diff --git "a/data/dm_maths/full_data_2/1949_11255.jsonl" "b/data/dm_maths/full_data_2/1949_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1949_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate ((6 + -3)\/33)\/((-4)\/8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163496323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from iszzllixilzos?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = -7*t. Does -11\/6 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3622, -3, 1, 5, -4 in ascending order.\nAnswer: -4, -3, 1, 5, 3622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489844603.\nAnswer: 53, 727, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.3 + 43.2. What is the fourth biggest value in -1\/42, -3\/4, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33412052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4125 = 10*h + 5*h. Suppose -330 = -h*i + 274*i. Is i a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2. Let k(n) = -37955*n**2. Calculate k(f(j)).\nAnswer: -607280*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.973*-5.\nAnswer: 4.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66503189 times 0.1?\nAnswer: 6650318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = -6*a. Suppose a*t = n + 13, 0 = 5*t + 3*n + n - 65. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/3)\/(-4))\/(4850\/2328)*8\/12\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in 3, -2\/9, 0.021?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4784441000 rounded to the nearest 1000000?\nAnswer: -4784000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2368*n + 311*n + 47428 + 100676 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -9*d + 5. Suppose -c - 5 = -3*f + 9, c + d = 5*f. What is the smallest common multiple of f and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/8*20\/(-35). Let r = 14.05 + -0.05. Let p = r - 15. What is the smallest value in p, 5, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t + 348. Let i be y(0). Let c = 501 - i. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 4 - 4)*(2 - 3*n**2 - 2) + 294*n**3 + 320*n**3 - 513*n**3 + (-2 - 1 + 2)*(-2*n**3 + 2*n**3 + n**3) to v*n**3 + u*n + y + s*n**2 and give v.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -24. Let s(v) = v - 14. Let f be s(l). Let i be (-8)\/f - (-1)\/(-2). Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-128)*(-2)\/(-3)*-2*9?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**4 - 35*j**4 - 23*j**4)*(-35*j - 85 + 85).\nAnswer: 1540*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1818420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -1928, -4 in descending order.\nAnswer: -1, -4, -5, -1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -113. Suppose 3*b + r = 18*b. Solve -3*d = 4*g - 4, -b*g = 1 + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*k - 15 = -1060*k + 5*f, 5*k + 15 = -f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e4 + -13205?\nAnswer: -132e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7507 + -7506. Which is the closest to 82? (a) -3 (b) 0.1 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11524 and 3882556.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/9)\/((u*(u\/u**(-1))\/u)\/u*u))\/(u*(u\/u**(-3))\/u*u*u\/(u*u\/(((u*u**(-2\/3)*u)\/u)\/u))))**(14\/5))**8 assuming u is positive.\nAnswer: u**(-1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-39 - -31) - -10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 375\/2 - 607\/3. Find the common denominator of d and (4\/18)\/((-54)\/(-153)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.469862 + 0.47. Round j to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -2*s**7\/7 - 11*s**3\/3 + 4. Find the third derivative of f(k) wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 5 (b) -1328\/7 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6 = 0, -p + o + 3*o - 4 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 4. Let a be v(2). Let g = -1 + a. What are the prime factors of 6 - g - (0 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4548 divide 140388586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118cd4 (base 14) to base 13.\nAnswer: 180580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 8. Let p(j) = 9*j + 85. Let z be p(-10). Let s(y) = -2*y + 4. Let n = -79 - -76. Determine n*t(g) + z*s(g).\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284172?\nAnswer: 2, 3, 7, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*10*(-9)\/(-6). Suppose -6 = j - 5*p, -24 = 4*j - 3*p - 0*p. Let h = c - j. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -859 + 2157. What is the highest common factor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q**2 + 5*q - 5*q. Let s(f) = -3*f**2 - 2*f + 2. Let x(t) = -9*t - 3*t**2 - 3*t**2 + 9 - 7*t**2. Let u(w) = -9*s(w) + 2*x(w). What is v(u(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*m + 4*b, -2*b = -6*m + 2*m + 16. Let a = -8 - -5. What is the second biggest value in 1, a, m, -0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136)*2*6 - sqrt(136)) + (sqrt(136) - 1*sqrt(136)*-4))\/(-3*sqrt(8)*1 + sqrt(16)\/(-1*sqrt(2) - sqrt(2))))**2.\nAnswer: 17408\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 22866*l**2 + 4106325*l + 4083462.\nAnswer: 3*(l + 1)*(l + 183)*(l + 7438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 104*x - 1913. Let a be i(-16). Solve 2*w = 4*c + 4, 87*w - 3*c + a = 88*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5 = -t + 4*b, 15 = -3*t + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6963 + -2?\nAnswer: 6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 8*c + 6*c**3)*((c - 2 + 2)*(-1 - 3 + 3) + 0*c - c + 8*c) + 2*c**4 - 3*c**4 + 9*c**4.\nAnswer: 44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251 - 244. Let s(c) be the first derivative of -3\/4*c**4 + 0*c**2 - 3\/2*c**6 + 0*c - 3*c**5 + i + c**3. Factor s(y).\nAnswer: -3*y**2*(y + 1)**2*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**3 - 2769*c**2 + 4596*c - 1836.\nAnswer: 3*(c - 306)*(c - 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28899733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 1, j: 2, v: 2, m: 7, i: 2}. What is prob of picking 2 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, o: 5}. Give prob of sequence ttoo.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*c + 160*c + 6033 = 1833 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from iiiuizzuiu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -213 and 486750738.7?\nAnswer: 486750951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15716, -60308, -134628, -238676?\n\"Answer: -14864*z**2 - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 74*j - 19. Let z = -152 + 176. Is a(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 944*l - 939*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 44*o + 256 = 0. Solve 5*u = 2*v - o, -70*v = u - 72*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7468433.492433 + 4.\nAnswer: -7468429.492433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 - 18*z**2. Let y(o) be the first derivative of o**3\/3 + 13. Give g(a) + 18*y(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 14*r**2 + 18*r + 44. Let o be m(-15). Which is the closest to 0? (a) 3\/19 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 47*q - 4. Let y(g) = -2*g**3 - 99*g + 8. Let n(b) = 9*y(b) + 19*z(b). What is n(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 194. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -32, -77, -160, -293?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373198 divided by -2.\nAnswer: 186599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 965 * 153.\nAnswer: 147645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-834)\/1112)\/(3*(-2)\/80)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -15 + 3 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/20)*f)\/f**3)\/((f**(-9)*f)\/((f**10\/f)\/f)) assuming f is positive.\nAnswer: f**(297\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 5 - -42)*16. Round j to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1513 and 9996?\nAnswer: 889644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6 = -3*x, -d - 5*x = 27. Let q = -34 - d. Solve -m + q*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10097*g + 32048*g - 10428*g)*(0*g + 4*g - 2*g)*(-1 + 0 + 3).\nAnswer: 46092*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let w be y(3). Sort -8, 0, w.\nAnswer: -8, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -848*r = -850*r - 6. Let c = 1570 + -23617\/15. What is the common denominator of c and (-2)\/r - 0 - 260\/(-50)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2*g**3 - 29*b**2*g**2 + 2*b*g**3 + 272*g**3 wrt b?\nAnswer: -6*b*g**3 - 58*b*g**2 + 2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by 2.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0945 + -0.095903. What is o rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 3. What is the biggest value in 1, f, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 18\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmxm when four letters picked without replacement from mjmmxmmmjmmxxmjxxmjx.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t. Let o(d) = 2*d**2 + 8*d - 4. Let j(i) = -3*b(i) + o(i). Let a be (-40)\/(-3) - (-1)\/(-3). Let w = a - 10. Give j(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 - 328. Let u(j) = 3*j + 6. Give u(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(288) + (sqrt(288)*-3)**2 + 6*sqrt(32))*6.\nAnswer: -93312 - 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8375904337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-3))\/(8\/(-176)). Find the third derivative of -7*z**6 + 18*z**6 + 13*z**2 + q*z**6 + 4*z**2 wrt z.\nAnswer: 3960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -41. Solve 3*a = z - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457186954 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: Do -0.056 and -2\/21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -585?\nAnswer: -57f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-52))\/(8 + 7399\/(-924)). Is m >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u - u + 4*u)*(-19132 + 33119 + 40525 + 607 + 36251 + 27839) in the form y + a*u and give a.\nAnswer: -119209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5583e (base 15) in base 8?\nAnswer: -1022763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 3*h + 29, 6*h = -3*k - 27 - 45 + 33 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 11\/((11\/(-3) - -3)\/(-2)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 - 6\/(-10). Let p(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/12 - d**3 + d**2. Let w be p(-5). Solve -w*c - b = 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 2, 51, 1083?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56651 divided by -14.\nAnswer: -8093\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 0\/(-3)*1. Suppose i - 2*i = -2*n - 10, -98 = -5*i - d*n. 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: Four letters picked without replacement from {y: 1, t: 3, p: 6, h: 8}. Give prob of sequence pthh.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 268960 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g. Let t(y) = 2*y + 30 - 34 - y. Let i be t(9). Let n(a) = -4*a**2 + 2*a + 2. Let w(l) = i*f(l) + n(l). Determine j, given that w(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 + (-230)\/(-15). Let t = p - 6. Suppose 47 = y + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49520 = -0.3442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 60 + 143 = 0. Solve -5*l = 5*h - 0*l + 10, 4*l = 3*h - n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4169.1 less than 14453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 2607943.\nAnswer: -10431772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58465, -58467, -58467, -58465, -58461, -58455?\n\"Answer: b**2 - 5*b - 58461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 780 divide 888749940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**0)**11\/(w\/(w*w**(-4\/7)*w)*((w*w\/(w*(w*w**(-17)*w*w)\/w))\/w)\/w) assuming w is positive.\nAnswer: w**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82932?\nAnswer: 2, 3, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/10)\/(2\/(-5)). Suppose -h - 32 = -2*g + 3*h, 0 = i*g - 5*h - 70. What is the remainder when 47 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2646025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + 28. Let p = q - 74.59. Let j = p + 1.09. Which is the third smallest value? (a) j (b) 2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001081581 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/(330\/12))\/(6\/5). Sort h, 2\/11, 0.2, 0.01 in decreasing order.\nAnswer: 0.2, 2\/11, 0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/11, 0.2, -4 in decreasing order.\nAnswer: 2, 0.2, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - h + 10, 5*b - 5*h - 10 = -0*h. What is the second derivative of -7 - b + 12 + m - 21*m**4 wrt m?\nAnswer: -252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98652131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. Find the second derivative of 468*b - b**3 - b**z - 471*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 1. Suppose -3*i = -5*u - 1, 11 = u + 5*i - 0. Let a(w) = -1. Let h(v) = u*g(v) + 6*a(v). Let t be (3*-1)\/(6\/8). Determine h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.881518096 rounded to 3 decimal places?\nAnswer: -3.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 24*o - 58. Let a be m(21). What is the units digit of a + -222*1\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190*n*o**2 + 3*o**2 - o with respect to n.\nAnswer: -190*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 - 2. Let k be b(-2). Suppose -l = k*l - 39. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 255 = 4*r - 3*z, r + 3*z = -68. Let c = r - -71. Suppose -c*y + 34 = -32. What is the remainder when 32 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -0.6?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 135988 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 21*l - 5 = 0. Solve -4*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 185 = -73*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-51))\/((-150)\/2550)*3\/12*214\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55855 (base 12) in base 9?\nAnswer: -182662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4564693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 7:25 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*d**4 - 22*d + 5.\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.2927 nanograms in grams?\nAnswer: 0.0000002012927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4666110 and -0.5?\nAnswer: -2333055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - ((-25 - 3) + 7 - -7)) + 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -274 (b) -5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = w + 39, -4*t + 5*t - 6 = -w. Suppose 4*u + 8 = -2*n, 3*n + 9*u = 4*u - t. Let 5*o - 5*o - n*o**2 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 0 - (-92 + 83) - (11 - 19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*x**2 + 5*x - 36*x**2 - 42*x**2 as w + q*x + f*x**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050767746 to five decimal places.\nAnswer: 0.00508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1000049752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lldm when four letters picked without replacement from {d: 4, m: 7, l: 2}?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -0.22, 0.2, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.79 + -0.21. What is the second biggest value in h, 0.2, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i - 3. Suppose -4*y + 117 = -v, v = -y - v + 27. Let z(q) be the second derivative of 0*q**3 + y*q + 0 + 0*q**2 + 1\/12*q**4. Determine n(z(o)).\nAnswer: 12*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1700)*2)**2 + 4*sqrt(272) + -1.\nAnswer: 16*sqrt(17) + 13599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-35))\/((-6)\/15*85\/(-2)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6933*j**2*t*z**2 - j**2*z**3 + 2761*j**2 + 18458049*t**2*z**3 + 4*t**2*z**2 wrt z?\nAnswer: -6*j**2 + 110748294*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210554428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*1 - 126\/(-45))*2. Which is the third biggest value? (a) 1 (b) 0.03 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -45, 1, 5 in decreasing order.\nAnswer: 5, 3, 2, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 264*l**3 + 11616*l**2 - 170368*l.\nAnswer: 2*l*(l - 44)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 15*z + z**3 - 2*z**3 - 760*z**2 - 2 + 757*z**2 to l*z + q*z**2 + j*z**3 + m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - w. Let h be n(1). Suppose -2*c + 8 = -4*c, h*x - 240 = -2*c. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*u - 3)*(0*u**2 + u**3 + 0*u**2) - 10 + 10 - 2*u**4.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 2*h**2 - h**2 + (-4*h + h - h)*(7 - 4 + 2*h + 2).\nAnswer: -11*h**2 - 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 3*u**2 + u**2)*(31*u + 21*u - 16*u)*(u + u - u).\nAnswer: -108*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 13) + (-413 - -430).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4324403 (base 8) to base 12.\nAnswer: 479943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1678752 and 41\/7656.\nAnswer: 18466272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5842442*d - 5842424*d - 3 - 6.\nAnswer: 18*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, r: 1, z: 10, n: 1}. Give prob of picking 4 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 190130.64 microseconds?\nAnswer: 0.003168844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*n + 480. Let r = 83 - n. Suppose -3*p + r = -24. Sort p, -1, 3 in increasing order.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/3)\/4)\/((-4)\/(-32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (55 + -32 - 40) + (0 - -20) - -40\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 3*n + 15 = 5*t, -5*t = -2*n + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 6*n + 16. Is s(-7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-25)*1\/(-3)*2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121\/(-33)*4\/((-12)\/(-3))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 4*g**3 + g**3)*(5*g + 3*g - g)*(-5*g + 0*g + 3*g).\nAnswer: 56*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -25 - (0 - 3 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183.6 - -183.1. What is the nearest to 0.1 in -25, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -q - 277 + 304, 5*q + 5*x - 85 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5526*t + 5517*t + 81 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3)*(-5 + 8). Let p(g) = g**2 + 4*g + 6. Let m be p(x). Suppose -a - m = -3*f, 0*f - a - 13 = -4*f. Solve -3*c - f = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 847565, 1695110, 2542639, 3390146, 4237625?\nAnswer: 5085070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m*((m**(-1\/4)*m)\/m)\/m*m*m)))**(-33)\/(m**0)**(1\/16))\/((m**(-3)*m)\/m**(3\/2)*((((m*m**2)\/m)\/m*m*m)\/m)\/m*m*m**1*m) assuming m is positive.\nAnswer: m**(-365\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 - 4 = -l, 0 = l - 2*o + 5. Let j be 1 + (0\/2 - l). Solve 5*d - 2*g - 1 + 21 = 0, 2*d - 4*g + 8 = j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 35671 (c) -769 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*b = 555*b + 761*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061414.57 rounded to the nearest 100?\nAnswer: 1061400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-1)*y)*y*y*y**(4\/5))\/(((y**(1\/2)*y*y)\/y)\/(y*y\/y**(1\/3)*y)))**1 assuming y is positive.\nAnswer: y**(149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 32 = -4*n, -16*n + 5614*x = 5610*x - 68 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47847 (base 9) to base 10.\nAnswer: 32038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + j - 4163 - 1312, -5*j + 5487 = 3*c. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 13*k**2 + 40*k - 2. Give q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/15)\/(2\/36). Find the first derivative of 0*s**4 + 5 - 9*s**4 + i*s**4 wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7449.14 decades to centuries.\nAnswer: 744.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:26 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 100 = 16*s. Let f(w) = -2 + 7*w + 2*w**2 - 3*w**2 + 6 - 2*w**2. Let v(h) = -2*h**2 + 4*h + 2. Calculate s*f(r) - 7*v(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*j = -154*j + b + 18, j - 2 = 4*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115326 - 11?\nAnswer: -115337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740543?\nAnswer: 131, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -237, 2\/11, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 - -316. Suppose 0 = -x*g + 117*g - 180. Solve -6*c + g = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let j(b) = 4*b**3 + b. Let l be j(1). Let p(k) = 5 - 7*k + 0*k - k + 7*k. Let d(a) = -a + 6. Let u(h) = l*d(h) - 6*p(h). Determine u(r(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -2751968.\nAnswer: -550393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-178)\/(-16) + -3 - 1 and 34\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(180) + -3) + (5 + (sqrt(180) - sqrt(180)*-5))**2.\nAnswer: 372*sqrt(5) + 6499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/12 + -2 + 118\/6. What is the smallest common multiple of 2 and d\/(-6)*(-18)\/15*8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20303 by -1.\nAnswer: 20303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224802?\nAnswer: 2, 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y - 4. Let i(q) = -9*q + 3. Let h(p) = 4*i(p) + 5*l(p). What is h(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50167.276115+0.1\nAnswer: 50167.376115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 850 = -22*c + 17*c, 0 = -4*c. Does 45 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + (-18)\/27. Let w(t) = -5*t**3 + t + f + 6*t**3 + 2 + t**2 - 1. Let l(d) = -d**3 - 2*d**2 - d - 2. Calculate -l(b) - 2*w(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5631, 3, 1\/7, -2\/9, 50, 0.4?\nAnswer: -5631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-4))\/((-1657)\/(-11599)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j - 22985 = 825*j + 446*j - 102480 for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -4 + 11)\/1. Suppose -4*a + 5 + y = 0. Find the second derivative of -4*r - 3*r - 2*r**3 - r + 4*r**a wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195\/28 + -29\/4. Let y = -65\/27 + 22\/9. Sort 1\/7, -2\/5, k, y.\nAnswer: -2\/5, k, y, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4223 (base 5) to base 2\nAnswer: -1000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f + 22. Let b = f + -3. Find the third derivative of -10*n**2 - 11 + 11 - n**4 - b*n**4 wrt n.\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13. Let i = 32 + -22. Solve 2*l + i = -p*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 1\/4, 2, -48?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i = -30 + 130 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 33*p + 198. Sort 2, 0.1, p in descending order.\nAnswer: 2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 9:29 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*a - 96*a = 13850 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1861525650 to the nearest one hundred thousand.\nAnswer: 1861500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2430) + -1*sqrt(2430))*-6)\/(sqrt(40)\/(sqrt(196)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f + 17*f + 165 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -15. What is the remainder when 2 is divided by x + 1\/(-3)*-15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 35 = -3*y + 5*x, -3*x = -y + 14. Let k(c) = 38*c**2 + 1. Let t be k(2). Suppose y*g = 162 + t. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1153\/3 + -3461\/9. Sort -2\/7, 2, 16, u, 5\/2 in decreasing order.\nAnswer: 16, 5\/2, 2, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/(22\/(-11))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drewt. What is prob of sequence rwd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 + n**3 - 3*n**3 + n**3 + (4*n - 4*n - 3*n)*(54*n**2 + 144*n**2 - 87*n**2).\nAnswer: -334*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 122. Let n = 97 + w. Is (n + -2 + 1)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 522588736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16022 > 16051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let s be r\/8 - 93\/(-24). Suppose 4*m - 25 = s*b - 5*b, -5*m - 52 = -b. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4531 + 9159. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 4158 = -8*q. What is the lowest common multiple of 90 and q?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46068 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: How many tonnes are there in 28.6087ng?\nAnswer: 0.0000000000000286087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrchchhrch. Give prob of picking 3 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1314.87 - 1337. What is t rounded to 0 decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l - 10*l**2 - 65 + 89 + 3*l**3 + 3*l - 5*l**2 - l.\nAnswer: 3*(l - 4)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*t + 5. What is the lowest common multiple of 10 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 9 = 0. Let x(y) = 36*y**2 - 25*y + 47. Let l be x(2). Let d = l - a. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 87.5. Let l = r + 5.5. Let q = -33.5 - l. What is q rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -x - 8, x = -2*j - 423 + 418 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7008.106 decades to months.\nAnswer: 840972.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*4383777.\nAnswer: -1315133.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 5 - (9 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21633 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.114 + 0.086. Let z = -0.43 + 0.46. Let h = -0.07 + 0.57. Which is the fourth biggest value? (a) 1 (b) h (c) u (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/144 + (-1012)\/(-18). Let k be ((-10)\/7)\/((-4)\/a). Calculate the highest common divisor of 180 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(76) + -3)*-6 + (5 + sqrt(76)*1 + sqrt(76) - (sqrt(76) + 0)*2)**2.\nAnswer: 43 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 8776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 6*c**2 + 6*c. Let l be q(-4). Suppose 0 = -0*n - n + 6*n. Solve 4*b + n + l = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2)\/(-4)*-90. Suppose -3*x + 0*x = p. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odo when three letters picked without replacement from edeoodeedf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((3332\/84)\/(35\/45)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 3. Let y = 0 - -6. Let f be n(y). Solve f*k + 11 = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose 5*y - 4*q = 19 + 53, -2*q = 5*y - 84. Suppose v*r = 12, -h = -3*h + 4*r + y. What is the greatest common factor of 35 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190 or -161?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-28896)*7*(-9)\/12\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (-1*sqrt(209) + sqrt(209))) + sqrt(209) + sqrt(209))*3 - (sqrt(209) - 4*sqrt(209)*2))\/(sqrt(1584) + 1*sqrt(1584)*5).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158144\/25 - -6324. Find the common denominator of -34\/35 and q.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 20997810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b**2 + 6*b - 20. Suppose 18*q = -3*q + 63. What are the prime factors of y(q)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/78 and -97\/48?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 143783.9 centuries?\nAnswer: 14378390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.3 (c) 3 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -149?\nAnswer: -5\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -19. Let j = 22 + m. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767272 (base 8) in base 14?\nAnswer: -2cb838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*j + 19, -2*j - j = -5*i + 25. Is (-4 - (-974)\/4)\/(i\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -18. Let i = -11.00036 - n. Round i to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -20.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337 + -33. Suppose 179 = r + 5*u, r + r - 4*u = 302. Let y = m - r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 12. Let g be s(-9). Solve 11 = 3*q + 5*r, -4*r - 2 = -4*q - g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 13. Calculate the lowest common multiple of 71 and r(8).\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/(1\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s**3 - s - 13*s**4 + 6*s**4 - s**2 + 7*s**4 + 3*s**4 to the form w*s + p*s**4 + r*s**3 + q + m*s**2 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 34*q - 17. Calculate the remainder when x(4) is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, 17, 241, 669, 1367, 2401, 3837, 5741?\nAnswer: 8179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 473.\nAnswer: -18\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1584\/96*16\/24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Suppose 2*z + 4*p = 62, 58 = 3*z - h*p + 3*p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**3 + 73*s**2 - s + 5418 wrt s?\nAnswer: -3*s**2 + 146*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*v*x**2 - 144*v*x - 2*v - 14*x**2 wrt x?\nAnswer: 28*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.3, -3, -2.34, 3 in descending order.\nAnswer: 3, 0.6, 0.3, -2.34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238418 + -125.133872.\nAnswer: -238543.133872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22722564 is divided by 102817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1191550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/70*12\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((59\/(-118))\/(4\/(-9144)))\/(234\/26)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -866, -7, -3 in increasing order.\nAnswer: -866, -7, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -3*l**2\/2 - 2*l + 10. Let h be (-2)\/(4\/14) + 2. Let g(v) = 4*v + 2. What is h*g(p) - 6*f(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjkk when four letters picked without replacement from {j: 2, s: 1, k: 4, p: 2, a: 3, i: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -153*c + 11180. Calculate y(71).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3642 is divided by 3633?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6207 - -6209. What is the second smallest value in l, 0.0707, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1349 + 1361. Let x(a) = 2*a - 11. Calculate x(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15073 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -2, 0, -26 in descending order.\nAnswer: 3, 0, -1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/((b*b*b**(16\/3)\/b)\/b))\/b**(-7\/4))**18)**21)**9 assuming b is positive.\nAnswer: b**(-10773\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + (6 - 3) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72526613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 + 20*a**3 + (-a**2 - 3*a**2 + 6*a**2)*(-1 + 1 + 2*a) + (-1 + 1 - 1)*(a**3 + 0*a**2 + 0*a**2) + 4*a**3 - 2*a**3 + 0*a**3.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41831175.\nAnswer: 3, 5, 47, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -46*z**2 - 88*z - 10. Let r(d) = 4*d**2 + 2*d + 1. Give 11*r(m) + s(m).\nAnswer: -2*m**2 - 66*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100197362904211.94999995 + -100197360596608. Let q = -2307604 + o. Let z = 0.05 + q. What is z rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0777 take away -137?\nAnswer: 135.9223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/3)\/h*h**(2\/25) assuming h is positive.\nAnswer: h**(-169\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 4. Suppose -u + r + 3 = 0. What is the second derivative of -2*h**u - 2*h + 0*h + 0*h**5 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-3 + (-4)\/(-2)). What is the second biggest value in i, -2, 0.4, 25\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4949850 by 5.\nAnswer: 989970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -4, 27 = 3*v - 4*l. Suppose -v*c = 13 - 43. Find the third derivative of g**2 + 2*g**6 + 0*g**6 - 3*g**c wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 35 = 0. Is w less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(68)*-3 + 1))**2.\nAnswer: -1800*sqrt(17) + 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00510644 rounded to 5 dps?\nAnswer: 0.00511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53692)\/(-433))\/(4\/(-2)*2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sccchsccscchcsssc. Give prob of sequence ss.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-117)*15903\/(-4712)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 o, and 1 t when four letters picked without replacement from xxtfoftfffxoofxgo.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002633 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 8813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -68 - 87. Let a = -19 - -23. Suppose 0 = 3*r + n - 0*n - 1, -2*r + 5*n = 5. Solve r*d - 3*d = -a*b + y, 3*d = -2*b - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -54, -73, -92, -111, -130?\n\"Answer: -19*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 5*q. Let z(k) = -k + 1. Let j be z(2). Let i(t) = -2*t**2 + 369*t + 1120. Let o be i(-3). Let m(x) = -x**2 - x. Give j*f(p) + o*m(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75 and 0.71?\nAnswer: -53.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) - (-1 + sqrt(432)) - sqrt(3)).\nAnswer: -48*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z. Let s be (8 - z) + (1 - (3 + -4)). What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.46 and 0.15.\nAnswer: 2.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5865 (base 12) to base 2.\nAnswer: 10011010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7)*((-96)\/(-7920))\/((-2)\/(-5)).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, a: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(280\/(-165)) + 3\/(-12). Solve 2*d = -o*d - 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2548 - 1799. What is the units digit of 21\/126 - v\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1008\/105)\/(-14*1\/(-70))*-1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/20)\/((-4)\/8))\/((-1728)\/(-2592)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 2\/(-3) - (-17)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8628 - 2*f**2 + 8628 - 499*f**3.\nAnswer: -499*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -689, -1085, -1543, -2081, -2717, -3469, -4355?\nAnswer: -5393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12014 + 2?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 27*b**2 - 30*b - 75. Give d(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 3:45 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.6? (a) 131 (b) 0.04 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 13 + 7)*(-3*y + y - 4*y + (-2*y + 1 - 1)*(2 + 1 - 4) - y - 4*y + 4*y) to the form k + w*y and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(3276\/(-48))\/7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 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: Let g be (-11)\/(-4) + 5\/20. Suppose -g*q = -5*b + 7, 4*q + 0 = 5*b - 1. Solve 1 - q = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10478 and 3887?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/7 - 10\/70. Solve -2 = -q*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/319 and -43\/4?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 877603539 to the nearest one hundred thousand.\nAnswer: 877600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbeog. What is prob of picking 1 g and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0 (c) -32750578\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84643?\nAnswer: 13, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, -132 in ascending order.\nAnswer: -132, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*l = 11, -3*b + 4*l - 10 = -33. Let z = -70.5 + 63. Let m = z + 7. Sort m, b, -2.\nAnswer: -2, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995026789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-15))\/(-4))\/((-8)\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -i + 4*h, -12 = 5*h - h. List the prime factors of i\/15*3\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u + 1. Let f be x(8). Let r = f + -3. What is the tens digit of r\/((-6)\/33 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -9.9. Let s = n + 9.0635. What is s rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-24)*(w**(13\/4)*w)\/w*w assuming w is positive.\nAnswer: w**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, -5 in decreasing order.\nAnswer: -3, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -4073d?\nAnswer: 40743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1\/7 (c) 1.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1079\/747)\/(((-3)\/(-1))\/(-9))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1887125 and 29675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-45))\/((-38)\/855)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17917 <= 19288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nslu when four letters picked without replacement from {l: 2, n: 3, s: 1, u: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451230.3 nanograms to micrograms.\nAnswer: 451.2303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 + 15*z**2 - 8*z - 2. Let a be o(4). Let r = -1664 + 2644. Calculate the greatest common factor of a and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 8*p**3 - 112*p**2 - 184*p - 84.\nAnswer: 4*(p - 7)*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 + 50.4. Let j = 46 - d. What is the closest to j in 2, -2\/11, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -226.2.\nAnswer: -226.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + b - 2*b + (4*b - 3*b - 3*b)*(6 - 4 - 3) - 2*b + 2*b + b + (0 + 6 - 3)*(0*b + b + 2*b) + (-2 + 1 + 0)*(-2 - 7 - 8)*(2*b + 3*b - 3*b).\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/8, 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 + 1000*b = 0.\nAnswer: -250, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.6, 6, -0.09 in descending order.\nAnswer: 6, 0.6, -0.09, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-32)\/(-20) - 2. Let n = 0.02 + -0.42. Let r = -0.9 - n. Which is the closest to -2? (a) r (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0749 (b) -3 (c) 3\/8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 6)*(11 + 5*g - 11) to the form i + f*g and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 - t**2 - t - 1. Let h be v(-1). Let z = h + 11. Solve z*q = -0*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22667.4882 seconds?\nAnswer: 0.2623551875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o - 4004 = -104*o + 34*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 843 = 951 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -109.1 in 0.4, 2, 0.1836, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 855 = 19*v. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -32, 0, -8, 5.\nAnswer: -32, -8, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464\/763 + 4\/109. Let b = -3.02 + 2.92. What is the closest to 0.4 in -4, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6470270996 from -4.\nAnswer: 6470270992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3 + 3*j**2 - j - 4*j + j - 6*j + 20*j. What is h(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59699047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*j + 5134*j = -2922*j + 148529 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + 90?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132415 is divided by 448?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 + 4*w + 3. Let y be r(6). Suppose -55 - y = -2*i. Let z(o) = -o + 6. Calculate the remainder when i is divided by z(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3897 and 1?\nAnswer: 0.3897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27664.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6064?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 506.7, -1\/4131, -1\/5 in descending order.\nAnswer: 506.7, -1\/4131, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 14, w: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -361, -436, -561, -736?\n\"Answer: -25*d**2 - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2372\/9, 1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.74692855 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22400548 + -0.224. Round q to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -104c2?\nAnswer: 104c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 112.39 and -0.0254?\nAnswer: 112.4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8395 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.29045l to millilitres.\nAnswer: 19290.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 1. Let w = 15 + -13. Let i be ((-2)\/w)\/(1\/(-3)). Let h(g) = -g**2 - 1. Give i*h(c) - 2*l(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 3*l + 138 = 19*c, 5*c + 4*l = 174. Solve -24*h - c = -30*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21185 divided by 7257?\nAnswer: 21185\/7257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 5545*k**3 - 135500*k**2.\nAnswer: -5*k**2*(k + 25)*(k + 1084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 280*m*w*z**2 - m*w - 62*m - 2*w*z - 12*z**2 + 1 wrt w.\nAnswer: 280*m*z**2 - m - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7523.00040225 - 7523. Round s to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(4\/6))\/((-3)\/6). Suppose -6*f + 11*f - 4*j = 3625, -5*j - 2188 = -x*f. List the prime factors of f.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0.5. Let s = -3 - p. Put s, 3, 1 in ascending order.\nAnswer: s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, 2, 1, 141, -5.\nAnswer: -5, 1, 2, 5, 20, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116039740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 35749 + 9958 = -5*w, -2*w + 6447 = f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let c(z) = 136*z**2 - 300*z**2 + 139*z**2. Give v(c(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3594 - 65491\/1198. Is -56 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12 + 27*d + d**2 + 25 + 46 + 0*d**2. What is the remainder when m(-25) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3866 = -8*p + 3930 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -33. Suppose 3*x = -a*o, 6*x - 5*o = 2*x. Suppose -3*m + s + 94 = x, -3*s = -2*s + 4. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 + 13 + x + 5*x**2 - 6*x**2 + 6*x**2 - x**2. Let f be p(3). Solve 0 = 2*s + 4, 2*s + s = -b - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1.36, -4\/7, -8\/73?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 4, 9, -5, 2 in descending order.\nAnswer: 161, 9, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 - 105 = -5*i. Let u be (-3)\/(-3) + 2 + (-1 - 0) + 0. Suppose -l = 4*p + 42 + u, 3*l = 3*p + i. Which is greater: -62\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 152\/(-95)*735\/(-2). Put -1, 5, d in ascending order.\nAnswer: -1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4643 - -16325. What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 4978306*a - 4978306*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 775 divided by 5\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8274558?\nAnswer: 2, 3, 127, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2*h**2 - 2*h**2)*(0*h + 44*h + 6*h)*(-3 + 2 - 4).\nAnswer: 1250*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:35 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -2697306.\nAnswer: -23\/899102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 91 = -31. What is the tens digit of (-8)\/(-40) + (-338)\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13811456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 70179830?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 453970 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13003131, -26006379, -39009617, -52012839, -65016039, -78019211, -91022349?\nAnswer: -104025447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 39. Let c be s(-9). Let r = c - 28. Let -8 - 9*h**2 + 8*h - 2*h**3 + 4*h**2 + 4*h**2 + 3*h**r = 0. Calculate h.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1121*i**2 - 133*i - 133. Let s be 11 + (10 + -19)*1. Let d(r) = 17*r**2 + 2*r + 2. Calculate s*f(c) + 133*d(c).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16625 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-13 - (-15 - -11)) + 5 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2080*o - 260. Let l(q) = -11 - 1 - 80*q - 8 - 80*q. Let j(b) = 40*l(b) - 3*r(b). Let u be j(7). What is u rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81419448991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/946, 0.06, 4 in decreasing order.\nAnswer: 4, 1\/4, 0.06, 1\/946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -31*g**2. Suppose 5*x + 5 = 5*s - 220, x = 3*s - 139. Let c(j) = 2*j + 47 - s. What is r(c(a))?\nAnswer: -124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 32577?\nAnswer: 521232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 43. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = 2. What is the first derivative of 6*p**3 + 15 - 11*p**g + 25 wrt p?\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 3*n**2 - 5*n - 6. Let f be i(-4). Let h(r) = r**2 + 4*r - 7. Let z be h(-6). Sort z, 0, f in descending order.\nAnswer: z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-152)\/36*(-6)\/(-8) and ((-58)\/6)\/(7\/(-6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -21. Let y = -9 + h. Let o(b) = b. What are the prime factors of o(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47577715 is divided by 201?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 263, 507, 917, 1499, 2259, 3203?\n\"Answer: f**3 + 77*f**2 + 6*f + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -4, 3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*x - 26*x - 1 + 284*x + 2 to f + t*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 96\/(-112)*(-56)\/(-24). What is the second biggest value in -10\/7, -5, -3\/22, d?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67052 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-76)\/474 + 2\/12. Let w = h - 323\/1106. Which is the second biggest value? (a) w (b) 2\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/23 smaller than 0.1204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 32*j = u + 7, -4*u = -3*j + 13. Let k(i) = -i**3 - 5*i**2 + 22*i + 105. Let o be k(u). Which is bigger: 2\/427 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:32 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*g - 85*g + 1772. Suppose -43 = -9*f + g. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (91*m + 47*m**2 - 91*m)*(-m + 2 - 2)*(-3*m + 3*m - 2*m).\nAnswer: 94*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 3, u: 3, n: 2, i: 10}. What is prob of picking 1 i and 1 x?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22 and 11035812905?\nAnswer: 11035812927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724 = 9*z - 7*z. Let s = 696 + z. Suppose 2*h = -0*h + s. What are the prime factors of h?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15 + 30. Let t = 21 - x. List 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 6, what is 12151150 - -2?\nAnswer: 12151152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 1*sqrt(2448) + ((-2*sqrt(2448) + sqrt(2448))*1)**2).\nAnswer: 36*sqrt(17) + 7356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4694*q**2 + 5. Let m(t) = 8850535*t**2 + 9428. What is -5*m(c) + 9428*w(c)?\nAnswer: 2357*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 318 + p - 128*p**2 - 130*p**2 - 230*p**2 - 246*p**2 - 317 in the form z*p**2 + v + r*p and give z.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243995180 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 685 (b) -5591.28 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1 = 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6396d6 (base 15) to base 8\nAnswer: 22051723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 24 = -20*o. Calculate the smallest common multiple of 9 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 - -2.96. Let d = 0 + b. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13 = -3*x, -2*q - 4*x + 17 = -9. Solve 2*t - q*n - 25 = 0, 4 = -n - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2145031 - 2155?\nAnswer: -2151230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Suppose 0 = -2*b + 12 - 4. Solve 0 = f*l + b + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0734 and 163?\nAnswer: 162.9266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81774, -162816, -243880, -324978, -406122, -487324, -568596, -649950?\n\"Answer: -2*u**3 + u**2 - 81031*u - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 50*t**4 + 89*t**3 + 332*t**2 + 192*t.\nAnswer: t*(t - 48)*(t - 4)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 - 1281 + 6 - 2952 + 8*o**3 to k*o + g + y*o**2 + h*o**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((5*(sqrt(147) + 0))**2 - sqrt(147)) + (-1 + -1*sqrt(147))**2)*-5.\nAnswer: 140*sqrt(3) + 76460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from {i: 4, x: 2, o: 1, p: 3, b: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1944563 - 10\nAnswer: -1944573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4.5+108.4\nAnswer: 112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222011120 (base 3) in base 8?\nAnswer: -230456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2394 = -3*v, 0*z + 3*z - 9 = 0. Let s = v + 804. Which is the nearest to s? (a) -52 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -394, -393, -392, -391?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/42405 and 37\/18.\nAnswer: 254430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 15 = -4*q + t, 4*t + 2 = -2*q. Let c(u) = -u**2 - 3*u + 2. Let k(a) = -a. Let p(z) = -c(z) + 5*k(z). Does 13 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17471, -17693, -17915, -18137, -18359?\nAnswer: -18581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/4)\/(48\/(-64))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5770024?\nAnswer: 2, 13, 109, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 529879452 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2056354 and 1054.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 38 + 2 = 0. Suppose -d = -6*j - 2*j. Solve f = -4*n + 3 - 14, 3*f + 5 = -j*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 19185476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.113232 centuries?\nAnswer: 611.3232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.08 + -5. Let v = y - 0.0556. Let i = -21.0756 - v. What is i rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 3*g - 3*b, -397 = -2*g + 2*b + 3*b. Let h = g + -195. Let l(j) = j**2 - 5*j - 7. What is l(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*u**2 + 51*u - 11535 wrt u?\nAnswer: -302*u + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/55 and -117\/493720.\nAnswer: 5430920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 38403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2070 and -10343\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375885 is divided by 124659.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(-2\/9)))*h)**43\/(h**(-24\/5))**38 assuming h is positive.\nAnswer: h**(11648\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370\/85 + 1022\/595 + (-40)\/25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/12695325?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 4*a**2 + a - 2. Let x = 6 + -3. Let s be k(x). Suppose 0 = -b + 5*b + 5*n - 95, 4*n = -4. What is the highest common divisor of s and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8634 - 2.1915. Round z to one decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -158 - y - 2*y + 4*y + 157. Let s(i) = -i**2 + 3*i - 3. Calculate 7*g(c) - 2*s(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2.79, 5 in descending order.\nAnswer: 5, -1\/2, -2.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1aa1128 (base 12) to base 14\nAnswer: a7d3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrrdrdrrdrkr. What is prob of sequence drdr?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 62 = 74 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(176))**2 - (4 + sqrt(11) + 0)**2)*-5.\nAnswer: -765 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -27020411\nAnswer: 135102055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 3 + 2 + 6. Let k = i + -2. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:57 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -109, 3\/29, 0.3?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -4915.\nAnswer: -181855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 5 - 5 + (-3*a + 2*a + 4*a)*(4*a**2 - a**2 + 0*a**2) to the form z + i*a + v*a**2 + y*a**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29281*n**2 + 14238*n**2 + 14515*n**2.\nAnswer: -528*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23*(-6)\/30*5. Let b(g) = -8*g - 179. Let f be b(a). Solve f*t + 20 = 0, -6*p - 18 = -5*p + 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 46*h + 12. Let l be o(3). Let v be (32*-4)\/(3\/l). Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n. Let t(f) = -32*f - 1. Let u(o) = -65*o - 70. Let q(w) = -2*t(w) + u(w). Give r(q(v)).\nAnswer: -6*v - 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 15, -5*k + 381*o - 383*o = -3*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 937340 and 6740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2128 and 121676.\nAnswer: 3406928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 670 (b) -5 (c) 0.06 (d) 0.1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 1. Let i(x) = 2*x**2 + 18*x + 4. Let n(z) = -i(z) - 4*w(z). Factor n(q).\nAnswer: 2*q*(q - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -4 - 2. What is the units digit of (33\/15)\/(g\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88130 is divided by 672?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 128, -2 in increasing order.\nAnswer: -2, -1, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 9*g - 12*g + 381, 0 = -p - g + 375. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10902225 at most as big as -10902225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6593 - -6594. What is the fourth biggest value in 5, 6, p, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Calculate the remainder when 19 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 divided by 1?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10066?\nAnswer: 2, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11764 is divided by 2347?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/1035 and 59\/903399?\nAnswer: 311672655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13824134 is divided by 310?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4\/6 - h**3\/6 + h + 1. Let i(l) be the first derivative of r(l). Suppose 0 = -f - f + 2. What is i(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + -6*-4*sqrt(117)*5 + 1)**2.\nAnswer: 5040*sqrt(13) + 1684849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.5, 0.6, 5.7, -1\/10?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4434\/5 + 884. Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -5\/2, 11.3, -2\/5, 18, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72850*m**4 + 2*m**2 - 40209 wrt m?\nAnswer: 1748400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riyqyqy. Give prob of picking 1 q and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 + 4*n**3\/3 + n**2 + n. What is o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7565415 divided by -137553?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = a - 36, -2*r = 3*a + 14. Suppose -5*p + 439 = 2*z, -5*z + p = -600 - 430. Let v be z\/45 - 4\/r. Solve 3*k = 2*k + v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsssssssslssls. Give prob of sequence sl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 59 = -3*k. Suppose -p - 2*p + k = 0. Suppose 3*a - 19 = -4. Solve 4*w = -4*v + 16, 3*v - a*v - 3*w + p = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10342 + 1. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20*m - 86. Let w(x) = -4*x + 17. Let r(h) = -6*j(h) - 28*w(h). Is 10 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*n - 4980, m - 17 - 961 = -3*n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(20\/3)\/(f*f\/f**(-2\/7)*f))**(-1\/12) assuming f is positive.\nAnswer: f**(-71\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 19*u**2 + 19*u + 12. What is o(20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2379 + -1649. Suppose -6*c = -b + 322. Is 44 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let o(w) be the third derivative of 0*w - 6\/5*w**5 + 0*w**4 - 6*w**2 + 0*w**3 - 5. Give o(g(l)).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 5*z + 2520. Let y = z + 281. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147419383.\nAnswer: 29, 193, 26339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-6))\/(-99))\/(1\/3).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -8508 and -8498 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2890\/21003 + 10424060147\/420060. Let o = -24818 + b. Calculate the common denominator of o and -45\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 54. Suppose 0 = -3*y + 10 + 2. Let n = -2 + 1. Put t, y, n in decreasing order.\nAnswer: y, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(4\/11)))*q**(-1\/18))\/(((q**8\/q)\/q)\/q**(20\/3)))**(4\/21) assuming q is positive.\nAnswer: q**(782\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 10*q + 1. Let g = -102 - -95. Calculate y(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:07 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65292 = -3567*v + 20316 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -776, 3, -5 in ascending order.\nAnswer: -776, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2782236, 2782237, 2782238?\n\"Answer: y + 2782235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (82 + 0)\/((104\/13)\/56) is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.49, 4\/33, -5 in ascending order.\nAnswer: -5, -0.49, 4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 97.1626698ns?\nAnswer: 0.0000000000001606525625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 37*x**5\/20 + x**4\/12 - x**3\/3 + 3*x. Suppose 17*l = 12 + 5. What is the remainder when 177 is divided by y(l)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082854386 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 456672458 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from bbbvpbnbpvbbfbbpbabb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 5, h: 5, e: 2, p: 1, c: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b - 9. Let x(v) = 9*v - 8. What is 7*x(c) - 6*z(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474804 - 2472*q**2 - 474804 - 2335*q**2 to l + r*q + h*q**2 and give h.\nAnswer: -4807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {k: 1, m: 10, y: 2, r: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -56. Suppose -7 = 5*y + 3*w + 8, 0 = -y - w - 1. What is the remainder when (-596)\/(-11) - y\/(-33) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.63 - -2.63. Let q = 319\/5 + -64. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftzreerzrvrrfrrv. What is prob of picking 2 r and 1 f?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/52)\/(12\/(-48))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -439004 divided by 4?\nAnswer: -109751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 6, -2, -0.1 in descending order.\nAnswer: 14, 6, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:01 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (357\/12)\/7 - 1\/4. Solve 4*b + 4 = x*f, 5*b + 4*f = -15 - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33aaa (base 11) to base 16.\nAnswer: -c05e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6571772\/15 or -438117?\nAnswer: -6571772\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 80, 3, 1, 5, -2 in ascending order.\nAnswer: -21, -2, 1, 2, 3, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (33 - 11 - 28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/60*(-1)\/6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(108)*-3 + sqrt(108))**2 + ((sqrt(363)*-2)\/sqrt(11))\/sqrt(11).\nAnswer: -122*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6515, 52264, 176525, 418580, 817711?\nAnswer: 1413200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1253069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 11. Let q(b) = 13*b**2 + b - 46. Give -18*p(w) - 4*q(w).\nAnswer: 2*w**2 - 4*w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 72 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 682 and 26660?\nAnswer: 293260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 151*a**4\/8 - 305*a**3 - 5189*a**2\/2 + 44814*a - 7056 = 0.\nAnswer: -12, 24\/151, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 904976 + -2418798. Let m(b) = 65238*b**2 + 25*b + 114. Let q be m(-4). Let f = q + z. Round f to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 32494.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let y = a - -5. Suppose 0*m + m = y. Solve 3*v - m*k + 6*k - 15 = 0, -3 = -5*v + 4*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13. Suppose -3*i + 113 + 16 = v. Let k = i + -16. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(3078)*-1)\/(-5*sqrt(242)*-3*2).\nAnswer: -9*sqrt(19)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:26 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2. Let y(x) be the first derivative of 2*x**3\/3 - 12. What is y(v(g))?\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -167. Determine d so that -w + 5*d**2 - 7*d + 2*d + 38 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, u: 6}. What is prob of sequence duu?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 15 = -19*q. Suppose q*w = -0*w + 12. Let a(z) = z**2 - z + 4. Let y be a(0). Solve -2*i = -0*p + 3*p - w, 0 = -2*p - y*i - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 51.5. Let u = 2 + 1. Put u, l, -1 in ascending order.\nAnswer: -1, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(-10) assuming j is positive.\nAnswer: j**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322691?\nAnswer: 7, 41, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-553312)\/64)\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-4 + 4 + 4) - 5. Let t(k) = -k. Let r be t(5). Are r and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s*s*s**(2\/11))*s**5*s*(s\/s**4)\/s*s*s)\/((s*s*s\/(s\/(s\/(s\/(s\/(s\/s**7*s))))))\/s**(2\/5)*((s*s**(-1))\/s)**34) assuming s is positive.\nAnswer: s**(1827\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37301*k**3 + 55044*k**3 + 79762*k**3 + 37774*k**3.\nAnswer: 135279*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, s: 3, j: 1, r: 4, l: 2}. Give prob of sequence jrqq.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14406 + -14412. Which is the fourth biggest value? (a) r (b) -5 (c) 2 (d) -0.3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17112)\/1090890*((-45)\/(-24))\/3?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*o - 4*o - 23, 9 = -3*o. Let u(h) = -94*h + 8. Let p be u(w). Let x = p - -195. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 22413032*z - 3. Let w(l) = 4*l. What is w(t(h))?\nAnswer: 89652128*h - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1987? (a) -33 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4\/11 + 7100*o**3\/11 - 4244994*o**2\/11 + 701752896*o\/11 = 0.\nAnswer: 0, 351, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-15))\/(((-4)\/(-22))\/(15\/15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.25 - -0.55. Which is the second biggest value? (a) z (b) 0.4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600\/720*756\/196?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/7)\/k))\/k**(-1\/5)*k**(-3\/5)\/(k**(1\/4)\/k))**(4\/3) assuming k is positive.\nAnswer: k**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 643907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123*f**4 - 5 - 119*f**4 + 235*f**4 + 17 with respect to f.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 51*n**2 - 94*n - 160. Is h(47) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let u = 46 - 71. Let f = 24.8 + u. Which is the third biggest value? (a) 0.4 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 436\/(-76) + 3 + 2. Let j = y + -11\/114. Is j smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-795 - (-6)\/3). Suppose -6990 = -b - 2*l, c = -3*b + 3*l + 21806. What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 6 = -9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - x + 2*x + 9 = 0, -6 = -2*x. Let n(j) = -3*j + 0*j**3 - 5*j**2 + 0*j**3 - j**3. Calculate n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 7. Calculate the greatest common divisor of 180 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 10*f**2 - 12*f + 62. Determine y(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 42*d**2 + 16*d - 428. Is j(-15) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = 6*y + 5*y. Let l = 85 + y. Find the first derivative of 16*f**3 - 7*f**l - 19 - 8 wrt f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333007 is divided by 1332678.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 853*g - 43385. Give n(59).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 3. Suppose 0 = 5*k + 25, -4*u - 3*k = 5 - 2. Let g = 8 - u. Give b(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305162749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 31\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -0.05 (b) 3\/5 (c) -1 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:00 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9954979 times 5\nAnswer: -49774895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:44 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 1216?\nAnswer: 55\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.01 (b) 2\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 8*i + 4. Let l(q) = -q**2 + 2*q - 1. Let y(r) = -4*l(r) - v(r). Let h(t) = -3*t - 8*t - 8*t. What is h(y(w))?\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055511.\nAnswer: 137, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - 74*b**2 + 12*b.\nAnswer: -74*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -68*z - 1749. Calculate the remainder when 72 - (-1 - (0 + 0)) is divided by y(-26).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*-2*(-1)\/(-6). What is the nearest to 0 in 4, 6\/13, v?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 90. Let o be s(-15). Let z = -713 + 34939\/49. Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51861 + -2?\nAnswer: -51863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4812879.9999925 + 4812885. Let m = b + -5. What is m rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031347143 rounded to six decimal places?\nAnswer: 0.000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1218 + 20*i + 2*i + 1070.\nAnswer: 22*i - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43073 and 6289.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6070927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -109, -113, -119, -127, -137?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 45. Suppose 4*k - 14 = -2*d, u*k + 0*k = 3*d - 54. Let g = -38 - -101. What is the remainder when g is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**2 - 75*w**2 - 12*w**2 + 39*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - k + k)*(2 - 2*k - 2 - 2) + 61*k**3 + 558 - 558 to b + x*k + f*k**3 + m*k**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 8937351*b**2 - 6656375918088*b - 33281656157040.\nAnswer: -3*(b + 5)*(b + 1489556)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -49. Suppose 2*u - s*u + 13 = 0. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*f + 3*f + 497, -4*f - 632 = u. Let a = f - -272. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**6\/15 + 12*y**5\/5 - 35*y**4\/3 + 772*y. Factor r(h).\nAnswer: -4*h**2*(h - 7)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1417977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ojjopojjojjjj?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 437688?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176\/95 - 15529\/2280. Let q = -3415 - -20567\/6. Calculate the common denominator of q and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 26. Calculate the remainder when 66 is divided by a(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z - z. Let s(k) be the third derivative of k**7\/5040 - k**5\/60 - 5*k**2. Let i(o) be the third derivative of s(o). Give n(i(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z + 17*z + 3*z + z**3 + 4 to the form p*z**3 + c + i*z + q*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 860 and 707780.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 3. Let y(n) = -n + 2. Let b(z) = 2*m(z) + 3*y(z). Let c(i) = -6*i. Let f(o) = 39*b(o) - 6*c(o). Let k(g) = -2*g**2. Calculate f(k(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684174611 to the nearest integer?\nAnswer: 26157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 47. Let a = r - -7. Is a*((-5)\/3 + 1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:11 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -521?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {v: 1, z: 1, n: 1, u: 1, b: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0197 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(128) + 4))**2 + (sqrt(14) - -3*sqrt(224))\/(sqrt(7)*1*-4 - sqrt(7)) + -2.\nAnswer: -24013*sqrt(2)\/5 + 29198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*v + 29, -2*v = -8*h + 3*h + 27. Let a(o) = -o**3 + 9*o**2 + 8*o. Let f be a(h). Suppose -54 = 5*y - f. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 68, 74, 90, 122, 176, 258, 374, 530?\n\"Answer: d**3 - d**2 + 2*d + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:43 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 0*s + 2*s)*(-3 + 1 - 3) - 6*s - 8 + 21 - 50 to the form u*s + r and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3273583, 3273553, 3273503, 3273433, 3273343, 3273233, 3273103?\nAnswer: 3272953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k + 22 + 6*k - k + k - 3*k + 0*k + (4 - 5 + 3)*(-6*k + 2*k + 2*k) + k + k - 3*k + k + 3 - 3 + k + 4*k - 6*k - 2*k - 4*k + 4*k.\nAnswer: -10*k + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(2\/(-11) + 70\/(-462)). Solve -y - 5 = s*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 331 and 3410293?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32290 and -4769.6.\nAnswer: 27520.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**4\/2 + 8*v**3\/3 - 11*v**2 + 12*v - 104. Find x, given that b(x) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**4 - 4*w**3 + 4*w**3)*(-37 - 61 + 129) to the form z*w + m*w**3 + o + q*w**2 + f*w**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u**2 - 3*u + 4. Let n be a(-4). Calculate the common denominator of n\/18*(-6)\/12 and (2\/(-28))\/(1\/102).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -425 - -431. Let p(y) be the second derivative of 1\/90*y**5 + 0*y**4 + 1\/27*y**r + 4\/189*y**7 + 0*y**3 + y + 0 + 0*y**2. Suppose p(j) = 0. What is j?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:21 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/7 - 4*(-6)\/12. Which is the nearest to 2? (a) 10 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -17, -10, -4, -1\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/330 + 5*r**4\/66 + 25*r**3\/33 + r**2 - 4*r. Suppose k(x) = 0. What is x?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4352621 or 4352623?\nAnswer: 4352621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27792 and 1654776.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 4:20 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -28*r - 3. Let m be l(-2). Let d = 109 - m. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6731000926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:34 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.5, -78, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.52 and 142.\nAnswer: -925.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 9 + 10 - 20 + 1.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c**3 + 40209 - 40209.\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1 - (-5 + -5). Suppose 0 = -z*m + 4*m. Solve -3*y + 15 = -m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*z + 25*z - 369 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 30, 146, 374, 750, 1310, 2090?\nAnswer: 3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.1, -1.4, -6\/13, 9\/4, 0.323?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.33 - -8.33. Let f = 3 - 3. Which is the second smallest value? (a) d (b) f (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 25*d**2 + 44*d + 43. Let r be x(-26). Let u = 469 + r. What is the remainder when 215 is divided by u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 1\/5, -26.38 in increasing order.\nAnswer: -26.38, 1\/5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/5)*v*v\/v**(-2\/11)*v*v*v**2*v**(-2\/17) assuming v is positive.\nAnswer: v**(6231\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c1cf - 0?\nAnswer: -5c1cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 0.3, -0.0036, -4, 4\/19, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 122\/5, 5, -4, 4, 0.3, -34 in decreasing order.\nAnswer: 122\/5, 5, 4, 0.3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.33 - 1.07. Let j = p + -2.6. Let u = j + 15.3. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 402272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*-1*sqrt(240) + sqrt(240))\/(sqrt(400)\/sqrt(5)))**2 + -4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:45 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -m - 55, 5*s + 2*m - 5*m = -132. Let o = -23 - s. Let 0*q - 1\/3*q**o + 0*q**2 + 0*q**3 + 0 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 559 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 + -3 + 1. Let m(g) = -19*g**3 + 6*g**2 - 4*g. Let b(i) = i**2 - i. Let p(j) = -5*b(j) + m(j). Does 7 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 2*a + 214 - 71 - 70.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:26 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 897*r**2 + 6*r + 8. Let v(z) = -z**2 - z. Let d(l) = t(l) + v(l). Is d(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-1) + 6\/(-3). Suppose -q*c = -8, -2*h - 3*h + 30 = -5*c. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 541370?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 101002121?\nAnswer: -101002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2571 (base 8) to base 14.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*v + b + 21, -2*b + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 148*p + 535. Determine y(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.165 + 11. Let t = 0.065 + q. What is the closest to -1\/2 in t, 0.1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (3 + 24\/(-10)). Suppose 0 = 4*k + 3 + 9. Put k, m, 0 in descending order.\nAnswer: m, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0, -5\/4, -0.24786?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 + -371\/2. Let x = h + 6. Factor 0 - x*r**3 + 0*r**2 + 0*r.\nAnswer: -r**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 24*v + 40 = 5*r, -r - 7 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*z - 16 + 16)*(3*z - 4*z - z)*((-1 + 1 + 1)*(0 + 2 + 0) - 27 + 100 + 7) as v + a*z**2 + h*z and give a.\nAnswer: -3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 + 18336*l**2\/5 - 438768*l\/5 + 2630016\/5.\nAnswer: -3*(l - 6088)*(l - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*d*f*x**3 + 2*d*f*x**2 - 573*d*f - 100*f*x**2 - 1500*x**3 wrt d.\nAnswer: 178*f*x**3 + 2*f*x**2 - 573*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 - 2. Suppose 0 = -12*y + 3*y + 144. Suppose -8 = -4*q - y. Let j(u) = -8*u**3 - 3. What is q*j(n) + 3*i(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 20*s = 14*s - 4. Let x(j) = 98*j. What is x(s)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 6*x - 3. Determine b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3801*t + 3797*t = 96, 49*v = t + 224 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -51 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 + 8*k**2 - 12*k + 10. Let h be l(-6). Let i = h - -1155. Is i 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 {n: 4, j: 3}. What is prob of picking 4 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166, -993, -3226, -7567, -14718?\n\"Answer: -117*l**3 - l**2 - 5*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6342*i**3 - 3*i**2 - 13*i + 26.\nAnswer: -38052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 566.73 and -2.\nAnswer: 564.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132\/247 + 1154\/1235. Which is the nearest to z? (a) 3\/7 (b) -0.05 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*q**3 - 71*q**5 - 58*q + 41*q**5 + 0*q**3 wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnnennnnnnnnnnnn?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:17 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 7*l)*(-4 + 6 - 1)*(-8 - 38 - 176).\nAnswer: 1332*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-30))\/(2\/3). Let z(j) = 375*j**3 - 2*j**2 - 5*j - 2. Let b be z(u). Let t be 155\/(5\/b - 0). Round t to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 42*z + 1. Let w be y(42). Let r(j) = -j - 1. Let i(f) = -2*f**2 + 2*f + 7. Give w*i(p) + 2*r(p).\nAnswer: -2*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7*(-2842)\/1624*658\/(-7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2031 + 2031.39. Is -1\/7 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (138\/(-4))\/(-12 + (-31473)\/(-2626))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 2, h: 2, l: 4, f: 2}. Give prob of sequence xh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35\/(-30) + (-1019716)\/(-24)?\nAnswer: 42487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23902.7nm to meters.\nAnswer: 0.0000239027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-40) - (-326)\/(-5). Let z = -61 - r. What is the least common multiple of z and 10\/4*(2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.09 + 0.09. Let n = 2 - 1. Which is the closest to n? (a) y (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k**3 + 3*k**2 - 43*k + 6. Let d(r) = r**3 - r**2 - 2. Give -c(j) - 3*d(j).\nAnswer: 10*j**3 + 43*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*((-2)\/(-12) + 8\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4988 - 0.0416382.\nAnswer: -1.5404382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 43930000 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 4*l + 2*l)*(9 - 2 - 3) + 3*l - 2*l - 2*l as v + y*l and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1 (c) -9121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, l: 7}. Give prob of sequence ljj.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1966, -0.3, -1\/10 in decreasing order.\nAnswer: -1\/10, -0.3, -1.1966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/(691\/179660).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18215016 and 12528.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 3*f**3 - 5*f**3 + (-9*f**2 + 2*f + 8*f**2 - 5*f)*(-23*f + 7*f - 1 + 12*f) as b*f**3 + k*f + m*f**2 + l and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 836063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 8) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*s = -3192, -50*k + 5*s = -47*k - 4793. What are the prime factors of k?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25888317 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1949*m*w**4 - 2*m*w**3 - 12*m*w**2 + 2*m*w + 2*w**4 - 152*w**2 wrt w.\nAnswer: -46776*m*w - 12*m + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o + 2262. Let q be d(-58). Solve q = 4*y + 4*j - 8, 15*y - 4*j = 14*y - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*g - w + 10269, 4*g = 5*w + 8202. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, -8\/9, 0.2, -194.6?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14054500342 + -5?\nAnswer: -14054500351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**2\/4 + 365148*r - 59889315\/4 = 0.\nAnswer: -486905, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1021181, -2042365, -3063549, -4084733?\n\"Answer: -1021184*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**(-12\/17)*((s*s\/(s*s**(1\/3)*s))\/s)\/s*s*s\/(s**3\/s))\/((s*s**(-1))**(-2\/63))**(-3\/17) assuming s is positive.\nAnswer: s**(-667\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**5 + 4520*i**4 - 36000*i**3 + 107840*i**2 - 143680*i + 71808 = 0.\nAnswer: 2, 1122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 741 and 503022.\nAnswer: 9557418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u. Let o be c(-3). What is the tens digit of -9*o\/(-3) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731532 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ada when three letters picked without replacement from adaaddaaddaadadaaaa.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 61*y - 352. Let f be g(-25). What is the closest to f in 1, 0.3, -8\/23, 3?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17515912 to the power of 1\/2, to the nearest integer?\nAnswer: 4185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/11 + 10630*k**2\/11 - 21268*k\/11.\nAnswer: 2*k*(k - 2)*(k + 5317)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01604215 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483829821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4396 is divided by 628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25039.56 grams to tonnes.\nAnswer: 0.02503956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 554, 588, 636, 698, 774, 864?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15500817 and 13778504.\nAnswer: 124006536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -335, -2\/7, 169, 3\/2, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.17 times -0.4\nAnswer: 0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*j + 1214*j**3 + 5*j - 14*j + 2*j - 5*j**2 - 8*j**4 - 1215*j**3 in the form q*j + o + b*j**3 + n*j**4 + z*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-912)\/(-2888)*2\/((-56)\/38).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -8595909?\nAnswer: -8595909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**3\/15 - f**2\/5 - f\/5 + 5. Suppose q(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -27561.\nAnswer: -5\/27561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/8*4*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**20)**(-19)\/((f\/f**(-1))**(-9\/7)\/((f*f**(2\/7)*f)\/f*f**(-5)\/f)) assuming f is positive.\nAnswer: f**(-1345\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v**2 - v**2 + 0*v**2 + (0*v**2 + v**2 - 3*v**2)*(-3 + 3 + 2).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffeefefffff. Give prob of picking 4 f.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*q + 1\/7*q**2 + 0.\nAnswer: q*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-77)\/14 + (-14)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-18\/7)))**(6\/11)\/(x\/(x\/((x**21*x)\/x)))**(-2\/93) assuming x is positive.\nAnswer: x**(-2270\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7189.345cm in meters?\nAnswer: 71.89345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1) + (-2)\/(-2). Let z = 2 + j. Let y = -5 + 8. Solve z*w + 3 = y*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 27. Let j be s(5). Suppose -9 = j*v + 2*z - 21, -18 = -4*v - 2*z. Solve -v*d + 37 = 4*o + 2*d, 0 = 3*o - 2*d + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42257\/10904 - 1\/2726. Calculate the common denominator of (279\/6)\/(26 - 2) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452211301?\nAnswer: 2003, 225767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. What is the common denominator of (64\/50)\/((-4)\/(-10)) and 154\/8 + k\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 25 = 0, -5*n + 32*u + 3*u - 180 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t + 799 - 4*t**2 - 5*t - 812 - 23*t. Let q be m(-9). Solve -2*o + 2 = -8, -3*h = -o + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 - 369\/15. Let l = -48 - u. Let x = -16 - l. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 16*v**2 - 16*v - 173. Determine g(13).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtb when three letters picked without replacement from wttbtbhbhwhbtwh?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26468 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 9) in base 16?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:43 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 115. Determine k(23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343141014 (base 6) to base 5.\nAnswer: -13143430232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -0.2415112?\nAnswer: -0.2584888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-6)*(-118)\/(24072\/306)\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 8*x**3 - 2*x**3 + 8*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/34 and -23\/187.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-2 - -2)) + 248 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15764518345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 0 + 0)*(-3 - 3 + 4) - 4*p - 5*p + 3*p in the form m + k*p and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 + 4 - -6) + (5 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4505726, 4505716, 4505704, 4505690, 4505674, 4505656, 4505636?\nAnswer: 4505614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57163?\nAnswer: 57163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 44. Which is the fourth biggest value? (a) -2\/13 (b) t (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93632 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1)*(8 + 75\/(-10)). Let g(h) be the third derivative of 1\/120*h**5 - 4*h**2 + 0*h - 1\/12*h**3 + q + 0*h**4. Factor g(z).\nAnswer: (z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 1, d: 5, w: 9}. Give prob of picking 1 s and 1 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 6) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296037 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91904, 89585, 87264, 84941?\nAnswer: 82616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*n = 722 + 646 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -651 + 1560. What is the remainder when m is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253848?\nAnswer: 2, 3, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9170 - 1100*y + 6806 - 4*y**2 + 7964 = 0. What is y?\nAnswer: -280, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -5.971233?\nAnswer: -1.1942466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160050576 by -5716092.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 6 (c) 1\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:01 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 5*u - 30 + 3*u - 24 - 59.\nAnswer: -2*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:19 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 39, 47, 59, 75, 95?\n\"Answer: 2*u**2 - 2*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 at most as big as 0.3794801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 42 = -4*f - 0*k, 0 = f + 4*k. Factor -2*b**3 + 2*b - 8*b**2 + f*b**2.\nAnswer: -2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b19 (base 12) to base 16.\nAnswer: d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 182.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1970.94 + 1971. Which is the fourth biggest value? (a) i (b) 3 (c) 1 (d) 20 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12815*b - 1889 - 3775 = 12579*b for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35002 divided by 37?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8196557 rounded to 2 dps?\nAnswer: 3.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bb4b53 - 0?\nAnswer: 2bb4b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/6032 and 101\/2128.\nAnswer: 802256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 230a210 (base 13) to base 3\nAnswer: 202022011211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. What is the second derivative of 3*o + f*o**2 + o**4 - 4*o**2 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2324509536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50 - -4?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*j + 229*j - 116*j)*(j**2 + 0*j**2 - 20 + 23).\nAnswer: 55*j**3 + 165*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 7*g**2 + 6*g + 1. Let z be w(-6). Let c = 4 - z. Let s(a) = a. Let n(x) = -6*x + 4*x + 0*x + 0*x. Give c*n(r) + 7*s(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8619 + 36729. Suppose -2*l = 3*l - v - d, 5*l - 28105 = 2*v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**3 - 865 + 860 - 2*h + 0*h**3. Let w(q) = -7*q**3 - 2*q - 4. What is -5*n(r) + 6*w(r)?\nAnswer: -2*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -79 (c) 1\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - -0.1. Let q = 0.8 - y. Let w be 2\/(-60)*-4*1. What is the second smallest value in 0.5, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22256 divided by -704?\nAnswer: 1391\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(14 + 6*z - 14) - 53 - 87*z - 56*z + 97 - 45.\nAnswer: -131*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcwwwwwwvzzwcz. What is prob of picking 1 z and 2 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose -7 = y*n + 3. Which is the closest to -1? (a) -1\/3 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3549371\/(-532))\/((-2)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4 + 3466*h**3 + h**2 - h - 171.\nAnswer: 24*h**2 + 20796*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqjjqqqjqqqqqqqqq. Give prob of sequence qjqj.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 + 3538*o\/11 + 3536\/11.\nAnswer: 2*(o + 1)*(o + 1768)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 637, 5125, 17307, 41029, 80137?\n\"Answer: 641*z**3 + z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 59*s**2 + 6*s - 24. Suppose -k + n + 24 = -3*n, -8 = k + 4*n. Let a be l(k). Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 minus -3719219?\nAnswer: 3719219.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -35. Suppose -5*i - 401 = 54*m - 55*m, 0 = -5*m + 2*i + 2074. What is the greatest common factor of n and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1135 (base 6) to base 12.\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -621 divided by 422.\nAnswer: -621\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 8*o**2 + 8*o - 3. Suppose 5*l + 10 = 0, 4*l - 6 = 5*f + 31. Determine q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -4, -0.02, -0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2250*n**3*t**3 + n**2*t + 35*n*t**3 wrt n.\nAnswer: 13500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2527\/(-171) + 16 + 4\/(-6). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbwbbgbbbhbhghh. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, 3 in descending order.\nAnswer: 75, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.41 - -167.59. Let z = 202.7 - q. Round z to 0 decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 188 = 82976*s - 82980*s - 4*j, 0 = -6*s - 3*j + 267 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) + 0)**2 + sqrt(704) + sqrt(704) + (sqrt(1100) + 2)**2 + -1*(sqrt(1100)*5 - sqrt(1100))**2 + 4.\nAnswer: -15788 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3771960 divided by 102\nAnswer: 36980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260\/(-168)*6*58\/(-30)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 36*w**2 - 44*w - 26. Calculate the remainder when u(-17) is divided by 66.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s**2 + s + 4. Give x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 - 9*n**2 - 42*n - 87. Is t(-9) a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(25\/375).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1 - 4*a**2 + 8*a - 3*a**3 - 4*a + 5. Suppose 2*q - 15 = -5*i, -q = -4*i + 4*q + 45. Let c(d) = -4*d**3 - 5*d**2 + 5*d + 5. Give i*b(y) - 4*c(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4191*d - 4572. Let r(s) = -2*s + 2. Calculate 5*a(o) + 11430*r(o).\nAnswer: -1905*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4275*m - 2776. Is s(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1008 - 3685 - 1616)*(2*u**4 - 3*u**4 + 2*u**4) as v*u + a*u**3 + c*u**4 + w*u**2 + r and give c.\nAnswer: -4293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:06 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.14, 5, 573322, -4, 1?\nAnswer: 573322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20927\/108283 + -1\/3493. Let v = -813 + 3251\/4. Which is the closest to v? (a) d (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 1 d when three letters picked without replacement from dsvvdvvmsdlm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 19*l**2 - 244*l + 38. What is the remainder when b(13) is divided by (-3)\/(-5) + (-117)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 3\/20*m**5 + 93 + 0*m**3 - 2*m + 11\/12*m**4 - 153\/2*m**2. Differentiate h(u) with respect to u.