(6). Let p = g - h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - -84) + (0 - (1 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*m)*(-15208*m - 3099*m + 1 + 259*m - 1).\nAnswer: 36096*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:06 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53\/93 + -3\/31. Let l(f) = -f**2 - 7*f - 6. Let y be l(-6). Let q be -1 - (-1 + -3 + y). Sort -0.3, q, w in increasing order.\nAnswer: w, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1945*h - 1766. Is a(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12566)\/824*-107*4. What is the greatest common factor of c and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = 2*h - 97986, -5*w = h + 163297. Let p = w + 164217\/5. Let m = -182 + p. Do 0 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 10. Let r be w(6). Suppose -4*m + 5008 = 4*x - 13788, 9403 = r*m - 3*x. What is m rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*-12 + (-22)\/12 - 0\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -95.138. Let y = -0.033 - u. Let g = -1.635 + y. Round g to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let c(h) = -3. Let x be 0\/((6\/4)\/((-9)\/(-6))). Suppose g + 3*v - 85 = x, 5*v = 4*g - 6*g + 171. Let a = -89 + g. Calculate a*c(r) + 2*p(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*r - 104, -t = -2*r - 2 - 38. Suppose 15*j - 11*j - t = 0. Find the third derivative of 19 - j*b**2 + 9*b**4 - 6 - 13 wrt b.\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -57. Is (-2170)\/p*-12 - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -764080393*o**3 + 153439*o**2 + 490*o wrt o?\nAnswer: -4584482358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 5*x**2 - 7*x + 5. What is s(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -29. Let k be (1\/b)\/(-1 - -2). Is k*-4*(-26)\/4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 16*h - 9. Let t be w(-13). Suppose -3*q + t = -5*v + 843, 2*v - 224 = 4*q. What is the greatest common factor of v and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (332\/581)\/(190\/(-35)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 18. Let u = 11 + a. Find the second derivative of 4*i - u*i - i**3 + i + 3*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 23 = -4*m, 34 = 5*m + 5*d - 6. Let c(k) = 20*k**2 - 78*k + 2. List the prime factors of c(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g**(4\/3)*(g\/((g*g**(-2\/3)*g)\/g*g*g*g))**(-23) assuming g is positive.\nAnswer: g**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 8935086.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 5 + 2*r + 3*r. Let z be a(8). Let l = z + -34. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 518841*-0.02\nAnswer: -10376.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.865 + 2.865. Let x(y) = y**2 + 3*y. Let g be x(-2). Which is the smallest value? (a) -0.08 (b) -3\/5 (c) h (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2457?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d**4\/3 + 3*d. Let a(n) = n**2. What is a(k(p))?\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -53*s**6\/30 + 20*s**3\/3 + 7*s. Find the second derivative of g(o) wrt o.\nAnswer: -636*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3231 - -3465. Calculate the highest common factor of o and 1560.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135103?\nAnswer: 167, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(50) - (sqrt(50) + (((sqrt(400)*2)\/sqrt(8))**2 - sqrt(50)))) + sqrt(50) - (sqrt(4050) + 3*sqrt(4050) + 4).\nAnswer: -170*sqrt(2) - 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081331446.\nAnswer: 2, 13, 41589671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 4}. What is prob of sequence cnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6*l - 5. Let d be z(-7). Let c be -1*d*3\/51. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 - 5*t + 38. Determine p(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a)*(21 + 6 - 1) + a + 2 - 2 + (-2*a - a + a)*(2 + 0 + 0) + (-2 + 4 - 4)*(-3*a + 2*a + 3*a) + 5*a - 3*a - a.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -8)\/2 + 2. Let z be 0 - j\/9*-6. Suppose 3*m - 6*m - z*i + 122 = 0, 0 = 2*m - 2*i - 58. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167982 is divided by 241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -1707*v**5\/5 - 345*v**3\/2 + 2*v - 1720. What is the second derivative of n(i) wrt i?\nAnswer: -40968*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 20*l**2 - 423*l + 20. Give p(6).\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 2*p + 3*p)*(8*p - p + 8*p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - b + 73. Let y be m(0). Let h(a) = y + 85 - 7*a - 104 - 8*a. What is the hundreds digit of h(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 24*l + 20*l = -47, s - l - 13 = 0. Which is the closest to s? (a) -0.3 (b) 0.5 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 12. Suppose -i - 25 = -q*f + 4, 0 = -2*f - 5*i - 13. Let d = -120\/131 - -4792\/655. Which is bigger: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13*1*1\/(-1)*-1. Let a(l) = -n*l - 11*l + 22*l - 29*l + 17 + 2*l**2. Let u be a(15). Solve 0*q = u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 16. Let z be k(18). Let m be (0 + 0)\/(4 + -7). Sort z, -1, m in descending order.\nAnswer: z, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 5*t + 46. Let x be z(-10). Which is smaller: x or -5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3037 + 16537. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uei when three letters picked without replacement from gyuiygguugyyugge?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((139230\/(-216))\/(-221))\/((-20)\/64)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-144)\/(-18) + 1). Let p(t) = -t**3 - 8*t**2 - 5*t + 14. What is p(d)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3)*(20\/(-8) + 3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 653 - 1960\/3. Which is the closest to 0.1? (a) 1 (b) -1\/4 (c) 3\/5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - s + 13, 5*p - 3*s = -0*p - 19. Let j be (-970)\/p*1\/2. Suppose 3*f - j = -25. Solve 5*t - z - 21 = -3*z, 0 = 3*t + 5*z - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5, -2479, -5 in decreasing order.\nAnswer: 5, 0, -2, -5, -2479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 193*k + 985. Give o(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let w be a(0). Suppose 4*h + 140 - 20 = w. Let m = -15 - h. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -568 + 1137\/2. Let g(m) = m + 20. Let x be g(-16). Suppose -9 = -2*r - c, 4*c = -4*r + 12 + x. What is the third smallest value in r, 3, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*j, 0*z - 3*z + 2 = 4*j. Let k = -11 + 8. Which is the closest to 0.1? (a) j (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a factor of 5422712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 10. Let q be r(2). Let t be ((-2)\/q)\/(2\/8). Factor 27*n - 6*n**3 - 2*n**4 + 2*n**t + 2*n**5 + 0*n**5 - 23*n.\nAnswer: 2*n*(n - 2)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h**3 + 4*h**2 + 119*h - 122. What is b(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j - 23. Let l(h) = 7*h + 23. Let y(x) = 5*i(x) + 6*l(x). Let b be y(-10). Suppose 4777 = b*m + 14*m. List the prime factors of m.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.6445*-1\nAnswer: -14.6445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 4*d + d + 6*d**2 - 6*d. What is the units digit of q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-6*sqrt(104)*-2)\/(-3*sqrt(18)))\/(sqrt(28)\/(sqrt(84)\/sqrt(3))*-4))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/30*(-160)\/96?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 7*v. Suppose 0 = -w - 2*w - 12. Let b(y) = 2*y + 37*y - 79*y**2 - 32*y + 74*y**2. Determine w*h(z) - 3*b(z).\nAnswer: -z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 37*l**5\/20 - l**4\/4 + 5*l**3\/6 - 3*l**2\/2 + 4*l + 89. What is z(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10392 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(13\/4)\/t)\/t)\/(t*t\/t**(-3\/2)))\/((t\/(t*((t\/(t*t*t*t**30\/t*t*t*t*t))\/t*t)\/t)*t)\/t*t*t**(-3)) assuming t is positive.\nAnswer: t**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084695266 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0.3, -0.4, -1\/6, 3\/8, 75\/17, -3\/14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 46*i - 23*i - 19*i**2 + 69*i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101100001001001010101011?\nAnswer: 101100001001001010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: f40e1 (base 16) to base 13\nAnswer: 290011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*t - 6. Let a = -3 - t. What is the least common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3. Let k be b(-1). Solve -k*o - 5 = -13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1821600 and -31\/14400?\nAnswer: 3643200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -2, 1\/2, -1\/4 in descending order.\nAnswer: 1\/2, -2\/17, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**8\/13440 - w**7\/1120 + w**6\/320 + 26*w**3\/3 - 15*w**2. Let r(c) be the first derivative of k(c). What is q in r(q) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296411280 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.445 take away -0.43?\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((8 - -7) + -5)\/(3 - 1). Which is bigger: r or 68\/15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2021 - -2025. Which is the nearest to 1? (a) 166 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o - 13. Let w be c(9). Suppose 5*y = 5 + w. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1716368 and 0.016?\nAnswer: -27461.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/(-3) - 19) + -58?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 7\/5 (c) 0 (d) -6\/5 (e) -1\/4 (f) -6\/227\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -56.365.\nAnswer: -56.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -730613, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b0 + -21?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u**2. Let a(i) = 5*i + 0*i + 0*i - 11*i - 2*i. Determine a(n(b)).\nAnswer: -104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {x: 2, i: 12, s: 3}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -n + 558 - 562, -5*a = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/(-4)*226*(-35)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from exxxtmemxte.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*z - 2*h - 10 = 204*z, -5*z = -6*h + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -23*u - 21. Let l(m) = 8*m + 7. Give -17*l(f) - 6*r(f).\nAnswer: 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**3 - 5*s**3 - 2*s**5)*(-1468 - 1029 + 23 + 404).\nAnswer: 4140*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Let d(u) = -u**3 + 4*u + 3. Let o(l) = l**2. Let c(j) = b*o(j) - d(j). Suppose 3*k + 2*k + 15 = 0. Determine c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6791\/8 - -847. Let g = l + 21\/8. Solve -7\/4*j**4 + 1\/2*j - 3\/4*j**5 + 0 + 3\/4*j**2 - g*j**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w. Let v(i) = -654*i**2 - 30*i - 2. Calculate v(b(o)).\nAnswer: -65400*o**2 + 300*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3915 and 2730060?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-7) - 104\/(-56). Let h be 1\/(-2*s\/44). Let l = 36 + h. Calculate the highest common factor of l and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c - 4. Let b be a(1). Suppose -4240000 = -2*u - b*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = -9. Let m be (-6 - -8)\/((-2)\/b). Suppose 2*v - 5*l - 166 = -4*l, -m*v + 2*l + 249 = 0. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence redk when four letters picked without replacement from {l: 1, d: 1, x: 1, e: 2, k: 1, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35220.\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-3)\/6)*0. Let q be -3 + 5 - (-1 - k). Solve -2*o + q*o - 7 = -j, -5*o = -3*j - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 - 140. Which is the closest to 1? (a) 2\/11 (b) 3 (c) s (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699688487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 8. Let g be k(11). Let b be (0\/3)\/(0 - 1). Let d = g - b. Let r(h) = h**2 - 3. Let l(x) = x**2 - 2. Give d*l(t) + 2*r(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -3212?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**3 - 5*t**2 - 5*t + 4. Let w(n) = 15*n**3 + 11*n**2 + 11*n - 8. Let k(r) = -13*i(r) - 6*w(r). Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 5, -0.092, 1, -0.03, -7\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70)*1)\/((sqrt(120)*2)\/sqrt(12)) + 4*(-2 + sqrt(343) + 2 - sqrt(343)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2504260.4 to the nearest 1000.\nAnswer: 2504000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 24 + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from voonoovoi?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. Let f = 0.1 - y. Suppose j - 3 = -2*q, -39*j = q - 36*j + 1. What is the closest to q in 0.5, 0, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + a + m + 43 = 0, -4*a - 2*m = 8. Put a, -43, 19, -4 in descending order.\nAnswer: 19, a, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*i*l*r + 5*d**3*i + 52*d**3*l**2*r + 3*d**3*l**2 + 2*d**3 + i*l**2 - 3*l wrt l.\nAnswer: 104*d**3*r + 6*d**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113486*h**4 + 16391 - 107108*h**4 + 2*h - 5664 + 2*h**2 wrt h.\nAnswer: 76536*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4\/3)*p)*p)\/(p\/p**(4\/27)*p) assuming p is positive.\nAnswer: p**(13\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - 1 + 1)*(10*f**2 - 2*f**2 + 3*f**2) to the form y*f**3 + u*f**4 + r + k*f + d*f**2 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21981367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.3887341 and -0.05?\nAnswer: 4.4387341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -120, -150, -168?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3735*x - 74101 = 74679 + 41705 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16040*k + 32*k**2 - 16040*k + 98*k**2 + 31*k**2.\nAnswer: 161*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 15, a: 2, z: 3}. What is prob of sequence qqa?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:18 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5740 + -423. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462 + 2312\/5. What is the fourth smallest value in 164, o, 1, -3?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-3 - -12 - 8)) + 59 + -13\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35721 and 23814.\nAnswer: 71442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*i + 45, 3*i + 5*u - 37 = u. Suppose -h = -4, -4*h + i = -y - 1. What is the smallest common multiple of y\/(-18) + 392\/63 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13755 + 13899. What is the greatest common factor of 208 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*g**3*q*v - 958*g**3*v - g**2*v**2 - g*v**2 + 10*g - 1294*q*v**2 wrt q.\nAnswer: 15*g**3*v - 1294*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**8\/1680 + a**5\/120 - 2*a**3\/3 + 1. Let r(o) be the third derivative of c(o). Find the second derivative of r(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rusr when four letters picked without replacement from {u: 4, s: 5, d: 5, r: 6}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0209 times -0.02?\nAnswer: 0.000418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:01 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 13 = -12. Let n be (f - (-5 - -5))*-21. Find the first derivative of -19*l + 3*l - 8*l - n + l wrt l.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15064, -1\/34, -0.4 in decreasing order.\nAnswer: 15064, -1\/34, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -52 + 87. Let m(s) be the third derivative of q*s**2 + 0 - 1\/20*s**5 + 0*s + 1\/40*s**6 + 1\/2*s**3 - 1\/8*s**4. What is o in m(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -26*b + 988. Solve t + 2*t = -4*m + b, -21 = -5*m + 2*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53731.\nAnswer: 53731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 5, -2\/29, -60, -2\/7?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -103?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -186150*p + 744629. Calculate m(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:16 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/988*(-48)\/(-4). Let y = 1018\/1235 + b. Let 0 - y*k**3 + 0*k - k**4 + 3\/5*k**2 + 2\/5*k**5 = 0. Calculate k.\nAnswer: -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260 = -2*p - 3*u - 1285, -25 = p + 4*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 7*f + 12. Let c be z(-5). What is the second derivative of -5 + 7*l + 2*l - 1 + 2*l - 139*l**c + 0*l wrt l?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/15 - u**5\/60 - u**4\/12 + u**3\/2 + 4*u**2. What is the remainder when q(2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30697 + -1d?\nAnswer: -306b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*v - 25*v = 208 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*w = -802*w + 72 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-121)*(-135)\/45.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 + 2*i**2 + 4*i - 5. Let a(v) = 2*v**2 + 2*v. Let x be a(-2). Suppose 4*h - 16 = x. Determine f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512.945 nanometers in millimeters?\nAnswer: 0.001512945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10001211212101?\nAnswer: 10001211212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368490769?\nAnswer: 19, 31, 625621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -6. Let j = 23 + -13. Let q = j + w. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6049 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-10)\/25 + 0). List the prime factors of (-12 - -6)*(o - (-46)\/(-12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103111153 rounded to the nearest one hundred thousand?\nAnswer: 103100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 5*q + 10 = 0. Suppose -w - 10 = w - 4*r, 2 = w + q*r. What is the lowest common multiple of ((-10)\/6 + (-2 - -2))*w and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*v + 2*n, -v - 15 = -4*v - 3*n. Let t = -15 + 43. Suppose -v*m + t = 1. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:40 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1131\/(-26) + 30 + 21. Find m, given that 6*m + t - 3\/2*m**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16853?\nAnswer: 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + -4 - -4 - (-6391)\/1267. Are 1 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314543 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -71. Suppose 0 = 11*k - o - 40. Solve k*l + f = -9, -2*l + f = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*m + 11*m. What is the first derivative of -10*c - 14*c**2 - 42 + 24*c - 14*c - c**m wrt c?\nAnswer: -4*c**3 - 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -11.58. Let p = -0.12 + t. Which is the closest to 1? (a) 0.1 (b) p (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 + 51 = 526*d - 523*d for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/18 + (-28)\/(-126). Is n*3\/18*-1293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*l = 136, -j + 5*l + 34 = -0*l. What is the least common multiple of 54 and j?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -3*f + 5, -f + 4 = r. Let o(j) = j**2 - 9*j + 4. Let w be o(9). Suppose w*l - 2 = -i - 14, -12 = f*i + 5*l. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 1, o: 1, p: 3, v: 2}. What is prob of picking 1 o and 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220 + 242. Suppose -35 - 88 = -3*x. What is the remainder when x is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o + 6*o + 3*o - 5*o. Suppose -t = 4*l - 19, -5*t - 19 = -3*l + 4*l. Let f(x) = 4*x + 0*x + 4*x - l*x. Determine f(u(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 + 131. Suppose 0*z + 65 = z. Let g = z + -197\/3. Which is the closest to g? (a) 0 (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -20 + -83 + (121 - 59 - 68)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (256\/(-24))\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210246 is divided by 937.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l - 10. Let m = -17 - -9. Let o be d(m). Is o\/8 + 1194\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 + 28472*m**3 + 56996*m**2 - 256248*m - 512640 = 0?\nAnswer: -3, -2, 3, 7120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -836*a**2 + 417*a**2 + 982*a + 417*a**2 in the form x + d*a**2 + n*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 21*f**3 + 632227140*f**2 + 4758466239753633*f + 1359561731176374 = 0.\nAnswer: -15053027, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 13) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let q(o) = -509 + 87*o**2 + 509. What is q(t(i))?\nAnswer: 348*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncc when three letters picked without replacement from {u: 6, t: 2, c: 2, n: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*b + 4*g - 7419, b = -5*g + 1876. Let u = 20335\/11 - b. What is the common denominator of u and 121\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 18*s = 22. Suppose 5*u + s = 6*u. Let l(a) = -45 + u - 6*a + 17 - a**2. Calculate l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkqshahhqesqqhk. What is prob of sequence qh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 3, n: 1}. What is prob of picking 2 x and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4787*b**2 - 213*b - 1?\nAnswer: -9574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2204\/(-342)*28\/16*(45\/(-21) + 3).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*g = -13, 12 = 4*t + 2*g - 6*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + 4. Let r = -5 + 5.2. What is the nearest to 0.1 in r, -3\/2, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*m - 74, -2 = -f - 5*m + 5. Let t be 3 + -1 + 2 + f. Is -15 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3, -5*y - 14*y - 79 = 50*k - 48*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -33.2. Let j = -145 + 114.1. Let n = x - j. Which is the third smallest value? (a) -0.3 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13535 * 0.1\nAnswer: 0.013535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709007217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -36. Suppose -j = -5*f + 13. Suppose s - f*s = -125. Calculate the highest common factor of s and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67\/4 + 17. Let x = -69\/245 + 4\/49. What is the third smallest value in r, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) + (-1)\/(-2). Let t = 0.19094 - 18.19094. Which is the biggest value? (a) t (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3935, -3472, -3009?\n\"Answer: 463*o - 4398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 750163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*g + 288*g - 232*g.\nAnswer: -189*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - -1 - (18 - (0 - -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 8. Calculate the remainder when (-7 - -4)\/3 + 27 is divided by i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 1 + 1)*(6737 + 4417 - 2804 + 3708) to the form d + m*h and give m.\nAnswer: -12058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**7\/945 - d**5\/270 - 1427*d**2 - d - 1. Solve k(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9979 + 9982. Solve -r*z - o = 17, -4*z + 3 = -z - 3*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*f + 4*f = 18, 4 = -3*z + 2*f. Suppose -12 = z*i - 14, 2*i + 895 = 3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5 and -37\/3195970.\nAnswer: 3195970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 + 225. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217101447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa (base 11) to base 13.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/2 - 3*w**3 + 5*w**2\/2 + 2*w + 15. Let d be o(-5). Suppose d*g - 150 = 478. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 26*v**2 + 1936416*v - 1936440 = 0. What is v?\nAnswer: -978, 1, 990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352663897 - 352662112.98823. Let f = -1784 + v. What is f rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*h + 97*h = 253. Suppose 0 = -3*b - 2*y - 7, 0*b - 4*b - y - 1 = 0. Suppose 5*n - h = -b. Solve -4*w - x - 7 = -20, -n*x = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 2\/41, 9, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 42, 77, 116, 159, 206?\n\"Answer: 2*d**2 + 25*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 445, 972, 1699, 2620, 3729?\nAnswer: 5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20675937, -41351883, -62027829, -82703775?\n\"Answer: -20675946*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 3, k: 7}. What is prob of picking 3 w and 1 k?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -64106031?\nAnswer: 64106023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 48*a**2 + 89*a + 19. Let x be g(47). Suppose -4*t - 5*b + x = 0, t - 6*t - b = -7998. List the prime factors of t.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4257, 0, 49, 4, -1\/6, -3 in decreasing order.\nAnswer: 49, 4, 0, -1\/6, -3, -4257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = 12, -4*n + 2*o - 8 = 0. Calculate the remainder when (-47)\/(-4) - n - 6\/8 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13376 - -40860. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2057) - (-2*sqrt(2057) - sqrt(2057))**2).\nAnswer: -18513 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and 51\/1576.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/4 + q**3\/3 + 121*q**2. Let j(u) = 7*u + 3. Give -6*b(r) + 5*j(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-268*z**2 + 131*z**2 + 140*z**4 + 137*z**2)*(1 - 1 + 4*z).\nAnswer: 560*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8 - 0, h - i - 8 = 0. Let a(f) = -4*f - 4*f + 6*f + h - 5. Calculate a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:52 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -2*s, 3*s + 2*v - 7 = 7. Suppose -3*b + s*w + 21 = 4, -4*b + 4*w = -24. Solve y + 21 - b = 3*m, 2*m - 4 = -y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5072697 (base 10) in base 9?\nAnswer: 10481380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143 - 1913.\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*n**2 - 18*n**2 - 32 + 12*n**3 - 35*n**2 - 99 - 11*n**3 wrt n?\nAnswer: 3*n**2 - 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1503101.1 to the nearest one thousand.\nAnswer: 1503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7274045 nanometers in kilometers?\nAnswer: 0.0000000000007274045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/176*-321852 - (12\/(-8) - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 70 + 262. Let b = -32 - r. Suppose 0*g = g - b. Calculate the highest common divisor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 3*i**2 - i + 4. Let x be m(3). Suppose 0 = 8*v - 15*v + 7*v + 11*v. Solve -q - x = -v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5523.\nAnswer: 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 14*p = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2490430 and 2180?\nAnswer: 542913740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2) - (10 + -10). Let l = 1.5 + -1. What is the closest to -0.1 in 2\/19, g, l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqui. Give prob of picking 1 i, 1 u, and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 665131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 - k**2)*(-3 - 3 + 5).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 271*u\/5 - 126\/5 = 0. What is u?\nAnswer: -14, 9\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 0.06?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, -5, -0.03, -2.4, 18?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -0*l. Put -4, l, -7 in decreasing order.\nAnswer: l, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-29)\/(p*(p**0*p)\/p*p)**(13\/6) assuming p is positive.\nAnswer: p**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 481456725078.\nAnswer: 481456725071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-4) + 20\/6. Let q be (2 + 1)*(-2 + 1). What is the nearest to x in q, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 11784*c - 208293984.\nAnswer: -(c + 35352)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-224)\/120)\/1 + (12 - 10). Let s(n) be the second derivative of 0 + 39*n + 1\/60*n**4 + q*n**3 - 1\/2*n**2. What is l in s(l) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + s + 688, 593 = 2*n + 2*s - 101. Let k be 10*12\/n*-2. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p - 139*p + 15*p - 79*p.\nAnswer: -223*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**5*t + 1000*j**3*t**2 - 4*j**2 - 201*t**2 wrt j.\nAnswer: 240*j**2*t + 6000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 + 2*o + 12. Let k be z(-7). Let x = k + 775. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1276 - 0?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 391 or 4.8?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00160466839 rounded to 6 dps?\nAnswer: 0.001605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5293 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 71. Let z = t - 22. What is the units digit of (-6)\/4*z\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 0.9. What is the third biggest value in -0.2, -1\/3, u, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 895*c**2*t - c**2*u**2 - 320*c**2 + 9*c*t*u**2 + 382*c*u**2 + 375*t*u wrt c?\nAnswer: 1790*t - 2*u**2 - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Let g be 164\/(-159)*4\/20. Let i = g + 18\/53. Which is the closest to -0.1? (a) w (b) i (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 82*a**3 - 85*a**3 + 58 + 454.\nAnswer: -3*a**3 + 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 185*z**2 + 7590*z - 3218. What is t(124)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9017.878 to the nearest one hundred.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 2*q)*(-183 + 183 + 62*q) - 6*q**2 - 8*q**2 + 15*q**2.\nAnswer: 125*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*d - 1. Let m(g) = -2*g**3 + 17*g**2 + 126*g + 69. Calculate the remainder when m(13) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7793687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9861 by 1.\nAnswer: 9861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580894 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21*f - 299 = -26, -f - 13 = -5*v. Solve v - 5*p**3 + 5*p**5 - 10\/3*p**4 + 10\/3*p**2 + 0*p = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*d + 330 = -472*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/7 (b) -0.3 (c) 25 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + 7\/(-49)*-7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -23686?\nAnswer: 23685.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8431 - 8365. Solve -54*s - 96 = -x*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*(13886\/(-4323))\/(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 69. Let y = f - 23. What is the greatest common factor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -31. Let j(l) = l**2 - 11*l - 12. Let n be j(9). Let v = s + n. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, k: 3, b: 1, g: 1}. Give prob of sequence btkg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -11, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 6*g**2 + g + 1. Let u be o(-6). Let z be 20\/208 - 2\/(-13). Let w = -47 + 801\/17. Which is the nearest to -1? (a) u (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -7\/6 (c) 4 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624\/520*(-5)\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 306737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -51, -98, -163, -246?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 148228760 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 - 5 + 2)*(72*h**2 + 146*h**2 - 701*h**2).\nAnswer: 5796*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4 + 29. Suppose -a - 4*a - t = 0. Let j(h) = 1 + 3*h + 2 - 4*h. Give j(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2268 + -2242. What is the remainder when 334 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7\/2 (b) 3 (c) -1\/2 (d) 1 (e) -314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4419189 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -3)*2\/(-5). Let y(o) = o**3 - 2*o**2 + 2*o - 2. Let c be y(b). Solve 2*g - 4 = -c*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.6. Let d = 21 - 26. Sort d, o, 5, 4.\nAnswer: d, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 9:36 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 0.055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x\/(x*x*x\/(x**(-1)\/x)))**(-4)*x**(-1)\/((x*x**0)\/x))**21)**(-23) assuming x is positive.\nAnswer: x**(-1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125074*i**4 + i**3 + 3*i**2 - 295*i + 109588 wrt i.\nAnswer: -1500888*i**2 + 6*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*t + t - 8, 4*a = 5*t - 36. Suppose -g + t = 2. Suppose 2*v - 48 = -g*u + 18, -5*u = 2*v - 63. What is the greatest common factor of 51 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 + 431. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 21*w**2 + 4*w**3 - 2*w - 54*w**2 - 3*w**3 + 325*w**2 to the form m*w**2 + v*w**3 + u + b*w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2933*4\/(-6). Let n = 442895\/17598 + b. Calculate the common denominator of ((-31)\/(-248))\/(10\/616) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -42. Solve 4*a - 5 = s*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*p**3 - 24*p**3 + 14*p**3)*(2*p - 3*p - 6*p + (-3*p + 0*p + 2*p)*(-7 + 3 + 0)) as f*p**4 + w*p**2 + r*p**3 + m + q*p and give f.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)\/(-14 + 8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, k: 1, f: 4, d: 8}. Give prob of picking 1 f, 1 d, and 2 o.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*z + z**2 - 78*z**3 - 18*z - 32 - 14*z wrt z.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2292 - 10*p**3 + 2377 + 8*p**3 + 2*p**2 + (2*p + 3 - 3)*(1 - 1 - p**2) + 0 + 0 - 2*p**3.\nAnswer: -6*p**3 + 2*p**2 + 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 8. Let a be w(6). Let h(t) = t**2 + t + 5. Suppose -2*z = -z. Let k be h(z). Solve a - 3 = 2*y + v, -k*v = y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363.052 + 361. Let w = 0.052 + n. Let b = 0.1 - -0.2. Put w, -3, b in decreasing order.\nAnswer: b, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y**3\/2 + 6813*y**2\/4 + 6159*y\/2 - 738 = 0. What is y?\nAnswer: -2, 3\/14, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {w: 3, m: 1, d: 1, j: 1, z: 12, n: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165578237 to the power of 1\/2, to the nearest integer?\nAnswer: 12868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -2.0787828?\nAnswer: 0.166302624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 4\/9, -0.1, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -3. Let d = g - -7. What is the nearest to 1 in d, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115323855 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 2*b - 18. Let s be x(-4). Suppose 1488 = s*l - 16*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s - 7. Suppose -4*q - 16 = -4. Let u be v(q). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2144 - -1.4\nAnswer: 1.1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/42)\/(1\/2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1375 and 798912.8292.\nAnswer: 800287.8292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2 - 323*j + 1902 = 0.\nAnswer: 6, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 5, r: 2}. Give prob of picking 2 y and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -59, -138, -265, -452, -711, -1054?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1051, -5, -10, 5.\nAnswer: -10, -5, 5, 1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13684*o**3*y**3*z + 234763*o**3*y**3 wrt z?\nAnswer: -13684*o**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:04 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -85, 3754, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443 + 439. Let k(y) = y**2 - y - 3. Let w be k(g). Solve 4*a - w = -1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -233 - -233.16. Which is the closest to 0? (a) 1\/8 (b) -1 (c) o (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/367, 7\/2, -0.2, 2 in ascending order.\nAnswer: -0.2, 1\/367, 2, 3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 8.5. Let m = -16.5 + n. Suppose 63210*x = 63213*x - 6. Which is the nearest to -1\/6? (a) x (b) m (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**2 - 6*b - 3. Let n(m) = -19*m**2 + 12*m + 7. Let p(y) = -13*k(y) - 6*n(y). Factor p(v).\nAnswer: -3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 + 918 = -6*y. Let w = 389 + y. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s - 5*y + 13 = 0, 3*y = -2*s - 13. Let k = -8 - s. Round k to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 16)*(2*f + 0*f + 0*f + 2*f - f + f + (f - 2*f + 3*f)*(3 + 2 - 4) - f - 3*f + 2*f - 3*f - f + 3*f).\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, z: 1, b: 3, i: 1}. Give prob of picking 1 i and 1 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -32, 0, 8 in descending order.\nAnswer: 8, 4, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -2)*(-15)\/(-6). Let t = -2 - y. Let j be ((-4)\/t + 0)*-1. What is the biggest value in j, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 11, e: 1, u: 2, d: 1, s: 1}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opoooppppopppopooo. Give prob of sequence oopp.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 27. Let p(h) = 13*h - 109. Let f(b) = 2*p(b) + 9*w(b). What is the tens digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 8. Let i be x(6). Let j(r) be the second derivative of 1\/6*r**3 + 0 - 2*r + 1\/2*r**i. What is the derivative of j(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (809*h - 809*h + 89*h**3)*(5 + 6 - 6).\nAnswer: 445*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:59 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 36 + -32 + 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 49*u**2 + 94*u + 7475. Calculate q(43).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3206534 and -1\/3206534.\nAnswer: 3206534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 452 - 456. Suppose -t = t + 2*x, -2*x = 3*t + 2. Put t, 0, h, 1 in increasing order.\nAnswer: h, t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17488?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 884*n**2\/3 - 23078*n\/3 + 127024\/3.\nAnswer: 2*(n - 17)*(n - 8)*(n + 467)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 - 100 + 41)*(-4*c + c + 2*c) as o*c + b and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:56 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(-1)*-35\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (6 - 15)) + (0 - 0 - -28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -35035 (b) -0.3 (c) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3. Let s = 117 - 114. Suppose -5*i - s = 37. Let a(z) = -3*z - 9. Calculate i*v(c) + 3*a(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 1*sqrt(5000) + 5 + 5*(-1 + sqrt(800)))*1.\nAnswer: 15 + 750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -2\/159 (c) -0.4 (d) -0.2 (e) 1.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 31 = 2*n, 0 = 3*n - 6*w + w - 57. Let o be 2\/(-3)*(-6)\/n. Let k = 12 - 15. Which is the closest to o? (a) 0 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 + 0*x**3 - 2*x**3 + (3*x - 3*x**2 - 2*x**2 - x)*(x + 2*x + 0*x) to z*x**3 + h*x + w + r*x**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -5*a. Suppose 0 = -5*r + a*r + 12. Let f = r + 1. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 2.3. Let y = -0.2 + 0.4. Which is the second smallest value? (a) 0.5 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/17424 and -131\/243936?\nAnswer: 243936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**7\/12600 - 7*m**6\/3600 + m**5\/75 - 2*m**4 - m**3\/3 - 2*m - 11. Let q(g) be the third derivative of w(g). Factor q(z).\nAnswer: -(z - 1)*(z + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 - 2877190*l**2 = 0. What is l?\nAnswer: -575438, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/20 - 52*z**2 - z. Let d(t) = -3*t**2 + 11*t. Calculate u(d(l)).\nAnswer: -27*l**4 + 198*l**3 - 363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011031 (base 6) to base 15.\nAnswer: -1d17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t\/((t\/((t\/(t**(-1\/10)*t))\/t))\/t))\/((t\/(t\/(t*t**(2\/9)\/t*t)))\/(t\/((t**2\/t)\/t*t))) assuming t is positive.\nAnswer: t**(-551\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5500 divided by 3\nAnswer: -5500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50315012*l**3 + 50315014*l**3 + 0 + 0.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.9593717 + 0.7306?\nAnswer: 68.6899717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a century?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t + 50. Let i = -7 - t. Suppose b - i*b = -18. What is the smallest common multiple of 3 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 8. Suppose b = m - 7. Solve 3*q + m = -1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-6)*(-12)\/(-8). Let v be 3\/92 + k\/(-44). Let d = v + 2\/115. Which is the third smallest value? (a) -2 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 370.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6956.6 - -6957. Suppose 0 = 3*r + 5*h - 10, 0 = 4*r + 2*h - 7*h + 10. What is the closest to r in -1\/4, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173506, 173611, 173716, 173821, 173926?\nAnswer: 174031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3921 + -67194991?\nAnswer: -67194991.3921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00255724 rounded to five dps?\nAnswer: 0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -17. Suppose -4*c + 15 + 17 = j. Suppose 3*s - 2*s - 18 = 0. What is the least common multiple of s and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*a + 750, 714 = 3*a + 14*p - 13*p. Calculate the lowest common multiple of 360 and a.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 20. Let c be (-4)\/1*w\/12. Suppose 2*v = v + c. Which is greater: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68808 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56120737 rounded to the nearest 10000?\nAnswer: 56120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.084 + 0.78. What is v rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.004. Let q = -0.424 - c. What is q rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, -4810 in descending order.\nAnswer: 21, -1, -4810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5737 + -3778. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110692707 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255 = 12*n + 221. Which is bigger: n or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 6*v)*(0*v**3 - 3*v**3 + 5*v**3) + (4 - 1 - 4)*(2*v**2 + 2*v**4 - 2*v**2) + (2*v**4 + 4*v**4 - 4*v**4)*(-394 + 262 + 601).\nAnswer: 924*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5 and -23\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/7 (b) 0.8 (c) 0 (d) -2\/3 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -2638, 5, 4 in decreasing order.\nAnswer: 9, 5, 4, -3, -2638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - 3*w**2 + 3*w**2)*(2*w + 11*w + 0*w) - w**3 - 4*w**3 + 2*w**3 to n*w**2 + m + a*w**3 + v*w and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Let w(y) = -3*y + 2*y - 3555 + 3555. Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-8)\/12) + 1495\/3?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*y**3 + 3*y**2 + 2*y - 2247 wrt y?\nAnswer: -39*y**2 + 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Let m(k) = 6 + 2*k + t*k + 0. Let g(h) = 4*h + 5. Calculate 7*g(j) - 6*m(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let z(c) = c**3 - c**2 - 2*c + 3. Let a be z(2). Sort a, r, -4 in decreasing order.\nAnswer: a, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 180624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from ddndddoqossqdosoo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 - 4*i - 6. Let w be l(6). Let f = -4 + w. Suppose 5*x - j - 2*j - 15 = 0, x - f*j = 10. Solve x = 3*d - 14 + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137262370*w**3 - 274524745*w**3 + 137262421*w**3 + 8*w**2.\nAnswer: 46*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3200 by 100.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + v - 7236, -2*v + 7239 = -2*l + 3*l. Let p be 5\/30*2*l. Suppose -p = -m + 9452. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -23 (c) 1\/10 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15142292 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2934.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 + 44039*c**2\/6 + 22019*c\/3.\nAnswer: c*(c + 1)*(c + 44038)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 24*h - 5042. What is w(84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:45 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2 + 8*o**2 + 11*o**2 + 2*o + 4*o**2 - 15*o**2. Let s be f(-1). Solve -i = 5*x + 12 + 7, -s*x + 8 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + r)*(r + 9*r - 3*r)*(-11 - r + 11) - r**3 - 2 + 2 to the form b*r**2 + c*r + u*r**3 + a and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487653 is divided by 121911.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 13*w = 12*w + 342 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/13)\/(2\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:23 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2945298 plus 0.09?\nAnswer: -2945297.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0*b**2 - 4*b + 0 - 1\/6*b**3. What is p(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 145. Let a = -35 + l. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v + 22. Suppose -3*i - 5*a - 15 = -2*i, a + 29 = 5*i. Let o be y(i). Let z = 107 + o. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3709*b - 417. What is the units digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -13512.53 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1979629*y**3 - 128519*y + 2?\nAnswer: -11877774*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 1. Let l = -13 - -29. Let p(m) = 3*m**2 - l + 0*m**2 + 19. Determine -2*n(h) - p(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.070772 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 0.2, -303?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 467. Let y be j(-58). Solve -y*b = -46 + 61 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123\/207122 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48968776.\nAnswer: 2, 19, 113, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.99318ug?\nAnswer: 0.00000000000599318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/3 + 94*c**2\/3 = 0. What is c?\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose -3*h = -5*w + 252, 6*h - u*h = 3*w - 156. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4719 (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5009.39 and 41?\nAnswer: 205384.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 4*sqrt(78))*6)\/sqrt(6) + ((sqrt(1300)*-2 + sqrt(1300) + sqrt(1300))*-3)**2.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22636*d**3*i**2 + 8*d**3*i + 42*d**3 - d**2*i**2 + 4*d**2 + d + 5386717 wrt d?\nAnswer: 135816*i**2 + 48*i + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1101595466208 - 96.\nAnswer: -95.8898404533792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 5. Let l = -10 + 5. Let b be x(l). Let j(y) = 4*y - b*y - 4*y. Let s(d) = -2*d. Calculate j(s(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*z + 167*z - 115 = -238*z + 659. Let k be (-1)\/4 - 9\/(-4). Solve -z*u + k*u = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 1\/12*v**4 + 0*v - 1\/60*v**5 - 1\/3*v**3 + 2 + 0*v**2. Let c(r) be the third derivative of u(r). Differentiate c(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2767\/67 + 507895\/12462. Find the common denominator of i and 23\/279.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*v + 43*v + 74 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let t(u) be the first derivative of -3*u**2 + 4*u**2 - 1 - 2 + 4. Calculate t(a(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145940 and 116752.\nAnswer: 583760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbbbhbmh. Give prob of sequence bmhm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 11, -20, 37.\nAnswer: -20, -5, -4, 11, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -135. Is 29 a factor of (-29)\/(4\/56*t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33896.16 to the nearest 100.\nAnswer: -33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117708393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -42, 4\/7, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - f**3 + 2*f - f + 2 + 0*f**3 - 5. What are the prime factors of v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35002831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2. Let y(p) be the third derivative of -p**7\/504 - 11*p**5\/60 - 2*p**2. Let v(q) be the third derivative of y(q). Give x(v(z)).\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -248*z + 240*z + 2728. Solve 45 = 332*u - z*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -63, -95, -127, -159?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.2 - 62. Let t = -0.2 + -2.8. Let x = 2 - t. What is the nearest to 2 in -3, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.096 and -0.08.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*r**3 - 231*r**3 - 5371 + 5371 + 464*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -17, -11, 7, 413 in decreasing order.\nAnswer: 413, 15, 7, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -35\/4*r**4 - 80\/3*r**3 + 0*r + 23 - 10*r**2. Let m(c) = 0. What is c?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1516*g + 119424 = 972*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 243941*w. Let k(g) = -438*g**2. Calculate k(l(t)).\nAnswer: -26064158628678*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59289\/4 - 14822. What is the second biggest value in m, -2\/11, 35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 4*h + h)*(-1 + 5 - 3) + (0 + 0 + 1)*(-2*h + h + 0*h) - 1 - h + 1 - 3493*h - 9759 + 9759 in the form b*h + d and give b.\nAnswer: -3496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w - 13. Let u be n(0). Let m = u - -49. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*i**3 - 19 - 100 - 1370*i**3 + 788*i**3.\nAnswer: 6*i**3 - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 219 and 4818?\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k - 20. What is the third biggest value in k, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -5. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -20*o + 66*o + 225 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + p - 1)*(-28 + 8 - 6)*(5*p - 2*p - 4*p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 3) in base 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4 = -5*m, -63*m + 20 = -67*m - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1, -4, 0 in increasing order.\nAnswer: -4, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/3 + 4\/6. Let s(o) = o - 2. Let z be s(g). Suppose -z*w + 7 + 21 = 0. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:17 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 11*m + 21. Let k be b(-3). Suppose 5*o - 21 = 3*i, 3*o + 1 = -2*i + k. Let r = -3 - -10. Solve -3*x - r = -u, 3*u + 0 = o*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(7))*3 - sqrt(21)\/sqrt(3)*-2)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -451.7 + -26.3. Let y = s + 480. Which is the closest to -2? (a) 1 (b) y (c) -3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 28 = 4*m + 32, 7*x - 3 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41156*a**3 - 2*a**4 - 141*a**2 + 548*a**2 + 41155*a**3 to the form g*a**3 + p*a + s*a**4 + j + i*a**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-260)\/(-25) + -11)*645*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/264 (b) -0.4 (c) 9\/29 (d) 521 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -706 (base 8) to base 16.\nAnswer: -1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -80, 1\/5, -249, -3?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120433131 + 13231?\nAnswer: -120414400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)*y)\/(y\/(y**(-1\/5)*y))*y**2\/((y*y\/y**(-7))\/y)*(y*y*y\/(y**7*y*y))\/y**(3\/5)*y**(-6)\/y*y**(2\/5)\/y assuming y is positive.\nAnswer: y**(-1271\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4651?\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/10 + l**4\/4 - l**3\/2 - l**2\/2 + 5*l. What is t(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 20786696*h + 108021682649104.\nAnswer: (h + 10393348)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 20. Let l(w) = w**2 - 25*w + 86. Is 14 a factor of l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 21 - 21)*(1 + 2 - 2).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 4*t**2 + 8211 - 8203.\nAnswer: -7*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171019546.\nAnswer: 2, 71, 1204363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -58b?\nAnswer: -58d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + -15. Let q = a - -87.7. What is q rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 3*n**4\/4 + 4*n**3\/3 - 5*n**2\/2 + 8*n + 102. List the prime factors of q(3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1391 - -2806. List the prime factors of i.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*l**3 + 29*l**3 + 29*l**3 + 17*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7060)\/(-9178) - (-320)\/(-104).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -14329?\nAnswer: -14328.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41289309 to the power of 1\/2, to the nearest integer?\nAnswer: 6426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:14 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-949)\/(-65) + (-136)\/(-40). Solve -7*n + 10 = -9*n - 4*i, 0 = 6*i + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -2697, -6081, -10831, -16953, -24453, -33337?\nAnswer: -43611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 - 192*q - 603. Let y be b(-42). Which is bigger: y or -1361?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 16*k**2 - 7*k + 11. What is the remainder when n(15) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -30*c. What is the common denominator of (-5)\/(-4)*(-1)\/12 and (2\/(-6) - c)\/((-64)\/(-3216))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -108*x**2. Let k(g) be the first derivative of -g**4\/6 - 10*g - 27. Let o(z) be the first derivative of k(z). Calculate d(o(u)).\nAnswer: -432*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*6*(-4)\/8. Let a = n + 0. Let k be ((-4)\/(-8))\/(a\/2). Sort 4\/9, k, 2 in decreasing order.\nAnswer: 2, 4\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -696, -1046, -1396, -1746, -2096?\nAnswer: -2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**3\/33 + 208*y**2\/11 + 21632*y\/11 - 9. Find a, given that v(a) = 0.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242361 times -26\nAnswer: -6301386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(2*z + 2*z + 2 - 3*z).\nAnswer: -4*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 + 528*w + 26*w**3 - 7*w**3 + 530*w - 1058*w.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1167, -1461, -2269, -3849, -6459, -10357?\n\"Answer: -43*g**3 + g**2 + 4*g - 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**36)**(5\/2) assuming t is positive.\nAnswer: t**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1616 - -2055?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 93*v**2 - 152*v - 389. Give t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 30 = -4*n - 94, -896*v = 4*n - 895*v - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((((d\/(d**(-7)\/d))\/d)\/d)\/d)*d*d)\/d)\/d*d**(2\/25)*(d*d*d**(-1\/2)*d)\/(d*d**1)*(d**0)**(-34\/5)\/((d*d*d**(-1)\/d)\/d**(-6)) assuming d is positive.\nAnswer: d**(-471\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**5\/40 - v**4\/4 + v**3\/2 + v. Let m(l) be the second derivative of i(l). Calculate m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*z - 1. Suppose -92 = -3*p + z. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 1)*(-5 + 4 + 0)*(m + m - 4*m) + (5*m + 3*m - 6*m)*(-2 + 0 + 1) - 3*m - m + 9*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 231, 227, 217, 195, 155?\n\"Answer: -f**3 + 3*f**2 - 6*f + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13)\/j)\/j*j)\/(j**(3\/10)*j)*(j**(-3\/8))**(-2\/77) assuming j is positive.\nAnswer: j**(-23547\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllcllclcccl. Give prob of picking 1 l and 2 c.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (275\/22)\/(1\/2). Let x = w + -25. Let d be x\/(2 - (0 - -4)). Solve d = 2*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8826*s**4*z**2 - 4*s**4*z + 4*s*z**2 - 117*s + 11*z wrt s?\nAnswer: -105912*s**2*z**2 - 48*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/9))**(-1\/75)*((b**(-4)\/b)\/b)**(-5\/3))**(-3\/31) assuming b is positive.\nAnswer: b**(-6751\/6975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b**2. Let h(y) = -582*y**2. What is h(j(v))?\nAnswer: -114072*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 812\/11 - 74. Put -39, -3, g in descending order.\nAnswer: g, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 3. Calculate the remainder when 7 is divided by 4 + -3 + 2 + j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v. Let s(a) = 6*a**2 + 1. Calculate s(i(o)).\nAnswer: 384*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 16) in base 15?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 + 4*j - 2. Calculate the remainder when 62 is divided by o(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + m - 3. Let z(n) = -3*n**2 - n + 3. Let k be (8\/9)\/(22\/99). Determine k*j(h) + 5*z(h).\nAnswer: -3*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22135 divided by -1233\nAnswer: -22135\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 28382188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -324 - -383.9. Let m = -60.071 + 0.071. Let t = l + m. Which is the biggest value? (a) 0.3 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*j + 10 = -38, 0 = 5*c - 3*j + 90. Let h = -7 - c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011463719 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/97185760 and -13\/148960.\nAnswer: 680300320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - n - 17 = -29, 2*k - 12 = -2*n. Let u(q) = 120*q**3 - q**2 + 1. Calculate u(k).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.81 - -0.71. What is the nearest to -1 in 0.3, -0.06, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -45. Which is the nearest to 0? (a) 0.4 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*n**2 + 0*n**2 - 15*n**2)*(2*n + 0*n - 4*n) - n**3 - n**3 + n**3)*(-10*n - n + 3*n) as k*n**3 + a*n**2 + f*n + m*n**4 + z and give m.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.89 times 0.6?\nAnswer: -71.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(35)\/(sqrt(10)\/sqrt(2) + sqrt(5)) - (sqrt(700) + -6*(-3 + sqrt(700)))**2).\nAnswer: -17829 + 3601*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165, -322, -475, -624, -769?\n\"Answer: 2*q**2 - 163*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2\/21, -1\/6, -10\/7, -3, -1\/5?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7686387 and 6993.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*p + 0*p = 10*p, -3 = k - 6*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 690184562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * 0.100527.\nAnswer: 0.02714229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Suppose -4*r + 13 + 3 = g. What is the remainder when 6 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36062 - 1232 = 45*j. What is the highest common divisor of j and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-578 + 579)\/((-1)\/57). Suppose -5*g - 280 = -4*y, -5*g - 175 = 3*y + 105. Is g at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -2, 4 = -2*l + 2*b. Put -9, 152, l in ascending order.\nAnswer: -9, l, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3344*f**3*t**3 + 9*f**3*t - 3*f**2 + 20*f*t + 418*f + t**3 wrt f.\nAnswer: -20064*f*t**3 + 54*f*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -480668167\/5179 + 92811. Let y = -253759\/31074 - f. Calculate the common denominator of y and 49\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 13*d - 66. Solve 5*o = -5*h + 40, 0 = d*o - o + 5*h - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -25*m**2 - 20*m**2 - 3*m**2. Let h(y) = -2*y. What is c(h(o))?\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 t when three letters picked without replacement from xttuxhtxtxluxttttllu?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 451753205 to the power of 1\/2, to the nearest integer?\nAnswer: 21254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -3.5. Let p = -70.7 + 71. What is the second smallest value in p, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5934568, 5934514, 5934460, 5934406, 5934352?\n\"Answer: -54*v + 5934622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 20?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -13. What is the remainder when (-245)\/m - (-1)\/(-4) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 67.6157328 seconds?\nAnswer: 0.0001117985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - j**2 - 31*j - 120. Let o be x(-4). What is the highest common divisor of o and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 29. Let h = s - 14.5. What is the nearest to 2\/9 in -0.4, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(1\/12)\/z))*z\/(z*z**(-6)*z*z))**5\/(z*z*z**(2\/11)\/z*z*z*z**(-8)*(z*z**8*z)\/(z*z**(-7))) assuming z is positive.\nAnswer: z**(559\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 28975392\nAnswer: 5795078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1579 + 35444 = 3*u - 2*k, -6 = -2*k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:19 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*p - 0*p. Suppose 53*v - 20 = 48*v. Suppose -2*h = 5*c - 56, 0 = c - v*h + 1 - 21. Calculate the highest common factor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/65*10305\/198 + (-4)\/(-22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/35 + (-6)\/(-126). Let l(b) be the third derivative of 0 + 0*b + 2*b**2 + 8\/3*b**3 + 1\/60*b**5 + d*b**4. Factor l(p).\nAnswer: (p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:06 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 92*w + 78. Calculate s(24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -38 + 38 - u. Let b(g) = 3*g**2. Give b(o(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**2 + 4. Let w = 297 - 295. Let a(n) = -54 - 29 + 83 - 2*n**w. Determine a(q(s)).\nAnswer: -242*s**4 - 176*s**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4621.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4731 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-54)\/207)*(8 - 1). Suppose -5*y - 3*p + 7*p + i = 0, 2*y - p = 65. Let a(x) = -x + 12. What is the remainder when y is divided by a(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let j be i(-7). What is the remainder when (-9)\/21 + (-807)\/j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 10*m + 47. Let w be q(-14). Let x be (14 + -7)*54\/7. Let c be ((3\/1)\/w)\/((-3)\/x). Solve -c = -3*s + 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/(s*s**(3\/2)*s)*((s**(-1\/3)*s*s)\/s)**(-3\/11)*((s\/(s*s**(2\/3)\/s*s))\/s)**(-37)*(s\/(s\/(s**(-7)*s)))\/s**(-5) assuming s is positive.\nAnswer: s**(4091\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -30, -26, -14, 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/(15\/18*2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5303 in -15.8, 0, 1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 512, 2\/5, 14, 4\/9, 1\/2, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14505?\nAnswer: 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -4 + sqrt(245) + 0 + sqrt(245) - ((sqrt(245) + sqrt(245) + 1)*2 - (sqrt(245) - 1*sqrt(245)*1)))*-5 + -5)**2*-1.\nAnswer: -25400 - 4200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 1542\/10)\/(2 + (-708)\/355)?\nAnswer: 2, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 964 * 786\nAnswer: 757704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*t + 4 = -t, 2*n - 20 = 5*t. Suppose 0 = -4*k - 2*p + 18, n = 5*k - p + 1 - 6. Do k and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2721 + 0.0279. Which is the closest to 0.03? (a) -0.1 (b) 1 (c) w (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 3\/((-6)\/(-10)). Suppose -y = -5*l - 2*n - 44, -3*n = 2*l + 21. Let c be 4\/3*(3 - l). What is the greatest common factor of c and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x**2 + 13*x**2 - 13*x**2)*(6*x - 3*x - 4*x).\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let y(b) = -2. Let c(a) = -2*w(a) - y(a). Let t(v) = 20*v. Give c(t(d)).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 take away 0.7285?\nAnswer: 266.2715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/2)\/n)\/n**(-1\/4)*((n\/(n*n*n**0))\/n*n)\/(n\/((n\/n**(-6))\/n*n)*n))**(1\/18))**(-5) assuming n is positive.\nAnswer: n**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(650) - 1*(sqrt(650) - (sqrt(650) - (sqrt(650) + sqrt(650)*-2))))\/(sqrt(18)\/sqrt(36) - -1*sqrt(32)))**2.\nAnswer: 5200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 52*k**2 - 21*k - 686. Is n(39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:14 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 9. Let p be y(-8). Suppose -2*m + p = 1. Suppose x - m*x - 4 = 0. Are -2 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f + 1186 - 2818 = 0. Calculate the remainder when 583 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2641080)\/(-216) - (7 + 488\/(-72)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*m + m - 7 = 0, 2 = 3*g + 4*m. Let p be ((-18)\/3)\/(-2) - g. Which is the biggest value? (a) -0.1 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*v - 242 + 218, 4*v + 46 = 5*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/4 + 391*g\/2 + 15981\/4 = 0. What is g?\nAnswer: -761, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270072 and 114884.\nAnswer: 705157992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 264*b + 2012. Give h(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -221*j + 15. Let t(b) = -125*b + 8. Let p(m) = 4*l(m) - 7*t(m). Give p(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*s + 2*s. Suppose 0 = 3*p + 4*z - 3*z - 31, -s*z - 33 = -5*p. Are 0.2 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3368764 and 7084.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582 (base 14) to base 13.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 3*u**2 - 11*u + 3. Suppose 212 = -4*b + 324. Suppose -8 + b = 4*s. What is v(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-10)\/(-4))*8. Let n(m) = m**2 + m + 6. Does 8 divide n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 44. Suppose 5*s - 5*q = -0*s + 360, -s = -g*q - 84. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21275 is divided by 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -505*b**2*q**3*r - 12*b**2*q**3 + 2*b**2 + 2*q**3*r - 2*q**2*r + 24*q*r + 13*r wrt q?\nAnswer: -3030*b**2*r - 72*b**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -932325.179953 - -932324. Let m = u + 1.18. Round m to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360643 (base 9) in base 5?\nAnswer: -1213433433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2. Let q = 17 - 14. Let w be 4*1 + 12\/q. Let b(t) = -9 - w + t**2 + 17. Calculate b(u(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22788 divided by -3.\nAnswer: 7596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5106*g**4 + 3*g**2 - 2*g - 702.\nAnswer: 122544*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1008 and 756.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -290*i + 0*i**3 + 0*i**2 + 0 - 12*i**4 + 0*i**5 - 1\/21*i**7 - 29\/30*i**6. What is the third derivative of g(m) wrt m?\nAnswer: -120*m**2 - 696*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*j + 706*j - 375*j - 24570 = -603*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vinu when four letters picked without replacement from {k: 1, i: 3, n: 2, v: 3, a: 1, u: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 2*q)*((4*q + 2*q - q)*(-5 + 0 + 3) - 3 + 3 + 2*q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + 4. Suppose 5*r + 49 = -2*u - w, 2*r - u = -35. Let v = r + 44. Solve v = 2*a - 7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6, -2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 - 28*k + 36 + ((-k + 2*k - 2*k)*(1 + 0 + 0) + 7*k + 0*k + 0*k - k - k + k)*(1 - 3 - 1).\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 9. Let v be h(6). Suppose v*m + 3 = 4*m. Suppose -2*d - m*d - q + 468 = 0, -4*q + 291 = 3*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1752 + 4861. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -5. Let d = z - -14. Let h = 0 - 0. Which is the third biggest value? (a) d (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3533 (base 11) to base 9\nAnswer: -6318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**8\/112 - 13*r**4\/24 - 7*r**2. What is the second derivative of g(d) wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 9*g - 8. Let f be w(-10). Let v be (480\/(-140))\/(f\/(-7)). Solve -5*z - 2*q = -4*z + 4, 0 = 3*z - q + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**5 + 0*k**6 + 0*k**2 + 61\/4*k**4 - 109\/14*k**7 + 137*k + 0 + 0*k**3. What is the third derivative of s(o) wrt o?\nAnswer: -19620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*j + 2880, -5*j + 2*j = -3*m - 2139. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86752, -86739, -86726, -86713?\n\"Answer: 13*x - 86765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**3 - 102*v**2 + 7317*v - 4830.\nAnswer: -3*(v - 23)*(v + 35)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1304935920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - z**4 + 0*z**3)*(4 + 3 - 2 + (-187 + 373 - 268)*(0 - 5 + 3)).\nAnswer: -169*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 3 = -3*v + 19*u, 0 = -v + 4*u + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/511528970 and -81\/9338.\nAnswer: 3580702790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 45?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 5*y - 8, -m - 4*y = 16. Which is the fourth smallest value? (a) m (b) -2 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(2 + -1 + -2). Let q = o - -4. Suppose q = -r + 3 + 16. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 + 28601469*u**2 = 0. What is u?\nAnswer: 0, 57202938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*u**4 - 5290*u**3 = 0. Calculate u.\nAnswer: 0, 1058\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 1\/2*r - 1\/2*r**5 - r**2 + 0*r**3 + 0.\nAnswer: -r*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250.9617 micrometers to meters.\nAnswer: 0.0002509617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/(-10))\/((1\/(-10))\/(-1)). Let x = -25 + u. Suppose -2*t = 5*g - 246, 4*t - 5*g - 279 - 183 = x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -10. Let i = t + 30. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nazzcdnl. Give prob of picking 1 c and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 take away -0.0463840635?\nAnswer: 350.0463840635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0551 and 89\/26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3679 - -3638) + (15 - (0 - -1))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50587923 and 927137.\nAnswer: 51515060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 129500 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/169855 and 19\/644.\nAnswer: 679420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214583 and 1475.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/4)\/1*-2)\/((-4236)\/4236).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2065.6807 to the nearest integer.\nAnswer: -2066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 51 (b) -2\/161 (c) 0.5 (d) -0.09 (e) -5 (f) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -57*t + 280. Let k be c(-18). Is 1308 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 + 5*t + 5. Let j be s(7). Is -6 - j - (-3 - -4483)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d = -55*d - 10920. Let v be (8\/(-20))\/((-14)\/d). Solve -3 + v = 3*a + 3*c, -3*a - c = -15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 + 103847216*n**2\/5 + 1348030637716042*n\/5 + 2696060860043236\/5.\nAnswer: 2*(n + 2)*(n + 25961803)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364965 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 18*m - 589. Calculate q(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaalaaaaaaa. What is prob of picking 1 l and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 - 8330*q - 134560 = 0. What is q?\nAnswer: -16, 1682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d - d - 3 + 3 + (2 - 4 + 0)*(-3*d + 2*d - d) - 4*d - 3*d + 4*d)*(106*d**3 + 30*d**3 + 120*d**3).\nAnswer: -256*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * -0.05.\nAnswer: 6.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896677004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*n - 80, 3*n = 4*w + 52 + 66. Suppose 0 = -n*t + 21227 - 4545. What are the prime factors of t?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -b + 2*c + 56, 82 = 2*b - 2*c. Suppose -18*t = 170 + b. Is t greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 28*k**2 - 52*k + 4. Calculate x(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.56, -360\/17, 3 in ascending order.\nAnswer: -360\/17, 2.56, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 261 + -2?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/b**(12\/11))\/(b**(-10)*b\/(b*b*b**(-8)*b)) assuming b is positive.\nAnswer: b**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 17456*x - 38088992 = 0.\nAnswer: 4364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 60 = 4*p, 2*p - 49 = t - 19. Let k(g) = g**2 + 4*g. Let j be k(-10). What is the greatest common factor of p and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(88)*2)\/(sqrt(968)*2))**2.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7533*d - 4131*d - 2194*d.\nAnswer: -13858*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(-4*d - d + 3*d)*(1 - 1 + 1) + 5*d - 4*d + 3*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5 in ascending order.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - o = -4*o + 51, 5*l = 2*o + 118. Suppose 9*f - 5*f + 5*t - 401 = 0, 4*t = -2*f + 208. Calculate the remainder when f is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13607 + -41?\nAnswer: -13648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 19*p**3\/6 + 11*p**2\/2 + 28*p - 16. Let u(a) be the first derivative of k(a). Differentiate u(l) with respect to l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 622, 530, 406, 250, 62, -158?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*n - 12 = 4*n, -2*n + 12 = -4*l. Let d(b) = -b - 3*b - 1 - b. Calculate the remainder when 40 is divided by d(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 7:01 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 6. Let y = -2 + 5. Suppose -40*m + 68*w = -44*m + 612, 5*m = -3*w + 27. Sort y, a, 4, m in ascending order.\nAnswer: m, y, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1282, 2\/3?\nAnswer: 1282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*u + 5*p, -4*p = -2*u - 3*u + 126. Suppose -f + 2 = o - 0, f - 2 = 0. Suppose o = -s - 5*q + 62, 254 = 5*s - q + u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 254. Is (-5)\/(-6) - 4491340\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(7 + 15 + 0)*(-34 - 33 + 87 - 2*b).\nAnswer: 44*b - 440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -32?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24092 by -2.\nAnswer: 12046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 575057\/(-19775) + (-3)\/((-150)\/4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 14. Let m be n(4). Let p be -5*m*2\/12. Factor 0 - 10\/3*v + p*v**3 + 5\/3*v**2.\nAnswer: 5*v*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 21*f + 95. Let d be r(15). What is s in 10*s**2 + 8 + 254*s**5 + 12*s**3 - 35*s + 14*s**3 - 25*s**4 + 4*s**3 + 7 - 249*s**d = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 53*j + 77. Let c be v(25). Differentiate -19*d**2 + 34*d**c - 2*d + 46*d**2 - 25 wrt d.\nAnswer: 122*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 400, 399?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 147*q**3 + 38*q**3.\nAnswer: 185*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121699113 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 6*v + 7. Suppose 3*t + 22 = -5*a + 6*t, 5*a + 3*t = -28. Give d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26419058 and 158514348?\nAnswer: 158514348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 5446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111021 (base 3) in base 5?\nAnswer: -2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 578 and 47923.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11010101001?\nAnswer: 11010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = 0. Suppose -2*y + 4*y = k. Let t = y + 1. Solve a + t = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 + m. Let y = -26 - -32. Let z(u) = u**2 + u. Let h be z(2). Suppose h = -c + 1. Let d(k) = -5*k**2 + k. Determine c*d(a) + y*j(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -i + 17, d + 3 = -0. Let w(c) = 2 - 6*c**2 + 0*c**2 + 4*c**2 + 3*c**i. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 22*y**2 - 8*y - 37. Calculate k(20).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -28*b + 23*b + a, 5*a = b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (sqrt(1100) - (4 + sqrt(1100)*2)) + sqrt(1100) + (sqrt(1100) + sqrt(1100) + sqrt(1100) + -2)*2)**2 + 1.\nAnswer: -1120*sqrt(11) + 53965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.344489 centuries in years?\nAnswer: 534.4489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:53 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 28\/11, -2 in decreasing order.\nAnswer: 28\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 413547 equal to 413547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -8)\/((2 - 1)\/(-1)). Let y(v) = -2*v - 5. Determine y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 13) to base 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -3*s - 0, 3*g = -6. Suppose 89 = s*f + 1. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 3*c + 250 - 250. Suppose 5*k + 4*n - 17 = 0, 4*k - 18 = 2*k + 4*n. Suppose -i + 2 = k. Give h(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10817, 11046, 11275?\nAnswer: 11504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-7702702.3\nAnswer: -308108.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/7243 + 14480\/21729. Suppose 2*t - 2 = f, -5*f + 5*t - 10 = 2*t. What is the closest to r in -5, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-5 + 7))\/((-3)\/(-4)). Put 2\/9, -3\/4, k in increasing order.\nAnswer: -3\/4, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 1762.641?\nAnswer: 1762.641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (458\/687)\/((-37)\/(-18) - 2 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-100)\/228 + (-6)\/(-57))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 15*v - 4. Let z(m) = -5*m**2 - 31*m - 13. Let b(a) = -7*k(a) + 3*z(a). Let o(f) = f**3 - 6*f**2 + 6*f + 7. Let u be o(5). What is b(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y. Let j(n) = 3*n**2 - 3*n - 1. Let w(q) = -4*h(q) + j(q). Let v(z) = -z**3 + 4*z**2 - 4*z - 5. Let f(i) = -v(i) - 4*w(i). Determine f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466329275 to the power of 1\/2, to the nearest integer?\nAnswer: 21595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 472 and 8270266.\nAnswer: 33081064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 43*c**2 + 8*c**2 - 31*c**2 - 21*c**2 + 8*c**2 - 25*c wrt c?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -121*h**7\/70 + 737*h**6\/20 - 4621*h**5\/20 + 201*h**4\/2 - 18*h**3 + 135*h**2. Factor t(p).\nAnswer: -3*(p - 6)**2*(11*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y**2 - 63*y. Let t(n) = -113*n. What is t(g(k))?\nAnswer: -904*k**2 + 7119*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 2882*s**3 + 310127*s**2 + 313010*s.\nAnswer: s*(s - 2770)*(s - 113)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*704\/(-176). Let g(b) = -b**3 + 8*b**2 - 5*b + 8. What is g(y)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-2 - 2*b + 2 + 0*b + 0*b + 2*b + (0 + 0 - b)*(-1 - 1 + 3) + 2*b + b - b + 0*b - 2*b + 0*b)*(12 - 21*b**2 - 12).\nAnswer: -63*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 4*l**2 - 4*l**2)*(-76496 - 1938*l + 76496).\nAnswer: -3876*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6.8, -2\/9.\nAnswer: -6.8, -4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 6*l. Let u be r(7). Let k = 5 - u. Let a be (k\/(-6))\/(6\/54). Solve -a*m + 25 = -2*y - 2*y, 2*y = -2*m - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + k**2 - 2*k**2)*(141*k + k - 23*k - 2*k**3 + k**3 - k**3 - 2*k**3 + (k**2 - 2*k**2 + 2*k**2)*(-k - k + 3*k)).\nAnswer: 15*k**5 - 595*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 4.9.\nAnswer: -0.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3111 and 21777.\nAnswer: 21777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12081*-0.04.\nAnswer: -0.0048324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -10. Suppose -a = -5*d + 3*d. Do 3 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 962, 3842, 8640, 15356, 23990, 34542, 47012?\n\"Answer: 959*b**2 + 3*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 28*j - 264. What is the least common multiple of q(-7) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(-2 + 9\/2). Let r be (8\/3)\/(-4)*-1. What is the closest to r in h, -2\/11, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qqqqqqjjqqqqqjq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8 - 4. Suppose -3*m = -2*h - 22, -2*h + 0 = s*m + 2. Suppose -5*z + 9 = -16. Solve -z*l + 1 = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604*y = 601*y + 11454. List the prime factors of y.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26031, 4, 5\/7 in ascending order.\nAnswer: -26031, 5\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from cucuxuckkchb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 0.5\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276272710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Let k = 0.4 - 0.4. Which is the nearest to k? (a) -1 (b) 3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 74 = 3*j - 325, -3*j - 3*p = -231. Is 91 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o - 1. Let r(v) = -3*v**2. What is h(r(p))?\nAnswer: -27*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -231. Let v = 98.6 - o. Which is greater: v or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiddddidiiddii. What is prob of picking 1 i and 3 d?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let m(c) = -c**2 + 1. Let w(x) = 21 - 42 + 17 + 8*x**2. Let r(h) = -8*m(h) - 2*w(h). Calculate r(o(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2481 at most -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - -62 - (1 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12547272 and 8491?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/11 + -10 + -1 + 4.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 + -6)*1\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 2.26?\nAnswer: 2.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 42*q + 28642. Let x(m) = m**2 + 8*m - 5728. Calculate -4*v(b) - 21*x(b).\nAnswer: -b**2 + 5720","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0)*(6*x**2 + 5*x**2 - 7*x**2) + 2*x - x**2 - 2*x.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rarrarrarara. What is prob of sequence ra?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)*s*s**4)\/(s**1*s*s*s*s*s**(-5\/2)) assuming s is positive.\nAnswer: s**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/6 - 73*u**2. Let l(z) = 20*z. Determine l(g(r)).\nAnswer: 80*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -43. Suppose h = -l*q + 51, h = -3*h + 4*q + 156. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(x*x**(1\/23))\/x*x*x*x*x**(-7) assuming x is positive.\nAnswer: x**(-45\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/(-90)*430*(-28)\/490.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let m(w) = -w**2 - 3385*w + 15. Give c(m(g)).\nAnswer: -4*g**2 - 13540*g + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/21)\/(-1) - 7\/49?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + n - 331, -4*n = -t - 0*t + 188. What is the common denominator of (-4)\/(-10)*4165\/t and -113\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, v: 3, h: 3, d: 1, x: 3, z: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12043?\nAnswer: 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*r - 205*r + 638 = 0. Let b = 23 + -3. What is the remainder when r is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + v - 6, -5 = -5*k - 5*v + 10. Suppose -i + k = o, -4*o - 4*i + 9 = o. Solve 4*u - s = s - 20, -2*u = o*s - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 35. Let p = 8.88 - 5.88. What is the closest to g in 9\/8, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 373 + -255. Suppose 32 = -3*n - s. Is -50 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -72 + 39 - -36 - (97 - 0).