\nAnswer: 9*u**2 + 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**7\/1050 + u**6\/300 - u**5\/75 - u**4\/15 + 13*u**2. Let y(w) = 0. What is w?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33581 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*b + 450*b = -122364. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 306626178.\nAnswer: -1\/102208726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z*z\/((z\/z**6)\/z))**(1\/17)\/((z**(-1\/2)\/z)**8)**(6\/23) assuming z is positive.\nAnswer: z**(1431\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwm when three letters picked without replacement from {l: 8, w: 4, m: 2, a: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 + 4 = 0, -h - 4*z - 6 = 0. Let x be h\/10 - (-9)\/5. Let y = x - -14. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -y + 3*y. Suppose 0 = 5*n + y*j - 95, -3*n - 2*j = 2*n - 95. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 + j + 1. Let k = -12 + 6. Let f(h) = -2*h + 5 + 7*h**2 + 2*h - 4 + h. Give k*f(g) + 5*i(g).\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2107623*x. Let u(a) = 9*a. Determine u(w(p)).\nAnswer: 18968607*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -28. Let m = 40 - y. Let q = 31.99999937 - m. What is q rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 3}. What is prob of sequence xx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**2 - 4*o**2 + o**2 to r*o**2 + g + t*o and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792668.\nAnswer: 2, 53, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*a - 40504 = -1060, -5*a = 0. Is m a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 - 194*l**3 + l**2 + 1152.\nAnswer: -24*l - 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24796562*n**3*t**2 + 2236*n**3*t + 3*n**3 + 2*n**2*t - 2*n**2 - 67*n - 8*t wrt t?\nAnswer: 49593124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(39)\/sqrt(3) + 0)**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 17*p**2\/3 + p\/3 + 140\/3.\nAnswer: (p - 7)*(p - 4)*(2*p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdwwbnwunnnwdnbw. Give prob of sequence nub.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 28*k**2 - 258*k + 47. What is t(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f = -52*f + 97*f - 3*r - 144, 8*r - 276 = -692 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 11:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (262 - 224) + (6 + 1 - (-2 + -2))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13899, -13922, -13939, -13944, -13931?\n\"Answer: j**3 - 3*j**2 - 21*j - 13876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v = 8. Suppose 5*p - 4*u = 4, v*p + 2*u + 2 = -0*u. Determine y so that 0 + 2\/5*y**3 + p*y - 4\/5*y**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + v + 1. Suppose -3*i - 1 = -4. Let j(q) = 19*q - 3. Let c(g) = -37*g + 3. Let k(a) = -c(a) - 2*j(a). Give i*l(n) - k(n).\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*s + 10 = -399*s + p, -3*p = -4*s - 36 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18730, -36893, -55042, -73177, -91298, -109405?\n\"Answer: 7*r**2 - 18184*r - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386423?\nAnswer: 13, 183571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d + 0 + 1 - 1 in the form z*d + c and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:55 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 + 3)*(133*u**3 + 717*u - 718*u + 4 + 547*u**3).\nAnswer: -2720*u**3 + 4*u - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111101111111111 (base 2) to base 16.\nAnswer: 27bff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 235*b + 237*b - 28, 2*b = 5*o + 4*b - 35 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 106818. Suppose -128861 = 4*c - 5*l, -9*l = -c - 11*l - 32199. Let i = a + c. Round i to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -78, -82, -88, -96, -106?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddi when three letters picked without replacement from qiwddhhz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 14. Suppose d = 3*d - f. Suppose -19 - 26 = -3*y. Calculate the highest common factor of y and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*2\/6*(198 + -228). Suppose m + 0*m = 0. Let y = 0 - -2. Solve m = y*x + 3*x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s - 2*p, -5*s - 2*p - 20 = 0. Let u(k) be the second derivative of k**4\/12 - k**3\/3 - 3*k**2\/2 + 107*k - 4. What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**7\/840 + w**5\/120 - w**4\/12 - 21*w**3\/2 - 134*w**2. Let u(b) be the first derivative of i(b). Give u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265590000 rounded to the nearest 1000000?\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 4\/5 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64088.43 days in hours?\nAnswer: 1538122.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24599450, 49198892, 73798332, 98397770?\nAnswer: 122997206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 30*c**2 - 374*c + 1310. Determine w(5).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -9*v - 9. Suppose -3*q - 2*d + 8 = 2*d, d = 5*q - 21. Suppose 0 = g - q*g - 9. What is the second smallest value in g, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -5*q + 8. Suppose -s + u = 9 - q, 4*s + u = 87. Let -15*b**4 + 37*b**3 - 9*b**2 + 24*b**2 - 10*b**3 - s*b**5 - 6*b + 0*b = 0. Calculate b.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:07 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 - 3*g + 7. Give f(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*f - 2*d, 8*d = 2*f - 7*d + 19*d - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4890 and 73\/415650?\nAnswer: 415650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:24 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 2*t + 2*g, -252 = t - 5*t + g. Suppose -t = -13*n + 184. Solve 5*u - 25 = -3*a - 2, a - 5*u = -n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12677*o = 12869*o + 2046 + 8322 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595 + 579 - 292 - 2*p.\nAnswer: -2*p - 2308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + -42*(-149 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 3 + 2 + 1 - 5 + (2 + 1 - 5)*(1 + 4 - 3))*(-3 - 2*a + 3)*(-15*a - 5*a + 24*a) to y + o*a**2 + c*a and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83553226.\nAnswer: 2, 71, 588403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 949826.8 grams?\nAnswer: 949826800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1148*y**3 - 8*y**2 + 9*y - 3. Let j(o) = -5741*o**3 + 44*o**2 - 43*o + 13. Let z(m) = -11*b(m) - 2*j(m). What is the second derivative of z(x) wrt x?\nAnswer: -6876*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452242337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/15 + 8)\/((-4)\/30)*54612\/(-1230)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 2. Let f = -10 - -7. Let c(o) = -6*o - 1. Give f*q(m) - 4*c(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 11*j**2 + 13*j - 12. Give t(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:23 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7998343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 - 31 = -5*t - h, 0*t + 5*t - 110 = -10*h for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = s, 2*s - 5*s = -5*o - 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/270)\/(2\/(-6))*-888033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533256.\nAnswer: 2, 3, 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2386210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*c - c + 66, -3*c = -4*l - 52. Let y = 7 - 3. Suppose -y*n + 7 = -33. What is the least common multiple of n and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 18047655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1480 and 8270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83567*j - 99103*j - 167654*j.\nAnswer: -183190*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*u + 202 = 0. Suppose 5*x + 5*s + 505 = 10*s, 319 = -3*x - 5*s. Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263154902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 109 = -136 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjjmjmjjj. Give prob of picking 1 j and 1 m.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5 - 718*f**4 - 86388*f**3 - 3538108*f**2 - 6485738*f + 10110954 = 0.\nAnswer: -119, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171372 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: Let c(g) be the second derivative of g**5\/10 + 7*g**4\/3 - 4*g**3\/3 - 56*g**2 - g + 97. Factor c(f).\nAnswer: 2*(f - 2)*(f + 2)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 15) to base 9.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571176 is divided by 901.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:07 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 - 17273*d**3\/2 + 19423*d**2 - 4316*d = 0. Calculate d.\nAnswer: 0, 1\/4, 2, 4316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2, -218*i + 6 = 5*x - 219*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:46 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1433368545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1200722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 8*h + 0*h)*(0 - 1 + 4 + (-4 + 1 + 1)*(4 - 3 - 3))*(-2 - h**2 + 2).\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -95*f**5 - 3985*f**4 - 3685*f**3 + 205*f**2 = 0.\nAnswer: -41, -1, 0, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**4\/24 + 5*y**3\/6 + 2*y**2. Let r be l(0). Solve -3*n - 2*n - r = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2 + sqrt(114))\/sqrt(6) + sqrt(19) + sqrt(1216)*1.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439547.\nAnswer: 127, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1033?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 709758185 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 340*w + 172222 - 219482 for w.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -7*s + 70. Let z(f) = -20*f**2 - 14*f - 188. Let g(b) = -3*b**2. Let n(v) = s*z(v) + 6*g(v). What is the first derivative of n(i) wrt i?\nAnswer: 4*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114342 - 4?\nAnswer: -114350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12445?\nAnswer: 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 17 + 81. Let g be (p\/(-14))\/((-18)\/(-63)). Suppose 4*s = -s - 5. Put g, s, 2, 3 in decreasing order.\nAnswer: 3, 2, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b - 1. Let o be p(1). Suppose 3*h - 39 = -2*m - 110, m = -o. Let w = -16 - h. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3348 and -77\/24.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76205732 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p**2 - 1700*p + 72245. Let c(z) = 5*z**2 - 850*z + 36123. Let m(o) = -5*c(o) + 2*y(o). Find s such that m(s) = 0.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 291*i**2 - 813*i - 177. Give n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of (-6)\/(-26) + (-13188993)\/(-793)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(sqrt(128) + 0) + 4 + 3*sqrt(128) + sqrt(128) + sqrt(128) + -2).\nAnswer: -96*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokktookofnokdnf. Give prob of picking 1 o, 1 k, and 1 t.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:02 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Let f = d - 2. Suppose 0 = -u + f + 1. Solve -8 = -u*j, -5*c = 4*j - 1 - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -8. What is the smallest common multiple of r and ((-639)\/315 - (-15)\/25)*-7?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1558\/7 + -222. Let y(q) = 5*q - 78. Let h be y(16). What is the nearest to -2\/7 in m, h, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734307 divided by 104901?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.4 (c) -0.3 (d) -35 (e) -629\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/42*(-49)\/(1274\/117)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 9216.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28 - (-8 + 25)) + 106. Solve 110*w - m*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -13082435?\nAnswer: -1308243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0956780294 rounded to 6 decimal places?\nAnswer: -0.095678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183582543 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - l + 4 = 0, -2*l + 20 = 2*u - 6*l. Solve 4*y + u = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838 equal to 53910\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 5*a + 3. Suppose -3*q = -7*q - 12. What is the least common multiple of c(q) and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s**7 + 0*s**3 + 0*s**5 + 0*s**4 + 0 - 1\/448*s**8 + 1\/160*s**6 - 3*s**2 + 0*s. Suppose g(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 2*p + p + (1 - 2 + 4)*(179 - 21*p - 179) - 20 + 4*p + 20.\nAnswer: -57*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 + 208. Let b be 14\/3 - (-3)\/9. Put t, -9, b, -2 in descending order.\nAnswer: b, t, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4714161.735 to the nearest 100.\nAnswer: 4714200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 158 + -77 + 11.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-10) + -3)*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 2:03 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 5*z**3 + 3*z**2)*(-2*z - 5 + 2 + 4).\nAnswer: -10*z**4 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 47 = 25. Suppose 2*b - 5*m = -19 + 56, 5*b = 4*m + 84. Calculate the least common multiple of i and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 27 = 3*a. Let v be 5 - -6 - (2 - 0). What is the highest common divisor of a and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 - (-26)\/(-117)*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/15)*(t\/(t*t**(-8)*t))\/t*t)\/((t*t*(t**(-6)\/t)\/t)\/t**9)*((t*t*t\/(t*t**(-4))*t*t)**(2\/11))**(-9\/11) assuming t is positive.\nAnswer: t**(39343\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 7*m + 7. Let d = 32 - 25. Calculate s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/7 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -1\/5, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1272, 4, -237, -3 in ascending order.\nAnswer: -1272, -237, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(55) + sqrt(55))\/sqrt(11) + sqrt(5) + sqrt(80)*3 + sqrt(5) + sqrt(5) + (sqrt(90)\/sqrt(2))**2*4.\nAnswer: 15*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/5))**(-12\/17))**(-36\/11)\/(u**12*u*u**(-2))**(-49) assuming u is positive.\nAnswer: u**(505693\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*t + 35, 4*t + u + 2*u = 35. Let s be 0 + 0 + t + (1 - 1). Suppose -s*g + 3*g = 3*j - 77, -121 = -3*g + j. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111.859 - 0.141. Let p = 108 + w. Let t be 5\/10*(0 + -2). Which is the third biggest value? (a) -3\/4 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, l: 1, d: 3, g: 4, r: 9}. What is prob of sequence drrd?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1649*t**2 + 13779*t + 33955184?\nAnswer: -3298*t + 13779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1764, -1763, -1762, -1761, -1760?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/5 + 19616*c**2\/5 + 78452*c\/5 + 78448\/5 = 0?\nAnswer: -19612, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 645 = 18. Suppose -4*g = u + u - 74, -g = u - 19. What is the remainder when h is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(42\/12 + -2 + 2). Let a be (4 + u + (-4 - -3))*-13. What is the greatest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 66?\nAnswer: -19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 85. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035772 (base 9) to base 4.\nAnswer: -2013212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -4040951?\nAnswer: -84\/4040951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.121 + -82.879. Let w = 82.8825573 - -0.1275427. Let c = x + w. Round c to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21744 + 21749. Let d(l) = l + 1. Let p be d(3). Let y = p - 1. Solve -b = 2*c + y*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 209 in 0.5, 7\/3, 5, -156?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -13 - -23) + -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79617, 159231, 238843, 318453, 398061, 477667, 557271?\nAnswer: 636873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 30*f**2 + 10*f + 2. List the prime factors of l(16).\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = n - c, 3*n + 11*c = 8*c - 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (295\/(-413))\/(12\/(-42))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6180*z - 6179. What is g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 2 + (16 - (46 - 14)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 6*m**2 - 17*m**2 + m + 5*m**2.\nAnswer: -18*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8*r + 13*r - 20 = 0, r - 16 = -4*t. Solve 3*k + 3*n = 6, 25 = -t*k - k + 2*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5*y**2 + 7*y + 4 + 20*y**2.\nAnswer: 15*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126185.5991671 - -0.1691671. Let d = t + 126192.0300027. Let f = 6.6 - d. Round f to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5589*j**2 - 11154*j**2 + 5585*j**2.\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -11) + -2 + (2 - 33 - -11) + -53\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/5 - 12*u**4\/5 - 18*u**3\/5 + 324*u**2\/5 + 729*u\/5 = 0?\nAnswer: -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9755 (b) 7418 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:10 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 49.2. Let m be ((-18)\/(-15))\/(9\/(-10)). Which is the nearest to -2\/7? (a) 4 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q + 220 - 178 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 2*l**2 + 0*l + 11\/1890*l**7 + 1\/540*l**5 + 0*l**3 + 1\/120*l**6 + 1\/756*l**8 - 1\/216*l**4 + 1. Let z(x) = 0. What is x?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162844580?\nAnswer: 2, 5, 8142229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753694, -1507391, -2261088, -3014785?\nAnswer: -3768482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w + 10. Let z(f) = 5*f + 5. What is -2*g(c) + 5*z(c)?\nAnswer: 3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-157.97513\nAnswer: 94.785078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Let d = 42 - a. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110885, 110923, 110969, 111023, 111085, 111155, 111233?\nAnswer: 111319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 775 - 856 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 64 (c) 0.2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -111*m - 3. Let u be s(-4). Suppose -20*r + 17*r + u = 0. Suppose r = 5*d + 3*x + 56, 5*x = 10. What is the remainder when 67 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.31619 - 0.31619. Suppose -4 = -0*k + k. Let f(a) = -a - 3. Let p be f(k). Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 6*j + 648. Suppose j*b - 70*b = 22. Solve -i = b*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2, p: 4, e: 2, c: 1}. Give prob of sequence yp.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 3. Let l(r) = -5*r + 16. Let d = -450 + 446. Give d*l(v) - 22*f(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*b = -32, 4*i + 34 = 8*b - 10*b for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*7\/(-70))\/(2\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7249\/2812 - 145\/74. What is the common denominator of 49\/9 and q?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 11*j = 7*j. Let p(h) be the third derivative of 6*h**2 - 1\/20*h**5 + 1\/40*h**6 - 1\/8*h**4 + 0*h + j + 1\/2*h**3. Factor p(r).\nAnswer: 3*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.612414 to three decimal places.\nAnswer: 3.612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*c - 9*c + 200 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 11. Let i = r - 3. Which is the nearest to -0.2? (a) i (b) 0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/28 + 120\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**3 + 437*r - 435*r - 4 + 2*r**2 + 4*r**3 + r**2 in the form u*r**2 + p + d*r**3 + n*r and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5 = -2*c, 0 = -8*f + 3*f - 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -417747\/50 + 8354. What is the common denominator of -53\/10 and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 21*t**2\/2 - 4*t + 859. Let h(n) = -22*n + 5. Give 3*g(x) + 2*h(x).\nAnswer: 19*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m**3 + 3943320*m**2 - 716968*m = 0.\nAnswer: -179242, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-24)*392\/(-40) + -2 and -131\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -752 - -1701. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 5244107?\nAnswer: 5244109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211962*g**2*l - 5*g**2 - 52*g + 97 wrt l.\nAnswer: 211962*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937980 is divided by 84?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 5*p**2 + 2*p + 8. Let b be y(-6). Suppose w - 6*w + 260 = 0. Let n = w - b. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-92) - 3048\/(-276)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 1. Let h be x(1). Let y be 4\/h*6\/(-4). Let z = 225 - 227. Is y equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5555*o**3 + o**2 - o + 3. Let y be d(-3). Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4566*q**2 - 2*q + 2. Let m(y) = -3*y**2. What is z(m(r))?\nAnswer: 41094*r**4 + 6*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:09 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2538 divided by 54\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchhchchhhwhwc. Give prob of picking 2 w and 2 c.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592 by 2281.\nAnswer: 592\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g. Let i(q) = -q**2 - 4*q + 4. Let v be i(-4). Determine x(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**5*c*c**(-3\/7))\/(c**(-1)*c*c**(-1\/3)))**(-3\/14))**(-39) assuming c is positive.\nAnswer: c**(2418\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*m - 29*m + 93*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.047 take away 454.451?\nAnswer: -588.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1407, 2822, 4237, 5652, 7067, 8482?\n\"Answer: 1415*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4 - 4)*((l + 2*l - l)*(-1 + 1 - 2*l**3) + 360*l**3 - 63*l**4 - 360*l**3) + 2*l**5 - 4*l**5 + l**5.\nAnswer: 66*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1188*l**4 + l*n**2 - 3*n**2 + 2849*n wrt l.\nAnswer: 4752*l**3 + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - 8 - -2) + (111 - 131)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/13))**(10\/3)\/(x**4\/(x\/x**(2\/19))) assuming x is positive.\nAnswer: x**(-2681\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7 + -1.3. Let p = -4 - -2. Let t = 0.42 - 0.02. What is the second biggest value in p, a, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -63, 128, 499, 1110, 2021, 3292, 4983?\nAnswer: 7154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (1 + 2)) + -5 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by (11 + -7)*(-44)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 3 + 3)*(2 - 2 + 2*n) - 6*n**3 - 6*n**3 + 5*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8 - 7 - 2*c + 19*c. Is h(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2069 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*o - 349*o + 2*y = -431, -2*o - 3*y + 25 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69 and 0.1614.\nAnswer: 11.1366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172317933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1343741715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*s**4*v**2 - 48*s*v**2 - 1452*v**2 wrt s.\nAnswer: 76*s**3*v**2 - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -148\/3. Let h = -11.4 - -12. Let x = 0.4 + h. Do a and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 2, 1024, 0.02, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*t**2\/4 + 2039247*t\/4 + 92693\/2.\nAnswer: (t + 185386)*(11*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3665 + 3668. Solve -4*c + 26 = m*l, c + 2*l = 6*l - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -728 - 5?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893*j + 896*j - 4 = -5*c, 4 = j + 3*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00251994765 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {f: 1, a: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**4 + 295513*i**3 - 162506864*i**2 wrt i.\nAnswer: 96*i + 1773078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 2*d**2 + 4. Determine n(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-6\/5)*(z\/(z\/z**(-7\/4)*z))\/(z*z*z\/z**(3\/2)*z*z))\/((z**(2\/9)*z*z\/z**(4\/3))\/(z**(-1\/4)\/(z*z**(2\/15)\/z))) assuming z is positive.\nAnswer: z**(-569\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1084 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 63*k**2 + k - 4*k**3 + 10*k + 64*k**2 as h*k**3 + p*k + f*k**2 + y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -554423880007 and -25.\nAnswer: -554423880032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 699*k**3 + 695*k**3 + 10*k - 6*k.\nAnswer: -4*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 17, -166.\nAnswer: -166, -5, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1318256*v**2 + 41884*v - 6.\nAnswer: 2*(94*v + 3)*(7012*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/8 + (-21)\/28. Suppose -w = -v*w - 30300000. What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, i: 5}. Give prob of picking 3 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -15 (b) -11 (c) 2\/167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4632189610 to the power of 1\/2, to the nearest integer?\nAnswer: 68060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7425*i**2 + 22*i + 3474. Let p(l) = 1856*l**2 - 5*l - 869. Let v(o) = -2*g(o) - 9*p(o). What is the second derivative of v(y) wrt y?\nAnswer: -3708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 171 + -43 + 8 + 3\/(-9)*3. Solve -104*f - 248 = -m*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -345, -514, -681, -846?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 8 = 2*c, 12*c + 52419 = -4*t + 52355 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 8*d**2 - 2*d + 7. Calculate u(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -733793*y**2. Let v(s) = s**2 + 99. Give v(g(p)).\nAnswer: 538452166849*p**4 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 314?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 334 - 17*u + 348 + 3*u**2 to p + x*u + w*u**2 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (151\/(-24))\/((-2)\/(-4)) and -25\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13001 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -66, -78, -88, -96?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(3 + sqrt(117) + 3 + sqrt(117) + -4 + sqrt(117) + 5*sqrt(117)*-2)*6)**2.\nAnswer: -9293940 + 136080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6564 + -6490. Solve -x*w = -13*w + 61 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + -738)\/(117\/18 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 72, 220, 510, 990, 1708, 2712, 4050?\n\"Answer: 8*z**3 - z**2 + z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-13)\/(-91))\/((-6)\/(-14)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - l + 11, -37*n - 1 = -36*n + 4*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 29, 2, -0.7, -5\/3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43 and -33\/3316.\nAnswer: 3316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - 1.1. Let c = o - -24.6. Let q = c - 21. What is the third smallest value in 1\/7, -1\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 443739*u + 344894 wrt u.\nAnswer: 443739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4950*o**3 + 8*o**2 + 15*o + 2. Let g be (1176\/108 - 11) + 53\/(-9). Let j be d(g). Round j to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 2*m - 22, 4*h = -25361*m + 25358*m - 17 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -42?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -27 - (2 + -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*p + 20 = 0, 6*j - 28 = 11*j - p. Calculate the remainder when j\/9*((-27)\/2 - 3) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 0*g**2 + 0*g**2 - 12*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -26, -6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 11*g**2 - 2*g**2 - 2*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.5946906 - -0.5947646. Let f = g - -30. What is f rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/(-84)*9*(-1)\/15. Let 1\/4*v**2 - o*v**5 + 0*v + 1\/4*v**3 + 0 - 1\/4*v**4 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 380.7678 + -375.72. What is h rounded to two dps?\nAnswer: 5.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57569\/14 + 4110. What is the common denominator of u and (53\/(-5))\/(54\/(-60)*4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002092571 rounded to six dps?\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**4 - 5*b**3 - 15*b**2 + 987*b + 17510328 wrt b?\nAnswer: 12*b**3 - 15*b**2 - 30*b + 987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -199, -396, -591, -784, -975?\n\"Answer: c**2 - 200*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33411353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/17)*i*i**15)**(-6) assuming i is positive.\nAnswer: i**(-1608\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:32 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -3 - -4) + -111 + (138 - 150)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4))\/(u\/u**5))**(-44) assuming u is positive.\nAnswer: u**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9*q = 4*q - 65, -5*b + 59 = q. Let f be ((-3)\/6)\/(2\/(-24)). What is the greatest common factor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(-5*-4*(sqrt(30) + sqrt(30)*1)\/sqrt(10)*-2*-1)**2.\nAnswer: -96005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 times -2.23232?\nAnswer: 0.20314112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -357 - -709\/2. Which is the closest to 2\/195? (a) 3\/7 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/2 less than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5946 - -21?\nAnswer: a5967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1001001?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*q**5 - 3624*q**4 - 20492*q**3 + 14864*q**2 - 2544*q = 0. What is q?\nAnswer: -6, 0, 1\/3, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {k: 1, w: 4, v: 4, d: 2, g: 2, h: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 17 = 13, -5*d - 36 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in 1, 2, -3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -628.72 + 630. Let m = -3.72 - k. Which is the second smallest value? (a) m (b) -11 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3911 + -3882. What is the remainder when 693 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10343*c**2 + 5476*c**2 - 23926*c**2 to the form n*c**2 + t + z*c and give n.\nAnswer: -8107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 11*p - 5 + 57\/2*p**2. What is the first derivative of k(d) wrt d?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/27612 and 55\/18?\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 15*w**4 + 909318*w**3 + 1091163*w**2 + 181860*w = 0.\nAnswer: -60620, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (4 - 5 - 4 - -11)) + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-26)\/13*(-3)\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 10*n - 7. What is the remainder when 100 is divided by b(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 5*l = 19*i + 728, 0 = 3*i - 3*l - 519. Calculate the greatest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 202691.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - k**3 + 4*k**3 + 4*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2201025 + -254?\nAnswer: 2200661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.5 (c) 5 (d) -0.524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 650bb2?\nAnswer: 650bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 23*u + 10. Let v be d(-10). Let y be ((-25)\/v)\/(2\/(-16)). Put y, 1, -4 in decreasing order.\nAnswer: y, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d442b (base 14) to base 6\nAnswer: -34252343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58503 is divided by 19500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005658382 to 7 decimal places.\nAnswer: 0.0000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -233\/1856 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 68, -4\/5, 0.1, 2.\nAnswer: -4\/5, 0.1, 2, 59, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1365*w + 282868 - 2530*w - 294094 wrt w.\nAnswer: -3895","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 21854310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, 7, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**17)\/(v\/(v*v\/v**(3\/7))*v) assuming v is positive.\nAnswer: v**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/19 + 1218*v\/19 + 64 = 0. What is v?\nAnswer: -608, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -50. Let u = 40 - n. Suppose -b + 20 = -u. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*o**3 + 325*o**3 + 110*o**3.\nAnswer: 342*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 163*c - 293. Let i(z) = 658*z - 1173. Let n(f) = 2*i(f) - 9*p(f). What is the derivative of n(u) wrt u?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 - -465. Solve -30*b - j = -25*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24135 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b - 1. Let k(p) = -125*p + 1328. Let m(a) = -6*g(a) + k(a). Differentiate m(f) with respect to f.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (8 + -2)) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/3 + h**2 + 8*h. Let m(c) = -1. Let j(a) = a - 4. Let q be j(5). Determine q*x(w) + 4*m(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)*-2)**2*-3 + -4*(-1 + (sqrt(10)\/sqrt(2))**2).\nAnswer: -88 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*p - 80*p + 189*p + 3 - 73*p to the form l + h*p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8107 + -5554. Let d = 1553 - c. What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 40 = -5*j. Let a = j + 13. Suppose -106 - 204 = -a*s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40884023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 6 + 1\/2*g**2 - 2*g. Suppose 0 = -l - 1 + 3. Calculate j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (148 - 173) + (6 - (-2 - 0)) + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/4 - 47*s**2\/4 - 323*s\/2 - 600 = 0.\nAnswer: -25, -16, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 16*b**2 - 22*b - 1. Let q be j(6). Suppose -q*w + 7020 = 4*w. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -6, -23, -60, -123, -218, -351?\n\"Answer: -n**3 - n**2 + 7*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2195\/77 - 312\/11. Which is the nearest to 0? (a) -2\/11 (b) -0.9 (c) g (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4892 + 5930. What is the remainder when n is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(108)\/sqrt(150) + sqrt(18)))\/(5*sqrt(36)\/(sqrt(12)\/sqrt(3))) + 5.\nAnswer: -6*sqrt(2)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6552551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/8 (b) -1858\/3 (c) -2\/11 (d) 4\/5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0901845+7.3119\nAnswer: 7.4020845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1890167\/5 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-26))*(s*s**3)\/s*s)\/(s**(-7)\/((s\/s**(-2))\/s)) assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137743925.\nAnswer: 3, 5, 7, 29, 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21101 or -21584?\nAnswer: -21101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 12:38 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in 30, 0.4, -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-2*f**4 + f**4 + 3*f**4)*(-1 + 5 - 3).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61779, -61772, -61765, -61758?\n\"Answer: 7*g - 61786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035726 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2263 - -4280. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + (31 - (-54 + 155)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/((-5)\/(90\/(-6))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*l - 4*l = -23, -l = -5. Solve 43 = 8*j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118578 is divided by 245.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:39 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100112210 (base 3) to base 15.\nAnswer: -20e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0*z**2 + 0*z**2)*(1 - 4 + 5) + 2*z**3 - 3*z**3 + 3*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 7*v**2\/2 - 6*v.\nAnswer: -v*(v + 3)*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-7\/4)\/b)\/(b**(-20)\/b))\/((b*b\/b**(-2\/23))\/(b**17\/b)))**(1\/36) assuming b is positive.\nAnswer: b**(2959\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/183085 and 17\/50.\nAnswer: 1830850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -5*d. Suppose y + 2 = d*y. Let v(r) = 34*r**3 - r**2 + r - 1. Let a be v(y). Calculate the highest common factor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (3 + 4)) + -6 + -7 + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let p be u(-4). Let h be (p - 2)*2\/(-6). Suppose -5*y - 4 = -3*g, -h*y = g - 7*y + 2. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6610605 divided by -15?\nAnswer: -440707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88755, -88766, -88779, -88794, -88811, -88830, -88851?\nAnswer: -88874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1781, -7284, -16455, -29294, -45801?\nAnswer: -65976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 258\/(-172)*36968\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = b, -b + 12 = 2*p. Let y(d) = 5*d**2 - 7*d + 2. Let i(c) = 3*c**2 - 4*c + 1. Let q(a) = b*y(a) - 7*i(a). Calculate q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 77, 2 in descending order.\nAnswer: 77, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0038 + -0.1038. Let q = -0.7 - 7.3. Put z, q, -5, 3 in ascending order.\nAnswer: q, -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -31\/2. Let v = -17.6 - -19. Let d = -3.4 + v. Which is the second biggest value? (a) 5 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110101011111 (base 2) to base 8.\nAnswer: -66537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 24 = -4*t, 5 = -4*t + 5*t. Suppose -21 = -3*b + 5*j, -j - 4*j = h*b + 7. Solve -6*z + z + 4*w = 4, -2 = -3*z - b*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 2, 5, -10, 3 in ascending order.\nAnswer: -10, 2, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4504 is divided by 2539.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1321 - 2228 = -21*n. Suppose 6*j - n = -109. Calculate the remainder when 24 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/13))**(-11)\/(b\/(((b*b**(-2\/37)*b)\/b)\/b)*b\/(b\/b**0)) assuming b is positive.\nAnswer: b**(-6612\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 2241?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 5*o + 2. Let u(v) = -2*v**2 + 6*v - 3. What is -6*p(b) - 5*u(b)?\nAnswer: -2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 23) + (-2 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.61 + -8.61. Which is the closest to 0.3? (a) -4 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*n - 89*n = -100. Let w(o) = -o**3 + 8*o**2 + o - 5. Let k be w(8). Suppose k*j - 5*r - 57 = -j, -n = 4*r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 899, 902, 907, 914?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -1 - (-87 + 87)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 + 14*c**2. Let h(p) = -p**3 + 3*p**2. Let o(y) = y**2 - 10*y + 10. Let d be o(8). Calculate d*j(a) + 28*h(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 + -97. Suppose -2*g + x - 12 = 0. What is the highest common divisor of 22 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 857, 924, 993?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540358 to the power of 1\/2, to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107598 is divided by 53777.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 38*s\/5 - 37\/5.\nAnswer: -(s + 1)*(s + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15484 + 15488. Solve -23 = u*h - 39 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = -76. Let i be 2\/(-11) - (966\/(-77))\/3. What is the greatest common divisor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 31. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 115 = 5*t, -19 = t - 2*a + a. Calculate the common denominator of 15\/2 and (-2)\/(-12) - t\/45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:41 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - j**3 + j**3)*(5*j - 2*j - j) - 2*j**4 - 2*j**4 + 7*j**4 + 3*j**4 + j - 3*j + j.\nAnswer: 2*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*z - 1465 = -78 + 1337 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/2 (b) -5 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zsfsuuunzuuzuzsufun.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3504684 and 6133197.\nAnswer: 24532788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 + 232*g**2\/11 + 678*g\/11.\nAnswer: 2*g*(g + 3)*(g + 113)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.157 + -113.843. Let d = r + 111.54. Round d to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4569*h - 4*h**2 + 4569*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8.32539424 + -2\nAnswer: 6.32539424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*b + 528430 = -650408. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 5 + 5 + t - 4.\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-1)\/(-10)). Suppose t*k + 7 = -13. Is (-374)\/(-8) - 1\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1838, -1842, -1852, -1868?\n\"Answer: -3*h**2 + 5*h - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose 0 = 3*n + 2*n - 40. Let v be n\/(-35) + 2\/(-10). Which is the third smallest value? (a) r (b) v (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h**2 - 1045*h - 697. Give r(-69).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -293*d. Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**5)\/(j\/j**(-2\/13)))\/(j\/j**(-6)*j**(-4)) assuming j is positive.\nAnswer: j**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 25009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -2.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.95189 times -0.4\nAnswer: 0.780756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14294239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k + 5. Let m be (-2)\/(-3)*8 - (-15)\/(-45). What is j(m)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.918 + -0.082. Let t = 48.0106 + r. What is t rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggttuuttuutg. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momimommmoqmioiomi. What is prob of sequence oo?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 - 1?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/60*246\/164)\/(-1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5)\/g**(-4))**(-5))**(12\/13) assuming g is positive.\nAnswer: g**(-252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 483140473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 64. Let f = -124 + 140. Let q(d) = d**2 + d - 2. What is the remainder when k(f) is divided by q(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1187 - 127 = -6*a. Suppose 2 - a = 7*z. Let q = z - -35. Solve 2*u + 2*u + 20 = -4*c, 3*u + 19 = -q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8138*b + 23517*b + 1 - 1 - 6999*b.\nAnswer: 8380*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/30 - l**4\/6 + l**2\/2 + 2*l. Let m(w) be the first derivative of p(w). What is c in m(c) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44281273 is divided by 2767578?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*m**2*v - 2*k**2*v + 58*k**2 + 4*k*m - 88*m**2*v wrt m.\nAnswer: 2*k**2*v - 176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68794?\nAnswer: 2, 11, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -494 + 463. Which is bigger: d or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11859372 and 6318.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 178948608 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608627 is divided by 4682?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8878 + -62148\/7. What is the nearest to -1\/2 in -1, 4, b, -466?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:55 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 81 = 2*n. Suppose n*g = 23*g + 6160000. Round g to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 10*d + 1340. Let c be s(32). Let a(o) = o**2. Calculate a(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 555 + 516 = 25*r, -4*y - r - 52 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*(-4 + 1). Let j = 9 + r. Calculate the smallest common multiple of j and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*p - 32 + 576 + 1049 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108 or 22224?\nAnswer: 22224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 + -19) - (7 - (10 - 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-945)\/49)\/15*7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*f - 2*d, -4*f - d - 2*d + 68 = 0. Let r = -11 + f. Let t(w) = -r*w**2 + w**2 - w**2 + 4*w**2. Let m(l) = 12*l. Determine m(t(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 206029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*y = 4*q - 78, 4*q = -4*y + 88. Suppose 4*s = 3*r + q, -3*s = -3*r + 2*r - 14. Is -5 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 2*s**3 - 4*s**3)*((0 - 2 + 4)*(3*s + 33 - 33) + 3*s - s - 3*s) - 7*s + 7*s - s**4 + (s**4 - s**2 + s**2)*(-2 - 2 + 2).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 175 = 19*m. Which is smaller: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321 - -2?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 0)\/(-1 + 0). Suppose p*b = -b + 3055. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 6*t**2 - t - 4. Let p be b(-6). Let c(v) = -5*v**p - v**2 + 3*v**2 + 5*v**2. Let k(m) = -15*m. Calculate c(k(y)).\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 2. Suppose 47*n = 27*n + 340. Calculate the remainder when n is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/23)\/n**(16\/7)*n**24\/n**13)**(-2\/45) assuming n is positive.\nAnswer: n**(-2848\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - w**3 - 2*w**2 - 3*w**3 - 5 - 2*w**3 - 8*w. What are the prime factors of m(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c**2 + 162329282*c + 140876083 wrt c?\nAnswer: -8*c + 162329282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lzzlzlzlzzmzlyllzll?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 0, -3, -48\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5043*o**3*p**3 + 4*o**3*p**2 + 3*o**3 + 7*o**2*p**3 + 506*p wrt p.\nAnswer: -30258*o**3 + 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c. Let i(r) = c*r**3 + 3*r**3 - 1 + r**2 - 4*r**3 + 3*r. What is the units digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(96) - (-3*sqrt(96)*-4 - sqrt(96)))\/sqrt(4))\/(sqrt(384)\/sqrt(3) - (sqrt(8) - (sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2)*-6) + sqrt(8))))*-4.\nAnswer: -40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*f, -3*o + 4*f = -0*f - 25. Suppose -2*a + 11 = -o. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/(258825\/3360)*(-17)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1379180 divided by -275836.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 - 8 - w + 2*w - 1 wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = -0*q, 4*k - 28 = 4*q. Suppose 5*r - k*z - 199 = -75, 4*r - 102 = z. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-12) + -6 - (-11 + 13))\/4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183661717 to the nearest integer?\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 752087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -831 or 10\/9?\nAnswer: -831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 4\/39 (b) 2 (c) -2\/5 (d) -66 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4461*c - 14874*c - 507*c - 2106*c)*(-c - 2 + 2).\nAnswer: 21948*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*f - 1 - 1, -5*f - 2*r = -2. Let z = 1.7 - 8.7. Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 916, -6370, -13656, -20942?\nAnswer: -28228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010001011111 (base 2) in base 4?\nAnswer: -20101133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let y(d) = 3*d - 17. What is the lowest common multiple of y(9) and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5 = 5*w, 2471*a - 2 = -9*w + 2477*a + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 318\/73, 2, 2\/7 in increasing order.\nAnswer: -0.1, 2\/7, 2, 318\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/2)\/(12\/18). What is the units digit of (-12)\/(-5) - b\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/2 - 42*i**2 + 13782*i - 27392 = 0. What is i?\nAnswer: -214, 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126.328 + 128. Let z = f + -1.7. Round z to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/39 + -145\/156. What is the nearest to -0.08 in 5, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113015, 226788, 340553, 454310, 568059, 681800, 795533?\nAnswer: 909258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + 35. Let t be (-80)\/h - 4\/(-84)*6. Suppose 0 = 2*l + 2*l + 2*y, -5 = -l + 2*y. Is t at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 1. Let s = 30 - 16. Let y = 8 - s. Let x(v) = 7*v**2 - v - 6. Give y*w(i) + x(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n**2 - 203*n - 35. Determine z(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45483187 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 934849 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 9*p**2 + 29*p + 162. Calculate t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3027 - 4?\nAnswer: -302b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12463141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 4, 12, 24?\n\"Answer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -31. Let y = -1 + 3. Solve -l + y = -d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 877, 788, 637, 424, 149, -188, -587?\n\"Answer: -31*i**2 + 4*i + 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 108. Which is bigger: x or -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) -2 (b) 1\/14 (c) -6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 5*v**2 + 0*v**2 - 4*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(75) - sqrt(3)) + -3 + sqrt(208) + 1*((sqrt(1573) - (sqrt(1573) + sqrt(1573)*-2 + -5 + sqrt(1573) + sqrt(1573)))**2 + sqrt(1573)) + -2.\nAnswer: 20 + 61*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 1, b: 3, k: 2}. Give prob of sequence bksb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 - 9*z - 6. Let s be a(10). Suppose s*i - 393 = -c, -4*c + 1133 = -i - 422. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*z - 396 = -2*n + 70, -21*n + 1989 = -2*z for n.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.67 - -1.24. Let g = -0.57 + i. What is the nearest to -1 in -5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -618 + -83?\nAnswer: -6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36653349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**7*r)))\/r)\/(r*r\/(r*r**(-2\/31)))*r*r*((r**13\/r)\/r)\/r*r*r*r**(4\/11) assuming r is positive.\nAnswer: r**(7263\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17582206 is divided by 408887.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + -150?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40053, 80169, 120305, 160467, 200661, 240893?\n\"Answer: t**3 + 4*t**2 + 40097*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 10. Let c be d(-9). Does 14 divide (-2410)\/(-40) - c\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.74 from 78.\nAnswer: 79.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v**2 - 759*v - 5128. Let w(o) = -29*o**2 + 761*o + 5124. Let f(x) = 6*a(x) + 5*w(x). What is the first derivative of f(g) wrt g?\nAnswer: -2*g - 749","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-28)\/(-30) - 217\/(-3255))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-36 + 19 + 22 - -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 11980961.\nAnswer: 59904805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 61.99999815. What is h rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -125*h**2 - 210*h + 215. Determine k(0).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + w + 0*w - 6*w to z + r*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276740 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*n = t - 72, -4*t = -5*n - 99. What is the remainder when t is divided by 5 - (-5)\/(-4 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2611, -5197, -7751, -10273, -12763, -15221?\n\"Answer: 16*l**2 - 2634*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*k**3 - 2*k**4 + k + 1 + k**2 - 3*k**4 + 87*k**3 in the form x*k + v + p*k**2 + r*k**3 + q*k**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 41158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5538921km to meters.\nAnswer: 553.8921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 divided by 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104317, 104318, 104319?\nAnswer: 104320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4*m. Let r(u) = 3*u**2 + 9*u. Suppose 16*t - 27 + 91 = 0. What is t*r(x) + 9*z(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/20 + s**3 + s**2 - 30*s. Let x be q(0). What is i in 0*i - 2\/11*i**3 + 0 + 4\/11*i**x = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7576.571 millilitres?\nAnswer: 7.576571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffwfwfffwwwf. Give prob of sequence wfw.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkpquukku. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*p - 6*d**3 + 52*d**2*p - 15*d**2 + 2*d*p + 38*d - 370*p - 1 wrt d?\nAnswer: -6*d*p - 36*d + 104*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2) + (63\/(-27) + 1)*3. Which is the nearest to -2\/7? (a) -1\/439 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0 + 24. Let z be 2*-1*42\/(-28). Suppose z*i - 4 = 8. Sort f, i, -2 in decreasing order.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 + 17132646*v - 73381889740329 = 0. Calculate v.\nAnswer: 8566323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17584 and 7263448?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5645 = -696*q + 634*q + 1677 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(440)\/(sqrt(50)\/sqrt(5)*-5))\/(3*sqrt(484)*4).\nAnswer: -sqrt(11)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 17666*s\/3 + 229996\/3.\nAnswer: -2*(s - 13)*(s + 8846)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789801 - 0.03496?\nAnswer: -1789801.03496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1, -0.4851, -4.1 in descending order.\nAnswer: 1, -2\/9, -0.4851, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-488)*4)\/((-8)\/(-16)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22211 (base 3) to base 13.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212122112 (base 3) in base 9?\nAnswer: -55575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + p = -35, -o - 3*o - 28 = -5*p. Let d = 1057 + -1048. Let y = d + o. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23148*q**5 + 3195*q + 3 wrt q.\nAnswer: 462960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 6*f + 4. Calculate w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-4 + 3*sqrt(76) + 0)*-2)**2 + 5) + -5.\nAnswer: -14030 + 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 192972?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 (base 14) in base 3?\nAnswer: 12200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(9\/6 + -2). Let r(g) = g - 2. Let u be r(p). Let l be 11\/(-9) - 2\/u. Which is the nearest to -2\/3? (a) 3 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1310216*t**5 - 3*t - 320333.\nAnswer: -26204320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:50 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2.5. What is the biggest value in -0.1, -4, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:00 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27150693, -27150709, -27150725, -27150741?\n\"Answer: -16*p - 27150677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1255 (base 10) to base 5.\nAnswer: -20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -2\/5*u**2 + 0 - u - 1\/50*u**5 + 0*u**4 + 1\/5*u**3. Determine x so that m(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 518514 and 950609.\nAnswer: 5703654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 26*u - 2. Let a(t) = 52*t - 5. Let r(y) = 2*a(y) - 5*i(y). Let s(q) be the second derivative of -q**4\/6 + 525*q. What is r(s(l))?\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 6. Give a(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8, 0*y = 3*y - 5*c + 1. Let o = -51 + 257\/5. What is m in -o*m**y + 0 - 6\/5*m**2 - 4\/5*m = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(4\/(-2))*-3. Let i = m + 36. Let c = 23 + -12. What is the greatest common divisor of i and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d3 + -1?\nAnswer: -2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 23. Let z(s) = -208*s - 4783. Let g be z(-23). Which is the third smallest value? (a) g (b) 3 (c) 1\/5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8*d = 48. Let k be 160\/(-5)*(-15)\/2. Suppose 3*c - 5*l - 187 = 0, -4*c + 9*l = 7*l - k. What is the remainder when c is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*o, a = 6*a + 4*o - 198. Let c be 7\/(a\/8)*6. Let t(i) = 7*i**2 - 5*i + 2. Let m be t(2). Calculate the greatest common factor of c and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 36 - 27. Which is the second smallest value? (a) 92 (b) y (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = l + 13, 5*l + 3*y + 29 = -0*l. Let f = -16009925\/44 + 363881. Let m = 77\/4 - f. What is the third biggest value in m, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*1*2*sqrt(126))\/(sqrt(49)\/(-4*sqrt(7)) + (sqrt(7) - (sqrt(7) + (sqrt(140)\/sqrt(4))\/sqrt(5)))).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 106*v = 111*v - 30, z - 30 = -5*v. What is the third biggest value in z, -4, -1, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1115, -330, 997, 2884, 5349, 8410, 12085?\n\"Answer: 3*r**3 + 253*r**2 + 5*r - 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 349, -1329, 2.\nAnswer: -1329, 2, 27, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**5\/20 - 7*c**4\/6 + c**3\/2 + 10*c**2 + 55*c. Is 33 a factor of d(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i = 67*i - 2420. Let x = i + -390. What is the highest common divisor of 1222 and x?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + (-68)\/(-6). Suppose 32*c = 35*c - 3. Let w be c\/(-4) + 3573\/36. Calculate the greatest common factor of w and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xvxvxxxxxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188 - -194. Let q(i) = 5*i**2 - 91*i**2 + 2*i**2 - 7*i - 85*i**2 + n*i. Let d(j) = -2*j. Give d(q(m)).\nAnswer: 338*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10*t = -1960. Let q = 112 + t. Calculate the highest common factor of q and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21731 or 21739?\nAnswer: 21739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/35)\/((-6)\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1200 and -35\/6?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = -2. Let w = -522 - -525. Which is the second biggest value? (a) -0.4 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-15))\/(942\/(-785)). Let i(x) be the third derivative of 0*x**3 + p*x**4 + 1\/180*x**5 + 0 + 0*x + 12*x**2. Let i(k) = 0. Calculate k.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((123\/7175)\/(3\/(-30)))\/(1\/(-21)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 372?\nAnswer: 49476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3316*v + 3308*v + 3299*v + 2 - 13223*v + 3305*v - 2.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1041 + 15616\/15. Let r(x) be the third derivative of 0 + 0*x**3 + 0*x**4 + q*x**5 + 0*x - 4*x**2. Factor r(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 0.3, 3, 0.20726, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q**2 - 1\/6*q**3 + 0*q + 63. Factor r(l).\nAnswer: -l**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -126 + 324. Let v = -3.4 + 3. Is v <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 - ((-106)\/22 + (-258)\/1419)\/((-20)\/(-24))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0170757627 to five dps.\nAnswer: -0.01708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 3:34 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/12)\/5*(234\/(-13))\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 781 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*j = 57, 4032*m = 4035*m - 106*j - 1905 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/4416 and -163\/11592.\nAnswer: 92736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -156.\nAnswer: 43\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235971 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4850576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.2 (c) -1\/15 (d) -1\/3 (e) -18\/7 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 48 and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1590248 and -31\/18071?\nAnswer: 1590248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 799234 (base 10) to base 15\nAnswer: 10bc24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101.9 + 102. Which is the second smallest value? (a) 0.5 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*l - 109*l - 171*l)*(-5*l**2 - 4*l + 4*l).\nAnswer: 1020*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 3}. What is prob of sequence oo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2821.339ml to litres.\nAnswer: 2.821339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 - 3*f**2 - 2*f**2)*(-f**3 + 2*f**3 + 0*f**3) - f**5 - 42*f**4 + 2*f**2 - 5 + 1939746705*f**3 - 1939746705*f**3.\nAnswer: f**5 - 42*f**4 + 2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6*5.57.\nAnswer: -31.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/3 - 26*m**3\/3 - 24*m**2 - 40*m + 2. Determine s, given that x(s) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (1 + -2*sqrt(3))**2 - -2*sqrt(12)) + -2.\nAnswer: -15 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7\/(-14) + (-7)\/(42\/(-6963))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13367633?\nAnswer: 131, 102043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuxp when four letters picked without replacement from ciuxkxpcxxxicxc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061946514 to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b - 0. Let w(r) = b*r - 2*r - r. Suppose -3*y + 0 = 15. Give w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:44 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3. Suppose 2*q - h - 11 = -1, h = 4*q - 16. Let b(a) = -a**3 - 5*a**3 + a**q. What is 5*b(i) - 8*x(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 216 - 81)*(2 + 2 - 2)*(r**2 + r - r).\nAnswer: 286*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -1681*c**6\/120 + 415*c**3\/2 + 1590*c**2. What is the derivative of p(b) wrt b?\nAnswer: -5043*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/5, 0.4, -1\/11, 5, -8 in ascending order.\nAnswer: -8, -1\/11, 0.4, 5, 34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 13\/3, 25, 2\/3 in ascending order.\nAnswer: -4, 2\/3, 13\/3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*x**3 + 19*x**3 - 24*x**3.\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00290157 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-179)\/179)\/(2\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1680*t**2 - 10*t. Let j(w) = -w**2. Give y(j(r)).\nAnswer: 1680*r**4 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438 by -219.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.049341 years to months.\nAnswer: 12.592092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -79. Calculate the highest common factor of 60 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/7 - 12*c**3 + 786*c**2\/7 - 396*c + 3267\/7.\nAnswer: 3*(c - 11)**2*(c - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 377.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-4)\/8*2\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.3, 5, 3, 380, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than or equal to -182584\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 4*d**2 + 3*d - 1. What is the remainder when 6 is divided by c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noj when three letters picked without replacement from ngnjnnnngnjnoonogn.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 629?\nAnswer: 28305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 11 - 8 = -3*q, -c = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1662\/1325 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3*v = p + 12, 15 = -4*v - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3279556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 5*z + 6. Let a be b(5). Let w(p) = -p**2 - a*p**2 + 8*p**2 - p**3 - 10 + 3*p + 8*p**2. Is w(9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((-210)\/(-234)) + 6\/14. Suppose 2*q - 86 + n = 0. Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15481.19 kilometers?\nAnswer: 15481190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuubbuuuu. Give prob of sequence bb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1057 - -1057.2. Put u, 5, -1\/104 in ascending order.\nAnswer: -1\/104, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65812733.000165 + -65812913. Let c = j + 180. Round c to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7980453216 to the nearest integer?\nAnswer: 89333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 5*m**4\/4 + 2*m**3\/3 + 2*m**2 - 7*m - 1. Let f(x) = -2*x**3 - x**2 - 2*x + 3. Give -3*d(z) - 7*f(z).\nAnswer: -z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 + -481\/2. Which is smaller: -25 or x?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b37 (base 13) in base 12?\nAnswer: -a004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 4*p**2 + 13*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(147) + 2 - 3*sqrt(147)*3)**2.\nAnswer: -448*sqrt(3) + 9424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, z: 2, v: 3}. What is prob of sequence vvz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10 and 83\/328?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5761966, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-9))**(-45) assuming q is positive.\nAnswer: q**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/64 and -37\/19408.\nAnswer: 77632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 12)\/(((-6)\/(-4))\/(21 + 5925\/(-280))).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 19. Let s be 8\/5 - (-6)\/15. Suppose q + s*x = 0, 3*q + q = 3*x + 11. Solve -w + q = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17911\/6 (b) 5\/6 (c) -2\/11 (d) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, 2\/13, -0.04, -0.822, 0?\nAnswer: -0.822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**(-1\/4)*o)**(2\/27))**(-1\/27))**(12\/13))**(-16\/9) assuming o is positive.\nAnswer: o**(352\/28431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1672, -1593, -1514?\n\"Answer: 79*s - 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 34*n - 32. Let q(t) = -48*t + 32. Give -4*f(j) - 3*q(j).\nAnswer: 8*j + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.813 + 19.9. Let h = -0.1 + u. Let r = -0.0129934 - h. What is r rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 17 = 3*u, -5*u - 5 = 5*l. Let c(j) = 7*j**l - j + j**3 + j + 5*j. Determine c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 6 (c) -2498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 808*k**2 + 406*k**2 + 37*k + 403*k**2)*(3 - 4 + 2) in the form i + n*k + c*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36454831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b*h**4 - 4*b*h**3 - 771659*b - 27328*h**4 - 2*h**2 wrt h.\nAnswer: -192*b*h - 24*b - 655872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272462 is divided by 30273.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d6d5 (base 14) in base 10?\nAnswer: 75451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/570 and -65\/6.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o. Let k(c) = 2*c - 2. Let a be k(3). Let f be 38\/10 - a\/(-20). Solve f = -j - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-9))\/(17 - (-1799)\/(-105)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36910 and 0.96.\nAnswer: -36909.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:51 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 189*q**2 - 86*q - 1012. Is i(-12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 2. Let d(j) = 12*j + 6. Let p(m) = -m**3 - 16*m**2 - 24*m - 390. Let l be p(-16). Give l*d(o) + 17*s(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -1. Let u = 178297 + -178297.3. What is the biggest value in -3, 1\/2, u, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 37076?\nAnswer: -37076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f + 38 = -12*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-15)*(-18)\/4. Let q(u) = -u**3 + 5*u**2 + 7*u - 2. Let o be q(y). Solve -w = 3*f + 6, 4*w + o = -5*f + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*1*sqrt(132) + (sqrt(132) + 5*sqrt(132)*2 - sqrt(132)))\/((-1*sqrt(12)*-6 - sqrt(12)) + sqrt(192)*1))**2.\nAnswer: 2816\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44644.6824 to the nearest integer.\nAnswer: 44645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 9 - 5)*(u**2 - u**2 - u**2) to the form c + r*u**2 + b*u and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 5*r**2 - r - 5. Let l be b(-5). Let x be 5 + (l - 2) - -1. Solve -2*j - x = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -394, -79, 440, 1163, 2090, 3221, 4556?\n\"Answer: 102*v**2 + 9*v - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62733 and 116740410?\nAnswer: 1284144510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/943 - 1015\/(-14924)\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -22. Let w be 2\/(-12) - 40\/(-80). Which is the nearest to 2\/7? (a) -4\/5 (b) -0.04 (c) v (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bd022 (base 15) to base 4\nAnswer: 11030010131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*z - 2*q - 20, 4*z + 2*q = 20. Suppose 0 = s - z*s + 50. Calculate the remainder when 28 is divided by s + 0*(-3)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3576*p**2 - 28*p + 2. Let f(x) = 1787*x**2 - 12*x + 1. Give 3*c(h) - 7*f(h).\nAnswer: -1781*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0*i - i + 1 + 1. Let u be d(8). Is u < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(13\/(-312)*-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*j**2*v - 9*j**2 + 2285*j*v wrt j?\nAnswer: -166*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 4. Let z be (-1)\/v - 34\/(-5). Suppose 3*p = z + 5. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, v: 13}. What is prob of picking 1 v and 3 n?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 324711 divided by -2979\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-14*l + 6 - 6) + 3 - 1 + l - 3.\nAnswer: 15*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 - 25*y - 1. Let f be b(-11). Let k = 52 - f. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 20*a**2 - 26*a - 101. What is the smallest common multiple of s(-21) and 1050?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:05 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 891, -4, -1, -8, 2\/9 in decreasing order.\nAnswer: 891, 3, 2\/9, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16341508*o**5 - 2*o**2 - 18*o + 40555?\nAnswer: -326830160*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y + 0*y**3 + 11*y**2 + 0*y**3 + 3 - 11*y. Let z be b(8). What is the greatest common divisor of 46 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112093573 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6487 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000324\/84 - 2\/84*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 2*a - 20 = -28*b, 2*a = 2*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 25. Let j = -1773 + 1896. What is the remainder when j is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4*(-1)\/(35\/2240*-8)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -1 in decreasing order.\nAnswer: 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 17*x**2 + 3*x - 43. Is t(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyybybybkykkbkkba. Give prob of picking 1 a and 2 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 40*i - 498. Let x be l(-50). Let w(y) = y**3 - 5*y**2 - y - 8. Let s be w(6). Solve 5*a - x = -s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/26)\/(l*l**(-29)\/l))\/(l**(3\/5))**(3\/23))**(-2\/11) assuming l is positive.\nAnswer: l**(-7851\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188869685?\nAnswer: 5, 1021, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*h**3 - h - 437*h**3 + h.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 93649308874153?\nAnswer: -93649308874152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 2:51 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2029*w + 208 = -2042*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1+-26.2474761874301\nAnswer: -25.2474761874301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q - 21. Calculate the remainder when f(15) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1333511933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 1102818 = 5*a + 1102739, -5*z + 4*a = -115 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-j**2 + j**2 - 2*j**3)*(7 - 7 - 9935*j - 49708*j - 14413*j) in the form t*j + n*j**4 + r + k*j**3 + b*j**2 and give n.\nAnswer: -148112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 1285891643.067.\nAnswer: 1285891642.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3*u - 3*u)*(-9*u - 9*u + 7*u)*(-1 - 2 + 1).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 205241211?\nAnswer: 205241225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4303 + -3504?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 1651*p**2 + 167761*p + 385866.\nAnswer: (p - 221)*(p - 194)*(4*p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5686389 divided by -3?\nAnswer: 1895463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/9 - (-68913)\/1767?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8))\/((-9)\/(-53964)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3\/47 (c) -3\/11 (d) -1\/7 (e) 155 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 423541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2973 divided by -15.\nAnswer: 991\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, a: 1}. What is prob of sequence ga?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*14406.\nAnswer: -1368570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/2 + 15*f**4\/2 - 33*f**3\/2 + 17*f**2\/2 = 0. What is f?\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) 3660 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 7, 0.2, -7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 147408890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 320*n**2 - 4995*n.\nAnswer: -5*n*(n + 27)*(n + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*n - 827 = 86*n + 319. Calculate the lowest common multiple of n and 1064.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 22*y**2 - 25*y - 23. Let r = -64 + 43. Let m be t(r). Suppose 14 + m = 5*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.4 less than -0.1?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28544 and 22106436?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377464 divided by -94366.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -12 - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 2763 = -518*z - 13983 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.966 + 1.08. Let x = g + -0.079. Which is greater: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.31 minus -0.4421?\nAnswer: -83.8679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -4, 6 in decreasing order.\nAnswer: 6, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -423.9147 + -0.0853. Let w = h + 424.00000243. What is w rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 9*d - 5. Let m be f(6). Let b be 4\/2*(-1)\/m. What is the second smallest value in 2\/3, b, -4, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 3*k + 3. Suppose -3 = -t + 2*t. Let w(a) = -8*a**2 + 7*a - 7. What is t*w(r) - 7*x(r)?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48536916 to the power of 1\/2, to the nearest integer?\nAnswer: 6967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((14\/(-4))\/(-1))\/((-2)\/4). Let o be (g\/4)\/((-17)\/(-136)). Let x = 47 + o. What is the smallest common multiple of x and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116647 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/9*20\/56*-4. Which is bigger: k or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k + 2. Let j = 3 - 5. What is the units digit of c(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 9. Suppose s - 2 = l + 15, -d*l - 15 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 - 14*b**3 + 1 - 1 - 7*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 - 242. Solve 9 = -m*s + 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1638\/(-455)*(-760)\/(-171).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.466711ug to nanograms.\nAnswer: 9466.711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + 2) - (sqrt(272) - (sqrt(272)*1)**2).\nAnswer: -2*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33057 (base 9) in base 16?\nAnswer: 55a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k - k)*(-301 - 2546 + 721 - 1678).\nAnswer: 19020*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -90, -110, -130, -150?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -33*g + 104 + 106 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + 4*u)*(-2*u**2 + 5*u**2 - 4*u**2) - 702 + 1547*u**3 + 702.\nAnswer: 1543*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/8 - 61*l**4\/8 + 449*l**3\/4 + 511*l**2\/4 - 899*l\/8 - 961\/8 = 0 for l.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9179458, 18358915, 27538370, 36717823, 45897274, 55076723, 64256170?\n\"Answer: -a**2 + 9179460*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/20 - 16*s**2 - 171*s - 3. Let b(j) = 11*j**2 - 4. Let y(g) = g**2 - 1. Let w(h) = b(h) - 4*y(h). Give n(w(x)).\nAnswer: 147*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-2)\/70*(-105)\/1020?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*a - m + 3, -2*a + 2*m + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/16 and -55\/393337908?\nAnswer: 1573351632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4315\nAnswer: 1\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54230, -100853, -147464, -194057, -240626, -287165, -333668?\nAnswer: -380129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 1, h: 2, p: 1, w: 1, k: 2}. What is prob of sequence vuk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -3 + -1*sqrt(147).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 3)*(5 - 2 + 4)*(7*l + 0*l + 0*l).\nAnswer: -392*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49345722 and 8224287.\nAnswer: 49345722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*111729\nAnswer: -33518.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 75*f + 532. Let q be w(-67). Put 0.57, q, -0.6 in decreasing order.\nAnswer: 0.57, -0.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.745835 millennia to months.\nAnswer: 20950.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -328 * 0.4\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 279?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 0*s + (4*s - s + 3*s)*(-13 + 87 - 43))*(s - s + s + s + 2*s - s + 0*s + s + s + (1 - s - 1)*(-2 - 2 + 5) - 6*s + 2*s + 5*s).\nAnswer: 935*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (4 + sqrt(7))*-1)**2) + sqrt(567)*5.\nAnswer: -44 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*s + 514355114 - 1506305114. What is s rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:15 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/16 - 13\/80. Which is the smallest value? (a) -1.4 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 194754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n + 23\/2*n**2 + 1\/5*n**5 + 0*n**4 + 1\/6*n**3 + 1. Find the first derivative of o(y) wrt y.\nAnswer: 12*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4066586908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577697087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54310 = 66*z - 683488. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410244244 (base 5) to base 11\nAnswer: 2041052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.604 and 7143.982?\nAnswer: 7144.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:46 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -8\/3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*f - 3380 = -226*f. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7890 and 10830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 1, a: 2}. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 155626 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b + 5. Let q(o) = -11*o + 3. Let m(t) = 7*q(t) - 4*x(t). Let y(v) = 16*v**2 + 2*v. Give y(m(h)).\nAnswer: 11664*h**2 + 918*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/270 + 157*n**4\/36 - 472*n**3\/27 - 16217*n**2. Suppose j(i) = 0. Calculate i.\nAnswer: -472, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945 is divided by 1354.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 - 643 = -196*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14118047 is divided by 329.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 13. Let g be q(9). Suppose 329 = -g*s + 74. Let i = s + 98. Calculate the remainder when i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -5 (c) 1\/2 (d) 87761 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6013*l + 3873*l + 211860 = 0 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c + 2*c)*(-34 + 8*c + 61 - 31)*(4 - 3 + 1).\nAnswer: 32*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m + 7. Is 19 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 4. Determine i(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57436089?\nAnswer: 3, 43, 71, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 5\/3*u**3 - 2*u**2 + 0 + 53*u. Let w(m) = -9*m + 3. Calculate -4*q(f) - 5*w(f).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -62?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 2, m: 1, q: 1, a: 1, c: 1}. What is prob of sequence qm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.064099677 + 0.0641. What is t rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.09 - -15.7. Let w = 10.39 + m. Do w and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*v - 22, -2*n = 3*n + 3*v. Suppose 5*z = x + 55, 0*z + n*x = -3*z + 51. Solve 2*i = -i - z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -51*w**2\/2 + 99*w + 156. What is the derivative of b(m) wrt m?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 352. Let p(s) = -s**2 - 682. Determine p(d(c)).\nAnswer: -4*c**2 + 1408*c - 124586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591441406 to the power of 1\/3, to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -16, -28, -54, -100, -172, -276, -418?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-6))\/((-1)\/(-3)). Suppose 4*w + 24 = 5*v, 2*w = 2*v - v. What is the third derivative of 7*o**2 - v*o**2 + 2*o**5 - z*o**5 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, 4, -123, -258, -377?\n\"Answer: 4*m**3 - 40*m**2 - 3*m + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 5*r - 12. What is v(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 7. Let r be g(5). Suppose 3*j = r*d - 22, d - 4*j - 34 = -13. What is the remainder when 14 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.2. Let y be (-7)\/(-21)*(-2 - 7). What is the closest to -0.1 in y, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(1 - 228 - -4) is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -10e?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 290, 572, 854, 1136, 1418, 1700?\n\"Answer: 282*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 + 230*v**2\/7 + 228*v\/7.\nAnswer: 2*v*(v + 1)*(v + 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {i: 1, t: 3, m: 3, f: 2, y: 2, d: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 667302 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: Let o(m) = -m**2 - 20*m - 19. Let x be o(-19). Suppose -v + x*v = 83. Let j = v + 101. Solve 5*f - j = y + f, 5*y + 5*f - 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzll when four letters picked without replacement from {z: 2, s: 3, m: 1, l: 2, a: 6, w: 5}?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2 = 6*t. Let h be (3\/(-3)*0)\/t. Suppose 6*q + 3*g = 2*q + 171, h = q - 2*g - 29. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, m: 4, t: 5}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/3)\/(12\/(-18)). Suppose 2*j - 4*g - r + 3 = 0, -4*j + 22 = g. Solve -4 - 1 = -j*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278 (base 15) to base 8.\nAnswer: -1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -241 (b) -35 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 19*p**2 + 66 - 34 + 3*p**3 - 34 in the form g*p**3 + w*p + f + q*p**4 + z*p**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 1\/5, -365?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13283, -53471, -120559, -214547?\n\"Answer: -13450*d**2 + 162*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -385 - -333. Let t = 60 + j. Sort 1, 4\/5, t, -2 in descending order.\nAnswer: t, 1, 4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**5 - 14*c**4 - 16*c**3 + 8*c**2 = 0. Calculate c.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 17*x**2 - 38*x - 4. Let n be r(-19). Suppose 0 = -3*f + 3, 3*f + 9 = -3*k - 21. Let s = -9 - k. Sort n, s, 4.\nAnswer: n, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-96)*(-192)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 9, b: 4, g: 1, w: 3}. What is prob of picking 1 g, 1 w, and 1 l?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1.718.\nAnswer: -0.1718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 44?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 27925*x - 195513. Give v(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/682 and 79\/10.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 17 = -7. Suppose 3*o = 5*i - 0*o + 12, 2*i - 2*o + b = 0. Solve i = -3*c + 4*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24306605 (base 7) in base 5?\nAnswer: 1023423320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-2*m - 2*m + 2*m) - 4*m + m + 4*m + (0*m + 2*m - 3*m)*(-3 + 2 + 0) - 2 + 2*m + 2.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98823594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bydddjndnyln. What is prob of picking 3 n?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1536 divided by 192\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2. Let y(g) be the second derivative of -g**4\/6 + 22*g. Determine h(y(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 124407 divided by -13823\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erehrueees. Give prob of picking 1 r, 1 s, 1 h, and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*l - 1029 + 145 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7114575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 207\/(-30) - (-3)\/(-30). What is the tens digit of 13*93\/(10 + m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51893823 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27751, -55475, -83201, -110935, -138683, -166451, -194245?\n\"Answer: -r**3 + 5*r**2 - 27732*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4668 divide 1244899584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-2\/77)\/j))**(5\/12))**(-11) assuming j is positive.\nAnswer: j**(-1165\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/60 - 7*q**4\/24 + q**3\/6 - 5*q**2. Let j(g) = -g**3 - 6*g**2 + 2*g + 5. Let s be j(-6). What is d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*((-4)\/2)\/(-2))\/((-780)\/(-120))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354216?\nAnswer: 2, 3, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 7*n**2 + 3*n**2 - 4*n**3 - 8*n - n**2.\nAnswer: -4*n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*p - 1 = 8, 2*p + 26 = -4*w. Let t(z) = 7*z + 6. Let x be t(w). Let h = 102 + x. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101141447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2447*r**2\/7 - 185971*r\/7 + 76\/7 = 0.\nAnswer: -76, 1\/2447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-7\/8)\/(d**(-1))**(-4\/15) assuming d is positive.\nAnswer: d**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5520.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1289597 divided by 2.\nAnswer: -1289597\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*m + 52. Let l be ((-2)\/6)\/((-1)\/m). Let p(d) = d**3 - 24*d**2 - 24*d - 25. Let j be p(25). Solve j = l*v + 3*a - a + 5, -4*a = -20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -980482*l**5 + 2*l**4 + 2420876*l**2 wrt l.\nAnswer: -58828920*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + u**3 - u**3 + (-u**3 - 5*u**3 + 4*u**3)*(2 + 0 + 0) + (4*u**2 + 4*u**2 - 3*u**2)*(-6*u - u - 7*u).\nAnswer: -72*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/120 - f**5\/20 + f**4\/3 + f**3 + 4*f**2. Calculate the least common multiple of k(-5) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - d - 139 - 53.\nAnswer: -d - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 77.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 2. Suppose 3*n + 12 = 3*z, z - 5*n = 4*z - 12. Let w be s(z). Is -2 - (2 - -1)*w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01379 - 325733.\nAnswer: -325733.01379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 86 - 47) + 29 - 11?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -14712?\nAnswer: 14707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 693, 1554, -26 in ascending order.\nAnswer: -26, 693, 1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6499*w**6 + w**2 + 3*w + 244 wrt w?\nAnswer: 779880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**2 + 8 + 3*t**2 + 55 - 5*t**2 - 3*t**2 - 19*t wrt t?\nAnswer: -6*t - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(-1332*k**2 + 1332*k**2 - 3*k**4) to l*k**3 + t*k**2 + z + c*k + u*k**4 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 967 + -3905\/4. What is the common denominator of (-13)\/52*783\/(-225) and c?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z - 3. Suppose -2*w + 14 = -2*d, -5*d + 3*w = 4*w + 17. Let b be t(d). Suppose -b = -g - 3. Solve -3*m - 3 = 2*m + g*l, -l = -5*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x + 15*x - 15 - 12*x)*(4 - 1 - 4).\nAnswer: 12*x + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25212269 * -0.01.\nAnswer: -252122.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-21) - 352\/(-168). Suppose 0*q = -3*q + 30. What is the second derivative of 4*u**2 + 3*u**2 + 9*u - q*u**v wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v**(-7))\/((((v*v\/((v*v**5*v)\/v))\/v*v)\/v*v)\/(v*v*v*v**6*v*v)) assuming v is positive.\nAnswer: v**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.416 (b) -4 (c) -2\/79 (d) -2\/9 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*g + 132*g - 387*g + 128*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38267, 38265, 38263?\nAnswer: 38261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 - 13*t**3\/6 + 17*t**2 - 31*t. Let p be z(10). Solve 9*f - p*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1719, 211, -1, 1.\nAnswer: -3, -1, 1, 211, 1719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081590 plus 8?\nAnswer: -1081582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9197.8*5\nAnswer: -45989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 0.5 (c) -189 (d) 0.3 (e) 0.01 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1233452 or -1233433?\nAnswer: -1233452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 47891\nAnswer: 109\/47891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.701 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(5))**2*3 - (sqrt(605) - (-1*sqrt(605) + sqrt(605))**2)) + -4)*-4.\nAnswer: -56 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 12*y**2 - 13*y - 19. Let v be (-1)\/2 + 1932\/24. Let p be 36\/84 - v\/7. Let t be b(p). Solve -4*k + 1 = -t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 2*n - 4*n + 1)*(-2*n**2 + n**2 + 7*n**2) as h*n**3 + p + y*n + i*n**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13350*b*i*t**3 - 7217*b*t**3 - 2*b*t**2 + 2*b wrt i.\nAnswer: 13350*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 31 - 101) + 43.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47312451.\nAnswer: 3, 19, 92227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k**2. Let u(r) = -r**2 - r**2 + 3*r**2. What is o(u(f))?\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 7. Let b be w(-3). Let o = 28 - 82\/3. Put b, o, 4 in decreasing order.\nAnswer: 4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 24 + 23 = 3*c, -c + 4*t + 4 = 0. Which is greater: 13\/23 or c?\nAnswer: 13\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 7085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 11. Let m be ((-8)\/6)\/((-130)\/d). What is the nearest to -2 in m, -4, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7073064 decades in years?\nAnswer: 7.073064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.183, 2, -1.\nAnswer: -4, -1, -0.183, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30360 by -253.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1871456 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x + 12*x - 23*x + 13*x. Let t(h) = 3*h. Let p(y) be the first derivative of y**2\/2 + 2. Let s(c) = 7*p(c) - 3*t(c). Calculate s(v(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 100 + 2*l**3 - 11*l**2 - 35 - 32 - 30 in the form q*l + o + d*l**3 + v*l**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17787048 + -35687048. What is v rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 1083*y**5 - 19055898*y**4 - 10031241*y**3 + 26763096*y**2 + 7390908*y - 10346448 = 0.\nAnswer: -1, 14\/19, 17596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Let q be 6*(o - (-2)\/(-3)). Is (-987)\/(-18) - q\/24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 2. Let b be v(6). Let o(x) = x**3 + 5*x**2 + 3*x + 3. Let c be o(b). Suppose -c*d + 8*d - 20 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 3 + 0*u**2 - 1 + 5*u**2 + u**3 to the form t*u + f*u**2 + k + d*u**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 b when four letters picked without replacement from ccbcmcccccmccbbmcb.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 133942859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (134\/54)\/((-755)\/(-20385))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4 - 4701*u**3 - 2393499*u**2 - 365732055*u + 15390551826 = 0.\nAnswer: -587, -507, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -1. Suppose -2*m + 2*z - 3 = -9, z - i = -5*m. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b*r**3 + 570*b*r**2 - 6*r**3 wrt r.\nAnswer: -72*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -3*r**2\/2 + r + 5. Determine g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*j*p*v - 5*c**3*j*v**3 - 16*c**3*j + 2*c**2*p*v**2 - 2*c*j*p*v + 4*c*j*v**2 - 2*c*v**3 - 6*p wrt c?\nAnswer: 6*j*p*v - 30*j*v**3 - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.67225 seconds in milliseconds?\nAnswer: 12672.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/9 - 410*m**4\/3 + 64384*m**3\/9 - 998608*m**2\/9 + 362336*m - 3023072\/9 = 0?\nAnswer: 2, 26, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from ntnnivy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -519, -463, -395, -309, -199, -59, 117?\n\"Answer: m**3 + 49*m - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -725*o + 4320*o + 167*o in the form f + q*o and give q.\nAnswer: 3762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2 + 63324*l + 1002482244 = 0. Calculate l.\nAnswer: -31662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16048.4 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42476282 to the power of 1\/2, to the nearest integer?\nAnswer: 6517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 6 - 18 - 11*c - 76*c**3 + 16*c + c**2 + 10 to j*c + n*c**2 + a*c**3 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1907 = -5*c + 4813. Suppose -14*a + c = 10*a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6*w - 3*w = 22, 4*x + 3*w - 20 = 0. Let g be 4 - ((-12)\/(-4) + -7). Suppose -5*m + 283 = c, 124 = x*m - g*c + 3*c. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(29\/232*(-120)\/(-22) + 2\/(-11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 2*g + 23. Let q be w(-7). Let v = q - -38. Does 3 divide 0 + (14\/2 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 211, 423, 635, 847?\n\"Answer: 212*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8340341 rounded to three dps?\nAnswer: 2.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q + 3*q. Let k(x) be the second derivative of x + 1\/2*x**q - 1\/3*x**3 + 0. What is the derivative of k(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z + 30 = 0. Suppose i = -2*f - 24, -5*f - 4*i = -10*f - 73. Let q = f - z. Solve -8 = -5*d + 2*y, -q*y + 1 = -2*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7179906 and -3?\nAnswer: -8.1539718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 529\/26 - 41\/2. Let j be -4 - (-9)\/(6\/2). Let w be j\/((-7 - 3) + 3). Which is the biggest value? (a) w (b) 4\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - 4. Let y = 6 + -10. Let n be 6 + y\/1 + 2. Let q(w) = -w**2 - 1. Calculate n*q(v) - d(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3205325\/1456 + -4403\/2. Calculate the common denominator of g and -25\/13.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -20. What is the highest common factor of 48 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(((u**(-28)*u)\/u*u)\/u)))\/(u\/(u*u**(-7\/3)*u)))**3 assuming u is positive.\nAnswer: u**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 196390*z + 196385.\nAnswer: 5*(z + 1)*(z + 39277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d\/d**(-2\/5))))**4)**(-36))**(-1\/40) assuming d is positive.\nAnswer: d**(126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 > 21983860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12093 + -8445. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4)*(-5 + 5 + 7*p**2)*(-13 - 6 + 7*p + 20).\nAnswer: 196*p**3 + 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = 3*q, 2*q - 2*o - 24 = 4*q. Suppose d = -n, -2*n + 0*d + 5*d = -14. Let l(k) = -2*k**2 - 4. Let m be l(n). Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:15 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 60 + (26 - 0) + -2?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 462524 < 462535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6 (b) 12334 (c) -2\/11 (d) 11\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4430)\/(-308) + (-25)\/(-550) + -15 - (-202)\/84\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 592107?\nAnswer: 4736856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 3)*(3*f - 3*f - 2*f)*(6 - 3 + 4).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/5)\/(5\/25). Let h = 7 - y. Let k = 2 + h. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:17 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4475922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u**2 - 5*u + 6. Let j be o(2). Let q = j - 57. Let c(m) be the first derivative of m**2\/2 + 3*m - 1. Determine c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 7, j: 5, t: 6}. Give prob of sequence nv.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12453530 (base 6) to base 5.\nAnswer: -101133203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -15*i**4 - 208*i**3 - 632*i**2 - 512*i + 80 = 0?\nAnswer: -10, -2, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 57 = -3*u, -4*x + 3*u = 2*u + 45. Let h be 208\/3 + (-8)\/x. Suppose f = 6*f - h. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 544, 518, 460, 358, 200, -26?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let l(c) = 21*c**2 + 5*c. Let d(r) = -31*r**2 - 7*r. Let q(z) = -5*d(z) - 7*l(z). Determine q(a(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174400 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/92 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (2 - 219\/24) and -7\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 2*y**3 + 71065 - 5*y - 2*y**2 - 71066 - 6*y**4 in the form b*y**4 + i*y**2 + t + m*y + d*y**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1992443*k**3 - 15*k - 50565 wrt k.\nAnswer: 11954658*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*g + c, -g - 3*g = -5*c + 24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -263, -354, -523, -794?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 10049.\nAnswer: -5\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5\/6, 4, 57, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/23? (a) 136\/11 (b) 330 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-17)*p**11*(p\/p**1)**(-2\/37) assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5\/(-10)*(-715)\/(-110).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/20)\/v*v*v**(-17) assuming v is positive.\nAnswer: v**(-339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.79 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**10)**(-7\/5))**30 assuming l is positive.\nAnswer: l**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Suppose 4*g = 4*p - 175980, m*g + 219985 = 5*p + g. What is p rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - 5*s**3 - s**3 + 4*s**3)*(3 + 13 - 3) in the form n*s**3 + c + r*s**2 + m*s and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(156\/54)*7\/(-30). Let f(s) be the first derivative of 1 + 6*s**2 + j*s**4 + 23\/5*s**3 + 12\/5*s. Determine y, given that f(y) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - -10?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - (1 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(108) + 3)**2.\nAnswer: 216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(99)\/sqrt(9) + 4.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12217*r + 85518. Give x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 + 838. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - (2 + sqrt(180)))**2 - sqrt(45)*-3) + 1 + (3 + sqrt(405) + 2)*-3)*1.\nAnswer: -18*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 10*q + 8*q - 8 + 7. Let s(b) be the second derivative of -1\/2*b**3 - b + 0 + 1\/2*b**2. Determine 2*h(y) - s(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4091, -8181, -12273, -16367, -20463?\n\"Answer: -s**2 - 4087*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -546, -1086, -1828?\nAnswer: -2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + (-83 + 85 - (7 - 2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 25. Let q = o - -25.7. What is the smallest value in -0.5, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 4605.4.\nAnswer: -6908.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b**2 + 61*b - 10. What is a(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.9972 - 0.0272. Let z = -11.5 + q. Let j = z + -0.07. Put -2, -0.5, j in descending order.\nAnswer: j, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, c: 2}. Give prob of sequence cyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 4) in base 14?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 342? (a) -4 (b) -2.1 (c) -0.3 (d) 0.09 (e) -55 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.90079 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84656, 84657, 84658, 84659, 84660?\n\"Answer: b + 84655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 16\/(-10) - (-16)\/10. Let o(z) = -409*z**2 - z. Let d(x) = 410*x**2 + x. Let g(h) = -3*d(h) - 4*o(h). Is g(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39196?\nAnswer: 2, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*l = -0*l + 11, -l = -5*v + 41. Calculate the lowest common multiple of v and ((-185)\/(-2))\/5 + (-2)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2. Suppose -11 = s - 16. Suppose 0 = -5*d + 4*d + 2, d = -y + s. Let w(m) = -y*m - 1 + 6*m + 1. Calculate t(w(a)).\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -266*n**5\/3 + 111704*n**4 + 2424430*n**3\/3 - 1883300*n**2 - 1165784*n\/3 + 60816 = 0.\nAnswer: -9, -2\/7, 2\/19, 2, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1768 + 8384 - 299 + 2388 - 1241)*(o**3 - 3*o**3 + 0*o**3)*(0 - 1 + 3) to the form l + u*o + k*o**3 + a*o**2 and give k.\nAnswer: -44000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1811 = 49*i + 1027. Solve i*f = 5*l + 11*f + 10, -5*l = -3*f + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*v - 7*v - 19127*v**2 + 19052*v**2 wrt v?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*u + 754529 - 30*u**2 - 754529 - u**3.\nAnswer: -u*(u + 3)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -111*z**2 + 2218*z + 49. Give i(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -9 - 9. Let o(r) be the first derivative of 0*r - 1 + 1\/2*r**j. Let k(c) = -10*c**2. What is k(o(a))?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 3\/50*v**5 - 1\/40*v**4 + 1\/100*v**6 - 3\/350*v**7 - 2*v**2 - 3\/10*v**3 - 86 + 0*v - 1\/560*v**8. Suppose m(x) = 0. Calculate x.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(50)\/(-1*sqrt(40)) + (sqrt(90)\/(2*sqrt(9)))\/sqrt(2))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000201579207 to seven dps.\nAnswer: -0.0002016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219591682 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 23. Suppose 3*t + 54 = i*t. What is the remainder when 159 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -51*d**2 - 6*d - 93. Let i(s) = -23*s**2 - 2*s - 43. Let h(l) = -9*i(l) + 4*m(l). Let p(x) = x**2 - x. Give -h(t) + 6*p(t).\nAnswer: 3*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 702.\nAnswer: -5\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 1, -q - 16 = 228*j - 225*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.5 + -151.5. Let z = n + 140.7. Let f = -6.7 + z. Sort -8, 2, -4, f in decreasing order.\nAnswer: 2, f, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -164*i. Let o be z(1). Suppose 1122 + 1087 = 5*j - f, -1307 = -3*j - 4*f. Let l = j + o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2622193667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 19750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -49589*u - 3372045. What is m(-68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 take away -3095952232?\nAnswer: 3095952232.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*j. Factor 23*x**2 - 69*x**2 + 6*x + 20*x**2 + 23*x**j.\nAnswer: -3*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/3 + 1943*d**4\/3 + 963883*d**3\/3 + 6464647*d**2 = 0.\nAnswer: -961, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.36316943 plus 31915?\nAnswer: 31911.63683057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000101111010011011110 - 111000?\nAnswer: 1100000101111010010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.6+407144829.73\nAnswer: 407144831.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/360 - c**6\/720 - c**4\/6 + 5*c**2. Let q(l) be the second derivative of y(l). Find the second derivative of q(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + y + 3. Let b be m(0). Let q(l) = 2*l - 4. Let r(s) = 2*s - 3. Let c(n) = b*q(n) - 4*r(n). Let d(k) = 2*k**2. Give d(c(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -676?\nAnswer: -676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 0 (b) -5 (c) 3\/5 (d) 23.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2026 - 1067. Let m = j - 912. Which is the biggest value? (a) -4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 4*p**3 - 3*p**3 + (-4 + 4 - 2*p)*(-4 - 2*p**2 + 4) + (-3*p**2 + 3*p**2 + 3*p**2)*(p - 5*p - 7*p).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 28, 81, 168, 295, 468, 693, 976?\nAnswer: 1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10. Let f = 3 - 4. Let i be (-3)\/((-3)\/(-9)*f). Solve g + i = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 4 (b) -0.4 (c) -0.1 (d) 8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -25, -104, -255, -502, -869, -1380?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 4047*n**4 + n**3 - n - 13*n**2 + 1 - 5 + 4049*n**4 to g*n**2 + j + c*n**3 + w*n**4 + u*n and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375894699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose -7*b + v*g + 9 = -2*b, 24 = 4*b + g. Let j(n) = n**3 - 9*n**2 + 2*n - 14. Let d be j(9). Solve -2*w + 0*a = a, d*w = -b*a - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349529.\nAnswer: 349529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293*k**3 - 286.\nAnswer: 879*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -b - 5, 2*z - 4*z + 35 = 5*b. Suppose -4*u = -z - 15. Suppose -179*j = -174*j + 5. Put j, -2, u in decreasing order.\nAnswer: u, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -7 + 3, 2*w - 2*s = 8. What is the remainder when 10 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:17 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 1\/168 (c) -73 (d) -1 (e) -2 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6 + (-3)\/(-6) + 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.6 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = -4*d - 19, 4*o + 3*d - 28 = 0. Suppose 2*v - 3502 = -o*u, 4*u - 581 = 5*v - 9364. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6935 and 3033369.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/6)\/(4 - 2068\/516)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8359 + 28679 = 2*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064 a factor of 775941528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, k: 1, m: 1, n: 2, y: 2}. Give prob of picking 1 w and 2 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**4 + d**2. Let g(r) = 10*r**4 + 3*r**2. Suppose 84 = -45*f + 42*f. Let m(x) = f*v(x) + 4*g(x). Find the third derivative of m(k) wrt k.\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 70. Let z be (m\/22)\/((-2)\/(-12)). Find j such that -2\/13*j + 6\/13 + 6\/13*j**4 + 4\/13*j**z - 12\/13*j**2 - 2\/13*j**5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19128*k**3 - 8388*k**2?\nAnswer: 114768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 246.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8209 divided by -1\nAnswer: -8209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*((-4)\/(-14) + 0). Let b(h) be the second derivative of 1\/2*h**v + 0*h**3 - 2*h + 0*h**4 + 0 + 1\/5*h**5. Find the first derivative of b(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -88.\nAnswer: 111\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 24*v + 6. Let i(u) = -3*u**2. What is l(i(k))?\nAnswer: 27*k**4 + 72*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*m - 8, -3*n - 5*m + 7 = -19. Suppose 8*l = 3*l - 4*j + n, 3*j = 3*l - 12. What is the remainder when 42 is divided by 30\/((-4)\/(-4 + l))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = g - 64 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glgehhez. What is prob of picking 1 l and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -286*f**2 + 77. Let d(c) = 11*c**2 - 3. What is 77*d(r) + 3*o(r)?\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 + 3002 = 62*z + 10*z. Let b(i) = i**2 + 3*i - 3. Let n be b(-5). Let p = 12 - n. Calculate the greatest common divisor of p and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3 + 1 - 2 - 1 + (-2 + 1 - 1)*(3 - 2 - 2) + 1 + 3 - 6)*(42*u**3 + 38*u**3 - 36*u**3) to the form t*u**2 + z*u + v + f*u**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72985 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -146*p + 5\/4*p**4 - 5\/2*p**3 + 0 - 1\/4*p**5 + 5\/2*p**2. Factor u(i).\nAnswer: -5*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 95*v. Let p(u) be the first derivative of -3*u**2\/2 + 890. Calculate p(y(o)).\nAnswer: -285*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000220633 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.9 + 11.9. Which is the second biggest value? (a) o (b) 2 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1799 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1037.871 - -1038. Sort -5, w, 1\/5 in descending order.\nAnswer: 1\/5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 66. Let g(w) = 9*w + 257. Give -6*g(s) + 26*m(s).\nAnswer: -2*s + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565376 and 896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -18. Let g be (-18)\/(-21) - (y - 6). Suppose g*l + 6\/7*l**2 + 2\/7*l**3 + 2\/7 = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:38 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 - 148*p + 64. Give o(-21).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + 24 + -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 19. Let a be v(8). Suppose -a*y - 11 = 34. Let i = 42 + y. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2. Let g(c) = 467*c**2. Calculate g(h(d)).\nAnswer: 467*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 + 13*o**2\/2 + 5*o. Let n be s(-7). Suppose -4*m - 4*f + 2*f = n, -5*m - 3*f = 10. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1820278 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23157, 23184, 23235, 23316, 23433?\n\"Answer: v**3 + 6*v**2 + 2*v + 23148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -8*r + 24082 - 24214 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11\/((i\/((i\/(i\/(i\/i**(5\/2))))\/i))\/i))\/((i\/i**39)\/i*i\/(i\/(i*i**(-1)))) assuming i is positive.\nAnswer: i**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2425256 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/37 and -25\/74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*3 + (-1)\/((-4)\/12). Suppose q = 5*f + 4*i - 22, -2*f - f + 21 = 5*i. Let w be 10\/(-4) + f\/(-4). Is -5 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:50 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/20)*t)\/t*t**(-18))\/(t**(-2)*t*t*t\/(t**(1\/17)*t)) assuming t is positive.\nAnswer: t**(-6151\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 55)*244\/(-183). Is o bigger than -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + -0.9. Which is the smallest value? (a) -0.2 (b) 0.8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 245211 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2331 = -11*v. Calculate the remainder when v is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 105*n + 315. Let w(r) = -r - 9. Determine 2*p(z) + 70*w(z).\nAnswer: 140*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -364516.2 to the nearest one hundred.\nAnswer: -364500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.3 (c) -1.7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 112 + 4 = 0. Suppose 150 = 4*q - s. Solve -4*b - q + 16 = -2*l, -l + 5*b + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-348)\/783)\/(((-4)\/(-9))\/(-2)))\/((-5)\/(-60))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = -2, a + 40 = 2*v. Let k = v + 8. Let b = k - 25. Which is greater: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 485.\nAnswer: -21\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45426.\nAnswer: 2, 3, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.4 + -9.44. Round x to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 2*r + 1. Suppose 10 = -5*p + 25. Suppose 2*q - 5*n + n = 2, 0 = 2*q - n + 7. Let k = q + p. Give z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-2)\/(-8) - 0). Suppose -5*h - 80 = 5*f, -5*h - f - 33 = 51. Let l be h\/(-7) + (-12)\/28. Put l, -1, m in increasing order.\nAnswer: m, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -116 + 112 - (-36 - 1 - (-11 - -11)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-2746)\/(-2)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7017678 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1163393180*b*z**2 - 87*b*z + 5618351 wrt z?\nAnswer: -2326786360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 8*r - 11 = -28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -76475.\nAnswer: 76474.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.2 - -55. What is the closest to 0 in 4\/3, 3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*m - 221, -d + 3*m + 2*m = -102. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-533*k - 60*k - 48*k)*(-5*k - 4*k + 5*k).\nAnswer: 2564*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:15 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 902 + -904. What is the closest to 1 in f, 17, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let o(v) = -v**2 + 4*v - 1. Let m be o(u). Suppose -2*l + a = -a - 22, -m*a = 3*l - 8. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) 98 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5229\/273 - 17 - (-2)\/(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 x when three letters picked without replacement from {c: 6, z: 1, o: 4, x: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/6540 and -163\/270.\nAnswer: 58860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 - 759\/4. Which is smaller: i or 0.34?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171254996 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18576 and 2016528?\nAnswer: 18148752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*6\/(-28)*(-56)\/70?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.343 rounded to one decimal place?\nAnswer: 27.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2895)\/(-45) + 2\/3. Is 65 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2))\/sqrt(10)*-4*4.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -50391 divided by -50391\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:35 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 - 772*i + 74498 = 0. What is i?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 20 + 53 - 27*l**3 - 3*l**3 + 16*l**2 in the form a*l**2 + k + j*l + u*l**3 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**6\/18 + t**5\/3 - 2*t**4\/3 - 4*t**3\/3 - 11428. Find n such that i(n) = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 16*a**2 + 47*a - 3. Let w be t(-3). Suppose -u - 5*y = u - 7, u + 3*y - 3 = w. What is the smallest common multiple of u and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 8*p + 13. Let i be a(8). What is the units digit of -3*8\/18*i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18773?\nAnswer: 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:37 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 24 = -4*w - 3*j, 5*j = -w - 18. Let c be (1\/(1\/(-1)))\/1. Let o be w*(4 - 2) - c. Sort 5, o, 3 in decreasing order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30668.1 - 5?\nAnswer: -30673.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:57 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46866904?\nAnswer: 2, 7, 43, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91\/2 - 45. Suppose 0 = -a + p - 3, -3*p = -5*a + p - 11. Let o = 0.42 - 0.02. What is the second biggest value in a, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 2775*c - 369630.\nAnswer: -5*(c + 222)*(c + 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495252 is divided by 164962?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3238, 0.1, 0.2, 1 in decreasing order.\nAnswer: 3238, 7, 1, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - 4*m = 0, m - 4 = 0. Sort -2, 2, -4, k in decreasing order.\nAnswer: k, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) 0.3 (c) -0.2 (d) -85\/11 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 + -150. Suppose g - 118 = -2*i. Solve -3*l + 0*l - 25 = -i*b, -5*b = l - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 1652. Let u(v) = -7*v. What is u(r(z))?\nAnswer: -14*z - 11564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 128*i**2 + 73*i - 19. Let n(a) = 64*a**2 + 39*a - 9. Let b(w) = -11*n(w) + 6*o(w). Is b(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860424 + 153524 = -73*p + 21*p. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4*a + 6. Let q be n(4). Suppose 2*u - q = -u. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(12\/(-3))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3793111 litres in millilitres?\nAnswer: 379.3111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -336135123863 and 0.4.\nAnswer: -336135123862.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -12. Let n(s) = s**2 - 5*s - 3. Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 25*a + 26. Let w be j(6). Let v = 178 - w. Solve -b - f = -v*f, b + 8 = 3*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 + 172805*n\/2 + 1296025\/3.\nAnswer: (n + 5)*(n + 518410)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.09 (b) -8 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5 - -2) + 2)*6. Let z = -1 - y. Is 422\/z*50\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q**3\/3 - 1. Let d(k) be the second derivative of -k**3\/3 + 12*k. What is f(d(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 29*x - 95. What is l(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y + 52. Let f be z(-8). Suppose -5*v - 301776865 - 26723151 = 4*s, -f = s. Round v to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6)*-8*3. Suppose -n*k - 2*f = -8 - 0, 2*k = -2*f. Let l be (-15)\/27 + (-2)\/(-6). What is the second biggest value in l, k, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*d - 294, -700 = -5*j - 2*d + 5*d. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.034 - -28.966. Let r = s + -38.5. What is r rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**8\/3360 + h**6\/360 + h**4\/4 - 2*h. Let t(g) be the third derivative of u(g). What is the second derivative of t(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let u(v) = -3*v**2 - 11. Let w(k) = -k**2 - 2. Let r(p) = -u(p) + 2*w(p). Determine r(g(c)).\nAnswer: c**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.4 (c) 828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9729 by 69.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 93 = -5*o, 2*v + 4*o - 82 = 10. Calculate the remainder when v is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:58 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14532226 = 245*h + 114*h - 1755604. List the prime factors of h.\nAnswer: 2, 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -388 - 164. Let t = d + 552.1172. What is t rounded to 3 dps?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 202797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -11) + 8 + (-3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -1\/2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4255 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 u when four letters picked without replacement from {y: 3, k: 1, u: 5, i: 7}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 7*z = -9. Is (z - -26)*(2 + -1 + 0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.244 + -0.044. Sort h, -2\/3, 5 in decreasing order.\nAnswer: 5, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:00 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 13 - 0 - (-38 - -7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30282.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2472\/2266)\/((-9)\/(-18)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(22)\/sqrt(2)))\/sqrt(4))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -141123 - -0.02\nAnswer: -141122.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24055, -47193, -70331, -93469?\n\"Answer: -23138*l - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {t: 2, j: 2, q: 2, e: 3, d: 2, k: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4300 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + b = x - 25, 2*b = 0. Suppose -2*g - x = -7*g. Sort -7, g, 2 in increasing order.\nAnswer: -7, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krdjeex. What is prob of sequence xd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.6457 milligrams in grams?\nAnswer: 0.7466457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*f + 3*f - 37, t - 3*f = 55. What is the greatest common divisor of t and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x + 6. Give r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3787875496?\nAnswer: 2, 2963, 159799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88119901 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 + 0)*(0 - 1 + 0) + 5 - 3 - 4 - 53 - 56 + 12 - 4 + 0 + 2)*(4*q - 5*q - 5*q)*(-1 + 0 + 4) to d + g*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b. Let i(a) be the first derivative of 31*a**6\/360 + 49*a**3\/3 + 8. Let h(t) be the third derivative of i(t). What is h(v(z))?\nAnswer: 279*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/56*(-48)\/20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5197*k + 1120*k + 1178*k + 1722*k + 1175*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -13*g + 51619. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -1\/3*o**3 + 0*o**2 - o + 0. Let b(p) be the second derivative of -p**3\/2 - 13*p. What is b(d(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(2\/13)\/o))**(-4)\/(o*o\/o**(-6\/7)*o*(o*(o*o**(3\/14)*o*o)\/o*o)\/o) assuming o is positive.\nAnswer: o**(-2631\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/(17\/(-34))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141333007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.3 + 174.3. Which is smaller: f or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000075755 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13038?\nAnswer: 2, 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(833) + (sqrt(833) - (0 + sqrt(833))*1))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 4. Let g be i(-2). Suppose g = v + 1, v - 4 - 10 = -3*c. Solve 4*x - 4 = -3*b, c*b + 0 = 3*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 67. Solve p = b, -p = 3*p + 3*b + q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62.59 + -62.89. Sort 3\/4, -1\/5, 277, x in decreasing order.\nAnswer: 277, 3\/4, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868*1.\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -121202 (base 3) to base 15\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 3*b - 372. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 7*d + 2174 = -4*t, 1732 = 4*d - 5*t. Let r = d + -305. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*c + a, -344*c = -339*c - a + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (4 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034 = -109*r + 1909 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-201)\/(-67))\/((-3)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 507, 562, 773, 1236, 2047, 3302, 5097, 7528?\n\"Answer: 16*y**3 - 18*y**2 - 3*y + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27506 or 27456?\nAnswer: 27456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*y**3 - 55*y**2 - y?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 11. Let n be m(7). Suppose -n*w + 5*w = 12. Let z = 37 - 19. What is the smallest common multiple of w and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 143933a - 1?\nAnswer: 1439339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.77 + 540606.8\nAnswer: 540605.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30240 = 398*c - 326*c. Calculate the smallest common multiple of c and 1470.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*t + 20 = -2*t, 0 = -4*t - 12. Suppose 8*j = 3*j, 3*u + 150 = 5*j. Let b = 53 + u. Solve h*g + c = b*g + 2, 2 = -5*g + c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1183.79 or 0.2803?\nAnswer: 1183.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887074 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9)\/(-1)*(-14 + 20). Which is the second biggest value? (a) 0.02 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/11)\/9)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -121*l**4\/6 - 410*l**3\/3 + 21*l**2 + 7. What is the first derivative of w(t) wrt t?\nAnswer: -484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3421 in -2\/3, 0.5, 1, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -3 - 6*-1. Let x(b) = -5*b**3 - 2*b**2 - b. Let n be x(-1). What is the first derivative of -1 + 5*l**p + 2 - 3*l**n - 5 wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 6*z. Let q(p) = 11*p**2 - 13*p. Let i(b) = -6*q(b) + 13*x(b). Let w(s) = -2*s. Give i(w(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 52, 77, 104?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 513*k**3 - 1608*k?\nAnswer: 3078*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:17 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65371200 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 - 5*c + 4. Let f(k) = -6*k**3 + 6*k - 4. Let v(h) = 6*f(h) + 7*s(h). What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 1920\/112)\/(168\/21 + -12)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4043 and 4024813.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:14 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5*k - 2*k**2 - 6*k - 6.\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, v: 4, n: 1, m: 7, r: 2}. What is prob of sequence vzrn?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 2, q: 1, i: 1}. Give prob of picking 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(363) + -6*1*sqrt(363) + sqrt(363))**2.\nAnswer: -440*sqrt(3) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1705.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87625 is divided by 321?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 93?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 3*u**4 + 4*u**4 + (u**2 - 2*u**2 + 3*u**2)*(6*u**2 - 4*u**2 - u**2) + 329*u**4 - 840*u**4 - 745*u**4.\nAnswer: -1255*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -576, -557, -512, -429, -296?\n\"Answer: 2*t**3 + t**2 + 2*t - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11561616 and 403605504.\nAnswer: 4439660544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1117\/6 + -187. Let o = 0.149 + -43.149. Let x = o + 42. Which is the closest to -1? (a) -3 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 747936 divided by 5936.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Suppose 0 = -k - g*k + 4. Let y(j) = 18*j**3 - j + 1. Is y(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -60. Let w(c) be the first derivative of -18 - 3*c**5 + 4*c + 13 + k*c. Differentiate w(n) with respect to n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 + 21*s - 149. Let h be d(-8). Let z(a) = -2*a**3 + 5*a**2 - 3*a**2 + 4 - a**2 + 4*a - 5*a. Determine z(h).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Suppose 200 = j + h*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 143*t**2 + 8*t - 57. Let q(p) = 430*p**2 + 23*p - 171. Let x(c) = -6*q(c) + 17*r(c). Find the second derivative of x(j) wrt j.\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l = 107*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 + -158. Calculate the remainder when 50 is divided by 5 + 22\/2 + b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233\/672 - 3\/224. Which is the second smallest value? (a) -2\/237 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*s + 2*s. Suppose 0 = n - l, -4*l + s*l = 4*n - 18. Suppose 2*i + 5 = n*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/60 - 62*m**2. Let p(v) = -2*v + 3. Calculate b(p(n)).\nAnswer: 4*n**2 - 12*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19 (b) 1 (c) -2 (d) 2 (e) 1\/6 (f) 5.606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-27)\/(-4))\/(-9))\/(61867902\/6186792 - 10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - 0. Suppose k = -3*b - 11. Let z = -3 - b. Solve -w + 0*w + z = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p**2 + 5*p + 3. Let f be y(3). Let i be f\/3 - (-1 + -29). Suppose 35*a = i*a + 26. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-120) - 4\/(-5)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14917*o**3 - 9*o**2 + 4*o + 5. What are the prime factors of m(1)?\nAnswer: 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 311*c + 8 + 36*c + 23.\nAnswer: 347*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 - 2. Let q be p(0). List the prime factors of 8\/(256\/2632) + q\/8.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14091 and 0.2.\nAnswer: 14091.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9456 - -9456.2. What is the smallest value in 1, p, -4\/27, 5?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267*l**3 - 9*l**2 + 43*l?\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8902 - -8883) + (52 - 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079822 rounded to 6 decimal places?\nAnswer: 0.000798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2233 and 308?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*j**3 - 317*j**3 + 2*j + 476*j**3.\nAnswer: 533*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 + 251. What is the smallest value in k, -1\/5, 4\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 129. Suppose -33 - a = -11*m. Let l(j) = j**3 + 7*j**2 + 2*j + 3. Let u be l(-6). Solve 3*d - m*d - w = u, -11 = d + 3*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3493429um to kilometers.\nAnswer: 0.0000000003493429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200598, -1200597, -1200596, -1200595, -1200594?\nAnswer: -1200593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - ((1 - 6) + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f**2 - 1\/3*f**3 - 5 + 1\/10*f**5 + 1\/2*f + 0*f**4. Find p such that j(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186424.\nAnswer: 2, 7, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*i + 19 + 21. Let s(t) = 1. Let d(y) = 3*y + 3. Let w(u) = i*d(u) + 2*s(u). Determine w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(100)\/sqrt(2)*2)\/(sqrt(90) - -1*sqrt(90) - sqrt(90)) + -1)**2.\nAnswer: -20*sqrt(5)\/3 + 245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 5. What is b(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 6 = 36. Is ((-5)\/3)\/(w\/(-609)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 186 - 191 = v, 2*c - 392 = 4*v. Let g = -8 + 132. Calculate the highest common factor of c and g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1392*h**4 + 7*h**3 - 789381*h**2 wrt h?\nAnswer: -33408*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2391*w + 1623. Is t(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.4, -9, -14, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158978 is divided by 5480.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 124*y - 27019. Give h(218).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 427*t - 411*t - 22608. Round t to the nearest ten.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 123260, 5, -1\/6, 5.7 in descending order.\nAnswer: 123260, 5.7, 5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 422252 + 155?\nAnswer: 422427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 5 + 2*o**2 + 1 - 3 in the form c*o + s + l*o**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d*h*v**3 + 13*d*h*v + 34685135*d*v**3 - d*v + h*v + 9*h + 10*v**2 + 187 wrt v.\nAnswer: 18*d*h + 208110810*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4.940217 - -57\nAnswer: 52.059783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*o + 38*o + 2432 = 34*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*b - 28, -2*b - 9 = 5*j + 3. Let s = 2 + -4. Let f be (s\/j)\/((-3)\/18). Which is greater: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 10:19 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31720 at least 348924\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 9*t**2 - 12*t + 25. Let d be 4 + 0 + 1 + (-4 - -5). Let v = -77 - -109. Calculate the remainder when m(d) is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/21 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16) - (21 + 10)\/(5\/15*-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 15*z - 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/21)\/((-3)\/1554). Let y = 446 - n. Solve 0 = y*v + 14 - 24 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v + 6 = -118*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.6 (c) -0.4 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.4, -0.03, 46, 4.9 in descending order.\nAnswer: 46, 4.9, 0.4, 0.01, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 245 - 7162c?\nAnswer: -713e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3262042950?\nAnswer: 2, 3, 5, 2731, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -6247870698525?\nAnswer: -6247870698525.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -35. Factor -6*j - 4*j**5 + 3*j**3 + j**z + 6*j.\nAnswer: -3*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263218*p**3 - 159283*p**3 - 103941*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, -364.484.\nAnswer: -364.484, -27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(243) + (sqrt(243) - (sqrt(243) - sqrt(243)*2) - sqrt(243))) + -3*-2*sqrt(243))\/(sqrt(9) + sqrt(54)\/sqrt(54) - sqrt(288)\/sqrt(2)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -40?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h + r, 4*h + 4*r = -0*h + 20. Calculate the highest common divisor of 16 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 181 - 329. Let y = b - 5. Calculate the remainder when y is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*q + 4*m = 91, -3*q = -4*m - 107. Suppose -6*f - 178 = -3*t - f, -5*t - 4*f = -346. What is the highest common divisor of q and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60229, -120406, -180581, -240754, -300925?\nAnswer: -361094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -800 - -406. Let q = s - -394.0163. What is q rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013704 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 6299994. Let r be (-2)\/14 - o\/14. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and 137\/18034584.\nAnswer: 54103752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 8:45 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 20 = 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p + 6. Give g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.34 (b) 2 (c) -6\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 - 192. Suppose l = -0*b + d*b - 8, 3*l - 2 = 2*b. Solve 0 = -0*c + 2*c - n, -5*c - l*n = -18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g**2 - g. Let b(j) = 36*j**2 + 6*j. What is 5*b(s) + 40*n(s)?\nAnswer: -340*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3081*i - 1586?\nAnswer: 3081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 36 + -41 + -32?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -209\/17?\nAnswer: -209\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 84*y - 4488. Determine n(37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192166 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -z + 1646, 0*z + 3*z + 3*l = 4932. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.92 - 253.08. Let w = j - -254. Which is the smallest value? (a) -8 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2490398855 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6044776405 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 - 30*r - 35 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2401051005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 24*q**2 + q + 1. Let w(j) = 117*j**2 + 5*j + 5. Let s(r) = 5*l(r) - w(r). Let n(t) = 2*t**2 - 33. Calculate s(n(g)).\nAnswer: 12*g**4 - 396*g**2 + 3267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let u(g) = -g - 6. Let p be u(-12). Let t be (((-27)\/p)\/(-3))\/6. Which is greater: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2093 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 17*h - 170. Let s be f(0). Let g be 3 - -6 - 4 - s. What is the highest common factor of 140 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27823 take away -81455459?\nAnswer: 81427636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:31 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**2*r**2 - 41*k**2*r - 11*k**2 - 16053*k*r - r**2 wrt k.\nAnswer: 6*r**2 - 82*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 22. Let m = i - 17. Calculate the remainder when ((-74)\/m)\/(3\/12) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 13*y**2 + 90*y - 1232. Determine m(13).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302160.\nAnswer: 2, 3, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5*l + 28, -5*l = -2*v + 113 - 87 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722771 is divided by 1689.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 454162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-5)\/(-25) - (-989)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m - 26. Determine p(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.38294?\nAnswer: -5.36116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -2456, -5523, -9818, -15341?\nAnswer: -22092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 + 3*u + 2. Let t be m(6). Let i(w) = -144*w + 15. Let q be i(t). What is the remainder when (-2)\/(-5) + 2 + q\/15 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-32)\/(n**(-28)*n\/(n\/n**(-7\/9))) assuming n is positive.\nAnswer: n**(451\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.030147 + 421422\nAnswer: 421421.969853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38269824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4)*((-8)\/23)\/4.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194.552709334 + 49.\nAnswer: -145.552709334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -28*h**2 - 36*h - 35*h**2 + 7*h**4 + 45*h + 6 - 34*h**4 + 75*h**b = 0. What is h?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 32*p**2 - 223*p - 441. Let n be y(-2). Solve -221 + n = 11*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 57 (b) 1\/7 (c) 2\/23 (d) -0.1 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 869022316 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l - 4*b = -17, 2*b = 10. Suppose 49*z - 15 = 46*z. Let y be (2 - (-23)\/z)*(32 - 27). Solve -m + l*x - 2*x + 7 = 0, 4*x = 5*m - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/15 - 158076*f**2\/5 + 316154*f\/5 - 474232\/15 = 0.\nAnswer: -237116, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39013344\/23 + 1693694. Let g = 2539 + c. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8011334 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19610 divided by 185\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -2\/9, -1\/283?\nAnswer: -1\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = -30. Let c(m) = 0*m**3 + 2*m**2 - m**2 + 1 - m**3. Let x(d) = d**4 + 4*d**3 - 5*d**2 - 6. Let u(j) = z*c(j) + x(j). Factor u(t).\nAnswer: t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*t**2 + t + 9 - 3 + 2*t**3 + 9*t**3 as m*t**2 + l + b*t**3 + v*t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 26. Solve 5*q = w + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 13*s + 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, -74, 1, 16 in increasing order.\nAnswer: -74, 0, 1, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t - 86*t + 1280 = 0. Calculate the greatest common divisor of 260 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/6 + q**4\/6 - q**3\/6 + 3*q**2\/2 + 3. Let s(d) be the second derivative of h(d). Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-15) - 3)*27\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 9*y - 6*y. Let v(t) = -t. Suppose -5*d + 6 + 19 = 0. Let z(o) = -16*o. Let k(x) = d*v(x) + z(x). Calculate s(k(j)).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2259 and 1076790?\nAnswer: 3230370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1785275\/14 or -127521?\nAnswer: -1785275\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 76*y - 78*y - 13 - 9 = -6, -7*y - 11 = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607 is divided by 622.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 276*t**2 + 2460*t + 87412.\nAnswer: 4*(t - 41)**2*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddrdddddddrddddd. Give prob of sequence rr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z - 1. Suppose -v + z + 13 = 0. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150243 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-16)*(-2)\/5. Let y be -118 - (-3 - (g\/(-1) - 3)). What is the units digit of -3 - -3 - -2 - y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) -81 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*f, -5*f = 4*h - 3*h. Let t(z) = z**2 - 6*z + 2. Let r be t(6). Solve r*x + 1 + 1 = h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3422 and 51330?\nAnswer: 51330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-6) - 2\/(-3). Let j = q + 15. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435448 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*y, -20*d = 42*y - 43*y + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let w = -0.1397 - -1.139636. Let s = m - w. Round s to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 627753917.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 3. Let s(z) = z**3 + z. Let m be s(n). Let l = m - 0. Is l <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21212221 (base 3) to base 10.\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -8, -3, 0, 1, 0, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386 and 263180783?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*h - 15*h + 6169 + 2671 = -23*h for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013 (base 6) in base 8?\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 2776 + 1951 = 0 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 350\/(-75)*186\/(-28)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 59*u - 5)*(-1 + 1 + u**3 + (2*u + 0 + 0)*(7 + u**2 - 7)).\nAnswer: 177*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 23. Let v be x(-15). Suppose 7*u + 13 = v*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87073, -87072, -87071, -87070, -87069, -87068?\nAnswer: -87067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 - 2*x - 4. Suppose -3*d - 18 = -6. Determine l(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.9 in -8, 1, 2.11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 56. Calculate the remainder when 104 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 991, 1495, 1997?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*u + 5*u + 12 = 0, -2*u + 2 = 5*n. Suppose 0*r - r = -6. What is the first derivative of r - v**2 - 2*v**2 - v**n wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*a**2 + 60*a**2 - 64*a**2 - 98*a**2 - 144*a**2)*(-26*a + 0*a - 13*a) to r + g*a**3 + s*a + m*a**2 and give g.\nAnswer: 8619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -4755\nAnswer: -1426.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:49 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17105.88 months to millennia.\nAnswer: 1.42549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/9*d**3 + 0*d - 32\/9*d**2 + 0 - 2\/9*d**4 = 0 for d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 83. Let o(s) = -1 - 6*s - 6*s - s**2 + 14. Is o(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + sqrt(264)\/(sqrt(6)*-3).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115, 109, 107, 115, 139, 185?\n\"Answer: r**3 - 4*r**2 - r + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 24*u = 13, 4*k + 2*u + u - 96 + 92 = 55 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 19.2. Let n = h + 4.2. Which is the second biggest value? (a) -3\/2 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111259304 - -35757.4\nAnswer: 111295061.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -333.911 less than 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-514 - 18*w + 514)*(-4*w + 3*w + 0*w + (1 + 2 - 2)*(2*w - w - 4*w) - 4*w + 5*w - 3*w + 3*w + 2*w - 3*w).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*d + (0*d + 0*d - 2*d)*(1332 + 1 + 561)*(2 + 2 - 2).\nAnswer: -7578*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 2*x**2 - x**2)*(4*x - 32*x - 24*x + (-2*x + 3 - 3)*(-4 - 3 + 2)).\nAnswer: -126*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/176)\/(72\/132)*10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 6. Let y be j(5). Let g be 10*(y - 18\/10). Let d(m) = -m**3 - 8*m**2 + 4. What is the units digit of d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10636 is divided by 304.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 13.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0)*(-1 - 1 + 5)*(-34 - 4 - 4).\nAnswer: -126*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:47 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -32*t - 754. Let w be y(-24). What is the highest common divisor of 3318 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19294810*k = 19294585*k - 30600 for k.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628 = 93*i - 46*i + 171 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 8:52 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 4*z)*(3 + z**2 - z - 3).\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -77237758446.61?\nAnswer: -77237758462.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217 at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 29*s + 51. Determine v(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (28\/10)\/((-328)\/410)*5330*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykyypkyyyppkkpyk. Give prob of sequence ypk.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*l**3 + 406*i**3 - 152*i**2*l**4 + i**2*l wrt l.\nAnswer: 12*i**3*l - 1824*i**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 12. Let i be w(6). Suppose -4*t - 24 = l - 4*l, 0 = 5*t - 5*l + i. Let x be (t\/(-4))\/((-6)\/(-14)). Sort -0.5, x, -3.\nAnswer: -3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 89501500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174, -298, -422, -540, -646, -734, -798, -832?\n\"Answer: p**3 - 6*p**2 - 113*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -11.07?\nAnswer: 22.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2050 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + 52\/20. Suppose 5*y = -i + 19, 4*y + o*i - 21 = 3. Solve -9 = -3*j + y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 770 - 769.9. Is 76.9 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20625000 (base 8) in base 5?\nAnswer: -2111323124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 8 + 0*c - 10\/3*c**3 - 5\/24*c**4 + 0*c**2 + 1\/120*c**5. Let q(f) be the third derivative of j(f). Determine q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7561.9282 + -7563. Let y = g + -0.0282. Which is the closest to 1? (a) 2 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrn when three letters picked without replacement from {n: 2, r: 3, y: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 5. Let g(j) be the first derivative of j**6\/60 + j**5\/30 - j**4\/24 - 21*j**2\/2 - 22. Let o(t) be the second derivative of g(t). Give o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 11*p = 7*p + 418 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 19*d - 2. Suppose 4*t - 15*c = -12*c - 14, 16 = -4*t + 4*c. Let l(k) = -k + 1. Give t*l(o) - m(o).\nAnswer: -2*o**3 + 21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)\/(y*y*y**(-2\/7))*y\/y**(-2)*y*y*y*y**(-6))\/((y\/(y*y**5\/y))\/y*y\/y**(-1\/4))**(-2\/15) assuming y is positive.\nAnswer: y**(-149\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**2 + 38710*a + 26873205 = 0.\nAnswer: -6971, -771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-8)*66\/(-4)*91\/((-6825)\/50).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -455541 (base 6) to base 14.\nAnswer: -10245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 5)*-1 + 375?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*105\/20)\/((229\/(-3435))\/(8\/10))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13320 (base 4) to base 2\nAnswer: -111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-403200)\/(-396))\/56 - 144\/8\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -8. Let o = -73.96 + 15.96. Are z and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d**2 - d - 5. Let y(c) = 28*c**2 + 2*c + 11. Let b(t) = -3*y(t) - 7*z(t). What is the units digit of b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 393553\/24988 + 2\/6247. Let n = b - 31\/2. Factor -3\/4 + n*d**2 - 1\/2*d.\nAnswer: (d - 3)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 513*p. Let j(k) = -31*k. Let o(s) = -2*g(s) - 33*j(s). Let t(n) = n**2 + 5*n. Calculate -5*o(d) - 3*t(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:20 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3019833399\/46 - -65651179. Let c = z + -2627. What is the common denominator of c and -65\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*c + 3 = -6, 0 = -5*d - 2*c - 8. Let f = 171 + -171.07. What is the nearest to -0.1 in d, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4157690 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -y + 2*r - 12, -3*y - 3*r = -12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:04 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2\/2 - 4*b + 10. Let t be 7 - (3 + 8\/(-4)). What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) -1\/4 (c) 0.7 (d) -4439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 14*o = 0. Solve -2*w + o = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11396770 - -10?\nAnswer: -11396760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*r - 8. Suppose 2*l - l = r. Suppose -4*c = -l*n, -n + 3 = 4*c - 3. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 211023663?\nAnswer: -211023666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30730 is divided by 1059?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66277, 66255, 66233, 66211?\n\"Answer: -22*p + 66299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -10\/3. Which is the closest to -3? (a) 1\/2 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2243 + 2228. Let f = 3.3 + -3. What is the biggest value in 0.5, 5, f, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 13*h = 9240. What is the common denominator of 6570\/h - (-1)\/4 and 39\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + -2)*4)**2 + (2 + sqrt(2))*2 - ((((2*sqrt(216) - sqrt(216)) + sqrt(216))\/sqrt(12) - sqrt(18)) + 0)**2) + -5.\nAnswer: -62*sqrt(2) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 1651 + -2 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165532 is divided by 55143.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354007977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19326.18 + -19326. Which is the fourth biggest value? (a) -4 (b) m (c) -0.42 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95160 divided by -60\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:28 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -22990?\nAnswer: 22990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314276 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 29968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**(1\/15))**(-1)*(g*g**(-1\/4)*g*g)**(-2\/97)\/((g**(2\/3)*g)\/g**(-1\/3)) assuming g is positive.\nAnswer: g**(-6373\/2910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z. What is x(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -12. Is (-1385)\/(-5) + (-5 - b) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 26. Let a(i) = -i**3 + 12*i**2 + 1. Let u be a(12). Let c be 310\/5 - (u + 1). What is the greatest common divisor of q and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1280 and 768?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 15*w - 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 1. Let l be 93\/21 + o\/(-35). Differentiate 2*z + l*z + 1 - 3*z wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41444.95 centuries in decades?\nAnswer: 414449.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 greater than 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758 is divided by 935?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 2661*r\/4 - 665.\nAnswer: -(r - 2660)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -72 + 66 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 + 599691*v**3 - 29968208316*v**2 - 89926814100*v + 839160210000 = 0. Calculate v.\nAnswer: -7, 4, 99950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 - 6*v - 8. Let f be n(-2). Let s = f + -27. What is the remainder when 5 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -1.1. Let m = -0.4 - q. Which is the third biggest value? (a) m (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -18*x**7\/35 - 427*x**4\/24 + 205*x**2. Find the second derivative of g(w) wrt w.\nAnswer: -1296*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 3*sqrt(245)*2 + 5.\nAnswer: 5 + 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 448*q - 3166. Calculate s(7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -1 - (3207 + -3223).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 3*z. Let r be w(3). Let n = 11 + r. Calculate the remainder when 21 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 12 - 10 + 37. Let q be 0 + (0 - (-2)\/2). Solve q = -x + g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1326\/(-10) + (-4)\/10. Let t = 74 - 109. Let m = t - y. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 - 22.7. Let a = v - -18. Which is smaller: a or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*r + 300, -3*a = 3*r - 5*a - 183. What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 25*w = -5*t + 1626, -4*w = 3*t - 950. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(35)\/sqrt(7)) + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -3, -80 in ascending order.\nAnswer: -80, -3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337332850 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17351404 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 3, o: 3}. What is prob of sequence dd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.34854 days in weeks?\nAnswer: 7.62122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 0, 1 in descending order.\nAnswer: 97, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 610834*q\/13 - 2443368\/13.\nAnswer: 2*(q - 305421)*(q + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5243747?\nAnswer: 5\/5243747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p - 46*p = -273916. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 17) + 0 - -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 5*r - 6. Let u(l) = 2*l**2 - 4*l + 7. Let d(v) = -3*u(v) - 4*y(v). Let f(x) = -x**2 - 4*x + 1. Give 2*d(g) - 5*f(g).\nAnswer: g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/(-10) - (-7)\/35. Suppose 0 = -5*b - 3*l + 29, -3*l - 2*l = -5*b + j. Suppose d + 0*d = 18. Calculate the lowest common multiple of d and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 39*j - j**3 + 548 - 257 - 38*j**2 - 280. Determine g(-39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 3. Let i(u) = -2*u - 4. Let g(w) = 2*i(w) - 3*z(w). Let j be g(-2). Put 0.1, j, 5 in decreasing order.\nAnswer: 5, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 151 + 35. Suppose -4*n + b*v = -244, 15*v - 238 = -4*n + 13*v. Calculate the remainder when n is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**5 + 2*z**3 - 2*z**3)*(45 + 19 - 6)*(-1 - 2 + 0).\nAnswer: 522*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*w - 4123 - 1109 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 - -0.4139692683014.\nAnswer: -185.5860307316986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h - 50. Let b be 30\/h + (-54)\/(-15). Suppose 2*q + k = -q + 2, -3*q + 2*k - 4 = 0. Solve q = b*m - 9 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, t: 7, a: 2}. Give prob of sequence ctct.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(sqrt(80)*1)**2 - -6*(3*sqrt(80) + -5)**2.\nAnswer: -720*sqrt(5) + 4231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -65. Let u = r + -52.82. Let p = 7.52 + u. Round p to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5106, 5100, 5094, 5088?\n\"Answer: -6*v + 5112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198970*v**4 - 110763 wrt v.\nAnswer: 795880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*q + 35*j - 42*j - 201, -291 = -7*q + 5*j for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-28)*-2 + 1682\/(-2030).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 16 = 0. Suppose 0*v + v - 72 = 0. Calculate the greatest common divisor of v and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39831656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*a + 176. Suppose -3*n + 114 = 3*m, m + 3*n - a + 8 = 0. Calculate the highest common divisor of m and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = m - 5*h, m - 4*h + 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*t = 3*v - 2, -v + 13 = 5*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 16 + 23 = -2*i, -3*i = 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3*sqrt(68) - (4 + (-1*sqrt(17) - sqrt(17))))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113330 + 269925. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9467 + 20712 - 9427 - 513*b**4 + 2*b wrt b.\nAnswer: -2052*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21941 or -21940?\nAnswer: -21941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006692372259 rounded to five dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -84 + 51 - 5*o**2 + 36. Let z(n) = 3*n**2. Determine g(z(m)).\nAnswer: -45*m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*4*12\/(-24). Let r(k) = 9*k**3 + 19 + 21 - 40 + t*k**2. Let y(g) = 5*g**3 + g**2. What is 3*r(b) - 5*y(b)?\nAnswer: 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9849 and 0.1?\nAnswer: 0.29849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -243*s + 4. What is the units digit of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*r + 59 + 9 = 0, -4*z - 3*r = -68. Let f = z - 17. Suppose -5*p + 52 = 4*k, 4*p + f*k - 19 = 22. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-6))\/((-2)\/(-6)). Suppose 0*x - 460 = -5*x. Suppose -3*d - x = -s*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -996706*b**6 + 41*b**3 - 169501948*b**2.\nAnswer: -119604720*b**3 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.221 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -63, -80, -95, -108, -119, -128?\n\"Answer: b**2 - 22*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -5, 5, 30, 1, -2 in descending order.\nAnswer: 30, 5, 1, -2, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**3 + 0*k**4 + 0*k**2 - 20*k + 0 - 19\/20*k**5. Find the second derivative of i(u) wrt u.\nAnswer: -114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 36 - 3*g)*(-2*g - 30 + 30) - 2*g**2 - 1 + 1.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:00 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**3 + 80*a**2 - 50*a + 100. What is p(11)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/(-225))\/((-6)\/(-189))*216\/126?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6\/2)\/6)\/((-13)\/(-18512)) a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.06 (c) -4144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2597900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165653*p**2 - 335072*p**2 + 167274*p**2.\nAnswer: -2145*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 259137 != 259136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3 - 1*(-4)\/6)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Which is greater: r or 2\/57?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r + 0*r**2 - r**4 + 2*r**3 - 5*r**2 - 5*r - 5*r to o*r**4 + t + v*r**3 + a*r + x*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540486, 540491, 540502, 540519, 540542?\nAnswer: 540571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {f: 1, b: 1, h: 1, y: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 + -5.8. What is the closest to z in 3, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.11 + -1.89. Let p = 1.2 - -0.8. What is the closest to -2\/5 in 4, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + (-369)\/(-2457) - (-4 + -1) and -9\/56.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + a + 6 = 20, 58 = 4*b + 3*a. Suppose 2 = 3*f - b. Let s = 8\/77 + 2\/11. Is s at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/4 - 231*z**3\/2 + 23643*z**2\/4 - 112728*z + 714432 = 0. Calculate z.\nAnswer: 16, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 775466537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 58669?\nAnswer: 62\/58669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + l = -1138, 3*h - 6*h - 4*l + 669 = 0. Suppose 0 = -h*q + 225*q + 18. Solve 0*y - q = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3729 - 3734. Sort -1\/2, -0.99, y in descending order.\nAnswer: -1\/2, -0.99, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.287855 + 46.2879. Let c = 11 + -12. Let p = c + f. Round p to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5111091.2000044 + -5111090. Let c = h + -1.2. Round c to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**3\/3 + 7*i**2\/2 - 5*i - 3. Calculate the remainder when z(-9) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1083 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 3495175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2790.\nAnswer: -1\/2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1145 + -1136. Sort l, 4, 118, -0.4 in decreasing order.\nAnswer: 118, l, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Let t(v) = -v**3 + 6*v**2 - 7*v. Let b be t(4). Let x be b + (-3 - -3) - 1. What is the second biggest value in x, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -260*m - 4955 - 5445 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 606, 608, 620, 648, 698?\n\"Answer: i**3 - i**2 - 2*i + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18124540 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5100 or -1707?\nAnswer: -5100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348023691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2377?\nAnswer: -2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/3, 2\/1307?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 51, 65, 67, 51, 11, -59, -165?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 8 (c) 2 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -20*(-5 + 37\/(-4)). Let x(r) = -r - o + 285. Let n(h) = 5*h**2. Give x(n(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*m - 12*m - 61*m + ((3 - 2 + 1)*(-3 + 3 + 1) - 4 + 4 - 3)*(5*m + 3*m - 4*m).\nAnswer: -100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 != 4025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 36, 4, -52, -138?\n\"Answer: -f**3 - 3*f**2 + 2*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (17 + -10 + (0 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 15784596?\nAnswer: 31569192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5220 and 1800.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -40*i - 45. Give l(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934255?\nAnswer: 3, 5, 199, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 24 = -3*n, -8*u = 4*n - 3*u - 32. Let r(i) = i**3 - 5*i**2 + 3*i - 7. Let q be r(5). Solve -3*s + q*s = -h + 13, -s = 2*h - n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.173 + 0.973. Which is the nearest to -0.1? (a) -0.1 (b) l (c) -0.02 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914285 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5\/8))\/((l**3*l*l)\/l) assuming l is positive.\nAnswer: l**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m - 3. Let d be y(3). Suppose -2*o = -2, 2*u - d = -5*o + 3*o. Suppose 0*f - f = -10. Calculate the lowest common multiple of f and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 2*b - b + (-3*b - 8*b + 3*b)*(1 + 1 + 0)*(11 - 1 - 6) to u*b + y and give u.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.23?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 35*b = -16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3844639 divided by -1\nAnswer: -3844639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 456 divided by -152\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 + 13 = 0. Suppose -3*p - 211 = c*y, 4*p + 158 = 4*y - 166. Let f = -24 - p. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68 + -67 - (-6)\/(-4). Let x = -9.06 + 9. What is the closest to x in -3, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0374683 and -9.\nAnswer: -0.3372147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111010110 (base 2) to base 14\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-17 - (-16 + -9)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*(-3 - -3). Suppose a*g - 2*g = 1247020. Let w = -373510 - g. Round w to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35803.90019 + -35802. Let w = 1.9 - s. What is w rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + l**2 + l**2 + 0*l**2 + 2*l**2 + 0*l**2 + (-2 - 3 + 6)*(2*l**2 - 2*l + 2*l) - l**2 + 2*l**2 - 2*l**2 - 3*l**2 + 2*l**2 - 4*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 37267.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-335749)\/(-4) + -1 + 4998\/168 + -31 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 13*c**6\/6 - c**5\/2 - 65*c**4\/12 + 5*c**3\/3 + 118*c. Factor k(j).\nAnswer: 5*j*(j - 1)*(j + 1)*(13*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(28) + 4)**2*6 - ((sqrt(700)*2)**2 + 3).\nAnswer: -2035 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10084896 by 11552.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21540660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 947810\nAnswer: 3\/947810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.795963 hours to minutes.\nAnswer: 467.75778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -14. Solve -h + 0 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 - 386 = -6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -306, -300, -292, -282?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times -0.04183?\nAnswer: 0.0058562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 2 - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -a + 5*g + 6, -20 = 2*a + 2*g for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 8*j - 15. Give n(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 63?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.85. Let w = -1.99 - -2. Let f = w - p. Which is the third biggest value? (a) -2\/9 (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41630492*v**2 - 5761560*v?\nAnswer: -83260984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (181 + 19*z**4 + 175 - 360)*(-192 + 62 - 89) in the form p + u*z**3 + g*z**2 + b*z + s*z**4 and give p.\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-2))\/((-6)\/(-104)). Suppose 0 = 5*o - d - 13. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652 (base 14) to base 8.\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -51, -83, -119, -159, -203, -251?\n\"Answer: -2*i**2 - 22*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 14. Let n(r) = -4*r**2 + 5*r + 53. Let t(p) = p**2 - p - 13. Let j(z) = 2*n(z) + 9*t(z). Let x be j(-5). Calculate v(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -2*s - 2*s, 0 = 2*k + 3*s - 9. Let p(q) = -13*q + 21. Let a(j) = 3*j - 5. Let c(t) = 9*a(t) + 2*p(t). Calculate c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 - 30*x**3 - 45*x**2 - 20*x = 0 for x.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -1\/8 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -9. Suppose -5*a - o*n = -65, -3*a - n + 40 = 3. Suppose 0 = -h - 3*h + a. Solve k - h + 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20781?\nAnswer: 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:47 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7561407*h*x**4 - 2*h*x**3 + 111*h*x**2 + 129*h*x + 3*x**3 + 4*x**2 - 4*x wrt x?\nAnswer: -181473768*h*x - 12*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 - 14*o**2 + 49*o + 99. What is the units digit of w(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3595312281 take away 88?\nAnswer: -3595312369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/309 or 125300?\nAnswer: 125300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + -2 - 4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - n**2 + 21 - 13)*(7 - 7 - 19*n).\nAnswer: 19*n**3 + 76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*1*183\/(-61).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (274\/(-8))\/((-44)\/(-176)). Suppose 0*s + 5*s - g = 1119, 0 = s + 4*g - 228. Let v = s + i. What is the remainder when v is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1318060476 divided by -219676746?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 3854.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 + 141. Let x be 5\/(-3) + 29\/v. Solve -23 = -5*s - x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - h - 22214 = 0, -2*q + h + 8885 = -0*q. What are the prime factors of q?\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242513, 485029, 727545, 970061, 1212577?\nAnswer: 1455093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s - 2. Let i be r(-2). Let w be (1 + 0 + 0)*3. Suppose 0 = -w*m - 1 + 7. Solve -i = -4*o - 5*b + b, 0 = 2*o - 4*b - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1431 - 1430. Solve -k = 2*c + 4 - 6, m = 2*k + 3*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 34*w**2 + 7*w - 4. What is the units digit of y(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*b**5 - 4*b**4*z + 4*b**3*z - b**3 - 26270*b**2*z + b**2 wrt b.\nAnswer: -2640*b**2 - 96*b*z + 24*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 30*a**2 + 178*a + 31. Does 24 divide z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5902 and 2702662?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -453?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108\/(-6)*(-76)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 17 + 4. What is the second derivative of -5*j**5 - j**5 + 2*j + q*j wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/84*(-21)\/6. Which is the third biggest value? (a) 3 (b) -3\/5 (c) 3\/4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) 1 (c) 4 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**4 - 468*h**3 - 13444*h**2 + 14868*h + 27848 = 0.\nAnswer: -59, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46846 or -93693\/2?\nAnswer: -46846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -626 - -638. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 19, -111 in decreasing order.\nAnswer: 19, 5, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*396\/6776*(-5)\/((-5)\/(-2)).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*v + 1175 = -55*v. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -383 - -388. Suppose 0*u = -n*u + t + 255, 3*u + 4*t = 176. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74027057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:42 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*v + 1, 10 - 38 = -4*j + 4*v. Suppose -15 = 8*r - j*r. Put r, 76, 4 in decreasing order.\nAnswer: 76, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 4 = -4*o + o - v, 8 = -o - p*v. Suppose 4*u + 65 = 17*u. Sort o, 1, 7, u.\nAnswer: o, 1, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6787549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -4, -3\/4, -38, -2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-1 + 5 + 7 + 167 - 16).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7351 + 8239. What is the highest common factor of z and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -16 (c) -3 (d) 2\/11 (e) 1\/7 (f) -1\/9664\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 25*j**2 + 26*j + 23. What is the remainder when 214 is divided by s(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594168 is divided by 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (-10 - -13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1372 and 405524?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 38, 39, 40, 41?\n\"Answer: z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 1*-6)*(-4 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -1 (c) -0.8 (d) 0 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 - 237879*g - 237863*g + 475754*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1312 + 47*t - 1315 - 1308 + 5247 - 1312.\nAnswer: 47*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -23*m**2 - 23*m - 3. Let c(s) = -8*s**2 - 8*s - 1. Let z be 4\/6*12*-1. Let v = 14 + z. Determine v*f(q) - 17*c(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/(-98) - (-152)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(sqrt(1700) + 0 + sqrt(1700)) - (1 + -1*sqrt(1700)))**2 + -5 + -1*(-1 + sqrt(1700))**2) + 4.\nAnswer: -320*sqrt(17) + 163184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:48 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34961758 to the nearest integer?\nAnswer: 5913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)\/((-2)\/3). Suppose 4*c + 3*m - 21 = 0, -3*c - 2*m + 15 + 2 = 0. Let q = c - 4. Solve -q = -o - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**4 - 9*y**4 - 72*y**2 + 98*y**2 + 265*y**2 - 21*y**3 wrt y?\nAnswer: -120*y - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**3\/5 - 51*d**2 + 519*d\/5 - 114\/5.\nAnswer: 3*(d - 19)*(d - 2)*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436755022 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = 2*n - 5, -3*o = 5*n - 16. Let l = -3 - -23. Suppose -3*a + 10 + 28 = 5*c, 3*c - a - l = 0. Calculate the remainder when o is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719833.\nAnswer: 71, 24223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 26 = 4*a. Let y = a + 82. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 3. Suppose 7 + 8 = 3*j. Let g = 0 + j. Let a be c(g). Solve 0 = a*y - 4*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642447 is divided by 711.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/13, 10\/7, 3 in decreasing order.\nAnswer: 3, 10\/7, 0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 13, -111, -2\/23?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -105. Find the second derivative of -47*n**3 - 2*n - o + 1 + 6 wrt n.\nAnswer: -282*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 - 5424*j**4 - 16290*j**3 - 16296*j**2 - 5433*j = 0. Calculate j.\nAnswer: -1, 0, 1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7993 is divided by 2654.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396033 and 32307.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 59993.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -98364 divided by -7026\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75*w**3 + w + 48?\nAnswer: -225*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -2\/3, 45, 707?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:31 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssjjsssjsjsssssssj. What is prob of sequence sj?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 - 2*d**2 - d + 5. Let z(c) = 18*c**3 + 6*c**2 + 2*c - 16. Let v(x) = -7*l(x) - 2*z(x). Let m = 5 - 2. What is v(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 122?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 13 (b) 2\/11 (c) 144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201213774 to the power of 1\/2, to the nearest integer?\nAnswer: 64817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 14. Let m = s - -3. Let j = m - 5. Put -0.3, -2\/5, j in decreasing order.\nAnswer: j, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1532049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/12 - (-4)\/(-6). Suppose a = -8*r + 3*r + 15. Suppose -2*b + 4*k + 13 = -45, -r*b + 96 = -3*k. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 49 - 83)*(23 + 7 + 34)*(-6 + 2 + 3)*(j**3 + 2*j**2 - 2*j**2).\nAnswer: -2368*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 177148 divided by -44287?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601950 is divided by 2593.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -439 + 425. Which is greater: y or -25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r. Let z(g) = 2*g - 6. Let i(f) = l(f) + z(f). Let o(h) = 2*h + 13. Let y(d) = 2*d**2 - 6*d - 7. Let a be y(5). Give a*i(c) + 6*o(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 380*y**2 + 62664*y - 197568.\nAnswer: 4*(y + 168)*(95*y - 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480 - 457 - (-14 + 31).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 119. Let n = q + 286\/5. Factor -2\/5*l**2 + 0 - n*l - 1\/5*l**3.\nAnswer: -l*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264\/7 - -38. Let y(z) = 3*z + 6. Let m be y(-7). Let k be (-5)\/m - 2\/6. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 19 - (2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.792063 decades to millennia.\nAnswer: 0.04792063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40346958473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-136))\/(14\/42*15)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 963?\nAnswer: -5\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*f**2 - 4*f**4 - 3*f**4 + 5*f**4 + f + f + 3*f**4 to the form s*f**4 + r*f + t*f**3 + v*f**2 + i and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.3. Suppose -6 = 9*l - 3*l. What is the nearest to r in 0.2, l, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/24 + r**3\/6 + r**2 + 2*r. Let o(l) be the first derivative of u(l). Let i be o(1). Solve 2*m + 3*m - 25 = i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 127*j**3 - 6*j**2 + 2*j + 1. Let u(v) = v**3 - 4*v**2 + v. What is 2*u(o) - z(o)?\nAnswer: -125*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 36*v**2 - 72. Calculate d(-36).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3203, 3202, 3201, 3200?\n\"Answer: -s + 3204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210350399 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -143. Calculate the greatest common factor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.095 + 0.147. Let z = -0.048 - k. What is the nearest to 0 in z, -11, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1302480 and 2077?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 5*i**4\/2 + 10*i**3\/3 + 6. What is the third derivative of n(t) wrt t?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 572850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 1. Let w be y(1). Let o be ((-35)\/15 - -6) + w\/3. What is the second derivative of -13*b + 13*b - 4*b**o - 6*b**4 + 8*b wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4)\/(c\/(c*(c\/(c*c**(2\/21))*c*c)\/c)))\/((c\/((c*c**(1\/5)*c*c)\/c)*c*c)\/(c\/(c**4*c)*c)))**20)**(-17) assuming c is positive.\nAnswer: c**(49232\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 + n**2 - 8*n**3 + 7*n**3 + 0*n**4 to the form u*n**2 + y*n**4 + b + v*n**3 + l*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwzwqwzwqwwpwpwqpw. Give prob of sequence zz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (2 + 2\/(-1)). Suppose -15 = -i*a, 4*m - 5*a + 12 = -a. Let u be 14\/4*m - -1. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 13) in base 15?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 154236*a + 5241712.\nAnswer: 2*(a + 34)*(a + 77084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446866909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (45 - (-82 - -51))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + 102367*z + 409450. Calculate g(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2475683 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 7404 in descending order.\nAnswer: 7404, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/45 + (-1)\/5. Let w be 0 - ((-22)\/(-12) + 14\/(-42)). What is the second biggest value in w, -4, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 67 + 6*a**3 + a**3 - 6*a**3 - 2*a**3. Let q(p) = 0*p**2 - 3*p**2 + 4*p**2. Calculate q(u(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 9*a**2 - 3*a + 3. Give g(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10120 - 1207*p**2 + 3264*p**2 - 1452*p**2 + 2769*p**2 + 3565*p**2 wrt p.\nAnswer: 13878*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545477 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 617340*((-6)\/51 + (-15264)\/306). What is s rounded to the nearest 100000?\nAnswer: -30900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-4)\/((-16)\/(-12)). Put j, -3, 0.3 in increasing order.\nAnswer: -3, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (13 + -10 + -13 + (1 - -6))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = 42*r + 9*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 6*j**2 - 8*j + 1. Let o be b(4). Suppose -3*u + 5*u = -3*a - 600, 0 = -u + a - 295. Let w be 70\/385 - o\/u*-43. Are w and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/40 + w**5\/30 - w**4\/2 - 8*w**3\/3 - 34*w**2. Let f(v) be the first derivative of s(v). List the prime factors of f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.1 (c) -5 (d) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, s: 15}. What is prob of sequence ksk?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113106579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71487084 to the power of 1\/2, to the nearest integer?\nAnswer: 8455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11038317 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 393518 and 82?\nAnswer: 393518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)*(161 - 167)*(-3 - 21\/(-2)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 4\/39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -614 + 2705. What are the prime factors of r?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 722554\/(-84840) - 43\/(-5)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*r**3 - 51699*k**2 + k*r - 26307*r**3 wrt r?\nAnswer: -6*k**2*r - 157842*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1365 = -53*q + 68*q. What is the remainder when q is divided by 54?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*h + 8, -4*h = 3*b - 7*h + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppeeccceeccccee. Give prob of sequence ce.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -28a9?\nAnswer: 28a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*d - 1922 - 4315 = 0 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 8*a**2 - 11*a - 10. Let p be 1\/3 - 56\/6. Let i be t(p). Solve i = 2*k - 7*d + 3*d, 5*k = -4*d - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 145296*x**2 - 1319287668*x - 2639156552.