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + 2\/6*-8. Let j be 0 - (-1)\/2 - 5\/s. Suppose -56 = -4*p - j*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 29 = -4*h + 4*z, -4*h - 5*z = -61. Suppose 3 = 4*r - h*r + n, -3*r - 3*n = -9. Let j be (-1*3)\/((-15)\/125*5). Solve -j*x + 15 = -r*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221331787 to the nearest ten thousand.\nAnswer: -221330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*b = -42*b + 6*b + 333. Suppose 2\/3*x - 4\/3*x**2 + 4\/3 - 2\/3*x**b = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 5 = 17*k, 0 = 3*s - 5*k - 1703. Let r be s\/3*(57\/12 + -4). What is the highest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21202 rounded to 3 decimal places?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 9. Let q be b(-7). Let o = 9 + q. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/10, 3, 148 in decreasing order.\nAnswer: 148, 3, 3\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 2. Let b = 59313 - 59318. What is the closest to -1 in -0.06, w, b?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47513 in 0, 2, 0.5, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 117. Suppose 3*r + 0*t + 4*t - 8 = 0, -4*r + x*t - 26 = 0. What is the units digit of (-9961)\/(-49) - r\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -717430.005.\nAnswer: -717429.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 plus 651822000820?\nAnswer: 651822000816.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93463505 rounded to four decimal places?\nAnswer: -0.9346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10470\/12215 - (-2)\/(-14)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21828725?\nAnswer: 5, 23, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.01, -1\/182, 1\/3, -2\/65, -5?\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -22 + 22. Let y(m) = -m - 3. Let r(h) = -10*h - 38. Let s(v) = -2*r(v) + 22*y(v). Determine s(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1522 - -1528) + 1\/((-1)\/6). Suppose 0 = -3*x - 7 + 1. Let j be 63\/15 - x\/(-10). Solve -j*p = -t*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -50*((-6)\/(-21))\/(4\/(-7)). Suppose 5*v + 385 = a, v + 21*a - u*a = -77. What is v rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and 0.11488?\nAnswer: 8.15648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520665335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = 0. Let v = -17 + 12. Sort v, 1, q in increasing order.\nAnswer: v, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 13) to base 15.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -0.12. Suppose 0 = 9*y - 7*y - 4. Let i be 8\/594*-24 + y\/(-9). What is the closest to n in i, 2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (561\/11)\/((-19)\/2261*51).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0 (b) 1\/3 (c) -1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 20. Let c(s) = 69*s + 288. Let i(k) = 3*k + 12. Let f(x) = -5*c(x) + 120*i(x). What is f(m(h))?\nAnswer: -30*h - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -26. Suppose -m = -10*t + 9. Let p = -5.6 + 5. Is t greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/713 and -97\/28980?\nAnswer: 898380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13713?\nAnswer: 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 20875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 708334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -366*j**2 + 77*j + 533. Let o(x) = 73*x**2 + x - 1. Let d(g) = 10*o(g) + 2*s(g). Factor d(r).\nAnswer: -2*(r - 88)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4171188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -93. Suppose 0 = o + l - 60, b*o - 2*o + 3*l = 54. Suppose 5*v = 368 - o. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 2 + 14*d**2 - 8*d**2 + 4*d**6 wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-25 - (-21 - -16 - 51))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -19812, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173\/143 or 0?\nAnswer: -173\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g - 1. Let t = 13 - 11. Suppose x + 0 + 11 = -4*j, 2*x + t*j = -22. Let c = x + 10. Let o(d) = 5*d**2 - 2*d + 1. Determine c*o(n) - 3*f(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 3, 0, -1680 in ascending order.\nAnswer: -1680, -9, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21773775 and 111?\nAnswer: 805629675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgu when three letters picked without replacement from yydluldddlgddye.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00289492 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmss when four letters picked without replacement from {s: 12, m: 3}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -44, -49, -54, -59?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*o + 254 = 0, -136 = -2*p + o - 6*o. Suppose 160 = 86*d - p*d. Solve -18*a + 14*a = d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose -o*k + 5859 = 3*n, -n + k + 2154 = 209. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-5\/4))\/m)**(-1\/23)*m**(-7\/3)*m\/m**(-17) assuming m is positive.\nAnswer: m**(4309\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 3) + 3 + -6 + 5 + 166. Put -3, 2, h, -4 in ascending order.\nAnswer: -4, -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 472593 + -2362964\/5. What is l in 0 + 1\/5*l**2 + w*l**5 - 1\/5*l**4 + 2\/5*l - 3\/5*l**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1944 * -731022\nAnswer: -1421106768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**5\/60 + v**4\/24 + v**3\/6 + 16*v**2. What is u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 2*s - 1. Let x be h(1). Suppose 3*f - 24 = -x*f. Let u(p) = 11*p + 6. Is u(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Let g be 3\/36*3*1. Let y = -678\/41 + 10252\/615. Which is the nearest to q? (a) g (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(-1\/9)*z)*z*z*z*z\/z**5)**16\/((z**(1\/2))**(-13\/5)\/(z*z**(-2))**45) assuming z is positive.\nAnswer: z**(-5533\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(630)*2)\/sqrt(10) + sqrt(63))*1)\/(1*sqrt(81) + (sqrt(1296) - (sqrt(1296) + sqrt(1296)*1))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = -16. Let b be 0*(-2)\/(5 + 1). Suppose b - 6 = -2*k. What is the least common multiple of y and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 421 + -131035?\nAnswer: -130314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795831338?\nAnswer: 2, 397915669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n**2 + 124*n + 106. Let o be y(11). Sort -5, o, 4, -2, 5 in descending order.\nAnswer: o, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314 + 314.25. Let q = 0.2500121 - f. What is q rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.7 + -17. Let d = -1.2 - -0.2. Let t = d - 0. Which is the smallest value? (a) 1 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -11. Let u(o) = -3*o**q + 1 - 2*o**2 + o**3 + 0*o**3. Determine u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4703 - 4578. Solve -b = -8*s - 157 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from xnvxvnxvvvnnvxvanx.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + h = -2*m - 6, -7*m + 3*h - 4 + 24 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 56. Determine l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 10:38 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1394456358, 2788912715, 4183369072, 5577825429?\n\"Answer: 1394456357*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let n = 6 - 8. Let x = -1.27 + 0.27. Which is the nearest to x? (a) w (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (592*s - 1602 + 1602)*(s**3 + 3 - 3)*(-3*s - 3*s + 3*s).\nAnswer: -1776*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8403277?\nAnswer: -8403277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1700988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 689107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 7\/2, -3, 0.2, 2\/5, 2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-37)*o**(-32) assuming o is positive.\nAnswer: o**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*x**3 - 22*x**2 + 180*x**3 - 393*x**3 - 421*x**3.\nAnswer: -696*x**3 - 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + v + v - 3*v + 2*v + 0*v - v + 3*v + 0*v + (1 + 1 + 0)*(v + 0*v - 3*v) + (-v + 4*v - 2*v)*(-1 + 4 - 5).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-4\/13)*w)*w*w*w*((w**(-2)*w)\/w)\/w assuming w is positive.\nAnswer: w**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-323) - 26015\/1634*8.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17789600 rounded to the nearest one hundred thousand?\nAnswer: 17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137020 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: In base 15, what is 2 - -2173b2a?\nAnswer: 2173b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4364, 4373, 4382?\nAnswer: 4391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.082 + 0.018. Let x = 0.0133 - -0.0867. Which is the nearest to x? (a) -132 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 877 - 878. Let o(t) = 8*t**2 + 6*t. Let a(j) = j**2 + j. Let p(s) = z*o(s) + 6*a(s). Let q(x) = -2*x - 1. What is q(p(f))?\nAnswer: 4*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z = 20*z - 102*z + 576 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3223786083.9999533 - 3223787010. Let a = l - -926. Round a to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = h, 30 = 3*h + 5*q - 20. Solve -4*u + u - h = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from yxnxgggag.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*n = -96*n + 90 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126491678*y**3 + 925*y**2 + 8581?\nAnswer: -758950068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, 5 in descending order.\nAnswer: 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 333?\nAnswer: -4\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - (1 - 1)) + (462 - 466)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100101110101000 + 10100111000?\nAnswer: 10010101000011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -13. Let q = p + -43. What is the smallest value in -0.4, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*c - 3*y - 50, 2*y = -4. Calculate the remainder when 98 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*g**3*s - 7*g**2 + 1126*s wrt g.\nAnswer: -60*g**2*s - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226 - 615 + 219 - 2*w + 214 + 1842*w**3 wrt w?\nAnswer: 11052*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -166, 626, -2, 7, -5, -1 in increasing order.\nAnswer: -166, -5, -3, -2, -1, 7, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -338738746575 and 15.\nAnswer: -338738746560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6864*s = 6878*s - 111258. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + -5. Let g = 29.6 + v. Let z = g - 28.9. Round z to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -190\/11 greater than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 73*a**3 - 18 + 81*a**3 + a**2 - 156*a**3 to the form s + l*a**3 + t*a + h*a**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -59. List the prime factors of (-141 - -1)*(-27)\/g.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 8*y + 10. Let w be d(7). Suppose -4*n + 24 = -2*n. Let c = -9 + n. Solve w = -3*i - 0, -5*v = c*i + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 81. Suppose -28 = 9*x - d. Solve 0*p + 5*p + 20 = x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/81*((-70560)\/(-2597))\/80\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4930*z. Let t(y) be the third derivative of y**4\/24 + 2*y**2 + 527*y + 3. What is h(t(k))?\nAnswer: -4930*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - l**5 - 2 + 0*l**2 + 0*l**2 + l**5 + (-l**4 + 2 - 2)*(0*l + 3*l - l) - l**3 + 2*l**3 - l**5 + 17*l**5.\nAnswer: 14*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 154. Calculate p(-25).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*2*1*(-312)\/(-78)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-10\/7)*z)**5\/(z*z**(-2\/55)*z*z*z*z**(-3)))**(-6) assuming z is positive.\nAnswer: z**(-48924\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 10. Let p be k(-2). Solve 3*f + 4*b - b = 12, -p = -2*f - b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/24*-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 5*q**4\/12 + 2*q**3\/3 + 2*q**2 + 3*q. Let s(g) = -g**2 - g - 1. Let v be 2\/(-8)*(-4)\/1. Calculate v*f(c) + 4*s(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2154 and 3590?\nAnswer: 10770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1373*g + 566. Let u(t) = -686*t - 281. Let q(l) = 9*u(l) + 4*w(l). Differentiate q(m) wrt m.\nAnswer: -682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658*i = -690*i + 320. What is the remainder when 4947 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -18*a**2 - 137*a - 4. Let w(u) = -18*u**2 - 120*u - 1. Determine -7*c(k) + 8*w(k).\nAnswer: -18*k**2 - k + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66 + 310*p**2 - 222 - 219 + 18 + 19 wrt p.\nAnswer: 620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + 0 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3955949*g**2*n - 2*g*n + 13*g - 53740 wrt g.\nAnswer: -7911898*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 757800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5735 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/o**5)**(-49)*o\/(o\/o**3*o)*o**(3\/4)*o**(-3\/7)\/(o*(o**(4\/3)*o)\/o) assuming o is positive.\nAnswer: o**(7317\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 18*k - 191*k.\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9086625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, h: 1, q: 2, d: 8, e: 7, n: 1}. What is prob of picking 1 y, 1 h, 1 q, and 1 n?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 516*v - 420*v + 1411 + 1373 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.0346 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let a be x(3). Suppose a*y = -0*y + 54. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 - 5. Let k(p) = -7*p**2 - 4*p + 6. Let w(b) = -15*b**2 - 9*b + 13. Let a(s) = -9*k(s) + 4*w(s). What is 5*a(z) - 2*j(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 2*r + 3259*r**2 + 282 - 286.\nAnswer: 3259*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2469 = 4*w + 2*a + 617, a + 930 = 2*w. Suppose 7*t = 36*t + w. Let h(c) = -c**3 - 16*c**2 + c + 23. Give h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v = 2095. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x - 5*x)*(-x - 2*x + 4*x) - 2*x**2 + x - x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 996314916*q\/11 + 124080426480510882\/11.\nAnswer: 2*(q + 249078729)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + l**3)*(-5 + 14 + 21)*(0 - 3 + 2)*(2 - 3 - 1).\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s**2 - 3*s**2 - 4 + s. Suppose -12 = -3*i, 2*l - 10 - 10 = -5*i. Give r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-18)\/(-63)*7\/(-12)*-6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 283151 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:58 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 26 + 36. Suppose 0 = 2*z - 5*f - 139, -z + x*z + 5*f - 77 = 0. Calculate the remainder when z is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*b + 334, -c - 5*b + 25 = 171. Let n = 740 + -1640. Let w = c - n. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let f(p) be the first derivative of -6*p**3 - 15. Determine f(g(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 16 + 28 - 8 to the form m + p*v and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*x + 16, -2*x - 5*k = -0*x + 16. Let s = x + 14. Calculate the highest common divisor of s and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 1 (c) 362 (d) 7 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 13*p**4\/3 + 3*p**3\/2 + 365*p**2 + 1727*p. What is the derivative of g(q) wrt q?\nAnswer: 104*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -15. What is the remainder when 5 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29 + 6)\/((-7)\/(-3) + -2). Let x = d + 72. Suppose 3*g - 97 = 5*i - 9*i, -72 = -x*i - 2*g. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 5*r**3 + 2 - 4 in the form s*r**3 + b + g*r**2 + j*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -g - 2*j, j + 7 = -9750*g + 9751*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 + 2)*(-1 + x + 1)*(3*x + 5*x + x) + x**3 - 2*x + 2*x + (0*x + x**2 + 0*x)*(-x + 0*x + 2*x) + 16 - 23 - 3*x**3 + 9.\nAnswer: 8*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 6\/(-3))\/2 + (-3111)\/(-102). Solve y*v - 24 = 42*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286.5 - 286. Let m = -0.34 + 0.24. Sort m, p, 1\/7, 0.3 in ascending order.\nAnswer: m, 1\/7, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3))\/(a**(-4)*a))**(8\/3)*(a*a*(a**(-1\/4)\/a*a)\/a*a)**(15\/4)\/(a**(-4\/3)\/(a\/(a*((a*a**(-5))\/a)\/a))) assuming a is positive.\nAnswer: a**(265\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v**3 - 7*v**2 - 5*v - 9. Let n(u) = -13*u**3 + 7*u**2 + 6*u + 11. Let r(o) = -5*n(o) - 6*w(o). What is r(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838826266 to the power of 1\/2, to the nearest integer?\nAnswer: 42882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2*-1 + sqrt(1008) + 3*(sqrt(1008) + 1) - (-2 + 1 + sqrt(1008)*-4)**2)*6*-4.\nAnswer: 1728*sqrt(7) + 387024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from {b: 4, z: 3, l: 5}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4019165?\nAnswer: 5, 19, 42307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4582 (b) 3\/4 (c) 8 (d) 1 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ienenbeynbennend. Give prob of picking 1 i and 3 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -1095, -1643, -2191, -2739, -3287?\nAnswer: -3835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2775\/14430)\/((-100)\/78).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1029054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1961 = 143*q + 470 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*y - 19, 3*y - 3*w - 4122 = -4176 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -0*g - 3*g. Suppose -g = -i + 1. Let r = -953 + 973. What is the greatest common divisor of i and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1be8 - ac9?\nAnswer: -27c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -1 + 101\/6*g**3 - 5*g**2 + 1\/15*g**6 + 0*g + 0*g**5 - 1\/3*g**4. What is the derivative of n(x) wrt x?\nAnswer: 24*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14\/257, 0.1, -4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -28*t**3 - 221*t**2 + 10. Let m(u) = 42*u**3 + 332*u**2 - 16. Let d(z) = -5*m(z) - 8*x(z). Find the third derivative of d(s) wrt s.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - m)*(-m + 7*m + 3*m + (0 - 4 + 2)*(4*m + 1 - 1)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53147310 a multiple of 3270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 5 + n + 1 to the form y + j*n and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35.8*-2404.286\nAnswer: -86073.4388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxskcvtcvxsxvcsksvss. Give prob of picking 1 c, 1 s, and 1 v.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*o + 44, -10*o - 111 = -3*b - 13*o. Calculate the least common multiple of b and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4729, -4713, -4689, -4657, -4617, -4569, -4513?\nAnswer: -4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6546 (base 11) to base 14.\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1\/6*i**4 - 39\/2*i**2 + 0*i**3 + 0*i**5 + 3*i + 5\/21*i**7 + 0*i**6 - 2. Find the third derivative of j(f) wrt f.\nAnswer: 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -3*16\/8. Is s greater than or equal to -2\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-26) - (-2)\/13. Let z(j) be the second derivative of 1\/6*j**3 - h*j + 0 - 1\/2*j**2. What is the derivative of z(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 506\/168) + (1560\/(-630))\/(-26)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvvv when four letters picked without replacement from {v: 3, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 474 = -s + 410, -5*p = -2*s - 68. Solve -p = -2*z - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447581 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let n be 6\/(-3 - -6) - -1. Suppose x = n*d - 23 + 8. Solve 4*j = 5*r + 27, d*j - 6*j + 6 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {f: 4, g: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*a + 157. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + 1\/(-6). Let o(c) = 11*c**2 - 2*c. Let h(y) = -7*y**2 + y. Let n(b) = -8*h(b) - 5*o(b). Let v be n(-2). Are r and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 11 + -3 + -1 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3505*t + 4785. What is s(-1)?\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0 + 0)*(-2 - 3 + 4) - 6 + 4 + 4*q + 0*q.\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 173, -4, -2, 205 in descending order.\nAnswer: 205, 173, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.3 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 23. Suppose i*z = -y - 1 + 2, 2*y = 4*z + 16. Solve 2*n - 4*n + y = -4*p, -n - 3*p + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(-1 - 2 + 4)*(219*u**2 - 219*u**2 - u**3).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 55 = -0*s. Let i = -3 - s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 33664?\nAnswer: 33664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3806*o. Let f(g) = -13*g**2. What is f(h(d))?\nAnswer: -188313268*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19390808687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(5 + (-5416)\/1080). Let r(s) be the third derivative of 0 + 0*s**3 + 1\/6*s**4 + f*s**5 + 0*s + 1\/30*s**6 - 7*s**2. What is x in r(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51491 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*c*m*u**3 + 3*c*u**2 + 823*c*u - m*u**3 - m*u**2 - 103*m - 77*u**2 - 1 with respect to c.\nAnswer: 88*m*u**3 + 3*u**2 + 823*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*a + 4462 + 7166 = 18*a + 1738 for a.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -2 + (-4)\/(-2). Let z(j) = 3 - 2 - 63*j + 128*j - 64*j. Let l be z(n). Which is the closest to 0? (a) -0.1 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 - 128. Suppose -4*h - 4 = 0, 0 = -5*b + h - 2 - 2. Let j be 1*o\/b + -79. Round j to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 63 = 2*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-207)\/(-4) + (-30)\/(-24). Suppose -20 = 48*k - v*k. Solve -k*i - 4*f = 8, i + i + 6 = -3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 10}. Give prob of sequence ugg.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1924?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5789? (a) 3 (b) 13 (c) 141 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116638309 + 10739*h - 116638309.\nAnswer: 10739*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30280568, 60561130, 90841692, 121122254, 151402816?\nAnswer: 181683378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = -31551 + 6391. Round s to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 times -0.4?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/12 - d**3\/6 + 580*d**2. Let k(b) be the third derivative of 5*b**4\/24 + b**3\/2 - 2*b**2. Give -7*g(w) - 2*k(w).\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -198\/7*s - 596\/21 + 2\/21*s**2 = 0.\nAnswer: -1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4975297 less than -1?\nAnswer: 4975296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.082 in -50\/11, -218.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6 and 99\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72453983 at least as big as 72453983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*g**3 + 67*g**3 + 32*g**3 + 2 + 2*g**3 - 2 + (g**2 - 6*g**2 + 4*g**2)*(-g + 0*g - g) - 5*g**3 + 3*g**3 + 4*g**3.\nAnswer: 138*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*u + 52 + 1405*u**5 - 351*u**2 + 200*u**2 + 5*u - 1407*u**5 - 914*u**2 wrt u?\nAnswer: -40*u**3 - 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let o(b) be the third derivative of -b**5\/60 + b**4\/6 - b**3\/3 - 32*b**2. Give o(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58178030.\nAnswer: 2, 5, 5817803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z**4 + 255*z**3 + 50*z**2 + 861205*z?\nAnswer: -60*z**2 + 1530*z + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-364))\/(69600\/(-1827) - -38)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 0*i - 63 = -29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 3498.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58312122?\nAnswer: 2, 3, 11, 883517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42814.\nAnswer: 2, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -159 (b) 0.4 (c) 28\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 + 27\/(-189). Suppose -3*w + q + 3*q + 208 = y, 2*q + 212 = 3*w. What is the highest common factor of w and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 891688 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94 - 117 + 249)*(-h + h + h)*(-5*h + 6*h + 11*h) to the form f*h**2 + u*h + i and give f.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 12, d: 5}. Give prob of sequence mmm.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1028668053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 1 + 5. Suppose p*n = 2*n + 4*i - 12, -2*i + 18 = -5*n. Let l(o) = o**3 - 2*o**2 + o - 8. Let y be l(3). Put n, 5, y in decreasing order.\nAnswer: 5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 + a**4\/24 + 3*a**3 - 17*a**2. Let o(b) be the first derivative of q(b). Determine o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1528527906062 and -0.046?\nAnswer: 1528527906062.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 24. Let r(v) be the second derivative of 0 + 0*v**5 - 2*v - 1\/6*v**3 + 0*v**2 - 1\/6*v**4 + 1\/15*v**x + 1\/42*v**7. Factor r(a).\nAnswer: a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*x + 4*h, x = 2*x + 5*h - 16. What is the remainder when x is divided by 30\/50*15 + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - 3*i)*(-2 + 11*i**2 + 0*i**2 - 4*i**2).\nAnswer: -7*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*y = 18746, 5*f - 48860 = 3*y - 17616. Calculate the greatest common divisor of 50 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let r(b) = 4*b. Let h(d) = 2*m(d) + r(d). Let l(f) be the second derivative of -3\/4*f**4 + 0*f**2 + 0 - 13*f + 0*f**3. What is l(h(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 174*n + 39. What are the prime factors of s(6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000653184 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 2*w - 21, o - 4*w - w + 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/5)\/x)\/(x**(5\/6)\/x*x) assuming x is positive.\nAnswer: x**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-27\/5)*x*x**34 assuming x is positive.\nAnswer: x**(148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24100 + -9732. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -29*h**3 + 7. Let g(o) = -10*o**3 + 2. Calculate 8*g(q) - 3*l(q).\nAnswer: 7*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -50*c - 82. What is the remainder when 150 is divided by v(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 83, 127?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14047655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-288)\/(-21))\/(((-16)\/(-4))\/28). What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14))\/(28\/49).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/27 + 269545\/135. Let k(m) = 10*m**3 - 3*m**2 - 7*m - 8. Let b be k(6). Let n = b - s. Find the common denominator of 43\/9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, i: 13}. What is prob of sequence iw?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 + -415. Let x = t + 13041\/22. Calculate the common denominator of x and -25\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(7 - 4) - -1. Suppose 3*d + u = 5*d. Solve 3*f = -15, 5*z - d*f + 3*f = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34269 a multiple of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-21) + 60\/14. Suppose 4 = -h*z + 12. Solve 13 = -5*g - 2*u, -3*g + 1 = -z*u - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*c**4 + 24*c**3 + 32*c**2 + 9*c - 33229707 wrt c.\nAnswer: 220*c**3 + 72*c**2 + 64*c + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 311370 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 9*z + 16. Let f be d(11). Let k(y) = y**3 + 5*y**2 + 18*y + 74. Let p be k(-4). Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*j**5*o**2 - 6*j**5 + 30*j**2 - 2*o**2 wrt j?\nAnswer: 600*j**2*o**2 - 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1761 + 1762. Let x(l) = -6*l**3 - l. Let h(p) = -p**3. Give c*x(k) - 4*h(k).\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6656, -13317, -19990, -26681, -33396, -40141?\n\"Answer: -w**3 - 6654*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.3 - -101. Let v = 6 - f. Let l = -1 + v. Which is the nearest to 1? (a) 0.5 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by -5.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 834690759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -12. Suppose -b + 894 = d*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 4:11 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u - 550. Calculate x(42).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1701489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339948.2 millennia to centuries.\nAnswer: 3399482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2\/149 (b) -3 (c) -14 (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, r: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 48 = 26*a. What is the greatest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + -0.06. Let w = m - -1.99. Let b = 2.032 - w. Round b to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -1\/120*m**6 + 3*m**2 - 2*m**3 + 0 - 1\/12*m**5 - 1\/12*m**4 + 0*m. Let a be c(-5). Is a not equal to -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -49. Suppose -4*u = -2*h - q, 2*u - 15 = -u. Let x be -2*3\/(h\/10). Solve -2*p - 20 = x*t, t - 2*p = p - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v. Suppose -n = 4, v*d - 2*d - 4*n - 16 = 0. Suppose r - 12 = -d. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1096 + 1550. What are the prime factors of (-2 + p)*(5 - 36\/8)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10598*k - 12 = -10586*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -616, -1232, -1848?\n\"Answer: -616*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 + p + 5. Let b(j) = -2*j**2 + j + 2. Give 5*b(n) - 2*h(n).\nAnswer: 2*n**3 - 4*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11) + sqrt(33)\/sqrt(3) + -6*(sqrt(11) - sqrt(176)))**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -219598*z - 1097958. Calculate t(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 300 (c) 216 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 + 8 = 0. Suppose 2*n + 5 + j = 0. Let f(m) = 5*m + 5*m**2 + m**3 - 5 - m + m**2. Give f(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 21. What are the prime factors of (4 - (p + 399))*(-6 - -5)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.59 + 2.606967. Round x to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c**3 - c**2 + 12*c + 12. Let d be i(-1). Calculate the greatest common divisor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002211462 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.3 + -18. Let s = -0.7 - -1. Let h = s + -0.1. Which is the nearest to h? (a) -0.4 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s + o, 4*s - 20 = -0*s + 4*o. What is the units digit of -3*(-1)\/1 - s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*x + 12 = 0, 12*w + 24 = 13*w - 3*x. Solve 5 = -5*f, o = w*f - 1 + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3477 + 3478. Let b(x) = 2*x**2 + 9*x + 7. Let n(c) = -c**2 - 5*c - 4. Let p(t) = 4*b(t) + 7*n(t). Give p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068309 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12001 * -1.5.\nAnswer: 18001.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 414, 412, 410?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7224.944 + 7235. What is m rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -7. Let z be 22\/10 + 2\/v. Find the second derivative of n - 3*n**3 + 3*n**3 + z*n**4 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 941 * 0.13.\nAnswer: 122.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66994 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1195*t**2 - 432*t**2 + 2919*t**4 - 533*t**2 + 2*t + 934*t**4 wrt t.\nAnswer: 92472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from ttttttmttmttttmtmttt.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/11)*y*y*y*y**(1\/6)*(((y*y**(-16))\/y)\/y)\/(y**(1\/4)\/y) assuming y is positive.\nAnswer: y**(-1571\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 7*u + 19. Let k(n) = -5*n**2 - 28*n - 77. Let q(g) = 2*k(g) + 9*l(g). Let h be q(9). Which is the third biggest value? (a) 0.3 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/60 + 7*s**4\/24 - s**3\/3 + 20*s**2. Calculate r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(1\/7)\/((k*k*k**(2\/25)*k)\/k**(-2)) assuming k is positive.\nAnswer: k**(-3581\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847788239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/13)\/(f*f**(-2\/11)))\/(f**(1\/3))**5)**(-3\/41) assuming f is positive.\nAnswer: f**(1000\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 8*d**2 + 13*d - 12. Let s be h(8). Suppose -3994*k + s = -3992*k. Let w(t) = 12*t - 7. What is the remainder when w(8) is divided by k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 8. Let q = 115 - 113. Suppose q*c - 530 = -t*a - 10, 5*c = 2*a - 513. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c - c = 0. Let f(o) be the third derivative of 4*o**2 + 1\/24*o**4 + 1\/96*o**6 + 0 + 1\/840*o**7 + 0*o + 1\/30*o**5 + c*o**3. Factor f(y).\nAnswer: y*(y + 1)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**6\/360 - 3*m**5\/40 + m**4\/12 - m. Let j(i) be the third derivative of r(i). Is 2 a factor of j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 349?\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379409 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -29 - (23 - 82)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 48 = 19*z - 12*z, 4*z = 12*v - 212 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909790129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from fffffffafaaaaafa.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 - -96. Let z = 51.974 + h. Let b = z + 0.026. What is the nearest to b in -1\/12, 2\/9, 0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-25)*(-93)\/279?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19665 divided by 5\nAnswer: 3933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10) - (-19)\/((-95)\/14). List the prime factors of 317*(-3)\/(9 - 0)*z.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 3*t - 4. Suppose 2*o - h + 11 = 0, 4*h = -o + 2*h - 8. Let d be (-24)\/(-9) + (-2)\/o. List the prime factors of k(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -3 (b) 0.2 (c) 10 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x + 120. Let k(p) = -7*p - 116. Determine 2*j(y) + 3*k(y).\nAnswer: -y - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 + 23*u**3 - 69*u**3 - 3*u**3.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2919530 or 2919654?\nAnswer: 2919530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4810895.\nAnswer: 5, 19, 89, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1300701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/5935 and 81\/2.\nAnswer: 11870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b - 855. Give n(51).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:44 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 82*m**5\/5 + m**4\/12 - 161*m**2\/2 + m - 8. What is the third derivative of i(w) wrt w?\nAnswer: 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -15 + -25 - (25 + -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 267 - 267.4. What is the third biggest value in 0.1, -3, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a8 (base 13) in base 6?\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.341 + 1.623. What is l rounded to one dp?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*x - 14 = 0, 5*x = 2*l - 15 + 4. Suppose l*c = -2*d + d + 7, d + 17 = 5*c. Factor 3*y**3 + 3*y**2 + 9*y**2 + 0*y**c + 16*y - 4*y.\nAnswer: 3*y*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let g(b) be the third derivative of 0*b**3 + 0 - 5*b**2 + 0*b + 13\/60*b**5 + 0*b**4. Calculate o(g(n)).\nAnswer: 169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 3. Let c = -3 - k. Let g(y) = -y**c - y**2 - 4 + 3*y + 2*y**2 + 2*y**2 - y**2. What is g(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h + h + (-2*h + 0*h + 4*h)*(-4 + 0 + 6).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 1.5, -1\/4, 3, 6, 0.1, 3\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12709 and 116581254?\nAnswer: 116568545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - n + 9 - 9. Let o(i) = i. Let g(v) = 4*v. Let u(p) = g(p) - 3*o(p). Determine u(z(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 0*k)*(2*k**4 + k**4 - 2*k**4) + 46*k + 183*k**2 + 9*k**2 - 2*k**5 - 46*k.\nAnswer: -4*k**5 + 192*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 168599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 32*m + 12. Let v be x(32). Is (v - 1705)*(-5)\/(15\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16131535 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: Convert -12450 (base 7) to base 5.\nAnswer: -101233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -29. Let o = -141 + 141. Solve -d*w + 6*w + 10 = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 17*l**2 + 35*l + 4*l**2 + 5*l**2 - l**3 - 27 + 177.\nAnswer: -(l - 6)*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*a + 17, -19 = -4*a - a + 4*u. Solve -4 + 0 = 2*i + 4*v, 15 = -a*i + 3*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8375\/4037 + 6\/367. Find the common denominator of 55\/3 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:25 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.9 - 2.1. Let w = -36.9999 - z. Round w to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -51*o - 3. Let y be f(-2). Calculate the greatest common divisor of y and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -40*h + 5*c - 280, 4*c - 134 - 91 = -21 + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/8 - -1\/8. Let r = -0.08 + 0.14. Let p = r - 3.06. Which is the biggest value? (a) p (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(320)*-4 + 1 - (-6*-2*sqrt(5) + sqrt(320)*1 + sqrt(5)))**2.\nAnswer: 86*sqrt(5) + 9244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.129339 centuries to decades.\nAnswer: 1.29339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 661312?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5555351 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 8*c - 1. Let g be h(8). Let d be (-27)\/4 - g\/(-4). Let y = d + 29. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 39\/(-2)) + (-1)\/(-2). Let i = z + -15. Calculate the remainder when 9 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/9 and -7\/103?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2917 + 4967. Suppose 3*g - s = 2645. Suppose -g + 248 = -3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4 + (-101167)\/(-44). Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.248 - -11. Let i = 5056.7367 + -5057. Let j = q - i. Round j to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:35 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 2*u**2 - 6*u + 5. Let k be x(3). Let t be (k\/3)\/((-5)\/75). Let g = -24 + t. Put 5, g, -19 in ascending order.\nAnswer: -19, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -23, 4, 1\/5, 1\/3 in ascending order.\nAnswer: -23, -1, 1\/5, 1\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -7 (c) 3 (d) -3 (e) 7\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542380 and 91932?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9494 is divided by 216?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k + 601 - 201 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44253839, 44253843, 44253845, 44253845, 44253843?\nAnswer: 44253839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/102 and (6\/10)\/(60\/2350)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275 by 47.\nAnswer: 275\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3570*y**2 + 175*y - 350. Let t(a) = -41*a**2 - 2*a + 4. Let r(d) = 2*p(d) + 175*t(d). Let j(h) = -6*h - 2*h**2 + 6*h. Determine r(j(c)).\nAnswer: -140*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-122)\/(-8) - (-3)\/(-12). Let t = 18 - n. Solve 0 = t*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28788 is divided by 7163.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 5402?\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101966*u**3 - 10 + 43 - 101965*u**3.\nAnswer: u**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1764, 7560, 17214, 30720, 48072, 69264?\n\"Answer: -y**3 + 1935*y**2 - 2*y - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288261277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 264 = 260. Suppose k - 3 = 3. Suppose 2*w - 10 = -2*o, -k = 3*o - 5*w + 19. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58694550 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 12*w**2 - 14*w + 16. What are the prime factors of p(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -16*w**3\/3 + w. Let m be v(-3). Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 50 = -b, 2*b = -5*m - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 12*j**2 - 18*j**2 + 14*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 7*d**2 - 11*d + 11. Let a(g) = 3*g**3 - 4*g**2 + 6*g - 6. Let j(o) = -5*a(o) - 3*q(o). Let s be j(2). Let n = s - 3. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2903 + -4844?\nAnswer: -1c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020314166 to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)\/(j*((j**18*j*j)\/j)\/j))\/(j**(2\/21)*j**12) assuming j is positive.\nAnswer: j**(-1243\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4849 = 24*g - 2375. Suppose 9*i + 271 = 2*h + 8*i, 2*h + 5*i = g. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2\/5 (b) -183 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -114.7?\nAnswer: 22.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**6 + 11*v**2 + 2 - 6*v**2 - 9*v**2. Let b(d) = 29*d**6 + 15*d**2 - 9. Let o(z) = 2*b(z) + 9*f(z). Find the third derivative of o(g) wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91631 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(5\/(-10)))\/1. Solve -5*v = -j*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58159*d + 20108 wrt d.