\nAnswer: -4*(x - 18163)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {a: 11, f: 2, t: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.13 + 44.53. Is c greater than 0.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1061877 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2. Let h(w) be the second derivative of 8\/3*w**4 + 0 + 0*w**3 - 20*w + 0*w**2. Give p(h(c)).\nAnswer: 1024*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*l = -3211 + 4856 - 4501 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c + 30 = 0. Let w = -12 + c. Let h = w + 16. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 - 462*p**2 + 8*p - 123.\nAnswer: -6*p - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubommgbbbom. What is prob of picking 1 o and 2 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 126330\/13901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 25, 36, 51, 70?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*q + 6 + 0 - 6)*(-q + 9*q**2 + q) to the form v*q**2 + c*q**3 + b*q + d and give c.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4032.81 - -4032. Let j = 2.38 - 1.67. Let t = j + s. Which is smaller: 0.08 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50815 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:02 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wffffwwfwwwfw.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88.9 + 133. Let l = m + -44. Suppose 9*r + 4*r = 0. What is the closest to -6 in r, l, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**4 + 8*i**4 + 2*i**3 + 1 - 15*i**4 + 2*i**2 + 4*i**3 to the form x + a*i**4 + u*i**3 + t*i + y*i**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4 = -f + 5*f, -5*g = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -970*q - 3 - 15 + 995*q. Let g(x) be the first derivative of 6*x**2 - 9*x + 2. Let l(f) = -7*g(f) + 3*s(f). What is the derivative of l(i) wrt i?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59.5 + -57. Let z = o - 1.5. Let h = 1.84 + -2.34. What is the closest to z in h, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*v - 28, -3*f - v = 4*v - 2. What is the remainder when (f\/8)\/(12\/(-48)) + 20 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**6\/6 - 53*y**5\/2 + 3080*y**4\/3 + 15680*y**3 - 570*y. Factor f(j).\nAnswer: 5*j*(j - 56)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 3 + 27 = 0. Suppose -g + 12000 = 2*n - w*g, 4*g = 3*n - 18000. What is n rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -11\/60*c**5 + 0*c + 0*c**3 - 26*c**2 - 11\/60*c**6 + 0 + 0*c**4. Find the third derivative of j(p) wrt p.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - q - q)*(-194 + 194 - 2*q)*(-9*q + 3*q**2 + 9*q) in the form d + b*q**4 + y*q + k*q**2 + m*q**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 953221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -331554351 divided by 619?\nAnswer: -535629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -210557 + b?\nAnswer: -210549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495443 is divided by 602?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*f*i*j + f*j**2 + 11550*f*j - 4*i*j**2 + 2*i - 763*j**2 + 4*j + 3 with respect to f.\nAnswer: 21*i*j + j**2 + 11550*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 0*m**2 + 3*m**2)*(5*m - 3*m + 0*m) + (0*m + m + 0*m + 2*m + 4*m - 5*m + (0 - 2 + 4)*(-m - 4*m + 6*m) - 4*m + 4*m - m)*(m**2 + m**2 - 3*m**2).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2*i + 296 = 0. What is the third derivative of -36*o**3 + i*o**2 - 66*o**2 - 1 + 1 wrt o?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 461586124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -253. Suppose -2*b + 3592 = 5*h + 3473, 0 = b + 5*h - 82. What is the remainder when j is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -495 + 494.81. What is l rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 1. Determine a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*f = -18091, -s + 4296 + 225 = 3*f. What are the prime factors of s?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 2, l: 4, h: 1}. What is prob of sequence lcl?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - p + 5 = 0, 72*p + 265 = 5*m - 120 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/(-336))\/(-13)*(-8)\/10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2130.3\nAnswer: -2130.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -277 + -3?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 divided by 1?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110597310?\nAnswer: 2, 3, 5, 241, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -46, 3, 4.\nAnswer: -46, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*u + 1, 2*y + 3 = 3*u - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 48 = -5*x. Let w = 14 - x. Suppose 5*t - 8 - 2 = 0, 5*j + 2*t - 29 = 0. Solve -3*b = -2*r + 13 - 4, -w = -j*r + 2*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 1. Let i(k) = 3*k + 5. Let y(g) = i(g) + 4*p(g). Let a(t) = 3*t - 4. Let l(q) = 2*a(q) + 7*y(q). Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 37. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 31*l - 2. What is t(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/44*17*(-3)\/(-18)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.25 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -16 - (-4 - -2)) + -7 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851 is divided by 90\/(-150)*(-7)\/((-126)\/(-510)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 247*n - 2361. What is x(-237)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**3\/3 - v. Suppose -13 - 23 = -3*n. Let y(u) = 12*u - 2*u**2 - n*u. Give y(a(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11115 and 6.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8686 = -2*p, 0*g + 4*g + 4*p = 17372. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5102051030 - 10?\nAnswer: 5102051020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.66 - -1.86. Which is the nearest to f? (a) 1 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/45*5 - 8) + 1140\/560.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/(y\/y**(-7)))**47\/((((y*y**(-2\/9))\/y)\/(((y\/y**(-1\/7))\/y)\/y))\/((y*y**(-3\/2))\/(y\/y**(-4)))) assuming y is positive.\nAnswer: y**(-59993\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 22*l**2 + 19*l**3 - 17*l**2 - 13*l**2 - 2 + 50*l**2. Is h(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(0 + 0 + 38). Let x = z + -8. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1177*t + 2420. Calculate the remainder when 504 is divided by j(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -25*q**2 + 5*q + 12. Let g be z(-7). Let i = g - -6248. What is i rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:43 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.44 + 0.4. Let w = -0.08 - u. Let v = -0.0357 - w. Round v to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 27*b**2 + 12*b + 25. Let k be f(-14). Suppose 889 = 18*g - k. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-8 - 26) - 9 - 102.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/5040 + c**6\/360 + c**5\/60 - 23*c**4\/12 + 13*c. Let r(y) be the third derivative of p(y). Factor r(n).\nAnswer: (n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:21 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8458603 (base 9) in base 14?\nAnswer: 85ba26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 7:48 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -7327849*l**5\/5 - 483648862*l**4\/5 - 1688479340*l**3 - 15019908872*l**2\/5 - 22180352*l\/5 - 8192\/5 = 0. What is l?\nAnswer: -32, -2, -2\/2707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-2\/105)\/o)*o\/((o*o**(-20))\/o) assuming o is positive.\nAnswer: o**(2417\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 35 - (-18 - -9) - -22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 + 1 - 48*j**4 + 10*j**4 - 10*j**4 - 7 + j - 87*j**4 in the form u*j**3 + h*j**4 + f*j**2 + x*j + l and give h.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:10 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by (-75)\/4*(-968)\/363?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474982*d*w**3 - 914*d - 115*w**2 wrt w.\nAnswer: -2849892*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 9. Let g(q) = 2*q + 10. Let m be g(0). Suppose 4*w = -m*w. Suppose w = -4*x + 5*p - p + 12, -2*p + 14 = 2*x. Calculate v(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 19*r + 12. What is the units digit of m(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4028)\/3762*(-6)\/(-4) and (-1)\/18 - (1 + -1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 31*f = -20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:15 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/33*-3 - 30\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**3\/3 - 45*o**2\/2 - 144*o - 29. Differentiate m(n) wrt n.\nAnswer: -2*n - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 - 101414.565715\nAnswer: -101274.565715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1897676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13200 + 2222?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4 and 0.12.\nAnswer: 0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.2 bigger than 0.3485493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 10*g + 6. What is the tens digit of i(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -186. Let k = x + 335. Suppose -5*w = -1073 + k. What is the greatest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3488 - -3489.477. Let v = -0.087 + h. What is v rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35800, 35806, 35826, 35866, 35932, 36030?\nAnswer: 36166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1482771758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*7*2\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12767.173 + 12767. Let n = 258.383 - 259.8. Let j = n + w. What is j rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276b28 (base 12) in base 3?\nAnswer: 1020021012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**8\/6720 - b**5\/30 + b**4\/3 + 3*b. Let n(q) be the third derivative of z(q). What is the first derivative of n(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -29)*(-14 + 17)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4315 - 14458?\nAnswer: -10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.04353\nAnswer: 0.021765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35216\/91 - 387. Are -1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*o - 365, 5*b - 12*o - 900 = -7*o. Let u = 311 - b. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251862143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*b - 66*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71, -60, -61, -80, -123, -196, -305, -456?\n\"Answer: -t**3 + 18*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8*(-32)\/(-28). Let d(y) = y**2 - 12*y + 4. Let g be d(12). Let z = 2 - 2.4. What is the nearest to x in -2\/9, z, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506453251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*g - 15*g - 32*g)*(2 - 4 + 1).\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + 3*x + 4*x)*(x + 0*x - 4*x).\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - u. Suppose 1 = -w - v, 3*w - 3 - 2 = v. Let l(r) = -2*r**2 - 5*r + 1. What is w*l(x) - 5*j(x)?\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-2106)*81\/18?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1562 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638998 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a08 (base 12) in base 10?\nAnswer: -8360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 26*u. Suppose 0*h - 30*h + 2610 = u. Is h smaller than 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/5 - 1656*w**2 - 546398*w\/5 - 211932 = 0. Calculate w.\nAnswer: -63, -2, 4205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10*4)\/((-208)\/(-520)). Let y(n) = -47*n - 29. Let x(f) = -31*f - 19. Let p(s) = 8*x(s) - 5*y(s). What is the units digit of p(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7668959 (base 10) in base 2?\nAnswer: 11101010000010011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43)\/86 + 861*957\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610031719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1631 + 35865\/22. Let q = x - -14\/11. Factor 1\/2*f + 0 - q*f**2.\nAnswer: -f*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(0 - 2*q + 0) - 2*q - q + 0*q + 3*q + 4*q - 4*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -163*l + 4. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 3*x**5\/5 - 3*x**4\/4 + 184. Factor p(v).\nAnswer: 3*v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(20) - (sqrt(7) + sqrt(7)*-3 + 1).\nAnswer: -1 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + -1247213770?\nAnswer: -1247213770.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)*(-6)\/(-2). Let r = 194\/105 + -12\/7. Let i = -218 - -1309\/6. What is the third smallest value in q, i, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 1.1. Suppose 2*l + l = -6, 15 = g - 5*l. Suppose -3*w - 4 = g. Which is the biggest value? (a) h (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:30 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3 - -9a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 + 24*t - 27. Calculate the remainder when 121 is divided by h(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2627.02 + -2627. Let d = -0.4 - -0.3. Let l = d + 0.6. What is the smallest value in -6\/7, x, l?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*t**2 - 2\/7*t**3 - 25250\/7*t - 375000\/7.\nAnswer: -2*(t - 125)**2*(t + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*m + 6 = -220*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*g = 0, 0 = k - 3*g - g + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:58 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Let l(d) be the third derivative of d**5\/6 + 11*d**4\/24 + 11*d**3\/6 + 24*d**2 + 26*d. Calculate -22*g(w) - 2*l(w).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32821*d**2 + 6092 + 55*d**2 - 6093.\nAnswer: -32766*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + -71. Suppose 5*k + v = 5*r, k + 1 = -5*r + 8. Let y be (-18)\/k*(-2)\/(-4). Solve 5*l + y = -7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*h - 14 = 0, -3*g + h - 8 = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m - 110. Let f be k(-10). Suppose f = -4*y + 8*y - 1832. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, n: 7, x: 4, j: 2, s: 4}. What is prob of picking 1 n and 1 m?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 34*q**2\/7 + 144*q\/7.\nAnswer: 2*q*(q + 8)*(q + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/12 - a**4\/4 + a**3 + 3*a**2. Let z(v) = v**2 + v - 1. Let m(d) = -n(d) - 6*z(d). Let t(x) = -12*x. What is t(m(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44803752, 44803753, 44803754, 44803755, 44803756?\n\"Answer: y + 44803751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -721*q + 719*q + s, 4*s = -3*q - 0*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211\/10 - 107\/5. Let y(o) = -o**2 + 130*o - 2199. Let h be y(110). Which is the biggest value? (a) f (b) -0.2 (c) -1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((0 - -4) + -3). Let s(a) = -7*a**2 - 14*a - 10. Let b(p) = 11*p**2 + 21*p + 15. Let x(n) = 5*b(n) + 8*s(n). Determine x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(38)\/sqrt(2) - (1 + ((sqrt(76)\/sqrt(4) + sqrt(19))**2 - sqrt(19))) - -5*((4*(-1*sqrt(228) - sqrt(228)))\/sqrt(12))**2.\nAnswer: 2*sqrt(19) + 6003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.52 - 1.22. Put -0.4, -7\/6, v, -3\/7 in ascending order.\nAnswer: -7\/6, -3\/7, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57881 in -2663, -1, -2?\nAnswer: -2663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 88 = f - 3, 2*f - 94 = 4*n. Let y(p) = p**2 + 4*p - 1. Let t be y(4). Let l = n + t. What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -337, -1151, -2741, -5365, -9281?\nAnswer: -14747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -134822 <= -135134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 26. Let x be 4*r*2453\/(-22). Let j = x + -262. What is the highest common divisor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -516*h**4 - h**3 - 4*h**2 + 64900*h - 4 wrt h.\nAnswer: -6192*h**2 - 6*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -74*p - 3283. Let h be k(-28). Is -8478\/7 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0807 + -23981.5917.\nAnswer: -23981.6724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -4) + 3 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*k - 241. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m + 2 + 16*m - 111*m.\nAnswer: -138*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 3, x: 1, z: 1, i: 5, r: 4}. What is prob of picking 1 y, 1 q, and 1 r?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -41*d - 5. Let g(z) = 83*z + 12. Calculate 14*a(t) + 6*g(t).\nAnswer: -76*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 - (-6129)\/(126\/14) is divided by 192.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + -1.84. Let h(q) = -2*q - 4. Let z be h(0). What is the third biggest value in z, s, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-1)\/33). Calculate the greatest common factor of w and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*z + 9 + 4 - 24 + 11 + z**2 to u + p*z + x*z**2 and give p.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 4 + 0 + 0*t - 2*t**2. Let b = -23 + 27. Let d(a) be the second derivative of -a**4\/6 + 2*a**3\/3 + 5*a**2\/2 - 7*a. Give b*d(g) - 5*y(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 353174001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 807.89421 and -2.\nAnswer: 805.89421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38484262.\nAnswer: 2, 107, 179833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1815*g**3 + 1845*g**3 - 7387*g**3 + 1927*g**3 + 1839*g**3.\nAnswer: 39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8541792700 to the nearest 1000000.\nAnswer: -8542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*s**2 - 55*s**2 - 58*s**2 - 50*s**2 - 56*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(147) + (-1 + sqrt(147))**2 - sqrt(147)) + sqrt(6)\/sqrt(2) + -4 + sqrt(21)\/(sqrt(7) + sqrt(14)\/(sqrt(8)\/sqrt(4))).\nAnswer: -25*sqrt(3)\/2 + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3604498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:05 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730901, 730878, 730855, 730832, 730809?\nAnswer: 730786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4176, -8439, -12702?\n\"Answer: -4263*n + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 + 7*m + 2. Let a be f(-2). Solve 0*v = 2*v + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1587041721 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 332. Suppose -4*z + 385 = 5*u, -5*u - 60 = 3*z - b. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/((-3)\/(-8)). Suppose 4*w - 12 = -5*t + t, x*w + 3*t = 8. Let d = w + 13. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389 + 393 - (-1 - (-1 + 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 28 - 7*w + 4*w - 80.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 950*m**2 + 2. Let v(z) = -z**2. Calculate h(v(t)).\nAnswer: 950*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.528448 to 2 dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 420*k**2 + 352908*k\/5 + 697424\/5.\nAnswer: (k + 2)*(k + 182)*(k + 1916)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 627 - 1101. Let p = -338 - s. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100112 - -211?\nAnswer: -1022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4324.054 meters?\nAnswer: 4324054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03361602285 to five decimal places.\nAnswer: -0.03362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/7 - 495*v\/7 - 216 = 0. What is v?\nAnswer: -3, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.5, 0.062, -40?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/20 + 3076*z**2. Let k(x) = -5*x**2 - 2. Let a(s) = 25*s**2 + 11. Let b(v) = -2*a(v) - 11*k(v). Determine b(p(n)).\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 8. Let t be (-1 - (-52)\/8)*2*-1. Let z be b(t). Let u = 58 - z. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -389, -649, -769, -749, -589, -289?\n\"Answer: 70*p**2 - 470*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 - 55*d**2 + 20*d**2 + (-d - 6 + 6)*(-8 + 8 - 4*d).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64986 divided by -1798?\nAnswer: 32493\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*1)*1 - sqrt(130))\/(-3*sqrt(30)\/sqrt(3)) - (-5 + (-3 + sqrt(208))*2).\nAnswer: -25*sqrt(13)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c**2. Let p(v) = -v**2 + 15*v. Calculate m(p(j)).\nAnswer: 15*j**4 - 450*j**3 + 3375*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 - -223. Let i = 5 + -2. Put 4, i, s in descending order.\nAnswer: s, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 7*k**2 + k + 1. Let t(r) = -5*r + 2. Let y be t(-1). List the prime factors of q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/57379820 and -75\/11475964?\nAnswer: 57379820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5)*((-120)\/(-36) + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)*(-1)\/3. Suppose -3*y + 3 = 3*z, 5*z = -3*y - y + 7. Let q = 471 + -470.9. Which is the nearest to q? (a) y (b) 3\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) 0.03 (d) 0.2 (e) -0.9 (f) -449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 73.977. Let z = 0.067 - v. What is the second biggest value in 1\/4, 0.5, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:00 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 4)*6\/((-72)\/3). Solve g = 4*w - 3 + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 508, 1689, 2868, 4045, 5220, 6393, 7564?\n\"Answer: -j**2 + 1184*j - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a + 1. Suppose 0 = 2*r - 2*c + 4, 2*r - c + 6 = -3*r. Let t(f) = -f**3 - 4*f**2 + 4*f + 8. Give r*t(p) + 4*y(p).\nAnswer: p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/17, 10\/7, 7, 0.4, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*k + 18, 4*q + 10 = k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -226712440 divided by 28339055?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.39 + 0.11. What is the second smallest value in m, -1\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6536\/266 - (-36)\/14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 10:34 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287514344?\nAnswer: 2, 13, 2764561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 - -0.59?\nAnswer: -274.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1977, -3942, -5893, -7830, -9753?\n\"Answer: 7*h**2 - 1986*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 - 18312*j**2 - 5823832*j + 11720928 = 0. What is j?\nAnswer: -8826, -332, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 37320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(960) - -2*sqrt(960))*5)\/(-2*(sqrt(147)*2 + sqrt(147)) - sqrt(147)))**2.\nAnswer: 1200*sqrt(5)\/49 + 132025\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1125, -5\/3, 1.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197315013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76 - (3 - (-10 - -21)). Let o = 42 + -21. Calculate the highest common divisor of n and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36013.34ml to litres.\nAnswer: 36.01334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*g**4 - b**2*g**2 + 41*b**2*g + 4*b*g - 26*g**3 wrt g.\nAnswer: 24*b**2*g**2 - 2*b**2 - 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -40*i**5 + 108250*i**4 - 72156155*i**3 - 1470540385*i**2 + 1977665295*i + 585197235 = 0.\nAnswer: -21, -1\/4, 3\/2, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92386\/19 + -4864. Let r = 405\/76 + v. Which is the third smallest value? (a) 0.2 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.07 + -0.07. Suppose 3*l = -3 - 0. Put 2\/7, h, l in decreasing order.\nAnswer: h, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/4 - 1810347*m - 3277356260409 = 0 for m.\nAnswer: -3620694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 3*f - 18.\nAnswer: 3*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 863000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10929)\/(-33) + (-8)\/44. Suppose -1514 = -5*u + q. Suppose -11*r + 2*r + u = 0. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 6456*d + 12900.\nAnswer: 3*(d - 2150)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c**3 + 4*c**2 + 19*c + 12. Let t be x(-6). Suppose 0*p = -p + s + t, -4*p + 5*s + 8807 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*o**3 - 112*o**3 - 1713*o + 60*o**3 to the form b*o + z + j*o**3 + k*o**2 and give b.\nAnswer: -1713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 + 177. Solve 20 = -2*z - m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/4)\/((-12)\/(-24)). Let o = 11 + j. Suppose 0 = o*l + 5*d - 52, l + 50 = 4*l + d. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 106. Determine k(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 <= 4716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 15*d**2 - 3*d - 8. Let u be (-3)\/2*(-60)\/(-6). Let b be o(u). Calculate the highest common factor of 37 and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3104301 - -2232?\nAnswer: -3102014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/2 + 267*l + 1593\/2 = 0. What is l?\nAnswer: -531, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.36 + 1.6209068?\nAnswer: 665.9809068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 679760 and 679760 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*w + 10584 - 39123. Suppose 38*r + 221 = w. Calculate the highest common factor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 7\/395, -2, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -27. Let m = -16 + y. What is the remainder when (498\/(-12))\/((-2)\/4) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9436\/13 - 60\/(-390).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(3)*-1)\/(sqrt(72)*2).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20122220122200221?\nAnswer: 20122220122201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1148 - 649. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7686 and 3264842?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58026 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fry. What is prob of picking 2 r and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 24 = -3*k. Let d = -18863 - -18864. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/((-170)\/60) - (-3 - -11). Sort -7, 14, m in descending order.\nAnswer: 14, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13060, -13064, -13080, -13114, -13172, -13260, -13384?\nAnswer: -13550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-128) - 1810\/(-16). Let g = -85 + l. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*i - 6*i. Let d be (i\/7)\/3 + 1660\/70. Solve -5*q - j = -25, 0*q - d = -q - 4*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**4 - 2*g**3 - 6*g**2 - 2*g - 7. Let q(x) = 6*x**4 + x**3 + 6*x**2 + x + 6. Let s(k) = 6*q(k) + 5*r(k). Find b such that s(b) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-4) - -3)\/1. Let r be (-16 - -20) + (o - 15). Let h(k) = k**3 + 10*k**2 - 4*k + 11. What is the units digit of h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 552?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Let x = i - 0. Suppose x*g - 2*f = 3*f + 695, 139 = g + 2*f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44164 - 26831. Suppose d = 20*n - 10347. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 2. Let y = 467 - 477. Let x be (-9)\/4 + (-328)\/(-32) + y. What is m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1. Let j(x) = -x - 1. Let m(o) = -7*o - 2. Let f(v) = 6*j(v) - m(v). What is 2*a(t) - f(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 135383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76113187*c**3 + 1856*c**2 + 161*c - 14 wrt c?\nAnswer: -456679122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -2258?\nAnswer: 230\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keazkzycc. Give prob of sequence ck.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*k + p, 3*k - 11 + 1 = -4*p. Let d = -4 + k. Solve -y - 5 = -d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 18}. Give prob of sequence yy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/(-10) + (-2)\/10. Let f = y + 2. Which is the biggest value? (a) 1\/8 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17766*v - 12*v**3 - 5919*v - 5922*v + 14*v**3 - 5923*v.\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/4620 - 2*u**6\/495 - u**5\/132 + 29*u**4\/8 - 72*u**2. Let p(y) be the second derivative of f(y). Solve p(z) = 0.\nAnswer: -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 4, -2, -1\/7, -2\/31 in decreasing order.\nAnswer: 4, -2\/31, -1\/7, -2, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x - 6. Let a(f) = f**3 + f + 4. Let v be a(0). Suppose v*j = -3*n + 8, -5*j - 4*n = -n - 13. Let h be o(j). Solve 0 = -3*d + h + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/21 - 18\/(-63) - 0. Which is the closest to 1? (a) -1\/2 (b) -2 (c) r (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15620142 divided by -140722?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - -1.99. Let f(r) = 2*r + 14. Let m be f(-7). What is the nearest to v in 1\/5, -5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -45*n - 19*n + 1014. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-680))\/(85\/(-1700))?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 6*v**2 - 4*v + 1. Let i be x(5). Let s = i - 4. Suppose -p + 6 = s. Solve g - 4 = -3*o, 2*g = -p*o + 3 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131 - 136) + (4 + -9 - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*y = -46, 3*n - y = n + 46. Suppose -n*o + 0*o = -46. Solve -o*g - 21 = -6*g + 5*r, -3*g + 13 = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 159*o - 23. Let r(p) = -321*p + 51. Calculate -9*n(t) - 4*r(t).\nAnswer: -147*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-2) - 3)*0. Let y be 5\/(5 + 4\/(-2) - 2). Let k be y\/(20\/(-4)) - -4. Solve b = 4*g - 3*r + 29, -k*r = 4*g - 0*r + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2622 divided by 57\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**3 - v**2 + 1. Let f be o(1). Suppose 70 = f*c + 4*d - d, 4*c + 2*d = 58. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 74. Let r = 7 - v. Suppose -553 = -4*a - 5*w, 4*a + 4*w - 67 - 485 = 0. Calculate the remainder when a is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -33, 0.59, 2\/3 in ascending order.\nAnswer: -33, 0.01, 0.59, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/31038311 and 57\/113198546.\nAnswer: 1924375282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -658037 - -986974. Suppose c - 105737 = 6*y. Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3895084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1421192 + 1421837.6629. Let u = 646.1929066 - c. Let n = 0.53 - u. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 13*s + 4*s)*(-s + s + 2*s**3) + s**4 + 3*s**4 - s**4.\nAnswer: 39*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 8*y + 9. Let h be x(10). Let k be (-60)\/8*8\/(-10). Let q = k - h. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -97*f. Let g(c) = -c**2. Calculate g(m(h)).\nAnswer: -9409*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423922 by 5.\nAnswer: -423922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035120800 rounded to the nearest 1000000?\nAnswer: 1035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2. Let o(d) = -3. Determine -5*a(w) + 4*o(w).\nAnswer: -5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.54 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105446.\nAnswer: 2, 11, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:09 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12672719*i**5 - 5339918*i wrt i.\nAnswer: 253454380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771716193?\nAnswer: 3, 1723, 149297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8387382 and -0.06.\nAnswer: -503242.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10000001011000 (base 2) to base 12\nAnswer: -4960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1292152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001 + 111100101?\nAnswer: 1001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 42. Let a be f(-14). Let j(w) be the second derivative of 0*w**3 + 1\/6*w**4 + 0 - w + a*w**2. Let y(k) = 6*k**2. What is y(j(t))?\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 163*i**6\/2 - 3*i**4\/4 + 1151*i**2 + 3632. Find the second derivative of k(p) wrt p.\nAnswer: 9780*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, s: 1, k: 6, t: 5, w: 2}. Give prob of sequence ltw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4102006 nanograms to grams.\nAnswer: 0.0000000004102006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r**3 + r**2 - 5*r + 5. Let x(b) = 10*b**3 - 2*b + 2. Let w be (-246)\/78 - 3*-1 - 134\/(-26). Give w*x(z) - 2*j(z).\nAnswer: 10*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*x + 112, -223 = 3*h - x + 85. Let o = h - -113. What is the lowest common multiple of o and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -80. Is 2376 + (-5 - (c - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7145884.751 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(13 - 6*m - 13) + (0*m + 2*m - 3*m)*(5*m + 2*m + 2*m).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 - 425*u**4 + 830*u**3 + 689220*u**2 - 14129640*u - 14817600 = 0. Calculate u.\nAnswer: -40, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -40. Let j be (4\/(-2))\/((-18)\/27). Let w = j - -22. Solve -3*d = -p*v - 2*d + w, -d = v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence reez when four letters picked without replacement from rgzrfrzyzzzezzerzzzr.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let h(m) = -2*m**2 - 4*m - 1. Let o be -3 - (0 + -1)\/(-1). Determine o*g(q) - h(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/13 + 308*x**2\/13 - 1582*x\/13 + 1272\/13 = 0.\nAnswer: -159, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 2, l: 1}. What is prob of picking 1 x and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 6*5\/20. What is the closest to -1 in -4, u, 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -6. Suppose 31 = 2*x - b. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q + 20. Suppose 4*i = 3 + q. Let k(c) = 2*c**2 + 12*c - 29. Let t be k(2). Solve 7 + i = -t*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 - i - 1. Let a(z) = -2*z**3 - 2. Let h(j) = -a(j) - 3*t(j). Let p be h(4). Let g be -1 - ((-4)\/p)\/1. Sort -2, 0, g in decreasing order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012756554 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 896 - 706. Calculate the remainder when o is divided by 84.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let t = 9 + -5. Suppose -5 = -t*j + n + 5, y*n + 16 = 3*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22119 divided by 303.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*s**4 - s**2 - s**3 + 20*s**3 - 2*s**3 + 48*s**4 + 21*s**3 to h*s**2 + o*s**3 + n*s**4 + q + d*s and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-18 - -19) - (0 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**4 - 2*v**3 + 1. Let j(b) = 3*b**4 - 9*b**3 + 4. Let i(n) = -18*c(n) + 4*j(n). What is the derivative of i(x) wrt x?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Let a(x) = -x**2 + x + 2. Let n be a(f). Find k such that 6*k - 2 - k**2 + 5*k**n - 6*k**3 - 3*k**2 + 4*k**4 - 3*k**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3 - 11 - 3 - 3*p. Let h(y) be the first derivative of 2*y**3\/3 + y**2\/2 - 3. Let l be h(-2). Let i(x) = x + 6. Give l*r(a) + 17*i(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0799586046 and 8.\nAnswer: 8.0799586046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049065481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34184.872 rounded to the nearest ten?\nAnswer: 34180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69506 times -3.4?\nAnswer: -236320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10 - 4. Suppose -5*z + v + 8 = 0. Let k = 97 - 95. Solve -2*d = 4*o + 7 - 1, k*o - 1 = z*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72, -299, -682, -1221, -1916?\n\"Answer: -78*o**2 + 7*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 29*y**2 + 139*y + 305. Let k be j(-33). Solve 64*m = 27*m + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 147948 or 295893\/2?\nAnswer: 147948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/363)\/(-1 + 10\/6).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(833) + -3) + 6*((3 + sqrt(833))*-4)**2.\nAnswer: 3997*sqrt(17) + 80849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282555 and 363285.\nAnswer: 2542995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + r + 6. Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 12. Calculate the remainder when 19 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(1\/4))**34*g**(3\/7)\/(g*g**(-7)))**29)**(-3\/2) assuming g is positive.\nAnswer: g**(-38889\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 786*y**2. Let k(l) = 1156*l - 1. What is k(u(w))?\nAnswer: 908616*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 435.226*-5\nAnswer: -2176.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 4*w. Let j = w + 2. Let o be 12 - 3 - -1*1. Calculate the highest common divisor of o and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 4. Suppose 0 = -3*m - 3*w + 9, -3*m - m + 26 = -3*w. Let u(z) be the second derivative of -z**3\/3 - 5*z**2\/2 + 2*z. Determine m*k(v) + 4*u(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1712 times -582468?\nAnswer: 99718.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let n(l) be the first derivative of -2*l**3 + 2*l + 11. Calculate n(d(g)).\nAnswer: -6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3053? (a) -0.2 (b) -2\/5 (c) 1.4 (d) 7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, z: 1, l: 2}. What is prob of picking 2 f?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 18. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2592 and -71\/21384.\nAnswer: 85536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 5*a. Let x(h) = h + 1. Let u be x(a). Put 2, -5, u in ascending order.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94423 is divided by 277?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 6:51 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.12, -4\/5, 66?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)*-5 + -5)*6.\nAnswer: -30*sqrt(5) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 8*a**2 - 3435*a**3 - 20*a**2.\nAnswer: -3435*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 56. Suppose -a = 2*w - 2, -4*w + u = a + 4*a. Calculate the lowest common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:58 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*h - 24. Let l be h\/((-27)\/(-6))*(-1 + -2). What is the derivative of -26*n**2 + 43*n**2 + 5 - 16*n**4 - 17*n**l wrt n?\nAnswer: -64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 5. Let n(g) = 2*g + 14. Let d(l) = 5*n(l) - 14*s(l). Suppose -j = -8*j + 14. Let y(o) = 23*o + j - 2 - 19*o. What is y(d(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 364. Let j(y) = -6*y - 819. Let o(m) = 9*h(m) + 4*j(m). Let v(i) = -332*i**2. Determine v(o(c)).\nAnswer: -2988*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuaunnwna. What is prob of picking 2 a and 1 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 307*w**7\/105 + 13*w**5\/30 - 613*w**2. What is the third derivative of x(s) wrt s?\nAnswer: 14736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(128) + sqrt(128)*-2 + sqrt(128))**2 - sqrt(128)) + 3) + 2 + -5*(sqrt(200) - (sqrt(200) - (sqrt(200)*-1 - sqrt(200)))))*-2.\nAnswer: -152*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*f + 3*l, -3*f + 15 - 4 = 2*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/4046868 and -103\/3636.\nAnswer: 4046868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -35 - (-5 - -18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28513 = -51*m + 45896. List the prime factors of m.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*v = 4*v + 162, -51 = 2*y - 5*v. Let n be y\/(-12) + (-3)\/4. Let c(i) = 39 - n*i**2 + 7*i + 0*i**2 + i**2 - 32. Determine c(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from {g: 5, r: 3, q: 3, o: 1, u: 8}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 30*c - 2 - 12*c + 4*c**2 - 1 + 0*c. Is z(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*32929813.\nAnswer: -29636831.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126846 = -19*l + 262*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-388*d - 317*d + 631*d - d + 3*d - 4*d + (0*d + d + 0*d)*(-2 + 1 + 0))*(-2 + d + 2) to z*d**2 + a + g*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 889 = -85*l - 3341 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-1)*(t*(t*t**(-2\/5)\/t*t)\/t*t)\/t*t*t\/(t*t**3)*t\/t**5 assuming t is positive.\nAnswer: t**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852244 is divided by 234?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -19.95. Let z = t - 0.05. Is -5\/7 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 + -174.4. Let w = o + 171.5. Let m = 0.1 + -0.5. Which is the second biggest value? (a) -39 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.5 - 42.3. Let f be 1\/3 + 25*2\/30. Which is the biggest value? (a) f (b) -4\/7 (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - -48. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 4. Let w = -14 + 14. What is t(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/2 - 2*t**3\/3 - 2*t**2 + 31. Factor l(u).\nAnswer: 2*u*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 61*m + 419. What is t(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*w**2 + 40*w**2 - 81*w**3 - 31*w**2 wrt w.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 60 - 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 19 = 4*y + 141, 3*y + o = -113. Let a be ((-130)\/y)\/(4\/6). Let l(n) = n**3 - 5*n**2 + 7. Let p be l(a). Solve p = -h + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 287857*g**2 + 426*g + 264?\nAnswer: 575714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4752 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/4 - 70*c. Let j(h) = 11*h. Let k(n) = -6*n. Let w(l) = 3*j(l) + 5*k(l). Calculate p(w(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 100101001001?\nAnswer: -100100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 438*m - 7 - 23 - 806*m to the form u*m + g and give u.\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 132653.19 months?\nAnswer: 11054.4325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {d: 1, h: 3, z: 5, n: 3, u: 1, c: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*d - 7*d = -65, 3*v - d - 40 = 0. Suppose -z = 18*r - v*r - 188, 4*z + 4*r = 784. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-1*-3 + (sqrt(75) + -1)*-6)**2 + -3)*5.\nAnswer: -900*sqrt(3) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4448.\nAnswer: 13344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = -5*k + 6*k. Let i be k\/14 - (93\/(-21) - -4). Differentiate -5*t + 27*t + 87 - 40 - i with respect to t.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 242.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9 - 19 + 3*n + 5. Let v(i) = 7*i - 11. Determine 13*l(g) - 6*v(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 3. Suppose 5*l = v - 27, -3*v - 5*l + 6*l = -11. Give n(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*b + 6, 5 = -f + b + 3. Let n = 2546 - 2533. Solve -c + 3 = -l + n, f = -5*l + c + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 1 + 6 + 5 + 8.\nAnswer: z + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*d + 105014*d**2 + 72*d.\nAnswer: 105014*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.079 + 0.079. What is the second biggest value in c, -2\/21, 2, -1\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241468?\nAnswer: 2, 17, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 75\/15000*120*(-20)\/174 - (-23)\/(-928)\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5 - 56*q**4 + 180*q**3 + 576*q**2 - 3888*q + 5184 = 0?\nAnswer: -4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 39*g**2 - 7*g + 2293*g**3 - 2297*g**3 - 2*g.\nAnswer: -4*g**3 - 39*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let t(h) = 56*h + 31. Let p(x) = -256*x - 129. Let r(n) = -2*p(n) - 9*t(n). Determine -r(b) + 5*v(b).\nAnswer: -3*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20\/h)**34 assuming h is positive.\nAnswer: h**646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979 - 1012 = -11*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a factor of 382008603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-233)\/((-123723)\/118) + (-58)\/(-26)*3\/(-27)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30464 and 3566906?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40099571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136 and 338.71.\nAnswer: -46064.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568540021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*s + 13 = 0, -5*s = -7*a + 3*a + 25. Solve 4 = -a*h - 5*c + 24, -3*c - 4 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 59*l - 618 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2439240 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/60 + 3\/(-1)*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + 4*z)*(-199*z + 401*z - 202*z + 744*z**2).\nAnswer: 1488*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 + 189. Calculate the greatest common divisor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28636757 is divided by 192193.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48991, -47584, -46177, -44770, -43363?\nAnswer: -41956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*w + 5505 - 1837 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((68\/(-16))\/(-17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 51*o**2 - 2*o + 44. Let w(y) = y**3 + 50*y**2 + y - 43. Let u(n) = -4*a(n) - 5*w(n). What is the second derivative of u(d) wrt d?\nAnswer: -6*d - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.423, 0, 603\/4, 5 in ascending order.\nAnswer: -7.423, 0, 5, 603\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -178*c**2 + 46*c - 3. Let q(l) = -532*l**2 + 127*l - 8. Give -3*q(m) + 8*s(m).\nAnswer: 172*m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/8 + 11*v**2\/8 - 3*v - 9\/2 = 0 for v.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 806976 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 2*n + 1. Let g be u(-2). Let t(a) = -a**2 + a + 3. Let f be t(0). Let r = -2011 + 2009. Put r, f, g in descending order.\nAnswer: f, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -33, -89, -167, -267, -389, -533?\n\"Answer: -11*x**2 - x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1284*b**5 + 23*b**4*c - 3*b**2 + 4160*b*c wrt b.\nAnswer: -77040*b**2 + 552*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 4, r: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from ymympyympyyplmpypyl?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7917 by 3.\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*t + 7, -3*t + t + 2*f = 2. Let s(m) = -m**2 + 4*m - 2. Let l be s(t). Let z(y) = -6*y**l + 2 - 14*y**3 + 15*y**3 + 2. Calculate z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 111, 5, 3, -5.\nAnswer: -5, -3, 3, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 10 - (-6 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 5. Let j = i - 2. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a**2 + 12*a**2 - 6*a**4 + (-2*a + a + 2*a)*(2*a**3 - 2*a + 2*a))*(203*a - 771 + 381 + 390) + 2*a**5 - 2*a**5 + 2*a**5.\nAnswer: -810*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 2*u - u)*(19*u + 3*u - u)*(-20*u**2 - 46 + 46) to the form r*u**3 + y*u**2 + f + a*u**4 + z*u and give a.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 26, -33.\nAnswer: -38, -33, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 623178 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 8 + 8 + -1 + -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 - 19860*n**3 - 178539*n**2 - 277662*n = 0.\nAnswer: -6611, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 5, v: 3, k: 7, a: 2}. Give prob of picking 1 k and 1 x.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 6, -13, -48, -105, -190, -309?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:23 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5874, -5873, -5872, -5871, -5870, -5869?\nAnswer: -5868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**3 - 3*m**3 + 4*m**3)*(-9 - 3 - 2) as y + s*m**2 + b*m + h*m**3 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdddwddddddddddwddw. Give prob of picking 1 d and 1 w.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-680)\/(-8) - ((-152)\/28 + (-8)\/14). Suppose 0 = r - s + 90, -r - 2*r - s - 254 = 0. Let g = j + r. Put g, -1, 3\/8 in ascending order.\nAnswer: -1, 3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -26.75, -4\/9.\nAnswer: -26.75, -4\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1997 + 47*j**2 + 1997 + (-2*j**2 - 5*j**2 - 6*j**2)*(6 - 2 - 3) as d*j**2 + x*j + r and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-7 - -4)*1. Suppose g - 3*v = 85, -4*v = a*g - 0*v - 150. Let r = g - 36. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**17)\/m**(-15) assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(8\/3))**1 assuming k is positive.\nAnswer: k**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 48 = -4*k. Let h = 6 + k. What is the units digit of (2\/h)\/((-7)\/693)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*a + 255 = 0, 4*c + a - 3*a = -234. Let l = -13 - c. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.66, 1.239, -277.\nAnswer: -277, -0.66, 1.239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/135 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*k - 1 = -1177*k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - (5 + 3))) + (209 - 228)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39504040 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 259 and 278 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*g**2 + 26\/5*g + 2\/5*g**3 - 12\/5.\nAnswer: 2*(g - 6)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030042839 to seven dps.\nAnswer: 0.0030043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((4 - 13) + 3) - (16 + -7)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(3\/9*3). Suppose -4*n + 4 = -y*n. Solve -3 = -n*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/167 + -823\/1002. Put 2\/3, 2\/9, v in descending order.\nAnswer: 2\/3, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w, 3*p + 635 = 5*p - w. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 78\/(-12))*-2. Let i(m) = m - 1. Let j be i(1). Solve 3*c + 5*x + 2 = -v, -4*c + 3*x + 32 = j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by -68?\nAnswer: 171\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1 - 6. Suppose 0 = -g*x + x + 222. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/24 and -91\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 3, g: 2, e: 4, n: 7}. What is prob of picking 1 h and 1 g?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 6. Suppose -2*d + 3*r - 17 = 0, -8*d + r = -3*d + 23. Let i be z(d). Solve 9 = 3*b + 4*j, -2*b - 3*j + i = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13640603 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -16*l - 3*l**2 - l - 6 + 4*l + 0. Let r(k) = k**2 + 7*k + 3. Let c(j) = -4*a(j) - 7*r(j). List the prime factors of c(3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619299205 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 35, 5 in decreasing order.\nAnswer: 35, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:17 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5733336 by 12.\nAnswer: -477778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -166509 (base 12) to base 6\nAnswer: -12123213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76.3 + 76. Suppose 6*c - c = 0. What is the closest to c in -2\/7, b, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, 56, 87, 152, 263, 432, 671?\n\"Answer: 2*y**3 - y**2 - 2*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 646 and 3315.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 3, 31.\nAnswer: -60, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58004 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 + 0.578.\nAnswer: -46.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57351*f**2 - 114698*f**2 + 57339*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1735211 + -1?\nAnswer: -1735212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3833234 is divided by 151.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*r = -3, -21 = -2*q - 5*r - 30. Factor 0*a**q - 4*a**3 + 26*a**2 - 36*a - 2*a**2 + 123 - 107.\nAnswer: -4*(a - 4)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 12. Suppose -l*d + 13*d - 41 = 0. Let w = d - 23. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(8\/(-5))*36\/9. Suppose 2*w = -3*w, -f = -w - 3. Let l(u) = 14*u - 32. Let s be l(3). Solve 0*r + 3*x = 3*r + 18, f*r + s = -d*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 9*z + 4. Let x be m(0). Solve 2*j - 19 = -w + 6*j, 0 = 4*w + x*j + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + u - u + (2*u - 2*u + u)*(u + 2*u - 4*u) + 61*u + 10153*u**2 - 20287*u**2 + 10177*u**2 as c*u**2 + q + h*u and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28729 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 139 = 143. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -30743?\nAnswer: -30737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-8)\/(-4)))\/((-9126)\/4056)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2751*a*r + 5594*a - 5268*r**3 + 433 wrt r?\nAnswer: 2751*a - 15804*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304*p**2*v**2 + 49*p*v**2 - 5*p*v + 2*v**2 wrt p.\nAnswer: -608*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (0 + 12\/4))\/3. Suppose d = -24*l + 27*l - 63. What is the remainder when 56 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 901 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 22*l - 7*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338 - -311.5. What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**4 - f. Let w = 283 + -277. Let i(r) = -28*r**4 - 13*r**2 + 3*r - 1. Let g(t) = w*o(t) + 2*i(t). Find the third derivative of g(l) wrt l.\nAnswer: -1200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-4))\/8*(2\/9)\/((-148)\/(-3774))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-34))\/(218\/14824).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 + 5*q + 1. Let c(w) = 2*w. Let g be c(-1). Calculate the remainder when i(4) is divided by (-3)\/(g - -5) - -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*g**3\/7 - 18*g**2 + 204*g\/7 - 72\/7.\nAnswer: -3*(g + 6)*(3*g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1010, -1009, -1008, -1007?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -82, -289, -638, -1129?\n\"Answer: -71*h**2 + 6*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24100797 and 69825?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 12*u**2 + 14*u + 19. Let b be c(13). Let j be 3\/(-2)*b\/12. What is the tens digit of 1\/j + (-194)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33174119833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 190*w - 13. Let a(j) = -382*j + 26. Let k(x) = -4*a(x) - 7*p(x). Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324088471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/270*l**6 + 1\/252*l**8 + 0 + 0*l - 27*l**2 - 2\/27*l**4 + 13\/945*l**7 - 1\/27*l**3 - 2\/45*l**5. Find y such that v(y) = 0.\nAnswer: -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77*s*w**3 + 233*w**3 wrt s?\nAnswer: -77*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 14) in base 13?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*q = -384*q - 402*q - 18036 for q.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l - 3*l**2 - 10 + 24*l - 12*l to t*l**2 + j + p*l and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -99\/4 and -24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3*c**2*y**2 - 3*b**3*c**2*y + 8*b**3*c*y**2 + 3*b**2*c**2*y - 7*b*c**2*y + c*y**2 wrt y.\nAnswer: 6*b**3*c**2 + 16*b**3*c + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660\/(-77)*2*-14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Suppose d = -x - x. Let c = x + 1. Let w(a) = a**3 - a**2 - 2. Determine w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w + 13. Suppose -w*n = -2 + 4. Let z be n\/(-2) + (-8)\/16. Solve z = 3*m - 15, 0*f - 3*f - 2*m + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:52 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187.572 - -187.072. Let q = 48.32 + 0.68. Which is the biggest value? (a) r (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 - 0.053?\nAnswer: 664.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 2, 3 in increasing order.\nAnswer: -21, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 12*u + 15. Let w be l(11). Suppose w*y = -b + 5*b - 228, b + 3*y - 53 = 0. What is the remainder when b is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhzhrrrzzhzzhzr. Give prob of sequence hrr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 120 = 4*n - 2*n, 4*n = -3*y - 265. Let u = n + 100. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/((-66)\/(-16) + -4). Suppose 0 = 3*i - 12 - 0, -2*i + 40 = 4*a. Let o be a\/12*j\/(-4). Are o and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5\/75)\/1*385\/44.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from {g: 2, i: 1, v: 3, z: 3, o: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91251, -180070, -268889, -357708?\n\"Answer: -88819*w - 2432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 4*q - 1. Let a be r(-4). Let n be 186\/(-45) + 4\/1. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 4*x)*(-2 - x + 3*x + 0).\nAnswer: -6*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2. Let n(r) = -r**3 - 7*r**2 - 3*r - 19. Let o be n(-7). Suppose 0 = -o*u + 5 - 9. What is j(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - 43d?\nAnswer: -41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 4. Suppose -33 - 35 = -4*h. Let b(d) = -8*d + 11. Let z(o) = h*w(o) - 6*b(o). Differentiate z(c) with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48078629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433657009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*(-32)\/((-40)\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1737*j - 1079453 + 1079453.\nAnswer: 1737*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 2:54 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(175) - sqrt(175))**2 + sqrt(175) + sqrt(175) + 5*(-1 + sqrt(175) - sqrt(175)) + 4 + 2 + 3 + (sqrt(175) - (-1*sqrt(175))**2) + 4.\nAnswer: 15*sqrt(7) + 4208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -53, -58, -63?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + (-6 - -1) + -20 + 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*q + 14, -j - 4*q = -6243 + 6242 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 212*1.6\nAnswer: 339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*j + 4 + 7, 4*f = -5*j + 31. Suppose f - 5 = -i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/30 - o**2. Let g(k) be the first derivative of -k**2\/2 + 2. Calculate g(h(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221743 (base 8) in base 6?\nAnswer: -40024243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 648*t + 648*t + t**2.\nAnswer: t**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 125*u - 132. Calculate m(8).\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1 = -4*b. Let i be -6*1\/(-2)*b. Suppose 4*m = w + i*w + 36, m - 14 = 2*w. Solve -14 + 39 = 5*x - 5*l, 0 = -m*x - 2*l + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i**2 + 2*i + 3. Let c be s(3). Suppose 0 = -5*y + 254 + 1026. Let r = y - c. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.586221 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 23*i - 70. Let j = 29 - 10. Let m = j + i. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -7*c**4\/9 + 58*c**3\/9 - 20*c**2 + 462*c. Factor v(x).\nAnswer: -4*(x - 2)*(7*x - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (5 - (4 - -13)) - (-7 + -26).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = 88*w. Let p be (30\/8)\/(1\/4). Suppose 10 = 5*x - p. Solve 0 = -x*z - w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -16\/9*c**2 + 4\/3*c**3 - 4\/3*c**5 + 0*c + 14\/9*c**4 + 2\/9 = 0.\nAnswer: -1, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 429998000 to the nearest 1000000.\nAnswer: 430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/8 (b) 5 (c) -1\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1030279*-2\nAnswer: -2060558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 3*j**2 - 8*j**2 - 7 - 25.\nAnswer: -2*j**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045148 to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*((-1932)\/391)\/21\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, b: 1, i: 4, r: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/62 and 49\/125612.\nAnswer: 125612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(132)\/sqrt(3)*3 + 2*-3*(-1 + sqrt(44)).\nAnswer: 6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 2640402966.\nAnswer: 2640402966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -4, -1.19, 1, 2\/17, -0.21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 4:46 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -8. Is (-6)\/(-4) + 460\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411645448*x**3 + 3*x**2 - 23897*x - 2736?\nAnswer: 2469872688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 79, 117, 173, 253, 363?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -393*h + 110. Let g(f) = -97*f + 27. Calculate 2*a(s) - 9*g(s).\nAnswer: 87*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-15))\/(-4))\/(-3*3\/(-27)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(468))\/sqrt(4).\nAnswer: -3 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 26. Let y = 51 - 29. Let a = y + l. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2543.148*18\nAnswer: -45776.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) -0.1 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -70. Find the second derivative of -7*b + 13*b**4 + 3*b**4 + 6*b**i wrt b.\nAnswer: 264*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 2. Let u(v) = v - 1. Let p(f) = -r(f) - 6*u(f). Let o be p(6). Suppose 7*d - 25 = o*d. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(180\/(-10)))\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -66*r + 1\/2*r**4 + 37*r**2 + 36 - 15\/2*r**3 = 0?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 73024*y - 16187159. Calculate o(-221).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 9 + 0 + -2. Solve -2*b = 2*q + 14, 0*b = -2*q + 3*b + r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064653 less than or equal to 1064620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9 and 1*(-2 - 0) + 32\/(-80).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2512651*h**3*w - 17*h**3 - 6114*h**2 - 1 wrt w?\nAnswer: -2512651*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3109 + 3085. What is the closest to v in -1\/3, 0, -2\/19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 53. Let r = -24 + t. Factor 5*s + 7*s**3 - 10*s**2 + 0*s - 11*s**r + 9*s**3.\nAnswer: 5*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 14 + 3 + 276*v**2 + (2 + 0 - 1)*(-3 + 3 + 12*v**2) in the form x*v**2 + c*v + s and give x.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-18)*2\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3350 and 600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 + 0 = 0, -5*s = 4*r - 563. Let l = -108 + s. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -681, -1518, -2687, -4188?\nAnswer: -6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -34*s. Suppose 0 = 5*i + 102 + 113. Let t be -4 - (2 + i + 1). Let z(n) = -t*n - 38*n + 73*n. Determine z(p(u)).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -6628?\nAnswer: 6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28557?\nAnswer: 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 131, 248, 363, 476, 587, 696, 803?\n\"Answer: -d**2 + 120*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9927917.\nAnswer: 9927917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than 5519129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41164 or 329303\/8?\nAnswer: 41164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllhlll. What is prob of sequence lllh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320051 (base 7) in base 5?\nAnswer: -101030311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 34 + 22 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -332.7 + 5\nAnswer: -327.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) -0.2 (c) -3 (d) 0.1712 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + (-1)\/(-1 - 0). Is 3 a factor of 505\/55 - (-2)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15\/2 (b) 2 (c) -3\/7 (d) 5 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 7*j**6\/30 + 9*j**2\/2 - 6*j. Differentiate h(v) wrt v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34187, 34248, 34323, 34418, 34539, 34692?\n\"Answer: q**3 + q**2 + 51*q + 34134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -967*m**7\/7 - m**6\/3 + 2326*m**3\/3 - 1067. What is the third derivative of y(a) wrt a?\nAnswer: -116040*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5708467 - 3461557 = -290*v - 2829754. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/4*0. Sort 5, -1, z in descending order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 4)*(-12)\/(-1104)*4. Suppose -19*a - 3 = -22*a. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 + 60*k**2\/7 - 58*k\/7.\nAnswer: -2*k*(k - 29)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-81)\/(-36) + 1\/(-4). Suppose -d + 3*d = r*x - 64, 142 = 5*x + 4*d. Suppose 0 = 3*g + 2*s - 31, -2*g - 4*s + x = -5*s. Which is greater: g or 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5059, 4751, 4349, 3805, 3071?\n\"Answer: -8*m**3 + m**2 - 255*m + 5321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -345\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3084099*w**3 - 1842974 wrt w?\nAnswer: 9252297*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 153 + 1439. Suppose -5*h + 16 = 2*x, -3*h + 7*h - 2 = 2*x. What is the third derivative of -643*a**3 + c*a**x + 12*a**2 - a**4 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9848 = 1734*u + 2549*u - 170038 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 + 8.2. Put -2\/15, 0.03, o in decreasing order.\nAnswer: o, 0.03, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (36 + (1 - (19 + (-14 - -5))))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, -145, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222110400 + 4?\nAnswer: 222110404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 9.2737802.\nAnswer: 8.8737802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b34 - -2746?\nAnswer: 1067a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22855 - -22858. Let r = -0.78 - -0.08. Let t = r + 0.2. Which is the closest to 1\/3? (a) t (b) s (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010798 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -u - 4*u. Let j be 2\/u + (-2)\/9. Let f = j - -3. Solve -f*h = -h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -3\/4, -0.214, 0.4, -4\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 944514841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41 (b) -3\/4 (c) -93 (d) -247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 904 + -297. Suppose l = 6*g - 53. What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(7) + -1 + 0) - (sqrt(84) + sqrt(84)*1*1)\/(sqrt(1452) + (-2*sqrt(1452) - sqrt(1452)) + sqrt(1452)).\nAnswer: -9*sqrt(7)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-33))\/(24\/44). Factor 0 + 4\/3*q - a*q**2.\nAnswer: -2*q*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2 + 3944*y + 46752 = 0.\nAnswer: -974, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -1\/12*o**4 - o**2 - 1\/2*o**3 + 0*o + 0 + 1\/60*o**5. Solve h(a) = 0 for a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = t - 62 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 80 (b) -0.06 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6119.\nAnswer: 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 + -169. Let k = 29 + -29.4. Which is the smallest value? (a) l (b) -0.02 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-20)\/16)\/((-420)\/(-1008)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 80.67. Let o = z - -0.03. Let p = 0.1 - -0.9. Which is the closest to 0.1? (a) -4 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 2)*(-o**4 + 2*o**4 + 0*o**4).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/11 + 644\/154. Let j(l) = -l**2 + 9*l - 5. Let h be j(9). Let f(i) = -i**3 - 11*i**2 - i - 11. Let s be f(-11). Sort s, y, h.\nAnswer: h, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 6, 1, 2289\/418, -0.2?\nAnswer: 2289\/418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w - 3*p + 210, -5*w + 355 = 4*p. Suppose -2*h = 3*h - 5*s - w, 2*h = -4*s. Let r = h - 12. Put r, 6, 0 in decreasing order.\nAnswer: 6, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8889.974 hours?\nAnswer: 32003906400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4\/70*14.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 2*t - 0*t, -5*t = -5. Factor -3*g**o - g - g**3 + 3*g**2 - 2*g**2.\nAnswer: -g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 38*j**2 - 839*j + 61. Determine u(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 88?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10196 = -16*m + 49671 + 20605. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 - 2*d**2 - d - 7. Let x(k) = -15*k**3 + 4*k**2 + 2*k + 15. Let p(g) = -13*m(g) - 6*x(g). What is the units digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 28*q - 24.\nAnswer: -4*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10067, -10061, -10051, -10037, -10019, -9997, -9971?\n\"Answer: 2*z**2 - 10069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 15*c + 47*c - 584 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5 + 316*c**4 + 1553*c**3 - 4716*c**2 - 1556*c + 4400 = 0.\nAnswer: -100, -22\/3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56604 is divided by 18813.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -463*x + 52*x**3 + 216*x + 2*x**2 + 240*x as l*x**3 + q*x + w + o*x**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -3*i**5\/5 + i**4\/12 - i**2\/2 - 40*i. Suppose -x + 3*x - 5 = 5*w, 4*x = 0. Calculate y(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -764664 (base 12) to base 9\nAnswer: -3465684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 28479006*c\/7 - 28479004\/7.\nAnswer: -2*(c + 1)*(c + 14239502)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -600*y**3 - 2*y**2 - 2*y - 1. Let r be s(-2). Let z(p) = 0*p + 4*p - 12794*p**2 + 3 + r*p**2. Let b be z(-3). Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d - 2. Calculate the lowest common multiple of w(-3) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1322\/57 + -8\/57. What is the common denominator of 77\/34 and q?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*1\/8)\/(161\/28 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1048*c**2 + 455*c - 1. Determine z(-1).\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:30 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*n + 5*o, o + 2 = -0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061 a factor of 1507400652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6760 by -61.\nAnswer: -6760\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovov when four letters picked without replacement from {o: 11, v: 5}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258591077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 13*j**2 - 11*j - 15. Give a(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3227, -7484, -12743, -19004, -26267?\n\"Answer: -501*u**2 - 2754*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 865746063 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -43025 smaller than -43027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 822368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/62)*o))**(-2\/105) assuming o is positive.\nAnswer: o**(-1\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsw when three letters picked without replacement from ccscwswwckkgckc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 53 + 10)*(-5 + 0 - l + 1).\nAnswer: -145*l - 580","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0*a**3 + 0 - 2*a**2 + 0*a + 0*a**4 - 1\/30*a**5. Let r(k) be the second derivative of -k**3\/2 + k. Determine d(r(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 544*g - 528*g - 75248. What are the prime factors of g?\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 3. Solve -2*r - 3*y = a, -r + 3 = -0*y + 5*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 34*t - 142491 = 527031. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 1. Suppose 0 = -2*t - 0*t + 18. List the prime factors of o(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -5)\/(-1) + (5 - 8). Sort -5, -3, 1, z in decreasing order.\nAnswer: 1, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 6*n + 8 - 5 + 5 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2809 - -3176. What is the remainder when r is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 + 159. What is the remainder when 76 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -141500.\nAnswer: -7075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 + -1 - -2. Let y = -7 - -6. What is the units digit of b\/((4 + y)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -6) + -1*59 + -16 + (-12 - -33)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 105.7. Let l = -5.89 - 0.11. Let d = l - r. What is the biggest value in d, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 5 + 2*c + 4. Suppose 5*t - 17 = -3*l, -3*l - l + 4 = 2*t. What is the remainder when x(t) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 5*l - 34610*l**2 + 34610*l**2 + 0 - 6. Calculate k(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-15) - (86\/(-4))\/((-15)\/(-2)). Solve -2*a - 4 = 0, 0 = s*v + 2*a + 3*a + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3.68. Let l = t + -0.28. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 18. Let i = q + -13.3. Let t = -8.7 + 10.7. What is the closest to -4 in -2\/13, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 305450.586 minutes?\nAnswer: 30.3026375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169369\/30 + -39513\/7. Find the common denominator of g and 47\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (1 + 1)) + -13 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3.7. Let h = -8645.6 - -8645.7. What is the closest to h in y, -32, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - 49\/54. Let u = g - -2\/27. Is u != -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 10*p**2 - 11*p + 3. Calculate the lowest common multiple of 27 and i(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b + 24. Let v(i) = -i + 2. Suppose -17*q + 0*q = -204. Let j(n) = q*v(n) - f(n). Let g(h) = -8*h**2 + 10*h**2 + 7*h - 21*h. Give j(g(x)).\nAnswer: 4*x**2 - 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 548 + -4940\/9. What is the nearest to 0.2 in -0.4, 3\/2, -2, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of (-935011)\/(-22) - 78\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185080152 divided by 61693384.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -650739*m - 3405. Let t be j(105). What is t rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*d + 231*d + 64 = 0. Calculate the remainder when 29 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4406 = 3*k + 2*t, 0 = -4*k + 30*t - 34*t + 5884. What is the smallest common multiple of 3111 and k?\nAnswer: 24888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 19 + 5 - 3 + 15 + 7*b. What are the prime factors of d(17)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.9 + -32.4. What is the third biggest value in k, 5, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 18100*f + 18095 = 0.\nAnswer: 1, 3619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v = -31*v - 2*r - 318, 0 = 4*v - 2*r - 256. Suppose 2974 = -57*c + v*c - a, 5*a - 5 = 0. Is 596 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 13*n**2 + 33*n. Calculate y(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 4058\nAnswer: 40.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.80563 bigger than 2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1761, -3517, -5287, -7077, -8893, -10741, -12627?\nAnswer: -14557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -74. Let d = -47.7 + a. What is the nearest to 1\/3 in d, 1, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:23 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -21336*t + 21334. Determine y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -76 (b) -3 (c) -261.3 (d) -2\/9 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a)**(-38)*a**7\/(a**(-2\/9)\/a))**42 assuming a is positive.\nAnswer: a**(-2156\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 23. Let o(u) = 3*u - 9. Let d(m) = -2*n(m) - 5*o(m). Let t(s) = -3*s. Determine t(d(k)).\nAnswer: 21*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, and 1 s when three letters picked without replacement from {v: 1, o: 4, s: 3, a: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/5)\/(2 + -3 + 3). Let j be (18\/10)\/(1\/5). Suppose -w*f + f = -j. Solve 0 = 4*i - 5 - f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 213*l - 11934 = 0. Solve -l*o + 504 = 72*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)\/x)**0)**(2\/9) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o - 1621 = -1796 - 3310 for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/2 + 17\/14. Let i = 4.97 + 0.03. What is the biggest value in i, -3, -4, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3562099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbybpqbbaqybb. What is prob of sequence qpa?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - sqrt(187)*3*-6) + 2*4*sqrt(187))\/(sqrt(11) + 3*sqrt(891) - sqrt(1100)*-4).\nAnswer: 27*sqrt(17)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 + 5*f - 10. Determine b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 308.\nAnswer: -5\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.248 (c) 0 (d) 2 (e) 0.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**5\/20 + 5*a**4\/16 - 47*a**3\/12 + 39*a**2\/8 + 45*a\/2 + 428. Factor p(r).\nAnswer: (r - 3)**2*(r + 1)*(r + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0, -0.065 in descending order.\nAnswer: 0.6, 0, -0.065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 582599 to the power of 1\/2, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1393487 by 8549.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Let f = b - -2. Is f at least as big as 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 42. Let c = k + -25.87. Let m = -0.1335 + c. Round m to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -11*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 3*m**2 + 4*m + 5. Let t be o(4). Suppose t*i + 16 = i, 5*w = -i - 24. Let y = 3 + w. Sort y, -2, 4 in ascending order.\nAnswer: -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.607233 centimeters in kilometers?\nAnswer: 0.00003607233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -4*i - i, 4*i - 16 = 0. Suppose 4*s + 414 = 2*f, b*f + 3*s = 470 + 325. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(1\/(12\/(-138)))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*n - 5*w, -2*n + 7*n - w = 57. Let v be (-2)\/(-1)*(-30)\/n. What is the nearest to -2 in 1\/5, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/5 - 1342*i\/5 + 11916\/5 = 0. What is i?\nAnswer: 9, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -12, 5*g + 5*d - 2787 = 2*d. Suppose 4*h = f - 260, -2*f - 4*h + 5*h + g = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o**2 + 84*o + 32. Let v be f(-9). Solve -12 + v = p + 3*g, 5*p = -2*g + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(13)*1)**2 + 3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 2*j**3 + 0*j**3)*(12*j - 2239 - 16*j + 2181).\nAnswer: 4*j**4 + 58*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.065 + 36.065. Let c = 36.21 - v. Round c to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10100001012?\nAnswer: 10100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.956842 minutes to nanoseconds.\nAnswer: 237410520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millennium in centuries?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = y - 6*y. Suppose -5*w - 20 = 0, 4*m - 5*w - 6 - 38 = 0. What is the lowest common multiple of m and 364\/y - (2 + (-80)\/45)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - z - 2. Let y(w) = 23*w**3 - 46*w - 92. Determine 230*i(u) - 5*y(u).\nAnswer: 115*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81009.93ml to litres.\nAnswer: 81.00993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1131997 (b) 3\/7 (c) 2\/21 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211 a factor of 674403746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + q - 3*q - 5*q + 2 - 2 + (-2 + 5 - 1)*(2*q - 2 + 2) + (0 + 0 - 2*q)*(0 + 2 - 1) + 3*q - 2*q - 4*q + 2 - 2 + 2*q to m + b*q and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l + 25. Let u(d) = 3*d**2 + d - 11. What is the remainder when h(5) is divided by u(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhs when three letters picked without replacement from qssqssqsqqh?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 + 4*v - 5. Let l(q) = q**2 - 2*q + 1. Let r be l(3). Calculate the remainder when n(r) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, n: 2, l: 4}. Give prob of sequence nv.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 f, and 1 w when four letters picked without replacement from fwwfwwfwfxwwffwwwwfx?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15+0.508\nAnswer: 15.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175\/23 - -1605\/46. Find the common denominator of -119\/888 and a.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -54. Let a be 0*(-2)\/(-8) - c. Suppose a*z - 88 = -2*n, n + 2*n = -z + 12. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 26 = -4*m, 7*k + 32*m - 29 = 3*k + 31*m for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 653444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/120 + 7*q**5\/20 - 11*q**4\/12 + 23*q**3\/6 + 11086*q**2 - 2*q. Determine y(-22).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, 1\/7, 2, -4, -24 in decreasing order.\nAnswer: 26, 3, 2, 1\/7, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3168 and 55\/54?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - -31)*(-2)\/6 - -6. What is the nearest to -0.8 in t, -1, 5\/2, 2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15737141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 - ((-29 - -6) + 0 + 5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 92*p**2 + 550*p - 7. Let r be a(-6). Solve 0 = 23*f + r*f - 28 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (8\/(-24) + (-112)\/6). Suppose 16*u - o*u + 2 = 0. Solve -9 = -3*w, z + u*w = -w + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1582, 52, -5 in decreasing order.\nAnswer: 52, -5, -1582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.22552, 4, -2\/29, -9?\nAnswer: -0.22552","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 16*w**2 - 29*w - 31. Let v be g(14). Which is bigger: v or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 3. Suppose 0*t = -3*t - 9. Let n(s) = s - 1. Let w be n(t). Let k(c) = c - 4. Suppose 0*f + f = -5. Give f*y(l) + w*k(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 365392463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*b**2 - 19*b**2 + 48*b**2 + 3 + 2*b**3 - 8*b in the form m + g*b**2 + u*b + f*b**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, m: 2, k: 3, w: 3, v: 2}. What is prob of sequence hv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24690, 100837, 227742, 405399, 633802?\nAnswer: 912945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0392334+-2034\nAnswer: -2034.0392334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/4)*q*q\/q**(-3)*q)**(2\/7) assuming q is positive.\nAnswer: q**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 3*p - 28. Let h be c(7). What are the prime factors of 6\/(h\/8365) + 1?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l**6 - 178*l**2 wrt l.\nAnswer: 1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 248190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17806 - 2*x + 17806.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9310561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d07573 - 5?\nAnswer: -d07578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 8*l**2 + 2*l - 7. Give w(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2584 in -5, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.29 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 12, -15 = 2*h + 2*v - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjjjjzjjfjzjjjj. What is prob of picking 3 j and 1 f?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3806496 micrometers to nanometers.\nAnswer: 380.6496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.5 (c) 0.014 (d) -2\/7 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1300 + 1003. List the prime factors of r.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 9 = z + 3*p, 0 = 5*z + 4*p - 861. Suppose -17*a - 3 = -z. Calculate the remainder when 99 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 - -0.8. Let z = -4104 - -4106. Suppose -5*f - j - 5 = 0, 4*f - 2*f + 4*j - 16 = 0. Which is the third biggest value? (a) z (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a + cb?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14569568)\/(-56) + (-6)\/(-210)*5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5863 is divided by 5662?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 6363476780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taiaatiuiaimiao. Give prob of picking 1 i and 1 a.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 2092*n + 40056. Determine l(19).\nAnswer: 2835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403298, -806600, -1209904, -1613210, -2016518?\nAnswer: -2419828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*b - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + n + 5982, 3*n - 2285 + 8275 = b. What is the highest common factor of b and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + w**3 + (w**2 + 4*w**2 - 3*w**2)*(w - 4*w + 2*w) - 81 + w + w**2 - 1524*w**3 - 1518*w**3 + 3041*w**3.\nAnswer: -2*w**3 + w**2 + w - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78581\/6 - -12782. Let y = a + 313. Calculate the common denominator of y and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 16)\/(2\/1). Let p be r - -4*(-3)\/(-6). Let m = -17.94 - -12.94. Which is the second smallest value? (a) p (b) 3 (c) 0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3836966?\nAnswer: 2, 7, 274069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4696888.\nAnswer: 2, 7, 83873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-105600)\/(-4981320) - (-38)\/(-2603)\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4\/d*d*d\/(d**4*d)*d*d*(d\/d**(-1\/3))**(1\/45) assuming d is positive.\nAnswer: d**(274\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*q - 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875 = -46640*w + 46668*w - 777 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-3 + -1)) + (-16 - 12 - -34)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*z + 26. Suppose -79 = -4*l - 3*o, 0 = -3*l - o + 63 - 5. What is the remainder when z is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 0.01, -575, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (390246\/(-12))\/((-12)\/(-34)). Let p = -95596 - g. Let a = -3458 - p. What is the common denominator of 57\/8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 303575526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12297*i = 11199*i - 77958 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**3 + 3*i - 2. Let t be c(1). Suppose l + t*l = 9*l. Let f be ((-3)\/(-6))\/(2\/12). Solve l = 4*x - j + 22, -j + f*j - 29 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268 divided by 67.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185814*u**4 - 1837*u**2 - u + 386425501 wrt u?\nAnswer: -2229768*u**2 - 3674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -26*l**2 - 1250*l - 49. Let p be y(-48). Solve p*k - 75 = 62*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24\/13, 5, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1\/3*d**3 + 3*d + 1\/4*d**4 + 1\/2*d**2 + 95. Give g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 523*i**2 - 5448*i - 159. Give l(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2194*j**2 - 7930*j**2 + 681*j - 681*j to d + s*j + m*j**2 and give m.\nAnswer: -5736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (25 - 22) + (12 - (-6 - -2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 616 - 616. Suppose c = 11*f - 98 + 43. What is the second smallest value in f, -0.03, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 489.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5441 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 1559*x**4 - 3*x**3 - x**2 + 22*x + 10078. What is the third derivative of o(k) wrt k?\nAnswer: 37416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -5431088120.8004?\nAnswer: -5431088120.5004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1437*j**3 + 4*j**2 + 2*j - 88864 wrt j?\nAnswer: 4311*j**2 + 8*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -164*z. Let y(k) = k**2. Determine n(y(j)).\nAnswer: -164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 - z - 7. Let y be i(-5). Let r be (2\/y)\/((-1)\/52). Suppose 5*o - x + 0*x = 98, -4*x = -3*o + r. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q**2 + q - 5. Let t be n(4). Let y be t\/(-435) - 2\/(-6). Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 42*a**3 - 5*a - 5*a**3.\nAnswer: 37*a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -192\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 + -130 - (-18 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2 - 4 + 17*v**2 - 1 - 5*v. Let g = 32 - 27. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-112)*-7*2\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*j**3 - 18*j**3 - 24*j**3)*(-2*j - 5*j + 4*j + (1 + 2 - 5)*(-j - j - j)) + 6*j**4 - 3*j**4 - 5*j**4 as h + u*j**2 + t*j + i*j**4 + d*j**3 and give i.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*u - w - 1547, 520 = u - 3*w. List the prime factors of u.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 906 + 683*z - 396*z - 7188 + 648*z + 440*z wrt z.\nAnswer: 1375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*m = 18, -3*j - j + 15 = m. Suppose -248 - 115 = -3*q + 5*w, -5*q = -j*w - 592. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464773.767769 + 128618.931501. Let t = -593382 + x. Let b = -10.7 + t. Round b to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637723399.\nAnswer: 637723399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/(d*d**(1\/4))*d)**(-2\/87))**(-1\/7)*(d*d**(-4\/3))\/d**(-2\/9)*(d**0)**40 assuming d is positive.\nAnswer: d**(-361\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -0.8. Sort l, -4\/11, 0.4 in decreasing order.\nAnswer: 0.4, -4\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -799918 (b) 0.4 (c) 269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*z - 3*l - 15, -3*z = 2*l - 34. Suppose -5*p + z*p = -5*o + 1265, p + 5*o = 269. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 14*z - 25. Determine m(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, 54, 264, 490, 738, 1014?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.96430058 rounded to three decimal places?\nAnswer: 24.964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 25, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 14*a + 2. Let y be m(14). Let 2*t**4 - 4 + 150*t**2 - 6*t**4 + y*t**5 + 2*t - 4*t**3 - 142*t**2 = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76812406*r**6 + 511305*r**2 - 31?\nAnswer: 9217488720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (506\/(-44) + 12)*(18\/(-4) - 1)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*b + 12*b - 62*b)*(34*b**2 - 227*b**2 - 179*b**2) in the form y + q*b + d*b**3 + l*b**2 and give d.\nAnswer: 10044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-691*q - 4953 + 4953)*(0 + 1 + 1)*(2*q**4 + 3*q - 4*q - q + (4*q**3 + q**3 - 3*q**3)*(-5*q + 5*q - 2*q)).\nAnswer: 2764*q**5 + 2764*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61\/2 of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*q = -0*q + 2, -5*q + 5 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1434 - 1161. Which is bigger: x or 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.93 - 15.9300931. Round b to six dps.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -2)\/(-4) + 2565\/540\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:07 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2 + d + 2. Suppose 0*r - 26 = s - 3*r, 0 = 4*s - r + 49. Let t(q) = -5*q**3 - 21*q**2 + 6*q + 11. What is s*x(k) + 2*t(k)?