\nAnswer: 58159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -125*i**2 + i + 5. Let w be l(-2). Find the common denominator of -111\/20 and -1 + (2\/8 - w\/(-140)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344116971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 58048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 < 21538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.8. Let z = 4.3 - 4. Let v = z + b. What is the nearest to v in 0.5, 5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.05 (c) 0.217 (d) -7 (e) 2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001462394 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 369? (a) -0.06 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414220246 is divided by 6233.\nAnswer: 6231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 62 + -75.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 14600781?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 948 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 254 - 200. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986947.\nAnswer: 13, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 4*f - 3. Let c be b(-4). Let p = -17 - c. Let j = 1 + p. Solve 1 = -2*r + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**4 - 3*o**5 + 5476*o - 832*o**2 - 4193*o**2 + 855*o**3 - 7*o**4 + 3524*o.\nAnswer: -3*o*(o - 5)**3*(o + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-561825)\/66*(-36)\/27.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.338039 minutes in days?\nAnswer: 0.04467919375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -559*o**3 - 8*o**2 + 4*o. Let i(w) = 558*w**3 + 6*w**2 - 3*w + 1. Determine 4*i(v) + 3*q(v).\nAnswer: 555*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*j = g - 40, -5*g + 2*j = -140. Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -35?\nAnswer: 41\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11227 + -0.67517. Round l to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k**3 + 2*k**2 - k + 2. Let v(j) = 1303 - 627 - 3*j + 5*j**2 + 17*j**3 - 671. Calculate -10*c(i) + 4*v(i).\nAnswer: -12*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 12.7. Let v = 0.27 - 0.17. Which is the closest to v? (a) -1\/4 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/2520 + m**6\/360 + m**5\/60 - 5*m**4\/24 - 4*m**2. Let d(n) be the second derivative of o(n). What is d(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 105987, -0.3, -16, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/(7\/35). Suppose x*v - 2*v + 8 = 0. What is the lowest common multiple of (1 + v)\/((-6)\/44) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*699\nAnswer: 349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (-2 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:44 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111344 - 143022?\nAnswer: -254366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 2*p**2 - 2*p + 5. Let t(b) = 2*b**3 + b**2 + 7*b - 2. Let v(u) = u**3 + 6*u - 3. Let m(c) = -3*t(c) + 4*v(c). Determine -2*m(f) - 3*z(f).\nAnswer: f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Let p be w(-6). Suppose -p*c + 3*c = -6758972. Let q = -1979486 + c. What is q rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -147. Suppose 3*h = 5*j + 898006, y*j - 5*h = 7*j + 359190. Round j to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -10*y + 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + n = 12, 4*o = -0*n - 2*n + 8. Let m(f) = -f**3 + 5*f**2 - 5*f + 6. Let q be m(4). Suppose -p + 45 = 3*g + q*p, o*g - 60 = 4*p. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o**4\/4 + 393*o**3 + 325*o**2 - 1800584*o - 7182960 = 0.\nAnswer: -346\/3, -4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*w - 2937028 = -17*w. Put 4, w, -3 in descending order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78911284619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17449648217 and 2.\nAnswer: 17449648219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -12. Let n = 31 + -15. What is the remainder when n is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2736 = 191939*j - 191996*j for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (4\/14 - (-86)\/(-7)). Which is bigger: n or 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 7*a**4\/24 - 23*a**2. Let p(x) be the first derivative of x**2\/2 + 3. What is o(p(r))?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24062 times -5\nAnswer: -120310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - 2. Suppose -2*s + 0 = 2. Which is the nearest to 0.1? (a) 9 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.970217 decades to months.\nAnswer: 596.42604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46844595 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 73 = -29 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x**2 + 7*x + 6. Let b(u) = -7*u**2 + 6*u + 5. Let j(y) = -4*b(y) + 3*r(y). Let k(z) = -z**2 + 4*z + 2 + 3 - 3*z**2 - 2. What is -3*j(c) - 2*k(c)?\nAnswer: -4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 212701 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: Solve 4*k - 4*l - 142 = -138, -3*k = -4*l - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(140))\/((sqrt(180)\/sqrt(3))\/sqrt(6)))\/(((-2*sqrt(2) - sqrt(2)) + sqrt(2))*-1 - (sqrt(98) - sqrt(98)*2)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 42*v - 40*v. Let u be (0 + 24)*(-1 + 2). Suppose 5*y - u = v*y. Solve -5*s = -s + y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*k - 4*k - 13909 + 13939)*(3 - 1 - 3)*(-4 + 2 + 3) to g + w*k and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14214 is divided by 214.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/51099595 or 0.1?\nAnswer: -2\/51099595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x + 5*x + 7332. Let d = -72 - x. List the prime factors of d.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 1610078?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 266607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 2 - 2*a**2 - 7*a + 0. Let x(i) = -i**3 + i**2 + 3*i - 1. Let n be x(-2). Does 13 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -80. Let u be f\/(-8)*-2 + 18\/4. Solve -u*h + 5*b = -37, -h + 0*b - 2 = b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1879904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 6*i - 7. Let n be z(5). Let g = 4 + 0. Suppose 0 = b - 0*b + 3*a - 27, -g*b + a + 43 = 0. What is the greatest common divisor of n and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50122370783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 296*y - 9780.\nAnswer: (y - 326)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - -71. Let w = z + -63. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-7)\/3 - -3). What is the derivative of 0 + b + 0 - r wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dfac117 - 4?\nAnswer: dfac113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567.\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177453 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/140 - (-2)\/(-8)*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 14*i**4 + 244\/3*i**3 + 144*i - 99 + 4\/5*i**5 + 168*i**2. Factor k(r).\nAnswer: 4*(r + 1)**2*(r + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4964 is divided by 4848?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 + 16*x - 4. Determine o(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 505 + -472. Suppose 2*y = -u + 21, y + w = -5*u + 57. Solve y*v - p = 6*v - 1, -3*v - 11 = 4*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k - 212. Let c be u(-12). Suppose -5*f + 14 = -1, -5*f + 17 = z. Solve z*t - 14 = 5*r, -c*r + 7 - 29 = 2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i - 2105*i**2 + 2103*i**2 - 6*i + 2*i + 8. Let d be o(2). Solve 0*s - 1\/3*s**d + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*f + f - 34, 0 = -3*f - 15. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 14. Let q(x) be the second derivative of -x**5\/20 + x**4\/2 - 5*x**3\/6 - x**2\/2 - 34*x. Calculate q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1021950861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -231.98, 0, -9\/8, 7\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.944 - -0.044. Let k = -1990 - -1989.099. Let l = b - k. What is l rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let i(r) = 8476726*r. Give h(i(g)).\nAnswer: 71854883679076*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/5 + 26*s\/5 + 24\/5 = 0. Calculate s.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 2*m**3 + 316 - 644 + 331 + m**2 to h*m**2 + b + c*m + l*m**3 + w*m**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, n: 1, k: 2}. Give prob of sequence skk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294110 and 7911559.\nAnswer: 79115590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -116*0.24\nAnswer: -27.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 517893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -12*l + 126. Give h(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115525*h**2 + 57765*h**2 + 57758*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44781\/35 - 8952\/7. Which is the closest to -0.07? (a) 2 (b) t (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -9\/207986 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + d**3 + d**3 - 4*d + (-d**2 + 0*d**2 + 2*d**2)*(-4 + d + 4) - d**3 + d**3 + 3*d**3.\nAnswer: 6*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*i = -5*v, i = 4*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14995\/11 + -1363. Which is the nearest to 0.1? (a) -0.01 (b) -2\/5 (c) -5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**2 + 3*l - 3. What is i(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + y**2 + 2. Let h(r) = r**3 - 57*r**2 - 4. Determine -h(d) - 2*s(d).\nAnswer: d**3 + 55*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 5370112?\nAnswer: 102032128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160.17 - 160. Which is smaller: y or 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z - 6. Let f be r(5). Put -3, f, 6, 7 in increasing order.\nAnswer: -3, f, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**3 - 2 + 89\/12*s**4 - 73\/2*s**2 + 2*s. What is the derivative of p(z) wrt z?\nAnswer: 178*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 25 = -22 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w**3 + 54*w - 79*w**2 + 0*w**3 + 162*w**2 + 3*w**3 - 110*w**2 = 0 for w.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(2\/5))*a**2)**(1\/66))**(-44))**2 assuming a is positive.\nAnswer: a**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 30. Let k(g) be the third derivative of -g**5\/20 - 4828*g**2. Calculate k(p(i)).\nAnswer: -3*i**4 - 180*i**2 - 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -321, -365, -437, -537, -665?\n\"Answer: -14*d**2 - 2*d - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 6. Let n be y(-7). Let f = -12 + 5. Let r = f + n. Solve 4*s + 0*s + r = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398250 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 33.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 21*a - 39. What is the tens digit of v(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 + -92. Suppose -2*m + 0*s + y = s, 5*s = -5*m - 5. Solve -3*z - m*t = 3, 3*t + 11 = z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (901\/6)\/((-20)\/(-25461)). Let o = m - 1671784901\/8745. Let v = o - 1\/4664. What is the common denominator of v and 125\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/3 - (6 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 6*j - 5. Calculate h(8).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 0 + 2\/3*s**3 + 0*s + 8\/3*s**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 101 - 55 = 0. Let w(d) = d**2 - 15*d + 29. Let m be w(v). Solve -m*u = -0*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/9)\/(-4 - 77\/(-22) - (-33 + 31))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-39))\/2)\/((38775\/(-94))\/(-165)).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196 - -199. Let o be 17\/k*51\/(-17). Suppose -14 - 18 = 2*d. Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a factor of 85587740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 - 2*f - 1. Let a be -3*3\/9*1. Let l be m(a). Let x(k) = k**2 - 8*k + 11. What is the units digit of x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 509319508 a multiple of 1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26923715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73014 divided by -43.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 327, -3\/4, 68?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 2\/17, 6, 0.5, -0.4, 1\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100624 is divided by 634?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*o - o + 10, 5*o - 3*g = -26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -79*b + 511. Give n(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 0.48. Let w = -27.6 + 28. Let p = 5 + -2. Which is the third smallest value? (a) w (b) -1\/2 (c) p (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)\/l)\/l*l*l**(-2\/15)*(l\/(l*l*l**1\/l*l*l*l*l))**(1\/2))\/(l\/l**(-2\/11)*l**(-5)\/l*(l**(1\/3))**(-27)) assuming l is positive.\nAnswer: l**(2041\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/60*1*((3 - 20) + 3). Which is the nearest to -2? (a) -3 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*p**2 - 3*j*p + 28*j + 2*p**4 - 60*p**3 wrt p.\nAnswer: -4*j + 24*p**2 - 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1079\/15 + 72. Is q greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.39 + 27.466. Let m = -20.5 + j. What is m rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:27 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three quarters of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 16 = 49*s. Let k(g) = g**2 + 6*g - 2. Let r be k(-5). Which is greater: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/90 + 25*r**4\/54 - 26*r**3\/27 + 7*r - 33. Let l(n) = 0. Calculate n.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 84, -8, 2\/17, -0.176?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 13*h + 2*h - 1 + 0. Let s be n(4). Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*s + 518*s - 4365 = 0. List the prime factors of s.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.15 - 2.1. What is m rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - l**2 - 5*l - 8. Let u be x(-6). Let n be u\/33 - 2\/(-6). Let m be n\/(-5)*15\/(-3). Solve -2*z + 0*z + m = -3*o, -2*z = 3*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (6 - 9\/2)*2. Let c(j) = -j**2 + 3*j + 9. Calculate c(h).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188423334 and 28380?\nAnswer: 1884233340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 + -325. Let s = n + 110. Let m = 661\/7 + -95. What is the closest to -1 in -0.3, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -536 + 555. What is the second biggest value in 3, 1\/4, 1, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/((-10)\/((-30)\/6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -33 - (-6 + 2). Suppose 3*y = 10*y - p. Suppose 0 = -4*j + y*v + 22, 15 = 4*j + v - 19. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.524221030762 + -1\nAnswer: -3.524221030762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 3)*(f**2 - f + f) + 4*f**2 + 0*f**2 - 3*f**2 - 3800*f - 408*f**2 + 3800*f)*(5 + 0 - 4) as v + n*f + o*f**2 and give o.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**2 - 4*n**2)*(-2*n - n + 2*n) - n**3 + 0*n**3 - n**3 + (22 + 10 - 11)*(-n**3 + 3*n**3 - 3*n**3).\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((576\/54)\/16)\/((-1)\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/12 + 29*z**3\/6 + 25*z**2 - 3. What is the remainder when 44 is divided by f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 1992\/120 - (-6)\/(-10). Let u = 9 - -23. What is the greatest common divisor of d and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/3777580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1. Let p(x) = -2*x - 2. Calculate -2*c(k) + p(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.04 * -23.\nAnswer: 207.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 396644300.3 less than 140?\nAnswer: -396644160.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*s**2 - 91*s**2 - 91*s**2 - 99*s**2 - 100*s**3 + 12 wrt s?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*b - 29*b + 373*b - 51*b + 286*b as n*b + q and give n.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7*c - 582 = 0. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*q + 33, 47*q - 19 = 5*f + 44*q. Put 32, 1\/10, f in decreasing order.\nAnswer: 32, 1\/10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssiswfws. Give prob of sequence iw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125588 and 4306?\nAnswer: 270390964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*v + 121*v = 100 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 7. Suppose -78 = -5*f - 73. Let n = 6 + -4. Which is the closest to f? (a) 0.2 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + k**3 + 0*k**3)*(k - 2 + 2) + 103*k**4 + 487*k - 487*k.\nAnswer: 104*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apzx when four letters picked without replacement from {x: 4, p: 2, z: 10, a: 3}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718909458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -317, -812, -1671, -3074, -5201, -8232, -12347?\n\"Answer: -30*j**3 - 2*j**2 - 279*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216865128?\nAnswer: 2, 3, 9036047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 10098452*f\/3 - 111082730\/3.\nAnswer: -2*(f + 11)*(f + 5049215)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(300\/30)\/((-3)\/1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 129*t + 5165. Let p be c(-40). Suppose 3 = -0*n + n. Solve -n*j - 30 = -p*y - 0*j, y = 3*j + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*i + 6 - 41, -13 = -k - 4*i. Suppose 5*f = k*n - 50, -3*n = -0*n - 5*f - 22. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u*(u\/(u**5*u))\/u)**(-1\/57) assuming u is positive.\nAnswer: u**(-1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7044043, -7044055, -7044067?\n\"Answer: -12*h - 7044031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 - 51*j - 13. Let y(g) = -g - 1. Let p(w) = h(w) - 2*y(w). Let n(b) be the first derivative of p(b). Differentiate n(m) with respect to m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 14. Let c be v(8). Suppose 2 = c*b + 2. Suppose -2*h + 298 + 2 = b. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/675, -3\/14, -2\/3, 1 in ascending order.\nAnswer: -2\/3, -3\/14, 2\/675, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*t**3 - 13*t**3 + 8*t**3)*(t**2 + 0*t**2 + t**2) + t**5 + 4*t**2 + 6*t**2 + t**5.\nAnswer: -34*t**5 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/99 in -0.1, -366, 0.3, -10, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*w - 355*w - 8 + 8.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1445957760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 201 = 197 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 644273402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81594513.\nAnswer: 3, 7, 11, 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -772 + 812. Does 40 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(-3)*6\/(-6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 5, -37 in decreasing order.\nAnswer: 24, 5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 953497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1. Let b(o) = -2*o - 5. Suppose -8*m - 5 = 11. Let y be 0 - -5*m\/10. Let k(p) = y*b(p) - 5*x(p). Let c(r) = -13*r. Determine k(c(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjq when three letters picked without replacement from ttqjttjqttjttjj?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2154838\nAnswer: 8619352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*u**5 + u**3 - 197*u**2 wrt u.\nAnswer: 2820*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9971*u**6 - 4*u**4 - 3908*u**2?\nAnswer: 1196520*u**3 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 3.71.\nAnswer: 18.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26686 to three decimal places.\nAnswer: -1.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -144, 2\/3, 13, -2\/7, 0.02?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(102)*-4 - 3*sqrt(102)*-1))\/(sqrt(384)*4*2).\nAnswer: -3*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 6*a**2 + 6*a**2 - 9*a**2 + 13*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.092 - -0.492. Let i be 126\/88 - 4\/22. What is the nearest to 1 in i, -1\/4, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -4, 4 in decreasing order.\nAnswer: 12, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 52*x**3 + 92*x**2 + 44*x.\nAnswer: 4*x*(x + 1)**2*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27974*d + 27977*d - 3*b - 33 = 0, -2*d - 2*d = -4*d - 33*b - 363 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/4)\/1)\/(422\/5908)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5728603 (base 10) in base 12?\nAnswer: 1b031b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026 is divided by 275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 1}. What is prob of sequence xxu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 3*v + 187 = 496, -4*v = 2*f - 62 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 14*d**2 - 15*d + 2. Let k be f(-15). Solve -5 = 3*a - k*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:29 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:19 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2. Let f(j) = -j + 3. Determine 7*a(k) + 4*f(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 79*u + 252 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1524, 1525, 1526, 1527?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 - a + 4. Let n(c) = 12*c - 4*c**2 + 49 - 52 - 11*c. Suppose 2*s = -2*o, -5*o - 8 = 3*s - 0. Give o*n(x) - 3*g(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1638*s - 63905. Determine w(39).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3152 - 3487. Do -5 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 + 22*l**2 + 113*l**2.\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497 + 775. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from aaaiaiaaiaa?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:42 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6424*t - 1. Let m(i) = 11*i. Determine m(u(c)).\nAnswer: 70664*c - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 20. Suppose -f = -w + 6 + 14, -w - a*f = -25. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*m**3 - 6*k*m**2 + 3629489*k - 12*m**2 + 58*m wrt m?\nAnswer: -3*k*m**2 - 12*k*m - 24*m + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 15*n**2\/4 + 6*n + 9.\nAnswer: -3*(n - 2)*(n + 1)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(8\/5)\/b*b)\/b)\/b**(-8))\/(b**(-2\/19)*(b*b**(-5\/3))\/b) assuming b is positive.\nAnswer: b**(2956\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -12210?\nAnswer: 12133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**2*m - 365936*g**2 - 47082*g*m + 63*m wrt g?\nAnswer: 14*m - 731872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412418103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.98 - -51. Put q, 2, 2\/5 in increasing order.\nAnswer: q, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, 2766 in decreasing order.\nAnswer: 2766, 18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*j + 10 = 0, 0 = 5*a - 0*j + 3*j + 25. Sort 5, 3, a, 4.\nAnswer: a, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h + 9. Let m = -4 - h. Suppose -53 = -m*z - 3. What is the remainder when 19 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 9 = -3*n, -15 = -4*c + 5*n. Suppose 0 = -c*m - 5*m + 15. Solve -q = m*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, i: 2, w: 2, h: 1}. Give prob of sequence ajw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(448) + 3 + -3*sqrt(7) + -5.\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 185*o + 1190. What is the smallest common multiple of 14 and f(-5)?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6356 + 8736. What is the greatest common divisor of l and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2068*u + 2064*u + 1840 = 0. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2600136\nAnswer: 13000680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5202 (b) 0.1 (c) 2 (d) 51 (e) -7 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*p**2 - 14*p**2 - 29 + p**2 + 7 wrt p?\nAnswer: -50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l - 4835 - 495 = -39*l - 96*l for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(((-25560)\/480 - -53)\/((-2)\/12*1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/2111 (b) -0.2 (c) -9\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*a - 6*a + 818, 624 = 3*x + 2*a. What are the prime factors of x?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(((1*sqrt(28))\/sqrt(4) - sqrt(7)) + sqrt(700)*-2) + 3.\nAnswer: -480*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 1.9. Sort -5, k, -1\/5.\nAnswer: -5, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 + 234 - 471 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 - -207.193. Let z = -99.807 - q. Let x = 99.9889 + z. Round x to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 14 + 26. Let t(v) be the second derivative of -v**5\/10 + 5*v**4\/12 + v**3\/2 + v. Let d(n) = n**3 - 3*n**2 - 2*n. Determine u*d(f) - 3*t(f).\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - u**4 - u**4)*(0 - 2 + 4)*(2 - 3*u - 2).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 6*d + 10. Let m be k(8). Let z = m - -10. Suppose 2*y + 98 = z*t, y - 5*y = -2*t + 52. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - -84?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195457392 and 1872?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(d**3 + 0*d**3 - 6*d**3).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -52*h + 1466. Determine o(34).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q - 3*q)*(-2*q**2 + 1 - 1).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1079988 and 5136.51?\nAnswer: 1085124.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21099.9 * 11.\nAnswer: -232098.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -567*s**2 - 2 + 192*s**2 + 189*s**2 + 195*s**2 - 164. Let m(k) = -3*k. Determine m(i(v)).\nAnswer: -27*v**2 + 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-5)\/(11 + -6). Suppose -t - 3*o + 974 = 0, -v*o - 555 = -t + 379. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let k be a(9). Let l = k + -6. Suppose -8*t**2 - 5*t**3 - 3*t**2 + 2*t**2 - t**l + 5*t**4 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 307 = 3*u - 4*f, -4*u = -2*f - 426. Suppose 0 = 31*c - 326 + u. Calculate the remainder when 34 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t. Suppose 12*v = 18 + 6. Suppose -c - 4 = 3*y, 4*c - 5*y + 4*y - 10 = 0. Let s(b) = -4*b**v + 4*b**c - 4*b**2. Calculate u(s(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 85026\/37 - (-7)\/((-7)\/(-6)). What is the highest common divisor of f and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-5)\/(-30))\/(5\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -11, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201\/218 or 134?\nAnswer: 201\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/12 - 11*p**3\/6 + 29*p**2\/2 + 1192*p. Calculate l(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -41*p**8\/56 + 3*p**4\/2 + 29*p. What is the third derivative of k(a) wrt a?\nAnswer: -4920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154855?\nAnswer: 5, 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 35.89567 hours?\nAnswer: 129224412000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (8 + 0 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(68\/(-16) - -4). Let t be 5\/(300\/(-54)) + (-1 - -2). Which is the nearest to -14\/3? (a) p (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/3))**27\/((k*((k\/k**(-1))\/k*k)\/k)\/k)**(-2\/59) assuming k is positive.\nAnswer: k**(2657\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 3*u**2 + 11*u**2 + 20*u - 13*u**2 - 15*u. Let f(w) = w. Determine h(f(a)).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3731*c = 3725*c. Solve -k + c*k - 2*m - 6 = 0, 2*k - 4*m = 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.66 from -3.\nAnswer: -8.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**2 + 62*g**2 - 8*g**2 + 68*g**2 + 48*g**2.\nAnswer: 195*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 15568*h**3 + 2*h**2 - 9*h + 9. Is t(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/69)*k)\/(k**(8\/11)\/k))\/(k\/(k\/k**18*k)*k*(k*k\/k**(-1))\/k) assuming k is positive.\nAnswer: k**(-14236\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.8838 litres in millilitres?\nAnswer: 627883.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/4 (b) 1 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g + 1\/9*g**2 + 1\/18*g**4 + 4\/27*g**3 - 53. Solve h(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -23. Suppose -3 = -q*n + 1065. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/(-33)*(-96591)\/(-5854).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 1. Let r be (48\/h)\/(2\/5). Let g(p) = p - 6. Let u be g(9). Calculate the greatest common factor of u and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.92.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 5460*j**2 + 521703*j.\nAnswer: -3*j*(j - 91)*(j + 1911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -9*c - 200. Suppose c = 10*b - 6*b. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*k + 393*k - 132*k - 129*k - 152 as n*k + x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*j + 35. What is the tens digit of j\/5 + (-5145)\/(-25) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*52\/195 + (9 - 1*-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/9446912 and 49\/24.\nAnswer: 28340736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 66183064.\nAnswer: 1389844344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625799?\nAnswer: 61, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/186 and 3\/2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.063 - 3.1. Let r = 78 + -78.04. Let g = r - b. What is g rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 29. Let t = -43 + y. Let g = t + -45.0046. What is g rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*y + 342*y - 20059 = 42995 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 83\/166*4\/9. Which is the closest to 2\/11? (a) 12 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*x + 76, -142 = -3*z + 5*x - 4*x. Suppose 1841 = -39*p + z*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4425 - 4471.62. What is z rounded to zero decimal places?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.1, -1\/50, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 8728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 24. List the prime factors of g(-18).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/36*72\/(-30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6343 (base 8) to base 13.\nAnswer: 166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/63 and 71\/5571?\nAnswer: 38997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2481*f*k**2*z**3 + 4*f*k**2*z**2 + 7*f*k**2 + 230*f*z**3 + 2*f*z**2 + 6551*k**2*z**2 - 5*k**2 wrt z?\nAnswer: -14886*f*k**2 + 1380*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 7*q - 5. Let r be i(8). Let w be -2*(3\/r + -2). Solve 6 = -4*b - w*v, -b - v = 4*v + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 4, a: 4, g: 1}. What is prob of sequence lg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 158, -2\/537, 2, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*s - 2*s = 3812, 7642 = 4*i + 2*s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -60*l**5 - 1132*l**4 - 5188*l**3 + 1852*l**2 + 5248*l - 720 = 0.\nAnswer: -10, -9, -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2 + 401*d + 58. Determine q(57).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(14) + sqrt(1134)*-1)\/(((sqrt(175) - (sqrt(175) + -1*sqrt(175) + sqrt(175) + sqrt(175))) + sqrt(175) - sqrt(175)) + (-2*sqrt(448) - sqrt(7))).\nAnswer: sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -166812.\nAnswer: -166821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 9*y - 4. Suppose -2*o = -3*g - 36, 19 = -5*g - 5*o - 16. Let h = y + g. What is h rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwwy when four letters picked without replacement from pyirwwu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klklwlkk. What is prob of sequence kwk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 33. Let z be (h\/7)\/((-8)\/(-28)). Suppose 4*x + d = -x + 146, -2 = -z*d. Calculate the remainder when 113 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*385\/15 + -4. Suppose -2*i = -3*i + 4. Suppose 29 = i*n - 211. What is the highest common factor of d and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (38\/(-6))\/((-5)\/30) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - v - 72, -2*m + 0*v + 132 = v. What is the greatest common divisor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) -2\/9 (c) 42\/545 (d) -78\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let z(s) = -2*s**2 + 700*s - 6139. Let v be z(9). Which is the biggest value? (a) 0 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 10 + (-6)\/1. Let r = -1707\/11 + 155. What is the nearest to -0.1 in q, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 13. Let j(z) = 4*z**2 + 2 + 0*z**2 - 1 + 0 - 3*z. Let x be j(2). Let s be n(x). Solve 14 - s = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-684)\/(-15) + 12\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**7\/315 - a**5\/45 + a**3\/9 - a**2 - 17*a + 85. Let j(x) be the second derivative of y(x). Factor j(u).\nAnswer: 2*(u - 1)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 10*o + 10. Suppose -3*j = j - o*j. Factor 3\/5*d**4 + 0*d + 0 + j*d**3 - 3\/5*d**2.\nAnswer: 3*d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 53 + 220. Suppose 5*j + 435 = 5*c, -3*j - g = -c - 0*c. Suppose -o + 35 = 3*r, -3*o + 5*r - c = -6*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 831 and 2.00128?\nAnswer: 1663.06368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26227 is divided by 2908.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 419568 + 8.\nAnswer: 419576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 + 0.23. Let o = t + -0.61. What is the biggest value in 3\/5, -1, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/28*((-2196)\/(-915) + (-46)\/20).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.84181 to one dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (801 - 801 + 53*j)*(2*j**4 + 3*j**4 + j**4).\nAnswer: 318*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*(-15 - (-94)\/6).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*a - 3, a - 5*g - 3 = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -20*c - 188. Calculate b(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - o + 8. Determine z(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 701501.2 centuries in years?\nAnswer: 70150120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 7 = -5*b. Let l(o) = -o**3 + 3. Let n be l(0). Calculate the highest common divisor of n and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*j = -3*j + 15, -4*x - 4*j + 36 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(1 + -9). What is the third derivative of 4*p**4 - 6*p**w + 7*p**2 - 4*p**2 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(70\/15))\/(648\/31536)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/3*(-432)\/420\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3274198, -6548395, -9822594, -13096795, -16370998, -19645203, -22919410?\n\"Answer: -i**2 - 3274194*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9390?\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.1 - -6.676. Let s = w + 0.624. Which is the smallest value? (a) -4 (b) -22 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206946767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*g + 8, 0 = 3*g - 3*y + 4*y - 16. Suppose -3*a = -j - 5*a, 5*j = -g*a + 24. Suppose j*s - s = 4354. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z + 185*z + 151*z as h*z + r and give h.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 4*c + c - 4*c + 3*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*s**4 - s**2*v**3 + 62*v**3 wrt s.\nAnswer: -28*s**3 - 2*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291 - -289.21. Let a = h + -0.05. Let s = 1.8400077 + a. What is s rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -8 - 38. Let y(o) = -x + 63*o - 113*o + 51*o. Let c(p) = -6*p + 10. Let q = 13 + -2. Calculate q*y(b) + 2*c(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5*(-30)\/325)\/(-1))\/2. What is the nearest to 0.2 in x, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 5, -3, 2, 98531 in decreasing order.\nAnswer: 98531, 5, 2, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898893388?\nAnswer: 2, 224723347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 762 + 35. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 2 (c) -3\/2 (d) 4\/9 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*l = -n - 14, -3*l - 7 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7*t = -2*t + 9, 4*t = -3*c - 3. Solve c*s - 2*s = -2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 + 0.555. Let o = i - -0.045. Which is bigger: o or -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-12747596\nAnswer: 25495192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let q(z) = -8*z**2. Let l be 6\/30*5*1\/(-1). Let j(y) = 3*y + 1. Let o(u) = -8*u - 4. Let a(s) = l*o(s) - 4*j(s). What is a(q(g))?\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/285 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 + 125 - 178)*((1 + 1 - 1)*(4*f - 4*f + 2*f**2) + (0*f + 0*f - 2*f)*(-6*f - f + 4*f)) in the form y*f**2 + r*f + c and give y.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -8. Let n = -0.5 + 0.5. Which is the closest to u? (a) n (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386.0725m to nanometers.\nAnswer: 386072500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 18 + 24)*(-2 + 0 + 0)*(-1 + 2*a + 1).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -69 (b) 0.3 (c) 1\/27 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 2}. What is prob of sequence lt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28145*c**3 - 3*c + 10189 wrt c?\nAnswer: 168870*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 52*g**2 + 128*g - 80.\nAnswer: 4*(g - 10)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*p + 2*w - 11, -5*w = -2*p + 10. Let y be (-3 - (6 - 29)) + 4. Suppose 0 = p*l - t - 25, 2*l = 3*l - 4*t - y. Solve -2*a = -l*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(120) - 1*(sqrt(120) - 2*sqrt(120)))\/sqrt(12))\/(6*sqrt(80)*6) + 3).\nAnswer: sqrt(2)\/18 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.329786 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/2))**(-1\/55)\/(f**(1\/7)*f**(-6)))\/(((f*f*f\/(f\/(f\/(f**(-1\/3)*f))))\/f)**(-44)*(f\/(f**0\/f))**(-1\/12)) assuming f is positive.\nAnswer: f**(74686\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 3*d, 10*f - 15*f = -4*d + 3. Suppose 0 = a + d*k + 8, -2*k - 3 = -5*a + 5. Suppose 24 = 4*u - 8. Solve a = 5*n - u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*p + 1635475*c**2 + 12*c*p - 39330*p - 43 with respect to c.\nAnswer: -4*c*p + 3270950*c + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56178*t**2 - 28091*t**2 - 1149 - 28089*t**2.\nAnswer: -2*t**2 - 1149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**7\/105 + d**6\/15 - d**5\/15 - d**4\/3 + d**3 + 40*d**2 - 3*d. Suppose j(r) = 0. What is r?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (1 - (17 - 5)) - (2 - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(0 + 2)*2805\/10. Calculate the common denominator of (2\/28*-4)\/(66\/y) and 69\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 198*44\/(-396)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.618 - -2.968. Let u = 3.05 - q. What is the nearest to -2\/7 in 3, 4\/5, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249033 is divided by 9322.\nAnswer: 6661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Let s be (-94)\/8 + 15\/(-60). Let z be -10*1\/s - 1. Sort -1, -0.2, r, z in descending order.\nAnswer: r, z, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-84))\/(12\/(-9) - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48495 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1230)\/2091)\/(14\/1547*-1)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7.8. Let o = -0.9 + n. Which is the nearest to 0.2? (a) 5\/2 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -28*c - 33. What are the prime factors of f(-7)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 5*c**2 + c - 3. Calculate the remainder when 33 is divided by k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16590, 66261, 149044, 264933, 413922, 596005, 811176, 1059429?\nAnswer: 1340758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 3. Let z be n(4). Put -2, z, 0.5 in decreasing order.\nAnswer: 0.5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 19*t + 7. Let b be j(8). What is the greatest common divisor of 31 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9073195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Suppose 2*o + 3*o + 5*w - 30 = 0, -h*o + w + 38 = 0. Solve -x + 3*q = -2 - o, -7 = -x + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8794*g - 8775*g - 228 = 0. Solve 2*i - 6 = 4*v, -1 = -3*i - 8*v + g*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11784)\/192 - -55) + 2 + 4. Let w = 1.6 + -1.53. What is the closest to -0.1 in w, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0.5, -4, 2, -29, -5 in decreasing order.\nAnswer: 2, 0.5, 0.03, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8410 + -8351. Solve 11 = u*z - 48 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -49808\nAnswer: 4980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*-3.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c + 4. Let r(g) be the second derivative of -2*g - 7\/6*g**3 + 0*g**2 - 1\/3*g**4 + 0. Let q(s) = -3*s**2 - 6*s. Calculate c*r(d) + 6*q(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*g**2 + 5*g + 33*g**2 + 75*g**2 to d*g + y + r*g**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44266 + 44268. Factor 0*u**4 - 2\/9*u**5 + 0*u + 0*u**w + 0 + 2\/9*u**3.\nAnswer: -2*u**3*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21649 + 21646. Sort 12, -4, c, 1, -1.\nAnswer: -4, c, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i + 7. Let w be r(4). Suppose 3 = -q - 0*q - 2*a, 5*q + 2*a = 1. Let x = q - w. Let c(p) = 3*p**2 - 3*p. What is c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355 and 14981.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w**2 - 23*w**2 - 2*w**2 - 848*w - 1226178 - 2284*w + 38*w**2 = 0. What is w?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.5 (c) -0.1 (d) 3 (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 21379894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1239 by 413.