\nAnswer: k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/4 - 0 - 6332. What is w rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/((-6)\/45*6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 88 - 564. What is the highest common divisor of 136 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + 0 + (-38)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from lblbbeellslbejbxljle?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 4.8. Let h(t) = t + 28. Let z be h(-30). Which is the second biggest value? (a) z (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 942 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -u. Let i(n) = 4 + u - 5*n + 0. Let t(z) = 9*z - 9*z - 14 + 14*z. Give 8*i(d) + 3*t(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1062 - -682. Let d = -386 - o. Suppose 0 = a - 5*a - 28. Is a at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - 12373\/(-3). Suppose -2*n - 154*s = -155*s - 4780, -2389 = -n + s. Let y = t - n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 12. Let i(y) = -2*y - 25. Let b(u) = -7*a(u) + 3*i(u). Let g be b(-7). Solve o = g*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:01 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1.6, 4, -2 in ascending order.\nAnswer: -2, 0.3, 1.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 11*h - 16. Let l be y(9). Let j be (1 - 2)\/(8\/40). What is the hundreds digit of (l - 3 - j) + (-230)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*w**3 - 91*w**3 - 6*w + 2*w + w**2 - 88*w**3 + 5 + w to the form s + i*w**2 + y*w**3 + z*w and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 37*p - 1. Let j be m(-6). What is j rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*m = -5, -2*m = 2*u + 1 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from kkhkkcckhhdzkhzhcz.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2163 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305178482 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2*z + 4*z - 4*z) - 30 + 30 - 10*z + 1 - 1 - 3*z + 0*z + z - 3*z + (-3 + 7 - 3)*(-z - 2*z + 2*z) + 978*z - 304*z - 114*z.\nAnswer: 540*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16811, 69071, 156165, 278087, 434831?\n\"Answer: -n**3 + 17423*n**2 - 2*n - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 8:13 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*w - 2, 1 + 9 = 2*x + 3*w. Let v(b) = 3*b. Let n be v(-2). Let u = n + 10. Calculate the smallest common multiple of x and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6596 and -87\/10.\nAnswer: 32980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 10 = -8*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s - 7*s**2 + s**3 + 7*s + 0*s - 5. Let a be l(7). Let t be (8\/8)\/(a\/2). Which is greater: t or 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*k = 75*k - 8. Find the third derivative of -8*d**2 + k*d**2 - 2*d**2 + 0 - 14*d**5 + 4 wrt d.\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1613, 3227, 4845, 6467, 8093?\nAnswer: 9723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -12*i**2 + 1\/2*i**3 + 0*i - 1\/60*i**5 + 0 - 1\/8*i**4. Determine y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 166?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171536 and 34064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/3 + (-2)\/6. Suppose 4*b = -p - 7, -5*k + 36 = -2*b. Suppose w + 2*w = -k. Which is smaller: w or -4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 3*h**4 + 0*h**4 + (-3*h + 2*h - 4*h)*(-4*h**3 + 6*h**3 + 0*h**3) - h + 4*h**4 + h as j*h + u*h**3 + b + d*h**2 + x*h**4 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.043563 and 0.4.\nAnswer: 0.356437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 35 = y. Let v(s) = 2 + s**3 - 1 - 2*s - 2 + 7*s**2. What is the units digit of v(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) -7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/(-4 - (-36350)\/9090). Let n = b + 305. Solve 2 = -n*z - d, -5*z - 2*d = -d + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 454937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 175981019*l*t + 159*t + 927245 wrt l.\nAnswer: 175981019*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/429, 0.3, -0.5, 5 in decreasing order.\nAnswer: 7, 5, 0.3, 2\/429, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1033, 0, -2 in increasing order.\nAnswer: -8, -2, 0, 1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.70752 years in centuries?\nAnswer: 0.5870752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20853?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - -0.16472.\nAnswer: 1.26472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.9056628 hours?\nAnswer: 0.03773595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3425709879 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/5 in -3, -0.29, -45, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w + 4*o, -8 = 3*w + 4*o + 3. What is the common denominator of -2 - (-2 + (-189)\/(-60)) and (-5)\/(100\/154) - w*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(144)*2)\/sqrt(8)*-5 + 3 + -1)**2.\nAnswer: -120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/16)\/(2125\/136).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 - 5.8?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97546836 divided by 6.\nAnswer: -16257806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1376 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + -9 + (2 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(10\/3)\/(j**1)**25)\/((j**(-1\/8)*j**5)\/((j*j**(-2\/9)*j)\/(j\/(j\/j**(-3))))) assuming j is positive.\nAnswer: j**(-12169\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.04 (c) -2 (d) -32 (e) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 1 - 1)*(-107 - 557*g - 93 + 200) to l*g**2 + k + o*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnejsscnseehsheesjje. Give prob of picking 1 e and 2 h.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52507731 take away 0.43?\nAnswer: 52507730.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4291638978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 10. Let p be (-12)\/(-2*(-9)\/h). Is p at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -67. Suppose -5 = u - 2. Which is the smallest value? (a) 3\/2 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278266184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -76*b**2 + 372*b - 224. Let t(a) = -156*a**2 + 732*a - 450. Let y(u) = -7*d(u) + 4*t(u). Suppose y(n) = 0. Calculate n.\nAnswer: 1, 58\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/70)\/((-30)\/(-525)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 11*o**2 - 9*o**2 - 4*o**2.\nAnswer: -2*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f - 100. What is y(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 208 + 78 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1036 - (-10 - -19 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.51956 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from {r: 1, j: 2, k: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858594131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336083, -336087, -336091, -336095?\nAnswer: -336099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17188 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -484367 divided by -3?\nAnswer: 484367\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47527 divided by 91.\nAnswer: 47527\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 6, t: 1, h: 5, c: 2, w: 2}. Give prob of picking 1 w and 1 b.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4792 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 168199, 0 in ascending order.\nAnswer: 0, 2, 168199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a**4 + 0*a - 16\/5*a**5 - 1\/3*a**3 - 21*a**2 + 28. What is the second derivative of v(z) wrt z?\nAnswer: -192*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1.8. Let x = -18\/17 + 73\/85. Sort x, z, 1\/3 in descending order.\nAnswer: 1\/3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-20 - -7) + -10 + 0\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -254?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.3, 5\/3, 1\/112?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a day in hours?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + 39 - 39.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3676 (base 12) to base 4\nAnswer: 1133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 47. Let j be w(15). What is the smallest common multiple of 6 and -4*j\/(-4) - (3 + -10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - 1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from leqllqlllqqql?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1035 - -1518. Let s = 484.57 - w. What is s rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -8 + 0*o**2 + 0*o**3 + 3\/16*o**4 + 0*o. Factor r(s).\nAnswer: 3*s**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797511089?\nAnswer: 3, 11, 29, 1878277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 15*n + 10*n = -5051, -2*o + 2533 = 5*n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454259 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82404 greater than or equal to 5438573\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2 - 7*j**2 - 6*j**2 + 815*j + 1529 - 979 = 0.\nAnswer: -2\/3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 9*h - 68 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 8*v**3 - 8*v + 4.\nAnswer: -4*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378971859 is divided by 5263498.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v. Suppose 3*i + 4*y - 12 = 0, 2*i - 5*i + 5*y + 12 = v. Suppose -2*s = -5*c + 13, 4*s + 6 = -4*c - 6. Put i, -1, s in decreasing order.\nAnswer: i, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393613021?\nAnswer: 1393613021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 1\/4*m**4 + 1\/3*m**3 + 2*m**2 + 0*m - 1\/120*m**6 - 1\/30*m**5 + 0. List the prime factors of a(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from ffffffiffffiif?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 4*u - 369. Suppose u = -8*q - q. What are the prime factors of 0 + (-945)\/q + 1\/2?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4664*y + 2229*y - 3*y**3 + 0*y**2 + 0*y**2 + 2435*y - 46.\nAnswer: -3*y**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772 is divided by 1247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i - 296. Let g(m) = m**2 - 9*m - 23. Let h be g(4). Let o be j(h). Put -2\/15, o, -2 in decreasing order.\nAnswer: o, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4\/11 - 5190846*z**3\/11 - 2595448*z**2\/11 + 31145106*z\/11 - 23358816\/11 = 0.\nAnswer: -3, 1, 3\/2, 1297712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 503 times 4\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310110 - -104?\nAnswer: 310214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/67, -5, 40 in increasing order.\nAnswer: -5, 5\/67, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1866*k**3 + 410*k**2 + 478800*k wrt k.\nAnswer: -11196*k + 820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1700 times -8\nAnswer: 13600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4329477 and -27.\nAnswer: 4329450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.908 * -39.\nAnswer: 1283.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1956, 1955, 1944, 1917, 1868?\n\"Answer: -j**3 + j**2 + 3*j + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. Let x be (-3)\/(-2)*10\/(-6). Let f = x + 9\/4. What is the closest to f in -2, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5513.35907 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Suppose 0*l + 7 = l. Let q = l - 5. Let y(o) = -o**2 + 0*o**q + 5*o**2 - o**2. Calculate j(y(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9458 is divided by 681.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20153131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.025 and 116930.\nAnswer: 2923.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6 and (804\/256)\/(6\/(-4)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 2*r**3 + 0*r**3)*(208*r - 251*r**2 - 208*r) + (-r**3 - 2*r**3 + 2*r**3)*(2*r**2 + 5 - 5).\nAnswer: 751*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583030 is divided by 204?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1903*c - 1902*c - 623*c**2 - 1579*c**2 + 3807*c - 3395*c**2 to the form y*c + f + x*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 6. Let c = -1 + t. Let w(n) = -c*n - n - n. Let v(l) = l**2. Calculate v(w(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 633494563 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -1459.4?\nAnswer: 58.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/77*7\/2. Solve 0 = -5*j + d + 19, 23 - 9 = -z*j - 5*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjvjoyvm. Give prob of picking 1 o, 1 j, and 2 d.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 0, 0.4115?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44915.8422 rounded to the nearest one hundred?\nAnswer: 44900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.03 - -0.03. Let p = -30.8 - -161.8. Let t = 131 - p. Which is the nearest to q? (a) t (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.859722 rounded to two decimal places?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -2)*4\/(-6). Let t be (l\/(-2))\/(1\/(-5)). Let i(x) = 2*x - 4*x + 11 - 32 + 14. Give i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 10*j - 5. Calculate n(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let m be (-8)\/(-20) - (-72)\/(-105). What is the closest to f in m, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {h: 1, w: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 316036 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i**2 - 13*i + 73. Let d be x(8). Let c = 1158 + d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 176176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 231 and 30?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f. Let b(h) = -52485573*h**2. Give l(b(r)).\nAnswer: -419884584*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)\/(o*o**(6\/7)))\/(o**(19\/4)*o**(-2\/9)))**(-1) assuming o is positive.\nAnswer: o**(1105\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174 - 170. Suppose -i - 3*z + 0*z = -290, n*z = 4*i - 1192. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 826 - 1256352.\nAnswer: -1255526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Let m(v) = v**2 - 4*v - 1. Let f be m(s). Find the second derivative of 2*p - 23 + p**4 + 23 + p**f wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 10*i - 112 + 112 - 18*i.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4101 - 4?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 131067.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -150 + 716?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.76 - -2.8. What is the nearest to -1 in -1\/3, 4, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.741395l?\nAnswer: 2741.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(27) + 2 + (-1*sqrt(75))**2 + sqrt(3)) + (-2 + sqrt(3) - sqrt(3))*3 + -4*sqrt(3)*2.\nAnswer: 16*sqrt(3) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47581 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86820, 173642, 260464, 347286, 434108?\nAnswer: 520930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.7939um in nanometers?\nAnswer: 577793.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3059290 and 1864?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 909271\nAnswer: 8\/909271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6\/(-3 + (-44)\/(-12)) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**5 - 1\/4*w**4 + 0*w**2 + 0 - 17*w + 0*w**3. What is the third derivative of l(a) wrt a?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-45)\/n*n)\/(n*(n*n*(((n*n**(1\/9))\/n)\/n)\/n*n*n*n)\/n*n)*(n*n\/n**(-2\/29))**47 assuming n is positive.\nAnswer: n**(12823\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300648 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 790, 57 in descending order.\nAnswer: 790, 57, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4224 = 12*h + 12*h. Let v be 6\/33 + 2608\/h. Solve 2*d + d = 3*y + v, 2*d - y - 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = i + 13, -4 = -4*i - o. Let t = 1251\/2 - 604. What is the common denominator of t and (i - 8)*(-3)\/(-32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 228, 225, 216, 207, 204, 213?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -5. Let g(k) = 2 - 8*k + 0*k - k**2 - f. What is the units digit of g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (456\/210)\/2 - (-4)\/(-14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-3)\/(-6))*4. Let h = -1 - -5. What is p in 12*p - 7*p**4 + 13*p**4 - h*p**3 - 8*p**5 + 12*p**4 - b - 16*p**2 = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3274 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186080402?\nAnswer: 2, 17, 5472953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 15*f - 11*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, 65, 10 in descending order.\nAnswer: 65, 10, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 - 13*d**2\/2 + 26*d - 12. Let h be n(11). Is ((-2 - h) + 1)*(-838)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 times 0.4?\nAnswer: -89.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2639 + 2654 + -1 + 2 + (-1 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*i - 7, -5*h = -h + 2*i - 6. Let j(t) = 26*t + 220. Let v be j(-10). Let y be 33\/h*(-1 + v\/(-45)). Is y <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) - (2*sqrt(405) + -1 - sqrt(405)) - (sqrt(30)\/(sqrt(12)\/sqrt(2)) + sqrt(60)\/sqrt(300))**2.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 3, 2\/13, -2\/503 in increasing order.\nAnswer: -2\/503, 0, 2\/13, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 29 - 1 = 0. Let s be 2\/(-5)*1\/(-2) - 972\/(-540). Sort v, -4, s in decreasing order.\nAnswer: s, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116, -81, -72, -101, -180?\n\"Answer: -2*j**3 - j**2 + 52*j - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4608 = -11570*d + 11558*d. What is the greatest common divisor of d and 1056?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + ((-5 + sqrt(1377) + -1)*3*6)**2 + 5).\nAnswer: -34992*sqrt(17) + 457821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42.2 + 20.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -3 (b) 0.6 (c) -0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 0.0608163378?\nAnswer: -3.0608163378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -322, -719, -1116, -1513, -1910?\n\"Answer: -397*w + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*u - 168 = -256*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 219 + 181 = 5*s, 2*c + 4*s = 206. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42.410365 from -0.002004.\nAnswer: -42.412369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2972*y + 2550*y + 41766 + 8030 = 0 for y.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -2161597?\nAnswer: 47555134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (910\/(-392))\/((-104)\/2912)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(-2\/9)*f**(-1\/5)*f*(f\/((f\/(f**(-2)\/f))\/f))**(-20) assuming f is positive.\nAnswer: f**(1936\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, -124, -539, -1356, -2701, -4700?\n\"Answer: -21*m**3 - 12*m**2 + 44*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 9. Give k(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 80 = 3*f. Suppose 0*v + 4*v = f. Suppose -10*l - 3872 = -122*l - 9*l. Calculate the remainder when l is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Calculate the remainder when 74\/6 + (-2)\/(-3) is divided by d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1300 and 18160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - 7*o**4 + 17 + 2*o**3 + 6*o**4 - o as a + h*o + t*o**4 + b*o**2 + k*o**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7113\/4 + 1755. Suppose -v + 5*v = 3*a - 14, 0 = 4*a + 4*v + 28. Calculate the common denominator of ((-1)\/a)\/((-11)\/46) and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*p**2 + 47*p**2 + p + 40*p**2 + 0*p.\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/3301 less than or equal to -19\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528629792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-474)\/(-54) + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 34*l - 50. Let m be r(15). Solve -5*h + 5*i = -2*h - 4, -m = -2*h - 4*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42852364, 85704730, 128557096?\nAnswer: 171409462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**2 - 5*p**2 + 69*p**3 + 1 - 36*p**3 - p**2 wrt p.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2, 5*s + 68*n = 63*n - 55. Let h(k) = -35*k + 1. Let z(w) = 139*w - 4. What is s*h(a) - 2*z(a)?\nAnswer: 37*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 8*f + 11. Let m be j(-5). Suppose -h + 2*h = 0. Suppose h = -4*c + 6 + m. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08452720711 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -1948274.\nAnswer: 33\/1948274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86\/90017 or 1?\nAnswer: 86\/90017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381*((-4)\/18 - 35\/(-63)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39561 divided by 3?\nAnswer: 13187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/36 and -33\/2117620.\nAnswer: 19058580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {b: 3, e: 4, a: 4, w: 3, g: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/6)\/((-10)\/6*(-176)\/(-440))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 221 = i, 10*r = 12*r - 6. Calculate the remainder when i is divided by 224.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 3*a)*(2038*a**4 - 99*a**4 + 219*a**3 - 219*a**3).\nAnswer: 1939*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 - 3*g - 1. Let f(q) = -2*q**2 - 134*q + 3*q**2 + 135*q + 3. Let u(w) = -3*w**2 - w - 6. Let i(h) = 2*f(h) + u(h). Give -6*i(d) - m(d).\nAnswer: -d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 + 1396 - 4417 + 1256 + 1415 to the form a + k*t + l*t**2 and give a.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmil. Give prob of sequence mlm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z**3 - 670*z**2 - 6972*z + 882.\nAnswer: -2*(z + 21)**2*(8*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3424 and 40672?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*w + 37*h = 28*w + 28*w - 136, 5*h + 24 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -143*l + 754. Let n(x) = -9*x + 47. Let u(s) = 65*n(s) - 4*o(s). Is u(-22) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 41545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s + 3*s - 5*t, -5*t + 30 = 5*s. Let g = -261 + 255. Let n be (12\/(-63))\/(s\/g). Which is the third biggest value? (a) 1\/9 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10618426, -21236876, -31855346, -42473836?\n\"Answer: -10*c**2 - 10618420*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 154.50903 months?\nAnswer: 12.8757525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 46, 97, 166, 253?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547761?\nAnswer: 3, 182587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-2 - 29) + 2)*-2. What is the first derivative of 26*r + 162*r - 9 - 46*r - 3 + x*r wrt r?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80, -94, -120, -158?\n\"Answer: -6*o**2 + 4*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -4266609?\nAnswer: 2986626.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 6\/35 (c) 1\/4 (d) -0.28 (e) -6\/7 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + -2.6. Let i = 4.5084 + d. Round i to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482712704 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -5659993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2160407 - -2160509.38834. Let s = 102.4 - l. Round s to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 132 = 2*g. Let l be -2 - g\/((-9)\/3). What is the greatest common factor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:22 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -713\/423 - 255\/47. Find the common denominator of 93\/10*(-8)\/(-12) and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*d + 42268 + 52873 = 0, -3*t = 3*d - 285378. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(((-17760)\/216)\/(-74)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -9)*1\/(0 + -1). Which is smaller: k or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72701*5.\nAnswer: -363505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91215577 to the power of 1\/2, to the nearest integer?\nAnswer: 9551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 + 1 = 0. Suppose 5*y = -b*c - 0*y - 50, -3*c + 4*y = 2. Calculate the remainder when 69 is divided by (-87)\/c + (-4)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yudymmaakkaammyka. What is prob of picking 1 y and 1 a?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -677 - -679. Solve 3*i - z = 7, -3*s = -4*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than or equal to 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22709305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -2)*2 + 3 + sqrt(2299)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 20*c + 20*c + 2*c**2 in the form n*c + j + l*c**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 - y + 1. Suppose 7*z + 23 = 9. Let f(w) = w**4 - 2*w**3 - 5*w**2 + 2*w - 25. Let r(p) = z*b(p) - f(p). Differentiate r(v) wrt v.\nAnswer: -4*v**3 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/144)\/(-4 - 70\/(-15)). Let j = -0.1 - 0.1. Let n = 56 - 73. Which is the closest to n? (a) p (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 27*v + 163. Give j(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4629 or 4632?\nAnswer: 4632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -129323 less than -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 + 39*i**4 - 282*i**3 - 4114*i**2 + 35547*i + 132651 = 0. Calculate i.\nAnswer: -9, -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6283)\/(-927) + 1*(-4)\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12924910759967+-56\nAnswer: 12924910759911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.3420213.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 - -8.81. Let j = -9.000068 + m. What is j rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(700) + sqrt(700) + 2)*-1)**2 + 5)*5.\nAnswer: 400*sqrt(7) + 14044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -259086, 4\/7, 2\/11 in increasing order.\nAnswer: -259086, 2\/11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + q + 4. Let o be k(-3). Let j = 24 + -63. Let f = o - j. Calculate the remainder when 37 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -4*w + 3, 5 = 5*w + p. Suppose w = d - 6*d. Solve 4*b = 0, d = -4*q - 0*b - 2*b + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1383022.\nAnswer: 1383022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 1235*u\/2 + 1525225\/4.\nAnswer: (u - 1235)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 375795989 to the power of 1\/2, to the nearest integer?\nAnswer: 19385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 177b14 + 4?\nAnswer: 177b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 60908?\nAnswer: -11\/60908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330614?\nAnswer: 2, 3, 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1082.5474 to the nearest ten.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t + 4*t)*(3 - 3 - 1) - 2*t + 0*t - 3 + 0 in the form x*t + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3372\/(-560) - -6)\/(6\/(-38)). Let p = 3223\/280 - a. What is the common denominator of p and 4\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10*3080\/(-224))\/((-57)\/(-114))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o + 13. Calculate a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29670 by -129.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332893945 - 5121.\nAnswer: -332899066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**2 + 5*b. Let s(g) = -8 + 25*g**2 + 14*g + 8 + 0. Let p(l) = -7*q(l) + 2*s(l). Find the second derivative of p(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(((sqrt(208) + 1 + sqrt(208) + -4)*2)**2 + -2 + -3).\nAnswer: -576*sqrt(13) + 10077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22*((-57)\/969)\/((-10)\/85)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3466 + -3449. Solve -d*r = -11*r + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 + 26*p**3\/5 - 58*p**2\/5 + 6*p.\nAnswer: 2*p*(p - 1)**2*(p + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -80 + (-2 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27943, 55887, 83831, 111775?\n\"Answer: 27944*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let w(x) = -x**2 - 1. Let r(v) = 5*v**2 + 13. Let z(i) = -r(i) - 4*w(i). Let c(n) be the first derivative of z(n). Calculate u(c(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99355133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24260 - 2*c**2 + 24260 - 3*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 2. Let j be q(-1). Suppose j*x + 0*x = -10. What is the nearest to x in -1, 5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 501, -4, 2, -366, 5, 4, 3 in descending order.\nAnswer: 501, 5, 4, 3, 2, -4, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43962 divided by -1293.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136714 (base 16) to base 10.\nAnswer: -1271572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -79*z + 94*z. Solve -z + 12 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 497 = -1477. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from llblsbszfylbsszsss?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6132 is divided by 1890.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -314 + 220. Let c = t + 59. Let v = c + 43. Are -2\/11 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -14)\/(2 + -4). Suppose 3*x = 0, -2*d + 3*x = 3 + c. Let u(b) = 2*b + 4. Determine u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41278820117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2381 + 11322. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zhihziii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 533014211 (base 6) to base 10\nAnswer: 9380095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 200 = -29*n + 72*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44900 = 157*i - 16644. What is the remainder when i is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141198, 282393, 423582, 564765?\nAnswer: 705942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13\/3)*g**2)\/(g**(2\/17)\/g**(5\/3)))**(-9) assuming g is positive.\nAnswer: g**(120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 101*b**2 + 526*b - 424 = 0. What is b?\nAnswer: -106, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1452*f - 6405 = -1025*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001194882368 rounded to five decimal places?\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) 2\/15 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 35*x**2 + x + 1. Let d be o(1). Suppose 2*l + d = 193. What is the remainder when l is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22789\/10 + 2277. What is the common denominator of g and -29\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -383423 and -0.3?\nAnswer: 115026.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 97, -2\/7, -1\/3, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**4 - 3966*y + y**5 + 4088*y - 6*y**4 wrt y.\nAnswer: 20*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2424*r. Let y(g) = 3*g. Determine -2*s(d) + 1818*y(d).\nAnswer: 606*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -247.9.\nAnswer: 269.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 100 = -5*b, 4*b - 67 = q. Suppose -4*c = -2*c - b. Let p be 2 + (-6)\/c*3. Solve p = -5*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cjjcccjcccccjcjccj?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 1)*(-8 + 14 - 14)*(3 - 3 - 1)*(-15*h + 14*h + 20*h) + (3*h - 3*h - h)*(-1 + 1 + 2) + h + h - 4*h.\nAnswer: 1212*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3446, -3467, -3510, -3587, -3710, -3891, -4142, -4475?\n\"Answer: -2*w**3 + w**2 - 10*w - 3435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 5. Let h(v) = 1. Let q(z) = -2. Let o(n) = 5*h(n) + 2*q(n). Let p(j) = -2*j**3 - 12*j**2 + j + 7. Let k be p(-6). What is k*s(c) - 6*o(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 42*z - 142. Determine r(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3 - 340*s**2 - 5104*s + 25920 = 0.\nAnswer: -324, -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*s + 81*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 356515068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68)*-3*-4)\/(sqrt(20)\/(-2*sqrt(5)) - sqrt(4) - (sqrt(8)\/sqrt(2) + sqrt(4))*-3))**2.\nAnswer: 1088\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/12584302 and -53\/2082.\nAnswer: 37752906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3230, -6413, -9596, -12779?\n\"Answer: -3183*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 2. What is the remainder when 9 is divided by o(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 8*i\/3.\nAnswer: 2*i*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + 3349\/51. Let w(q) = -5*q**3 + 2*q**2 + 2*q + 1. Let r be w(-1). What is the greatest common factor of f and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 3*d + 0*d)*(136 - 53 - 36 + 5) to the form i*d + n and give i.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -49*y + 44. Let n be q(0). Suppose n*w - 3 = 43*w. Solve w*d + 3 = -3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950510849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = -34*q + 182. Is 92 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/5 - 54*w**4\/5 + 51*w**3\/5 = 0. What is w?\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 4*t - 6*t + 2*t**2 + t**3. What is the smallest common multiple of b(3) and 12 + 2 + (-2 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 48 = -122. Suppose 5*d - 3*p = 125, 5*d - z*p = -38*p + 125. Solve 2*n = -3*n + d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Let z be 2\/9 - (-36)\/81. Is z not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-7.5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 - 1.7. Suppose 0 = 4*g + 2 - 6. Put -0.5, g, x in ascending order.\nAnswer: -0.5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-1)*16*615\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 16*s**3 - s**3 + 6*s**3.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q + 33 = 2*q + 228. Solve -q*j + 55 = 55 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 260*h**3 + 240*h**2 + 120. Let s(w) = 2*w**3 + 2*w**2 + 1. Give -a(p) + 120*s(p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 124 = -176. Does 27 divide 375\/w*108\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjxj when four letters picked without replacement from {x: 3, t: 3, j: 3, f: 11}.\nAnswer: 11\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g = -36. Let d be -20 - (-9 - g\/(-3)). Is -14 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 4*h**2 - h**2 + 2*h**2 + h**2 - h + h + (1 + 4 - 4)*(3*h**2 - 2*h + 2*h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1853*n + 592958. What is z(320)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -4 - (sqrt(21)\/sqrt(3) + -2))*-6)**2.\nAnswer: -1440*sqrt(7) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/14)*a\/((a\/(a\/(a\/a**(-2\/15)*a)))\/a) assuming a is positive.\nAnswer: a**(17\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 0 + 0 - 28*n**3.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-2)\/15). Suppose 0 = -w*q + 2*y + 21, -5*y = -4*q + 5 + 5. Solve 7*h - 25 = 2*h - q*v, -3*v = -5*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054237950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 4\/7 (c) 83 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3532, 8, 0, -4\/3 in descending order.\nAnswer: 3532, 8, 0, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 531461933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 214*x**3\/5 + 132682*x**2\/5 + 265744*x\/5 + 2472\/5 = 0?\nAnswer: -618, -2, -1\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (50 - 42).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose -3*p = -2*t + 350 - 119, -5*t + q*p = -567. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -2*m = 2*r - y, 3*r - 5*r = 3*m - 6. Suppose m*b + 21 = 5*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476, -1738, -3850, -6818, -10648?\nAnswer: -15346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 42*y**2 + 4 - 7.\nAnswer: -42*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let j(t) = -t + 841266. Determine h(j(b)).\nAnswer: b - 841266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 j, and 1 z when four letters picked without replacement from {h: 2, k: 4, l: 1, z: 1, j: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/2, 2\/31, -8, 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -27, -50, 0.2, -2\/141, 2, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*18\/3456*8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.01, -5\/459, 5, 0.4, 0 in decreasing order.\nAnswer: 5, 0.4, 0.3, 0, -0.01, -5\/459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 3*v = 10, 0 = 5*w + 5*v - 10. Let h = w + -2. Let o be (h - (7 - 4))\/(-38). Is 1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + s - s + (1 - 6 + 3)*(5*s - 5*s - 2*s))*(-s - 5*s + 5*s)*(12*s - 7*s + 10*s) + 0*s**3 - 5*s**3 - 3*s**3 as l*s**3 + h + m*s + p*s**2 and give l.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/24 and 127\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.29 + 75.\nAnswer: 92.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 239, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**(-1\/10) assuming m is positive.\nAnswer: sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 313802789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394300 divided by -10.\nAnswer: -39430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*j**2 + 12*j**2 + 9*j**2 + 0 - 1 - 1667*j in the form z + o*j + u*j**2 and give o.\nAnswer: -1667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 21*k**3 - k**2 + 5*k. Let q(i) = 10*i**3 + 2*i. What is 5*q(c) - 2*s(c)?\nAnswer: 8*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0. Let u = 119\/52 + -20\/13. Let p = -1.2 + 0.2. What is the nearest to p in -4, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.3, -8\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -20*q - 87. Let a(g) = 18*g**2 + 7*g + 1. Let l(x) = -12*x**2 - 5*x - 1. What is q*l(o) - 5*a(o)?\nAnswer: -6*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 20 + 1 - (-56 + 71).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4068.1425 + -3975.2. Let q = -93 + r. Round q to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**2 - 6*g - 1. Let l(b) = -b**2 - b. Give 6*l(c) - y(c).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7308003 minutes to seconds.\nAnswer: 43.848018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -28702451 at most as big as -28702452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8*i + 3*o = -8, 2*i - 2*o = 0. Find the second derivative of 0*t + 0*t**3 + 4*t**3 - i*t - t**3 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -833, -807, -781, -755, -729?\n\"Answer: 26*q - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzww when four letters picked without replacement from vzwzmzmswzss?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*p - 84. What is the lowest common multiple of 12 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -4*y**6\/15 - 3*y**3 + 14*y. What is the second derivative of l(j) wrt j?\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 917*b + 917*b - 6*b**5 + (-2*b**3 + 3*b**3 + 0*b**3)*(3*b**2 + 0 + 0).\nAnswer: -3*b**5 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - s**2 + 3*s - 2. Let g be t(-2). Let a be g\/(-10)*(20\/8 + 0). Solve 3*n + r = 5, -10 = -a*n + 2*n - 2*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -352, -307, -232, -127, 8?\n\"Answer: 15*q**2 - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 = -0. Let w = 1 - q. Let t(l) = -l + 0*l**2 + 1 + 2*l**2 - 7*l**w - l**2. Determine t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b - b)*(15*b**2 - 7*b**2 - b**2).\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**2 - 265*p - 62. What is q(31)?\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2305240 (base 6) to base 15.\nAnswer: -24d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.17195 years in millennia?\nAnswer: 0.09417195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Suppose h*n - p - 44 = 0, -53 = -3*n + 5*p - 3. Suppose -40 = 3*z - 8*z. Calculate the smallest common multiple of z and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*f - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-6) - (-26)\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(245) + (2 + sqrt(500))**2 - (5 + ((sqrt(10) - (sqrt(10) - -1*sqrt(10)))\/sqrt(2))**2)*2.\nAnswer: 47*sqrt(5) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64027\/10 - -6412. Let q be (2 - 3)\/(0 + 1). What is the common denominator of t and (q - 122\/(-16)) + 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*f + 116*f + 12 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 + -2. Let n = -3.6 - -4. Which is the smallest value? (a) 5 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - l**2 + l**2)*(-3*l**2 + 9*l - 1 - 2*l**2 + 3*l**2).\nAnswer: -6*l**4 + 27*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99) + -1 + (sqrt(11) - 5*3*sqrt(11)) + sqrt(11) + -2)**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 149090*d + 17 = 149092*d, 4*f + 2*d = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * 22157.\nAnswer: 2836096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3966 + 250*a - 3966)*(3*a**2 + a - a) as f*a**3 + q*a**2 + t*a + b and give f.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*y - 416 = 691*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - 0) + -10 - (95 - 94).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 4 - q**2 + 0*q - 1. List the prime factors of c(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 771\/(-567) + 7\/((-756)\/(-8)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796258249 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9536*c - 6 + 23*c**2 - 1 - 9538*c as z*c + h + j*c**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 11) in base 9?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -6*n + 2*n. Solve -2*a - 3*m + n - 6 = 0, 0 = 5*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/9? (a) -8 (b) -11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 at most 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/2)\/(1*((-330)\/22)\/15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**3\/6 - h**2 - 58*h + 18. Let i(o) be the first derivative of p(o). Let t = -6 - -9. Calculate i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3884 is divided by 1543.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:23 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 24 + 74. Solve -6*h - m = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 158 = g, 0 = -2*g - 3*x + 320. Let b = g - 162. Solve -b*t + 0 = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 12. Let n be (-3)\/(-6) + u\/2 - -3. Solve 5*h + 0*h = -5*q + 30, -n*q - h + 18 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 25*d**2 + 102*d**2 + 2*d + 10*d**3 + 0 - 40*d**2 - 49*d**2 to s*d**3 + n + m*d + k*d**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**9)*m*m**(-2\/3)*m**7\/(m*m**(-1\/2)*m))**(-1\/8) assuming m is positive.\nAnswer: m**(-89\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -132827800 rounded to the nearest 100000?\nAnswer: -132800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5\/11, -3\/2, 2?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173428?\nAnswer: 2, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16560? (a) -18 (b) -4 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:04 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4 - 21*p**3 + 18*p**2 + 84*p - 120 = 0. Calculate p.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (-8)\/(-6)*3. Solve 0 = -5*p + 2*p + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -187876*t. Let g(z) = -5*z. Determine g(h(j)).\nAnswer: 939380*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (110\/(-33))\/((-2)\/12). Suppose 3*b - 8 - 2 = 5*h, 2*h + 2*b + g = 0. Let l(p) = p**3 + 4*p**2 - 6*p + 5. Calculate l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/16 and (-6)\/704*-25*(-46)\/(-460).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 10*d - 5 + 4*d + 12*d. Give v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1)\/(-1))\/1. Let s be 4\/10 + (408\/70)\/(-6). Is b greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f - 2. Let u(g) = 5 + 44*g + 66*g - 125*g. Calculate 3*u(b) + 7*w(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*((-2 + 4 + 0)*(-3*j + 6*j - 2*j) + 2*j - 3*j + 2*j + 3*j + 2*j - 3*j).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -35*j + 2767. Let d be f(79). Which is the closest to d? (a) -4 (b) 23 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - -2. Let f = -1126.06 - -1126. Put f, m, 1\/7 in increasing order.\nAnswer: f, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 3\/12 + (-45892)\/(-112).\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-24)\/f)\/f)\/f**(-23)*f**(1\/27)*f\/f**37 assuming f is positive.\nAnswer: f**(-1052\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*q = 3*q, -3*q = -l. Suppose -3*d - 3 = 2*w, l = 5*d - 2*w + 2 + 3. Calculate the lowest common multiple of 2 and 2*1\/d*-8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -362, -4, -3 in ascending order.\nAnswer: -362, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37\/4 (b) 2\/3 (c) 1 (d) -14 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1 + (1 - 3 - 1)*(-2 + 3 + 1))*(3*a + 0*a - a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (18 - (-54 - -67))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - 2462?\nAnswer: -2485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 330553451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -26. Let g be (0*(-2)\/6)\/n. What is the smallest value in g, -0.4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.02483367.\nAnswer: -0.47516633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 4*f**3 + 5*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 33*p**2 - 5*p**2 - 2*p + 71*p**2.\nAnswer: 33*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 24*f + 415. Determine d(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7308 and 2898?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.49352ns in hours?\nAnswer: 0.0000000000137482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/22)\/((-704)\/3872).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9)\/(p*p\/(p**(-5\/4)*p)))\/(p**(1\/3))**(-46))\/(p**(-2\/17)*p*p\/((p*p**(-6))\/p)*(p\/p**(3\/4))\/p**(-2\/3)) assuming p is positive.\nAnswer: p**(1243\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 209 - 215. What is the least common multiple of 22 and (-16)\/80 + f\/((-10)\/102)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(2\/(-6)). What is the first derivative of 3 - s - 3 + 4 + v**2 wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 604163\/27026067 + 1\/60461. Let m = 9506\/1341 + i. Calculate the common denominator of m and -35\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0328 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -29. Suppose 28 = -11*k + y*k. Let a = 27 - k. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 3*j**2 - j - 3. Let r be (6\/(-4))\/(9\/12). Let p be y(r). Suppose -f + 3*f + 128 = p*t, 205 = 5*t + 5*f. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2246, -4113, -6010, -7937?\n\"Answer: -15*d**2 - 1822*d - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**8)\/(i**(-8\/3)\/i) assuming i is positive.\nAnswer: i**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c. Let x(b) = -56180*b. What is x(j(i))?\nAnswer: 112360*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/8 + 4*z - 15\/2 = 0 for z.\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.1, 1, 0.4, 21, -1.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88 - 3\/(-24)*0. Calculate the common denominator of (-66)\/u - 622\/120 and 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - (17 + -6 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2073 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 11110220100112110?\nAnswer: 11110220100112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*g + 85. Let y be (g + -1)\/2 + -2. Let n be 1\/(-3) - 38\/(-6). Is n > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*n = -167*n + 7463 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19896901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 2*q + 5*q + (2 - q - 2)*(1 - 1 + 1) - q - 2*q + 5*q + (-18 - 31 - 17)*(2*q - 5*q + 4*q).\nAnswer: -63*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t**2 + 565*t - 28. Calculate c(-35).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 13) in base 6?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 308*r + 306*r - 100, 3*o - 292 = 5*r. Calculate the highest common divisor of o and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/24 + m**3\/3 - 2*m**2. Let b be x(2). Let a(u) = -u + 1. Calculate a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8 - f - 5 + f**3 + 23 to g*f**3 + j*f + y*f**2 + x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g + 3*d + 38, -40 = g + 4*d. Let c(l) = 9*l**2 + 5*l + 8. Let p be c(-2). Let s = g + p. Solve 0 = 2*x + s*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 13. Calculate the remainder when (26\/(-4))\/((-5)\/30) is divided by w(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1302 + 2*i**2 + i**4 - 6*i**3 + 6*i**3 + 1303 - 3*i - 6*i**3 as o*i**3 + z + s*i**4 + n*i + q*i**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*177884\/(-19059)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1849*g**3 - 3*g**2 + 74*g wrt g.\nAnswer: 11094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16647 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384567 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(3\/2)*z*z)\/z**(-9\/5))**28)**(-6) assuming z is positive.\nAnswer: z**(-6132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose u - 3 = -j*v + 20, -2*v + 11 = u. Solve -5 = u*n + 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(-2*(sqrt(11) + sqrt(176))))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60db - 8ba?\nAnswer: 5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 246? (a) -2\/17 (b) -0.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309106127?\nAnswer: 11, 227, 123791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5859162?\nAnswer: 2, 3, 108503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 0)*25\/(-15). Suppose 34 - 14 = i*p. Let n = 287 - 3145\/11. What is the smallest value in -2\/3, p, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in 5, 2, -14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24164287 - 24164287 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 53. Let -2*s**2 - s**2 + y*s**2 + 3*s**3 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 23*n = -7*n. Let p be (0 - -7 - 2) + (n - 5). Sort 1, 3, p in decreasing order.\nAnswer: 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 506, 88, -5?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 + -4 + 4 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**7\/1260 - t**4\/24 - t**2. Let y(z) be the second derivative of i(z). Let n(g) = 9*g**2. Give y(n(h)).\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.941 - -0.059. Let q = -241\/2 + 701\/6. Let c be 1 + 0 + 20\/(-8). What is the nearest to q in c, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13885 or -13888?\nAnswer: -13888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + 1*sqrt(78)))*-6)\/sqrt(6).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-9)\/234*-26)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 28, -6, -78, -200?\n\"Answer: -2*m**3 - m**2 + 9*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.045 at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55743 divided by -2.\nAnswer: -55743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*1\/6*2. Suppose 0 = p - 3*a + 145, g*a - 2*a = -3. Let l = 207 + p. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -994552 greater than -994551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**3 + 207*r**3 - 944 + 946.\nAnswer: 186*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 19*s + 17*s - 5 = -37, 3*a = -s + 23 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 - -3)) + -17 + 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**3\/6 + 58372*u**2\/3 - 486739091*u\/6 - 69538921\/3.\nAnswer: -(u - 8339)**2*(7*u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 + 167. Suppose 0 = -b + 5*b - 28. Solve 5*u = -d*z - 12, -2*z - u - b = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-22)\/(k\/(k\/k**(-5\/4)))*(k\/((k\/(k*(k**(-23)*k)\/k*k))\/k*k))\/k*k\/(k\/k**(-2)) assuming k is positive.\nAnswer: k**(-179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 633*x**3 + 4*x**2 - 4*x**2 + 2 - 306*x**3 - 314*x**3 as l*x**2 + s*x + a + o*x**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1585494714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:03 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 not equal to -364136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17043*p - 34088*p + 17050*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 - 2*j + 1. Let p be v(-3). Let g be (-1)\/2 + p\/2. Let w be g\/(-5) + (-28)\/(-5). What is the highest common divisor of 20 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 291, 26, -4, 2 in increasing order.\nAnswer: -4, 0, 2, 26, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*(u\/(u\/(u\/u**(2\/3)))*u*u)\/u))**(4\/5))**(-3))**(-20) assuming u is positive.\nAnswer: u**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 2}. Give prob of sequence eer.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 28 = -s. Suppose -4*n = l - 5, -4*l - 3*n = 2*n - 53. Let z = l + s. Calculate the smallest common multiple of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12139753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -v, -3*v - 5*j = -10 - 2. Suppose -p = -3*f - 5 - v, 0 = -3*p - 2*f + 5. Solve -5 = -p*o - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 45968726 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 44 = 2*b + g, 0 = 4*b - 2*g - 78. Let m = -3 - b. Let x = -4 - m. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*l = -4*l, 5 = 5*q + 4*l. Solve 23 = -q*d - 4*a, 3*d - 5*a = 2*d + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -19, -170, 5, 0 in increasing order.\nAnswer: -170, -19, -9, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*14\/4*2. Suppose -226*z - 134 = -232*z - 5*c, 5*c + 37 = 3*z. Solve -a - o = -z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5)*j*j\/(j*j*j*j*j*j*j**2*j*j)*(j*j\/(j**(4\/5)\/j*j)*j)\/(j**(3\/2)*j))\/(((j\/(j*j**1*j))\/j)**20*j**3\/j**(1\/6)) assuming j is positive.\nAnswer: j**(754\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*0 - -2. Suppose 3 + 3 = -h*x. Put x, -4, -1 in increasing order.\nAnswer: -4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 - 6.3. Let k(d) = 4*d**3 + d**2 - 1. Let n be k(1). Sort n, -5\/6, j in decreasing order.\nAnswer: n, -5\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 218881598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*v = 130, 68 + 26 = 3*t - 2*v. Calculate the remainder when 51 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 54312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/30*3654\/3045.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 70313*d**5\/12 + 2*d**4\/3 - 16*d**3\/3 - 94*d**2. Let c be l(-8). What is c rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/28 (b) 0.05 (c) -15\/8 (d) -2 (e) 3\/8 (f) 0.015\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -33*s - 172. Let m be h(-5). Let v be -2*(105\/(-6))\/(-5). Is m equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.2712884 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 8. Let m(t) = -t + 2. Let w be m(u). Suppose w*g = g + 48. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -83553)\/2*3. Suppose -r - 40009 = -3*n, -4*r + 3*n - j = 34681. What is r rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/5 + 142*c**3\/5 - 676*c**2\/5 + 1064*c\/5 - 528\/5 = 0. What is c?\nAnswer: 1, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 89?\nAnswer: -53\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, m: 1, h: 2, a: 1}. What is prob of sequence mk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583505 is divided by 38899.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v - 1. Let t be u(2). Let i = 35 - t. What is the remainder when 61 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 + 246*z**2 - 127*z - 184. Let k be g(-62). Suppose -2*o + 1 = 3*n, o = -3*n + 2*n. Let j = 59 + -58.5. Put n, -0.25, k, j in descending order.\nAnswer: k, n, j, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 18 + -6 - (-153 + -1 + 3) is divided by 8\/6*(-21)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-168)*12)\/(7\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1245 + m - 48*m**2 - 1245 - 101*m**2 in the form i + n*m + s*m**2 and give s.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 13, 24, 39, 58, 81, 108?\n\"Answer: 2*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/17)\/(q*q\/((q\/q**0)\/q)))**(-2) assuming q is positive.\nAnswer: q**(64\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 6. Let d(y) = -2*y - 3. Determine 7*d(g) - 3*m(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7 - 222) + 3)*5\/200 and 266\/(-20) - 8\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -5\/1706188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1135832 times 4\nAnswer: 4543328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 2:49 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3330514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8812777 to two decimal places.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1159 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = 5*i - 166*v - 547 + 154, -v = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*f - 58 = 0, f + 8 = 4*o - 128. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - g + 4. Let m be c(0). Solve 2*w = m*w, -2*o = 5*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j**2 + 221 + 221 - 672 + 230.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 120 = 9*q. Is 13064\/q*7\/((-56)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 16963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(1100))**2 + 3.\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 28*o**2 - 322*o + 32. What is the units digit of q(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*s**2 + 15*s + 22*s - 2*s**2 + 9*s**2 wrt s?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -2)\/((-45)\/(585\/(-26))). Factor b + 3\/2*v**3 - 1\/2*v**2 + 0*v + 2*v**4.\nAnswer: v**2*(v + 1)*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*s - 9. What is the second smallest value in s, 17, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3661663.\nAnswer: 277, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57078871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, -5, 5 in increasing order.\nAnswer: -36, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -9196.5.\nAnswer: -9196.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/240 + j**4\/32 - 7*j**2. Determine x, given that h(x) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1865 - 1865. Let m be (-143)\/55 + 2\/(-5). Which is the third biggest value? (a) i (b) m (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1005640, -2011234, -3016828, -4022422?\n\"Answer: -1005594*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 102872848 = 102875548 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -30\/71601497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - -450?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9395940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7692 is divided by 1910.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 19. Let o(h) = h + 19. Let g(i) = -5*n(i) + 6*o(i). Let x be g(-17). Factor 1\/4*k**3 - 1\/4*k + 1\/4 - 1\/4*k**x.\nAnswer: (k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/4, 4.13 in decreasing order.\nAnswer: 4.13, 2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2347.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25433693 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10502960 and 113\/13128700.\nAnswer: 52514800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146754910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1527616233 and 4433?\nAnswer: 4433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1d - 2b?\nAnswer: 9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 36. Let c(f) = -f + 8. Let k(i) = -2*i + 15. Let u(l) = -7*c(l) + 3*k(l). Let v be u(h). Which is smaller: v or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*a**2 - 28*a**2 + 7*a**2)*(-36*a - 441*a**2 + 59*a + 439*a**2) to d*a**2 + v*a**4 + h*a**3 + o + j*a and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*k = 66848 - 66869 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**3\/21 + w**2\/2 - 6*w\/7 - 2. Determine j, given that m(j) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -1. Let g be (-2)\/((-126)\/36*(-15)\/42*2). Which is the closest to -2? (a) g (b) -2\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 - 41*y - 4. Let z be t(-8). Let x(f) = f**2 - 4*f + 1. Let n be x(3). Which is the second smallest value? (a) n (b) -3\/8 (c) 0 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**26\/t)**(-50)\/(t**(2\/17)\/(t**(-2\/13)\/t)) assuming t is positive.\nAnswer: t**(-276531\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**7\/7560 + l**6\/60 - 9*l**5\/10 + 25*l**4\/12 - 45*l. Let o(s) be the third derivative of i(s). Let o(q) = 0. Calculate q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2. Let b be k(0). Let f be (b + -1)*(-6 + -1). Calculate the greatest common factor of 56 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-142))\/(1\/3). Is 0 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 12:24 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -11 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, o: 1}. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/1047 + -3133\/4188. Let j = -527\/5 + 105. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2743 + 2747. Let n be 2 - (-3 - -3)\/1. Sort 3, y, n, -2 in decreasing order.\nAnswer: y, 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/4 + 4*l**3\/3 + 7*l**2\/2 + 3. Let y(t) = -2*t**3 - 8*t**2 - 15*t. Let m(i) = 13*k(i) + 6*y(i). What is m(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28632, 118737, 268908, 479145, 749448, 1079817?\nAnswer: 1470252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7074, -14142, -21094, -27870, -34410?\nAnswer: -40654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*o - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -265, -399, -535, -673?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 24*d - 36. Give a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {s: 2, j: 1, d: 1, e: 1, k: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7556.1 - -7551.1. Let y = -0.2 + 0.4. Which is the nearest to 3? (a) u (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z = 18*z - 37 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 2304.2\nAnswer: 9216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**7\/14 + 5*o**3\/2 + 18*o. What is the second derivative of a(h) wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20598\/205 - -46\/41. Let v = 102 - s. Is 0 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2511742563 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2425b - 36?\nAnswer: d24225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2007997*z**2 - 2007996*z**2 - 2007963*z**2 + 6023956*z**2 - 11*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111001101000011010100010?\nAnswer: 111001101000011010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-1650))\/((-25)\/((-375)\/(-54))).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/51)*o)\/(o**(-19)*o)*(o\/((o*o**(6\/25)*o)\/o)*o)\/(o**9*o) assuming o is positive.\nAnswer: o**(12494\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21340 (base 5) in base 9?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24721 + 2564 = 107*l. Calculate the remainder when l is divided by 104.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*((l*l**(2\/15)*l)\/l)\/l*l*l*l*l)\/l**(-7))\/((l\/(l*l**(1\/14)*l*l))\/(l**(-11\/5)\/l)) assuming l is positive.\nAnswer: l**(2521\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/4 - 8*n**3\/3 + 7*n**2\/2 + 5*n - 4. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50930000 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 480\/(-4)) + -2. Suppose 27*a - 28*a + w = 0. Let x(c) = 121 - a - c. Let g(i) = -35*i**2. Determine x(g(m)).\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10443 less than or equal to -10445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1853*k**4 - 3905*k**3 - 9*k - 1732251.\nAnswer: 22236*k**2 - 23430*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8*y - 25. Let t(r) = 19*r + 1. Let c(k) = -4*k + 1. Let x(w) = -5*c(w) - t(w). Let o(v) = 2*v - 5. What is y*x(a) + 6*o(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:06 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 774.6958 years?\nAnswer: 0.7746958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9082477*p**2 + 9389331*p wrt p.\nAnswer: -18164954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*h + 5, -3*c + 5 = -2*h + 6. Suppose 303 - 7 = 74*l. Solve l = 3*a + c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2086, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 209. What is s(-130)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 103 = -14*u, 3*g - 1009*u - 9 = -1008*u - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*n - 16*n - 18*n)*(-1 + 0 + 3)*(-4*n - n**2 + 4*n) to s*n**3 + o*n + j + h*n**2 and give s.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*h - 14 - 22, -4*h + 36 = y. Suppose -26*r + 36*r = 200. Calculate the lowest common multiple of r and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 462264867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3\/7 + 21*r**2 - 285*r\/7 + 141\/7 = 0?\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -21, -33?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1240555 < -1240557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a century in months?\nAnswer: 17040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80256904?\nAnswer: 2, 7, 13, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 1, a: 1, k: 8, n: 4}. Give prob of picking 2 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2285.688653 to the nearest ten.\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.17974 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/56*-3*1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1608?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 2*-1*sqrt(121))*-2)\/((sqrt(66)\/sqrt(2))\/sqrt(3) + sqrt(44)\/sqrt(64)).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 7*g**2 - 11*g + 11. Let u be q(8). Let d be (u - 3) + 1 + 3. Let f(w) = -48*w - 242. Let v be f(-5). Put -5, d, v, 1 in increasing order.\nAnswer: d, -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -7\/2, -1\/5, -0.5, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6351 * -0.2.\nAnswer: -1270.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 5*c - 7. Let w(o) = 3*o - 7. Let m(g) = -g + 3. Let d be m(-3). Calculate the remainder when w(d) is divided by h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*a*i**2*k**2 - 2*a*i**2*k - a*i*k**2 + 16*a*i*k - i*k wrt i?\nAnswer: -92*a*k**2 - 4*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 270038261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**2. Let p(i) = -3 + 3 - 12497*i + 12513*i. Calculate d(p(m)).\nAnswer: -2304*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 14*x**2 - 14*x + 21. Give b(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x + 107. Give n(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9*(0 + -9). Suppose y = 3*s - 6, 84 = y - 5*y - b*s. What are the prime factors of (-60)\/y*(3 - 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 3*g + g + 66*g**2. Let j be l(4). Round j to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*b*d**2 - 64108*b*d + 19779457*d**2 wrt b.\nAnswer: 51*d**2 - 64108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x, 2*x - 10 = m - 0. Put m, 1, 5 in decreasing order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c + 3. Suppose 5*k = 2*k + 9. Let t be h(k). Suppose 3*z - 3*n + n = 57, 0 = -z + 2*n + t. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + g**5 + g**4 + g**5 - g**4 + 0*g**4 + 7*g**5 + 0*g**4 + (3*g + 3*g**2 - 3*g)*(-3*g**3 + 2*g**3 + 0*g**3) - 4*g**2 - g**5 + 4*g**2.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 10212.\nAnswer: 1\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5 (b) 23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(180)*-2 - sqrt(180))\/sqrt(10))**2 - (1 + sqrt(72))) + 5.\nAnswer: -6*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -43. Suppose s + 3*j - 3 = 4*j, 0 = 3*s + 5*j - m. Solve -3*r - 5*u - 8 = 0, 4*u = 2*r + 8*u + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 + 1. Let u be c(1). Let z be -2 - (-1 - u\/5). Let b = 1.21 + -4.21. What is the nearest to 0.1 in z, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4706 divide 2100786636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -91633232?\nAnswer: -91633232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/9*(-25)\/(525\/(-1071))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from {v: 3, a: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2548 and 2275?\nAnswer: 63700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*j + 0 = 6, -2*u = -4*j - 8. Suppose 4*h - 27 - 17 = u. What is the tens digit of (4 + (-3 - 0))*h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551371534 by 2.\nAnswer: 275685767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -509 + 343 - 13340*l + 166 as o + x*l and give x.\nAnswer: -13340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by -4261?\nAnswer: 94\/4261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561451513.\nAnswer: 3, 2111, 404461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 4*g - 25. Let m = -17445 + 17452. Calculate w(m).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280335913?\nAnswer: 11, 13, 1960391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiiuiiiiuiiuiu. Give prob of sequence iii.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3242, -14920, -46624, -108368, -210166, -362032, -573980, -856024?\n\"Answer: -1669*p**3 + p**2 + 2*p - 1576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)*(w\/(w\/w**(-6)*w))\/w*w*(w**0)**(2\/41)*((w\/(w**(-1)\/w))**(-15\/7))**(-25) assuming w is positive.\nAnswer: w**(1041\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -687430 rounded to the nearest ten thousand?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -95245.885 to the nearest 10.\nAnswer: -95250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/3 - 965*h**2\/3 - 7960*h\/3 - 5360.\nAnswer: 5*(h - 201)*(h + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5856, -1\/4, -9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249125783 bigger than 1245628914\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3488460 and 87\/4651280.\nAnswer: 13953840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 34*j**2 - 16*j + 4. Let h be c(-15). Suppose 0 = m - 2*y - 2*y - h, 0 = -m + y + 1138. Is m a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8. Let z be (-1 + -1)*(2 + 0). Let n = z + 2. Sort 1, d, n in ascending order.\nAnswer: d, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 94.75.\nAnswer: 95.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h + 5. Let z be x(7). Suppose 15*o = -14 - 76. Let d = z + o. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, b: 11}. What is prob of picking 1 t and 1 b?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 18*t + 14*t in the form b*t + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3497.85335 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 2. Let t(a) = -a + 9. Let q be t(0). Suppose 3*h + h - 3*k = -q, 2*k = -2. What is the units digit of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d**2 + 117*d + 9. What is x(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 28 = -3*i. Let o be ((-204)\/45)\/((-33)\/i + 2). Let y = o - -1481\/55. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 2. Let l be w(-5). Let v(y) = -5*y + 144. Let c be v(27). Let u be (-1)\/(c + 264\/(-30)). Sort u, -3, l in descending order.\nAnswer: -3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -1 + -2 + 2. Let o be r + -1 + (5 - 2). Let i(s) = -1 + 1 - o*s. Let d(g) = 3*g. Give 6*d(z) + 5*i(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13334 (base 5) to base 12\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-9)\/(-15)) + (-8)\/20. Let k be z - (-3 - -7 - 7). Solve -2*a + 5*a = c - k, 3*c + 4 = a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 14. Suppose j + 448 = 5*j. What is the greatest common divisor of p and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6332717 - 2987283. What is k rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53634, -214374, -482264, -857304, -1339494, -1928834?\n\"Answer: -53575*x**2 - 15*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -31, 39, 5, -3 in ascending order.\nAnswer: -31, -5, -3, -2, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(2736))**2*3.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244164.\nAnswer: 2, 13, 103, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 399\/1552630?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116132 + -560?\nAnswer: 115352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 8, h: 4, t: 6, p: 1}. What is prob of picking 1 m and 3 t?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + 2 + -2 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 5518.\nAnswer: 5521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + i + 2, -4*i + i + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85586 (base 13) to base 12.\nAnswer: -b7178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 28 (c) -4 (d) 324\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 48. What is the third derivative of -65*c**5 + 10*c**5 + 2*c + 7*c**2 - 16*c**5 - x*c wrt c?\nAnswer: -4260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2055649?\nAnswer: 5\/2055649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -4\/7, 2\/25, 4\/9 in decreasing order.\nAnswer: 4\/9, 2\/25, -2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 34 - 15*v - 57 - 75*v.\nAnswer: -90*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d - 3. Suppose 3*o - 36 = -5*j, 2*j = -j + 4*o + 10. Let c be s(j). Find b such that 1\/4*b**2 - 1\/4*b**c + 1\/4*b - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + 318. Let a = -11 + r. What are the prime factors of a?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 12 + 49 - 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 22, -7, 0, 5 in decreasing order.\nAnswer: 22, 5, 0, -7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 0.7, 4\/7, 4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*l**4*y**3 - 11596*l**4*y**2 - l**2*y + 10*l*y**3 - 1150*l*y - 3*y**3 + 17*y wrt l?\nAnswer: -4128*l*y**3 - 278304*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 7*f**2 - 4*f + 28. Let v be y(7). Let k(m) be the first derivative of v*m - 5\/2*m**2 + 7 + 2*m**3. Find the second derivative of k(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -9.8723?\nAnswer: 0.592338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 - 2*i**4 - i**3 + 2*i**2 = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566 + 1692 - 563 - 563 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, 246, 1086, 2700, 5346, 9282, 14766?\nAnswer: 22056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*w - 38 = 3*w, -5*l - 5*w = 115. Let k = l + 29. Calculate the least common multiple of 1 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = -2*o + 1, -18 = -2*s + 4*o. Let a(k) = k**3 - k**2 - 8*k + 2. Let w be a(s). Calculate the least common multiple of (12\/w)\/((-6)\/16) and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l**3 + l**2 - 1. Let n be p(-1). What is the highest common divisor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3318482 - 8*u + 3318482.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4)\/(i\/(i**(-2\/11)*i)))\/((i*i*i*i**(1\/13)\/i)\/i**(-3\/5)) assuming i is positive.\nAnswer: i**(-4601\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 36*w**3 + 3*w**2 + 17. Let v(u) = 12*u**3 + u**2 + 6. What is -6*f(x) + 17*v(x)?\nAnswer: -12*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*d + 637 + 1201 + 542 = 0 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*x - 26*x - 21*x)*(-8 - 15 - 119) - 2*x - 2*x + 2*x + 6*x - 4*x - 3*x + (x + 4 - 4)*(-4 + 4 - 1) - 2*x + 5*x - 4*x to n*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 43. Let f(l) = 53*l**2 + l + 1. Let c be f(-1). Let i = n + c. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6611 - 0.3389. Which is the biggest value? (a) 1\/11 (b) u (c) 0.2 (d) 188\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3142 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 36*r**3 + r + 7. Suppose 623 = 53*z + 48*z - 12*z. Let a(o) = 12*o**3 + 2. Give z*a(u) - 2*y(u).\nAnswer: 12*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/160 - 3*s**4\/64 + s**3\/4 + 68*s**2 + 38*s + 2. Let y(a) be the first derivative of o(a). Suppose y(l) = 0. What is l?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186656179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -289\nAnswer: -6\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 - 282*c**2 - 21*c**3 + 478*c**2 + c**4 wrt c.\nAnswer: 72*c - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**11)\/b*b*b**(13\/4) assuming b is positive.\nAnswer: b**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42.1 - 42. Let h = -5.8 + 29.8. Let i = -21 + h. What is the nearest to y in 1\/7, i, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*q - 5, -4*k + 108*q - 107*q = 31 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*j**3*z**3 + 2*j**3 + 3*j**2*z**2 - 22*j**2*z + 7 wrt z?\nAnswer: 1218*j**3*z + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 14 + 4)*(-3*m**4 + 10*m - 9*m + 0*m**4).\nAnswer: 54*m**4 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11255?\nAnswer: 5, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - 242) + 130 - (1 - -28) - -144?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 7:21 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -6*w - 25, 0 = -4*o - 5*w - 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n - 5. Let l(i) = -3*i. Let f(d) = k(d) - 6*l(d). Let b(u) = 6. Calculate 3*b(z) + 4*f(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndzz. What is prob of sequence nd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 260 + 4?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 56 = 2*u + 45, -40 = 5*t - 5*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 8860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 39\/2. Let u = 16249\/3 + -5333. Let j = u + -84. What is the third smallest value in j, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23942 divided by -5546.\nAnswer: -11971\/2773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 - 3 + 22*i)*(0*i**3 - 2*i**3 + 3*i**3).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 7, b: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83341300 and 248780.\nAnswer: 83341300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 times -7961?\nAnswer: -8295362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o + 1348. What is the smallest common multiple of 1 and o?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from jhhmhaxaaama.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -11*w**3\/3 - 9. Let z(b) = -b**2. What is q(z(s))?\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-2)\/(-11)) + (-182)\/(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3 + 4 + 2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 26443?\nAnswer: 26442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364 and 1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5695*l + 2905*l - 38 + 2782*l - l**2 as z*l + d + f*l**2 and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87167 is divided by 8712.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = h. Let x(l) = l**3 - 8*l**2 + l + 4. Calculate the least common multiple of 3\/h + (-9)\/(-1) and x(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxxtjuutxptux. Give prob of picking 1 x, 1 j, and 1 p.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -399211 divided by -391?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q = -6*q + 480. Calculate the remainder when 190 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3465 - 22763\/41580. Find the common denominator of 1\/486 and i.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -1\/8, 106, 3, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1316088 and 1944.\nAnswer: 1316088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*s - 81*s - s**3 - 2*s**4 - 76*s as b*s + d*s**4 + r + i*s**2 + j*s**3 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + ((-27)\/(-15))\/1. Let x = 14830.1 - 14830. Which is the smallest value? (a) -8 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 * -0.01\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10210 and 2832208055.\nAnswer: 5105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -65. Let n = -40 + k. Let x = 11 + n. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62073 divided by 4.\nAnswer: -62073\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2451173\/50 + 49021. Let v = r + -1\/25. Let s = -4.85 - 0.15. Put s, v, -9 in ascending order.\nAnswer: -9, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*a - 0*q + 2*q, 3*a + 11 = 5*q. Let g be (4\/(-5))\/(a\/60). What is the units digit of 4\/8*g\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-385*r + 8972 - 8972)*(-5*r - 6*r + 0*r)*(-r**2 - r**2 + 3*r**2) to y + m*r**3 + n*r + x*r**2 + w*r**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -48*f**2 - 5*f + 4. Let d(g) = 47*g**2 + 4*g - 3. Let c(z) = 3*d(z) + 2*n(z). Let i be c(1). Let t = i - 16. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25231.998 take away 1?\nAnswer: 25230.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 377*r**2 - 619*r + 8. Give p(2).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x - x**2 + 4 - x**2 + 6*x**2 - 2*x.\nAnswer: 4*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = 4*a - 5*b, 5*b = -5. Let i be (-42)\/4 + (-2)\/(-4). What are the prime factors of ((-4)\/(-10))\/(a\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 less than -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3745\/26 - -144. Let v = 22597007273\/1264 - 17877375. Let i = -5\/316 - v. Calculate the common denominator of g and i.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34029 and 16119?\nAnswer: 306261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*f*q**3 + 7*f*q + 187*f + q**2 wrt q?\nAnswer: -63*f*q**2 + 7*f + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**9\/252 - i**6\/3 - 29*i**5\/60 - i**4\/24 + 96*i**2. What is the third derivative of n(w) wrt w?\nAnswer: -240*w**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -194810.\nAnswer: 9\/194810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(3*(-5)\/3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Let u(p) = p**3 - 5*p**2 - 5*p - 1. Let q be u(6). Is f at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1751773040?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/(3*(-8)\/540)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Suppose 4*v - 3 = 1. Let d(m) be the first derivative of 0*m - 3\/2*m**2 - v. Give w(d(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100647 to three decimal places.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1611707\/251256 - -7\/8664. Let x = -269\/261 + j. Calculate the common denominator of x and -71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.189365 + -5.881\nAnswer: -61.070365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(-95))*108*(-113)\/(-91530)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17635*w + 17650*w + 0 + 0.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 2187.\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by -90?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q - 81 = -148*q - 1611 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6)*-3*-178. Let l = -87 + o. Solve 4*b + 18 = l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2459.99 - -2460. Put 2\/17, j, 0.42 in decreasing order.\nAnswer: 0.42, 2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10120202121111?\nAnswer: 10120202121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - v + 6*v = -50, -a - 25 = 4*v. Let c be (a - -3)*20\/8. Let x = 5 + c. Let i(g) = -g**2 - g + 9. Determine i(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10*s - 20 = 0. Let m be (3\/(-4))\/((-8)\/64). Find the common denominator of s\/m + (-1)\/18 and -125\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4576352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*u**3 + 24 - 14 - 10 - 6*u**2 wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 8008189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 33*l - 38 = -32*l + 11, -20*k - 2*l = 146 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(1235\/342)*15\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289 + 2313\/8. Let b = -1 + 9. Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37763 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/19 (b) -5 (c) -0.01 (d) -0.558 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -2445532?\nAnswer: 1222766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87.9 - -56. Round y to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 17}. Give prob of picking 4 z.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -40, -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -302 - -322. Suppose -4*n = -5*n + 12. What is the remainder when b is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444.26 litres in millilitres?\nAnswer: 4444260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (14 + 4 + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxbxbxxxbxx. What is prob of picking 4 x?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2150, -8809, -19954, -35585?\nAnswer: -55702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2681801 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -413.999999663 - -414. Round v to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3057, 6577, 10097, 13617, 17137, 20657?\n\"Answer: 3520*g - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 13*s**2 + 4*s - 1. Let c be j(-4). What is c rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110100010011010?\nAnswer: -110100010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864 is divided by 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -300, 0.1, -5 in descending order.\nAnswer: 0.1, -2\/5, -5, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33958270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63877, 63866, 63829, 63754, 63629?\nAnswer: 63442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 7*t - 5*l - 48 + 65, 2*l - 34 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000101514 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152\/957 - 2\/87. Which is bigger: t or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1429087*l**3 - 1908178*l?\nAnswer: 8574522*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 12. What is y(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2137, 8559, 19257, 34225, 53457, 76947, 104689, 136677?\n\"Answer: -m**3 + 2144*m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5803.159 decades?\nAnswer: 696379.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = 3. Let u be 2*i\/2 + 7. Suppose -3*n - 3*x + 27 = -u*x, -x - 7 = -n. Solve 4*c = c - 5*t - 5, -5*t = 2*c + n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000110001101101 (base 2) in base 14?\nAnswer: 52b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -60. Let u = -61 - q. Sort u, 3, 4 in decreasing order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -43 + 22 - -33.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 + 2\/11*h - 2\/11*h**3 + 2\/11*h**2 - 2\/11*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*m + 857*m + 91938 = -1100*m - 68151 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17530 + 17529.999975134. What is w rounded to seven dps?\nAnswer: -0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1810 - 402*p - 1810 to h*p + k and give h.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/36)\/((-1)\/3). Suppose q*y - 4*o + o - 80 = 0, -5*o = y - 53. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24)*-27)\/(11 - 425\/40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-j**3 - 82*j + 78*j + 6*j**3 - 3) - 53*j**2 + 48*j**2 - j**3 + 3*j**3.\nAnswer: -3*j**3 - 5*j**2 + 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120267.\nAnswer: 3, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:01 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - (1381\/(-7) + 7). Let h = l - -199. List the prime factors of h.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - -3) - (-4 + -13 + 3 + -21).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 107773 divided by -1\nAnswer: -107773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207645 and 2356035.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m - 61. Let o be j(-10). Solve o*w = 2*w + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 0, -4*q = -q - 2*y - 72. Calculate the greatest common divisor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = 4*g. Let j = -16 - -17.5. Let t = -2.5 + j. Put t, g, -3 in ascending order.\nAnswer: g, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6499, 13163, 20063, 27199, 34571?\nAnswer: 42179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 8*d - 8. Let g be u(-2). Solve -4*x = 7*f - 3*f + 12, 5*f + 15 = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4292613\/135 - (-3 + (-47)\/(-15))?\nAnswer: 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25788 divided by 2149?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:04 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3007090463 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 788823.021 + -7946.03.\nAnswer: 780876.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s**3 + 5*s**4 - 13*s**3 + (5*s - 3*s - 3*s)*(-2*s**3 + 2*s - 2*s) to the form d*s**2 + l + x*s**4 + z*s**3 + w*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17958409 > 17958412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.557085 * 1.7.\nAnswer: -7.7470445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6)\/(14\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/41633952 and -31\/8245.\nAnswer: 208169760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -1 (c) -0.1 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 234*f + 1678. What is n(7)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 18010011 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 35 = 3*s, t - s = -434 + 424. Let r = 28\/6599 - -31502590\/244163. Let a = r - 129. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 4*g**3 - 2*g**3)*((5 - 3 + 0)*(1 + 1 + 0) + 2 + 1 - 1).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169961957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0629931 - -3.43700498. Let l = -18 + 13.5. Let m = l + f. Round m to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*i**3 - 38*i**3 + 156*i**3)*(2*i - 4*i - 3*i)*(-2 + 2 - 6) to x*i + l*i**3 + u*i**2 + q + o*i**4 and give o.\nAnswer: 6690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31850294 + -0.05683984. Let n = -0.243668 + x. Let c = 0.018 - n. What is c rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.03 + 24.53. Sort 3, -3\/4, 2\/7, b in increasing order.\nAnswer: -3\/4, 2\/7, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h = 54*h - 4*h - 584 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/18)\/((-80)\/(-96))*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7378 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 - 136291*d**2 - 128399*d.\nAnswer: -6*d - 272582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**4)\/((q*q**(-1\/2)*q*q)\/q)*q\/((q**(2\/3)\/q)\/q)*q**(-2\/5)*q*q assuming q is positive.\nAnswer: q**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gahafggghgaggoogggr. Give prob of picking 2 h.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*b + 5*q, 2*b - 2*q + 0*q - 6 = 0. Suppose 0 = 4*v + s - 60, -2*v + 2*s + 2*s + 12 = b. Does v = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 0.2458\nAnswer: -0.1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 3. Suppose -f*y = -2*y - 2. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0197, -0.178, 0.2 in ascending order.\nAnswer: -0.178, -0.0197, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28.8246 - -351\nAnswer: 322.1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 233617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1872)*2*-4 + 2 + ((sqrt(1872)*-3)**2 + -2)*3 + -2.\nAnswer: -96*sqrt(13) + 50537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -41, 582, -82, -4 in increasing order.\nAnswer: -82, -41, -5, -4, -3, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.35 (b) -4 (c) -4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204)*2 - sqrt(204) - sqrt(204))\/(-5*sqrt(60)\/sqrt(5) + sqrt(12)))**2 + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 160*y - 1276.\nAnswer: -4*(y - 29)*(y - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41020 is divided by 68.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31*q + 3726. What is the smallest common multiple of g(-120) and 6371?\nAnswer: 38226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20 - s + 0*s - 12. Let h be g(8). Is -34*(52\/(-8) - h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -926909.\nAnswer: 4\/926909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/630 + 13*z**4\/42 + 169*z**3\/7 - 103*z**2. Factor n(g).\nAnswer: 2*(g + 39)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.07 - 16. Let y = -2.93 - x. Which is the smallest value? (a) y (b) -2\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0239*-0.4.\nAnswer: -0.00956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) 22 (b) -1\/6 (c) -4\/15 (d) 1.7 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 5*u**2\/2 + 10*u - 14. What is the tens digit of d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 84448 and 0.37?\nAnswer: 84447.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**3\/3 + 6*x**2 + x + 2. Let a be h(5). Suppose 69 = 3*q - a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 0*u**4 + u**4 - 2*u**4)*(-4 - 3 + 8).\nAnswer: -u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + 31*p**3 + 30658*p**2 + 11*p**3 - 15325*p**2 - 15333*p**2.\nAnswer: 51*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62833663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10946 - 10460 = 27*l. Suppose -5*a = -5*n + n + 18, -2*n + a + 6 = 0. What is the greatest common divisor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.46 + 1.86. Which is the fourth smallest value? (a) -2\/13 (b) -1 (c) -1\/24 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/6))**(-13) assuming c is positive.\nAnswer: c**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2. Let u(f) = f**2 + 2*f + 2. Let n(i) = -5*i**2 - 9*i - 9. Let z(x) = 2*n(x) + 9*u(x). Give z(p(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2712 and 12?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 14) to base 13\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 19 = -b. Suppose -b*n - 4 = -n + t, -n + t = -4. Solve 2\/7*v + 0*v**2 + 2\/7*v**5 + 0*v**4 - 4\/7*v**3 + n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -15. Let y(t) = -3*t**2 - 13*t - 6. Let j(a) = -a**2 - 1. Let z(b) = 4*j(b) - y(b). List the prime factors of z(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -25 + 0*t**2 + 0*t**3 + 0*t**4 - 8*t - 9\/5*t**5. Differentiate b(q) wrt q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/316 and -41\/88503068.\nAnswer: 88503068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 176 = -4*t, -7*s = -3*t - 3*s + 160. Suppose 11*p + t - 268 = 0. What is the greatest common divisor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9, 4*w = -0*w + 4*d + 4800. Let n = w + -413. What are the prime factors of n?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68\/5 - 14. Let k = 41 + -25. Suppose 0 = y + 4*s + 6, 2*y + 5*s + k = 5*y. What is the second smallest value in 5, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36997695 by 2397.\nAnswer: -15435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 58 - 32 = 0. Suppose -2*a - g = -17. Let i(u) = 39*u - 2. Is i(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = 145*q - 175*q. Calculate the remainder when -4 + 8 - 0\/(-2) - -123 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {y: 2, a: 4, b: 2, t: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 53. Suppose 0 = -10*r + d*r + 42. Let o(m) = 15*m + 8*m + 3*m - r*m. Let q(i) = -2*i**2. Give q(o(c)).\nAnswer: -800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94\/14 + 6\/21. Suppose x*u = 3*u + 24. Suppose 3*b + t - 6 = -0*b, -3*b + 3*t = -u. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792920 and 1784070?\nAnswer: 7136280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwb when three letters picked without replacement from riribiw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**5 + 3*r**4 - 2*r**2 - 3*r + 1. Let d(w) = -w**5 - w**4 + w**2 + w. Let k(y) = -a(y) - 3*d(y). Find the third derivative of k(i) wrt i.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154971786 rounded to the nearest 1000000?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - -7. Let i = -9 - -5. Calculate the remainder when m is divided by (-372)\/(-28) - i\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 48. Let z be 6\/9*(34 + 2). Let k(l) = z*l - 44*l + 22*l. Calculate q(k(m)).\nAnswer: 2*m - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -2*sqrt(76) + 5*sqrt(19)*1 + 0)**2 + 0.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 3*s - 1. Let a(v) = v**3 - 13*v**2 - 16*v + 33. Let i be a(14). What is f(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, h: 5, n: 3}. Give prob of picking 1 n and 1 h.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/26 - 3498\/(-286). Let a(f) = 2*f - 6. Let u(l) = l + 2. Let v be u(2). Let n be a(v). Solve -n*m = -5*m + o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5*p + 7325*g**4*p - 2*g**2*p + 20*g**2 - g*p + 7 wrt g?\nAnswer: -180*g**2*p + 175800*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2) - 1) + 7. Suppose -h = -2*d + h - 6, -g*d = h + 12. What is the closest to -4 in d, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*p + 106079*a + 310*p**4 - 5*p**3 wrt p.\nAnswer: -3*a + 1240*p**3 - 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:05 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + (sqrt(1100) - (-5 + -2 + sqrt(1100))) + ((sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100)*3)) + sqrt(1100))*6)*-1)**2.\nAnswer: -2380*sqrt(11) + 317949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*g - 8, -5*y - 2*g + 4 = -g. Suppose 3*j + 0*q = -4*q + 109, -3*q + 150 = 4*j. Suppose y = 2*w + m - j - 24, 6 = -2*m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791956 divided by -4.\nAnswer: -197989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010101000 + -10?\nAnswer: -1011010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2812 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 - 213. Suppose -32 = -2*b + 28. Let y = b - 18. Calculate the smallest common multiple of y and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0 = -5. Let p(l) = -g - 4*l - 3 + 0*l**2 + 5*l + l**2. What is the units digit of p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 - 231 = -11*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -9*s**5\/20 + s**4\/3 + s**3\/3 - s**2\/2 - 3*s. Is k(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 374*h - 6975 = -11*h + 117*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.084, 23 in decreasing order.\nAnswer: 23, 0.5, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 - 2*b - 8. Suppose -135 + 57 = -31*s + 139. Let y(r) = -10*r**2 - 7*r - 25. What is s*z(u) - 2*y(u)?\nAnswer: -u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3873640 and 60?\nAnswer: 11620920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26353359 rounded to 4 dps?\nAnswer: -0.2635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 - 10 = -3*q, -5*q + 23 = 4*r. Solve -7 = q*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/3 + 2081338*x**3\/3 + 240669506698*x**2 + 83493786717177454*x\/3 + 1669586947585895480\/3 = 0 for x.\nAnswer: -346883, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 40*w + 3. Determine a(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60288 and 5024?\nAnswer: 60288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/161 - 9\/23. Which is the third biggest value? (a) -5 (b) q (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30033 is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124.3 (b) -5 (c) 2\/17 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8069177, -32276720, -72622625, -129106892?\n\"Answer: -8069181*x**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from kkookokk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6036338 divided by -317702?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -1.31 (c) -19 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 5 + 3 + 1)*(2 - 6 + 2).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/8844756 and -89\/253743?\nAnswer: 61913292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 5*n**4 - n**3 - 17*n**2 + 12*n.\nAnswer: n*(n - 1)**2*(n + 3)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 21. Let x be c(0). Let d = x + 16. Let v = d + -26. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q - q**2 - 31*q + 15*q + 2*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 167 = 6*k - 7*k, -476 = -3*k - 4*n. Calculate the remainder when k is divided by (23 - 6)\/(1\/3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 6*y + 324. Let p = y - -73. Solve 2*a - p*v + 28 = 0, 2*a = -0*a + 3*v - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1, b: 2, j: 1, p: 1}. What is prob of sequence cp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -471756069*d - 444359180.\nAnswer: -471756069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25474150 divided by -1018966.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*f - 112*f = 98*f + 127*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*y - 2*o + 6*o, 4*y + 84 = -o. Let m = y - -121. Suppose 5*u - 327 = -127. Calculate the greatest common factor of m and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92827 - -65827. Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-161)\/21)\/((-1)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 439.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(540)*-1)\/sqrt(12)*5*-3.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5 + 13 - 2)*(-1 + 1 - x).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745930866 divided by 6.\nAnswer: 124321811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2425102 to the nearest ten thousand.\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 1, y: 4, a: 1}. What is prob of picking 1 y, 1 a, 1 v, and 1 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -75, -4, 152\/9, 3, -1\/8?\nAnswer: 152\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-4)\/16 - (-2)\/4. Solve 10*b - 9*b**3 + 15*b**4 - 18*b**2 - 5*b**5 + d*b**5 + 3*b**2 + 4*b**3 = 0 for b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 6*k + 8*v - 18 - 66 = 0, 6*v - 2*v + 4 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9231, 18460, 27689?\n\"Answer: 9229*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.479?\nAnswer: 0.0479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645842 is divided by 161449.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 33. Let g = -6401231.000046 + 6401192. Let z = g + d. Round z to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/30 + u**4\/9 - 7*u. Find j such that d(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 453228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*k - 190, k - 4*h = -k + 182. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, -1\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, p: 3}. Give prob of picking 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. Suppose -4*m + 188 = 5*d - 2*m, -2*d - 3*m = -73. What is the remainder when d is divided by k\/(-2*(-1)\/(-13))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -7, 1\/10, -1\/3, 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**3 - 2*u**2 - 2*u - 1. Let a be o(-1). Suppose 0 = -3*x + a + 3. Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -5*q + 4\/3*q**3 + 0*q**2 + 1\/4*q**4 - 40. Calculate d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-14)*(-441)\/126. Solve v*a - 1 = -4*y - 3, 0 = -2*y + 2*a - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -s - 4, s + 6 = i + 5. Let k be (-3)\/((6 - s)*1). What is the second biggest value in -2, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8148 is divided by 4057.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 21 (c) -38\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 10*q - 127. Let d(i) = -i**3 + 116*i**2 - 863*i - 102. Let f be d(108). Calculate t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/34*2465\/580?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-308)*1034\/1410\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1481, 2213, 2945, 3677?\n\"Answer: 732*l + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 2*s + 80 = 0, 0 = -79*a + 83*a - 2*s - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*t - 27, 0*t = t + 4*v + 6. Suppose -4*h = -2*h - 5*m - 27, 0 = 4*h + 2*m - 42. What is the smallest common multiple of h and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/21 greater than or equal to -3409.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 36, 92, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {z: 2, d: 1, c: 2, m: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 + 129*m**2\/8 + 8*m + 4643. Find r, given that c(r) = 0.\nAnswer: -32, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, n: 6, z: 1}. Give prob of sequence hznh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1657 + 1658. Which is the biggest value? (a) -0.008 (b) z (c) -0.3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -141, -213, -285, -357?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-186)\/651 - 597\/(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38313501, -38313499, -38313497, -38313495?\nAnswer: -38313493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f. Suppose 6*c - 3*c + 4*z - 24 = 0, f = 5*c - z - 40. Suppose 6*w - c - 4 = 0. Calculate the smallest common multiple of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-385) + 60\/105?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83058606 at least as big as -83058606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342455 + 342455 + 384*m to u + b*m and give b.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50849000 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031841.3 minutes to hours.\nAnswer: 17197.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-945)\/210)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2019997767783\/3460 + -583814392. Let v = d + -2\/865. Let y = -142\/3 + 33. What is the common denominator of y and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 51*i**2 - 78*i + 15362. What is x(45)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 15. Let k be l(6). Let n be 0*(-1 - k)\/(-2). Is 1\/17 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 5, -185, -20, 0 in descending order.\nAnswer: 5, 0, -20, -185, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/175*119\/(-85))\/(((-570)\/(-400))\/(-19))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v. Suppose s + v*s = 5. Let j(g) = g - 8. Let d(c) = 7 - 5*c + 3*c + c. Calculate s*d(i) + 4*j(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*c + 169*c - 72*c - 851 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 88700.\nAnswer: 17740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/2 (b) 2\/3 (c) -17 (d) -4 (e) -1\/152 (f) 2 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1133 + -5?\nAnswer: 112e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/171, 4, -15?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:55 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:16 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 4. Let k(u) = 26*u + 29*u - 54*u. Calculate r(k(j)).\nAnswer: 4*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i + 3328 = 118*i + 51*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from {y: 3, p: 4, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:33 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 281. Let j(m) = m**2. Give j(t(f)).\nAnswer: 100*f**2 - 5620*f + 78961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -3\/2, 0.1, -6, -5\/2 in increasing order.\nAnswer: -7, -6, -5\/2, -3\/2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 4. Let k be m(0). Suppose -7 = -j - q - 2, 2*j - q = 1. Suppose 0*l + 30 = 2*l - 3*z, -34 = -j*l + k*z. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 32, -6, 5786 in decreasing order.\nAnswer: 5786, 32, 31, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40\/153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732.52 + -769. Let o = v - 3.72. Round o to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1036 divided by -259.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561 divided by -451.\nAnswer: 51\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56974 times -2?\nAnswer: -113948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y + 2 = 0. Let l = 1 + -0.6. Let z = -0.3 + l. What is the nearest to z in y, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.43 - 3.57. Suppose -6 = 2*p - 5*k, 0 = -5*k - 0*k. Sort a, p, -0.3 in ascending order.\nAnswer: a, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57440227 and 44148?\nAnswer: 689282724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, -605, -2199, -4443, -7337, -10881?\nAnswer: -15075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -74558*v - 72537*v + 137693*v in the form y*v + l and give y.\nAnswer: -9402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 1490*s**2 - 1485*s = 0. What is s?\nAnswer: -297, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 6*v - 3. Let l be u(2). Let h(k) = -l*k - k + k + k. Let c(a) be the second derivative of -a**3\/3 - a. Determine c(h(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 66. Calculate m(-44).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose t*m + 0*m = -35. Let y(g) = -g**3 - 7*g**2 - 2*g - 10. Calculate the lowest common multiple of y(m) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95\/77 + -10\/7. Find the common denominator of l and 37\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.32, 0.5, -3, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 0.2. Suppose 2*f + 0*f = 2*k + 4, 0 = -5*f - 5. Let i = 195 - 781\/4. What is the nearest to 1 in k, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/10 - (-144)\/(-60)) + -2. Let u(q) = -3*q**2 - q**2 - 6 + 0*q**3 - 2*q - q**3. Let b be u(s). Solve -j = -b*m + 8, 6 = 4*m - j - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899428628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163 or 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 2*x**2 + 5*x - 7. Let f be h(3). What is the second smallest value in f, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5539.4778 - 5539. What is m rounded to two decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 - 4*d + 13. Let f be u(16). Suppose 4043 + f = 10*n. Determine v so that n*v**3 - v**5 - 731*v**3 + 0 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 20*y**2 - 15*y - 35. List the prime factors of r(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103425 divided by 168.\nAnswer: -4925\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 73*x**2 - 1091*x - 96. Determine y(15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*b + 1891*b + 6 - 632*b - 8 - 622*b.\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11826\/3827 or 3?\nAnswer: 11826\/3827","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*0\/(-2). Suppose x = -i + 7 + 13. Calculate the common denominator of ((-2)\/i)\/(4\/174) and 119\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*l + 4 - 284, -2*d + 186 = 2*l. Factor 3*g**3 + 9*g**2 + 72*g**2 + d + 585*g + 413.\nAnswer: 3*(g + 1)*(g + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80051, 159950, 239849?\nAnswer: 319748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/5390*21)\/(1\/14).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25.19 and -51499064.796?\nAnswer: 51499089.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 + 2*k + 3. Let v = 5 + -8. Let o be t(v). Let g(y) = y**3 - 4*y**2 + 6*y + 1. Let p(j) = j**2. Let f(b) = -g(b) + 3*p(b). Give f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 10*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = -4*q, -2*c - 3*q + 20 = -c. Let s = 2 - c. Let x(a) = -a + 1. What are the prime factors of x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 5*v**4\/12 - 45*v**3 - 345*v. Factor k(s).\nAnswer: 5*s*(s - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 591 (b) -3\/41 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {x: 1, s: 3, t: 1, m: 3, n: 3, f: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 10*f + 24*f - 10*f. Let n(p) be the first derivative of -1\/3*p**3 + 0*p + 2 + 0*p**2. What is q(n(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 11. Let g be r(11). Suppose -4*b = -g - 36. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2. Suppose 15 = k + 3*r, 4*r + 25 = 3*k - 46. Let s(m) = -m + m + k*m. What is v(s(n))?\nAnswer: 882*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(0*k**2 + k**2 + k**2) + (0*k**2 + 2*k**2 + 0*k**2)*(206 + 63 - 63) in the form y + g*k**2 + z*k and give g.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -939 divided by 46\nAnswer: -939\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 2. Let y be s(9). Suppose 3 + 4 = y*i. What are the prime factors of (1\/(i\/(-4)) - -4) + 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4494 - 4126. Calculate the remainder when g is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 5)*791\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9844812.\nAnswer: 2, 3, 19, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167767 is divided by 27939?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -652, -691, -754, -847, -976, -1147?\n\"Answer: -y**3 - 6*y**2 - 14*y - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + 15\/((-495)\/(-28)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 39. Let a(b) = -b + 7. Let u(x) = 5*x + 28. Let p(n) = -4*a(n) + u(n). Determine p(q(w)).\nAnswer: -9*w**2 - 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 + 3*c**2 - 6. Let r(z) = z + 1. Let d(m) = 6*r(m) + 2*u(m). Let s(w) = -5*w**3 + 2*w**2 + 2*w - 2. Let t(x) = 3*d(x) - 8*s(x). Factor t(j).\nAnswer: -2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 4 - (-14 + -15 + (-31 - -56)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/1989 and 139\/378.\nAnswer: 83538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -485. Suppose 4*t - 17*t + l = 0. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:02 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - f + 1. Let q be r(1). Let j be (4 - 3) + q\/9. Put j, 0.1, 1 in ascending order.\nAnswer: 0.1, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-14) - 0) + (-90)\/(-21). Suppose 2*q + k*w - 10 = 0, w = 4*q - 4 + 11. Which is greater: q or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2 + (-86)\/4. Let g be -3 + 2 - y\/4. Solve 9*u = g*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 8, 126, -2 in decreasing order.\nAnswer: 126, 8, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -60226 * 0.6\nAnswer: -36135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 36.33139.\nAnswer: -10.899417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6339 is divided by 6099.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13491+1.575\nAnswer: -13489.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 + 853*t**2 - 2131*t + 5999. What is m(-429)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -32. What is the closest to 1 in d, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-202 + 85 + 74 + 83)*(-2*g + 4*g - 3*g).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2301057 divided by -767019.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 9*a - 1. Calculate t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -2*x + 6*k - k, -5*k + 37 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1191819 and 2278.\nAnswer: 159703746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 9126741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -351605 to the nearest 1000.\nAnswer: -352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3483.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2744 - -112?\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w*x**6 + 55*w*x**5 + 13*w*x - 2*x**3 + 15*x**2 wrt x?\nAnswer: 240*w*x**3 + 3300*w*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -46?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Let u(k) = -780*k**2 - 32 + 61 - 31. Determine u(p(w)).\nAnswer: -3120*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -11. Let r = l + -15. Which is bigger: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 6*p**2 + 4. Let t be w(-6). Let l(f) = f**3 - 3*f**2 - f - 2. Let v be l(4). Suppose -t*g + v = -2. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153, -152, -151, -150, -149, -148?\n\"Answer: t - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -1 - (6\/(-20) - 1767\/(-190)). Let l be (-54)\/50 + (-2 - -3). Which is the nearest to -0.1? (a) f (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n + 4 = 0. Let r(z) be the first derivative of z**3\/3 + z**2 + 2*z + 2. What is r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-1)\/(1\/(-3)). Suppose 0*p - u*p = 0. Suppose k + 0*k - 35 = p. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 0 (c) 1\/2 (d) -0.2 (e) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/(-1)*13\/(-3055)*-47\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/9*81\/(-18). Suppose k*m = 378 - 150. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x - 21. Let z = x + 23. Suppose k = 5*k. Solve k*y - 5*y = -5*s, -y = z*s - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-11)*(-5786)\/(-110460)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let g(z) = 5 + 0*z - 5*z - z**3 + 6*z**w + 0*z. List the prime factors of g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -3\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 259602?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/5 - 4\/5*q**2 - 32\/5*q.\nAnswer: -4*(q + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + b8295?\nAnswer: b8290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -3. Let w = -15 + p. Which is smaller: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:19 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(20) + sqrt(5).\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:10 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 4*v**4 - 3*v**4)*(43*v + 42*v - 34*v + 26*v).\nAnswer: 231*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2 - 2)*(n - 5 + 5)*(-7*n + 42 - 42) in the form b*n**2 + j*n**3 + w*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:12 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11505530 to the power of 1\/2, to the nearest integer?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-34) + 11\/2. Solve u*n - 1 + 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/21 and -58\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.2, -14.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 303 - 300. Let l = -0.5 - 1.5. Which is the nearest to -3? (a) n (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(208) + 0 - (-4 + 1*sqrt(208))) + 3*(6*(1*sqrt(208) + sqrt(208)) + sqrt(208)))*2)**2.\nAnswer: 3744*sqrt(13) + 1265508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/98, 0.05, -3726.\nAnswer: -3726, -1\/3, -1\/98, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -63518167?\nAnswer: 63518165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3982 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-14))\/((-16)\/(3072\/36))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -7*r**4\/4 + 4*r**3 + 66*r. What is the second derivative of b(u) wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-176)*-22*-1*9\/((-792)\/(-16))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.659 - 0.259. Sort -1\/5, 8, d in ascending order.\nAnswer: -1\/5, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p - 34. Let k be m(9). Let y = k - 33. Let u = 50 - y. Which is smaller: u or 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -28. Let l = r + -7. Which is the nearest to -1? (a) l (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*c - 2*c = -24, -2*v + 3*c = -20. Suppose 2*k - 5*t - 20 = 0, 5*t = -5*k + v*k - 5. Solve 0 = -4*s - k - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q*v**2 + 544839*q*v*y**3 - 14*v**2*y**3 + 1953286*v**2 + 2*y**2 with respect to q.\nAnswer: -4*v**2 + 544839*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -358804*f. Let d(b) = -637*b. Calculate d(w(j)).\nAnswer: 228558148*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Suppose -5*u + 11 = -4*t, -3*t - t + 10 = 2*u. Let o(k) = -t + 5 - 3 - k. Let j(z) = -2*z + 1. Let f(w) = 3*j(w) - 3*o(w). What is f(m(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 17\/52 (c) -2 (d) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f**2 - 2*f - 2. Does 14 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Let l(v) = v - 2. Let h be l(i). What are the prime factors of (4 + (-7)\/h)*-10?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f. Let u(a) be the second derivative of a**4\/6 + 2*a. What is h(u(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 675 - 279. Calculate the common denominator of -17 and 1096\/m - (-4)\/(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1331913 and 6?\nAnswer: 2663826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7740)\/81)\/(-43) + (-2)\/9. Let i(a) = -4 + 1 + 0 + 7*a. Calculate i(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 96705, 0.1, 2 in descending order.\nAnswer: 96705, 2, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10660 = 1099*t - 279*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -c - 0*c - 23, 5*m = -4*c + 33. Let z(h) = -4*h**c + 3 - h**3 - 1 - 2*h + 0*h. Let x be z(-4). Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29196 less than 29196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2322?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**2 + 0*m**3 + 3\/4*m**4 + 5*m - 3. Differentiate b(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*q - 10. Let z be (-6)\/12*q + 30\/4. Solve -u + 6*u + 3*p + z = 0, u + 6 = 4*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-344)\/(-58) + 44\/(-22) + -4. Let p(n) = -n**2 + 2*n. Let c be p(2). Is h at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26838 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2 + 2861355*n - 2861360 = 0.\nAnswer: -572272, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26, 109, 248, 443, 694, 1001, 1364?\n\"Answer: 28*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (2 + 5)) + 6 + -48 - (-65 + 59)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -685*i + 154 - 4*i**2 + 349*i + 336*i in the form a*i**2 + l*i + p and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/((f\/(f*(f**(-2\/17)\/f)\/f))\/f))\/f*f*f)\/(((f*f**(1\/9))\/f)\/f))\/(f\/(f*f**(1\/4))*f)**(5\/2) assuming f is positive.\nAnswer: f**(1097\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 11*n - 216. What is x(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.486109 - -6.\nAnswer: 6.486109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -20, -23, -26, -29?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u - 11\/24*u**6 + 0*u**5 + 0 - 1\/6*u**3 - 1\/24*u**4 + 10*u**2. What are the prime factors of r(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38201, 150144, 336715, 597914, 933741?\n\"Answer: 37314*j**2 + j + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -1)*11\/33. Suppose 44 = n*m - 2*t, 2*m + 4*t - 40 = 16. What are the prime factors of (m\/15)\/((-9)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59423 is divided by 494?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44888\/51 < 880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 0.442?\nAnswer: -0.6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axaa when four letters picked without replacement from {x: 1, a: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, q: 1, t: 1, f: 3, h: 2}. What is prob of sequence ef?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) -59 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13.6, 4, 805, -2?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k*k**(-1\/5)*k)*k*k**(3\/4))**(-1\/82) assuming k is positive.\nAnswer: k**(-19\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 267 (b) -2\/19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 620?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + l**2 - 5*l**2. Let i(u) be the first derivative of -u**5\/40 - 4*u**3\/3 - 7. Let w(d) be the third derivative of i(d). Calculate m(w(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxlcyyyuuyyuyd. Give prob of picking 1 c, 1 d, and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1644)\/16)\/(-3) + (-1)\/4. Differentiate -b - 9*o**3 + 55*o**3 + 78 wrt o.\nAnswer: 138*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37466b0 (base 12) to base 4.\nAnswer: -221023101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:26 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*k**5 - 2*b**2*k**2 + 6*b**2*k + 3290*b*k**5 - k**2 - 58*k wrt k.\nAnswer: -60*b**2*k**2 + 197400*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**4 - y**3 - y**2 - y + 1. Let x(w) = -5*w**5 - 5*w**4 - 70*w**3 - 25*w**2 - 25*w + 25. Let h(c) = -25*o(c) + x(c). Factor h(b).\nAnswer: -5*b**3*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108521425?\nAnswer: 5, 191, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.08, 0, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = 30 + 24. Solve 3*q + 3*k + 14 = -4, q = 3*k + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*l**4 - 2*l**3 - 192*l**2 + 2635445*l.\nAnswer: -792*l**2 - 12*l - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 5*v + 2*v + (3 - 4 + 7)*(4*v + 0*v - 5*v))*(138*v + 18*v**2 - 138*v)*(-3*v + v - 2*v).\nAnswer: 360*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/3, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from diipwiiiiiiriiwrr?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560990029.\nAnswer: 103, 199, 76157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from nhkhnnnhnknnnhnnhh?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 1, r: 2}. What is prob of sequence rrm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22424022 - -1?\nAnswer: -22424021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 + -170. Suppose -3*x + 5*x = 2*m + 794, 0 = -j*x + 3*m + 1983. Is x a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586654?\nAnswer: 2, 3, 23, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54758, 109678, 164582, 219464, 274318, 329138, 383918?\nAnswer: 438652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 + 3 = -j, 3*j + 4*a = 14. Solve -l = j*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*b + 3, -4 = -4*b + 2*p + 2. Suppose b = z - 4 - 0. Suppose -2*k - 3*l + 136 = 0, k + 3*k = z*l + 232. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 5*n**2 + 14*n + 27. Calculate a(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) + 1\/4. Let j = n - 1. Suppose t - 2*t = j. Solve 4*o + 7 = 3*s - 8, -4*s - 4*o - 8 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a minute in milliseconds?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -7*x**4\/24 - 59*x**3\/6 + 22*x**2 + x. Let d be r(-9). Solve -2*q = -0 - d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u**(-6)\/u)*u*(u*u\/(u\/u**5*u))\/u*u**(-4\/11)*u\/(u*u*u**(1\/2)*u)*(u**(-11)\/u**(-1\/9))**13 assuming u is positive.\nAnswer: u**(-25823\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122\/231 - 8\/33. Suppose -8 = -5*y + f - 1, -y + 4*f + 9 = 0. Let g = -3.7 - -1.7. What is the closest to g in s, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = 3*a. What is the third derivative of -107*r**2 - 144*r**2 - 75*r**a + 134*r**2 wrt r?\nAnswer: -1800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -53. Which is greater: b or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*i - 20, 5*r + 5*i - 6 = -26. Suppose s + r = -1, 5*z = -5*s + 35190. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-10))\/(16947\/1345)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 8:56 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 3*f**2 - 5*f + 6. Determine d(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -31997\/43034 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from ewxaeqha.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 - 117*y**4 - 1674*y**3 - 10086*y**2 - 17523*y + 29403 = 0 for y.\nAnswer: -11, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/(-5))\/(-2))\/32*-4*(-26)\/312.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1.3, 0, 5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 2\/11 (c) 2\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37392349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u**3 - 4*u**2 - 3*u - 4. Let h be n(-3). Suppose -4*g + 4*y = -328, 4*g + 3*y - h = -0*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11538036 to the nearest integer?\nAnswer: 3397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -12. Calculate the remainder when 95 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -35. Determine r so that -34*r**p - 14*r**2 - 8*r**5 - 16*r + 4*r**5 - 52*r**3 - 24*r**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1824, -1769, -1714, -1659?\n\"Answer: 55*j - 1879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11434 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19341*p = 19398*p - 5700. Calculate the remainder when 20097 is divided by p.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l - 34. What is a(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 + 597008*i**2\/3 + 44552916010*i\/3 + 89103444004\/3 = 0 for i.\nAnswer: -149251, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43411124 + -2?\nAnswer: 43411122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 129 + 101 + 2*m. Suppose -147 = 11*v + 18. Determine o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-21)\/(-324))*(-42)\/(-12). What is the greatest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) 0.4 (c) 1 (d) 10 (e) -20\/51 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*a - 4*a + 186 = 0, 3*i - 3*a - 276 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 28 = 44. Suppose -4*z - 5 = z, m*r - 3*z = 7. Determine w so that 1\/3*w**3 - 2\/3 + 0*w**r - w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1989863 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16417, 11, 3\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 165\/6*24\/10. Let h be 26\/22 + (-12)\/k. Let i be ((-35)\/21)\/(h\/(-3)). Solve -i = -5*a, 5*o + 19 = -5*a - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-187)\/(-22) + (-54)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 112*i - 10. Let g be u(1). Let t = g - 80. Solve t = 2*o + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*4)\/(sqrt(2) - (sqrt(2) + (sqrt(288) - (sqrt(288) + (sqrt(288)*2 - sqrt(288)))))).\nAnswer: 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1970*s + 3937. Let j be l(2). Which is the closest to 7? (a) j (b) 1\/7 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1986372 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*u + 3668 + 5442 = -2128 + 438 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.421 (b) 0 (c) -1\/4 (d) 57 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 minus -205850?\nAnswer: 205849.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 801, 3160, 7093, 12600?\n\"Answer: 787*o**2 - 2*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1090205.\nAnswer: 436082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*l - 13. Suppose -a = l - 9. Let n = a - 1. Solve -2*f = -3*x + 15, 3*x = -5*f + n*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9398.353 to the nearest integer.\nAnswer: -9398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + (-35)\/(-28). Is 23 - ((-2)\/(-2) - o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253.4 + 349.55. Round w to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -144. Let t be 209\/n - (-2)\/7. Let i = t - 3. Solve -4*x - 3 + 19 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 13 = -2*n, -3*n + 12 = 3*p - 0*n. Solve 0*b + p = 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 p, and 1 z when four letters picked without replacement from ipililpzeippzpilipp?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 0*d**5 - d - 1\/6*d**3 + 0 + 0*d**2 + 0*d**4 - 1\/21*d**7 + 0*d**6. Find the second derivative of q(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 + 2 + 5 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4957 - 4957.000001195. What is t rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/107460 and 41\/2340.\nAnswer: 1396980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5324799 micrograms to tonnes.\nAnswer: 0.0000000000005324799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 11*f - 30. What is a(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51304 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k. Let r(a) = a - 3*a - a + a. Give r(f(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1604606*m**5 + 337106*m wrt m?\nAnswer: -32092120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 6*x - x)*(3*x**3 - 6*x**3 + 2*x**3) + (42*x + 9*x + 32*x)*(x**3 + 161 - 161).\nAnswer: 81*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(26\/(-4) - -5). Suppose 53 = -f*x - 5*u, 4*u - 31 - 45 = 5*x. Is x at least -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7102887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*g + 289, -118*g - 101 = u - 115*g. Sort 3, -17, 4, u, 0.\nAnswer: u, -17, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/18)\/(46\/46)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186466 (base 10) to base 14.\nAnswer: -4bd50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8717043 is divided by 299?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cbbcbbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2610659 and -11\/80.\nAnswer: 208852720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (26 - -17) + 22 + 3\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 436 and 40?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 + 224.3. Which is the biggest value? (a) 0 (b) i (c) 0.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000221 + -1011021?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 20. Let j = -28.000012 + h. Round j to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17412, 17394, 17350, 17274, 17160, 17002, 16794?\nAnswer: 16530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 62146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -97 - -43) + (-2 - 12 - (-1 + -2))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 30 - 30 = 0. Solve 2*d = -d - b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89353687 divided by 2882377.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3240\/23760)\/((-3)\/11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(3\/7)*z**11*z*z*z\/z**(-12\/11) assuming z is positive.\nAnswer: z**(1228\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 131008858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26+-1318913\nAnswer: -1318887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/sqrt(2))\/(sqrt(72)\/sqrt(3)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/2*(-10794)\/8481\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0274 - -0.5234. Let v = -0.576 + t. Is v > 1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 11:15 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/6 - 22*(-16)\/(-264)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let b = 18 + t. Solve 2*s + b = 7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 31*i - 11. Let w be t(15). Solve -w*k + 17 = 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21599339 and 0.3.\nAnswer: -6479801.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g**2 + 3*g - 2. Calculate p(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*u + 9. Solve u*j - 7 = 5*t, -5 = -j - t - 0*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and 85\/188.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -7 - -1) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/22 + -81\/154. Let u(j) = -j - 5. Let l be u(-5). Let n be (3 - l) + 25\/(-5). What is the nearest to 2\/13 in n, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-44 - -67) - 122\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.2, -2\/29, 6, -3\/4, 0.2 in ascending order.\nAnswer: -1.2, -3\/4, -2\/29, 0.2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0696 in 1\/3, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023865 take away -1.94?\nAnswer: 2023866.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 422729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84) - sqrt(84))*6)\/sqrt(12).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/((-8)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 11*c**2 - 6*c + 8. What is o(12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 times -322?\nAnswer: -3.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21720777 to the power of 1\/2, to the nearest integer?\nAnswer: 4661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:40 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1594 + 1600 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 8. Let j be c(-5). Is (-2672)\/(-7) - 2\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 3, n: 3, c: 1, t: 3, s: 3}. Give prob of picking 1 a, 1 t, and 2 s.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:48 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -6\/7, -4, 0.2, -53\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 7:09 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2051, -21117, -72945, -173939, -340503, -589041, -935957?\nAnswer: -1397655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31167525 is divided by 1411?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**5\/20 - l**4\/12 - l**3\/6 + 7*l - 22. Let u(o) be the first derivative of d(o). Calculate u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 16*n - 3*g = -12, 3*n + 14 = g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351 (base 6) to base 10.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5*p - h**3 - 3*h**2*p - 3*h*p - 10*h wrt h?\nAnswer: -40*h**3*p - 6*h - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*q = 8, 4*b + 5*q - 9 = 5. Suppose 4*p = 3*p + b. What is the least common multiple of 8 and 2 + p + -1 + 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.78 and -1.6.\nAnswer: -1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2682.9? (a) -4 (b) 61 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*i = -6*i + 21, 0 = x - 5*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10154293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13904043, 27808066, 41712093, 55616124, 69520159?\nAnswer: 83424198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907744 minus 2.8523?\nAnswer: 1907741.1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 31 + 11. Let z(c) = -c**3 + 6*c**2 + 6. Let v be z(6). Suppose -x*o - 22 = -v*o. What is the least common multiple of o and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 - 76*h**2\/7 - 598*h\/7 + 676\/7.\nAnswer: -2*(h - 1)*(h + 13)*(h + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Let x be 4\/(-34) - 771\/(-51). Suppose -3*c = -6*c + x. Solve -2*w - 4*o = a*w + 8, c*w - 5*o = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7914776 to the nearest integer?\nAnswer: 2813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/((-3)\/(-4)). Let b(n) = 9*n - 67. Let k(g) = -9*g - 26. Let a be k(-4). Let x be b(a). Solve 17 = -5*t + 5*h - x, -3*t = -u*h + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 58 (b) -2 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 12*a - 2*a + 5 as n*a + r and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*i - 315306 = -238080 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 + 11730*y**2 - 23466*y + 11734 = 0.\nAnswer: -5867, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9472 - 9379. Calculate the highest common factor of 10602 and w.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p + 6 = 53*p. Let l(f) be the first derivative of 1\/6*f**2 - 1\/12*f**4 + 2\/3*f - p - 2\/9*f**3. Factor l(x).\nAnswer: -(x - 1)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 6, u: 1, a: 1, x: 1, y: 3}. Give prob of picking 1 k, 1 u, and 1 a.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 239, -4, 2\/7, -5, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*a - 8544, v - 48*a - 2140 = -49*a. What is the lowest common multiple of v and 10?\nAnswer: 10690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Let p(i) = -120379198*i**2. Calculate p(r(d)).\nAnswer: -120379198*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 0*h**3 + 7 + 141207*h**2 - 141214*h**2. Suppose 0 = -2*r + 3*q, 3*r - q = -r + 10. Let x = r + -10. Give t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 at least as big as 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/85214703 and 143\/42.\nAnswer: 170429406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + (-3)\/(105\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.43 - -0.43. Let x = -18.99999865 - g. Round x to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = -3*z - 9, 5*j = z + 21. Let l be 276\/15 - z\/10. 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 the tens digit of 103181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4766*t - 27 = -4800*t + 5*p + 61, -5*t + 5*p = -t - 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4101 + 4103. Put -1, 32, j, 3, -5 in ascending order.\nAnswer: -5, -1, j, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1 (c) -3 (d) 2\/7 (e) -3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g + 7*g + g**2 + 2*g - g**3 as u*g**2 + w*g + x + m*g**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 42 = 52. Differentiate -166*a**2 + 576*a**h - 131*a**2 - 189*a**2 + 138 with respect to a.\nAnswer: 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 - -188.7. What is the second smallest value in 2, 3, y, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 5*c**2 - 9*c + 8. Let b(j) = -10*j**3 + 14*j**2 - 28*j + 25. Let t(r) = 2*b(r) - 7*q(r). Calculate t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 47621309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3549 - 3746. Let h = k - 1941. Round h to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 59*i = -9251. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - 3472?\nAnswer: -3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -389 + 386.83. Let g = -0.03 + w. Round g to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5*y + 19468*h**2*y**2 + 14*h**2 + 8*h*y**2 - 3852*y**2 wrt h.\nAnswer: -60*h**3*y + 38936*y**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from iibbhujbhiq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*j**5 + 16435*j**4 + 40*j**3 - 43060*j**2 - 32800*j - 6720 = 0. Calculate j.\nAnswer: -1, -6\/13, -4\/9, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 228026.1 less than 90241681?\nAnswer: 90013654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33150\/(-884) + 150)*((-4)\/(-10))\/(3\/(-10)).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -2*q. Let a(v) = -4*v - 3. Let p be a(-6). Suppose p - q = 3*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from {k: 1, m: 5, l: 3, u: 4, h: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -5*c**4\/12 - 192*c. Let m(b) = -10*b**2. Determine t(m(w)).\nAnswer: -500*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(2\/(-12)). Put b, -1\/4, -0.2 in decreasing order.\nAnswer: -0.2, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*f**2 - 292*f**2 - 156*f**2 + 31*f**2 in the form y*f + d + k*f**2 and give k.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.50416 minus -20390395?\nAnswer: 20390392.49584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7872418.8 to the nearest one thousand.\nAnswer: -7872000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*b + 61*b = -19880. Suppose 5*t + 23785 = -4*c, -4*t - 3972 - b = c. What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*v**3 - 2710*v - 8 + 3*v**3.\nAnswer: -6*v**3 - 2710*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w**3 - 24*w**2 - 57*w - 15. What is y(-2)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4534918 and 2?\nAnswer: 4534918","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t - 7. Let l be b(-4). Let w = l + 112. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = 1. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 839 and 585?\nAnswer: 490815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 11*j + 21. Let f be k(-13). Let w(x) = -x**2 - 8*x - 3. Is w(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328.5 * 237099\nAnswer: 77887021.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a. Let b(u) = 6*u**2 - 6*u + 2. Let s(g) = b(g) + 5*k(g). Let y be s(0). Solve -3*i + 3 = 2*o, -o - y*i = -7*i + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 + -1358\/3. Let n = 6.97 + -16.18. Let x = n - -0.21. Is x smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + -1 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -424 - -5?\nAnswer: -41e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -768*y - 1862*y**2 + 769*y - 975*y**2 in the form q*y + x + f*y**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = o - 0, 2*d - 5*o + 5 = 0. Let p be (4 + d)*1 + -4. Suppose 0 = -0*z - z. Solve 3*k = -p*k + 3*b, b + 4 = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 - 16*v**2\/11 - 2*v + 36\/11.\nAnswer: 2*(v - 9)*(v - 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*r**2 - 2*r**3 + 4*r + 0 + r**3 - 3*r + 2*r**4 as f*r**2 + q*r**3 + w*r**4 + p + c*r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 290929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**3 - t**2 + 2*t - 1. Calculate n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 4672?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175 is divided by 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 4*h + 77. Put -5, -2, 5, h in descending order.\nAnswer: 5, -2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1585, 45?\nAnswer: -1585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*g + 102, -g = -5*f - 13 - 3. Let s be ((-1)\/(-2))\/((-1)\/(-4)). Let z = 5 + -5. Solve z = s*q - 4*b + 12, q + g = 5*b + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -4404.02.\nAnswer: -4406.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwhqhvvqvvvvv. Give prob of sequence hq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/44 + (-12)\/66.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = 3*t, -y + t - 2*t = -11. Suppose -y*p + 350 = -598. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -2*t. Let d = t + 7. Suppose -3*n - 60 = -d*x, 3*n + 0*n = -5*x + 60. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 2029797*o**2 + 343338640200*o - 343340670000.\nAnswer: 3*(o - 1)*(o + 338300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 223*f - 1069*f + 35134 + 8702 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-1))\/1 - -19. Let j = 0 - -16. Suppose -j = 4*r, -5*r - 16 - 49 = -5*t. What is the highest common divisor of t and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 6*l**3 - 5*l**2\/2 + l + 19. Let r be q(2). What are the prime factors of (-84)\/r*(-414)\/4?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/150 - 13*a**4\/6 + 845*a**3\/3 + 9*a**2 + 6. Suppose s(n) = 0. What is n?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-1)\/(-3) - -2. Let n be 1*4*(-9)\/(-6). Suppose n*h = 11*h. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647140.8 centuries to months.\nAnswer: 776568960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 0, 6, 17, 8, 2 in ascending order.\nAnswer: -3, 0, 2, 6, 8, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 24 = -12*l. Calculate the remainder when 25 is divided by (-45)\/(-6)*l\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthqtthtthbqttk. What is prob of picking 2 h and 1 t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30507, -28329, -24693, -19593, -13023, -4977?\nAnswer: 4551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 + 19131*z - 4780*z - 4787*z - 4780*z - 4784*z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i**2 + 5*i + 19. Let h(j) = j - 8. Let c be h(5). What is the hundreds digit of m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3402) - (sqrt(3402) - sqrt(3402)*1) - sqrt(3402))*4 - (sqrt(3402) + -6*(-1*sqrt(3402) + sqrt(3402) - sqrt(3402))))\/(sqrt(36)\/(sqrt(6)*3*-3)*-5).\nAnswer: -567*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-116)\/4 - 0\/3. Let y = 35 + b. Solve 11*m - 25 = y*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4238, -4305, -4372, -4439, -4506, -4573?\nAnswer: -4640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(-44) - ((-483)\/(-44))\/7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85552361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**2*o)\/o)**(-21))**(-2\/15))**(-15) assuming o is positive.\nAnswer: o**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16697\/10 + 1670. Is 1\/18 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 12404.\nAnswer: -1240.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1146 and 130.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n*n*n**(7\/4))**(-22))**(-1\/8) assuming n is positive.\nAnswer: n**(209\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -325*n**2 - 467*n + 11. Let q(a) = 161*a**2 + 233*a - 6. Let p(i) = -11*q(i) - 6*z(i). Find the second derivative of p(u) wrt u.\nAnswer: 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -237142.2 to the nearest one thousand.\nAnswer: -237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*h**3*s**3*v + 2368*h**3*v + 128*h**2*s**3*v - 1037*h*s**3 wrt h.\nAnswer: 1020*s**3*v + 14208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 213 + 1215 = 26*q, 5*q + 5145 = 5*w. Calculate the least common multiple of 10 and w.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -64399a?\nAnswer: -64399c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1194 + -1193.99788. What is w rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -23. Suppose -t*v + s + 59636 = 229118, -v - 42375 = 2*s. Let d = 65371 + v. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(-20)\/15 - -48 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 6 - (27 + -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5624 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (1 - -460)*(-8 - -6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 12 + 3*j - 5*j + 110106*j**2.\nAnswer: 110106*j**2 + 2*j - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -14 - 3) + -420 + 428?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -110544627.03 to the nearest one hundred thousand.\nAnswer: -110500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -1\/5 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1086564918?\nAnswer: -1086564917.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.585 + -0.037?\nAnswer: 2.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 - f + 1. Let p be n(1). Let q = 0.214 - -1.806. Let c = q + -2.11. What is the second biggest value in p, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b27 (base 16) in base 13?\nAnswer: 13b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204420 (base 6) to base 2.\nAnswer: -100000010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -15 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 423?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4080\/(-10472))\/((-3)\/(-14)))\/(170\/(-2805))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -156 (b) -1\/3 (c) -1\/2 (d) 1 (e) -2\/1963\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {q: 2, f: 4, k: 2, u: 12}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 11 - 2\/1. Suppose 0 = b*o - 30 - 294. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 4*j - 3. Let d(c) be the first derivative of c**4\/4 + 2*c**3\/3 - 7*c**2\/2 + 8*c - 87. Let q be d(-4). Give u(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*i = 83, -3*l - 4*i = i - 162. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 83979.24 years?\nAnswer: 83.97924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3987591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 plus 40998276?\nAnswer: 40998270.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-36)*(-14)\/(12\/((-27)\/(-90)*-3))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2153*c**2*u**2 - 247*u**2 wrt c?\nAnswer: 4306*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 19*x - 6*x - 3*x - x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**2\/2 - 2*r - 7. Determine n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 973444620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172\/33 + 14\/3. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**3 - 2*z**2 + z. Let v be n(1). Suppose v*k - 3 - 2 = 0. Suppose -i + 0 = -4*h - 7, -2*i - 19 = 3*h. Sort h, k, 0.\nAnswer: h, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179652 is divided by 5309.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5980751 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 3:17 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a - 239 - 21*a + 236 + 7*a. Let f(o) = -o. Give f(g) + u(g).\nAnswer: -3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 13. Solve w = -r - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 29. Let c be g(-6). Suppose c*h + 6 = 11. Solve -1 = b + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3503 + 2185. Which is bigger: -1319 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -67*q**6\/30 - 113*q**4\/12 + 62*q. Find the third derivative of n(y) wrt y.\nAnswer: -1608*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31356864 and 746592?\nAnswer: 31356864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/102*50\/(-4)*12\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/120 + 19*w**5\/60 + 3*w**4\/4 - 5*w**3\/6 + 5*w**2. Let i be v(-18). Which is the nearest to -2? (a) 4 (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 1. Let g(x) be the first derivative of 8*x**2 + 220. Calculate g(j(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.7 (c) 15\/1114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 6 = 0. Let v = 2 - h. Let k(m) be the third derivative of m**6\/20 + m**5\/60 - m**4\/24 - m**3\/6 - 14*m**2 - 14. Determine k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = -43756*g + 43761*g for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2614 in 2, 2\/15, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.5, 5, 27, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1 (c) -1\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7513 is divided by 536.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249816232 to the power of 1\/2, to the nearest integer?\nAnswer: 15806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 12*l - 5*l + 2*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2641.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 33*h - 5*v = 451, 4*h = -v + 481. Calculate the lowest common multiple of 272 and h.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -8316*p**5\/5 - 68950353*p**4 - 3573121367764*p**3\/5 - 1576334220036*p**2\/5 + 534484414272*p\/5 - 1718599936\/5 = 0.\nAnswer: -20728, -2\/3, 1\/308, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 116, 281, 522, 845, 1256, 1761, 2366?\n\"Answer: r**3 + 29*r**2 + r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.5 - 46. Let t be 2 + (1 - (-1 - -2)). Which is the closest to 1? (a) -1 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1388, 6236, 14548, 26318, 41540, 60208, 82316?\n\"Answer: -b**3 + 1738*b**2 - 359*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 6*v**2 + 5*v + 9. Let n = -2 + 0. Let t be n\/(-11) + 79\/(-11). Is d(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/731 + 1492\/10965. What is the closest to d in 4, 1\/4, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 164 + 4*y - 16*y - 90 + 4*y - 89. Calculate p(-13).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -30.406 (c) -1 (d) -0.3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 4. Let h(c) = 9*c - 22 + 25 - 10 + 13*c - 20 + 2*c**2. Suppose 5*t = 4*l - 80, 0 = 2*t + l + l + 14. Let q be h(t). Calculate m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 + 3705*k - 1197*k - 3 to s + z*k and give z.\nAnswer: 2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100101 - 11101101100011000?\nAnswer: -11101110001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 4*f - 1. Let w be d(3). Suppose -w*r + 3*q - 9829 = 0, q - 8629 + 763 = 4*r. Let u = r + 15833\/8. What is the common denominator of 6 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*f - 16, 2*i - 3*i + 1 = 5*f. Suppose -748*m - 6231 = 105*m - 15614. Solve i*l = m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21258481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 76 = -0*k + 4*t, k - 19*t + 18*t = 23 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s + 6. Let w be v(0). Solve w + 14 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 2*m**2. Let c be h(-2). Suppose c = 4*j - 16. Solve -2*t + 5 + 9 = -j*u, 2*u - 4*t - 2 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7175420700 rounded to the nearest 1000000?\nAnswer: -7175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124.46598 + -0.03598. Let h = 125 - n. Let k = h - 0.6. Put 0.2, k, -3 in ascending order.\nAnswer: -3, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -7*b + 33. Let n = 410 + -248. Calculate the remainder when n is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-5)\/(-10))\/((-165)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*h - 41*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*q = 17395 - 107595 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -19) + 35 - (56 + 5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*z - z**4 - 616*z - 1 + z**2 - 3*z**3 - 5*z**3 + 315*z in the form p + m*z**4 + n*z**3 + k*z + o*z**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 7 + 2\/3*y**3 + 0*y + 0*y**2. Let r(m) = 5*m. Give r(n(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-362360)\/(-315))\/(-8) + (-81)\/189. Are d and -145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9413 + -6281. Which is greater: 18785\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 65, -6, 3\/5, 2?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1372) - 2*(sqrt(1372) + sqrt(1372)*1 + sqrt(1372)))\/(-6*sqrt(16)*2))**2*-3.\nAnswer: -13759\/192 + 105*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 8. Let n(q) be the first derivative of 3*q**2\/2 - 7*q - 95. Give -5*h(v) + 6*n(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 14*a**2 + 27*a + 1026. Determine n(20).\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.641 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242.185 - -238. What is m rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8705719 and 4480091.\nAnswer: 7711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269496.\nAnswer: 2, 3, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**2 - 3*l - 19. Determine x(-5).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2310 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -147851 and 0.142.\nAnswer: -147850.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - 113 - (-15 - (-9 - -35)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2 + 4)\/(0 - (-5 - -1))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3 + 3)*(-114*s**2 - 115*s**3 + 114*s**2) + (0*s + 0*s + s)*(5*s**3 + 3*s**3 - 10*s**3) + s**4 - 4*s**4 + s**4.\nAnswer: -119*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 1437?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -5817116 = -5817116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 7, 1, -2\/89?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4 - 16. Let t be 3 + -4 + -1 + c. Let g(a) = -4*a - 17. What is the lowest common multiple of 12 and g(t)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121200110 + 12?\nAnswer: -121200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 2. Let y be t(6). Let w(j) = 0*j - 6 - j + 3*j. List the prime factors of w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 106 = 22. Solve 4*y = v*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4800285?\nAnswer: 3, 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2970 + 2971. Is j less than or equal to 17\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186 - -17525\nAnswer: 17711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73455 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -174 + -1a2e?\nAnswer: -1ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*o + 8*o. Let p be (4 + o - 6) + -3. Put p, 2, 0.3, 1 in ascending order.\nAnswer: 0.3, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -347 + 350. Let i(r) be the second derivative of -2*r**2 + 0 - 2\/3*r**z - 2*r. Let b(v) = -9*v - 9. What is -2*b(y) + 5*i(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 4*n + 2*n**5 + 0 + 0 - 2*n**5 + n**5 - 3 + 3 + (-2 + 2 + 2*n**3)*(-2*n**2 + 3 - 3) - 4*n**5 + 5*n**5 + 0*n**5 + 3*n**4 - 3*n**4 - 223*n**5.\nAnswer: -225*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17871 (b) 2\/9 (c) 54 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1921 in decreasing order.\nAnswer: 1921, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451 (base 6) in base 12?\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 4*z + 20, -z + 10 = 3*t - 3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 1. Let z be u(5). Let y be (-5 - -2 - -2168)\/z. Let l = y - 156. Find the common denominator of -79\/6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0096083 to four dps.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-15))\/((-7)\/10269). Let m = r + 655. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:46 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 16*o - 21*o. Let m(c) = c**3 - 6*c**2 + 2*c + 6. Calculate m(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 14 - 214*h - 3 + 3 + 196*h - 2*h**2 + h**2. Give l(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4733 + 14200\/3. Let j(p) be the third derivative of -5\/8*p**4 + 0 + z*p**5 + p**2 + 1\/24*p**6 + 0*p - 15*p**3. Factor j(n).\nAnswer: 5*(n - 2)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 209739*x + 419484. Determine v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7045 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 - -0.27. Let h = n + 0.11. Sort h, -2\/11, -0.4.\nAnswer: -0.4, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*w**2 - w - 3*w**2 - w)*(536349*w - 536330*w + 7 + 15) to q*w**2 + j*w + f + t*w**3 and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 380909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3552, -7018, -10410, -13722, -16948, -20082, -23118?\n\"Answer: j**3 + 31*j**2 - 3566*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 2*g - 1. Let d = -24 + 21. Let y be b(d). Let n be (2 + y)\/((-10)\/(-90)). Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2448) + -2 + (sqrt(2448) + 2 - sqrt(2448))*-6 + sqrt(2448) - ((sqrt(2448) + sqrt(2448) + -1 + sqrt(2448) - sqrt(2448)) + -2 + 0 + -1))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -3)\/2 - 15\/3. Let l be -2*1 + (-4 - b)*1. Suppose l = -t + 2*f - 5, -5*f + 1 = -t - 4*f. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 11. Let k = -6 - -3. Let t(q) = q**2 + q - 1. Let d be t(k). Let j be h(d). Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -453, -3, 2, -5 in ascending order.\nAnswer: -453, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/45*2\/(-60*1)*75\/(-105)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 44.8, 5, 2, 249?\nAnswer: 44.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -227, -5\/12.\nAnswer: -227, -1, -5\/12, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33770141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*(sqrt(700) + -1))**2)*3.\nAnswer: -960*sqrt(7) + 33657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/1735944 and -67\/126.\nAnswer: 5207832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(25\/20) + 3. Which is bigger: 2\/7 or a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/228*3*4\/(-16)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 310 + d - 310 + 2*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -59, 22.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q - 910 + 115 - 1167 = 1062 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 3*b. Let n be p(6). Suppose 5*i + 2*v = -v + n, -5*v - 35 = -4*i. Suppose -5*q + i = -0*q. Solve -c - 2*c - q = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - 4?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2710*n - 1525*n + 4981*n.\nAnswer: 6166*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -692574564 and -0.2.\nAnswer: 138514912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a6 + 4?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11235 = -4*t + z - 11243, -5*t + 5*z - 31 + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20862*j + g = -20861*j - 11, 3*j - 53 = -g for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14014)\/(-9009))\/(7\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let n be 28\/12 - (0 + (-3)\/(-9)). Let c(i) = -6*i**2 + 70*i**n + 7*i + 10*i**2 - 8*i. What is y(c(w))?\nAnswer: -148*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -12 + 23 + (71 - -5) + -1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/44 + 2\/(12\/93). What is the third derivative of -7*f**2 + d*f**2 - 14*f - 60*f**3 - 14*f**3 + 16*f wrt f?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 25 - 16) + 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t - 0. Suppose i + c = -t + 2, 2*c = -4*i + 4. Suppose i = -j - 0, -8900003 = -k + 3*j. Round k to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 68) + (5726 - 5553)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 764026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-220)\/(-15))\/11 - 2974\/(-6). Let a = -188 + b. What are the prime factors of a?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.17653 millimeters to meters.\nAnswer: 0.09017653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11574\/(-72))\/((-2)\/8). Let r = a + -347. Let f = r - 77. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 52 = 0. Suppose a*v - 24*v = 4. Is (5\/(15\/9582))\/(v\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 56*f + 33. Let v(p) = -p - 1. Let a be (-1 - -7)*2\/((-48)\/(-20)). Let o(d) = a*v(d) + n(d). What is the units digit of o(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359 - 297 + 350)*(-3*h**5 - 2*h**5 + 2*h**5).\nAnswer: 918*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/47435 and -52\/10270125.\nAnswer: 544316625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1201 - -1?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4. Let i be z(0). Suppose 4*d = w - i - 9, 2*d = -w - 11. Let m = -3\/602 + 611\/1806. Put -5, w, m in decreasing order.\nAnswer: m, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000230099 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - c**3 - 3*c**3 + (-2*c + c + 2*c)*(0*c**2 + 4*c**2 - c**2) - 61*c**3 + 40*c**3 + 378*c**3 in the form b + p*c**2 + y*c**3 + q*c and give y.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 30*t + 178. Give w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19573 is divided by 4878.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4066 - 2523. 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 1997006537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*b**4 - 330*b**3 - 903*b**2 - 384*b - 36 = 0. Calculate b.\nAnswer: -1, -2\/5, -2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (45 - 61) + -1 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -5, 2681, 0.087, -4?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502322.\nAnswer: 2, 19, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 4. Let k = 22 - x. Let f(r) = -r**3 + 8*r**2 + 4*r - 1. Let u be f(k). What is the greatest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 12 = 0. Suppose -g*b + 52 = -5*b. Let z = 47 - 34. Calculate the greatest common divisor of z and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23065.9772 rounded to the nearest one hundred?\nAnswer: -23100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 814 = 73. Let o = 12 - 7. Suppose -o*z + 11 = -j. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + f**2 + 6*f - 15. Let l = -8596 + 8599. Determine w(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-6\/5)*(y\/(y*y**(-6\/5))*y)\/y assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*m + 89 + 12 + 79 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5369*k**3*t + 2*k*t - 62934 wrt k?\nAnswer: 32214*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/(a*a**(-1)))*a*a))**(-21) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*q + 35 = 0, -6*p + 4*p + 5 = 5*q. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*t - 7, 3*v - 4*t = 82 - 64 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) - ((sqrt(660)*1 - sqrt(660) - sqrt(660))*4 - sqrt(660)))\/(sqrt(275)*1 + sqrt(275)))\/((sqrt(300)\/sqrt(5)*6)\/(-6*sqrt(5)*2)).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t - 18 = -2*d, -2*t = -8. Is (-2)\/3 - d\/(15\/15655) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222959+148\nAnswer: -222811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, b: 3, y: 5, z: 7, u: 1}. Give prob of picking 1 u, 1 z, and 1 b.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.24480674 and -1.039883?\nAnswer: 0.20492374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3809440 and 6880?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3\/5 - 10332*c**2\/5 - 41289*c\/5 - 6192 = 0.\nAnswer: -3440, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*88\/(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180) + 4 - (-1 + 1 + sqrt(180)))*6*5)**2.\nAnswer: -86400*sqrt(5) + 662400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(8*b**3 + 3*b**3 - 4*b**3) - 3*b**2 + b**3 + 3*b**2 + (-3*b + 5*b - b)*(-17*b**2 + 8*b - 8*b).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujtjujjatuouhu. Give prob of picking 1 h, 1 t, and 2 j.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z - z)*(-25236 + 552*z + 8411 + 8417 + 8407).\nAnswer: -1104*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b + 6 = 0. Let w = 4 + b. Does 2 divide (w\/(-2))\/((-2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 30 = -s. Suppose -s*a = 36 + 24. Let z(x) = -x**2 - 12*x - 21. Let v be z(a). Sort v, -11, -5 in increasing order.\nAnswer: -11, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4894480260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.62066 and -2?\nAnswer: -5.24132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288))\/(2*sqrt(9)*6).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 64*n**2 + 6*n - 3. Give q(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 - 17*r - 38. Let d be u(-3). Put -2, d, 70 in decreasing order.\nAnswer: 70, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) 44.7 (c) -0.031 (d) 1\/4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from kkkkkrkrrkkrrrf.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*u - 6611 + 329 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/11 - 227*h**2\/11 + 920*h\/11 - 84 = 0.\nAnswer: -231, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15*q + 4 - 4 + 12*q + 0 + 3. What is n(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 5, 0, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o + 3. Let t be h(-3). Is 2\/((2\/t)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-96) + 1)\/(3\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1815 and 2349728040?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 - 7*t + 7. Let r(y) = -4*y**2 - 3*y + 3. Suppose 5 = -g, 3*g - 20 = 5*v + 4*g. What is v*n(b) + 7*r(b)?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -14252\nAnswer: 4275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -31 - ((5 - -11) + -29).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -204, -2\/3.\nAnswer: -204, -2\/3, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187 + 259a?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 8*h + 6. Let b be i(8). Put b, -3\/7, 2 in ascending order.\nAnswer: -3\/7, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 721 - 745.67. Let a = y + 25. What is a rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-12)*c*c))\/(c*c**(-2\/33)))\/(c**(-22)*c\/(c**(-3\/8)*c)))**43 assuming c is positive.\nAnswer: c**(348343\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let g = -111 - -157. Let f be g\/(-16) - -1 - -2. Is w != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 839919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357\/(-4 + 87\/21)?\nAnswer: 7, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002200746 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28515692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(8)\/sqrt(2))*1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -k - 1, 3*m = -5*k - 2 - 3. Let x = m - -6. Is 46\/x + (-8)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287472543 to the power of 1\/2, to the nearest integer?\nAnswer: 16955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -611, -1234, -2273, -3728, -5599, -7886, -10589?\n\"Answer: -208*g**2 + g - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21633189 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*a + 2*q, -3*q = -5*a - 101 + 76 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1470, -1465, -1450, -1419, -1366?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7797?\nAnswer: 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*q**2 + 18787 - 157*q**2 - 62*q**2 as b*q**2 + i*q + u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -250240*g - 131917?\nAnswer: -250240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -2.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -225 in 2, 886, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -2d3a1?\nAnswer: 2d398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -43*y - 20. Let g be n(-21). Suppose 3*k + i = 1926, i + g = 4*k - 1685. Calculate the remainder when k is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/30 + 2*t**2. Let m(v) = -2*v + 7. Let p(k) = -k + 2. Let n(s) = -2*m(s) + 7*p(s). Give d(n(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 52 = -m, -2*x + 0*m = -5*m + 12. Let b be (1089\/(-44))\/(3\/x). Calculate the highest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 5 - 4*x + 7. Calculate o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 2*p**3 - p + 0*p**3 - p**3 + 3*p**3 in the form n*p + m*p**2 + a*p**3 + j and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Suppose 2*s - 2*m = 2*m + 160, m - u = 0. Suppose 2 - 12 = -5*w, -3*w - s = -4*f. Calculate the least common multiple of 12 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*q + 12. Sort -0.4, q, -0.1 in decreasing order.\nAnswer: q, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 173*r**2 - 1105*r - 4066. Give q(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49500002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/7552*-16 - 41391\/(-1593)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57300000 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -31*z - 196. Let d be g(-6). Let j(o) = o + 3. Let q(p) = 2*p - 5. Let v(x) = 5*x - 10. Let h(r) = -9*q(r) + 4*v(r). Give d*j(c) + 6*h(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 95.41023 kilometers?\nAnswer: 95410230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1336*i**2*m**3 - 9*i**2*m**2 - 112*i**2*m + 34*i*m**4 + 5*i*m**2 + 20*i*m - 4*m**3 + 5 wrt m.\nAnswer: -8016*i**2 + 816*i*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:24 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284772382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120180, -120216, -120270, -120336, -120408?\nAnswer: -120480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -20*w**4 + 4712*w**3 - 18448*w**2 - 18848*w + 74112 = 0.\nAnswer: -2, 2, 4, 1158\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 46*r = -10*r + 1800 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*s = -366*s + 4*d, 0 = 3*s - 4*d - 8. What is the third biggest value in 23\/18, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 10*p + 2. What is z(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 20 - 0. What is the third derivative of -3*k**h + 4*k**2 - k**4 - 7*k**2 wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*l - 13*l - 2*l**4 + 37*l + 4*l**4 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1558057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145.2 - -47.8. Let c = b - 186. Put -2\/7, c, 3 in ascending order.\nAnswer: -2\/7, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 1 + 7. Let f be q\/56 + 2\/(-7). What is the smallest value in -4, -2\/53, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -0.5, 94\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 + 186. Suppose -2*z = -n*k + 15, k + 12 = -4*z + 3. Solve 5*w - k = -2*d, 9 = 3*w - d + 4*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 0.3, 883, 4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s + 6. Let h(a) = -a + 1. Let p(v) = -6*h(v) + r(v). Determine p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10437 and 290925411?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(343) + -1)**2 - sqrt(343)).\nAnswer: -21*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 + 58*y**3 - 40*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*w + 12, 0 = 3*c + 5*w - 2*w - 15. Let p be 2\/c - (-15100005)\/(-10). Round p to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -2) - (-8 - -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:22 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**2 + 56*a**3 + 10 - 88*a**3 - 12*a**2 to s*a**2 + w*a**3 + x*a + c and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*w**2\/2 + 471*w\/4 + 975\/4.\nAnswer: -3*(w - 13)*(14*w + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8945*u**3 - 7952*u**3 + 2580*u**3.\nAnswer: -14317*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 7. Let o(i) be the third derivative of i**4\/6 - 4*i**3\/3 - i**2 + 52. Suppose -5*d + 4*u = 0, -2*d - 2*u = -u - 13. Determine d*o(w) + 5*a(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -296*n - 20. Let y(u) = 99*u + 7. Calculate 14*y(v) + 5*z(v).\nAnswer: -94*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 24705*q**3 + 24700*q**2.\nAnswer: 5*q**2*(q - 4940)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36045\/25 - 3 - (-2)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c + 12*c - 330 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 189\/(-27)*3*-1?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10788388 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 2\/3, -5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 5904 - 11785 + 5922. Suppose 2*l - 10 = y + 15, 2*y - 2*l + 42 = 0. Is g(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 2*t**2 + 4*t = 0. Calculate t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2 = -x - 20, -14 = 3*x - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 12) to base 13.\nAnswer: c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.854942 - 1.4.\nAnswer: -3.254942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 306*x**3 + 79*x**3 - 6 + 9 - x**2.\nAnswer: -227*x**3 + x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, t: 1, k: 4, o: 2, p: 1}. Give prob of sequence qoo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248 divided by 4.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 883417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -105. Suppose 0 = -4*s + o + 32, 2*s - 25 = -o - d. Calculate the greatest common divisor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 10*b**2 - 13*b + 18. Let w(n) = 6*n**3 + 18*n**2 - 27*n + 33. What is -11*d(x) + 6*w(x)?\nAnswer: 14*x**3 - 2*x**2 - 19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j + 56*j - u - 11 + 71 = 0, -11*j + 10*j = -7*u + 90 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5 + 2. Suppose -i*o - 4 + 40 = d, -4*d - o = -177. Let u = -1776 - -2136. What is the highest common divisor of u and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35163 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32476 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*b - 5, 4*k + 3*b = 8*b - 7. Let g be k\/6 - 16\/48. Solve g = 4*f - 0*f - 5*v - 5, 3*f - 9 = 2*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49479 + 3610*k**2 - 49479 in the form v*k + c*k**2 + u and give c.\nAnswer: 3610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*10\/(-15))\/((-8)\/(-72))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -8589?\nAnswer: 5\/2863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 20449*h + 40944. Determine u(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16051 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 = 2*f - 30*f - 755 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 4. Let j be 5\/((-100)\/l)*-4. Sort j, -0.4, -5 in descending order.\nAnswer: j, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + 1706*d + 1707*d - 17 + d**3 - 3414*d. What is c(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29227 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 4906.\nAnswer: 235488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.025 + -3.975. Suppose 4 + 0 = 4*f. Let c = 0.3 + 0.7. What is the closest to c in 3, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131446 and 1148.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 1\/180*m**5 + 0*m**3 - 1\/36*m**4 + 3*m**2 + 0*m + 0. Factor j(r).\nAnswer: r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/((u*u\/u**(2\/3)*u)\/u)*u**(-5)\/(u\/u**(-3)) assuming u is positive.\nAnswer: u**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/4 + a**3\/3 + a**2\/2 - a + 5. Factor r(k).\nAnswer: -(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:44 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 28268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020 = -4*c - 4*l, 2*l + 7 = 13. Suppose 4*p - 2411 = 3*v, -2*v - 2*p - 1600 = -p. Let j = c - v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/352 and 25\/133188.\nAnswer: 1065504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 - 1\/7. Let p be 0*1*(0 - 1). Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/60 - 5*h**4\/8 - h**3\/2 - 12*h**2. Let j be c(-14). Suppose -j*l - 6 = 27. Put -4, l, -2 in decreasing order.\nAnswer: -2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is ((-65)\/(-2))\/((-635)\/(-254))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21585584814+-3947\nAnswer: 21585580867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*n + 6*n - 51592, 0 = 5*n + 10. Round g to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y + 2. Let p be 3 - -6*1\/(-2). Let w = -14 - -14. Solve p = -w*q - y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2\/9 (c) -8 (d) 51.5 (e) 0.093\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.05749 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, f: 5, o: 4}. Give prob of sequence qffq.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/45)\/((-24)\/20). Suppose -2*k + 3*i + 15 = 0, -3*k - i - 15 = 2*i. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140216 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 1002679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*8\/10. Is m + 1*(-2 + 3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 - 10 - 2*2. Suppose 7 - b = -2*d, -2*d + 80 = 4*n. Let u be (8\/12)\/(2\/9). What is the highest common divisor of u and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 34, 108, 222, 376, 570, 804?\n\"Answer: 20*z**2 - 26*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6120.069 hours?\nAnswer: 367204.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.8706567 rounded to zero decimal places?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104786565 and 9646.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2942.15 minutes?\nAnswer: 176529000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19127165 rounded to the nearest 1000?\nAnswer: 19127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 176\/(-40))\/(2\/20). Suppose -5*b + 5*t + 548 = -b, t = r. Calculate the remainder when b is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/18)\/((-15)\/6))\/(62\/31).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451 take away 52?\nAnswer: -2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149880 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2448 = 6*b - 9*b, 0 = -3*y + 4*b + 2445. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 280 + -632.17648\nAnswer: -352.17648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(1 + 5 + sqrt(48)).\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 469 divided by 3\nAnswer: 469\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -41. Determine y so that -g*y**3 - 18*y**4 - y**5 + 0*y**5 + 0*y**4 + 50*y**2 - y**5 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-14 - -34) + (-6 - (-1 - 0))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:22 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*a - 362560 = -695780 - 619405. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*u - 8, 2*u + 4 = -4*q + 6*u. What is the nearest to q in 4\/3, -5, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/4 - (-27)\/(-12))*-14. Suppose d - k - 13 = 0, k + f = -0*d + 3*d. Suppose -11 = 3*m - 4*m. Is d greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/22)\/(1107\/12177).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18648 + -18898. Does 0.012 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 5. Let j be l(8). Suppose -o - 1 + j = 0. What is the highest common factor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 8*t + 7. Let x be d(-7). Suppose x = -2*y + 2. What is the remainder when 2 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 34*m + 16. Let v be w(9). Let l = v + -4828\/15. Which is the third smallest value? (a) 3 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s**3 - 3*s**2 + 114*s - 232. Calculate i(2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = 5. Let z = -3\/128 - -399\/640. Let w be (-24)\/(-12) + 24\/(-10). What is the nearest to 0 in w, y, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 1. Let r be n(-5). Let q(z) = -4*z**2 + 2*z. Let i(c) = -3*c**2 + 2*c. Let w(m) = r*q(m) + 5*i(m). What is the second derivative of w(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5296 and 59.