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22328143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -210 + 757702\/3636 + (-10)\/(-4).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724502 to the power of 1\/2, to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/179 - 149\/895. Which is the nearest to -0.3? (a) 1 (b) o (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1265236 (base 9) to base 11\nAnswer: -433519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -5*x**4\/6 - 3*x**3 - 35*x**2. Let l be q(-1). Which is the smallest value? (a) 0.14 (b) l (c) -2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 813.5685 years?\nAnswer: 9762.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n + 150 - 73 - 74. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10*7)\/7)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3629 and 2101.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*i - 42 = 3*i, a - i = -10. Let r = 1 + a. Let h(l) = l**2 + 11*l + 4. Let c be h(r). Solve -3*y = y - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 33*a - 13\/3*a**3 - 11\/6*a**4 + 0 - 2*a**2. Factor w(v).\nAnswer: -2*(v + 1)*(11*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/7)\/(4\/(-1))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/81740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 560*f + 2565. What are the prime factors of r(18)?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43465729990 - -0.3?\nAnswer: -43465729989.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -321191 divided by 10361\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a - 79. Let z be v(7). Suppose -63*q + z*q = 25. Solve -b = -3*m - 1 + 18, -5*b - q = 5*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + j - 3*j**2 + 0*j**2 + j**3 + 2 + 3. Let w be q(4). Which is the closest to 0.1? (a) w (b) 5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11676.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Let r(m) = 72*m + 690. Give g(r(t)).\nAnswer: 144*t + 1380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 57. What is the tens digit of d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(42\/9)*-2. Let w be ((-30)\/10*n)\/((-6)\/(-4)). Solve -c - w = 3*h + 2, h - 3*c - 14 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a factor of 134865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 191 (c) -1\/6 (d) -5 (e) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46505 and 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822476 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07192 + -0.28408. What is g rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/13 + 198*c**4\/13 + 4998*c**3\/13 + 4802*c**2\/13.\nAnswer: 2*c**2*(c + 1)*(c + 49)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*s**4 + 361*s**4 + 448*s**4 + 2*s**3 + 269*s**2 - 267*s**2 - s**3 as o*s + a*s**2 + v*s**3 + f*s**4 + u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (801\/(-178))\/(6*(-5)\/10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 40094*f**2 + 10*f + 40083*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b - b**2 + 0 - 1\/3*b**3 + 1\/24*b**4. Calculate j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*k + 133*k - 11277 = 67*k - 34645 for k.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*a - 8 + 1 = 0, 4*a + 11 = -5*p. What is the tens digit of 4 + (-1 - (-84 - p))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -0.4 (c) -9 (d) -2 (e) -0.5 (f) 2968\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 5*i + 2. Calculate c(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -m - 10, 5*y - m + 89 - 71 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b (base 12) in base 13?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and -75\/38327368.\nAnswer: 114982104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w + 8*w + 0*w + 8*w in the form a + k*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**7\/210 + q**6\/12 + 3*q**4\/4 - q**3\/6 - 2*q**2 - 2. What is the second derivative of y(v) wrt v?\nAnswer: -12*v**2 + 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5031849854.\nAnswer: 2, 37, 401, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2666334?\nAnswer: 2, 3, 11, 71, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15333828404 plus -18022?\nAnswer: -15333846426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -4*z - 78, 0 = z - 5*h - 7. Let n = 32 + z. Suppose 105 = 3*d - 5*o, -3*o + 155 = 5*d + n. What is the highest common factor of d and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400.58775357 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c - 12. Let z be k(-15). Calculate the highest common factor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -146268*g**2. Let o(y) = -18*y**2. What is w(o(u))?\nAnswer: -47390832*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 53*y. Let i be p(1). Suppose 0 = m - 5*m + 3*t + i, 3*t + 20 = m. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 23*o**2 + 40*o + 38. Let a be l(21). Let d = -43 - -35. Put 0.1, 2\/5, d, a in increasing order.\nAnswer: d, a, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*j**2 + 148 - 145 - j**4 + j**3 + 0*j + 2*j in the form n + g*j + b*j**2 + p*j**4 + o*j**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 12*r + 630. Suppose -2*k + 0 = 4. Let h(j) = j**3 + 2*j**2 - 3*j - 1. Let c be h(k). Calculate the highest common divisor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9529931 and -9529931 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 11, o: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 19*y - 79 + (0 - 2*y + 0)*(-2 - 1 + 4))*(3*y + 2*y - 7*y)*(4*y**3 + 4 + 0*y**3 - 3*y**3).\nAnswer: 42*y**5 + 168*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 5*o)*(-1 + 0 - 1)*(4 - 1 - 1)*(1 + 1 - 8).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 32637855*o + 355076526333675\/2.\nAnswer: 3*(o - 10879285)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 0, 54 = x - 3*i + 18. What is the greatest common divisor of 852 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 32. Let t be k(14). Let i be t\/10 + 8\/(-10). Let j(c) = 5*c - 7*c + c + i + 2*c. Calculate j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177897841 to the nearest integer?\nAnswer: 13338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5 = 0, -2*l = g + 34 - 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -14 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1373807*k*n**3 + 3*k*n**2 - 5274040*n**3 wrt k.\nAnswer: 1373807*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 697, 693, 687, 679, 669, 657, 643?\n\"Answer: -o**2 - o + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(38)\/(sqrt(2) + sqrt(8)*1) + sqrt(475) + (sqrt(475) + 0 + 5 + sqrt(475))**2 + sqrt(475) + -4.\nAnswer: 331*sqrt(19)\/3 + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 611, 639, 687, 755, 843, 951, 1079?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - g = -0*x - 395, -g + 594 = 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/11)*y**(-18) assuming y is positive.\nAnswer: y**(-194\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111001101010111111 (base 2) to base 8.\nAnswer: 3715277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 2*r - 2. Let p be h(-2). Let t be 1\/(-2) + (-13)\/p. Let s be 44\/t - (4 + -2). Which is greater: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/3 + 1840*j\/3 - 1232.\nAnswer: 4*(j - 2)*(j + 462)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167.5, -4, -3\/7 in ascending order.\nAnswer: -167.5, -4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - -279. What are the prime factors of g?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 4 - -1*1. Suppose 0 = -f + 11*j - 10*j + 13, -5*f + 73 = -3*j. Solve -15 = 5*t - b*i, t + 4*i + 8 + f = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((3 - 0) + 0 + 31 + -29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -39 - (-1 + -2)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 5:28 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v = -9065 - 113199. What are the prime factors of v?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003124 is divided by 111457.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56729505, -56729504, -56729503?\n\"Answer: c - 56729506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1599\/9 - 1\/(-3). Suppose 241 = -4*p - 5*v, 4*p + v + i = p. Let y = p + 90. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1786704 = 530*b - 534*b, 0 = -5*b + x + 2233342. What is b rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025955 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*d*x**3*z - 2*d*x*z - 2*d*z + 6*d + 834138*x**4*z + 640573*x*z + 2*x wrt x?\nAnswer: 426*d*x*z + 10009656*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -6221215?\nAnswer: 6221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.4 minus -1566647.6?\nAnswer: 1566875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 347993000 to the nearest 1000000.\nAnswer: 348000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 2*d - 7. Let g be v(-4). Let i = g + 14. 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 prob of sequence tt when two letters picked without replacement from {h: 5, d: 1, i: 3, t: 3, n: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 40*g - 48. Is (-32)\/g*(-939)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -0*d + 2*z + 8, 0 = d - z - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/910 and 71\/819.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3974, 3\/8?\nAnswer: 3974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.4. Sort k, 2, 2\/13 in descending order.\nAnswer: 2, k, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 16 - 22 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 3\/43 (c) 5 (d) -17 (e) -0.5 (f) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.68 + 0.08. Let t = -0.8 - a. What is the second biggest value in -0.5, -1, -2, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4192\/11528*11\/(-2)*2\/(8\/78)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/10*(-15)\/2. Suppose 4*i - 5*w - c = 25, -2*i = 2*w - 44. What is the highest common divisor of 34 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 12. Let q = 2 + k. What is the remainder when 17 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/145*-3)\/((-12)\/(-160))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 4*g - 697\/6.\nAnswer: (g - 17)*(g + 41)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1 - (-6 - 36\/(-8)). Let d be 4*(-2)\/104*-2. Let q = 3.93 - -0.07. Which is the closest to p? (a) d (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 2 - (7 + 18 + -35).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from wwwgyyyygyygyyyyywyy?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 26*y + 2006. Let t be h(-77). What is the highest common divisor of t and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v**2 + 6*v**2 + 2 - 11*v**2 - 6*v in the form x*v + g*v**2 + h and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 2*r**3 - 4*r**4)*(0*r + 0*r + 2*r) + (-2 + 0 + 1)*(4*r**2 + r**5 - 4*r**2).\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 521, 428, 333, 236, 137?\n\"Answer: -r**2 - 90*r + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002180.6 months in centuries?\nAnswer: 835.1505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i**3 + 0 + 0*i + 115*i**2 + 1\/4*i**4. Let n(g) be the second derivative of -2*g**4\/3 + g. Determine y(n(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113393.963 + 113441. Let u = c - 47. Let p = 0.036828 - u. Round p to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35199, -35230, -35261, -35292, -35323, -35354?\n\"Answer: -31*a - 35168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*2*-6 + sqrt(1408) + 5*(sqrt(1408)*2 - sqrt(1408)) + sqrt(1408))\/(sqrt(128)*-3 + -5*sqrt(128)).\nAnswer: 5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4847.7988 to 0 decimal places.\nAnswer: -4848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*r**3 + 341*r**2 wrt r.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (((-8500)\/(-952))\/(-125) + 1194\/(-140)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*x + 727*x - x**2 - 1455*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 1 - 2*p + 0. Suppose 3*y + 0*k = 5*k - 2, -k + 4 = 0. Let h(s) = -7*s - 6. What is y*j(t) + h(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + 93*(-38)\/114.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 9:42 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-11 - -6 - (-7 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503 - 820 = -121*w + 530 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33406.\nAnswer: 2, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5368 by 488.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 31 + 1. Is (-3)\/z*2*-124 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 - 10*d - 40*d**2 + 13*d**2 + 5*d**2 + 22*d**2.\nAnswer: 15*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 38 - 67 = 0. Let p = -38 - g. Let l = p - -34. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 6. Calculate v(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66435520.\nAnswer: 2, 5, 29, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 - 3*w**2 + 2*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*x - 7 - 29, 5*v + 2*x + 27 = 0. Let s = -2 - v. Calculate the highest common factor of 45 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 10*d**2 + 14*d + 9. Let b be y(8). Let v(w) = w**2 + 8*w + 4. Let s be v(-6). Is s greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 75. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 (base 13) to base 5\nAnswer: -4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322.5 + 322. Let k be 5 + -9 + 2\/2. Sort j, k, 1, -5 in increasing order.\nAnswer: -5, k, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(28 - 4175\/150)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5754 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 88. Let b(u) = -4*u**2 + 14*u**2 + 9 - p*u - 6*u**2 - 5*u**2. Calculate b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4340504.\nAnswer: 2, 7, 77509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Suppose 0 = -2*m - 3*z - t, 3*z + 22 = 2*m - 0*m. Let r(u) = 6*u + 2. Let g be r(3). Calculate the greatest common divisor of m and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 3*g - 25. Let l be z(-6). Let c(x) = -x**2 - 7*x + 4. Let a be c(l). Suppose 3*r + 4*q = -r + 136, -130 = -a*r + 2*q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23462*x**5 + x**4 + 47*x**3 + 4*x**2 + 11*x + 3460.\nAnswer: -1407720*x**2 + 24*x + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)\/(-4 + 0). Let n be 1\/(-2)*(-8)\/28. Let w = 31 - 31. Which is the closest to j? (a) -4 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.2 - -27.2. Which is the nearest to k? (a) -5 (b) -0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560 (base 13) to base 6\nAnswer: 4135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:36 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4 + 19*x - 2 - 13 - x**2. Determine w(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174780, -174732, -174602, -174348, -173928, -173300, -172422?\nAnswer: -171252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6 - -5 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5883*i - 5892*i + 11778*i + 2*u, -3*i = -23*u + 127 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1286\/745 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(1\/46)\/((x*x**(-6))\/(x**7*x)) assuming x is positive.\nAnswer: x**(597\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-66 + 62 - (-2 + 11)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 11858.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (6 + -3 + 0)) + (3 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1038 or 0.4103?\nAnswer: -1038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 7555275\nAnswer: 1\/2518425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13803b - -6?\nAnswer: 138042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 7.18. Let r = 0.82 + f. Let u = -7 - -12. What is the fourth biggest value in 2\/9, 0, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 5*r + 5. Let s be -7 - (-1)\/1*2. Let b be u(s). Solve 0 = -5*y - 3*l - l + b, -2*y - 2*l = -14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 25 = -3*j, 58 = -3*j + z + 78. Suppose 4*v - s = 13, 2*s = -4*v - s + 9. Suppose 0 = -q + a - v, -2 = -j*q - a + 1. Solve -g + 0 + 2 = q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 897 take away 32850.326?\nAnswer: -31953.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17371486.\nAnswer: 2, 11, 23, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 5) in base 6?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 - 210*o**2 - 1145*o - 1410 = 0 for o.\nAnswer: -3, -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = 33*k - 583584. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.49l in millilitres?\nAnswer: 533490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.71 + -4.31. Let j = w + 8. Let x = -0.42 - j. Round x to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 594202.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2262546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i - 5*i - 18*i**3 + 7*i**3 as a + o*i**3 + j*i + z*i**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -38 - (-6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 0)*(5\/(220\/12))\/9\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 14*k - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/117 + 10199\/468. Let n be ((-1)\/2)\/((-1)\/(-834)). Let a = n + 1300\/3. Find the common denominator of c and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12400 + 12223 + 20*l - 21*l. Let v(a) = -8*a. Give v(k(f)).\nAnswer: 8*f + 1416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 99287, 1, 0, 55 in decreasing order.\nAnswer: 99287, 55, 1, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 14, -58, -1 in descending order.\nAnswer: 14, -1, -3, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3680305, 3680298, 3680285, 3680266, 3680241, 3680210?\n\"Answer: -3*a**2 + 2*a + 3680306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 255637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/174 and 75\/116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.3 + -25.3. Let r = -18 + 17.94. What is the fourth biggest value in -0.2, o, 0.1, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-27)*(1 + 2). Let n = -2 + -2. Let g = m + n. Solve g = 2*z + y + 2, 12 + 5 = -3*z + 2*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*s + 2*v + v + 31, v - 5 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81382490 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + r - 5, 0 = -4*q - 4*r + 34 - 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 895, 1342, 1789, 2236?\nAnswer: 2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x. Let h(t) be the third derivative of -5*t**4\/24 - t**2. Give h(o(n)).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -363 + 365. Let o = 221\/5 + -44. Put -2, o, a in descending order.\nAnswer: a, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621*i**3 + 289*i**3 + 1944*i + 2039*i - 3983*i.\nAnswer: 1910*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/10260)\/(11\/(110\/24)).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*w - 1 + 1. Solve 13*k - 14*k - 2 = w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/500 and 51\/2372.\nAnswer: 296500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 58. Let t be f(-15). Solve -4776 - t*r + 17*r + 4794 + 3*r**2 = 0 for r.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 h when three letters picked without replacement from cochkiooccccccko?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 684411.017 to the nearest one hundred.\nAnswer: 684400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41384462239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/4 - 24573*c**2\/2 + c\/4 + 24573\/2 = 0. Calculate c.\nAnswer: -49146, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-3 - (-51)\/18)*3. Suppose 5 = c*h + b, h - 6*b = -4*b - 10. Sort -23, -5, h in decreasing order.\nAnswer: h, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 = 3*s + 238. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 + 0 = -4*i, 2*i = -3*v + 8. Let m = -36 - 11. Let p = m - -46. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 + -45516563?\nAnswer: -45516723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 7*g - 19100705*g**3 + 19100713*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 460247214.757 and -0.2?\nAnswer: 460247214.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -67. Suppose -q - 3*q + 3264 = s. Suppose 5*g - q = -g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 3*z + 1415 = 1286, 2*z - 65 = -3*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 19*h - 20. Let x be a(-20). Let b = 46 + x. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151.3 + -151.296624. Round k to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/l**(-4\/9))**(-44)*((l\/(l*l*l**(-1\/4)*l))**(2\/87))**(-1\/10) assuming l is positive.\nAnswer: l**(-1250459\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14742 + 674 + 7342 - 26551 - 6679)*(-2 + 2 - 1)*(-4*q + 3*q + 3*q) in the form s*q + i and give s.\nAnswer: 79912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 508556910 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*l + 2*k + 4 = 100*l, 25 = -3*l + 4*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44361 (base 7) to base 4.\nAnswer: -2232132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 72, 106, 140?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6264592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.097 and 4725449.84.\nAnswer: 4725445.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 2*x = -32. Suppose x*c + 1 = 17. What is the second derivative of c*v**2 + 12*v**2 + 6*v + 13*v wrt v?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2878 is divided by 134?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 + 7*y - 7. Let n(c) = -c**2 - c + 1. Let v(a) = j(a) + 6*n(a). Let l(w) = 5*w**2 + 2*w - 3. What is l(f) - 3*v(f)?\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*s + 10, 3*t + 2*s = -2*s + 14. Let c be (-2 - 1)*t\/(-3). Find the third derivative of 3*a**3 - c*a**2 - 5*a**3 - a**3 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*d + 417 - 1500 = 1635 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*m - 125*m = -17962. Suppose 0 = 3*t - 6, 0 = -4*o + 7*t - 2*t + m. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Let s = 154 - 150.88. Let l = s - 0.12. Which is the smallest value? (a) x (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2*o**4 + 2*o + 6 + 3*o**4 + 4*o. Find the first derivative of x(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3044\/10 - ((-282)\/(-30) - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-171)\/(-6). Let o be -14*(20\/z + -1). Solve 0 = -f + o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19753 or 19758?\nAnswer: 19758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 245*o + 492. What are the prime factors of j(7)?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49978, 49979, 49980, 49981?\nAnswer: 49982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 16200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -210*c**3 - c**2 - 2*c - 1. Let g be l(-3). Let n = g - 3933. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 * 5.7\nAnswer: 41.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 9 - 12 + 7159*k + 13.\nAnswer: 7159*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 9, 11, 13, 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -5, 0.4, 34 in decreasing order.\nAnswer: 34, 0.4, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -38*h**2 - 80*h - 8. Give i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -717, -1066?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 2. Let r be j(-2). Suppose 5*l = -38 + 58. What is the closest to -2 in l, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 2*j**2 - 775. Let c be x(0). Let u = c + 1113. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 4860 = 27*s. Solve -18*k = -3*k - s for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/21)\/(356\/1335)*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 13\/5, -0.56, 0.4 in ascending order.\nAnswer: -0.56, 0.2, 0.4, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (3*(-12)\/(-9))\/2 - -64.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 122, 2, 17047 in increasing order.\nAnswer: -19, 2, 3, 122, 17047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 671*x - 601*x**2 + 4225*x**2 - 2005*x**2 + 4587*x**2 wrt x?\nAnswer: 12412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - -2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*k = 16, 2*k - 1946 = -4*u - 1958 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caa when three letters picked without replacement from zzzzcqzzaqqzzzqaz?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(s**4 - 4 + 0 + 2).\nAnswer: 4*s**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d - 998 + 454 + 10*d + 544.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540.0242 months in millennia?\nAnswer: 0.12833535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-1) - ((-927)\/3 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 187.962 and -0.3?\nAnswer: -56.3886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-2 - (-13 + 24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 934735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, -116.13.\nAnswer: -116.13, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1288773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 977*5\nAnswer: 4885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344909 is divided by 753.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0 (b) 7 (c) 3 (d) -0.043 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 394\/2139 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s**2 + 11891*s - 35684. What is o(3)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81\/4 of a millisecond?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c**1\/c)\/((c**(-8)\/c*c*c)\/(c\/(c**5*c))) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -129\/22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*v + 2*f, 0 = -2*f. Solve v = -2*x - 5*i, -2*i = -5*x + i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525434980 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Let g be (-1)\/(-3) + (-32)\/p. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.3571903.\nAnswer: 1.4287612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/2)\/y*y*y\/y**(-5)*(y\/((y*y*y\/y**1*y*y)\/y)*y)\/(y\/y**3) assuming y is positive.\nAnswer: y**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11\/b**(-5\/7))\/((b\/(b*b*b**(-2\/7)))\/(b*b**(1\/19)\/b)) assuming b is positive.\nAnswer: b**(1660\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148.81 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**3*p**3 - 80*o**3*y + 30836*o*p**3*y - 2613*p**3 - 3*p wrt y?\nAnswer: -80*o**3 + 30836*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66083178.\nAnswer: 2, 3, 7, 19, 82811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + n**4 - 6 + 1 + 8 + 10*n as d + p*n + i*n**3 + o*n**4 + k*n**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8 - 0. Put u, -4, 4 in descending order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*q + 11 = -25, -3*v - q + 45 = 0. Let f(i) = -14 + v - i. Determine f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + 4\/(-48)*-28. Solve -6 = g - j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*k + 100*k = -42. Let g be k - -30 - (0 + 2). Suppose -95 = -3*b - g. What is the highest common factor of b and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-510)\/54 + 9 + (-11 - (-358)\/36).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 - 3*b**2 - 4. Let k(o) = 6 + 9 + 3 + 13*o**2 - 9*o**3 - 11 - 8*o**2. Let x = -7 - -2. Let d be (2\/4)\/((-2)\/12). Calculate d*k(l) + x*q(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 471424962522 - 4?\nAnswer: 471424962518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2 - 2*r - 3. Let t(i) = -4019*i**3 + 1128*i**2 - 2*i - 6. Let f(y) = 2*j(y) - t(y). Find the third derivative of f(a) wrt a.\nAnswer: 24102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:11 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 5 + 0 - 2*l + 4*l + 0 - 1. Let v be 13\/(-5) + (-4)\/10. Calculate a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (6 + -9)) + -20 - (-11 + -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756064.7 millilitres to litres.\nAnswer: 756.0647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 124292*o + 1 + 124268*o + o**2 - 4*o**2 to the form d + m*o + h*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24225 + 10451?\nAnswer: -13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(-1\/5)\/v))\/(v\/(v\/(v\/v**(-5)*v))))**(-3\/22))**(-23) assuming v is positive.\nAnswer: v**(-1311\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/10 - 2*h**3\/5 + 2*h**2\/5 - 14. Factor i(k).\nAnswer: 2*k*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-30) - (-5)\/((-50)\/(-104)). What is the greatest common divisor of 310 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 7*f - 31. Give b(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4158 and -199\/116340.\nAnswer: 11517660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 33. Let x(a) = -20*a + 97. Calculate 17*v(q) - 6*x(q).\nAnswer: q - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 + g + 0 - 3*g - 2*g**2 + 3*g**2. Let p be q(1). Suppose p = -h + 2*h - 9. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4133 (base 5) to base 8\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 95 = -25*y. Let f(s) = s**2 - y - 5*s + 43 + 47. List the prime factors of f(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 12*x - 80287 = -4*h, 3*h = -x + 26764. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17.088. Let i = -0.25 + 0.202. Let p = q + i. What is the closest to 0 in 5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -4 - -6*(-8)\/(-6). Let y(t) be the first derivative of 1\/9*t**3 + 0*t - 15 + 1\/12*t**b + 1\/24*t**4. Let y(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.047335.\nAnswer: 0.018934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - i**2 + i - 1. Let j be u(1). Suppose 50 = 2*c - 4*s, -5*s = 3*c - 22 + 2. Suppose c*m - 75 = -0*m. Put j, 4, m in increasing order.\nAnswer: j, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 - 184.74. Let i = 22 + -22.26. Let w = i + f. What is the nearest to -2 in 9, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 201?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-21)*2*2\/(-10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14*(-7)\/(-3)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 9\/7 (c) -9 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134122, -268228, -402334?\nAnswer: -536440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 8 = -9*b. Let d = 7 + b. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(2448)*3)**2 + ((sqrt(153) - sqrt(17)) + -3 + sqrt(17) - -2*sqrt(425)).\nAnswer: 13*sqrt(17) + 3172605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1539) + -2)**2 + (-1*(sqrt(19) + -1)**2 - 2*sqrt(76)) + ((sqrt(19) - (sqrt(19) + sqrt(19)*3)) + 5 + sqrt(171)\/(4*sqrt(9)))**2 + -2.\nAnswer: 13*sqrt(19)\/2 + 27035\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/13 - 2*-1. Suppose y*d = 3*r + 742, -2*r - 2*r = -3*d + 553. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.7. Let n = 19.5 + -19. Which is the biggest value? (a) 5 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 190*y**2 + 377*y - 304. Calculate v(-93).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - 5 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/6 - d**3\/3 - 7*d. Let m be 0 + (-6)\/3 + 5. Let a be (2\/m)\/(6\/(-9)). Let s(v) = v**3 - v**2. Give a*q(z) + 2*s(z).\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17006062 and 640461?\nAnswer: 5207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10*a + 9 = 11*a, 0 = m + 7*a + 27. Put m, -3, -26, 1 in descending order.\nAnswer: 1, -3, m, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -50, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-76)\/(-57))\/((-8)\/(-250854)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w)*((-2 - 3 + 4)*(3 - 3 + 2) + 4 - 1 - 1 + 0 + 1 - 2 + 4 + 2 - 5 + (2 + 1 - 5)*(-1 + 2 - 3) + 2 - 3 + 2 - 5 + 0 + 3 + 0 + 1 + 0).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00412839717 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -s + 2643, 3*m - 1027 = s + 950. List the prime factors of m.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 234768 - -85232. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20862, -20877, -20896, -20919, -20946, -20977?\nAnswer: -21012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*p = 298 + 477, -2*p + 622 = 4*t. What is the remainder when t is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2186, -4721, -7256, -9791, -12326?\n\"Answer: -2535*w + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9140067 centuries?\nAnswer: 0.09140067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -228 - -a?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*l + 29 - 5, 46 = 3*l + x. Factor 1281*w**2 - 1282*w**2 - 1 + l.\nAnswer: -(w - 4)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 times 0.0318\nAnswer: 6.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156391930 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-2) + -5 - -70. Suppose -y = -4*t - 21. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39236205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ca8 (base 13) in base 7?\nAnswer: 43636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66200?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + g = -9*v + 52, 72 = 2*v - 4*g. Calculate the remainder when 686 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -15. Let b be (-6)\/n + (-7)\/7. Suppose -12*r + 16*r = -4. Sort b, r, -4 in decreasing order.\nAnswer: b, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59, -106, -131, -128, -91, -14, 109, 284?\n\"Answer: d**3 + 5*d**2 - 69*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:27 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4665133326.\nAnswer: 2, 3, 7, 97, 1145099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2000958697 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2\/4 + 2205*a\/4 + 19035\/2 = 0. What is a?\nAnswer: -423, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 29 = 3*g, 4*g - r - 182 + 199 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(320) - sqrt(320)*-3))**2 + (sqrt(25) + sqrt(225)*-5)\/sqrt(5).\nAnswer: 50*sqrt(5) + 5121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11174 = 2*j - 2*c, 3*c = 5*j - 27935. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -2. Suppose -10 = 11*c - l*c. Let x = c + 23. Calculate the remainder when 64 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 55*o = -18 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3\/4 (c) 38 (d) 3 (e) -5\/187\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let s = 60 - 40. Suppose -s = 2*r - 6*r - 4*q, -5*q + 1 = r. What is the highest common divisor of g and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 7062*q - 63796. Calculate j(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 2.8. Let c = -437.05 - -447. Let g = 10 - c. What is the second smallest value in -5, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3750430*g + 7500966*g - 3750501*g.\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 2*g + 526 - 261 - 247, 4*h - 9*g = 41 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 4*u**4 - 2*u**4)*(-2*u + u + 0*u) - 2*u**5 - 3*u**3 + 3*u**3 + (-2*u**2 + 2*u**2 - u**2)*(-4*u**3 + 4*u**3 + u**3).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:49 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -23)\/(22 + -17) - (-25)\/(-6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4134 rounded to one dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/28*(-6)\/26*8\/12?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2077084 by -23.\nAnswer: -90308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17791 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 261\/(-259))\/((-274)\/21 - (-1120 + 1107)).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 1196 + 1274 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4944)\/36*(-6)\/4?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + -47. Let u = -58 - y. What is the second biggest value in u, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 7*l - 105. Calculate the greatest common divisor of l and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11259*n**2. Let q(w) = 5763*w - 1. What is q(s(j))?\nAnswer: -64885617*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 479, 460, 407, 302, 127, -136, -505?\n\"Answer: -3*n**3 + n**2 - n + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3683*o + 3683*o + 2*o**2. Let w(d) = -3*d + 1. What is w(t(m))?\nAnswer: -6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8768.566 to zero dps.\nAnswer: 8769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(12 - 5 + 14)*(6*h**2 + 0*h**2 - 2*h**2) to x + m*h**2 + w*h and give m.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 55\/46?\nAnswer: 55\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52 - 3\/(-6)*-6. Let i = s - 42. Solve i*b - 10 = 9*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*v**3\/5 + 48*v**2\/5 - 32*v\/15 = 0. What is v?\nAnswer: 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 72403.23g in nanograms?\nAnswer: 72403230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2937812.8 plus 5.209728?\nAnswer: -2937807.590272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3630 or -102?\nAnswer: -3630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 28 (b) -0.715 (c) -4\/3 (d) -0.2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u = -217*u - 750 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33648451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0063209277 from -0.5.\nAnswer: -0.4936790723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758 is divided by 583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*p - 871696 + 857977 = 0 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -578757.8 rounded to the nearest one thousand?\nAnswer: -579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24951641 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from 0.01426537.\nAnswer: -13.98573463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178700 - -280939. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -2, -2222, -411\/7?\nAnswer: -2222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.41 - 0.04. Let t = l + 0.05. Which is the closest to 0? (a) 3 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*q - 145*q + 46 - 52 - q**4 to k + m*q + n*q**2 + b*q**4 + v*q**3 and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 1 + 19. Let v = p + -9. Let r(u) = 3*u + 5 - u**2 + v + 9*u - 7*u. Give r(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111025*r + 111162*r = 5480 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085*d + 1088*d - 117 = -3*f, -d = 11*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 3*o + 1 - 3*o - 3. Let n be v(7). Suppose n*a + 22 = 3*k, -2*k - 10 = -3*k + a. Calculate the smallest common multiple of k and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*t = -2*h + 6, -3575*h + 3573*h = -4*t + 28 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**7\/4200 + 13*n**6\/600 + 19*n**3\/6 - 103*n. Let a(i) be the second derivative of s(i). Find t such that a(t) = 0.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*f*o**2 + 7*c*f*o + 54*c*o**2 - 3*c*o + 15*f*o**2 + 2*o wrt f.\nAnswer: c*o**2 + 7*c*o + 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 386669*m - 35. Let w be l(15). Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762481.9g to nanograms.\nAnswer: 762481900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7392, -7291, -7190, -7089?\nAnswer: -6988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12799357458 less than -5?\nAnswer: -12799357463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*j - 6*j + 3*k, -16179*k = 3*j + 16176*k - 32352*k - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v - 5*b + 31, -12 = 4*v - 4*b. Suppose -m + 0*z = v*z - 12, 2*z - 24 = -3*m. What is the least common multiple of m and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 3*d - 2*l + 794, 2*d - 3*l - 409 = 0. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -342805.4 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxquusstxtsss. What is prob of picking 2 t and 1 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3299768 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3 + 2*v + 2*v - v - 15. Calculate the remainder when 47 is divided by f(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m + 94*m**2 + 11\/12*m**4 + 0 + 0*m**3. Let j(u) be the first derivative of u**3 + 1. Calculate j(n(a)).\nAnswer: 1452*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*h = -9352 - 203. Let m = 254 + -108. What is the remainder when m is divided by h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -79.955. Let t = -579.955 + 585. Let k = t + z. What is the smallest value in k, 4, -1\/4, -0.07?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668400008 to the power of 1\/2, to the nearest integer?\nAnswer: 25853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-14) + 240\/70. Solve -3*a + x*a = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 23 = -2*u + 5*l, -3*l = 15. Let x(p) = 8*p**2 + p. Determine x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 768 + 4\/3*z**2 - 64*z = 0. Calculate z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*m**3*u**2 + 22258*m**3 + 174*u**2 wrt u.\nAnswer: 102*m**3*u + 348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*x + 36, -3*x - 44 = -a - 2*x. Calculate the remainder when a is divided by 10\/15 + 64\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11167.2702s in days?\nAnswer: 0.1292508125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 4:39 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -15670*c**2 + 0 + 7*c - 5*c + 11022*c**2 + 0 as v*c + x + t*c**2 and give t.\nAnswer: -4648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 358785 divided by 315\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(605) - sqrt(605)) + -5)**2 + -1 - (5*(2 + sqrt(605) + sqrt(605)) + (sqrt(605) - ((sqrt(605)*-1 + sqrt(605))*3 - sqrt(605))))**2) + -1.\nAnswer: -86592 - 2750*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/63, 2, -0.2, -3\/2 in ascending order.\nAnswer: -3\/2, -0.2, 2\/63, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35780474 + 35781684.87015. Let d = -1210.5 + h. Let z = -0.37 + d. What is z rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/3)\/(p*p*p*p\/p**(5\/2)*p)*(p**(-4)*p)\/(p\/(p*p**(-1)*p*p*p)*p) assuming p is positive.\nAnswer: p**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100 - 43 - (6 + 40)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 6. Let y be 135\/12 + (-6)\/(-8). Suppose -y = 3*c - 5*c. Determine k(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/14776 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 484 - 480. Which is the nearest to 2\/3? (a) 0.3 (b) 0.2 (c) u (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143633529 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11425 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27235604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 5*s - 2*s - 4*s. Let q(y) = 5*y - 13. Calculate q(a(i)).