\nAnswer: 312464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*i = 67094 - 54827 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*((-1*sqrt(153) + sqrt(153))\/sqrt(9) + 1 + sqrt(17) + 0 + sqrt(17))*1 + 3.\nAnswer: 18 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 20*u - 43*u + 196 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004640355 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -6374?\nAnswer: 636c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*h + 6*h. Let j(r) = -r**3 - 8*r**2 + 10*r + 12. Calculate j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66529, 133130, 199731, 266332?\nAnswer: 332933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) -0.4 (c) 460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.0466. Round z to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 2579 (c) 1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 4*q + 6. Let i be 1*5*(-1)\/1. Let o be j(i). Let u(g) = -87*g - 77*g + 160*g + 1. What is u(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1512743, -1512758, -1512773?\n\"Answer: -15*l - 1512728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, g: 2, y: 5, f: 3}. What is prob of picking 1 y and 1 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 44\/12)*24 + -1. Let n = h - 31. Suppose 0*j - n*j = -512. Calculate the greatest common factor of 160 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 (base 7) in base 13?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -311684 (base 9) in base 10?\nAnswer: -184999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*q - 1691 + 1708, -2*q + a = -7. Factor -25\/2 + 14*h**q + 27*h**2 + 3\/2*h**4 - 30*h.\nAnswer: (h - 1)*(h + 5)**2*(3*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.14, -4.31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 664372103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-3\/20)\/(f**(2\/5)*f**(-5))*((f\/(f**(1\/3)*f*f))\/f*f*f**(1\/2)*f*f*f)\/(f**(-1))**5 assuming f is positive.\nAnswer: f**(878\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -478042, -478040, -478038, -478036?\n\"Answer: 2*j - 478044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000084383 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -2\/3, 1\/15 in descending order.\nAnswer: 0.1, 1\/15, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -8. Let g = 7 + i. Calculate the highest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**5\/5 - 3*g**4\/4 + g**3\/3 + 3*g**2\/2 - 2*g + 7. Factor h(p).\nAnswer: (p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 433, 1753, 3957, 7045, 11017?\n\"Answer: 442*h**2 - 6*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 30 = q + q, -4*q - 2*f + 44 = 0. Let x(m) = -4*m + 34. Let n be x(q). Let a be n\/(-3) - (-16)\/12. Solve 4 + a = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -407?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:43 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/7, -46261, 1\/3, 0, 0.5 in ascending order.\nAnswer: -46261, 0, 1\/3, 0.5, 20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-44) - (-68)\/(-11). What is the tens digit of w\/12 - 46\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81151970 by -40575985.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, 0.52, 2\/11, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - f - 3 = 0, -2*a + 3*f = f - 6. Sort 4, a, -2 in increasing order.\nAnswer: -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/5 - j**2 - 6*j. What is the derivative of t(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*p**2*x**3 + p**2 - 411330*p*x**2 - 12701*x**3 wrt x?\nAnswer: 624*p**2 - 76206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 62*x + 88. Determine i(-20).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/12)\/((-1)\/(-10)). Let c be (5\/z)\/(1\/7). Suppose d - c = 5*u, -4*u + 10 = 4*d - 42. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) -2 (c) -10 (d) 6 (e) 0.225\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:58 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 4. Calculate k(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46751, -46999, -47413, -47999, -48763, -49711, -50849?\n\"Answer: -q**3 - 77*q**2 - 10*q - 46663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/11))\/(w**(-8)*w*w))\/(w**2*w**(-1\/2)) assuming w is positive.\nAnswer: w**(125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1760)\/816)\/22)\/((-5)\/6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35 and 7\/232282.\nAnswer: 232282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 159\/7 - (-18)\/63. Suppose -20*n = -m*n + 12. Solve d - g + 2*g = 0, 2*d + 4*g + n = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) 2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*10\/40*(-16)\/(-60)*-9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1143, -2277, -3425, -4593, -5787, -7013, -8277, -9585?\n\"Answer: -m**3 - m**2 - 1124*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112001 - 10010?\nAnswer: 101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10130?\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -18. Let o = -22.6 + h. Let w = o + -2.9. What is w rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 89, -2\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**3 - 15*f**2 - 60*f. Let j(w) = -w**3 + 2*w**2 - w. Let u(v) = -6*j(v) + x(v). Factor u(i).\nAnswer: -3*i*(i + 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0*g + 0*g + 2*g**2 + 4 - 4 + (-2*g - 3*g + 4*g)*(-3*g + 3*g - g) + (-3*g + 5*g - 5*g)*(-38 + 38 + 10*g).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83162 (base 9) to base 11.\nAnswer: 381aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1263*c - 10115. What is j(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -518, -1208, -2150, -3332, -4742, -6368, -8198?\nAnswer: -10220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 731469*q*r*y**2 + 2*q*r*y + 7*r*y**2 + 343685*r - 2 wrt q?\nAnswer: 731469*r*y**2 + 2*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -18. What is the common denominator of 53\/3 and ((-220)\/(-33))\/(r\/(-6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3.5\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -159 + -10\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 15*v - 4. Suppose 3*s + 3 = 2*t - 2, t - v = 2*s. Let i(j) = j - 6. Let d(k) = 2*k - 7. Give t*i(o) - 6*d(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85137603.99999744 + 85137850. Let c = l - 246. What is c rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:09 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 133.16. Let v = o - 20.38. Let f = 12 + v. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 4*u - 3, -3*u = 3*f - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12811 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11251 is divided by 103.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5443*d**3*q**3 + d**3*q - 1561*d**2 + d*q**3 + d + 4 wrt d.\nAnswer: -32658*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.82 + 0.18. Let z = -123.9 + 131. Let j = z + -7. Which is the second biggest value? (a) 4 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -1116, -2510, -4462, -6972, -10040, -13666?\nAnswer: -17850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 1305 - 495. Let r = f - -61. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -2, 3, -11 in increasing order.\nAnswer: -11, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/8 + -3)*(-8)\/(-10). Find the third derivative of 7*k**2 + 14*k**5 - 3*k**5 - 15*k**c wrt k.\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 + 24?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -369a + 4?\nAnswer: -3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*z + 33, -z = -5*o + 2*o - 11. Find the first derivative of -7*d**2 + 4 + d**2 + d**2 - z wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:55 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.6951192 and 0?\nAnswer: 33.6951192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.858 - -0.218. Let a = f - -1.64000057. What is a rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0. Let k = -5 + 4.7. What is the biggest value in k, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (0 + -4)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c4e4a + 3?\nAnswer: -4c4e47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13169*j - 13079*j = 3468150. What is the highest common divisor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15864 = -14*h - 1066. Let v = h + -744. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 2*k**2 - 2*k - 6. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17372*d**2 - 50*d - 3*d**3 + 1 - 17372*d**2 to the form f + c*d + q*d**2 + x*d**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -462 + 481. Let p be (-4)\/(-16)*(n - -1). Solve 5*u = -5*b + 25, -p*u = 3*b + b - 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2575) + -2 + -1. Let f be y\/(-36) - (-14)\/(-4). What is the highest common divisor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -863*x + 876*x + 57 - 29 + 63 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 3408?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68291583.\nAnswer: 3, 127, 179243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 0 - (-14)\/3. Let b = 7208 + -7204. What is the second biggest value in 2, b, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34115*b**5 - 84*b**2*c**2 + b*c**2 - 3393*c**2 - 2 wrt b?\nAnswer: -682300*b**3 - 168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*t**2 + 0*t**3 + 1\/4*t + 0 - 1\/2*t**4 - 1\/4*t**5 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 2*r - 36, -4*s + 2*r = -s + 29 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2599)\/11 + (-8824)\/12133. Which is greater: -240 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138429 and 15381.\nAnswer: 138429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 127.5 and 0.06?\nAnswer: 127.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 12*g + g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38512194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((6 - 1) + (-73 - -72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 1, -109, 4, -43, 11 in descending order.\nAnswer: 11, 4, 2, 1, -9, -43, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -61139503 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32323 (base 7) to base 11\nAnswer: 6061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 = 7. Suppose -t*z + 4*z = 5*i + 36, 5*z = -5*i + 55. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 + 82?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (8 + -3) - -4) + (1 - 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(1 + sqrt(891))**2 + -3.\nAnswer: 90*sqrt(11) + 4458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628631319.\nAnswer: 3, 43, 67, 72733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 7*u - 4. Let w(o) = o**2 - 7*o - 4. Let l(f) = -4*w(f) + 3*y(f). Suppose 60*q - 72 = 48*q. What is l(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.013 (b) 4\/295 (c) 2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12589, 25183, 37777?\n\"Answer: 12594*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/13 + 23158*y\/13 + 92600\/13 = 0. What is y?\nAnswer: -11575, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2003728 + 1?\nAnswer: 2003730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 20. Let z = -8 + 8.3. Let n = z + 0.2. Which is the nearest to -1\/2? (a) w (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + 3*t**2 + 3*t**2 + (t - t + t)*(-1 + 1 - 2*t) - 2*t + 2*t - t**2 - 2 + 2 + t**2 + 44*t - 44*t - 2*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*h + 4*v, 3*h + 2*v + 53 = 209. What is the remainder when 629 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.12 (b) -3 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6646 at most -6683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/4)\/(5\/10*-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 305, 518, 741, 980, 1241?\n\"Answer: j**3 - j**2 + 209*j + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3345500.\nAnswer: 2, 5, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132236121?\nAnswer: 3, 139, 233, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.059 (c) -2 (d) -0.1 (e) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 4*j**2 + 3*j + 1. Let v be r(-2). Let n be (-23)\/(-7) + (5 - (3 + v)). Factor 2\/7*i**5 + 2\/7*i**3 - 20\/7*i**2 + 8\/7*i**4 + n - 8\/7*i.\nAnswer: 2*(i - 1)**2*(i + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.376*0.1.\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w - 3*v + 423, -5*v + 413 = w. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - g**3 + g**3)*(-3 - g + 3) - 3*g**4 - 2*g**4 - 3*g**4 + 2*g**4 - 4*g**4 + 0*g**4.\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:18 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(363))*4 + 0 + 2*-4*(sqrt(363) + -3).\nAnswer: -44*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 + 10*y**2 + 5*y + 2. Let n(o) = 4*o**3 + 11*o**2 + 6*o + 2. Calculate -5*n(x) + 6*u(x).\nAnswer: 4*x**3 + 5*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.2 - -11. What is the closest to -1 in d, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/30 - (-2)\/(-12)) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -4. Let s(n) = -73 - n**2 + 75 - 7*n - 3*n. Calculate the remainder when 2 is divided by s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 36.51, -5\/3, -0.19, 1?\nAnswer: 36.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 41*f - 5. Let g(u) = 18*u + 9. Give g(i(t)).\nAnswer: 36*t**2 + 738*t - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 24 - 129. Suppose 4*q = -4*h + 36, -2 = -3*h - 4*q + b. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1709681 - -173517.\nAnswer: 1883198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**8\/420 + y**6\/360 + y**5\/120 - 5*y**4\/2 - y**2\/2 + 42*y. Let p(k) be the third derivative of g(k). Determine p(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.700724km in millimeters?\nAnswer: 9700724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1254*j - 522*j - 867*j - 1298*j in the form v*j + b and give v.\nAnswer: -1433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 4*i**2 - 1842 + 1842. Let c(r) = -49*r. What is c(p(b))?\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y. Let x(u) = -26*u**2 + 5. What is x(r(c))?\nAnswer: -416*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z + 186. Let l = z - -224. What are the prime factors of l?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + q = 27, -5*h = q - 4*q + 31 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 8*s + 29. Let m be o(11). Let j be -5 - -3 - 1*-2*1. Sort m, j, 2 in decreasing order.\nAnswer: 2, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 508.2 times -8221\nAnswer: -4177912.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/(10\/(-16)). Suppose 3*h + 3*m + 33 = 0, 18 = -2*h - 0*h + 2*m. Let a = -17\/2 - h. Sort i, a, 0.3 in descending order.\nAnswer: a, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) - 6*(1 + sqrt(2299)).\nAnswer: -55*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190 - 154. Calculate the lowest common multiple of 24 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 52*r**2 + 38*r**2 - 12*r**2 to i + d*r**2 + w*r and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 22 = -6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {m: 1, c: 5, o: 2, f: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -291170, -582207, -872970, -1163321, -1453122, -1742235?\n\"Answer: 23*w**3 - w**2 - 291195*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*j = 305*j + 2*f - 5, f = j + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 6, m: 1, u: 5, b: 6, t: 1}. Give prob of sequence mubu.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2710227l?\nAnswer: 271.0227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(-6*(-10)\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g - 5*g + 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + -79. Suppose 4 = 4*a - d. Suppose -j - 54 - 25 = -x, 2 = -a*j. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -23.97. Is 1\/3 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*g + 36. Suppose 2*b - g = 6. What is the remainder when 69 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218543 divided by 798?\nAnswer: -218543\/798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.4 - 42. Let k = -44 - m. What is k rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/375, 2, 0.147, 0.5, -2, -3 in ascending order.\nAnswer: -3, -2, -2\/375, 0.147, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 - 2*j**2 - 12*j + 4*j + 6*j.\nAnswer: -2*(j - 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177003293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 23*v**2 + 3*v - 33. Suppose 13*d = 4 + 295. Let z be j(d). Find the third derivative of 6*b**3 + z*b**2 - 6*b**3 + 17*b**6 - 2*b**6 wrt b.\nAnswer: 1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 4 (c) -2\/15 (d) -5199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183111, 361571, 540031, 718491, 896951, 1075411?\nAnswer: 1253871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*l - 692586 = -117616. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-46)*6\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336)*2 + -1 + 1)**2*5.\nAnswer: 126720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 6. Let g = j - 9. Suppose 5*w + g*p = 60 - 7, 4*w - 5*p = 16. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9976.42043 to the nearest one hundred.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142247, 142249, 142251, 142253, 142255?\n\"Answer: 2*b + 142245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6384 - 370289\/58. What is the common denominator of 61\/22 and m?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*p - 2 - 0, -5*g - 20 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 357 + 221 + 282 + 4*y**2 in the form v*y**2 + m + x*y and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -509404100 to the nearest 100000.\nAnswer: -509400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 1\/3*k**3 + 0 - 1\/2*k**2 - 1\/4*k**4 - 2*k. Let v be w(1). Which is the second biggest value? (a) 0 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007690931 rounded to five decimal places?\nAnswer: 0.00769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10825667747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -572, -613, -382, 211?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 312\/(-14). Suppose -4 + 0 = -i. Let n be (-2)\/1*w\/i. What is the greatest common factor of 99 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00216382069 rounded to 5 dps?\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4073, -4094, -4137, -4208, -4313?\n\"Answer: -u**3 - 5*u**2 + u - 4068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41937 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-8))\/((-10)\/(-40)). Let h be 0\/(5 + -2)*m. Solve 0 = 2*q - h*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*g - 37 = 0, 4*w = -w + 5*g - 40. Let n be (-2 - w) + 51*(-5)\/(-15). What is the highest common factor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59\/((-236)\/(-6)))\/(2*(-9)\/(-332))*3\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -l, 4 = -2*c + 3*l - 5*l. Suppose c = -4*f + 5. Let k be (0 - (0 + -1))*f. Solve -5*n + 0*n - 15 = 0, -n - k = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-14 - 171\/(-12))*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 83. What is the biggest value in 4, l, -0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -331227 and -0.4?\nAnswer: 132490.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1781*d - 1758*d + 5266*d + 293*d**2 - 1757*d.\nAnswer: 293*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 0, 6*w = a + 2*w - 67. Let n = 105 - 38. Let h(z) = -2*z - a + n. Let b(m) = m**2. What is b(h(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.059 or 14\/23?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-14 + 7)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 30fd9d?\nAnswer: -30fd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*d = 13 + 44, -2*d + 233 = 21*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -61, -101065, 2 in increasing order.\nAnswer: -101065, -61, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 0.4, 1, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 77159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 5053*n**3\/3 + 2718*n - 2111. Differentiate j(q) wrt q.\nAnswer: 10106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5604686*c*s + 6278589*c wrt s?\nAnswer: 5604686*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Let j(q) = -140*q. Let r(s) = -2*s. Let o(a) = 2*j(a) - 280*r(a). Let t be o(h). Round t to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 0.3 (c) -161.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1261111 or -1261112?\nAnswer: -1261112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*d + 1245*d - 104232 + 4713 = -1288*d for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1876 and 103\/11256.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:25 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.92 + 1.228.\nAnswer: 2.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - 4 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136a79 (base 12) to base 15.\nAnswer: 65a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*f + 20, 3*h = -6*f + 4*f - 4. Sort -5, f, -2 in decreasing order.\nAnswer: -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/249 (b) -65 (c) -93.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 6 + 10 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(2125\/30)*(-20)\/(-6)*(-759)\/(-33)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 3*g + 4. Let a = 13 + -9. Let q be l(a). Let s be -2 + (-1)\/9*-14. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xidlxdixlaisl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 260279 divided by -9\nAnswer: -260279\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 - -223. List the prime factors of h.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 30, 27, 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/15*470\/188*9\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 192*s**4 - 850*s**2 - 5*s - 828394 wrt s?\nAnswer: 768*s**3 - 1700*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -10 + 18 + -21 + 52\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6716 + -6389. Do o and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 3, -0.4, 9, -5 in decreasing order.\nAnswer: 9, 3, 0.06, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by ((-6)\/(-6) + 18\/12)*544\/40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.769 + -0.231. Which is the third biggest value? (a) -3\/5 (b) -1\/7 (c) p (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and 8551?\nAnswer: 393346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2)*5\/2. Let v = -285.32 - -285.26. What is the fourth biggest value in v, n, 0.4, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 799, 1345, 1893, 2443, 2995?\n\"Answer: o**2 + 543*o + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 142, 468, 1092, 2110, 3618?\n\"Answer: 16*o**3 + 5*o**2 - 3*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23458748 (b) 3\/8 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3390*r + 5 - 926*r + 188*r - 2 - r - 2*r + r - 2*r - 2*r + 3*r + (3 + 1 - 5)*(r - r + 2*r) - 4*r + 4*r + r to g + m*r and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = g + 3. Let n be (-4)\/(1*-2) - g. Let a(i) = -2*i**3 + 5*i**2 + 8. Let p(u) = -u**2 - 1. What is n*p(q) - a(q)?\nAnswer: 2*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31139820?\nAnswer: 2, 3, 5, 172999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170245614 divided by -11.\nAnswer: -15476874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:12 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 19*s - 90 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.014, 2\/15, -1, -0.066 in descending order.\nAnswer: 2\/15, -0.014, -0.066, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (414\/(-759))\/((-10)\/11)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*v - 2 = -2*v, 0 = 3*l + 2*v + 5. Sort -3, l, 2, -5.\nAnswer: -5, -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 64 = 3*t. Let m be t + 30\/(-6) + (-1)\/(-1). Suppose -m*p = 3*h - 509, -3*h - 135 = -2*p - 650. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -13.469, 30, -1 in descending order.\nAnswer: 30, -1\/2, -1, -13.469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -3 + 3 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*z - 279*z = -890 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/60 + 2*g**2. Let x = 353 + -285. Let s(u) = 30927 + x*u**2 - 30927. Calculate s(y(f)).\nAnswer: 68*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 - 2*d - 15. Let j be g(-5). Which is the smallest value? (a) -2\/11 (b) 7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/7*s**3 - 48\/7*s**2 - 45\/7*s + 54\/7 = 0 for s.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 3*d + 116 - 155.\nAnswer: -3*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710*w - 28344 = -9*w + 661*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**48*l**(-3\/8)\/l)\/(l**(-16)*l\/(l*l\/(l\/l**(-34))*l)*l) assuming l is positive.\nAnswer: l**(229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37124\/(-9384) - (-11 - -13)*-2 and -85\/138?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/180 + a**5\/5 + 3*a**4 + 24*a**3 - a**2. Solve h(o) = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krvfkkvnvgrffkfnff. What is prob of sequence fvn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 12914871 to the nearest one hundred thousand.\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + 17\/51. Calculate the highest common divisor of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1872971, -7491881, -16856733, -29967533, -46824287, -67427001, -91775681, -119870333?\nAnswer: -151710963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10032, 10033, 10034, 10035?\n\"Answer: y + 10031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-2)))\/(q\/(q\/q**(-2\/9))))**(-12\/5))**(-33) assuming q is positive.\nAnswer: q**(-704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - (-631 - (1 + -6))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062956 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 100. Suppose -4*q + 12 = 4*b, q + j + 6 = -5*b. Is (900\/27)\/(2\/q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2328*n - 14037. Calculate t(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1947\/7 + -34703\/126. Let s = -5 + -10. Find the common denominator of j and (85\/(-105))\/(2\/s).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -497?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3644 or -0.1?\nAnswer: -1\/3644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 + 4*y. Let r be i(7). Suppose 5 = -t - 3*p, 5*t + 5*p + 14 = p. Let j = r - t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 15, 9, 3, 45, -59 in ascending order.\nAnswer: -59, 1, 2, 3, 9, 15, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Let q be (-1 + -2)*(-8)\/(-6). Put g, q, 0 in ascending order.\nAnswer: q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068532 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1703706 and -53\/408.\nAnswer: 6814824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = -4. Let t be ((-8)\/84)\/(7\/(-21)). Which is the closest to d? (a) t (b) 1\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -906 + 4*r - 718 - 3324*r**2 + 1624 to the form i*r + d*r**2 + a and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/444993 <= 5\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7647, -30793, -69369, -123375, -192811, -277677, -377973?\nAnswer: -493699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 563*j - 555. Calculate a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18506618959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in 2\/5, 1\/5, -1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:19 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 25. Let f be g(4). Let c(b) = f*b - 12*b - 4*b. Let q(w) = 4*w + 3. Let u(n) = 7*n + 5. Let i(a) = 5*q(a) - 3*u(a). Calculate i(c(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10210121100110000?\nAnswer: 10210121100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -1\/2, -1168?\nAnswer: -1168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, n: 1, i: 2, o: 5, w: 2}. Give prob of picking 2 w and 1 x.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22659540 and 44980.\nAnswer: 294574020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 less than -2031774.83179?\nAnswer: -2031809.83179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 5, 17255, -3, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523970.\nAnswer: 2, 5, 151, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (30 - (38 + 10)) - 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7818 divided by -2606.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 6362091?\nAnswer: 165414366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234905 is divided by 3912.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -554*g*u**3 - 40*g*u**2 - 4*u**2 wrt u?\nAnswer: -3324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13443329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and 345887.2786726.\nAnswer: 345887.2186726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2759 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 69\/(-114). Let x = -451 + 455. Sort l, 1\/7, x.\nAnswer: l, 1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -757\/10 - -3453\/40. Let q be (-4867)\/(-860) - ((1 - 1) + 1). Let u = -61\/86 + q. What is the common denominator of g and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37867, -37853, -37835, -37813, -37787?\nAnswer: -37757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 6634?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3\/2*526594\/843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 140*n**3 + 94*n**2 + 17740*n. Let m(f) = 70*f**3 + 46*f**2 + 8871*f. Let u(o) = 9*m(o) - 4*y(o). Find the second derivative of u(q) wrt q.\nAnswer: 420*q + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 + -1) + 1. Suppose 12 = 4*m - c. Let h(r) = r**3 - 3*r**2 + 3*r - 3. List the prime factors of h(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 327751191.\nAnswer: -1638755955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.6 (b) -0.11 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 7. Let b be o(5). Let p = 4048 - 4043. Put b, p, 59 in decreasing order.\nAnswer: 59, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 123 = -27. Suppose 0 = -13*w + f*w - 33. Suppose 4*j + n - 4*n - 11 = 0, w*j + 2*n = 4. Solve 0 = j*r - 8 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*j**2 + 383*j**2 + 381*j**2 + 380*j**2.\nAnswer: -101*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 915\/(-50) - (-9 - -2) and -21\/58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 7*w**2 - 6*w - 24. Let n(f) = f**3 - 13*f**2 - 11. Let p be n(13). Is d(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2 - (-1)\/2. Let p be (-8)\/(-3)*(-9)\/3*-2. Suppose g = h*g + p. Sort 0.5, -2\/17, g in descending order.\nAnswer: 0.5, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let s = 3 - u. Which is smaller: -13 or s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*2*3\/(-12). Suppose 0*b - 32 = -2*b. Suppose 3*z - 64 + b = q, 16 = z - 2*q. Calculate the greatest common divisor of w and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 + 5*a - 7. Let p(z) = -2*z**3 + 183*z**2 + 91*z + 95. Let w be p(92). Give t(w).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9 + 3, -68 = 3*f - y. Let q = 23 + f. Solve -3*b + q = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5300609\/2776 - -30551\/16. Calculate the common denominator of x and -91\/12.\nAnswer: 16656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2 (c) 32\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 - 43 = 0. Suppose 2*b + 13 = m. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125411 (base 7) to base 3.\nAnswer: 1012021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**4 - f**4 - 2*f + 7*f**4 + (1 + 0 - 5)*(-34 - 13*f**4 + 34) as d*f**4 + g*f**3 + r*f**2 + c*f + p and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6)*8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 8) to base 14\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2 + (-3 + 4 - 3)*(-12*x + 2 - 2))*(2 - 1 + 0 - 4 - 3 + 6 + (-3 + 0 + 2)*(3 - 5 + 4) + 1 - 1 + 2 + 4 - 2 - 4).\nAnswer: -50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 2586*o**2 + o - 41 + 15 + 2*o + 13.\nAnswer: -2586*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9)*(-2)\/(-6). Let u = s + 23\/54. Let z = -0.3 - -0.2. Which is the third smallest value? (a) z (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -287*f**2 + 1412*f - 1412. Calculate j(1).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 51 = -181. Let u be 5*(o\/(-10) + 1). Let c(q) = -13*q**2 - 32*q - 37. Let f(k) = 20*k**2 + 48*k + 56. Let s(d) = u*c(d) - 5*f(d). Factor s(h).\nAnswer: 4*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 24*n + 97. Let m be b(19). Factor -2\/5*c**m + 0 + 4\/5*c.\nAnswer: -2*c*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**2*h*w + 37603*d**2*j*w + 2*d**2*j + 2*d*h*j*w - 7*d*h - 227*d*w + 11*h*j - 36*w wrt d?\nAnswer: 12*h*w + 75206*j*w + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -94*g + 17. Let u(q) = 14*q - 3. Let r(k) = -27*u(k) - 4*y(k). Let t = 29 + -20. Give r(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + -0.91. Which is the closest to h? (a) 2\/7 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1133 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 6. Let n be g(8). Suppose h - 7*h = n*h. Let p(k) = k - 7. Determine p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 3*o + 41. Give m(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-178*g - 511*g - 101*g)*(2*g**2 - 8*g**2 + 2*g**2) + 0*g + g**3 + 0*g as y*g**2 + r + f*g + m*g**3 and give m.\nAnswer: 3161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 4\/4403653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 2*y**3\/3 + 5*y - 2. Let j(v) be the first derivative of s(v). Determine j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168434 by -662.\nAnswer: 84217\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - 44\/(-7). Let i be ((-6)\/(-4))\/(f\/20). Solve c - 6*c - i*g = 0, g = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/120 - v**5\/10 + v**4\/4 - v**3\/6 + v**2. Let j be h(5). Suppose 179 = j*d + 2*q + 67, -5*d = -q - 126. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 575*o**4\/4 + 1789*o**3\/3 - 932. Find the third derivative of s(l) wrt l.\nAnswer: 3450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 - -5) + (9 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2493*v**5\/2 - 47108*v**4 + 326835*v**3\/2 - 90990*v**2 - 26974*v + 408 = 0.\nAnswer: -2\/9, 4\/277, 1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:49 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 18 + 0 = 0. Let t = 23 - u. Suppose -5*g - t*a - 131 = -8916, 4*g - 7028 = a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 62. Let l be 1 + -2*(i + -4 - -6). Suppose 0 = 4*g - 3*d + 12 + 5, -10 = 2*g - 2*d. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*w**4 + 0 + 0*w**3 - 1\/2*w**2 + 0*w.\nAnswer: w**2*(w - 2)*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 983.4 + -815. Let d = f - 164. Round d to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/5 - 42*t**3 + 1006*t**2\/5 - 582*t\/5 - 360 = 0 for t.\nAnswer: -1, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 175 (b) 4\/5 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.43 and 7.\nAnswer: -17.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - v**3 + v**3 + (-4*v**2 + 3*v**2 + 3*v**2)*(-355*v + 243*v + 171*v).\nAnswer: 119*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 795972 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/715 and 53\/65?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose -k = -0*k - p. What is the third derivative of -k*l**2 + 2*l**2 - 2*l**5 - 2*l**2 wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from nnnnnnnnnnnunnnnnnn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320457 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037 - 2496622.\nAnswer: -2496622.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/5 + 7973*m**2\/5 - 21609*m - 36000 = 0 for m.\nAnswer: -4000, -3\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**40*k*k*k**(-5) assuming k is positive.\nAnswer: k**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 18 = k. Let v = 108 + k. Let b = v + -123\/4. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w - 411. What is y(-15)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:52 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 12, l: 6}. Give prob of sequence llr.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7285 + 7427. Solve 115*y = j*y + 162 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 209, 207, 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/80 - 5*q**4\/8 + 12*q**2. Let z(c) be the second derivative of p(c). Let x(t) = 2*t. Determine x(z(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -1083575.63?\nAnswer: 1083570.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:35 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 12) to base 2\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6648 = c. Let j = -35487\/16 + c. What is the common denominator of j and -29\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 3873*y**2 - 14725344*y + 2138144960.\nAnswer: -(y - 140)*(y + 7816)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**5 + 3*m**3 + 121*m**2 - m + 798 wrt m?\nAnswer: 120*m**3 + 18*m + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (3 + sqrt(612)*-3*-4 + -3)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 1269, 4367, 10415, 20397?\nAnswer: 35297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**18)**46*(m\/m**(-2\/5))**44)**(-21) assuming m is positive.\nAnswer: m**(75642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -18341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)\/w**(-2\/25))\/(w**(3\/2)\/(w\/((w\/w**(-2))\/w)*w)))\/((w**(-2\/7)*w)\/w**(-3)*(w\/(w*w**(-1\/2)\/w))\/(w\/w**(-7\/2))) assuming w is positive.\nAnswer: w**(-2847\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1663961439 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/528 + 1121\/2640. What is the nearest to 1\/4 in w, -4.65, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*14\/(-105)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 6*y**2 - 6*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-27)\/(-18)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2 + 1060*g + 343. Determine w(177).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 2 - 3*t**2 - 11*t**2 + 19*t**2 + t**3 to the form m*t**2 + l*t**3 + j*t + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/3 + 59*q**2\/2 + 690*q - 640. Let u be c(69). Factor u + 1\/6*a**3 - 2\/3*a + 0*a**2.\nAnswer: a*(a - 2)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 5 = r, -3*m + 4*r - 5 = 0. Let l = -906\/589 - -28\/19. Is l < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 303 - 515. Let v = 145 + l. Let o = -45 - v. Solve -3*u - 4 + 2 = -s, 0 = 2*u + 4*s - o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168974989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 5\/4 (c) -1186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7272 times 0.343\nAnswer: -2494.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/2 + 14802*z - 109549602 = 0.\nAnswer: 14802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4722062*h*y - 255715*h - 23 wrt y.\nAnswer: 4722062*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*s + 0*s + 14 = 0, 4*c - 3*s + 1 = 0. Suppose -c*a + 3*o = -a - 188, -5*a + 974 = 2*o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 51. Solve -x*m = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r + 5. Let h(a) = -72*a - 32. Let b(i) = 5*h(i) + 32*s(i). Let u(l) = -14*l. Calculate u(b(z)).\nAnswer: 112*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*x - 0*x + 18, 3*j + 3*x = 15. Solve -j*b = -11*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Let s = l + 1.5. Let i be 3\/1 + 0\/(-2). What is the third smallest value in -0.2, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116930*l + 5967 = -116813*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5 + 46*d**4 - 232*d**3 - 7326*d**2 - 7047*d = 0?\nAnswer: -9, -1, 0, 27, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.6099317 rounded to one dp?\nAnswer: -172.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31523 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 9*a**2 + 16*a + 19. Calculate the smallest common multiple of 1 and f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/6668811 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -106*u**2 + 35*u**2 - 2 + 36*u**2 + 36*u**2 + 7*u. Give p(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 - -7.83. Let k = h + -9. What is the nearest to k in 2\/17, -1\/4, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1\/(-6))\/(40\/30)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-7) - (-57)\/133. Solve n = d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -161885 + 161887. Let l = 67 - -24. Let m = l + -57. What is the smallest common multiple of m and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/3 + 10*d**2 - 48*d + 72 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69630 = -286*w - 2035*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) 77 (c) -0.3 (d) 54.2 (e) -2\/5 (f) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3054494827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4625947317.\nAnswer: 3, 31, 47, 443, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6669617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, j: 3, b: 5}. What is prob of sequence buu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4 + 363*x**3 + 6472*x**2 - 21972*x + 15136 = 0.\nAnswer: -344, -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30 - -8)\/((-2)\/8). Suppose 539 = 4*a - k, 3*k + x + 314 = 3*a. Let c = a - 25. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - (sqrt(2299) - (sqrt(2299) + 0 + -4)))*-4 + 6*2*sqrt(2299)*-6)*-2)**2.\nAnswer: -107008*sqrt(19) + 53117120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + -1 + sqrt(128)*-6)**2.\nAnswer: 64*sqrt(2) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**6\/6 + 27*j**5\/5 - 34*j**3\/3 + 51. What is the third derivative of z(o) wrt o?\nAnswer: 60*o**2 + 648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324324 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 430, 636, 842?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(64\/(-6))\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:29 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -256*x + 9943. Calculate y(39).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131170 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.19, 2\/7, -1\/6, -0.23, 3?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**5\/90 + 23*g**4\/54 - 32*g**3\/27 - 256*g**2 - 3988*g. Find c, given that q(c) = 0.\nAnswer: -16, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -63. Suppose -d*r = -15*r. Solve r = -s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17975 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:42 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -21) + 1 + (-127 + 145 - 125).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.8 or -33537\/8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19042728.\nAnswer: 2, 3, 793447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -1\/5, -0.26, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1\/10)\/(-74 - -73)*6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136472449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -39*b - 18. Let r(u) = 16*u + 8. Let f(s) = -2*g(s) - 5*r(s). Suppose 5*j - 7 = 3. Let h(w) = w + 3. Give j*f(a) + 3*h(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, x: 2, r: 1, z: 2, c: 2, w: 2}. Give prob of sequence zwz.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726 + 720 - 1446 = 42*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -1381332.601.\nAnswer: -1381335.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 52*q**2 - q - 305. Is 34 a factor of o(50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 4095. Suppose -111 - o = -4*q. Suppose 605 = 2*c - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooov when four letters picked without replacement from kooookkkkvkvok?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -156 (b) 14\/107 (c) 0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -6.055.\nAnswer: 1.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.2. Let g = 106 + -111. Which is the smallest value? (a) g (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s - 70 = -50*s. Is (-5 + s)*2*(-3898)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15988158 and 47964474?\nAnswer: 47964474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcjx when four letters picked without replacement from snjnspsscnsssssppxjc.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 573135*v**2\/2 + 82130387967*v + 5419357389666.\nAnswer: (v + 66)*(v + 573102)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + n = -2 + 10, -m - 2 = 2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35598428, 71196862, 106795300, 142393742, 177992188, 213590638, 249189092?\nAnswer: 284787550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((28\/7)\/4). Let p(l) be the second derivative of 13\/6*l**3 + 1\/4*l**4 - 13*l + i*l**2 + 0. Find the second derivative of p(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298 greater than or equal to -298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68298093 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbhbbbhfhhfh. What is prob of sequence hfff?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**4 + 30*h + h**2 + 5 - 3 + 0*h**4 - 31*h - 27*h**4 to b*h + f*h**2 + x + w*h**3 + d*h**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*((-30)\/(-2 + 7) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.5, -0.147.\nAnswer: -0.147, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 106*a - 103474. Give k(-379).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose -3 = o*m, -4*m + 20 = 2*p - 0*m. Calculate the remainder when 46 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.057 = -325753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p*p**(1\/2)*p)\/p)))**(3\/14))**(-1\/8) assuming p is positive.\nAnswer: p**(-9\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 4 = -10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 40 = -4*v - 6, v + 4*b + 14 = 0. Let x be (2\/3)\/(4\/v). Is x*(-158 + -1)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let k(m) = 14789257*m. What is g(k(a))?\nAnswer: -14789257*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1036 and 2332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037906629 rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11265660 or 16?\nAnswer: 11265660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -830 + 10.\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 240?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 + 53005*n - 529950 = 0. What is n?\nAnswer: 10, 52995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 491. Let a(w) = 6117*w**2 + 4*w - 2. Determine p(a(x)).\nAnswer: -12234*x**2 - 8*x + 495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, w: 5, f: 4}. Give prob of picking 1 f and 1 w.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 742 (b) 5 (c) 2\/13 (d) 2\/7 (e) -2\/819\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.936129 to three dps.\nAnswer: 1.936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(68)*1.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 + -128. Let o = l - 23.2. Which is the nearest to o? (a) -3 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)\/sqrt(7) - (sqrt(9) - sqrt(144))\/sqrt(3)) + 3 - (4 + sqrt(33)\/(sqrt(132)\/(sqrt(12)*-2))).\nAnswer: -1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 21*g + 47 + 4*g + 13*g - 3*g + 14*g**2. Let n(u) = 5*u**2 + 12*u + 16. Let k(r) = 17*n(r) - 6*v(r). Determine k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356*v**3 - 1 - 2*v + 4*v**4 - 2*v**2 - 3*v + 385*v**3 - 724*v**3 + 9*v to the form b*v**3 + o*v**4 + h + u*v + x*v**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*v + 8, 3*v + 8 = -5*i + 6. What is the greatest common factor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/104 and 8\/769457?\nAnswer: 6155656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3949909 or -3949946?\nAnswer: -3949946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*k = 95*k + 128*k + 1644 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*b + 4. Let y be b + 1\/((-2)\/(-8)). Let u(w) = -w - 1. Let f(o) = -4*o**2 - 5*o - 5. Give y*f(c) + 5*u(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*j - 4 = -4*g, 14 = 5*g - j. Suppose 0 = 4*l + 4*p - 32, 7*l - 7 = g*l + p. Does 14 divide -1*l\/(-3) + 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -6 - 7875\/(-225)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*s - 5, 17*r = 15*r + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -38.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7279431\/5 less than -1455885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 114 (b) 83.341 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and -14474?\nAnswer: 14463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + ((sqrt(70)\/(-6*-2*sqrt(10)))**2 - (sqrt(175)*1)**2*5) + 1.\nAnswer: -125273\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 22*j**3 + 794*j - 5*j**2 - 769*j + 4*j**2 + 5*j**2.\nAnswer: 22*j**3 + 4*j**2 + 25*j - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 391 + -392. Is z bigger than -7\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -40*k**2 - k + 1. Let f be l(3). Let o = 1096\/3 + f. Let p(i) = -3*i**3 + 46*i**2 + 88*i - 48. Let n be p(17). Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**4 + v**3 + v + 1. Let k(x) = 13*x**4 - 36*x**3 - 12 - 5*x**4 + 8*x**3 - 12*x - 16*x**2. Let u(t) = -12*g(t) - k(t). Factor u(l).\nAnswer: 4*l**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*r + 28, -f + 42*r - 32 = 38*r. Solve s + 18 = -4*s + 4*d, f*d = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 24*a + 976. What is the remainder when h(6) is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/11 (b) 0.2 (c) -6 (d) -2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61225 by 12245.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2684 - 934 = -50*s. Let b be 20\/153 + (-4)\/(-18). Let i = b - 233\/34. Calculate the common denominator of i and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10890 divided by 3.\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.028 - -0.258. Let s = -32.23 + h. Let p = 37 + s. Which is the third biggest value? (a) 0 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/(-2*204)*(-6 - -9).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37.5 (b) -0.1 (c) -0.8 (d) -1 (e) 14 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k - 32 = 0. Let h be 3\/(-15) - (165\/50 - -5). Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 - 14*t**2 - 33*t - 2. Let o be h(-5). Solve -557 = y - o for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-33)\/(-297)*-57)\/((-2)\/3186).\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14888*r = -14833*r - 935 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 285302, 285103, 284904, 284705?\n\"Answer: -199*o + 285501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20741 and -4.\nAnswer: 82964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 2. Let l(q) = 2*q**3 + q. Let s be l(-1). Let z = -16 - -11. Let h(v) = v + 4. Let x be h(z). Let w(t) = t. Give s*w(g) + x*d(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582039472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -280219, -561494, -842769, -1124044, -1405319?\n\"Answer: -281275*v + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*h**3 - 20*h**2 - h + 16*h**3 - 37*h**3 to the form z*h**2 + l*h + q*h**3 + d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -1\/3, 169\/68 in descending order.\nAnswer: 169\/68, -1\/3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/707 and -4 + ((-3116)\/8)\/(-2 + (-85 - 4)).\nAnswer: 18382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 4 + -4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.125 + -0.375. Which is the closest to -1? (a) 0 (b) j (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*r - 3, -3*r - 15 + 0 = i. Let w(h) = -2*h - 9. Let b be w(i). List the prime factors of (-3)\/(-1 + 0) + b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at most 20799257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let t(w) = -w**3 - 6*w**2 + 10*w + 9. Let u(k) = -3*p(k) + t(k). Give u(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406*s + 3 + 691*s - 2 + 701*s.\nAnswer: -14*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 2*z + 2. Let f(s) = -s**2 + s + 1. Let p(t) = -2*f(t) + w(t). Let k(i) = 119*i + 1. Give k(p(j)).\nAnswer: -119*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Suppose w = -5*j + 11, 0*w - 5*j = -4*w - 6. Let b be 1\/c + (0 - w). Solve 2*h - 5 + 3 = b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/18244 and -97\/33231446.\nAnswer: 66462892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-14) - -3 - 4*(-657)\/(-252)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**2 - 3*t - 1. Let n be r(-2). Let y = n - -37. Solve g - 2 = y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/385968 and -137\/820182.\nAnswer: 6561456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8.9. Let o = -0.3 - d. Which is greater: 2\/3 or o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 916300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 31*o**2 - o + 36. Let r be q(31). Let n(v) = -5. Let j(m) = -m - 6. What is r*j(k) - 6*n(k)?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 5\/54*u**3 + 0*u - 1\/54*u**4 - 1\/540*u**5 - 21*u**2 - 4. Factor i(y).\nAnswer: -(y - 1)*(y + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-131)\/(-2))\/(1\/2). Let z = -88 + a. Let n = z + -27. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748, 123, 1032, 1997, 3036?\nAnswer: 4167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1191 or -0.0199?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2 + 2*h - 2. Let p(o) = 4*o**3 - 6*o**2 - 11*o + 9. Determine -11*d(i) - 2*p(i).\nAnswer: 3*i**3 + i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-13*(-4)\/52).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40.4 - -40.6. Suppose 0*a + 15 = -3*a. Let i = -8 - a. What is the second biggest value in i, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -21) + (4 - 3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2160\/80 - (756\/(-324) + (-82)\/(-12))?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**2*y**4 + 6*w**2*y**2 - 10*w**2 + 3*w*y**6 wrt y.\nAnswer: 96*w**2*y + 360*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3108?\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 - d + 11. Let p be u(8). Let w be ((-12)\/1)\/(p\/(-4)). Suppose -5*x = -44 - w. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 10*o - 12. Let y be t(6). Suppose -20 = -y*m + 2*m. Let a = 12 + m. Is 3 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 34. Suppose -5*n + 20 = 5*w, 0 = u*n - w + 10 - 24. Let q(g) = 5 + 4 + n*g - 4*g. Determine q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -57997.7?\nAnswer: 7539.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 350b - -b?\nAnswer: 3518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 16*r - 11*r**2 + 5*r - 49*r**2.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 28353?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54566084*r*y**2 - 35583959*y**2 wrt r.\nAnswer: 54566084*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 5*i**2 - 2*i + 5. Let a be r(4). Suppose -4*x + 46 = -29*z + 31*z, 6 = -2*z. Is a <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**4 - b**3 - b**2 - 3*b + 1. Let x(m) = -254*m**4 + 4*m**3 + 4*m**2 + 12*m - 1486. Let g(a) = 4*p(a) + x(a). Differentiate g(h) with respect to h.\nAnswer: -1032*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 399228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29204745 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-220))\/((-10)\/84*15\/(-25))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*o - o - 6 = 0, -4*o + 24 = 4*m. Solve 12*h**2 + m*h**2 - 10*h - 507*h**3 + 517*h**3 = 0 for h.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 24*o + 42 = 0. Solve -2*p = 12 - o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - ((-450)\/11 - 8\/88))\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 226 - 128 - 176 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1257\/838 + ((-6)\/(-44))\/(3\/236). Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87684308274 + 87684396511.1439996. Let f = 88272.144 - d. Let i = f + -35. What is i rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.8, -5, -4, -78, -1\/4 in descending order.\nAnswer: -1\/4, -2.8, -4, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*i - 5*b, 188*i - 189*i - 3 = 2*b. Sort 1, i, 2.\nAnswer: 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + 2 - (-4 + 4 - 4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2, -2\/255, -1, -66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 e when three letters picked without replacement from bzacbzybzacezb.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.156 - -1.246. Suppose 4*u = 2*u - 3*w + 1, 5*u + 3 = -2*w. Which is the nearest to u? (a) -5 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = 5*l - 0*l, l + 5*g = 12. Solve 0 = -5*k - 3*s + 14, -l*k + 11 = -5*s - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4 - 1 + 4*d + d**2 + 0*d - 2*d**2. What is k(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w**2 - 16*w + 12. Let q(d) = -d**2 + d - 1. Calculate -p(s) - 12*q(s).\nAnswer: -2*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5845\/23 (b) -3\/7 (c) -32\/5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 774603 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58094\/513 - 2108\/19. What is the common denominator of y and -121\/90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11)**12\/(m\/(m*m*m*m**(-2\/13)*m)*m)**(-16) assuming m is positive.\nAnswer: m**(1332\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 187, 336 in ascending order.\nAnswer: -32, 5, 187, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 362*j**2 - 2*j + 36. Let u be c(6). Does 29 divide u\/45 + 16\/(-120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 2237475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556431451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1) + 9 - 4. Which is the fourth smallest value? (a) t (b) 19 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 9*s = -16. Solve s*a = -0*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 144 = -351 - 189 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -22*y**3 - 312*y**2 - 2*y + 16653. Let q(i) = 5*i**3 + 77*i**2 - 4163. Let m(r) = -9*q(r) - 2*v(r). Differentiate m(t) with respect to t.\nAnswer: -3*t**2 - 138*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j - 8. Suppose 0 = 5*f - 5*o - 10, -4*f + 3*o = f - 20. Suppose -4*z - 3*h + f = 0, 2*z - 5*h = 2 - 5. Let u be g(z). Solve a + 2 = -u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4877406 times 2?\nAnswer: 9754812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - 0)\/(9\/(-24)). Let x be (-1)\/(46\/f - 2). Solve 3*n - x = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 4*f - 13*f + (3 + 1 - 5)*(1 - 1 + f) to the form l + h*f and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 34671?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 5*u = -38*m - 60, 5*m + u - 35 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/234 - (-33)\/143.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1837)\/143 + 13 + (906\/(-819) - -1)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 310200331?\nAnswer: -310200305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2 + b**2 + 3*b - 5*b. Let j(z) = -6*z**2 + 7*z + 7. Suppose -3*o - 14 = 7. Suppose 15 = -3*d, n + 15 = -5*d - 12. What is n*j(x) + o*u(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -39. Let w = 11 + u. Let t = 25 - w. Which is the closest to 0? (a) -2 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206271295927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m = 16. What is the remainder when 15 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 2. Suppose -2*f + 4 = 12. Calculate the remainder when u(2) is divided by 384\/40 - f\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-28)*10 - (-41)\/2. Suppose 3*s - 26 = -5*c, -4*s - 4*c + 22 + d = 0. What is the highest common factor of s and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 0*d + 2525006*d**3 + 366*d**2 - 2525004*d**3.\nAnswer: 2*d**3 + 366*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632311*v**3 - 315208*v**3 - 317096*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -25*c**3 - 46683855*c**2 - 21793827844995*c - 4358763701645 = 0.\nAnswer: -933677, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/13 + 2\/13. Let u be m*-1 + (8 - 4). Suppose 3*y - 4*f - 20 = 0, 0 = -11*y + 6*y - u*f + 16. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from hpiiiihhiiiiiii.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16\/t*t)\/(t*t**(2\/29)) assuming t is positive.\nAnswer: t**(433\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-3 - -6))\/((-2)\/(-4)). Let f(q) = 5*q - 2. Let b(y) = -56*y + 26. Let i(l) = -19*l + 9. Let t(s) = 3*b(s) - 8*i(s). What is k*t(m) - 7*f(m)?\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1632\/435133 or -1?\nAnswer: 1632\/435133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8721633 + -4.873. What is l rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5*m - m**3 - 3 + 5*m + 3*m**2 + 3*m. Let d be t(3). Solve -2*v + 7*v = 3*a - 9, d*v + 5 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*b = -181*b - 19579. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -29 - 21. Solve -14 = -o - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*y + 65 - 318, 0 = -2*f + y + 94. Solve -41 + f = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 5:38 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 26, 81, 148, 221, 294, 361?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 divided by -4?\nAnswer: 407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbddlddblbbbdiibdlbd. Give prob of sequence bdid.\nAnswer: 49\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g**3 + 337*g**2 + 24*g + 4. What is k(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2041 or -2044?\nAnswer: -2044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/27 or -30?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -6\/5, -2\/49, 3.\nAnswer: -6\/5, -2\/49, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/97 + 281\/485. Factor 3\/5*k + 3\/5*k**5 + z*k**4 - 6\/5*k**2 + 3\/5 - 6\/5*k**3.\nAnswer: 3*(k - 1)**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231739?\nAnswer: 29, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 1. Let m(n) = -8*n**2 + 44*n + 44. Let t(x) = -88*c(x) - 2*m(x). Let u be t(1). Let a = -1 + u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 - 5*u. Let y be z(5). Suppose y = 4*w - 3*i - 6 - 2, -4*i - 20 = 4*w. Which is the nearest to w? (a) -2 (b) 4\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0 + 0)*(3 - 3 - 5*u)*(0*u**2 + u**2 - 2*u**2).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -411.95 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 19 in increasing order.\nAnswer: -3, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from kojmkmjojokmkojkmk.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from wkaalwawll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 j when four letters picked without replacement from qjjjjjqjjqj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1219359 plus -44.72?\nAnswer: -1219403.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97 and 0.481436415?\nAnswer: 96.518563585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6177?\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + -22 - (29 + -68 - 51).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 703.\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 37\/5 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003760 greater than 1003458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1125*h*l**5 + 3*h*l**2 + 178*h*l wrt l?\nAnswer: -67500*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1864791518 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + b + 2. Let k be p(-2). Suppose 4*y - 4 = k. Suppose 3*u - 7 = -2*x - 2, 0 = -5*x + y*u + 23. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) -0.5 (c) -22 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*r + 683 = 3*p + 461*r, 0 = -4*p - 3*r + 910. Solve 11*g = p - 163 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -10. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -371100, -742249, -1113398, -1484547, -1855696, -2226845?\n\"Answer: -371149*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 601 * 19\nAnswer: 11419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 2. Let b be (17 + -14)*(-2)\/(-3). Calculate v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178889 is divided by 35769?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -52?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 - -145. Let u = 562\/5 + x. Sort 1\/2, 0.3, u, -3\/4 in ascending order.\nAnswer: -3\/4, 0.3, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:26 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utqqutquuquxquqzqqql. Give prob of picking 4 u.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Solve 5*p = n - 27, 2*n - 1 = -r*p - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2505)\/2160 + (-4)\/9 and 31.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-30)*3 + 528\/(-1270). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 35. Let r(a) = -a + 3. Let j(m) = m**3 - 8*m**2 + 7*m + 3. Let v be j(7). Let y(c) = v + 0 + 7 + 0 - 4*c. Calculate f*r(k) + 4*y(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 8:53 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.4, -0.1, -5, 48 in decreasing order.\nAnswer: 48, 3\/7, -0.1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 1039 = -1300 - 703. Solve -302 = -17*y - k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 1. Let v = u + -11. Let n be 3\/(-2) + 1\/2. Which is the closest to -1? (a) -0.1 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 38*c - 601. Let n(x) = 3*x**2 + 46. Calculate n(j(k)).\nAnswer: 4332*k**2 - 137028*k + 1083649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.68 + 94.32. Let t = 96 - q. What is the closest to t in -1\/2, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.5 (b) -0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -874 + 864. Which is the biggest value? (a) 2\/3 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 5. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 2418?\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 2)*(5*v + 6*v - 3*v) - 785*v - 1471*v + 312*v as i + h*v and give h.\nAnswer: -1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 13250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 - 215. Calculate the remainder when 109 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 8472832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9 - 5 + 133*l - 100*l. Let q be u(0). Factor 4*h**3 + 8*h**2 + 20\/3*h + 2\/3*h**q + 2.\nAnswer: 2*(h + 1)**3*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/8)\/(((-189)\/28)\/3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272396616.\nAnswer: 2, 3, 19, 597361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m**4 + 5*m**3 + 5*m**2 + 8. Let o(j) = 12*j**4 + 6*j**3 + 6*j**2 + 8. Let h(b) = 5*o(b) - 6*z(b). What is the derivative of h(r) wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -312? (a) 58 (b) 0.3 (c) 2\/3 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 4473 = -4393 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -43. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(13)) - (sqrt(13) + sqrt(13) + (sqrt(13) - (sqrt(13) - (sqrt(208) + 5)))) - -5*(sqrt(13) + sqrt(39)\/sqrt(12) + 2))**2.\nAnswer: 49*sqrt(13) + 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90, -383, -886, -1605, -2546, -3715?\n\"Answer: -j**3 - 99*j**2 + 11*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-5))\/(4\/(-6)). Solve -2*c - 4*d - 10 = 8, -2*c = -2*d + a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7548\/13 in 3, 5, 2, -0.1, 0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m - 26. Let l(k) = -7*k + 9. Give 5*d(q) + 14*l(q).\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r**2 + 14*r - 81. What is the tens digit of d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - c + 5*c = -102, l - 57 = -c. Let s be (9\/5)\/(11\/l). What is the tens digit of (-66)\/(-4)*12\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 21. Let s be y(11). Let v(d) = 16*d - 12. Let b(t) = -t + 1. Give s*b(o) + v(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*f = -88*f + 12474 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5\/2, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722 is divided by 346.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*h**2 - 25*h - 5 wrt h.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 6. Let v(w) = w**3 + 4*w**2 - 4*w + 7. Let o be v(-5). Let p = u - o. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 8 = -4*g + 4*p, -2*g - 3*p = -17. Let r be g\/1*(14 + -14). Suppose -3*u + 4 = -2. Solve r = -u*a + 5*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 54*b - 618. Calculate the remainder when 109 is divided by x(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 12, 2\/15, -5\/6.\nAnswer: -5\/6, 0.09, 2\/15, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 2, p: 3, q: 1, w: 4}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 12*l - 14. Let k be t(4). Let r(q) = -3*q**k + 2524 - 2524. Let x(v) = 6*v**2. Give r(x(f)).\nAnswer: -108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000780588 rounded to 7 dps?\nAnswer: 0.0000781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let j be 2 + (s - -1 - 4). Let b be (j - 0) + 6 - -2. Solve 0 = 2*u - 4*l, -3*l = -7*l + b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)\/c)**(-2\/137)\/((c**3\/c)\/c*c\/c**13) assuming c is positive.\nAnswer: c**(1512\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/5 - (-2 + 4). Let l(a) = -4*a + 64. Let q be l(15). Let u be 2\/((q\/(-3))\/(32\/336)). Sort u, -2, f in increasing order.\nAnswer: -2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 - 147 - 34 + 63)*(2 - 2 + 2*p).\nAnswer: -462*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(15\/(-6)))\/(-2))\/(10142\/3688).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2249 + -2247. Solve 5*p + 5*y - 30 = i*y, -y = -5*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 2*l + 2*l + (0 - 2*l + 0)*(1 + 1 + 1) + 33*l - 67*l + 35*l - 3.\nAnswer: -7*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3299 - 16498\/5. Let u = 2 + -4. Which is the nearest to v? (a) 1\/2 (b) u (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, 8, -6 in increasing order.\nAnswer: -6, -2, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 250\/(((-16)\/(-12))\/2). Let c = u - 264. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434347.\nAnswer: 421, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 7*a - 8. Let f be r(-8). Which is bigger: f or 4\/191?\nAnswer: 4\/191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8593, -17253, -25977, -34765, -43617, -52533, -61513?\nAnswer: -70557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13331*i**3 + 10*i - 10*i - 6662*i**3 - 6655*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, 3, -603, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.4, -0.5, 1, -1\/3, -4\/7 in descending order.\nAnswer: 1, -1\/3, -0.5, -4\/7, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/(4 + 63\/(-15)). Suppose -5*j + 10 = -5*p, 2*j - 7 = -2*p - 19. Put p, 3, m in increasing order.\nAnswer: p, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146216 = -2522*v - 1228*v + 2258*v for v.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a. Let b(o) = -987*o - 105. Let v(x) = -19*x - 2. Let p be (210\/4)\/((-7)\/56*-4). Let d(n) = p*v(n) - 2*b(n). Give d(u(y)).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = 3*n + 3*c, 3*n + 5*c + 9 = 0. Suppose -p + 3 = -2*a - 3*a, 5*p + n*a + 93 = 0. Let f = p + 28. Calculate the lowest common multiple of f and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 15) to base 10.\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104\/(-40) - -3 - 46\/(-10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = -4*f. Let g be (-2)\/f - (-162)\/45. Let i = 8 - 5. Solve 5*l + 30 = -i*q, -g*l = -2*q - q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 747 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -4*f - 5*x, 0 = -4*f - x + 10. Suppose -q - 6 = -f*y - 3, -4*y + 20 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000602 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5033.\nAnswer: 5\/5033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - (-183 + 279))\/((-12)\/(-6) + (-189)\/94)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -627, -2443, -5463, -9681, -15091, -21687, -29463?\n\"Answer: y**3 - 608*y**2 + y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3940*f**2 - 1961*f**2 - 1977*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*f - 4. Let z be f\/1 + -2 + 0. Which is the third smallest value? (a) 0.4 (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*l + 6 = 0, 2*l + 1 + 5 = 2*t. Suppose t*c - 143 = c. Suppose c = 3*r - 4*j, -r - 43 = -2*r - j. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-8) + 1\/(-2). Suppose -4 = 5*l - q*l. What is the biggest value in -0.4, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.5 - 26.595. Let u = f - -0.0949175. What is u rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/(y\/y**(1\/15)*y)*(y**(-5)*y)**(-34))**(-2\/29) assuming y is positive.\nAnswer: y**(-4007\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 181 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, a: 3, f: 8}. Give prob of sequence saf.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 + 45 = -5*u, 0 = 5*y + 3*u - 62. Let d = y + -6. Solve -3*a = -d*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412467938?\nAnswer: 2, 59, 191, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296500 rounded to the nearest ten thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*s - 77*s = 119*s + 3942 for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 + m - 1. Let i be n(2). Let s = 191\/18 - 82\/9. What is the second smallest value in s, i, 2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 348, 520, 690, 858, 1024?\n\"Answer: -a**2 + 177*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (2 + 11 + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282.8340756 - 282.83. What is g rounded to 5 decimal places?\nAnswer: 0.00408","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -901, -3359, -7351, -12865, -19889, -28411, -38419, -49901?\nAnswer: -62845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12511377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -37\/3. Let s = 16276 + -16272. What is o in 2\/3*o**s + 2*o - 10\/3*o**2 + n*o**3 + 0 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 8*q**2 - 7*q - 4. Let i be c(-7). Let n be 2 - (3 + (-3 - 1)). Suppose -n*p = -2*p + 5. Put p, i, 5 in decreasing order.\nAnswer: 5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2590 divided by -14?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.4. Let m = 0.77 - 0.07. Let p = m - -0.1. What is the nearest to p in c, -3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4321 and 11.\nAnswer: 47531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -243 - -293. Suppose -6 = q*y - 6. Solve -3*h - 6 = -y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605500 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 201996222 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -470*n - 4497*n**2 + 697*n**2 + 470*n - 8871*n**2 - 3*n**2 + n**2 + 0*n**2 + (-2*n + 0*n + n)*(0*n + 0*n + n).\nAnswer: -12674*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 6*n - 4 + n to z*n + x and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 12928.1?\nAnswer: 6464.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 86 = 7*p. What is the first derivative of 0*m + m + 2*m**2 + p + m - 53 wrt m?\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -92. Let v(l) = 4*l**3 - 3*l**2 + 2*l + 1. Let a be v(2). Suppose -4*c + a + f = 0. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109434 by -78.\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-1020)*(-8)\/24)\/(2\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 16388125.\nAnswer: 409703125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270444?\nAnswer: 2, 7, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a9816 (base 12) in base 13?\nAnswer: 17066bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*w + i, -5*i + 11 + 44 = -5*w. Let m(z) = z**3 + 11*z**2 + 9*z + 14. Is 6 a factor of m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 10*w - 5. Determine x(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 16. Let j = -10 - h. Solve -3*x - 3 = j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, g: 1}. Give prob of sequence gx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 28 + 28.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h + 4. Let m(y) = 14*y + 4 + 0 - 1. Give 4*m(t) - 3*z(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 2}. Give prob of sequence bdbd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.2332384 from 23.\nAnswer: 36.2332384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1018*f**2 + 2993*f + 8238676?\nAnswer: -2036*f + 2993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - 39660\/(-48) - 3\/(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r**2 + 5*r**2)*(-9*r + 3 - 12*r + 9*r).\nAnswer: -12*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1457810274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 4, -34.\nAnswer: -34, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3923\/1160 - -1\/145. Find the common denominator of 6408\/(-2457) - (-2)\/(-26)*2 - -4 and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1506 - -1521. Is 30 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/103 and 39\/7.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 - 2 - (2 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.29. Let r = -0.56 + f. Round r to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**(-2)*x**23\/x**(-2) assuming x is positive.\nAnswer: x**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.275426486 to three decimal places.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(143)\/(5*(2*sqrt(11) + sqrt(11))).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (2 + -1 + 4)) + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 12 + 3. What is the lowest common multiple of 29 and v?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-15) - (-141)\/15. Suppose 11*a - 6 = j*a. Suppose -a*q - 4*t - 1 - 21 = 0, 0 = 5*q - 4*t - 6. What is the biggest value in 5, 0.4, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -906 + 5?\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -n + 397, -11 + 410 = 5*k + 2*n. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1017 - -2?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1854 = -4*d - k - 437, 1752 = 5*d + 4*k. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 232, 749, 1752, 3403, 5864, 9297?\nAnswer: 13864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/15, 3 in descending order.\nAnswer: 3, 2\/15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32248*r**4 - 6*r**2 - 1637*r wrt r?\nAnswer: 773952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 2*g**5 + g**4 + (-g**3 - 2*g**3 + 4*g**3)*(0*g - 2*g**2 + 0*g) + (10*g**2 - 2*g**2 + 2*g**2)*(5*g**3 - g**3 - 5*g**3).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**9)\/x**(-2\/21)*x**(-11)*x*x**(5\/6) assuming x is positive.\nAnswer: x**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:40 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/6 - 112*l - 1. Determine u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -643*h**4 - 24 - 1179*h**3 - 762*h**2 - 243*h**5 - 447*h - 221*h**4 + 219*h = 0. What is h?\nAnswer: -1, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 + 482. Suppose -i + 25 = 4*i, -3*i + 108 = 3*m. Calculate the remainder when h is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54874 is divided by 6065?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5) + 11 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/42)\/(((-99)\/(-231))\/(-1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87441313 divided by 1.\nAnswer: -87441313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 188, 190, 192, 194, 196, 198?\n\"Answer: 2*l + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -s + 3*m, 2*s - 2*m + 12 = 0. Which is the third biggest value? (a) 0.5 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 21. Suppose 0 = -23*i + 40*i - 34. Suppose 0 = -4*g - 6*k + i*k + 4, 0 = 2*g - 5*k + 5. Determine w(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8186, 17163, 26148, 35147, 44166, 53211, 62288, 71403?\nAnswer: 80562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n - 70. Let m be c(0). Let p = 132 + m. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 44. Calculate the smallest common multiple of 28 and k.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.25508*131.\nAnswer: -164.41548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.95 + -2. Let r = d + 4.05. Let c = 534 + -531. What is the closest to -0.1 in 7, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 133\/3 + (-2)\/6. Suppose -4*p = o - 61, p = 4*p - o - b. What is the remainder when 27 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.599 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 572 - 570. Solve -7*s - 29 = -l*s + y, -3*s + 5*y = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - (49 + -79) - -52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, o: 2}. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19107504?\nAnswer: 2, 3, 13, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7826 times 1\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 + (-76)\/(-6) + -7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 922020*t + 70843406700.\nAnswer: 3*(t - 153670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - (-1 + 0)) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 - 855\/90 - (-15)\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times -828.581?\nAnswer: 2817.1754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6423.\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c7370 (base 13) to base 3.\nAnswer: 11011112122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5060730522 - -96?\nAnswer: -5060730426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 + 4*o**2 + 4*o**2 + 6*o**2 + 9*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5892.7 - -5623. Let x = 270 + a. Put x, 0.1, 4, -13 in decreasing order.\nAnswer: 4, x, 0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:20 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from tsstsssvsspssksksk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19307 and 99678?\nAnswer: 4286154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1822987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 6. Let g be -4 + 4 + (-1 - (-2)\/2). Give s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.654485 to three decimal places.\nAnswer: -0.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064232.56 - 0.01?\nAnswer: -1064232.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -640 + -355?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {m: 3, b: 5, h: 4, j: 1, v: 1, x: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 824464 and 1648928?\nAnswer: 1648928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -2*r - 82200. Let x = 7787 - r. Is (-4)\/22 - (1 - x\/(-33)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-2)\/(-6)). Suppose -3*i - 8 = -7*i. Factor -3*b**4 - 6*b**3 - 4*b**2 + 5*b**i - 4*b**r.\nAnswer: -3*b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 13*f - 8. Let v be b(-9). Let l = 223\/8 - v. What is the second biggest value in l, -0.1, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - h = 180, 3*v - 37296*h + 37298*h + 85 = 0 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2\/n*n**(-13))**(3\/4) assuming n is positive.\nAnswer: n**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3258 and 245617.\nAnswer: 4421106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*t*w**3 + 25*t*w**2 + 74*t*w - 678*t - 1840919*w**3 wrt w?\nAnswer: -180*t - 11045514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/11, -3, 4, -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928.2501kg to micrograms.\nAnswer: 928250100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-26)\/r)\/r)**(-18)*(r\/(r\/(r*r**(4\/7))))**12 assuming r is positive.\nAnswer: r**(3660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 2. Suppose c + 10 - 5 = 0. Let k = c + 8. Let g(f) = f + 1. Let w(d) = -d + 1. Let z(a) = -g(a) + 3*w(a). Calculate k*z(l) + 2*q(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3718 + 4228 = 0. Suppose 0 = -3*g - 2 + 41. What is the remainder when d is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -64. Suppose -5*k + 2*z + 300 = 75, -k + z = -g. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**6\/40 + h**5\/12 + h**2 - 5. Let g(z) be the second derivative of x(z). Find the third derivative of g(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g**3 + 91*g**2 + 10*g + 3. Give b(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/40 + z**4\/12 + z**3\/6 + z**2. Let a be h(-1). Suppose 34 = 5*y - w, y + 4*w + 4 = -y. Solve 0*i + y = a*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -271 (b) -1 (c) 8 (d) -5 (e) 3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 10*z - 13*z. Let w(l) = 2*l - 1. Let a be w(1). What is the highest common factor of z and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -140, -108, -76, -44, -12, 20?\n\"Answer: 32*k - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 302?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 39*o**2 + 100*o + 20*o - 3 + 20*o - 139*o.\nAnswer: -39*o**2 + o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 444977303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*x = -3*x, 2*f + 3 = -5*x. Let l(v) = -v + 3. Let m(u) = -1. Let s(h) = -4*h**2 + 132*h + 283. Let c be s(35). What is c*m(n) + f*l(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 5)\/(2\/9). Let a be (110\/m + -3)*-4. What is the third smallest value in a, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10 - m**2 - 4*m**2 + 5*m + 0*m**2.\nAnswer: -5*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -29\/29959?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.07 - 73.07. What is the closest to -5\/6 in -0.5, -1\/5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 18*h**2 + 16*h + 54. Let w be m(19). Suppose -375 = -64*s - 11*s. Let d = 0.4 - -0.1. Put w, d, s in decreasing order.\nAnswer: s, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q + q + 2*q + (q + q - 4*q)*(1 - 4 + 4) - 3*q - 13 + 13)*(-5*q + 1 + 3*q - 209*q**2 + 192*q**2) in the form o*q**3 + j*q + m*q**2 + d and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*b + 502791, 5*b + 23846 + 646539 = -4*o. What is o rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 4*x - 5. Let f be r(4). Let q = f - 21. Factor -k**4 + 24*k**5 + 4*k**3 - 5*k**4 - q*k**5.\nAnswer: 2*k**3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/1080 - 67*i**5\/540 + 55*i**4\/9 - 350*i**3\/3 - 1444*i**2. Let o(t) = 0. Calculate t.\nAnswer: 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 7. Give m(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 - 3*t. Let x be b(-5). Let i be -121 - (8\/x)\/(24\/(-60)). Let s = 132 + i. Calculate the highest common divisor of s and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from {k: 1, j: 4, u: 5, y: 2, e: 1, n: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3 = 2*j, 0 = -4*n + 55 - 51 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 1. Let u be r(1). Solve 0*t + 2*t = u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 208492651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 994, 3576, 9400, 20086, 37254?\n\"Answer: 270*z**3 + z**2 + 689*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256703605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.44374 - 29.4437. Let v = -6 - q. Round v to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -61.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 80\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5218659 decades in years?\nAnswer: 5.218659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1. Let j be 0 + 2\/(-3)*6. Let l(p) = -p**4 + 2*p - 4. Let c(z) = j*w(z) - l(z). Find the second derivative of c(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (361 + 238\/14)\/(1 + 1) and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001876101 rounded to five dps?\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 383150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + (-3 - -3) + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 692763 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-3))\/((-13)\/(-234))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 388261, 3105772, 10481865, 24845830, 48526957, 83854536?\n\"Answer: 388215*q**3 + q**2 + 3*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1018 - 7.3018. Let y = -0.046 - -0.346. Which is bigger: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 27134.1832 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.792464 decades to years.\nAnswer: 7.92464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2983 by -3.\nAnswer: -2983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*l + 3. Let o(z) be the second derivative of -z**3\/2 + 7*z. Let f be o(l). Are f and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 2)*(5*j - 3*j - j)*((4 - 3 + 0)*(-4 + 2 + 1) + 2 - 6 + 3 - 1 - 2 + 1 + 1 - 4 + 2).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11939 + 11941. Solve -2 = -d - 4*r, 5*r + 4 = c*d + 4*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 4, w: 5}. What is prob of sequence wwg?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 40150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 9. Let l be q(-6). Suppose -l*u + 4*t = 148, 165 = -5*u - 2*t - 99. Let o = -36 - u. Calculate the remainder when 62 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003305961038 to seven dps.\nAnswer: -0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3360734960 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(539)*2).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, j: 2, g: 1, u: 1, q: 2}. What is prob of sequence gu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -33. What is the third derivative of -10 + 10 - 13*s**6 + 3*s**2 + s**p wrt s?\nAnswer: -1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzhk when four letters picked without replacement from {o: 10, k: 3, h: 1, z: 2}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -220\/7 (b) 21 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304 - 295. Put -2, -5, -1, f in ascending order.\nAnswer: -5, -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -915.2 or 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 1541 - 25. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 637, 1998, 4547, 8656, 14697?\nAnswer: 23042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -551364 * -0.014.\nAnswer: 7719.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1472*i - 1. Give s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6 + 6*y**2 - 3*y**2 - 4*y + 0 - y**2. Let f = -1 + -5. Let q(n) be the third derivative of n**4\/24 + n**3\/6 + n**2. Calculate f*q(i) - b(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(560)\/sqrt(10))\/((sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72)*2 + sqrt(72) - sqrt(72)) - sqrt(72)))\/sqrt(9)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*v - 10*v + 57, 0 = -4*v + t + 43. Does 13 divide (-1 + -16)*(v - 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 26*c**2 + c - 22. Let k be r(26). Suppose 4*q - k*w = 600, -68 = -4*q - 3*w + 532. Round q to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r + 1. Let p(b) = -5*b + 243. Let z(t) = -6*f(t) + p(t). Let d be z(-18). Solve 2\/3*o**d - 2\/3*o + 0 + 0*o**2 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29058.\nAnswer: 2, 3, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) -1\/4 (c) -8 (d) -27 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 14*a + 2. Let o be p(-15). Let m(u) = 3*u**3 + 38*u**2 - 15*u - 23. Let d be m(-13). Put 1, o, d in descending order.\nAnswer: d, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-24)\/(-9) + -3). Let d = 11 + y. What is the third derivative of 4*v**2 + 7*v**5 - v**d - 6*v**5 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3216 plus 0.0039?\nAnswer: -0.