\nAnswer: 5*i - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p - 3*p - 5*y, -2*p - 2*y = -20. Suppose -p*a + 178 = 8. Solve 3*r - a = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 8. Suppose 0 = -4*s + 3 + 5. Let f(x) = s*x - 3 + 2 - 5*x. What is f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 4*u + 3*u)*(-5 - 2*u - 3 + 0) + 2*u**2 + 1 - 1 + (-u - 4 + 4)*(-2*u - 2*u + u) in the form x*u + n + m*u**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18) + (98\/(-12) - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66815587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 689, 685, 667, 629, 565, 469, 335?\n\"Answer: -c**3 - c**2 + 6*c + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 30*l**2 - 34*l + 33. Let v be n(-16). What is the first derivative of -39793*y + v - 3*y**3 - 19*y**2 + 39793*y wrt y?\nAnswer: -9*y**2 - 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 3. Let t be f(-3). Let h(l) = l**2 + 9*l + 5. Let d be h(t). Find the second derivative of -2*v - 2*v**4 + d*v**4 + 0*v**4 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79130885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (6 - -4*(-144)\/(-64))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*r - 0*r + w, 4*r = 4*w + 44. Calculate the highest common factor of r and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -348*n**5 - 1010*n**4 + 828*n**3 = 0.\nAnswer: -207\/58, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.634825 litres to millilitres.\nAnswer: 4634.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 12 + 2*i**2 - 11 + 26*i + 21 - 11*i to x*i + z*i**3 + m + y*i**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 17 = -d. Does 12 divide d\/72 - ((-5991)\/27 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 40*o**4\/3 + 131*o + 1. Let f(v) = -6*v. What is f(t(p))?\nAnswer: -960*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-50)\/(-3700)). Solve 24*k - 83 = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2 + 65\/(-35)). Let z(o) = -o**2 - 9*o - 12. Let a be z(p). Let q be 6\/(-9) + 2\/a. Is -1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1892 divided by 22\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 7. Let x be p(-6). Let m(v) be the first derivative of 6*v**3 + v**2 + 2. Let d be m(x). What is d rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*b**4*m**3 + 1733*b**4*m**2 + 804170*b**2*m**3 + 2*b**2 + 29*m**3 wrt b?\nAnswer: -3504*b*m**3 + 41592*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 102*o - 101*o. Let d be (-30)\/o*(0 - 15). What is the greatest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a8 - -3?\nAnswer: -13a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 3*q + 3. Let i be m(3). Let h be (-51)\/4*40\/(-15). Let a = h + i. What is the highest common divisor of a and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (66453\/(-4))\/((-255)\/68 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d + 54*d = -17*d + 1890. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.469 and -118.\nAnswer: -55.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*v + 10 - 84*v + 167*v)*(-2*v + 6*v - v).\nAnswer: -18*v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15826 is divided by 248.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0 - 6 - 3*s + 5*s. Suppose -4*g = -3*c - 0*g + 4, -5*c + 18 = -g. Give q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*1 + 4)*1. Suppose -2*s = -4*s + h + 8, h = -c. Suppose s*o = 4*o - 31. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 23. Determine d(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6473 is divided by 341?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -38. Let t = l + -1. Calculate the highest common factor of t and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13457.006391 + -13457. What is f rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 23*s - 71 = -2*u + 40*s, 45 = 3*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -739\/126 - 41\/18. Let v be -1*25\/(-5) + -14. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbqb when four letters picked without replacement from bbbbqbqbqbqbqbqq?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 0 + 0 - 3*r**2 + 1 - 7 - 5*r. Calculate the remainder when 74 is divided by g(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = 2*b - 29, 3*u = 10*u + 6*u - 3*b - 89 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119617311.\nAnswer: 3, 11, 67, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9. Which is the closest to m? (a) 1 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -662\/3483 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1\/6*n**4 + 5*n**2 + 0*n + 0 + 0*n**5 + 0*n**3 - 1\/24*n**6. Find the second derivative of t(c) wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:20 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 424*c + 2. Let a be l(2). Round a to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0*h**2 + 16*h + 0 - 1\/2*h**3. Let z(i) = i - i + 2*i. Give z(k(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 429142 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnvnevdvev. Give prob of picking 2 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(36\/(-10))\/(-9)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5440750 and 1100586.\nAnswer: 963012750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 22*m**3 + 0*m**3 - 2*m**2 + 2*m - 2*m as g + n*m + c*m**2 + b*m**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, -1\/4, 5, -2.51, -3\/2, 2, 4\/3?\nAnswer: -2.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 21*t**2 + 20*t - 100. Let o be v(-19). Solve 228*z = o*z + 28 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279998*r - 349575*r + 287181*r + 755061*r.\nAnswer: 972665*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 2*n - 57 - 7*n**2)*(-9*n + n - n).\nAnswer: 63*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (-4 + sqrt(11) + sqrt(11) + 1)) + (sqrt(33)\/sqrt(3))**2*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*h + 70 = 0. Suppose -100 = -h*d - 0*d. List the prime factors of 628\/20 + d\/(-25).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.098 - -0.06.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182567873.\nAnswer: 182567873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1984*r - 648750. Determine a(-327).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5142.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - 4. Let c = 4.01 + -0.01. Let o = 7 - c. What is the third smallest value in o, m, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 26526*s + 185720. What is z(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 19. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1014342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**5 - 2\/7*q**3 + 0 + 1\/140*q**6 - q**2 - 53*q - 3\/28*q**4. Factor g(y).\nAnswer: 6*(y - 2)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scsssisjizssjjza. Give prob of sequence acjs.\nAnswer: 1\/2080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3ae28 (base 15) to base 2.\nAnswer: 101110000110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - i - 286 = 0. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - 44*a**2 - 101*a - 169. What is the remainder when k(27) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 694130 and 2296.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25668\/11 or 2334?\nAnswer: 2334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Let u(h) = -2*h**4 + 6*h**3 + 6*h**2 - 2*h - 2. Let r(j) = j**4 + j**3 + j**2 + j - 1. Let p(f) = l*r(f) - u(f). Factor p(k).\nAnswer: 4*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 317.63704 from -991774.\nAnswer: -992091.63704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -74 + (0 + -1)\/1. Let z = -28 - d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.1472660186?\nAnswer: -2.1472660186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - 27.05. Let l = o + 22. Let r be 1 + 5*2\/(-6). Which is the biggest value? (a) r (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 43.06. Let r = 0.24 + v. Which is the nearest to 2\/5? (a) -0.1 (b) r (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2346*k**6 + 2*k**2 + 1841*k wrt k?\nAnswer: -281520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69a + 3?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15045641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1463 + 149 = -6*r. Suppose 3*m - r - 213 = 0. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3 + 4 - 438*j - j**2 + 423*j + 0. Is t(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 3*u - 1. Let x be j(2). Let t be -3 + x + 6 + 1. Let w = -372 - -374. Solve -t = w*p + 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2376.\nAnswer: -1\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/(-231)*-5*126\/385.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - sqrt(7)) + sqrt(1008) + sqrt(1008) + 2)**2 - sqrt(42)\/(sqrt(6) + (1*sqrt(54))\/sqrt(9)).\nAnswer: 247*sqrt(7)\/2 + 6731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11802 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 16*o - 14*o. Suppose 0 = -0*x - 3*x. Suppose -20 = -x*v + 2*v. Is v less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3 + 2486*i**2 - 14970*i + 22482 = 0 for i.\nAnswer: -1249, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.2, 5, 0.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -11, 28, 57, 76, 85, 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 176, 322, 536, 824, 1192?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + (4 + 2 - (8 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133043 and -6?\nAnswer: -798258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s + 12. Let u be j(6). Suppose u = 5*f - 5*w - 410, f - 3*w - 77 - 7 = 0. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 6*h**2 + 7*h + 2. Calculate the smallest common multiple of 16 and j(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 40. Let l = -15 - -16. What is the closest to a in -1, l, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = -5*g + 975. Suppose 0 = 3*l + 3*z - 48, 81*l - 85*l + 4*z = -64. Calculate the greatest common divisor of g and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - l)*(7*l + 4*l + 24*l) to the form m*l + k*l**2 + r and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63288 divided by -6.\nAnswer: 10548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 22*s + 24. Let c be j(21). Suppose 2*o + 1 - 7 = 0. Solve -l - 4*p - 18 = -0*p, -o*l = -c*p - 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -8*j - 1760. Let v = 330 - j. List the prime factors of v.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/30 - r**4\/4 + r**2. Does 11 divide z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 0, 0.013, 60?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 580*h**6 + 2*h**3 + 4*h**2 - 2*h wrt h.\nAnswer: 69600*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/9 + (-6)\/9)\/(-2). Let o(x) = 2*x - 4. Let b be o(4). Put b, j, 5 in decreasing order.\nAnswer: 5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5318*y**2 + 1722*y**2 + 1829*y**2 + 1771*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 111 = -110. Let d be ((-1)\/(-2))\/((-2)\/(5 + m)). Determine x so that -2\/9*x**4 + 8\/9*x**d - 4\/9*x - 2\/3 + 4\/9*x**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47976.\nAnswer: 2, 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (224\/(-7) + -3). Suppose -d*b + 246 + 60 = 0. Calculate the remainder when 359 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -3\/2*a**3 + 0 + 0*a + 1\/60*a**5 - 7\/24*a**4 + 37*a**2. Determine o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -9, -5, 1, -1.\nAnswer: -12, -9, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/2 + -1 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 174 = 3*b + 57, 0 = -b - 2*o + 28. Factor 19*i**4 + 18*i**4 - b*i**4 + 3*i + 7*i**2 + 9*i**3 + 2*i**2.\nAnswer: 3*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 2*r**2 + 2*r + 1. Let o be q(3). Let s be 202 + o\/3*-3. Let f = s + -1432\/7. Which is the closest to -0.2? (a) -4 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2485\/497*(-36)\/10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/13 + -57\/26. Let j = 21137 - 422641\/20. Find the common denominator of j and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2403011 - 1?\nAnswer: -2403012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.19*922987.\nAnswer: 1098354.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 140*a - 557. Let r be b(4). Let o be (-3)\/6 - (-11)\/2. Suppose -3*s + o*m = -342 + 141, -r*m - 268 = -4*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a + 8. What are the prime factors of -201*2*5\/(-15)*a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804\/(-737) - (-111674)\/22?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 385 + -359. Suppose -2*v - 73 = -203. What is the greatest common divisor of v and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 5. Let h = -14 + p. Let z = 5.997 + h. What is z rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*(d**(2\/3)*d)\/d)\/d))**(-35))**39*((d**4\/d)\/d**(-2\/3))**(-20) assuming d is positive.\nAnswer: d**(-1585\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 161499520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27301 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 + (6 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/20 - 1\/(-5). Which is the closest to 1? (a) 0.2 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/69 - -53\/276. Which is the biggest value? (a) u (b) 2\/5 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8930178 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*w - 8*w + 16, w - 2*i = 7. Suppose 2*v = w*v. Solve -4*j + 2 - 10 = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from bwrbsrnywwb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a + 235*a**2 + 5 + 203*a**2 - 8*a + 450*a**2. Let p be g(-15). Round p to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.439 + 7.439. What is the second biggest value in q, -1\/1604, 1\/9?\nAnswer: -1\/1604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -954, -1430, -1906?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 954 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102661121 - 112?\nAnswer: -102661233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and -40285480.95.\nAnswer: -40285494.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281 is divided by 757.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (12 + -40 + (-13 - -24))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 824234529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**5\/20 + c**4\/6 + c**3\/3 - c**2\/2 + 4*c. Calculate j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 3:26 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 37.3. Let w = g - 8. Sort 0.4, w, -2.\nAnswer: -2, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 41, 81, 137, 209, 297?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8684 is divided by 426.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -0*n - 6*n - 0*n. Solve p = n, -2*k + 5*p - 71 = -61 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 2*z. Let s be b(4). Let f be 18*-2*1\/(-6). Let a be (s\/f)\/(12\/18). Is 0.3 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -268*p - 47*p - 25863 + 40668 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 7*j**4 - 2 - 3*j + 4*j + 3*j**4 + 0*j - 71*j**2 + 121*j**2 in the form q*j + s*j**3 + m*j**4 + i + c*j**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 2*l + 8*q, 2*l + 21 = -4*q - 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 15. Let f be p(-17). What is the derivative of 33*c**f - 12*c**2 - 21*c**2 - 4 + 117*c**3 wrt c?\nAnswer: 351*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 1, n: 7, m: 6}. What is prob of picking 1 n, 2 v, and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**5 - c**2. Let m(d) = 9*d**5 + 72*d**4 + 129*d**3 + 108*d**2 + 51*d + 9. Let n(b) = 4*m(b) - 28*p(b). Factor n(w).\nAnswer: 4*(w + 1)**3*(4*w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 5*g**3\/6 + 21*g**2\/2 + 20*g. What are the prime factors of h(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9408\/72)\/(4\/6). Is 197 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**2 + 10*l - 1. Calculate t(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 151. Let k be 16 - -5 - 27\/3. Solve w = -5*l + 15, -k = -4*p - 2*l + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687415963 to the nearest integer?\nAnswer: 26219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/35*(-7340)\/6606?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5303*t + 2730*t + 154380 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0*y**3 + 49\/20*y**5 + 0*y**4 + 4*y + 0 + 0*y**2. What are the prime factors of q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2087660 by -1043830.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**3\/3 - 4*c**2 + 8*c - 5. Let k(a) = -a**2 - 3*a + 3. What is 8*k(t) - 3*m(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.9 - 55. Put 0, o, -1\/2, -1 in decreasing order.\nAnswer: 0, o, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -965*x. Let u(c) = -4*c**2 + 2*c + 512. Give o(u(q)).\nAnswer: 3860*q**2 - 1930*q - 494080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -2. Suppose -z*c - 3*b + 4263 = 0, -5*c - 5*b = -2*c - 2561. What are the prime factors of (4 + (-13)\/3)\/((-2)\/c)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from ppappppa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -69982 divided by 4?\nAnswer: -34991\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let f be h(-1). Suppose 0 = -l + 4*i - 11, 4 = l - f*l + i. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - k = 2*x - 5, -5*x - 3*k + 13 = 0. Let v be (3 + 0)\/3 - -1. Suppose -6 = v*u - 0*u. Sort x, u, 5.\nAnswer: u, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-261)\/348*(-4)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12696 divided by -3.\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (5 + 2*sqrt(18)) - sqrt(18))**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 2*w - 7. Let y be d(-5). Let -19*b - 48 - y*b**2 + 4*b**2 - 22*b - 11*b = 0. What is b?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Let d = -2 - l. Suppose -9*i - 20 = -14*i. Which is the third smallest value? (a) d (b) i (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 607146*c**2 + 196*c - 9439.\nAnswer: 1214292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434267 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 v when four letters picked without replacement from {i: 3, u: 4, v: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143752308*c**2 + 74840170 with respect to c.\nAnswer: 287504616*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 6*v**5\/5 - 112*v**4\/5 + 352*v**3\/5 - 332*v**2\/5 + 26*v\/5 + 12 = 0.\nAnswer: -1\/3, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223410834.2 rounded to the nearest one hundred thousand?\nAnswer: 223400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 20*v + 13. Suppose 6*x - 7*x = -18. Let g be q(x). What are the prime factors of 4\/7 + 5803\/g?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b (base 16) to base 5.\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-8))\/((-7)\/2254237). Let i = o - -40252. Let f = i - -19\/8. Calculate the common denominator of f and -25\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-2067)\/(-9) + (-49)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/2)\/w*w)**(-29)*(w*(w*w**5)\/w*w)\/w**(-3)*((w\/(w\/w**5))\/(w\/(w*w\/w**(1\/10)*w*w)))\/(w*w**(-2\/7))**(1\/4) assuming w is positive.\nAnswer: w**(-7669\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmlimmimiwma. What is prob of picking 1 w and 1 a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.789873 litres?\nAnswer: 5789.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**3 + 4*j**2 + 12*j + 10. Let s be f(-4). Let b be 10\/(-8) + s\/264. Let -8\/17 + 10\/17*k - 2\/17*k**b = 0. What is k?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 + r. Let t(h) = 3*h**3 + 5*h**2 + 7*h - 4. Let f(j) = 6*d(j) - t(j). Let z be f(-4). Let o = -38 - z. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = -26*z - 153 + 90 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/36*(-12)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1517 - 14.\nAnswer: -13.8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-68.\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d + 3*j = 18, -3*j = -4*d + 9. Which is the closest to -1? (a) 1\/5 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 22*x. Let u(p) = -p**3 + 4*p**2 - 3*p + 2. Let l be u(3). Let b(i) = -i + 0*i + i - i**l. What is b(o(a))?\nAnswer: -484*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 51*u**3 + u**2 - 5*u - 5. Let i(j) = 51*j**3 + j**2 - 4*j - 4. Calculate 5*i(p) - 4*y(p).\nAnswer: 51*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 3*j + 9 = 0, 10 = 5*r - 4*j. Suppose -5*w + 5*d + 15 = 0, 2*w + r*d - 2*d + 24 = 0. Let o be (w\/3)\/(1\/(-33)). Which is greater: 21 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 413 = 401 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/24 + 40*y**3\/3 - 89*y**2. What is the remainder when u(31) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-189))\/(-2*8\/(-432)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*k + 8, 8 = -5*j - k - 15. Let p = j - -13. Let x = 60 + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*f + 280*f - 234 = 0. Let j = f - 53. What is the remainder when 96 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/120 + (-5)\/20. What is the closest to y in 2\/5, -2\/3, 0.07?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taqtqattaatkq. What is prob of sequence att?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) -0.3 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(17) - sqrt(187)\/sqrt(44) - (-1 + sqrt(17))*1))**2.\nAnswer: -2*sqrt(17) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-18))\/((2\/(-4))\/(75\/50)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 500656291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1721 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 498 = -14*y. Calculate the greatest common divisor of 8400 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6*p + 4*p - 18*p)*(-5*p**3 + 2*p**3 + 2*p**3) as o*p + v*p**4 + d*p**3 + n*p**2 + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 5 + 4\/2. Are u and 2\/45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797 - 1400 = 169*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 346136929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (204 - 204 + 67*x**2)*(18*x**2 - 18*x**2 + 16*x**2) in the form y*x**3 + h*x + r*x**4 + p + s*x**2 and give r.\nAnswer: 1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + 3*o**2)*(-6*o**3 + 5*o**3 - o**3) + 5*o**3 - 39*o**5 - 5*o**3.\nAnswer: -45*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojoooyojooojj. What is prob of picking 1 j and 1 y?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.93 - -4.9. Let j = 7 + -7. Which is the nearest to i? (a) -1\/3 (b) j (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302*f**5*p**2 + 2*f**2*p**3 - 135*f*p**3 - f*p + p wrt f?\nAnswer: 6040*f**3*p**2 + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + -17 + (-7 + 9 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*g - 2)*(-5*g + g + 5*g) + (0*g - 6*g + 4*g)*(3*g + 2*g - 3*g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 415.7677 weeks?\nAnswer: 251456304.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*f - 12, 4*q - 2*f + 0 = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 30 = -45. Solve -k + 12 = -g*i, 3*i - 2*k + 2 = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -0*u - 41*u - 688 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.07 (c) 0.1 (d) 0.7181 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177098497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2311311 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 6) to base 13.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 - 92*v + 7. Let s(p) = -150*p. Calculate s(y(d)).\nAnswer: 750*d**2 + 13800*d - 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 - 284 - 2229*g**2 + 85*g**2.\nAnswer: -2144*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 200901869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*(m**(-10)*m)\/m)**2 assuming m is positive.\nAnswer: m**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(13) - (sqrt(13) + 1)*-2) - (sqrt(832) - (sqrt(832) + (sqrt(832) - (sqrt(832) + sqrt(832)*1) - sqrt(832)) - sqrt(832)))**2*-4)*1.\nAnswer: 18*sqrt(13) + 179736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 2, -5 in increasing order.\nAnswer: -46, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.955 + -0.045. Let i = 1 + -3. Is i less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-10))\/(448 + -408 + 49980\/(-1250)).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {s: 2, o: 7, t: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11146385.\nAnswer: 5, 2229277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1980647375 rounded to three dps?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by 46?\nAnswer: -127\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jddjjdjjdjjjjd. Give prob of picking 2 d and 2 j.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-804)\/10 + -2)\/(-7). Let d = 61\/5 - p. Let n = 131 + -131.4. What is the nearest to 0 in d, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 - 299.1. Which is the fourth smallest value? (a) t (b) -2 (c) 1.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14610 and 12043510?\nAnswer: 36130530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44572, -44569, -44566, -44563?\n\"Answer: 3*o - 44575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*u = -4*s + 416, -s = -5*u - 104. Let l = 5 - 30. Let p = -12 - l. What is the highest common divisor of s and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 - 1125?\nAnswer: -10e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50884627, 50884628, 50884629?\n\"Answer: n + 50884626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, g: 1, o: 1, c: 1, z: 1}. Give prob of sequence sgc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 3, -76, -2 in descending order.\nAnswer: 4, 3, -2, -7, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1243 - 1233. Calculate the lowest common multiple of a and ((-3)\/6)\/(1\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 18 + 2 + 2 + (-1 - (11 - 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 3:49 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 - 24502?\nAnswer: -25143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + -9 - 2\/5)*395 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(9\/11))**(7\/5)*b\/((b*b**(1\/48)\/b)\/b)*b\/b**30)**1 assuming b is positive.\nAnswer: b**(-68311\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156775?\nAnswer: 5, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 4. Let a be w(0). Let r be 2\/a + (-18)\/28. What is the second biggest value in -0.1, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19499591 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: Is -4\/155207 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-168)\/98 - (-11882)\/(-182))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 2*y + (4*y - y - y)*(-1 + 1 + 2) - 4*y + 3*y - y + y - 3*y + y)*(-6*y + 0*y + y).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1998346 <= -1998347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1)**2 + (sqrt(60)\/sqrt(2))\/sqrt(6).\nAnswer: sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44020, -176329, -396844, -705565, -1102492?\nAnswer: -1587625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28*(-9)\/((-18)\/(-8)). Suppose -5*z = -2*z - i - m, z + i = 32. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -34. Calculate the remainder when 51 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.215587 to one decimal place.\nAnswer: 173.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 120*k**3 - 2*k**2 - 246*k + 18. Let j(q) = -q**3 + 8*q - 1. Let a(d) = g(d) + 12*j(d). Find the third derivative of a(v) wrt v.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11858564 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4294115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 16. Let t(d) = -10*d - 52. Let f(z) = -21*g(z) - 6*t(z). Determine f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = -16. Let r be (3\/4)\/(1\/d). Let m be (1\/(-12))\/(1\/(-2)). Which is the closest to r? (a) 0.3 (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 plus 1742766543991?\nAnswer: 1742766543990.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/163, -37, -1.74, 2\/121, -5?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -18 + 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + 22\/5. Let y(p) = 2*p + 10. Let m be y(-4). Suppose -87 + 17 = -5*x - u*h, 56 = m*x - 4*h. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14494 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36875)\/13275*1\/(-5)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 189.8284t?\nAnswer: 189828400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -961890 to the nearest ten thousand.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 58\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44739243.\nAnswer: 3, 19, 87211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let u(m) = -130*m**2 + 4 - 2 - 26*m**2 - 2. Determine z(u(q)).\nAnswer: 73008*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 49, 85, 139, 217, 325, 469, 655?\n\"Answer: g**3 + 17*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 20*h + 18. Let r be y(19). List the prime factors of 1542\/14 - r - (-7)\/(-49).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -128\/5 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36818?\nAnswer: 2, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 711 + 51 = 0. Let b be u\/(-30) - (-1)\/(-3). Put 1, b, 26 in descending order.\nAnswer: 26, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6605259 - -170.5.\nAnswer: -6605088.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/7 - 6196*g\/7 + 1028544\/7 = 0.\nAnswer: 176, 2922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) + (-4400)\/(-6). Let l = n - 294. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:22 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -18, 9, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 34879.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -42*20\/120 - -10. Let i(z) be the third derivative of 1\/12*z**4 + 0 + 1\/2*z**w - z**2 + 0*z - 1\/60*z**5. Determine i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3796 and 3445.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + v - 22, 2*s = 2*v + 16. Suppose -5*k - s*k + 8390 = 0. Let m = k + -573. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 4*z + 3. Let j be c(-4). Suppose -2 = -l, 2*l + 11 = j*b + 3*l. Find the second derivative of 2*m - 3*m - b*m - 3*m**3 - m**3 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 0. Let w = -2 - -2. Which is the second biggest value? (a) l (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**4\/5 - 16858*g**3\/5 - 8908342*g**2\/5 - 28786928*g\/5 - 6640224\/5 = 0.\nAnswer: -1052, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/22 and (-404)\/(-12)*243\/(-1026270)?\nAnswer: 139370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148\/3880749 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1387.9 + -1388. Sort 4, -69, 2\/9, j in increasing order.\nAnswer: -69, j, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4314967981.\nAnswer: 4314967981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128886646.\nAnswer: 2, 71, 22034413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13620 divided by 4\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3008 or -3007?\nAnswer: -3007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.64 + 406.36. Let t = 410 - n. Which is the second biggest value? (a) t (b) 1\/32 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -1. Let i = 21996 - 21992. Which is the closest to 1\/3? (a) r (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261950, -1047813, -2357586, -4191269, -6548862, -9430365?\nAnswer: -12835778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 4499\/273?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 + 0*o**4 + 0*o**4 + 0*o**4 - 5*o**4 + 4*o**4 + (-2*o**3 - o**4 + 2*o**3)*(-1 + 4 - 2) + 1 - 1 - 2*o**4 + 14 - 14 - 2*o**4 - o**4 + o**4 + o**4.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/25 - (-4)\/(-10). Let w = -1 + s. Suppose -w*h + 19 = -2*h - 4*f, 5*h + 3*f = 51. Solve -r + 4 = h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 12. Let b be m(15). Is b + 1110\/((-1)\/(4\/(-6))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 - 6*o**2 + 12*o - 1. Let p(k) = -2*k**3 - k - 1. Let j(x) = -g(x) - 3*p(x). Factor j(s).\nAnswer: -(s - 4)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4403, 10608, 20943, 35402, 53979, 76668, 103463, 134358?\nAnswer: 169347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779527 is divided by 222409?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10300010 (base 4) to base 14\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n. Let b(v) be the first derivative of v**5\/60 - 3*v**2\/2 + 10. Let t(l) be the second derivative of b(l). What is j(t(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311313332 (base 4) to base 14.\nAnswer: c7d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12647041 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513161 + 256581 + 256579 + 2176*o.\nAnswer: 2176*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*s = x + 13, 3*s = -4*x - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 2*n**5 + 8*n**5 + (-n**3 + 0 + 0)*(-2*n + n**2 + 2*n) + n**5 - 2*n**5 + 0*n**5 + 34*n - 2*n**5 - 24*n - 19*n.\nAnswer: 2*n**5 - 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-14) + (1\/(-2))\/(9\/126)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 8*a**2 + 4*a + 17. Calculate r(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -0.4. Let t = 0 - -0.6. Let l = t + u. What is the biggest value in 4\/7, -3\/7, l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 32, -20, -104, -226, -392?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 8*z**2 + 4. Let a be w(-8). Suppose 0 = -h + 4*k + 15, -2*h - a*k = k - 4. Suppose 24 = -3*j + h*j. Put -1, j, -2, 3 in decreasing order.\nAnswer: j, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 597 - 690. Let s be c\/(-9) + (-29)\/(-58). Solve -5*t**4 + 0 - s*t**3 - 10*t**2 - 5\/6*t**5 - 10\/3*t = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1012447 and -27306?\nAnswer: 27305.8987553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5679852*o**2 - 15690577 wrt o.\nAnswer: -11359704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-24)\/(-16))*(-27)\/(-6). Let o be 39\/65 - d\/45. Find b, given that o*b**2 + 4\/3 - 1\/3*b**3 + 7\/3*b = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*q + 18, 5*k - 2*k = -9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2255)\/77)\/((-6)\/7) - (28 - 26). Which is greater: -1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 3, j: 9, f: 1, r: 2}. Give prob of picking 2 j and 1 w.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 - 4*s - 2. Let o be b(-2). Suppose -10*u - 4552 = -o*u. What is the common denominator of -29\/6 and (-18)\/14 + 1 - u\/105?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 5*s - 3*y + 24, -22 = -5*s - 4*y. Suppose -385 = z - s*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(84\/72).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opoppfejfxoojxfxp. Give prob of picking 3 p.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3337996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -4.7, -3\/7, -1.2?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 40*p + 3. Let m(n) = 60*n + 4. Let o(s) = -7*k(s) + 5*m(s). Let c be o(1). Let i = c + -16. Solve 5*b - 2*r - 20 = -r, 5*b - 40 = -i*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 79119024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.6 + -38.7938. Round i to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -29*x**2. Let a(o) = 7*o**2 + 8*o**2 - 16*o**2. Calculate a(f(g)).\nAnswer: -841*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4573 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.045194 to two dps.\nAnswer: 182.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 18?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105537 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1842 and 2137334.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 4) + (2 - -11). Solve 4 = 2*k - 3*q, 5*k - o = -0*k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.15 + -0.15. Let y = 12 - z. Let c be (162\/(-144))\/(9\/12). What is the smallest value in y, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -341, -17 in decreasing order.\nAnswer: -6, -17, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97587.31 litres?\nAnswer: 97587310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*v**2 + 23*v**2 - 6*v**2 + 9 - 26*v**2 wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47114 - 47116. Let j(s) = 3*s - s - 3 + s + s**3 - 2*s**2. Let l be j(3). Which is the second smallest value? (a) l (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 3485 - 3159. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/((-85)\/(510\/12))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14234, 6.\nAnswer: 4, 6, 14234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = 4*o, -y - 17 + 41 = -5*o. Let g be 5\/y + 15\/(-60). Let n be (16 + -15)*(-1 - g). Put -3, 1, n in descending order.\nAnswer: 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10da (base 15) to base 10.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + (-59)\/2 + 0)\/(-15 + 3).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**(-14\/5)*u*u)\/u*(u*u*u*u\/u**(5\/3))\/u)\/(u**(-26)\/((u\/(u**(1\/3)\/u))\/u)) assuming u is positive.\nAnswer: u**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298603 is divided by 2298565?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 11. What is i(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440.2262 milligrams to kilograms.\nAnswer: 0.0004402262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -0.21 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76503 or 76507?\nAnswer: 76507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2543, 13230, 39517, 76318, 123633?\n\"Answer: 5257*l**2 + 2*l - 7802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 6*t = 3*y - 5, 6 = -4*t + 2*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 3*i**2 + 3*i - 5. Let n be z(-4). Let l be 2 + n - (2 - -6). Let w = -2 - l. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0*u - u - u)*(6 - 1 + 1 + 0 - 2 + 0 + (-4 + 3 + 0)*(-3 + 4 + 0))*(5*u - 2*u - 25*u).\nAnswer: 132*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -72\/19 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4 - 12*d**3 - 169075*d**2 + 75*d - 20846 wrt d.\nAnswer: 12*d**2 - 72*d - 338150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 60.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4402514006 - -3?\nAnswer: -4402514003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/5)\/m))\/(m\/m**6)*(m*m\/(m**(-2\/5)*m)*m)\/(m\/(m\/(m*m**(-2)\/m))) assuming m is positive.\nAnswer: m**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 5*r + 18, -4*q = 8*r - 6*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9135541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 - -144. Suppose -1232 = -4*f + d*m, -924 = -3*f - 3*m + m. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, -4, -1.5, 72 in increasing order.\nAnswer: -4, -2.1, -1.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -3\/1592 (c) 7 (d) -1\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/3 + -67\/18. What is the common denominator of w and (-22)\/(-3) - (-6)\/(-24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13322405 and 13322406 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 145235 (base 6) to base 4\nAnswer: 3130313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3195676095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - (1 + 3 + -2 + 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 42 = -3*x, -5*z = 6*x - 8*x - 105. Let m = 65 - z. Calculate the highest common divisor of 110 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 110?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721548 divided by -1?\nAnswer: -2721548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232512 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxunuuzxxuzuxnmrxmmx. Give prob of picking 1 x and 1 u.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369, -362, -343, -306, -245, -154, -27?\n\"Answer: o**3 - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 18*n + 24. Give m(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {v: 5, n: 3, w: 1, g: 1, p: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - g = -55, -70 = 2*g - 58. What is the remainder when x is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:20 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4302 - 1702 = -38*t. Let g = 0.43 - 0.33. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 3*q**2 - 34*q - 8. Is 5 a factor of r(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**15*l)\/l**32*l*((l\/((l**(1\/11)*l)\/l))\/l)\/l*l*l\/(l\/((l*((l\/(l\/(l\/l**33*l)))\/l)\/l)\/l))*l assuming l is positive.\nAnswer: l**(-507\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006109 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1364 - -0.1464. What is the third biggest value in 2, -4, d, 6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 3}. What is prob of sequence pp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((5*(-6)\/30)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 22*p - 1696 = 0. Let i = 460 + p. Calculate the least common multiple of i and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832))**2 - (sqrt(1573) - sqrt(1573)*-2).\nAnswer: -65*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -41. Suppose -y = -4*q + l, 0*q + 3*l = -4*q + 18. Solve -2*w - 2 = -q*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 113. Let s be (-1)\/x*-6 + 238\/(-26). Let f be 4*(4\/174)\/((-12)\/s). Are f and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (9 + -12 - -12)) + (-5 - -7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4) + 4 - -3. Solve 0 = -3*m + 5*h, -5*m - h = -y*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3050061 and 8906?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*t + 21, -5*j + t = -0*t - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -9.2 (c) -733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (20 + -18 - (-2 + 9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1.6, -37, 1\/4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**6\/30 - m**5\/30 + m**2\/2 - 5. Let u(c) be the second derivative of b(c). Find the third derivative of u(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -3*o + 4*f, -5*o + 381 = -o - 3*f. Suppose 3*c + c = o. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000475169 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422 (base 10) to base 7.\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 1 + 2*i - 1.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 214*p**2 - 2*p + 3. Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 11:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089.062 rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112.1 and 3351?\nAnswer: 375647.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 - 4292*q**2 + 4292*q**2 + 0*q**3 + 11*q**3 + 2 - 2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m - 32. Let q(k) = -k**3 - 8*k**2 + k + 11. Let v be q(m). Suppose -v*b + 2*b + 11 = 0. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x + 5*h = 40, -45 = -5*x - 4*h. Suppose 0 = x*m - 5*a - 351 - 179, m - 121 = -4*a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-78)\/(-4))\/((-6)\/(-12)). Let p = -37 + k. Suppose 5*v + 0*x - 643 = -4*x, -5*v - p*x = -649. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/12793118 and 23\/602446.\nAnswer: 217483006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25644, -102585, -230820, -410349, -641172, -923289, -1256700?\nAnswer: -1641405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 54*v**5 + 19401*v**4 - 1589349*v**3 - 445134*v**2 + 177192*v = 0?\nAnswer: -428, -1\/2, 0, 2\/9, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240474345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 2865 + 2487 = 0. Suppose -k - r = -3219. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(-6)*r*r**2*r\/(r**(-6\/7)*r))\/(((r\/r**(-1))\/r**0)\/(r**(-4\/9)\/(r\/r**0))) assuming r is positive.\nAnswer: r**(467\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4 + 7 + -2)*24\/(-40)*-5 and 143?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Suppose -4*v + 5 = -4*r + 1, -5*v = -3*r - 9. Let s(x) = 0 + 2*x - 2 + v. What is s(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g**3\/3 + 6. Let r(u) be the second derivative of 6*u**3 + 1077*u. Calculate t(r(x)).\nAnswer: 2592*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1577 years to months.\nAnswer: 25.8924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 5*m - 2. Let x be p(-3). Let l = 7.7 + -8. Let a = 27 + -26.6. What is the second biggest value in l, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6 = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:55 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 13. Let r(w) = -w**2 + 9*w + 53. Let l be r(t). Put -1, 6, l, 3 in descending order.\nAnswer: 6, 3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q + 2. Let z(c) be the second derivative of 646*c**3\/3 + 153*c**2\/2 - 126*c. Determine 153*k(t) - 2*z(t).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*k = -k + 351, 0 = -4*k - 4. Calculate the greatest common factor of 60 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1135 (b) 161\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55558210?\nAnswer: 2, 5, 17, 71, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2. Let z(b) be the first derivative of -8*b**3\/3 + b**2\/2 + 2*b + 2. What is -6*r(j) - z(j)?\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**2*s**3 + o*s**3 - 396617*o*s - s**3 - 17434*s**2 - s + 3 wrt o.\nAnswer: 6*o*s**3 + s**3 - 396617*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3222, -5693, -6678, -5439, -1238?\n\"Answer: 123*p**3 + 5*p**2 - 3347*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 3:36 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:45 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 13 = -o. Suppose 0 = -6*v + o + 13. Suppose 3*g - 36 = 3*m - v*m, -5*m + 24 = -4*g. What is the least common multiple of 12 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 6.6. Put 3, v, 4 in ascending order.\nAnswer: 3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 9*h**2 - 2*h - 34. What is the remainder when q(-4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-11) - (-8)\/(-44). Let k = -31 + 32.5. Let l = k + -0.5. Which is the third smallest value? (a) l (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25 + (2 - -1))*1. Suppose 2*c + 4*f = -t, -f - 106 = -2*c + 7*c. List the prime factors of c\/88 - 26\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(1\/9))\/u)\/(u**(2\/11)*u))**40*(u*u**7)\/(u*u**1)*u**(-5)*u*u\/u**(2\/21) assuming u is positive.\nAnswer: u**(53\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*g - 19. Suppose 3*b + 21 = g*b. Let u(h) = h**2 - 4*h + 3. Calculate the remainder when u(7) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*(0 - 1))\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 730.4 - 731.28. What is the nearest to 1\/2 in 4, 2\/11, s, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/375, 2\/13 in ascending order.\nAnswer: -2, 1\/375, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = 432 - 4646. What is the remainder when c is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + -183. Let u = 204.129 + j. Round u to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 2. Let p be f(-6). Solve 9*j + p = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from kkkgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 489\/8 + -123\/2. Let g = -0.43 + 0.53. What is the second biggest value in g, 0.4, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + -4 + (1 + (sqrt(605) - (sqrt(605) + -2 + sqrt(605))) - 5*(sqrt(605) + 2)))**2*2.\nAnswer: 2112*sqrt(5) + 43688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 24*p - 8 = 30*p, -3*p - 3 = -0*c + 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g - 3*g**2 + 2*g**3 - 30 + 23*g - 42*g. Let z(l) = l**3 - 2*l**2 - l - 30. Let i(t) = 2*y(t) - 3*z(t). Is 5 a factor of i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -13.9464 in ascending order.\nAnswer: -13.9464, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**5))**(-4)*(j**1\/j)\/j**(4\/13) assuming j is positive.\nAnswer: j**(-264\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + -398558696829?\nAnswer: -398558696829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from {v: 7, b: 4, a: 7}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 425813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 195 + 4?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/25*-2*30\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let d(o) be the first derivative of 8*o + 0*o**2 - 2 + 1\/4*o**4 + 1\/3*o**3. Calculate d(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 - 3372*w**3 - 1116089*w + 0 + 1116122*w wrt w?\nAnswer: -20232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -42*f**3 - 5\/2*f**4 - 68*f - 1\/20*f**5 - 2 - 196*f**2. Factor c(s).\nAnswer: -(s + 2)*(s + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 50 = -5*k, 5*k - 25 - 1 = t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1413 divide 4484862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2. Let r(s) = s**2. Let j(n) = -2*d(n) + 6*r(n). Suppose 2*c - 8 = 0, 5*v - 2 = -2*c + 4*c. Let p(m) = -3*m**v - 19*m + 19*m. What is p(j(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 p, and 1 v when four letters picked without replacement from {v: 1, r: 2, p: 3, g: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 14098?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14322 + -13846. Solve x*f - 482*f - 36 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(3\/4)*z)\/z*z)\/z)\/z*z)\/z**(-6\/5)*(z*z*z**(-2\/5)*z)**(-1\/24) assuming z is positive.\nAnswer: z**(341\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**6\/180 - t**4\/12 + 2*t**3\/9 - 3*t**2\/2 + t. Let g(z) be the first derivative of b(z). Let g(a) = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294670?\nAnswer: 2, 5, 79, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4181*j - 1954800 = 20471*j for j.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 239546120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 49 + 291. Is 46 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44094\/4183 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 67522*l. Let r(w) = -85*w. Give -742*r(p) - u(p).\nAnswer: -4452*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -2. Differentiate 0 - 8*v**3 - 1 + c*v**3 - v**3 with respect to v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 j when four letters picked without replacement from {l: 1, y: 2, a: 2, f: 1, j: 5, x: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.008457? (a) -0.2 (b) -2 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 413\/332 - -1\/166. What is the biggest value in -6\/5, -5, 3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.03, 0.4 in decreasing order.\nAnswer: 19, 0.4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -18*g**5 + 2*g**4 + 12*g**2 - 2. Let z(f) = -55*f**5 + 7*f**4 + 36*f**2 - 7. Let w(h) = 14*a(h) - 4*z(h). Find the third derivative of w(o) wrt o.\nAnswer: -1920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -627 - -834. What is the greatest common divisor of u and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4044 divided by 4044\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 233109969615.\nAnswer: -233109969621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(2 - 8))\/((-1)\/4). Let n(r) = 3*r - 8. Let t be n(b). Solve -26*s**2 + 45*s**2 + 3*s**3 - t*s**2 = 0 for s.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o**2 - 5*o - 7. Let g = -44 - -48. Let m be s(g). Let v = m - -8. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m + 11*m - 28*m + 85*m**3 - 27*m**3 wrt m?\nAnswer: 348*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 88102 = -7*k - 17*k. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2117bd (base 15) to base 13\nAnswer: -431878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2580*m + 2440*m + 1260 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-247)\/(-19))\/((-2)\/(14\/7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214030910 and 824?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {p: 5, g: 3, u: 1, r: 1, c: 4, z: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**(-32\/7)\/((p*(p*p\/(p*((p\/p**22)\/p)\/p))\/p)\/(p\/(p\/((p\/(p**18\/p)*p)\/p*p*p)))) assuming p is positive.\nAnswer: p**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935194541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 55. What is z(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 19 = -4*m + 61, 3*z + 12 = 0. Let q be ((-8)\/(-5))\/((-4)\/(-10)). Differentiate -7 - 14*f**q - m - 9*f**4 wrt f.\nAnswer: -92*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:20 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1216, 1157, 1098, 1039, 980, 921?\n\"Answer: -59*b + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, -447, -1560, -2667, -3768, -4863?\nAnswer: -5952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -196013, -392024, -588035?\n\"Answer: -196011*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 3. Suppose 3*g - 201 = -93. Let l(u) = -37 + 20*u + 17 + g. Calculate 3*l(b) + 16*t(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {t: 6, k: 1, b: 1, x: 1, j: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526*h**3 + 1525*h**2 wrt h.\nAnswer: 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = 8*j. Suppose 0 = 3*u + 2*u - 5. Let c be ((-81)\/(-15) - u) + -4. Is j equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*s = -193*s + 508518. List the prime factors of s.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.417 + 0.553. Let i = -0.918 + w. Round i to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-1)*((-6)\/18)\/(70\/420)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-20) + (-9)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208353219 is divided by 1461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = n + 991, 48 - 194 = 4*n + 141*v - 139*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -6*w + 3*o - 13, 3*w - 4*o + 15 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/17 (b) -6.3 (c) -4\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2 - 6*p - 47. Let g(r) = -5*r**2 - 4*r - 31. Let j(c) = -5*d(c) + 8*g(c). Let y be j(5). Let v = y + 216. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 - 2 = 0. Let c be (4\/8)\/(i\/28). What is the units digit of 37\/c - 4\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 303, 691, 1137, 1653, 2251, 2943, 3741, 4657?\n\"Answer: 2*p**3 + 17*p**2 + 323*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-1680)\/315. Let h = 13 + -7. Calculate the greatest common factor of h and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41209.82 to the nearest one hundred.\nAnswer: -41200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -30. Let w = z + -7. Find the third derivative of h**w + 2*h**2 - h**2 + 0*h**3 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -591, -5, 22 in decreasing order.\nAnswer: 22, -1, -5, -7, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1876 - -3115. Let d = -567 + m. Suppose 7*a - d = a. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwovwvwwwowovwov. Give prob of sequence vovw.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**6\/6 + 3*n**5\/2 - 115*n**4\/12 - 110*n**3 - 350*n**2 - 449*n. Factor d(z).\nAnswer: 5*(z - 5)*(z + 2)**2*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8369000 to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2460 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + h**2 + 190*h + 866. What is u(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = 33. Let c(h) = 30*h**2 + 164*h - 24. Let m(y) = 19*y**2 + 109*y - 15. Let s(x) = l*m(x) + 5*c(x). Let s(f) = 0. Calculate f.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 - 183*u - 186 = 0.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.68 - -1.97?\nAnswer: 14.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(6\/23)\/c*c)\/(c**(-23)*c))**19)**(2\/5) assuming c is positive.\nAnswer: c**(19456\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7983 + 17292. Let s = k - 4039. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5396388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696 and 3566478.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j**3 - 2*j**2 + j + 2. Let p be w(-1). Suppose p = -m + 34. What is the smallest common multiple of m and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/(-6)*(-2112)\/(-256)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4386 by 4404.\nAnswer: -731\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14330232 (base 5) to base 10\nAnswer: -151942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {i: 1, z: 3, r: 1, l: 5, c: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -3\/8, -3\/2, 3 in increasing order.\nAnswer: -3\/2, -3\/7, -3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 4. Let b be x(-3). Let h = -0.042 - 2.958. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.065 - 0.235. Which is bigger: -2\/49 or k?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-946*(-43)\/946)\/(1\/(-1)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and -0.141 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**7\/840 - f**6\/90 + f**5\/40 + f**4\/24 + 4*f**3\/3 - 4. Let c(g) be the third derivative of s(g). Calculate c(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16653\/2952 + 4\/(-6) + (123 - 128) and 43\/44.\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 107845*x. Let i(d) = 10*d**2. Give a(i(f)).\nAnswer: -200*f**4 + 1078450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13038 and 309?\nAnswer: 1342914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1205324871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 12) to base 9\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/10 (b) 2 (c) -4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64087 - -100195. Suppose -20715 = 3*y + f. Let s = y - -6641. Round s to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u - 4*u)*(-41 + 39*u + 41)*(-4 + 2 - 13*u**3 + 2 + 57*u**3).\nAnswer: -5148*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.624 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - g**2 - g**4)*(-1 - 21 + 45) as k*g**4 + i*g**2 + s*g + n*g**3 + u and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + 2 + -10 + 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80669282 is divided by 131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3817.84 minutes to nanoseconds.\nAnswer: 229070400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/12 + 2)*(-6)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qygggyygggyggg. What is prob of picking 2 g?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 125544 (base 7) to base 16\nAnswer: 5c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -8\/3*p**3 + 9 + 0*p**4 + 6\/5*p**5 + 0*p**2 + 0*p - 1\/3*p**6. Suppose d(v) = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1377) + -1)**2 + -2.\nAnswer: -108*sqrt(17) + 8266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) 0.028 (c) 0 (d) -8774\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1023330312 (base 4) to base 3\nAnswer: 120210202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srrrrrrsrrrrrrsr. What is prob of picking 2 r and 2 s?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -25244*(328445\/(-164200) - -2). Let v = o - 15\/821. Let m = -18\/25 + -2501\/450. Calculate the common denominator of v and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/4 + 741*j**4\/4 - 15608*j**3 + 171418*j**2 + 62436*j - 688636 = 0?\nAnswer: -2, 2, 13, 82, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1220, 2511, 3880, 5327?\nAnswer: 6852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrssigh. Give prob of sequence agar.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06303 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 166*g - 54. Does 23 divide m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -27*d**4\/4 - 641342979*d**3\/2 - 15234105177812631*d**2\/4 - 5078034631708899*d - 1692678163062747 = 0.\nAnswer: -23753443, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3 = -2*f, f + 289*m - 292*m - 7 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-5 - -6)) + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g**3 - g**2 + g. Let s be k(1). Let n = s + -9. Suppose -3*c - 5*y + 2 = -34, -c = -n*y - 12. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 48826444*u - 298002704210642 = 0. What is u?\nAnswer: 12206611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 20 = -4*t, -4*t + 5*k = 3*k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -21*j + 6. Let t be u(6). Let d be (7 + -6)\/((-2)\/t). Suppose -36 = -4*g + d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 + 343. Let l(q) be the second derivative of q**4\/12 + 7*q**3\/6 + 9*q**2\/2 + 6*q. Let x be l(-6). What is the biggest value in x, s, 2, -5\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-85)\/(-2) + 4\/(-24)*3. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 212 - 209. Let m be ((-20)\/(-90)*15)\/((-2)\/k). Let v(j) = -j**3 - 4*j**2 + 2*j - 7. Determine v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 12. Let y be v(-8). Sort 5, -1, y.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 10014312224?\nAnswer: 10014312114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 20 = 8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 4845 and 300429\/62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*((-4)\/(-40))\/(8\/80).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d**7)**41\/((d\/(d\/d**3*d))\/(d*d*d\/(d\/d**13)))**(2\/13) assuming d is positive.\nAnswer: d**658","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, -1589, -55 in decreasing order.\nAnswer: 2, -2, -4, -55, -1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 2*s**2 - 4*s + 2*s + 5 + 38*s**2. What is the remainder when q(2) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 2*k**2 + 3*k - 1. Let s be l(3). Let y be -7 + 83\/7 + (-4 - s). Let f = 23\/35 - y. Which is the nearest to -0.1? (a) 0.5 (b) 9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + ((-881705)\/(-328))\/253.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/5, 38.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0 + 135. Calculate the highest common divisor of v and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/24 - 9*v**2. Find n, given that t(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugpuhrerrp. What is prob of sequence rhr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16473*i - 11172 wrt i?\nAnswer: 16473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10424, 10454, 10506, 10580, 10676, 10794?\n\"Answer: 11*y**2 - 3*y + 10416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*z**3 + 1 - 4*z - 351*z**3 + 4*z + 167*z**3.\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11 + 10\/11*n + 2\/11*n**2.\nAnswer: 2*(n + 1)*(n + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*r - 34028, -3*r - 5907 + 22939 = 2*d. Suppose 1694 = y - n, 0 = -7*y + 2*y - 5*n + d. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -59. Let m be ((-2)\/4)\/(c\/(-16)). Let r(b) be the first derivative of -2*b**3\/3 - 1. Give r(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/12 - 4*s**3\/3 - s**2 - 5*s. Let d be m(-8). Let y be d - (5 - 2 - 8). Solve 3*q = -6 + y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let y(p) = 3*p - 2. Let d(b) = -4*c(b) - y(b). What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 21 = -31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 9:06 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 7. Let a = 0 + 0. Is u(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + sqrt(432) + 4 - 1*2*sqrt(432)) + sqrt(432) + 2 + 0 + -2)**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let s = 145 - 1013\/7. What is the closest to 4 in g, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -25, -28, -31, -34, -37?\n\"Answer: -3*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062 - -2.77714?\nAnswer: 2.78334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7616 and 4933264.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5*j**2 - 8*j - 6. Let o be d(-6). Let w(a) = -5*a + 0 + 10*a - 7*a**2 + a**3 + 0 + 4. What is w(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**3 + 3*y**2. Let f be (-32)\/(-12) - 3\/(-9). Let r(w) = -16*w**3 + 10*w**2. Let o = -52 + 42. What is f*r(s) + o*q(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -3, 1, 395, 41 in descending order.\nAnswer: 395, 41, 7, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 45*c**5 - 5*c**4 + 64*c**2 + 5*c + 5. Let l(z) = -z**5 - z**4 + z + 1. Let v(y) = -j(y) + 5*l(y). What is the third derivative of v(m) wrt m?\nAnswer: -3000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-41)\/(1*(-3)\/(-210000)). Round h to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z - 6. Let u(b) = -b**2 + 10*b + 6. Let g be u(11). Let f be r(g). Suppose 0 = -5*k + p + 74, 0*p - p - f = -2*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44990 is divided by 14897?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**12*f)\/f**(1\/7))\/(f\/(((f**(5\/4)*f)\/f)\/f)*f)**(-39) assuming f is positive.\nAnswer: f**(2327\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 319837.772 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 122360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 - 6. Let j be b(-6). Suppose -3 = s - 6. Suppose -q = -3, -4*w - s*q = -w - j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 232.\nAnswer: 5\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 390 + -370. What is the highest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 25 = -2*q. Suppose -5*p - q = -0*p. Let y(z) = -z**3 - 5*z**2 + 1. Determine y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 8}. What is prob of sequence ww?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:39 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/200328 and -163\/41244.\nAnswer: 1402296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 7408. Let c(l) = -l - 1487. What is 11*c(q) + 2*p(q)?\nAnswer: q - 1541","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26459506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21141 - 32301122?\nAnswer: -32322313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 190535.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -11. Let f(a) = -2*a**3 + 7*a**2 + 6*a - 4. Let y(v) = v**3 - 7*v**2 - 6*v + 3. Let i(m) = 2*f(m) + 3*y(m). Calculate i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 24702675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5, -z + v - 71 = -3*v. Let n = z + 36. Let y be (-28)\/n - 4\/(-30). Solve 0 = -y*q - 5*o - 3, 5*q + 2*o - 4 = -22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 2*c**2 + 6*c - 9. Let f be (7 - (-144)\/(-16))*(1 - -4). Let h be x(f). Is h at least -869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w - 12. Let o be s(3). List the prime factors of 2952\/o - 2*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 14 + 3*u + 0*u)*(4 - 4 - 7*u**3).\nAnswer: -21*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 107.943. Let t = 1.057 - p. Which is the closest to 0? (a) t (b) -0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrn when four letters picked without replacement from {n: 2, r: 5, f: 3, b: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1378508 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -3.65007.\nAnswer: -1.095021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22 - (-3 + -2)) + -3 + 5. Let p be (-348)\/(-15) + (-87)\/u + -6. Solve -v = 4*k - p, v = -0*v - 2*k + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -50.2. Let r = 10 - u. Sort r, -1, 3\/7 in descending order.\nAnswer: 3\/7, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 7*n**2 + 4*n - 5. Calculate l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 63*o + 68*o - 24 + 11.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 463260607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7152756*r**3 - 8 - 3576374*r**3 - 3576386*r**3 + 18.\nAnswer: -4*r**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 12:26 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3588137 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0 + 2216*d - 1977*d - 7014*d - 7641*d - 1).\nAnswer: -14416*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 48130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2284315 divided by -5065\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 56*t + 104.\nAnswer: 2*(t + 2)*(t + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i - 1575 = 0. Let y = 368 - i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 201*q - 123. Let b be y(5). Is b > 882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, y: 12, t: 1, g: 2}. What is prob of picking 1 y and 1 q?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 9*r - 3. Let x be j(5). Factor 0*u**x + 0*u + 0 + 1\/2*u**3.\nAnswer: u**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.043 (b) -5 (c) -2\/15 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) + 116\/(-261).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -2.8, 1\/4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7996 divided by -2535\nAnswer: 7996\/2535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2176.\nAnswer: -5\/2176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 3*l + 2. Suppose -h = -2*h + 1. Suppose -h - 8 = 3*u. Let k be d(u). Solve 3*a - k*a + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284438 and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*11\/77)\/(2\/(-1)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4028715, 8057350, 12085985, 16114620, 20143255, 24171890?\n\"Answer: 4028635*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15402 + -1156?\nAnswer: 14235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*w - 1, -4*w = -3*i - 30 + 19 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 7*b - b + 6*b - 8*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*t + 5028*t**2 + 374*t - 5041*t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + 10*d**2 - 5*d + 237. Let q(o) = 2*o**3 - 6*o**2 + 3*o - 119. What is -3*b(y) - 5*q(y)?\nAnswer: 2*y**3 - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 - 1.1808?\nAnswer: 188.8192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 3*i**2 + 5*i**2)*(-7256 - 6448*i + 7256 + 10347*i + 12729*i).\nAnswer: 33256*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28947 and 675430.\nAnswer: 2026290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -44. Let q(j) = j**3 - 2*j**2 - 7. Let z be q(3). Sort y, 0, z in decreasing order.\nAnswer: y, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21) - sqrt(1701))*-6)\/((sqrt(49) + (4*sqrt(49) + sqrt(49))*5)\/sqrt(7)) + -4.\nAnswer: -4 - 24*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 31 - 6 - 14 - 6*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 1*(sqrt(114) - -3*sqrt(114)) - sqrt(114))*-5)\/(-5*2*sqrt(864)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**7\/42 + 55*r**6\/24 - 143*r**5\/4 + 3325*r**4\/24 + 2875*r**3\/3 + r**2 - 914. Factor f(n).\nAnswer: -5*(n - 46)*(n - 5)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 35 + 11 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:15 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - u + (-2*u - u + 5*u)*(-5 + 2 + 1) - 1103 - 19*u + 1103.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6213727 + -6213727.20000185. Let h = 0.2 + l. Round h to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/30)*i)\/(i\/(i**(-16)*i))*i**(1\/10)\/(i\/i**(-3)) assuming i is positive.\nAnswer: i**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 smaller than -488\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70, 137, 204, 271?\n\"Answer: 67*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 183 + -35?\nAnswer: 14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 plus -0.3997?\nAnswer: 6.4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -767*r - 9570. What is k(-15)?\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/(19*12\/2280).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.3, 135\/311, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/14)\/((-2)\/(-14)). Let j = -107\/3 + t. Let p = 0.294 - 0.294. Which is the nearest to p? (a) -0.2 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let s(r) = -8*r**2. Let i(v) be the second derivative of 0 + 4*v + 0*v**3 + 0*v**2 - 2\/3*v**4. Let w(y) = -2*i(y) + 3*s(y). Determine t(w(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -1\/24*r**4 + 0*r - 9*r**2 - 1\/120*r**6 + 0 + 29\/3*r**3 - 1\/60*r**5. Is h(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1149*i**4 - 453 + 453)*(2*i + i + 0*i).\nAnswer: 3447*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 - 5*z**2 - z + 9. Let f(p) = 6*p**3 - 4*p**2 - p + 8. Let g(l) = 6*f(l) - 5*w(l). Let d be g(0). Solve 12 = -d*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(3413\/(-436864))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1277 - -2147. Let d = f - 618. Is 36 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1508 + -5734. Let y = q - -7926. Is y\/52 - (-1 - 30\/(-26)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 507? (a) -3\/7 (b) -13 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -4*q. Let n(y) = -4 + 2 - 2*y + 0 - q. Suppose -4*s + 0*s = -16. Calculate n(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7062.826 decades to months.\nAnswer: 847539.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.200028. What is b rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4)*(4*y - y - 2*y) + (2*y + 2174 + 260 + 1483)*(-2 + 0 + 0) to s + j*y and give s.\nAnswer: -7834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -42*x**3 + 3*x**2 - 5*x - 5. Is m(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(2\/3)*h*h))**(3\/5)*(h\/h**(2\/5)*h*h)**(-2\/13))**50 assuming h is positive.\nAnswer: h**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.1 and -5589.\nAnswer: 45270.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2597, 1, -3, 4 in decreasing order.\nAnswer: 4, 1, -3, -2597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 3, 1\/19, 0, 771?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28725071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, 0.4, -0.9, 1 in decreasing order.\nAnswer: 1, 0.4, 0, -0.9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 109, 163, 217, 271?\n\"Answer: 54*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o - 4. Let i(r) = -12*r - 3. Let p(s) = -5*a(s) + 6*i(s). Suppose 0 = -36*u - 12 - 60. Calculate p(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131 + -3?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353 - 342. Let g be 9 - ((-6)\/(-33) + 53\/q). Which is the smallest value? (a) 162 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13495 + -134827\/10. Suppose 4*n + 0*n + a - 42 = 0, -3*n - a = -31. Suppose n = -p - 18. Find the common denominator of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -33, 6 in decreasing order.\nAnswer: 6, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 96 + 97 - 394 - 13*u + 104.\nAnswer: -13*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 291*u**5\/10 + 301*u**2. Let m(v) = 2*v. Give m(l(z)).\nAnswer: 3492*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from mmmddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 5)*(-6*q + 9*q + 4 - 9) to w + p*q and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 133075879199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*p - 8, -2 = -3*k + 2*k + 3*p. Let z be (5 - (-6 + 7)) + (-82 - k). Is z at most as big as -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14919339 to the power of 1\/2, to the nearest integer?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1934392 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-140)*7\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 11:05 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - ba?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/7 in 2\/3, 3\/8, 220?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h**2 - 70*h + 8. Let w(t) = 7*t**2 + 47*t - 5. Let g be (-1*2*4\/5)\/(450\/2250). Give g*w(d) - 5*q(d).\nAnswer: -d**2 - 26*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/((-1)\/15). Let q = a + -9. Let d = q + 5. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/90*(13 + -18) + (-61)\/9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(-161 - 4*h + 161) + 2*h + 0 + 2 - 1.\nAnswer: 18*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58215, -58262, -58313, -58368, -58427, -58490?\n\"Answer: -2*o**2 - 41*o - 58172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112\/2451 - 230365\/803928. Find the common denominator of s and -59\/80.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766219719.\nAnswer: 11, 113, 1420933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 18*c + 5. Let m be n(9). Suppose 0 = -21*i + 24*i + 5*f - m, -3*f = -i + 11. Solve 13 = -i*z + 3*l, 0*z = 4*z - 5*l + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010222 minus -4.9?\nAnswer: 1010226.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(1100) + 4)**2*1*3 + 3.\nAnswer: -480*sqrt(11) + 13255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4153*v. Let u(c) = -5092*c. Give u(z(h)).\nAnswer: 21147076*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 4*k)*(-k**3 - 14198 + 95*k + 7097 + 7100).\nAnswer: 3*k**4 - 285*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n + 0*n - 3*n + (-6 + 4 + 4)*(0*n + n - 3*n) + 10*n - 5*n + 15*n + n - 3*n + n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-6 - -1)) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -72908 less than or equal to -1093624\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1623 divide 105852605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -70, -116, -184, -280, -410, -580, -796?\n\"Answer: -v**3 - 2*v**2 - 17*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00216104 and 5.\nAnswer: 5.00216104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.756057 centuries?\nAnswer: 3307.2684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 13. Let i be g(11). Let p(f) = f**3 + 9*f**2 - 7*f - 9. Let o be p(i). Suppose 298 = 3*u - 2*d + o, u - 4*d = 88. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 5*t - 6. Let l = 1 + 5. Let c be p(l). Suppose -h + 12 = -c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2388.145 or 2\/3?\nAnswer: 2388.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c - 3911 = -35061. What is the remainder when 700 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 5*w. Let b be i(-4). Let l(u) = -9 - 21*u - 9*u**2 - 13 + 31 - u**3 - 13. Let c be l(-7). Is b less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73.4 + -295.4. Is z equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 5, -633, 4.\nAnswer: -633, -15, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -31. Suppose 0 = 2*l - 3*l - j, 2*d = -4*l - 12. Solve 7 = d*s + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4546334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -454*o + 8637. Determine t(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 1515, 2180?\nAnswer: 2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22413083?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 135 = -26. Find h, given that -10*h - 14*h + 36 + 52*h**3 - o*h - 51*h**3 + 8*h**2 + 2*h = 0.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -1685?\nAnswer: 59\/1685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(108) + sqrt(108) + -3 + -1 + sqrt(108))**2 + (5 + (sqrt(108) - sqrt(108)*1))*-1 + 2.\nAnswer: -252*sqrt(3) + 1018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 - 6*p + 4. Let k be x(6). Let q be 4\/(0 - (-2)\/5). Let s = q - 5. Put 2, s, k in ascending order.\nAnswer: 2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o - 368*o - 153*o + 31407 = 0 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 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: Find the second derivative of -14018197*d**3 - 11944275*d.\nAnswer: -84109182*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*a - 1495*a + 140953 = -108*a + 166*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + m. Let q(u) = 68*u**2 - 3*u + 24. Let p(o) = -q(o) - 5*s(o). What is the second derivative of p(h) wrt h?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260286.03 hours to days.\nAnswer: 10845.25125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, g: 3, r: 1, c: 3, p: 2, q: 1}. What is prob of sequence rp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, 22, 75, 148, 247, 378?\n\"Answer: n**3 + n**2 + 29*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-12\/11)*w\/((w\/(w\/w**(-2\/51)))\/w)*w)\/(w**(-7\/4)*w**(-10)) assuming w is positive.\nAnswer: w**(40123\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + h = 70. Let w(g) = -g**3 + 10*g**2 + g - 10. Let q be w(h). Let i(k) = -k**3 - k - 4. Calculate i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -275*p + 269*p + 858. Let h = 179 - p. What is the least common multiple of h and 46?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**35*a**12*a*(a**37*a)\/a**(1\/4) assuming a is positive.\nAnswer: a**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p + 36*p - 12*p**3 - 72*p.\nAnswer: -12*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjcj when four letters picked without replacement from jxjyjjccxjcycyxjjjjc.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-15))\/(-14))\/(6\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1161558894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 5*f + (3 + 1 - 1)*(-2 + 2 - 2*f) to h + m*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 234.9229598654.\nAnswer: 229.9229598654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.4903 - -16.9903. Let j = 2.78 + -3.5. What is the closest to -0.1 in -0.4, j, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154240190599620387 - 154240190599620357 + 2*r.\nAnswer: 2*r + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 - 7*j - 28. Suppose 3*u = -4*x + 847, -u + 2*u - 423 = -2*x. What is the remainder when x is divided by a(9)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 672.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169623 is divided by 3028.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let o(l) = l + 17. Let i(g) = o(g) + 2*w(g). Let b be i(-3). Solve 0 = 5*c - 25 + b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*q + 4, 6*k - 4*q - 11 = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((5*sqrt(35))\/sqrt(7) + sqrt(5))*-2 + (sqrt(208)\/(sqrt(24)\/sqrt(3)) - sqrt(26))\/((sqrt(32)\/sqrt(4))\/sqrt(4) + sqrt(2) - sqrt(2)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5733.612ug?\nAnswer: 0.000005733612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540234 divided by 6.\nAnswer: 90039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -1.2 (c) 3 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-6 + (-19248)\/(-3210)). Round q to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*m + 82 - 243 + 78 + 83.\nAnswer: -471*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 34*m. Let t(z) be the first derivative of 14*z**3\/3 - 336. Give t(i(u)).\nAnswer: 16184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -27*p**5 - 61227*p**4 + 394980*p**3 + 13922160*p**2 - 19016928*p + 6385392 = 0.\nAnswer: -2274, -13, 2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**2\/2 + 26*y + 19. Calculate the remainder when ((-4)\/(-5))\/(2\/15) is divided by a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(11) + (1 + sqrt(1331))**2.\nAnswer: 24*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let d(n) = -5*n - 4. Let p(b) = -3*b - 1. Let m = 267 - 262. Let j(t) = m*p(t) - 2*d(t). Determine j(y(v)).\nAnswer: 10*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/5)\/n)\/n)\/n**(-2\/3)*(n\/n**(-2\/17)*n)\/(n*n\/(n\/n**(-7))))**(2\/77) assuming n is positive.\nAnswer: n**(3664\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -102, -767, -1874, -3423, -5414, -7847?\n\"Answer: -221*y**2 - 2*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = j. Let c = -130.5 + 131. Sort c, j, -13 in ascending order.\nAnswer: -13, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j. Let m(t) = 6994*t**2 + 2*t. What is m(f(k))?\nAnswer: 27976*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18066317 less than 38.2?\nAnswer: 18066355.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*x - 22, -m + 4*x - 2*x + 10 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 1444.\nAnswer: 47652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.833 - 2.167. Let t = 2 + 0. Suppose 0*n - t = 2*n. Which is the closest to n? (a) p (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 14, -3, -69.\nAnswer: -69, -6, -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 + 2*s. Let x be t(4). Suppose -v + 12 = -x. Let b = v - 14. Solve 2*q - b = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 23 + 0 + 8 - (-19 + 3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 + 7265*y**2 + 2374335*y - 12053925 = 0.\nAnswer: -951, -507, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14571, -29238, -43995, -58836, -73755, -88746?\nAnswer: -103803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 54 = -2*y. Suppose o - 4 = -0*o. Let s(u) = u**3 - 3*u**2 - 2*u - 4. Calculate the lowest common multiple of s(o) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, -42, 2 in decreasing order.\nAnswer: 7, 2, -8, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.9 + -18.1. Let z = n - 18.799907. Round z to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912415795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143450660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/2))**48)**(-2\/19)\/(((u*u**(-1))\/u)\/((u\/((u\/(u\/(u**(4\/9)*u*u)))\/u))\/u*u*u))**35 assuming u is positive.\nAnswer: u**(8014\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)*j*j**2*(j\/j**2)**(4\/7)*(j**12*(j\/j**(-3)*j)\/j)**(2\/19) assuming j is positive.\nAnswer: j**(1508\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -91.2 = -3\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(-3\/5)\/(d**(-10)*d**(2\/29)) assuming d is positive.\nAnswer: d**(5673\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + 13*o**2\/2 + 8*o. Calculate the remainder when b(0) is divided by 6*(3 + 32\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.775 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21518 is divided by 500?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4))\/(w\/w**(-2\/11))*(w\/(w\/(w\/((w*w**16)\/w*w))))\/w*w**13\/w assuming w is positive.\nAnswer: w**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -121875 divided by -5\nAnswer: 24375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(245) - ((0 + sqrt(245))*5 - sqrt(245))).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**8\/336 + d**7\/10 - 61*d**6\/60 + 17*d**5\/5 - 13*d**4\/3 - 1071*d**2. Suppose a(f) = 0. What is f?\nAnswer: -26, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45184 and 32?\nAnswer: 45184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/40374 and 143\/13458?\nAnswer: 40374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 987040\nAnswer: 1\/246760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -56*q**6\/3 - 2358*q**5\/5 - 3387*q**4 - 11542*q**3\/3 + 780*q**2 + 1800*q + 603. Determine u so that f(u) = 0.\nAnswer: -10, -1, -3\/7, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Let z be (12\/16)\/(2\/8). Let r(i) = -i**3 + 2 + 2*i**2 - z*i**2 - 6. Give r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*z - 168, 5*z = -8*t + 3*t - 160. Let r = z - -39. Solve 14*c**2 + r*c + 2 + 2*c**3 - 8*c**4 - 6 + 0 - 2*c**4 - 4*c**5 = 0 for c.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, -1029, -1537, -2033, -2511, -2965, -3389, -3777?\nAnswer: -4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -14*w**2 + 0*w + 0*w**3 + 0 + 0*w**4 - 1\/15*w**5. Let b(o) be the third derivative of o**5\/30 + 2*o**2. Give m(b(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 32, 1, -116, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 427\/(-63) + (-6)\/27. Which is the fourth biggest value? (a) q (b) -2\/9 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*36\/(-264).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/39 (b) -5 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/753794988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkk when four letters picked without replacement from nnknnnnkkkkn.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4153 + 24064. List the prime factors of l.\nAnswer: 7, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-806)\/(-91) + (-1)\/(-7). Let z = -35\/4 + r. Is z at most -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 10 (b) 2 (c) 424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7197?\nAnswer: 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 9. Let m be i(-3). What is the remainder when 82 is divided by 3 + 1 + m + (-8 - -24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f - 2. Let p(c) = -2*c + 6. Let o be p(6). Let r be u(o). Suppose 3*j - 3*w = 99, 0*j - r*j - 2*w + 156 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49564 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4398 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 634039111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 144.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -0.19, 0.7, 31, -2 in increasing order.\nAnswer: -2, -0.19, 0.03, 0.7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1249 + -1359. Do -110 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 396*b**5\/5 - 3*b**4\/2 + 1567*b**3\/3 - 6152. What is the third derivative of g(p) wrt p?\nAnswer: 9504*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 - 134. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 21*a - 40. What is the smallest common multiple of d(-25) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-280)\/(-30))*(-6)\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, i: 3, l: 1, e: 1, p: 1, m: 2}. What is prob of picking 1 m and 2 n?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 230, 482, 734, 986, 1238?\n\"Answer: 252*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2621 + 4858. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -96. Let d = p + 36. Let u = d - -16. Does u = 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 204 = -232. Calculate the remainder when 61 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/15 and -3 + 53\/33 + 0?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.6 + -27.3. What is the biggest value in 0.5, v, 20, -2\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 3)*(1 + 3 - 6) - 5 + 2 + 2 + 0 + 4 + 3 - 6 - 7 + 3)*(0*s**3 + 4*s**3 - 5*s**3).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5*x + 18*x - 2)*(-7 + 20 + 13) to m + o*x and give o.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 8. Suppose 10 = 4*r - 6. Suppose 2*s - 82 = -r*u, -3*u + 59 = -5*s + 4*s. What is the lowest common multiple of u and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 646*c + 6973. Give t(-117).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by (6\/(-4))\/(39\/(-130)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24858850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6557 times 4.1\nAnswer: 26883.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - w = -234, -l = 3*l - 5*w - 482. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83414180 a multiple of 1843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -0.4, 1\/2, 0, 11 in descending order.\nAnswer: 15, 11, 4, 1\/2, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 4*u**2 + 4*u + 10. Let k be f(5). Solve -k = -c - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 18. Let t be f(11). Suppose t*m - 11*m = 1332. What are the prime factors of m?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4229*i + 4231*i + 5*n, 5*i - 6*n - 40 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79\/12 + -281\/60. Let p = 56911\/1509 - 24\/503. Let m = 197\/6 - p. Find the common denominator of q and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*u = -1713*u + 3*v - 47, -49 = -u - 3*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 13 + 47. Let m(s) = s**3 - 5*s**2 - 7*s + 12. Let r be m(f). Calculate the greatest common divisor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 11*t**2 - 12*t - 18. Let w be c(-10). Let o(f) = 26*f**3 + 5*f**2 - 5*f + 1. Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/15)))\/(q*q**(-2\/9)*q*q)*q**3\/(q\/q**(-6))*(q*q**(1\/3)*q\/((q**(1\/3)*q)\/q))\/(q*q\/(q*q**1*q)*q)**10 assuming q is positive.\nAnswer: q**(-221\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*k**3*w + 10*g*k**3 + 46*g*k**2 - 4*k**3 + 8*k*w + w - 2 wrt g?\nAnswer: -k**3*w + 10*k**3 + 46*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*a + 21 = 0, 230*n + a - 15 = 225*n. Let x(f) be the first derivative of 5\/3*f**3 + 12 + f + 0*f**n. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 r, and 1 b when four letters picked without replacement from {f: 1, b: 1, i: 2, n: 1, r: 4}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/48 and 35\/4476?\nAnswer: 17904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 61.\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 377734 - 3*d**3 - 377734 - d**2 + 454*d to g*d**3 + i*d**2 + k + l*d and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 11*r - 15 = -13*r - 0, -4*j - 2*r = 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 2279.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-4 - -5) - 0. Suppose -38 = -n*x - 14. Solve 0 = -x*u + u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.5, 0.3, 29\/9, -0.4, 2.\nAnswer: -21, -0.4, 0.3, 0.5, 2, 29\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-2 + 2 + 5 - d).\nAnswer: -2*d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2 + 2)*(-20155 + v + 1324*v**2 - v + 20155) to the form k*v**2 + b*v**3 + w + y*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2352843 or -2352818?\nAnswer: -2352818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 82057*t - 195 + 82052*t - 164110*t.\nAnswer: -t - 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6055 (base 10) to base 14\nAnswer: -22c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-15)*74\/32*(-2 + -8) and 117\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Suppose -3*n - 52 = 2*p + n, 0 = p - 4*n + 2. Let d be (-16)\/(-9) - 4\/p. Let y(g) = -3*g**2 + g**d + 0*g**2. Give y(a(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 3. Let b = 25 + -19. Suppose 5*z - 5*g + 15 = 0, 5*z + b*g - g - 15 = 0. Let h(x) = x**3 - x**2 - 2. Let p be h(z). Determine l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.89, 0.52, -0.3, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -13*p - 3. Determine v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 3*u**2 + 3*u + 3. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371 and 1106.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 8960 = 2*l - 51*t, 4*t - 8 = 0. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:32 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.82 + -0.18. Let h be -1 + -1 - (-24)\/9. Sort w, -2\/3, h in decreasing order.\nAnswer: h, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d**3 + 7*d**2 + 7*d - 46. Suppose -2*p = 3*c + 10, -3*p - 12 = -c - 41. Let o(k) = -9*k**3 + 5*k**2 + 5*k - 31. Calculate p*o(l) - 5*s(l).\nAnswer: 2*l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215*s**5 + 2660499*s**4 - 1449228426*s**3 - 7887565188*s**2 - 8777472264*s - 2341797216 = 0.\nAnswer: -4, -1, -2\/5, 9878\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/4, -1\/3, 2\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03880723 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 357. Let w = 751\/3 - n. Calculate the common denominator of w and (23\/6)\/((-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1, -4, 50 in increasing order.\nAnswer: -4, -1, 2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 828 by -36.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 199, 373, 537, 685, 811, 909, 973, 997?\n\"Answer: -w**3 + w**2 + 178*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211543 (base 7) to base 15.\nAnswer: 30aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z. Suppose 2*m - 6 + z = 0. Solve -22 = 4*j + m*q + 9, -3*j + q = 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568304?\nAnswer: 2, 3, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 v when three letters picked without replacement from {d: 2, p: 4, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7577120.\nAnswer: 2, 5, 23, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 384, 275, 166, 57, -52?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -0*x. Suppose 51 = x*f - 0*f. Let k = 216 - 97. What is the highest common factor of k and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/21415416 and 37\/18738489.\nAnswer: 149907912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/137991 or 0?\nAnswer: -2\/137991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, d: 3}. What is prob of picking 2 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**3 - 14*l**2 - 17. Let r(i) = 3*i**3 - 5*i**2 - 6. Let c(m) = 6*p(m) - 17*r(m). Let b be c(-1). List the prime factors of 2\/b + 15\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31859 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -7. What is the biggest value in -0.4, p, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 3115.\nAnswer: 3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9262.03l in millilitres?\nAnswer: 9262030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - u - 3 = 0, 5 = -2*q - 5*u - 10. Is -2\/23 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8634105 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/32)\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12872175 plus -1.08?\nAnswer: 12872173.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1168*s + 195. Is g(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19075 divided by 4599?\nAnswer: -2725\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5 + 10. Suppose -4*u + 505 = u - 5*f, b*f = 0. Suppose 0 = -l + 22 + u. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-8 + (123 - -40) - -1)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658175 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 16 + -16 + 3\/(6\/10). Solve 0 = 2*q - 3*s - 8, -k*q + 6*s + 12 = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(2\/1 + 0). Suppose 3*r - 32 - 43 = p. Let q = 72 + r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 140 = 2*c - 58, 0 = -4*k + c + 83. Let n(s) = -s**3 + 20*s**2 + 25*s - 72. What is n(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 2\/7, -1462084?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 131319.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2994.0075 - -2989. Let k = 5 + b. What is k rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-6)\/(-9)*3. Factor o*f**2 + 7*f**3 - 4*f**3 - f**2 + f**5 - 3*f**4.\nAnswer: f**2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**3\/19 + 5558*g**2\/19 - 12524*g\/19 - 138384\/19 = 0. What is g?\nAnswer: -558, -4, 31\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 9*l = 4*d + 5, 0 = -l + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 41. Let b(w) = -2 - 2*w**3 + 5*w - 3*w**3 + 4*w**3 + 0*w**3 - w**2. Let k be b(s). Solve -4*o + 19 = -k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 16. Suppose 7 = 2*m + j. Suppose -4*y = 0, -2*y = -3*o + m*y + 36. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + i - 1. Let b be x(1). Suppose -2*q = -11 + 5. Suppose 2 = 5*a - q, -3*a + 3 = 4*f. Solve f*z = -b*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3992 by -5275.\nAnswer: -3992\/5275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 185\/65 + 89\/(-13). Let l(d) = -d**3 - 4*d**2 + 6*d + 5. Let m be l(q). Suppose -m = 4*o - 8*o + 2*f, f + 1 = 0. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/169 (b) 1.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44429*b = 44343*b + 2666 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128683 and -237.\nAnswer: 30497871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-53\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 5*g - 2. Let b be k(-3). Suppose 2*y = y + 2*r + 7, -y - 2*r = b. Sort 139, 4, y, 5 in descending order.\nAnswer: 139, 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111406811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + 74. Calculate the highest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17209396 by -8604698.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 57\/(-132) + (-40)\/(-220). Sort -6\/7, -1, q.\nAnswer: -1, -6\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:54 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3506 - -60237. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -1.471.\nAnswer: 0.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1150000. Let r be p(0). What is r rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 3159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 5*d + 5. Let c(m) = -3*m**2 - 5*m + 4. Determine 6*c(a) - 5*o(a).\nAnswer: 2*a**2 - 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 15*o - 23. Suppose 5*r = -4*z - 6, -5*z - 22 = -5*r - 2*z. Let n be h(r). Is n less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 218?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 926*v**2 - 18*v + 8333. Calculate x(463).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 61, -3, 15 in descending order.\nAnswer: 61, 15, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kttktskstst. What is prob of sequence ks?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 - (-238496)\/64. Suppose -c = -q - 805. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174*x**2 - 49615*x - 59840669 with respect to x.\nAnswer: -348*x - 49615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 - (5 - 1))) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + -48. Let l be 4*(o\/(-12) + -6). Solve 2\/11*t + 0*t**l + 0 - 2\/11*t**3 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - n**3 + 1 - 4*n + 1 + 6*n to the form q*n + x*n**2 + k + t*n**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365 (base 8) to base 15.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349 != 4350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16993 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296769 is divided by 96693?\nAnswer: 6690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose 33 = -v*i + 3*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-2*(-3)\/114.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 + -133. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2 (c) -3\/4 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-14600))\/(((-684)\/(-60))\/19).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5808 and 20735?\nAnswer: 10948080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 17 + 23 - 1 - 1 + 1 + (-2 + 1 + 3)*(-3 + 1 + 1) - 1 + 0 + 2)*(11 + 4 + 13*p - 68).\nAnswer: 364*p - 1484","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 468*v**5\/5 - 2326*v**4\/5 - 206926*v**3\/5 - 1232348*v**2\/5 - 1058792*v\/5 - 30576\/5 = 0?\nAnswer: -14, -6, -1, -7\/234, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 61988187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-3\/2)*o\/(o\/(o**(-4\/9)\/o))*((o\/(o**(-3)*o))\/o)\/(o\/(o*o*o*o**1\/o)) assuming o is positive.\nAnswer: o**(37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19992509 is divided by 5662.\nAnswer: 5649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425) + 1 + 2 + 3*(sqrt(153) + -1) + (sqrt(153) + 0)*-5)**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4092 and -37\/5568?\nAnswer: 1898688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 524.66 meters?\nAnswer: 52466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 + 882. Let a = 573 - t. Is 34 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:43 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4 - 54220*k**3 - 147098820*k**2 - 587744800*k - 587528000 = 0.\nAnswer: -5420, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 976131 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, c: 1, x: 3, l: 2, q: 1, n: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4590*d**2 - 3876*d**2 - 5268*d + 4318*d**2 wrt d?\nAnswer: 10064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25668 and -3.\nAnswer: -0.77004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 5*k - 56 - 1767*k**3 - 84 + 1756*k**3 + 181 as l*k**3 + q + c*k + h*k**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*d = -2*d - 4, -5*d = -g + 23. Let p(u) = -2*u**3 + 40*u**2 + 523*u - 29. Let h be p(29). Solve -3*r + r + g = h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and 2\/231 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -13. Suppose -5*w = 3*h - h - 24, -j*h - 15 = -w. Solve 3*p + 6 = -w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 700c - -2?\nAnswer: 7011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + 3*z = -7, -1 = 5*t - z. Suppose 0 = -2*u + 71 - 11. Does 29 divide ((-348)\/u)\/(t\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 22 (c) 1\/4 (d) -0.1 (e) 2 (f) -5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 13*i**2 - 11*i + 14. Let v be y(-12). Suppose -q = -v - 0. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.907 - 0.107. Let n = 80 - 52. Let m = s - n. What is m rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 20. Let j be n(11). Find the common denominator of (-935)\/121 - (j - 7) and -173\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-48)\/40 - 1\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003271 to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.348*-2\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34fdd (base 16) to base 4\nAnswer: -310333131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1699\/7 - 1696\/7. Put -79, s, 3 in descending order.\nAnswer: 3, s, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaoaolaolo. What is prob of picking 1 l and 1 a?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/11 + 6\/33. Let l be ((-6)\/9 - o)*-3. Is (5\/l)\/((-2)\/16) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154 in 2\/3, 0.4, -2\/5189, -1\/10, 3\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48606, 96170, 143732, 191292, 238850, 286406, 333960?\n\"Answer: -q**2 + 47567*q + 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 4. Determine v(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*f + x - 11, -16 = -5*f - 3*x. Let k = 33 - 53. Let p be ((-2)\/(-10))\/((-64)\/k + -4). Which is the closest to p? (a) f (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630) + sqrt(3630) + sqrt(3630)*1*-6 - sqrt(3630))\/((sqrt(120)\/sqrt(5) - sqrt(6))*-4).\nAnswer: 55*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248 = 343*p - 745 + 211 - 305 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 5 = 0. Suppose -u - c*w = -3*w - 11, 0 = 4*u + 2*w - 56. What is the greatest common factor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from fawaatjoajtj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4 + 51*v**2 + 2. Let b(h) = 3*h**2. Give r(b(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -12\/85?\nAnswer: -12\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*f + 27 = 0, -5*f + 7 = z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1231\/5 - -246. Let t(o) = 2*o + 6. Let y be t(-3). What is the closest to f in 1, 6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/1*(-4)\/8. Let z(q) = 2*q**2 - 7*q. Let o be z(5). Let b = 15 - o. Solve 4*x - 1 + p = b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - 0) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 21*f**2 + 26*f + 552. What is d(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35922*y**2 + 11288*y wrt y?\nAnswer: -71844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - 29*v**2 + 6. Let q(x) = -1. Let l(f) = -b(f) - 6*q(f). Find the third derivative of l(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s, -4*s - 157 + 209 = 5*t. Solve t*r + 7*r = -60 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 0 (c) 1\/11 (d) 4\/3 (e) -1453 (f) 4\/9 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 3)*(-z - z + 0*z)*(-2 - 2 - 2)*(1 - 2 + 0) as m + f*z and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-2 + 1 + 3)*(23904 + 149*c**2 - 23904)*(4 - 3 + 2) as m*c**2 + y + d*c and give m.\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836789 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - (3 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**6 - 161662*l**5 - 3235242*l**2 wrt l?\nAnswer: 360*l**3 - 9699720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*j - 68, 2*z + 164 = 5*j - z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14\/m*m*m\/(m**(-12)*m)*m)\/(m**(-2)*(m\/(m**2*m*m))\/m) assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11308412761+-5.56\nAnswer: 11308412755.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/11, -1\/3, -359, 2, 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948981311.\nAnswer: 11, 358998301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 630.45\nAnswer: -33413.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.885 + 0.195. Let i = -1.68736 - c. What is i rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -758567 and 0.006?\nAnswer: -4551.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102578074*n**2 + 11*n**3 + 102578074*n**2.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 305, 427, 549, 671?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8424 - -8429. Let o = 2\/33 + -41\/132. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*x - 77*x**2 - 2*x + 33*x + 7 to the form g*x**2 + p*x + m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 59.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -33.3. Let q = v - -2. Which is the nearest to q? (a) 4 (b) 1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18204468\/24*1*6\/(3\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5565436 decades to years.\nAnswer: 5.565436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/4 + 8*r**3 + 28*r**2 - 14*r + 291. List the prime factors of o(-20).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**4 + 7*k - 12*k**4 + 12*k + 3*k**3 - 16*k + 1 to q*k**4 + z + r*k + j*k**2 + f*k**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65391 divided by 307.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - (1 + -2). Let q(g) = -2*g + 5. Let i be -4 + (-1)\/(-1) - -3. Let z be q(i). Put 4, z, p in decreasing order.\nAnswer: z, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*u - 62 - 34 = 0, -3*u - 60 = -2*a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8 - (-2)\/4. Let h be 0*(0 + 1)*v. Differentiate h + w**2 + w**2 - 1 with respect to w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 1282. Let u(s) = -3841*s. Give k(u(d)).\nAnswer: -3841*d + 1282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 72167.51g?\nAnswer: 72167510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022302117 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 74 + 66. Let u = l + 14. Sort u, 0, 5 in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17\/3 - (-4)\/12 and (-5)\/(-25) + 38\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 take away 22?\nAnswer: -22.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17649?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c. Let f(g) = -240*g**2 + g. Give f(o(l)).\nAnswer: -2160*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 + 416?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3.5. Let y = 3.5 - h. Which is the nearest to -1? (a) y (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 8, q: 8}. What is prob of picking 1 e, 1 m, and 1 q?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -301 - 5?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59926 is divided by 29669.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose -3*w - 15 = p, d + 33 = 5*w + 118. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17826 >= -524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 4 + 4 - 2*j + 29 + 2*j**2 - 30*j**3 + 18 as r*j + l*j**3 + a*j**2 + z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 30. Let o(u) = 4*u - 61. Let d be o(v). Let l be (20\/14)\/(-5)*(4 - 5). What is the nearest to d in l, 9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6 = -3*j. Let q be (-6)\/(-6)*4\/1. Suppose 2*d - 2*g - 2 = -3*g, d + 13 = -q*g. Sort 4, d, j in decreasing order.\nAnswer: 4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 1422*z - 2*z**3 + 3*z**4 + 2*z**2 - 2070*z to the form a*z + m + n*z**3 + v*z**4 + p*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112786849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 37. Let d be k(6). What is the highest common divisor of 76 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/4 - 3*u**2 + 4. What is the second derivative of l(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*z - 90*q**3 + 58*z + 2 wrt z.\nAnswer: -2*q**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 3. What is u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x - 17. Let b(y) = -2*y + 3. Let g(j) = -34*b(j) - 6*f(j). Let p(t) be the first derivative of -5*t**3 - 2. Calculate p(g(u)).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399135, 798280, 1197425, 1596570?\nAnswer: 1995715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3750 - 2068 = -122*v - 2344 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -3. What is the least common multiple of 6 and -3*1*154\/l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 42*j**2 + 93*j + 603. What is the remainder when 2156 is divided by d(-40)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5) - (4 + 0 + -4). Let r = 27 - 24. Let n = -134 - -132. What is the fourth smallest value in r, n, -0.2, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 580*i**2. Let g(m) = -38*m**2 + 1. What is g(t(u))?\nAnswer: -12783200*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2276*x + 13914 + 2018 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2810366*i**3 + 207*i**2 + 3*i - 1589.\nAnswer: 16862196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/132*-2*(7\/(-5))\/(-1)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 12 + 6*l - 109*l**2 + 296*l**2 - 97*l**2 - 102*l**2. Let b(d) = -d**2 + d + 2. Let u(z) = -6*b(z) + k(z). Solve u(a) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2 + x. Let n(u) = 7*u**3 + u**2 - 13*u + 5. Let h(f) = n(f) + 6*z(f). What is h(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*o**2 - 192*o**2 + 43*o**2)*((-1 + 1 - 1)*(2 - 1 + 0) - 1 + 5 - 3 + 3 + 3 - 4 + 2 - 5 + 2) as j*o + b + i*o**2 and give i.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454835.\nAnswer: 5, 17, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 2*k**2 - 36555*k + 100271*k - 63716*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 - 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.2 + -0.2. Let h = g + -10. Which is the nearest to -3? (a) -2\/3 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111 - -104) + (-18 - 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)\/((s*s\/s**(-37)*s)\/s)*(s**(13\/3)*s)\/(s*(s**(1\/55)\/s)\/s) assuming s is positive.\nAnswer: s**(-5363\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:46 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0 - 2 + 0)*(5 - 3 + 0)*(2 + 40*x - 20*x - 24*x).\nAnswer: -32*x + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -197*s**2. Let y(i) = -8*i**2 + 7*i + 210. Let j(f) = -5*f**2 + 5*f + 150. Let m(w) = 7*j(w) - 5*y(w). Give m(d(p)).\nAnswer: 194045*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/7)\/(4*(-6)\/(-72)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19020372, -19020369, -19020376, -19020399, -19020444?\n\"Answer: -t**3 + t**2 + 7*t - 19020379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6 + (-10)\/(-6))*(-325)\/(-1625).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*p - 17, 4*m - 4 = 9*m + 3*p. Let u be ((-21)\/(-154))\/(24\/2). Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24257770 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from eebqqz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**7\/840 + z**6\/60 - z**5\/30 - z**4\/8 + 11*z**3\/6 + 12*z - 2. Let p(j) be the second derivative of l(j). Calculate p(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2396 = 58*h + 18*h - 1317 + 6677 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65343, -65481, -65621, -65763, -65907, -66053?\n\"Answer: -y**2 - 135*y - 65207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 1.1. Let w = -196 - -194. Let m = 0.8 + -5.8. What is the nearest to v in 2, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176872?\nAnswer: 2, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + b**2 + 0*b**2 + (-5 + 3 + 3)*(4*b**2 - 6*b**2 + 5*b**2) - 1 + 1 + 3*b**2 in the form s*b**2 + x + k*b and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - -9335?\nAnswer: 9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Total of -92.9443012067 and -131.\nAnswer: -223.9443012067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -39. Let w = -20 - r. Let y = -83 - -83.4. Put w, -5, y in descending order.\nAnswer: w, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 3. Let k be o(-3). Suppose 88 = 3*f - 5*g, 2*f - 3*g - 58 = -k*f. Calculate the smallest common multiple of 8 and f.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*y + 214105, 0 = 2*y + 8*s - 9*s - 85629. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:28 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 9*u + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x + 6. Let d(l) = -13*l - 13. Let o(b) = 11*b - 2. Let q be o(1). Calculate q*a(r) + 4*d(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:22 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 614375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(4 - 2)\/(6\/3). Let b(f) = -40*f + 3. What is the remainder when 298 is divided by b(r)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3869 - 222 + 0*o + 9*o.\nAnswer: 9*o + 3647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (-2551 - -2463)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f**2 + f)*(2*f + 3*f**3 - 2*f) - f**5 + 2*f**5 + f**5 - 2*f**5 + f - f - 2*f**5 - 6 + 6 + (f + 3*f - 2*f)*(15*f**4 - 13*f**4 - 7*f**4).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -294 - 16*n**3 + 294 + (n**2 + 0*n**2 + 0*n**2)*(-24*n + 18 - 18).\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let q be (4\/6 - 0) + 899\/87. Suppose 4*r - 4 = 5*o + q, o - 21 = -4*r. Solve -4*s - c - 4 = 0, -s + v*c - c - o = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 162019 + 280610 = 0. List the prime factors of x.\nAnswer: 11, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3299 = -25599*w + 25765*w - 9109 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**9\/3528 + l**8\/2940 + l**7\/2940 - l**3\/3 - 8. Let m(n) be the third derivative of v(n). Factor m(q).\nAnswer: -2*q**3*(q - 1)*(3*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, 2\/3, 5, 11.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 1}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 285?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 2.26. Let w = g + 3.9. Let o = w + -1.76. Sort -1, -0.5, o.\nAnswer: -1, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - 5335*y + 42869. Calculate p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 0 in descending order.\nAnswer: 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5*j**2 + 6*j**3 - 10 - 35 + 2*j**4 + j + 4*j**2 - 4*j**3 as z*j**2 + x*j**3 + f*j**4 + i + r*j and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 31 (c) 4 (d) -0.2 (e) -0.028 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 796910573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6428 + 1268. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 1786 = -1272. Let y = 575 + v. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 35\/3. What is the nearest to 0.1 in p, 0.3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let f = -7 + 7. Let l(z) = f + 4*z**2 + 0 - 8*z**2. What is h(l(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*r + 12. Let p be (-866)\/r - (-18)\/63. Let l = p + -57. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3209401*c**6 + 6*c**2 - 91159*c + 2 wrt c.\nAnswer: -385128120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/4)\/((-1 + 4)*(-494)\/(-152)). Which is the nearest to -2\/9? (a) r (b) 4 (c) 1\/2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j - 1. Let b(f) = 9*f**2 - 14*f + 15. Let m(q) = -b(q) + 4*v(q). Let i(h) = -h**3 - 3*h**2 + 3*h - 6. Let a(z) = 7*i(z) - 2*m(z). Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 f when four letters picked without replacement from nznfzzzfzzzfzf?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 9*i - 7. Let w be u(-5). Let b = 183 - w. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771413415.\nAnswer: 5, 19, 18646457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 3090168.\nAnswer: 24721344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 + 52*g**3\/7 + 370*g**2\/7 + 800*g\/7 = 0. What is g?\nAnswer: -16, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = -29*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33417775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/(i\/i**(1\/51)) assuming i is positive.\nAnswer: i**(409\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/4 - 2*i**3 + 4*i - 2. Let c be l(6). Let p = c + 0. Solve t = 5*b + 2, 2*t = -b - b + p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/132 + 5*i**3\/66 + 2*i**2\/11 + 7*i. Determine n so that t(n) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93436584 divided by -11679573\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 28*l**2 + l - 1. Let y be g(3). Let b = 383 - y. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5859491?\nAnswer: 11, 73, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 3:17 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.08541 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 43. Let w be p(24). Solve 2*x = -3*g - 13 - 9, -w*g - 3*x = 35 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndtlurr. What is prob of picking 1 n, 1 r, 1 l, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z - 11. Let o be q(4). Let m(y) = -2*y - 15 + o - 5. Give m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 299902701641 and -158.\nAnswer: 299902701483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + 2*sqrt(612) - sqrt(612) - -2*(sqrt(153))**2.\nAnswer: 12*sqrt(17) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 + 2*w**4 + 3*w**5 - 7*w**5 + 3*w**5 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16705 divided by 18762?\nAnswer: 16705\/18762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 5*r - 85, -3*h - 49 = -5*r. Let a be (h\/(-4))\/(-3) + 2. What is the second biggest value in a, 3\/7, 0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(2*a**2 + a**2 - a**2) - 4*a**2 + 4*a**2 + 2*a**2 - 2*a**2 + 6*a**2 - 5*a**2 + (-10 - 36 - 50)*(-9*a**2 + 5*a**2 + 10*a**2).\nAnswer: -579*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 + 2483796*m**2 - 2483794*m = 0.\nAnswer: 0, 1, 1241897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 345*j - 275*j - 2*j**2 - 1)*(3*j - 2*j + 0*j)*(3 - 6*j - 3).\nAnswer: 6*j**4 - 420*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 5, -0.45872, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-27)*18\/4. Let d(x) = 6*x + 1. Let r be d(4). Suppose -r = 5*f + 5*y, -4*f + 7 - b = -4*y. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = 4*z, -z = 3*c - 0 - 5. Find the third derivative of -35*y**6 - 2*y - 6*y**4 + 0*y**2 + 108*y**z + 6*y**4 wrt y.\nAnswer: -4200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5315, 0, 4.\nAnswer: -5315, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*0.734\nAnswer: 1.3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 138*o - 2132. Calculate a(15).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 37174.\nAnswer: 148696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and -41\/89850.\nAnswer: 359400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 + 17 + 33)*(f - 6*f + 3 + 2*f) as q + w*f and give q.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2\/5 - 488*t\/5 + 14884\/5 = 0. Calculate t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 2*k - 1. Let r = 4 - 0. Let j(f) = -4*f**2 + f + 1. Let x(p) = r*j(p) + 5*u(p). Suppose 15 + 5 = -4*z. Determine x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.388 times 2756?\nAnswer: -3825.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.691 times 20?\nAnswer: 33.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 - 2*y**3\/3 - 39*y**2\/2 - 52*y. List the prime factors of t(-16).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8938.018 centuries?\nAnswer: 893.8018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*(2 + -1 + (-4 - -2)). Let f be 1 + s + (-873)\/(-144). Sort f, -4\/5, 0, -5 in descending order.\nAnswer: f, 0, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:14 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(16 - 43*b - 16)*(-4 + 2 + 1).\nAnswer: -215*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 1, 1 = 4*h + i. Let u(m) = m**3 - m**2 - 8. Calculate u(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65761, -65496, -65233, -64972, -64713, -64456?\n\"Answer: -t**2 + 268*t - 66028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsftttsisttfri. Give prob of sequence ir.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16178 is divided by 586.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3177000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*m - 3023 = -m, -15 = 5*m. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-240) + 16\/(-120)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 197, 4, -2\/5, -5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167700 by -975.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:56 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 11 = -1. Let t = -15133\/3448 + 6\/431. Calculate the common denominator of (-213)\/(-40)*u\/3 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 9 - 11. Suppose 8 = 44*l - 40*l. Suppose -s + l*w = -16010, -w + 8785 = -q*s + 88790. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 103*v**2 - 1698*v + 1804. Determine r(-22).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -10001102?\nAnswer: 10000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-21)\/(-2). Let v(y) = y**3 + 11*y**2 - 2*y - 16. What are the prime factors of v(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12338\/9 - -1371. What is the nearest to -0.1 in 0.12, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1008)\/(-189))\/(18\/(-27) - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-565.12\nAnswer: 113.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 81, 2\/19, -2\/21, 4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q**2 + 3*q - 3. Let i(n) = 39*n**2 - 18*n - 17. Let l(s) = 11*s**2 - 5*s - 5. Let m(z) = -2*i(z) + 7*l(z). Determine -b(w) + 3*m(w).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egvgeqvgggegegvqgegg. What is prob of picking 2 q and 1 e?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02219766047 and -5.\nAnswer: -5.02219766047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**2 - 2 + 6 - 2 + 2*s**6 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51616*k**2*v**3 - 2*k**2*v + 2*k*v**3 - 18072*k*v + k + 2*v**3 + 1 wrt k.\nAnswer: 103232*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011121201 (base 3) in base 5?\nAnswer: 30131223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237 and 281989.\nAnswer: 66831393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (17 + 30)) + 47.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-6)\/(-124))\/3). Suppose 3*k - 31 = -7*p + 3*p, 4*k = 5*p - o. Let y = -14319 + 14324. Calculate the least common multiple of y and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Suppose 0 = -7*j + 5*j + 6, 3*p + 30 = 5*j. Let r(s) = 2. Give p*l(w) + r(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 60, 90, 154, 264, 432?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*m**3 + 22*m**3 - 24*m**5 + (0*m**4 + 5*m**4 - 3*m**4)*(5*m - 2*m - m) - 2*m**2 + 2*m**2 + m**5 - 3*m**4 - 3*m**5 + 5*m**4 - 3*m**4.\nAnswer: -22*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14770 = 3*p + 5*a, -6*p + 2*a + 9820 = -4*p. Suppose 1411 - p = -3*s. Is s a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 217*c - 3316. What is y(18)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwnilidn. Give prob of sequence ng.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -503 - -517. Calculate the remainder when 52 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnn when three letters picked without replacement from pnpnnp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}