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 0.2, 18, 1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13969203*o**4*v**3 - 2*o**2*v**3 - 30*o**2*v**2 - 2*o - 3*v**2 - 1297 wrt o?\nAnswer: 335260872*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 61*a**3 + 3*a**2 - 3*a + 2. What is the units digit of l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*z + 5*c, 1637*z - 5*c = 1634*z - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130185)\/462)\/263*7\/24*-2.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**26*c)\/c*c\/c**(-17) assuming c is positive.\nAnswer: c**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45654.48 litres in millilitres?\nAnswer: 45654480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b5 + -8?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 93 = -75 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(810)*2)\/(sqrt(16)\/(-1*sqrt(8) - sqrt(8)) + sqrt(2) + sqrt(4)\/(sqrt(6)\/sqrt(3)))*6*-5)**2.\nAnswer: -10368000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8548 - 7078 = -70*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -24*y**2. Let w(h) = 35*h**2. Determine w(o(b)).\nAnswer: 20160*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/4*6)\/(-6). Let t be (-4)\/(-14) + (-4)\/28. Which is the biggest value? (a) -0.4 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53873 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50205917 to the nearest integer?\nAnswer: 7086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 + 41*x + 4. Let l(s) = 2*s**2 - 19*s - 2. Let w(g) = -6*i(g) - 13*l(g). What is w(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by 984.\nAnswer: 217\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {v: 2, e: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124.9962 * 1.\nAnswer: -124.9962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19042 at most 38085\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 133 + 1079511105\nAnswer: 1079511238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1765000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 + 10 - 12*y - 13*y**2 - 363*y.\nAnswer: 2*y**2 - 375*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 8 - 9 + 10 - g**2.\nAnswer: -g**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/430144 and -123\/5390242.\nAnswer: 172487744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 101, 96, 91?\n\"Answer: -5*g + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 111101011100110010100110?\nAnswer: 111101011100110010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 75.83804 weeks?\nAnswer: 45866846.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -30, -44, -58?\n\"Answer: -14*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957337546.\nAnswer: 2, 3, 492889591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*l - 450 - 1656 + 166.\nAnswer: 1350*l - 1940","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -1\/3 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3909*d**2 + 9*d + 84*d - 3911*d**2.\nAnswer: -2*d**2 + 93*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15)\/(-75*(-27)\/29160).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by ((-6)\/(-7))\/(111\/4921)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14012.8 and 246825?\nAnswer: 232812.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37\/2 (b) -0.2 (c) -1\/3 (d) -2\/7 (e) -0.4 (f) 10 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -350, 1\/4, 1, -5, 0.3 in increasing order.\nAnswer: -350, -5, -0.4, 1\/4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1254)\/4)\/((-2)\/4). Suppose -2*y = -5*i - 412, 3*y - 3*i - o = -0*i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76059 and -30.059.\nAnswer: -76089.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + 2 + -5.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 6*z + 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 15*h**2 + 3*h - 15. Let y be s(15). Suppose 0 = -10*x + 5*x + y. Suppose 0*b - 1614 = -x*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127153 or 127157?\nAnswer: 127157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 179, 13 in decreasing order.\nAnswer: 179, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470414 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/480 - 13*f**4\/96 + f**3\/2 + 23*f**2. Suppose y(b) = 0. Calculate b.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -18*z - 28. Calculate r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 13001\/11484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037197487.\nAnswer: 31, 463, 281279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 - 168. What is the closest to -1 in p, -0.01, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1157 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.1 + -121.9. Let o = 140.9 + x. Which is the closest to -1? (a) o (b) 3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**4\/12 + 19*v**3\/6 + 4*v**2. Suppose 0 = -2*c + 12 + 4. Let t be d(c). Sort 1, t, 2 in decreasing order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -2 + 7 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + v**2 + 12*v**2 + 3 in the form p*v**2 + a + w*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from oxiwxoiwoooio.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 9. Let g be j(-7). Find the second derivative of 14*o**g - 13*o - 3 + 3 wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 take away 2.432?\nAnswer: 1213.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 81*a**2 - 4*a - 447. Calculate k(-81).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3623128 or -3623127?\nAnswer: -3623127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29772*r + 58381*r - 31232*r)*(-2 - 1 + 2) - 2*r + r + 2*r + 0 + 2*r + 0.\nAnswer: 2626*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19373000 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g + 5*g. Let p = 0.6 - -1.4. Let d = p - -2. Which is the smallest value? (a) 5 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/68)\/((-2)\/4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.9391 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 5. Let g(i) = -i**3 - 10*i**2 - 7*i + 26. Let v be g(-9). Suppose 13*h = -5 - v. Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 76. What is the hundreds digit of (z - -8)\/((-8145)\/(-8150) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26736 is divided by 3276.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*m**3 - 234449*m - 1161298?\nAnswer: -42*m**2 - 234449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-5 - 3*a + 5 + (-4*a - a + 4*a)*(2 + 0 - 1) - 2*a - 2*a + 0*a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-81)\/(-6))*(-16)\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11124 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6573 + -6538. Suppose 4 = -4*i, 6*i - i = -2*m - 11. Is o not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -15*t. Let m(f) = -2*f + 6. Let g be m(4). Let a be -4*g\/4*1. Let r(j) = -3*j - 4*j + 7*j + j**a. Determine r(q(u)).\nAnswer: 225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 3*c**2)*(6 - 2 + 17).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 116 + 1192 + 778 - z to the form t*z + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105345441 (base 7) to base 9.\nAnswer: -13056660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140482823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8563625 to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 4*l = -144, -839*l + 43 = -5*d - 836*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14281.881573 rounded to the nearest integer?\nAnswer: 14282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -13.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/5 - 216*v**3\/5 + 4394*v**2\/5 - 17736*v\/5 + 19656\/5 = 0. Calculate v.\nAnswer: -126, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) -0.2 (c) 9 (d) 5\/13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.068, -80, -171, 0.3, 1?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:28 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1505 and 9800.\nAnswer: 421400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*6\/(-9) + (-163)\/(-81). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(-1 + sqrt(1584) + -1))**2.\nAnswer: -2400*sqrt(11) + 79400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/72*8*(-51)\/2. Suppose -j - j = -58. Let u = c + j. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -41*o. Let g be z(5). Let f be 0 + -5 + 3 + -316. Let n = g - f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwsswqsuwswuwwq. Give prob of picking 2 s and 2 q.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by 176982\nAnswer: -66\/29497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1129 - 4.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 17*i + 64 = 24*i. Solve 0 = i*p + 17*h - 18*h + 11, 6*p + 3*h + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.005 + -0.005. Let g = y + -8. Let u = g - -6.5. Sort 2\/5, u, -3, 1\/3 in increasing order.\nAnswer: -3, u, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, -6, -2 in decreasing order.\nAnswer: 198, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 55499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:06 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/273*(-10 + -1 - -14). What is the second smallest value in 7, -5, r, -4\/7, 12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:15 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5232 = -5*w - 2*u, -5*w + 8*w = 5*u + 3164. Suppose 541 + w = 4*n - 5*x, 4*x + 4 = 0. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3313, -3319, -3335, -3367, -3421, -3503?\n\"Answer: -u**3 + u**2 - 2*u - 3311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from tjjrjfjjw?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a*i**3*x**2 - 237444*a*i**3 - 349*a*i*x**2 + 3*a*x + 9*i**3*x - i**3 - 2*i - 10214*x**2 wrt x?\nAnswer: 30*a*i**3 - 698*a*i - 20428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*1*(-1 + 3)\/2. Sort -1, q, 0.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -588348, -588332, -588320, -588318, -588332?\n\"Answer: -g**3 + 4*g**2 + 11*g - 588362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**8\/4032 - z**6\/180 - z**5\/30 + z**2. Let x(u) be the third derivative of a(u). Differentiate x(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5031.05 to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379286 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 1 - 1120*h**2 - 1154*h**2 + 2200*h**2 - h**2 - 2*h**2 + 2*h**2 + (4*h - 2*h + 0*h)*(-5*h - h + 4*h) - 2*h**2 + 0*h + 0*h.\nAnswer: -81*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:01 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*s = 83, -5 = 3*s + 4. Let v = 11 + l. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64748877 is divided by 7088?\nAnswer: 7085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22906*c**3 - 22*c - 13*c + 6*c**2 - 2 - 22908*c**3 to the form y*c**2 + n*c**3 + f + g*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 + sqrt(119)\/sqrt(28))**2.\nAnswer: 17*sqrt(17) + 4917\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 1119*s - 106219. Determine b(-88).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*-2*(-7395)\/(-580)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2695, 2755, 2809, 2857?\n\"Answer: -3*f**2 + 69*f + 2629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7925232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 2*f**2 + 25*f - 57. Let u(l) = -2*l**3 - 5*l**2 - 50*l + 114. Let m(r) = 5*k(r) + 2*u(r). What is the first derivative of m(b) wrt b?\nAnswer: 3*b**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 4, v: 4}. Give prob of picking 2 z and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 137 = 5*s, 2*s - 4*s - 5*x = -30. Suppose d = -0*d - 32. Let k = d + s. Is k smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15567761 to the power of 1\/2, to the nearest integer?\nAnswer: 3946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 7*k**2 + 4*k - 4. Calculate the remainder when (-110)\/(-66)*78\/10 is divided by t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 938 + -946 + 78 + (1 - (2 + -4))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134 less than 3?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19526 is divided by 279?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374.9 - 340. Let v = 34 - w. Let k = v - -2.9. Which is the third biggest value? (a) -10 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321570 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let c(k) = 21*k - 3. Give 2*c(m) + 10*w(m).\nAnswer: 22*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (107 - 105) + (-6 - (18 + 4))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09941 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4))\/h*h*h)\/(h*(h\/(h*h**8))\/h*h)*(h\/(h*h*h**(-2)*h))\/(h*h**(-2\/29)) assuming h is positive.\nAnswer: h**(965\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 - -209. Let w = s - 48. Suppose 0 = -4*p + 3*a + w + 144, 0 = 3*a. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 755929, 25 in increasing order.\nAnswer: 3, 25, 755929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -3*n + 6, -5*b - 20 = 0. Sort n, 0.2, -6.\nAnswer: -6, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 1\/2 (c) -312 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229138986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 44, -6, 27, -1 in increasing order.\nAnswer: -6, -1, 27, 44, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -188184, -376378, -564572, -752766, -940960?\n\"Answer: -188194*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 28. Let v be c(-15). What is the remainder when v + -8 + 121 - 1 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/(-3)*39\/26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1824610 and 16561019?\nAnswer: 2815373230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -51. Suppose -5*c + 14 = -f, -f = -3*c + 5 + 5. Let k be 15\/2 + 1\/(-2). Sort f, k, j in increasing order.\nAnswer: f, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 2*l. Let f be (-31)\/(-4) - l\/24. Suppose 3*r + f = 7*r. Solve 2 = n - r*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1477*i - 1464. What is the remainder when 20744 is divided by r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 19 + -6 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 + 6*n + 9. Let w be g(7). Suppose -2*t + 56 = 2*k - 0*k, 2*k + 44 = w*t. Let y = t + -2. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 less than -0.11?\nAnswer: -2611.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -24*p**3 - p + 5. Let g be z(-2). Let k = 204 - g. Sort k, -2\/9, 0.3.\nAnswer: -2\/9, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252228 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: Is 802643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(8\/(-6)*1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 j, and 1 b when four letters picked without replacement from ejnjxjnjbjenejjenjuj.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + -78. Let l = -29 - -54. What is the remainder when l is divided by (r\/26)\/((-2)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -7\/20*o**5 + 7\/6*o**3 + 4*o + 1\/6*o**4 - 5 - o**2. Let w(h) be the first derivative of a(h). Solve w(n) = 0 for n.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 68*m**2 - 4*m + 2. Determine j(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3182 + -5?\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2017025, 8068068, 18153141, 32272244, 50425377, 72612540?\n\"Answer: 2017015*h**2 - 2*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9441 or 1?\nAnswer: 2\/9441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 62*w - 2065. Calculate y(19).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 10 + 4. Suppose h + 76 = 3*r, r + b*h = -0*h + 32. Suppose 4*z - r = -u - 0*u, -179 = -4*u - z. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 13 + -8 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-68479)\/(-95263) + (68\/8 - (-1419)\/(-154))\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 71963892 divided by 35981946\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 95119, 26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 12*w - 30. Let l be b(14). List the prime factors of (l\/(-3))\/(1\/96).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3686 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -950023*q**3 - 830133 wrt q?\nAnswer: -2850069*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*g**3 + 79*g**3 + 52*g**3)*(4*g - 6*g + 4*g) - 2*g**4 + 2*g**3 - 2*g**3 to j*g**2 + f*g**3 + s*g**4 + n*g + m and give s.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, -0.008, 1\/6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 23 = -2*y - b, 5*b + 5 = 0. Suppose y*s + 0*s = 186. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -33*l + 5152. Calculate j(154).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 4*a + 5. Let h be k(5). Suppose 6*f + 625 = 11*f. Suppose 0 = 9*t + 80 - f. Calculate the highest common divisor of h and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 2.2. Let m = 0.04 + p. Let y = m + 2.1999824. What is y rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3)\/(-12) - 2\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Differentiate 7*v + 1 - 3*v - g*v - 2 wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-6)\/(-96)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -8.8, -52, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -119. Which is greater: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 1. Suppose -t = 2*t + 3*g - 6, 5*g - 6 = -4*t. Let a be w(t). Solve 2*m - 2*x + 0*x + 6 = 0, m - 4*x = a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1319*v = 1092*v - 435 - 1608 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**3 + 2*b**2 - 4*b + 4. Calculate the remainder when k(2) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 140\/(-50) + 2107\/490. Factor 2*k - 1\/2*k**2 - b.\nAnswer: -(k - 3)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 2 + -2 - -78. Let o = 53 - z. Let a = -15 - o. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5, 2*a + 4*y = 2 + 8. Suppose 0 = -a*m - 2 + 17. Suppose -5*w - 38 = -l, -m*w = 2 + 3. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -85?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22182, -22183, -22184?\nAnswer: -22185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - s + 9, -5*y - 3*s + 52 = 17. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {k: 1, s: 2, g: 7}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.3 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 542*y - 542*y - 53*y**2 + 5*y**2 + y**2 - 4*y**2 + (5 - 5 - y)*(-y - y + y) + y**2 + 4*y**2 - 2*y**2.\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.43 and -0.21?\nAnswer: -0.5103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11975 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*m + 2. Let t be 12\/((-6)\/(-4)*m\/6). Factor -142*v + 65*v - t + 67*v + 50*v**2.\nAnswer: 2*(5*v - 3)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 266*d - 1688. Determine i(-7).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 6. Let y be r(-3). Suppose -1 = -5*s + 5*b - 6, s = -y*b + 19. Solve -s*i - 4 = 2*z, -3*z = 3*i + 6 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2 + 1 + 6*x + 1 + x**2. Let v(d) = -d**3 + 3*d**2 + d + 1. What is the remainder when c(-7) is divided by v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 4*a + 16. Let n be u(4). Let r = 8 - -7. Let w(g) = -r*g**2 - 20*g**2 - 14*g**2 + n*g**2. Let i(y) = 7*y**2. What is i(w(z))?\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2\/(-10))\/((-327651142)\/40956370 - (-8 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.0176 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6133 is divided by 91.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10907960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtwttdhdwtdwwttwd. Give prob of sequence htww.\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {e: 2, n: 1, s: 1, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241, 1177, 1101, 1013, 913, 801?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3600 + 980. Let g be 2*-1 + 21102\/16. Let c = g + s. Find the common denominator of 73\/2 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) 2\/663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38632 minus -31?\nAnswer: 29.61368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*g - 8911 = 45*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1101 and -0.5.\nAnswer: -1101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4*(-479)\/(-2395))\/(1\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -5, -4, 0.\nAnswer: -165, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24\/10 + 6\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489168 and 4986.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38242, 152962, 344156, 611818, 955942, 1376522, 1873552, 2447026?\n\"Answer: -o**3 + 38243*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*p + 4*i + 2, -3*p = 5*i + 5. Let a be (1*-2)\/((-2)\/(-5)). Sort -2, a, p in increasing order.\nAnswer: a, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, -5, -6, 0.2, 0.1, 43 in descending order.\nAnswer: 43, 0.2, 0.1, 2\/29, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2\/(-8) + 306\/72. Suppose 0 = -0*w + w - 5, x*q - 100 = -3*w. Solve 4*k = -2*p + 5*p + 13, -3*k - 5*p = -q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {e: 9, v: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0.5 (c) -5 (d) 72\/19 (e) -0.052 (f) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**3 + 5084733*j**2 - 3*j + 171765406 with respect to j.\nAnswer: -12*j**2 + 10169466*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*r + 7138 + 2365 = -19692 + 2459 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and -0.13.\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 - 2*u + 9*u**2 - 11*u**2 - 10 - 1 in the form p + m*u**2 + c*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4. Let y(g) = g**3 + 10*g**2 + 25*g + 3. Let t be y(-6). Let n(j) = 3. Calculate t*s(k) - 4*n(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3078 and 61\/570.\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -33\/17 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63232 + 443802\/7. Let x = y - 168. Let d = -28.4 - -38.4. What is the nearest to x in 1, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -127219528*j*q + 21*q + 670908 wrt j?\nAnswer: -127219528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25769 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:02 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:26 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -175784 (base 12) to base 16\nAnswer: -62914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - g + 18 = 0, 0 = 3*r - 5*g + 13 + 11. Is -5 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d - 30. Does 9 divide y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -5*q + d - 35, -2*q - 4*d - 24 = 0. Which is the nearest to 0? (a) q (b) -2\/15 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-15))\/(388992\/194500 + -2). Round h to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 52*w + 8*w + 14 = -2*c - 16*w - 14*w, -10 = -5*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 827, 2826, 6737, 13202?\nAnswer: 22863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 4, 77.\nAnswer: -4, 4, 6, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (1 - (3 - 2)). Let i be v\/(-10) + 23\/(-15). Let g(n) = 40*n + 6639. Let r be g(-166). Is r smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 9 = 2*p + 43*i - 29*i, -9*p + 3*i + 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2679.1230907 + 2693.32303. Let s = -14.2 + i. What is s rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74\/3 + 26. Suppose 0 = 11*d + 14*d + 100. Which is the nearest to -2\/7? (a) p (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -32. Let s(u) = 5*u + 5*u + u - o*u. Let q(j) = 3*j**2. Give s(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -370 (base 16) to base 5\nAnswer: -12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2912, 2913, 2914, 2915, 2916?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(448) + (6*(sqrt(7) + -2))**2.\nAnswer: -192*sqrt(7) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.988722 - 0.05.\nAnswer: -17.038722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*(-12)\/10*325\/(-26). Let r be g\/21 - 6 - (-4)\/(-4). Suppose 24\/7*k**2 - r*k**3 + 9\/7 - 26\/7*k - 1\/7*k**4 = 0. Calculate k.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77\/2547 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-6))\/((-15)\/45). Suppose 4*l = 4*a - 288, -l - 5 + t = 0. Suppose a - 25 = s. Calculate the lowest common multiple of s and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 11*s**7\/105 + 13*s**6\/24 - s**5\/60 - 1255*s**4\/12 + s**3\/2 - 2*s**2 + 2*s - 68. What is the second derivative of z(o) wrt o?\nAnswer: 264*o**2 + 390*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5, -2*n + 20 = -4*n - 4*f. Solve n = -2*m - 3*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 - 2*c + 1. Suppose 0*k - 12 = 4*k + 4*y, -5*k - 3*y - 21 = 0. Give h(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235 + 3053\/13. Let v = 11.4 - 10. Let k = v - 1. What is the smallest value in k, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + 3*r**2 + 299*r - 1793. Calculate i(6).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -572 and -0.08?\nAnswer: 45.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 4. Let p(d) = -24*d + 33. Let t(i) = 33*m(i) - 4*p(i). Let o(a) be the second derivative of a**3\/2 - 2*a. Give t(o(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*20\/(-10) + 23. Let v(w) = 7*w**2 - 5. Let p be v(5). Calculate the highest common factor of n and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 23. Let k = a - -20.94. What is k rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(10) + 0 + sqrt(99)*2.\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 - 3*s**3 + 826*s**2 - 3*s + 162 wrt s.\nAnswer: -40*s**3 - 18*s + 1652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*h - 5*o, -9*h + 26 = 483*o - 487*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:41 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 110, 113, 116?\n\"Answer: 3*v + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:40 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -31. Let h be (g*6\/(-3))\/2. Let o be 12\/(-8) - 6\/h. Is -2\/35 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 679\/776*20\/175?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52047*2.7\nAnswer: 140526.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and 7448.7298.\nAnswer: 7448.8198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**8\/10080 - v**7\/5040 + v**6\/360 - 3*v**5\/5 - v**4\/24 - v**2 + 51. Let p(u) be the third derivative of b(u). Give p(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4962569106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 - 184468*h + 4253555378 = 0.\nAnswer: 46117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 71. Let b = 1152 - 1143. What is the remainder when o(0) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9 = -3*t + 6, -2*y + 4*t - 24 = 0. Let b be 76\/(-6)*y\/4. Let v = b - 10. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/4 - 147*x**2\/8 - 231*x\/8 - 39\/4 = 0. Calculate x.\nAnswer: -1, -1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120.151 + -121. Let a = d + 0.84965. What is a rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770 (base 10) in base 7?\nAnswer: -11035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**8\/784 - 4*a**7\/245 + 167*a**2 + 7. Factor h(t).\nAnswer: 3*t**4*(t - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004997 is divided by 668317?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/14 - (224\/16 - 18). Let u = 7 + -7. What is the closest to u in 0.2, h, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31b (base 15) to base 12.\nAnswer: -4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*n**3 + 48*n**3 + 408516430*n - 408516429*n.\nAnswer: -325*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Suppose 0 = -2*x - x + 6. Let g(w) = 3*w**2 + w**x - w**2 - w**2. Determine g(s(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/34 and (-10)\/45 + (-2842)\/252.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*h = 140*h + 3*g - 676, -h = 4*g - 182. Calculate the remainder when 183 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.038 or -0.165?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 42. Let j = -18 - x. Solve d**j + 2*d**2 + 2*d**2 + 11*d**4 + 16*d**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/9, 0.3, 43\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 2892\/270 - 35\/25) + 170\/(-90)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6517)\/684 + (-7)\/(-1) and -33\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3437*w**2 + 68802*w - 17. Give r(20).\nAnswer: 1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 - 123881*b**3 + 557428*b**2 - 247744*b = 0. Calculate b.\nAnswer: 0, 1\/2, 4, 61936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0*w + 0 + 0*w**3 - 1\/24*w**4 - 23*w**2. Let y(o) = o. Give f(y(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 2, z: 1, d: 3, t: 3, x: 1}. What is prob of sequence xfd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/220*4)\/(-1)*(-12)\/960*25\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 261 + 87*n - 261 + (0 - 1 + 2)*(2*n - 5*n + n).\nAnswer: 85*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 4*j - 6*j - 3*j + j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39295, -44948, -54371, -67564, -84527, -105260, -129763?\nAnswer: -158036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1046192, 2092431, 3138670, 4184909?\n\"Answer: 1046239*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 177116 (base 8) to base 13\nAnswer: 2382b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131274\/6630 - (-114)\/(-30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*s - 64*s - 149*s - 312*s - 15*s**2 - 2*s wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*s, 0*s - 36 = -4*s + 5*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10 = 3*c + 4*p, 2*p + 20 = -2*c. Let n(u) = u**2 - 5*u + 3. Let s be n(3). What is the units digit of (1\/1)\/(s\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0 (c) 0.05 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a tonne in kilograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5. Suppose 2*f - 3*f - 4 = 0. Let l be t(f). Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/7 (b) 0 (c) 0.064 (d) -0.1 (e) 3 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen tenths of a milligram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243 is divided by 1109.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37333965698443 less than 6?\nAnswer: 37333965698449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4131370.\nAnswer: 2, 5, 31, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -4*j + 40, x = 23*j - 26*j - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(300))**2 + 0).\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 1591430*w - 17505488.\nAnswer: -2*(w + 11)*(w + 795704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.8 (b) -5 (c) -0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 + 39*t + 34. Give d(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 3 - 28*h - 25*h.\nAnswer: -42*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - (-4)\/(-2)) + -2. Suppose a*v = 4*x - 40, 24 = 4*x - 2*v + v. Suppose -3*h + x = -2*h. Calculate the highest common factor of h and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2033 + -2032.8. What is the biggest value in v, 3, -586?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c - 4. Suppose c*g - 2060 = 4*g. What is g rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -3. Let i = 8 + -6. Let x = 0.3 + 0.1. Which is the nearest to -1\/2? (a) i (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8162*n**4 + 60*n - 3183*n**2 - 60*n + 3074*n**2 wrt n?\nAnswer: -195888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c + 3*s = -27, -s - 21 = 4*c. Let z be (-8 - -8)*1\/c. Solve 0 = 2*d - 10 - z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 394397 + 117765. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -0.2.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 685081 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135 + -35. Let g = -163 - n. Let y(b) = b**3 + 7*b**2 + 6*b + 4. Let i be y(-4). What is the greatest common divisor of g and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 2.1. Let c = k - -2. What is the second biggest value in -1\/3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1 - 8)\/(12\/(-330)*-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 + 1 = 0. Suppose 0 = 3*j + i*j - 385. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -0.2. Let i = -41 + 40.6. Let g = -28 + 24. What is the second biggest value in y, i, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 6 - 2 + 6 - 2*z**4 to the form a*z**2 + x*z**4 + u + k*z**3 + y*z and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7103 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000085628 rounded to six decimal places?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 5. Let n(k) = -1 - 1029*k**2 + 2 + 1028*k**2. What is l(r) - 5*n(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -461 - -1?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) - 34\/28. Let n = -1146.1 + 1218. Let j = n + -72. Which is the closest to -0.1? (a) u (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 938 (b) 2\/7 (c) 1 (d) -3739 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 19 = 20*n - 13*n - 12*n, -5*w + 27 = 3*n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19999972 + -0.2. Round c to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + (8 - 8) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 2. Suppose 3*q + c*q + 119 = 4*i, -2*i + q + 55 = 0. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:23 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**2 - 756 + 12*j**2 - 2*j**2 - 2*j**3 - 23*j**2 + 2*j**2 in the form z*j**2 + g + u*j**3 + k*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 2. Find the second derivative of -q + 0*q**4 + 2*q + 3*q**z wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/9*(-106)\/(-8) and 31\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*b - 4304, 0 = -b - 3 + 2. Let k = 2285 - t. Suppose 0*q - k = -4*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2182 - -3012. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 17*d + 47. Let v be l(23). Suppose -v*f + 408 = -181*f. What is the greatest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13330 or 13308?\nAnswer: 13330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -3499 and -4781847\/1367 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27669130?\nAnswer: 2, 5, 19, 107, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 14\/9, -1\/2, -1\/3, -2?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 78 = a. Let y be -2 + (-1 - a\/(-10)). What is the nearest to y in -0.2, -2, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {k: 3, a: 4, l: 9}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3647 or 1908048\/523?\nAnswer: 3647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.7 + -6.3. Let r = u - -20. What is the nearest to -1 in r, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 - 143. Let d = r - 26. What is the remainder when d is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -70, -135, -212, -295, -378?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0*z**4 - 1\/270*z**5 + 11*z + 3\/2*z**2 + 0*z**3 + 0. Let t(s) be the first derivative of g(s). Factor t(a).\nAnswer: -2*a**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -80\/19 - 2\/19*u**3 + 72\/19*u - 12\/19*u**2 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15109 - -20153. Calculate the least common multiple of 4 and x.\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuxxxrrruxu. What is prob of picking 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24182.3+31321202\nAnswer: 31297019.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/((-2)\/18). Let s be 6\/10 + (-2)\/(-5). Solve 3*b - p = -3*d, s + 1 = -2*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164 - 122. Solve -a - v = 13*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(54)\/(sqrt(9) + sqrt(27)\/sqrt(3)))\/(sqrt(2) - sqrt(8)*2 - sqrt(2)).\nAnswer: -sqrt(3)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -485231 by 6.\nAnswer: -485231\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1174371*a**3 + 820*a**2 - 183.\nAnswer: -7046226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 1\/12*b**4 + 2\/3*b**3 - b**2 + 0 + 38*b. Calculate the remainder when 10 is divided by c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 - -3.27. Let l = -1 + 2. Let a = v + l. What is the closest to -1 in -3, 5, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 3*u + 5, -2*q - 5*u + 25 = 0. Suppose q*g + 0 = -x + 3, -4*g + 9 = 3*x. Solve -5*c = -2*v + 20, c = 5*v + x*c + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y - 2678 = 1487. What is the remainder when 195 is divided by y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0156 and -64124112131?\nAnswer: 64124112130.9844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.9 - -10.8. What is the fourth smallest value in -1\/3, 0.2, -5, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - v + 2. Let x(l) = -7*l**3 + 5*l**2 - 337*l + 8. What is 4*m(f) - x(f)?\nAnswer: 3*f**3 - f**2 + 333*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 3*j**3 - j**3 + (-4*j + j + 2*j)*(-2*j**2 + 0*j**2 + 4*j**2) - 3*j - 15*j**3 + 3*j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/11 and ((-57)\/(-66) - 1)*(14 + -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-115)\/1380)\/(1\/3))\/(1\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 6*m + 9. Let y be a(-7). Suppose 2*s = -y*s - 308. What is the units digit of 112\/11 - (-14)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 19 = q, 5*q = -515*n + 513*n + 55 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.184258 to one dp.\nAnswer: -118.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - 24 - (-22 + -28).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2330 and -0.31519193658.\nAnswer: -2330.31519193658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99978 is divided by 111.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 + -173. Let x be h\/14*(-96)\/(-20). Solve 12\/7*s**3 + 18\/7*s**2 + 2\/7*s**4 - x - 8\/7*s = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from sssmesmeessesmem?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 15 + 192. Let x = s + 75. What is the greatest common divisor of x and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073113 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n = -32*n - 544 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*n + 63 - 63)*(4*n + 3*n + 0*n)*(3*n**2 - 2*n**2 + 0*n**2).\nAnswer: -203*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7197*n + 2*n**2 + 2401*n + 2403*n + 2397*n. Let g(j) = -32*j. What is u(g(v))?\nAnswer: 2048*v**2 - 128*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/4)\/(-6*(-5)\/(-80)). Let h(o) = 39*o**2 - 3*o - 7. Is h(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5334 divided by -2667\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p. Let f(j) = -8*j**2 - 52*j - 144. Let x(g) = 4*b(g) + f(g). Factor x(n).\nAnswer: -4*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - 3. Let i = -80 - -46.6. Let g = i + 33. What is the biggest value in s, 9, g?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 228942126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011136 rounded to six decimal places?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -124, -188?\n\"Answer: -64*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -279, -306, -185, 138, 717, 1606?\n\"Answer: 9*f**3 - 7*f**2 - 163*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffuldlldiddggfflff. What is prob of picking 1 u and 1 d?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(0 + 1 - 2 + (-3 + 2 + 0)*(-2 - 3 + 6))*(-121*s - 54 + 49*s + 56).\nAnswer: 432*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 16 = -3*p, -16 = 414*p - 410*p - 4*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4249 + 3b72?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 49 (b) 0 (c) -5 (d) -2\/33 (e) 197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 - 13267\nAnswer: -13267.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8787 - 8760. Solve 0 = -4*v + 5*y + 32, -63*v + 3*y + o = -58*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 - 11604*t**2 - 8479260*t - 91873100 = 0?\nAnswer: -1445, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17241 - 42*f**2 - 8639 - 8602.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, 4, 6, -4.\nAnswer: -17, -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 678 (c) -5 (d) -9\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 42*h - 7826 = -83*h for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72.05 and -5903510416?\nAnswer: 5903510343.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = v - 101, -24 - 41 = -3*p - 5*v. Let a(i) = 18*i - 60. Let t = 867 + -862. Let h be a(t). Calculate the highest common divisor of p and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -11. Suppose 0 = 3*j - 31 + 4. What is the remainder when 55 is divided by ((-114)\/j)\/(4\/n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3225 divided by -5?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*f**3 + 3)*(1 - f - 1) + f**4 + 0 + 0 - f**2 - 15*f**4 + 2*f + 16*f**4 + 0*f.\nAnswer: 4*f**4 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/3)\/s)\/(s\/s**(-4\/5)))\/(s**(-6\/7)*s**(1\/4)) assuming s is positive.\nAnswer: s**(-361\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1*-1 - (-4 + sqrt(117)*-1 + sqrt(117))) + 3*((sqrt(117) - (sqrt(117) + -1)) + sqrt(117))*-3)*-5.\nAnswer: 25 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3372*l + 425339. What is o(-126)?\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 3*d**5\/5 - d**2\/2 - d + 16. Give f(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = 238 + 112, 3*l = -1418*o + 1417*o - 39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u - 2*u)*(48*u - 25*u**2 - 48*u) + u**2 - u**2 + 2*u**3 + (0*u - 2*u + 0*u)*(2 - u**2 - 2) + 6*u + u**3 - 6*u.\nAnswer: 105*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*z - 102. Let v be 22\/z*(-6)\/(-10). Which is the closest to -1? (a) v (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -69*p + 174*p - 58*p - 32 - 49*p. Give i(21).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 67*t**4 - 4061*t**3 - 7777*t**2 + 4060*t + 7844 = 0?\nAnswer: -37, -2, -1, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9883*i - 7703.\nAnswer: -9883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 23. Let r = d - -23. Suppose r + 13 = 5*w. Let q(f) = -f**2 + 6*f - 4. Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 117515467271.\nAnswer: 117515467271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4571 - -4573.789. Let z = d + 0.211. What is the nearest to z in 1, -1\/2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 5095.95?\nAnswer: -30575.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 9*x**2 - 3*x + 12. Let a be l(-7). Let h = a - -31. Let j(c) = -4*c + 10. Let f be j(11). Is f greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4697 = -0*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 31*v - 3 + 8 + 15 = -2, 3*m - 2*m + 2*v = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 739 + -738.202. Let q = -0.202 - n. What is the second biggest value in -2, -12, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let b(r) be the third derivative of 0*r**3 + 8*r**2 - 1\/6*r**4 + 3*r + 0. Determine b(y(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 83*3\/(-2 + -1). Suppose -83*o = -65*o + 1494. Are b and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + ade?\nAnswer: ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = -2. Let -s*m**2 + m - 5*m - 2*m - 3*m = 0. Calculate m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/((-22)\/(-99)). Suppose -6*q + 9 = -j*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867371, 867239, 867019, 866711?\nAnswer: 866315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**2 - 28*k + 54. Let v(j) = -19*j**2 + 42*j - 80. Let r(c) = 8*n(c) + 5*v(c). What is r(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 + -174. Find the common denominator of (-188)\/(-30)*(44\/w - -5) and 133\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*g - 35, 71 = 5*m + 23*g - 24*g for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073835 rounded to 5 dps?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0.1, 2\/5, 0.0978, -3 in decreasing order.\nAnswer: 2\/5, 0.1, 0.0978, -2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1215)\/171 + (8 - 1050\/133). Let j(y) = -y**2 - 7*y - 5. Give j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 19, 47, 87, 139, 203?\n\"Answer: 6*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose 0 = -c*i + 5*i - 4*x - 16, -4*x = 4. Suppose -58988 = 2*a - a - 3*l, -295016 = 5*a + i*l. What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - -0.6. Let m = -3 + 2.5. Let r = m + 0.3. Which is the nearest to r? (a) u (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/3928385 and -43\/58140098?\nAnswer: 290700490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {u: 4, a: 5, y: 1, t: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 192*j**2 - 549*j.\nAnswer: -3*j*(j + 3)*(j + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(180) - (sqrt(35)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: -3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 3*t, 0 = -5*s + 8*s + 2*t - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*q - 497 + 497)*(2 - 3 + 3) - 7*q + 3 + 9*q + 1.\nAnswer: -128*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6434899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-32)\/(-20) + (-396)\/(-15) and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*k + 402*k - 199*k - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/2))\/(o\/o**6*o*o))\/((o*o*o**1)\/(o*o**(-1\/11)\/o)) assuming o is positive.\nAnswer: o**(31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.5 - -23. Let d = -8.9 + h. Round d to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 7*w + 2*w)*(-58*w**3 + 80*w**3 + 79*w**3) + (-2 + 1 - 1)*(-w**4 + w**4 - w**4).\nAnswer: -806*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a - 1 - 3*a + 0*a. Let p be v(-1). Solve 2*o + p*o = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.8. Let n(t) = -t**2 - 5*t - 7. Suppose 7*p - 6*p + 4 = 0. Let w be n(p). What is the third smallest value in 1\/3, w, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100404211 (base 5) in base 9?\nAnswer: -674664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from {y: 2, p: 4, x: 2, q: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x)**(-48)*(x\/(x*x**(-5\/6)))\/x**(-5) assuming x is positive.\nAnswer: x**(-541\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/261*(-203)\/58\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, g: 3, p: 1, e: 2, y: 1}. Give prob of sequence ep.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26241614 and 128870.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 2, 1 in increasing order.\nAnswer: 1, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 662 = -6036. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (2 + -5 + 3)) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2.5844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 463572035.99998988 - 463571534. Let u = f + -502. Round u to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 - 32 = -3*u, 2*u + 3*s - 15 = 0. Suppose 0 = -4*l + 4*c + 12, l + 0 = -2*c + u. Calculate the lowest common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = -2*d, 2*p + 2*d - 254 = 0. Let k = -82 + p. Are k and 48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + u**2 + 0*u**2. Let c(y) be the third derivative of -y**5\/24 - y**3\/2 + 5*y**2. Let s(f) be the first derivative of c(f). What is s(i(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 3.9.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41070*h**3 + 1521*h**2 - 6*h.\nAnswer: -246420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 22231311?\nAnswer: -22231303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:26 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 15 - ((-40 - -29) + 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 16002608?\nAnswer: -32005216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 130*m + 260. Let q be f(-2). Solve q = -4*s + 5*y + 4, -y - 9 = 2*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*-1*sqrt(64) + sqrt(64) - sqrt(64))\/sqrt(2))\/(sqrt(28)\/(-2*sqrt(7)*1)*5))**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11655*j + 5081. Is b(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*i - 11, 3*i = 5*u - 27 + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrsvrvlvttvllvjvrrr. Give prob of picking 1 l and 2 v.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -426, -618, -818, -1032, -1266?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2389*v**2 + 6138 wrt v?\nAnswer: -4778*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*(-13)\/(-1872)*80\/36.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 383.8130432 to zero dps.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(43*l**3 + 46*l**3 + 30*l**3) - 34*l - 1 + l**2 + 34*l + l**3.\nAnswer: -594*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4842 + 1743*v + 1710*v - 3451*v)*(-2*v**2 + 2*v**2 + 2*v**3) to the form d*v**3 + b + g*v**2 + n*v**4 + o*v and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2354 = 2*a, 9*a = 4*x + 13*a + 2348. Let h = -538 - x. What is the highest common factor of 160 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.357 (b) -1\/4 (c) -0.8 (d) -2\/3 (e) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2314555, 3\/2 in increasing order.\nAnswer: -2314555, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 9:40 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20258945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:34 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-15))\/1)\/(-5*(-7)\/105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v + 2135 = 388*v + 779 - 5224 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 - -5056. Suppose 5*l - v - 36 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75509 - 15379 = -4328*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 14*j - 90. What is the lowest common multiple of 18 and r(8)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4003798574 + 0.7.\nAnswer: 4003798574.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 - (-2 - (-3 - 2)). Let p be 141\/l + (-3)\/12. Let c = p + 23. Calculate the greatest common divisor of 55 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772900224.7 rounded to the nearest ten thousand?\nAnswer: 772900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 148 = -16*h. Let u(i) = 58*i**2 + 2*i + 1. Let f be u(-1). Let t = 106 - f. What is the remainder when t is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**3 + 32*w**2 - 49*w**2 + 17*w**2.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 2*j**4\/3 + 6*j. Let c(u) = 2*u**2 + 64 - 64. Give l(c(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 7*n - 4. Let t = -3 - -8. Let s = -14 + t. Does 12 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2)*c*c**(2\/3)*c)\/(c\/c**(1\/4))**(-1\/42))\/(c\/c**(-1\/6)*(((c*c**(-2\/17))\/c)\/c*c*c*c)\/c)**(17\/2) assuming c is positive.\nAnswer: c**(-657\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -61 (c) -3 (d) 12 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -115.3 and 11.2.\nAnswer: -1291.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (1 - 1) - -1359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14672 divided by -6\nAnswer: 7336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/12*4*(-27)\/18. What is the derivative of q*u**3 - 2*u + 11 - 9*u**2 - 22*u**3 - 10*u**2 + 19*u**2 wrt u?\nAnswer: -54*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2060686g?\nAnswer: 0.0000002060686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Let f(m) = -48*m - 5. Let v(a) = 64*a + 12 + 26*a + 41*a - 11*a. Let t(l) = -12*f(l) - 5*v(l). Calculate t(g(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 12) to base 3\nAnswer: 201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1641)\/(-11487))\/(((-82)\/14)\/(-1))*-1.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 9*f - 20*f + 3*f + 5*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 110709467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3985 - -3989. Solve -2*y + k + 10 = -2, w*k + 36 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 23*a - 9. Calculate m(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 9*k - 102. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.65 + -1.1. Let s = -1.6035 + c. What is s rounded to three decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037844499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10465.1082s to days.\nAnswer: 0.1211239375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 135*u + 5*u**2 - 12 + 153*u - 236*u.\nAnswer: 5*u**2 + 52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1303, 1348, 1397, 1450, 1507, 1568, 1633?\n\"Answer: 2*i**2 + 39*i + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7698*x - 3*x**3 - 2574*x - 2574*x - 2550*x + 2*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f - 6. Let y be r(-6). Let h be y + 14*7 + -2. Suppose -5*s = -4*g - h, 5*g = 2*s - 0*s - 52. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + 0.34. Let o = 5219\/20 - 261. Let n = -7\/40 - o. Which is the closest to 1? (a) 0 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/3 - 705725*g\/3 - 11527642 = 0. Calculate g.\nAnswer: -49, 705774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 8 = 10*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/12 - 5*v**4\/6 + 195*v**3\/2 - 206*v**2. What is u in m(u) = 0?\nAnswer: -13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, y: 4, f: 3}. Give prob of picking 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74488 and 13672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371249487 to the power of 1\/2, to the nearest integer?\nAnswer: 19268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 73 + 23 = 0. Suppose -c + 22 = -g. Solve 2*f + g = 2*p, 0 = -4*p + 3*f + 25 - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49919, 1, 0.2, 0, -5, 5, -2 in decreasing order.\nAnswer: 49919, 5, 1, 0.2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 946, 972, 1016, 1078?\n\"Answer: 9*b**2 - b + 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*j + 6, -5*j = -5*c + 20. Let q = c - 5. Let m = q + 7. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564 - 553. Let a(f) = 89*f + 86. What are the prime factors of a(t)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 110, 381, 908, 1775, 3066, 4865?\nAnswer: 7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 3\/28 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t - 6. Let s be x(-6). Let u be (6\/18)\/(2\/s). Let f = 4 + u. Solve -10 - 5 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 285 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -0.7. Let x = 1.3000003 + c. Round x to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, n: 5, y: 2, e: 1}. Give prob of sequence nnf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 123096.6ms?\nAnswer: 2.05161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47966, 48032, 48138, 48284, 48470?\n\"Answer: 20*l**2 + 6*l + 47940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -2\/21, 22, 0, -0.3, 0.3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4642475682.\nAnswer: 2, 3, 13, 59518919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.028 and 44.1412.\nAnswer: 44.1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3203345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + t - t + (-1 + 1 - 1)*(-17*t + 13*t + 6*t + 28).\nAnswer: -4*t - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 1 + (1 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 2*a + 2405*a**2 - 2742*a**2 + a to w + n*a + y*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((16 - 8) + 25) - 10.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 20818\/16 - -1. Let r = -1304 - a. What is the common denominator of 2\/(-6)*(-267)\/14 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.2 rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from mmdmmmmmddm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 568*j - 236427. Give b(514).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 8*d**2 - 7*d - 4. Let n be f(7). Let x be ((-26)\/n)\/((-8)\/(-80)). What is the greatest common factor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/192*20\/(-7)*12\/(-860).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + 1 + -2)**2*5 + 4.\nAnswer: -20*sqrt(5) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(143) - 2*sqrt(143)) - sqrt(143)) + sqrt(143)*-2*4)\/((sqrt(528) + sqrt(528)*2)\/(-2*sqrt(300) - sqrt(3))).\nAnswer: 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*m**3 + 147*m**3 - 5*m**2 + 2*m**2 - 2*m**2 wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1208*z - 1345*z + 3288 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3 - 6*q + 0*q**2 + 0*q**2 - q**2. Let w be a(-6). Suppose -w*y = -7*y + 540. Round y to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 5224 + y + 5226 - 10461 to h + a*y**2 + m*y and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, -3\/2, 1, -8, -1\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, m: 4, x: 7}. Give prob of picking 1 x and 2 d.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300\/44 + 6\/33 + 2 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/12 + w**3\/2 + 2*w**2 + 18*w. Let t be x(-3). Suppose 5*f - 16 = t. Solve 2*l + 2 = -f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2.0099, 0.043, 12, 0 in increasing order.\nAnswer: -2.0099, 0, 0.043, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 589a4c0?\nAnswer: 589a4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 23. Is 11063\/52 - (-1)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2358 is divided by 265?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 1, o: 13, j: 1, n: 1, d: 1}. Give prob of sequence mdja.\nAnswer: 1\/73440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1113361\/132 + 16867\/2. Find the common denominator of -79\/14 and y.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/(-98)*-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -29*h - 391. Let d(k) = -92*k - 53. Is d(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015887 rounded to six dps?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804853400.\nAnswer: 2, 3, 5, 7, 429727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 500787.8 centimeters in micrometers?\nAnswer: 5007878000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(85) - -5*-3*sqrt(85) - (sqrt(85) - (sqrt(85) + 3*sqrt(85) - sqrt(85))*-6))\/((sqrt(300)\/(2*sqrt(5)))\/((sqrt(72)*-1 - sqrt(72))\/sqrt(6))).\nAnswer: 396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 53?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 6*b + 5. Let z be 2*(-5)\/(10\/3). Does 5 divide w(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 2*u - 2*u)*(2 + 1 - 4*u**2 - 4687*u + 4685*u).\nAnswer: -8*u**5 - 4*u**4 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2034 - 1?\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 8\/12)\/(1\/(-3)). Let y(x) be the second derivative of x**4\/12 + 4*x**3\/3 + 3*x**2 - x. Let t be y(n). Sort -3, t, 1.\nAnswer: -3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -215*g - 2134. Calculate f(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 5. Give u(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 61, -1.3, -30.29 in decreasing order.\nAnswer: 61, -1.3, -7, -30.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7341, -30239, -68397, -121809, -190469?\n\"Answer: z**3 - 7636*z**2 + 3*z + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -33*m**4\/4 - m**3\/3 + m**2\/2 + 2*m - 2. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835324 is divided by 916976.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + 6 + -14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(sqrt(25)\/sqrt(5)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3686\/7 + 526. Let h = j + 108\/91. Factor 16\/13*y + 10\/13*y**2 + 2\/13*y**3 + h.\nAnswer: 2*(y + 1)*(y + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*a - 2, 2*y + 2 - 4 = -2*a. Suppose 4 = 2*o + 2*i, -5*i - 8 = -4*o - y*o. Let t(q) = 47*q**o - 53*q + 53*q. Let v(b) = -b. Calculate v(t(p)).\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + -11 + 1 + 1. Suppose 6*c + n = 4*c, 5*v - 2863 = 2*c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -1\/4*r**4 + 0*r**2 - r + 0*r**3 + 0 + 3\/20*r**5. What is the third derivative of a(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*u + 16117 = 0, 11*u = 12*u + 3. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213134 (base 7) in base 10?\nAnswer: 37118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 73*s + 97*s + 85 = 27*s, 89 - 329 = 3*f - 4*s for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211431 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 833*y**2 + 13*y - 10. Let l(d) = -5*d**2. Give i(l(a)).\nAnswer: 20825*a**4 - 65*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 406*j + 1452. Let t be u(-3). Solve 0 = 237*v - t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294 + -273)\/(-21)*(2\/(-4))\/((-1)\/(-62)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - v - 4)*(16 - 4*v - 9 - 8) + 5*v**2 - 7*v**2 - 17*v**2.\nAnswer: -15*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:41 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.37. Let y be (-130)\/(-780)*-2*(3 - 1). Which is the third smallest value? (a) o (b) y (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94, 384, 890, 1624, 2598?\n\"Answer: 2*z**3 + 96*z**2 - 12*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 5\/27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 3330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - -9 - 14) + -47.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1467, 2\/15, -4\/13, -4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 59463*z - 10664520.\nAnswer: -3*(z + 181)*(z + 19640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -78*q + 2674. Determine b(34).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Suppose p*l = -5*r - 0*l + 9, -9 = -2*r + l. Suppose -5*a - r*h - 20 = 0, -2*h - 13 = -0*a + 3*a. Sort a, 0, 4 in ascending order.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774805.3 nanometers to centimeters.\nAnswer: 0.07748053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (sqrt(1377) - (1 + sqrt(1377))) - sqrt(1377) - sqrt(1377) - sqrt(1377)) + -1*sqrt(1377) + -1)*-2)**2.\nAnswer: 864*sqrt(17) + 88164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -386, -1\/7, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 1, m: 4, l: 6, q: 2}. Give prob of picking 1 q and 2 m.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2019460.1484 minus -136?\nAnswer: -2019324.1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6035056271 to the power of 1\/2, to the nearest integer?\nAnswer: 77686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdddbdvqdvqbbqbdv. What is prob of sequence qd?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 53*q**3 - 172*q + 6. Let w(m) = 54*m**3 - 173*m + 5. Let s(r) = -5*i(r) + 6*w(r). What is the second derivative of s(k) wrt k?\nAnswer: 354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 - 803*o**3 - 1071*o**2 + 2.\nAnswer: 48*o - 4818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 4*a**4\/3 - 1535*a. Let x(h) = -3*h - 7. What is x(i(p))?\nAnswer: -48*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 50*h + 6168 = 6808 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 475, 732, 997, 1270, 1551?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 501701.\nAnswer: 7\/501701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(7*1\/(-3)) and ((-28)\/22)\/((-1 + 2)\/1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/1287*(-864)\/240\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1684437 take away -0.07?\nAnswer: 0.2384437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7416 to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 29*l + 32*l - 8 - 2*l**2.\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -21. List the prime factors of (-3348)\/(-30) + x\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727354951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-2*(-4)\/(-8). Let m(i) = -i**3 - 2*i**2 + 3*i - 3. Let d be m(s). Let c(h) = -h**3 - h**2 + 4*h + 4. What are the prime factors of c(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007506 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -75, -152, -301, -546, -911?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*f = -567*f + 279*f + 17064 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021\/4 at most as big as 5006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 523531?\nAnswer: 523564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(2\/81)*(c\/(c\/c**(-1)))\/(c*c**(-1\/4)) assuming c is positive.\nAnswer: c**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 25*v**3 - 36*v**2 + 26*v**3 + 55*v**2 + 1.\nAnswer: v**3 + 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*(-3)\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/60 + o**4\/4 - o**3\/3 + 2*o**2. Suppose 3 = 2*p - 0*d - d, 4*d = -4*p + 12. Let w be z(p). Solve 2*b + 2 = -w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -144\/41 (c) 0.5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**7 - 33*i**2 + 1\/10*i**6 + 0*i + 0*i**4 + 2\/15*i**5 + 0 - 1\/84*i**8 + 0*i**3. Determine p so that n(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5864, 23597, 53184, 94625, 147920, 213069?\nAnswer: 290072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(sqrt(48)*5 - sqrt(48)) - (-1 + 4*sqrt(3)*-3 + -4).\nAnswer: 5 + 172*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 10 = 2*v - 0, 3*r - 4*v + 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 3796*h + 2506*h - 30 in the form g + s*h and give s.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 2*j + 3 = 0, -2*x = 4*j - 34. Suppose 7*v = 9*v. Suppose 16 = 4*u - v*u. Calculate the remainder when x is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1313222230232?\nAnswer: 1313222230242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 3*c + 0.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/4 + 7*g**4\/2 + 9*g**3 + 17*g**2\/2 + 11*g\/4 = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m*m*m\/m**5)\/(m\/(m*m**(-7)\/m)*m**(-1\/4)) assuming m is positive.\nAnswer: m**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2372*h - 3168 = 2396*h for h.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12784331 is divided by 374.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13989 smaller than -13989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3279*a*g**2*z - 9*a*g*z**3 - 24*g**2*z**3 + g**2 + 213*g*z**3 + 4*z**3 with respect to a.\nAnswer: 3279*g**2*z - 9*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 239437264 and 21767024?\nAnswer: 239437264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352364.\nAnswer: 2, 7, 29, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78\/244103 or -1?\nAnswer: 78\/244103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70490562.\nAnswer: 2, 3, 41, 286547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/104 + (-177)\/8. Let c = m + 27. Let q = 3.2 + -3. What is the third biggest value in -6, q, c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-51))\/1 - 1078\/(-45577) and 71\/2.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1612 divided by -4\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (239 + -246)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*m**2*w**2 + 4*b*m**2*w - b*m**2 - 7*b*m - 19*m**2*w - 4*m*w**2 + 13*w**2 wrt m?\nAnswer: -6*b*w**2 + 8*b*w - 2*b - 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 + 1. Let r be b(-2). Suppose -725 = -5*n - r*m, -3*m = -m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 5. Suppose 0 = -0*z - z - 3. Let r(y) = y**3 + 3*y**2 - 4. Let m be r(z). Let v be q(m). Solve -2*i - 9 = v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*q + 117 - 221 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -3*u**5\/20 - 5*u**3\/6 + 3*u**2\/2 + 6*u + 2. Let q(p) = 2*p**3 + 3*p - 2. Calculate 3*c(y) + 5*q(y).\nAnswer: y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*565346\/21095?\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 591 - 56?\nAnswer: 53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010 (base 2) to base 12.\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1875, -1873, -1871, -1869?\n\"Answer: 2*x - 1877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28063877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-3) - 3)\/(-2). Solve q*i + 3*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/17)\/((a\/(a*a\/a**17))\/a) assuming a is positive.\nAnswer: a**(-256\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34378 = -b - 4*g - 34357, -4*b - 1 = -g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3167 + -3099 + (-42 - 0)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2425 - 1329. Let o = w + -24107\/22. What is the common denominator of o and -51\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260822280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 10*s**2 - 35 - 27*s + 9*s**2. Let u be v(-28). Let m(q) = -48 + u + 3*q - 9*q. Calculate m(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804865467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.19, 0.5, 237.\nAnswer: -13.19, 0.5, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(20) - (4 + sqrt(20)\/sqrt(4)))**2.\nAnswer: 104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88.87 - 89. Let x = w + 0.1299955. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**26*(u*u*u**(2\/5)\/u)\/u)\/(u**(-14))**(1\/14) assuming u is positive.\nAnswer: u**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -928, -1453, -2072, -2815, -3712, -4793?\nAnswer: -6088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1924*k - 131*k - 238*k + 1886*k - 155*k in the form p*k + s and give p.\nAnswer: 3286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780.669 kilometers in centimeters?\nAnswer: 278066900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110221 + -10?\nAnswer: 110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -650 + 654. Solve 3*m - 5*c + 8 = 4*m, v*m = -2*c + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46021 = 2214*j + 23848 + 29846 + 4343 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 14 = 4*p + 44, 0 = -3*p - 15. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**6\/15 + 8*v**5\/5 + 7*v**4 + 40*v**3\/3 + 13*v**2 - 2*v + 4. Solve j(i) = 0 for i.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -31. Let a = o + 22.4. Let g = -2.3999996 + a. Round g to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 16, e: 4}. What is prob of sequence hee?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(891) + -3 + -2 + (sqrt(891)*2)**2.\nAnswer: 9*sqrt(11) + 3561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 10)\/(-2 + 1). Let w = 1 - -1. Let i(n) = n**2 - x*n**2 + 2*n**w. Let q(c) = -2*c**2. What is i(q(m))?\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 2*y - 4*y, 2*q = 4*y - 22. Suppose o - 6*o + y = 0, -5*l = -5*o - 5. Let b = 96 - 84. Calculate the lowest common multiple of l and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2425193 - 808403 - 3*s - 808386 - 808404.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 - 4*k**2 + 8*k - 14. Let p(r) = -11*r - 4. Let s be p(-4). Let z be 145\/13 - s\/260. Is t(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 37*o**2 + 54*o + 52. Determine p(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147928014 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8563, 34731, 78337, 139381, 217863, 313783, 427141?\nAnswer: 557937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 116*w\/3 - 1682\/3.\nAnswer: -2*(w - 29)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s + 17*s + 55 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 1. Let d(q) = -2*q**2 + 6*q + 1. Suppose 44 = 4*k + 7 + 17. Calculate k*t(z) + d(z).\nAnswer: -2*z**2 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(9)\/sqrt(3) + -2 + sqrt(108) + (sqrt(108)*-2)**2 + 3.\nAnswer: 8*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/2 + 805154\/61292\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1049 = 14*v + 1147. Put 14, -2, v, -5 in descending order.\nAnswer: 14, -2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/6 + d**3\/2 - d**2\/2 + 10*d. Let o(r) = -2 + 1 + r - 3 + 1. Let c be o(6). Give m(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(((v**(-1\/3)*v)\/v)\/v*v))\/(v*v**(2\/7))*(v\/v**(-3\/14))\/v**2)**(14\/3))**(4\/11) assuming v is positive.\nAnswer: v**(-124\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2 - 19*p + 10*p + 21*p + 184 + 63. Calculate j(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -43. Let r = 84 + s. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(720) - (sqrt(720) + -4 + sqrt(720))*-6))**2 - ((sqrt(720) + 0)**2 + -3 + ((-1 + sqrt(720))*5)**2)) + 1.\nAnswer: -6576*sqrt(5) + 103468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 363144893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 107 + 15*l)*(-3*l + 2*l - l) + (2*l**2 + 1 - 1)*(1 + 2 - 2).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 6*o - 3. Let z(s) = 2*s - 48. Let n(u) = -u + 26. Let w be n(-2). Let m be z(w). Give y(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i)**41*(i**(1\/3)\/i)**41*(i**(-4\/11)\/i**(4\/7))**(-12) assuming i is positive.\nAnswer: i**(-43301\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)\/p**(-2\/43)*p**(2\/35)\/p**(-1\/30) assuming p is positive.\nAnswer: p**(-107123\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*y - 20, 3*y = -2*y - 5*a + 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 4770*m + 9520.\nAnswer: 5*(m + 2)*(m + 952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6031 + -6031. Let f(n) = -15*n + 31. Calculate f(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((6 - -7) + 1 + -22).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -346 - -329 - (-334)\/20. Let r = -15 - -13. What is the fourth biggest value in -5, r, b, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1832?\nAnswer: 14656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2 - -1)\/((-20)\/(-16)). Suppose r*s + 2*j - 2 = -14, 4*s + 24 = 4*j. Find the common denominator of s and (-2)\/(-9) + (-4)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643 + 71*n**2 + 630 - 28*n**2 - 14*n**2 - 1273.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y - 39 + 319. Solve -y = 2*c - t, -t + 9 + 10 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:41 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1401567.6 seconds?\nAnswer: 23359.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = -4*v + 135, -4*v = 0. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.3 - 43.2. Let t = -109.1 + i. Let m = t + 122.9999951. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -88. Which is the nearest to 2\/3? (a) 0.4 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 226720?\nAnswer: 226720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 2. Calculate the remainder when t(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028475957 rounded to seven dps?\nAnswer: 0.0002848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.2966 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqa when three letters picked without replacement from lqpilta?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = 2. Suppose j = -j + 4. Let r be 36\/(-21) - (-4 + j). What is the nearest to r in s, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 45*v**2 + 2*v - 41. What is the remainder when m(21) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5978 divided by -14\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2047*i. Let g(p) = 109*p**2 + p. Give f(g(v)).\nAnswer: -223123*v**2 - 2047*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 + -95. Let k(u) = 3*u - 18. Let w be k(8). Solve -2 = l*m + w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-2) + ((-2261)\/19 - -100).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14735407469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 4*o - 1. Suppose -3*i + 3 = -2*i. Let x be b(i). Let k = 29 - x. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:37 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.75874 litres to millilitres.\nAnswer: 1758.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:18 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*c - 4*c - 4*m, -13*c + 11*c - 823*m + 824*m + 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4196.47831 to the nearest integer.\nAnswer: 4196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 347219 - -19024. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 1. Let u be i(3). Let k = u + 1. What is the remainder when 13 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1569)\/(-225) - -7*(1 + -2). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -1 + 5*a + a**2 - 3*a + 2*a + a**2. Give i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68, 128, 182, 230, 272?\n\"Answer: -3*b**2 + 69*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*-0.00227.\nAnswer: 0.14755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8195*-45.\nAnswer: -368775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 10) to base 8\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3572040 and 3570.\nAnswer: 25004280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10923649.\nAnswer: 11, 509, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 33*q**2 - 48*q - 491. Determine g(-32).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2043, 2058, 2079, 2106, 2139, 2178?\n\"Answer: 3*t**2 + 6*t + 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:48 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7068 = -170*m - 298 + 1076 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -312?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttgtttgutuggutgtttgu. Give prob of sequence ttgu.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-63)*7*10\/((-120)\/(-174))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 25 = 3*d - 2*c, -3*d = -5*c - 40. Solve -2*i + 10*f = 12*f, 6 = -d*i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20115 (base 10) to base 2\nAnswer: 100111010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 63. Let d(m) = 2*m - 5*m + m + 6 + u. Give d(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-16)\/4))\/(5515\/1058880)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*m + 5 = -4, 2*g - 29 = 5*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40464)\/(-571554)*(-2)\/(-20)*10\/(-4).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51*3*12\/(-27). Let o = -301 - -232. Let f = o - m. Sort 0.4, f, 11 in descending order.\nAnswer: 11, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 3, n: 7, w: 1}. What is prob of sequence hx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(20))**2 - sqrt(90)\/sqrt(2).\nAnswer: -3*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 3*c + 0 - 2*c + 9. Let q be n(4). Let d = q - -2. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.6 in -4, 4\/23, 103?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*a - 1464 + 304. Calculate the greatest common factor of a and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from {w: 3, i: 1, z: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1943 is divided by 1570?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 30*m**2 + 196*m - 207. Calculate o(6).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(0*x - 4*x + x) + 2*x + 3*x - 3*x + 13*x - x + 14*x + (2 - 2 + 2*x)*(0 - 2 + 1).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 336141\/(-120) + 21\/(-56). Let k = 2797 + b. What is the common denominator of k and 5\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h + 2*h**2 - 5*h)*(0 - 1 + 2)*(-2 + 3 - 7) to n*h**2 + x*h + u and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816165 is divided by 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -46236624 divided by -24\nAnswer: 1926526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 266, 247, 184, 53, -170, -509, -988?\n\"Answer: -4*u**3 + 2*u**2 + 3*u + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -86552625185 and 56.9?\nAnswer: 86552625241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -50. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/180 - 7*b**4\/72 + 75*b**2\/2 - 6*b + 2. Let s(k) be the first derivative of i(k). Factor s(p).\nAnswer: -p*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*t - 192 = -116*t. Let i be t - (4 + 0 + -3). Let p be (-4)\/16 + (-154)\/(-8). What is the greatest common factor of i and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 141193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -112510.89 to the nearest one hundred.\nAnswer: -112500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**2 + v - 1. Suppose l + 0 = 1. Give k(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1139352*r*y**5 - 8*r*y**2 + 2*r*y - r - 2*y**2 + 4 wrt y?\nAnswer: 68361120*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*((-123)\/(-1))\/(-1). Is q at least 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5194*a**2 + 740*a wrt a.\nAnswer: -10388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/((r\/r**(4\/21)*r)\/r))*r*r\/r**(14\/5)*r assuming r is positive.\nAnswer: r**(106\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 - 40595855*h**2 - 81191745*h + 121787595 = 0 for h.\nAnswer: -3, 1, 8119173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15651, 31505, 47347, 63171, 78971, 94741, 110475?\n\"Answer: -h**3 + 15861*h - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(315) + sqrt(315))*-3 - 4*1*sqrt(315))\/((sqrt(84)\/(sqrt(50) - sqrt(2)) - sqrt(42))\/sqrt(6)).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-5))\/(2\/(-10)). Suppose -2 = -2*a + w*k, 4*a = k + 2*k + 14. Solve -5*z = a*d + 35 - 0, -2*z = -d + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -64 (b) -0.5 (c) -966 (d) -0.3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 + 2*r + 2. Let x be z(-3). Suppose 0*k + k = -x. Let j(v) = -6*v - 7. Let c(y) = y + 1. Calculate k*c(s) - j(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 times -3.4?\nAnswer: 771.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -33 in decreasing order.\nAnswer: -1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*u**4 + 5486262*u**3 - 3657487*u**2 + 609580*u.\nAnswer: -u*(3*u - 1)**2*(7*u - 609580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*g = -3*f - 4, -3*f + 5*g = 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000328 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k + 2. Let g(i) = 3*i + 25. Let v be g(-9). Let z be n(v). Let t be (-69004 - z)\/(6\/(-320)). Round t to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 15, 46, 117, 240, 427, 690?\n\"Answer: 2*q**3 + 2*q**2 - 17*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 419 - 481. Let y be (j - -65)*1\/(-6). What is the nearest to y in -25, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048727913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-4) - 151\/(-20) and 56\/(-42) + (-58)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 1949 = -83*g - 10*g, 3*j - 5486 + 5555 = -3*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18455.\nAnswer: 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.08 - -0.08. Let c = -250 + 251. What is the smallest value in 0.01, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6 = -0*k + 2*d, -k + 2*d = -10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/5)*w*w**(3\/10)*((w*w**1)\/w*w)**(-50) assuming w is positive.\nAnswer: w**(-983\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, 0.2, -1\/7, 0.1, -6240?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/2 + 788*l + 310472 = 0.\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.0853 - -0.0853. What is the nearest to -2\/9 in 13\/3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*((-11)\/(-3))\/(23\/(-46))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 8 + 10. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 5, l: 1, d: 3, f: 1, m: 3, c: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0400751 to 4 dps.\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 2*x**2 + 6*x + 6. Suppose -73*g = 341 - 49. Give m(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*y**2 + 350*y + 27*y**3 + 44*y**2 - 26*y**3)*((-y + 0 + 0)*(-1 + 3 - 4) - 9*y + 4*y - 6*y).\nAnswer: -9*y**4 - 18*y**3 - 3150*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1600523 in 0.04, -0.5, -2, -3\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10054750 to the nearest 100000.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(-4*(-4)\/240*-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1107120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, -39, 5 in decreasing order.\nAnswer: 5, 4, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101011110203 (base 4) to base 15\nAnswer: -5d6d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7813685768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 - -1*(4 + 0). Let y = x - 14. Suppose -3*z = y*g + 2*z - 655, 0 = 4*z. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83 or 2\/13?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 8*g**5 + g**3 + 81*g**3 - 22*g**5 - 81*g**3 + (-g**3 - 3*g**3 + 2*g**3)*(3*g**2 + g**2 - 2*g**2) + g**5 - 2*g**5 + 2*g**5.\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33 (b) 3\/2 (c) -4\/16121 (d) -2\/17 (e) 1\/3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*g + 38 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 + 47051*j\/7 + 94130.\nAnswer: -(j - 47065)*(j + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j + 5525*j = 128596 + 94171 + 29818 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:15 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12111.\nAnswer: 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -102, -0.2 in decreasing order.\nAnswer: 1, -0.2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g + 2*g)*(-2*g - 5*g + g)*(-62*g**2 - 74*g**2 - 53*g**2).\nAnswer: 3402*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 29 = -9, 5*i + 47 = 4*b. Find the second derivative of -b*u - u**3 + 22*u + u**3 + 2*u**3 wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*h - 7, -2*i + 3*i + 2*h = 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 184, 274, 364?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84542*g + 28402*g + 28344*g + 27787*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 614997.4ug?\nAnswer: 0.0006149974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -62*h**3\/3 - 75*h**2 + 27*h. Is s(-14) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30331647 is divided by 33077.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1466356 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1477*l - 10833 + 84683 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*a - 10, -3*z = -z + 3*a + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + -78677.\nAnswer: -78725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**3\/3 - 16*l + 2. Let s(b) be the third derivative of b**4\/6 - b**2. Give q(s(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1746)\/(-336)*4080\/(-1530))\/(1\/(-7))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w*w*(w*w**7\/w)\/w)\/(((w*w\/((w*(w**(-2\/5)*w)\/w*w)\/w))\/w)\/w*w\/w**(-2\/5)) assuming w is positive.\nAnswer: w**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 33 - 31 = 0. Suppose 0 = -z*k + 9*n - 5*n - 5332, 7968 = -3*k - 4*n. Calculate the remainder when k\/(-25) - 3\/(-5) is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10523.105581 + 10573.10558077. Let w = 49.899 - -0.101. Let i = w - a. What is i rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033*-1.1\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 79 - 79 - 4*k**2. Let i(c) = 9*c. Determine b(i(n)).\nAnswer: -324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 + 1041*a**4 + 95844*a**3 + 959616*a**2 + 2370816*a = 0.\nAnswer: -168, -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*w - 10, -2*a - 2*w = 2*a - 10. Suppose -35 = -3*n + 4*m, m + 3 = -2. Let j = 8 - n. Calculate the least common multiple of a and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/312 in 0.13, 1, -24?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15937? (a) -6\/7 (b) -1\/3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 2*q - 11*q to f + l*q and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 9 = -3*a. Suppose -w + 3 = -0*w. Let h(x) = x**2 + 8*x + 10. Let i be h(-7). Solve -4 = 2*b, -w*p + i*b = -6*p + a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.17 + -6. Let u = -0.64 + y. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 7}. What is prob of picking 3 w?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y**3 + 10*y**2 + 46*y - 170. Let l(m) = -5*m**3 + 3*m**2 + 15*m - 57. Let s(p) = 3*h(p) - 8*l(p). Solve s(a) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27409, -55770, -84131, -112492, -140853, -169214?\n\"Answer: -28361*m + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6762, 13511, 20254, 26991, 33722, 40447?\n\"Answer: -3*r**2 + 6758*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(-1\/5)))**(-3\/29)\/((z\/(z*z**(-4)*z*z)*z*z)\/(((z\/(z*z**(-2\/21)*z*z))\/z*z)\/z)))**(2\/13))**(-10\/7) assuming z is positive.\nAnswer: z**(83848\/55419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 412\/(-103)*(-1)\/(-12)*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 11*s - 7. Let k be n(12). Let y(c) = -3*c + 65 - 7*c - 2*c + k*c. Let p be y(9). Solve 2*u - 12 = t - 4*t, 5*t + p*u = 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/25884 and 45\/813908?\nAnswer: 7325172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 6 + 4. Let b be (-24)\/10 - s\/25. Let x = 13 + b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2331*p**4 - 6012.\nAnswer: -9324*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.854 - -19.8301. Round h to two dps.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 - 2*p + 2*p**4 - 2*p + 6*p to the form x*p**2 + q*p + k*p**4 + u*p**3 + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170083 is divided by 252?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 2, q: 1, s: 1, d: 2, l: 2}. What is prob of sequence dqls?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/120 + k**5\/20 + 5*k**4\/24 - k**3\/6 - 4*k**2. Let l = -1 + 5. Let g be c(l). Solve -i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbssvbvbvbssbs. What is prob of sequence ssv?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10603.974 - -10622. Let h = -0.026 + t. Let l = 21 - h. What is the closest to 3\/11 in l, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c - 4 + 0 - 16*c + (-2*c + 4*c - 3*c)*(2 - 1 - 3) to the form p*c + w and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 2. Let o be s\/24*2*-258. Suppose 13 = 2*b - 3*k - 49, 2*b + 3*k - o = 0. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 9*r - 13*r. Suppose -r = 7*m - 14*m. Suppose -m = 2*p + 2*o, -2*o = -5*p - 4*o - 21. What is the second smallest value in p, -56, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -35.99996. Round y to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 120 = -n. Suppose -d + n = -0*y + 4*y, -3*d = 5*y - 51. Let p(m) = -16 + 16 + d*m**2. Let q(l) = l**2. Give p(q(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*i - 0*z + 109 - 106, -2*i = -10*z - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b, -4*i + 87 + 9 = 2*b. Calculate the smallest common multiple of 9 and 215\/i - (-2)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41376856*r**2*s**3 + 10*r**2*s**2 + 418*r**2 - 2*s**2 - 225*s - 2 wrt s?\nAnswer: -248261136*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 4*w**4 - 2*w**4 + (-2*w**2 + 0*w**2 + 0*w**2)*(-3*w**2 + 2*w**2 - w**2) - 4*w**4 - w**4 + 4*w**4 + w**2 + 10*w**4 + 9*w**3 - 9*w**3.\nAnswer: 12*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmzmmzmzyzmzm. What is prob of sequence zzm?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-468))\/(-2)*((-7)\/(-3))\/7*-54.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1638 and -26\/35?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 24*v + 162. Let s(o) = -o**3 + o**2 - 5*o + 2. Let k(b) = b**3 - b**2 + 5*b - 1. Let d(w) = -5*k(w) - 4*s(w). List the prime factors of d(v).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.04.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/162 + 1166\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**2 + 6*w + 14. Let u(r) = -r - 1. Let j(y) = 6*y - 14. Let s be j(4). Let g(t) = s*u(t) + x(t). What is the second derivative of g(c) wrt c?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-297)\/12)\/(12\/(-32)). Calculate the greatest common factor of s and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 + 756*f**2 - 2988*f + 2976 = 0?\nAnswer: 2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 + -7 + 5 - -2. Solve -3*i - i = -5*a + 13, 4*i - o*a = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2 - 5*g + 12*g + 9. Let c be j(6). Suppose -381*t - 210*t + 812 = -475*t. Calculate the highest common divisor of c and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*b - 4)*(-192*b**3 + 318*b**3 + 611*b**3 + 1218*b**3).\nAnswer: -3910*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:10 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 + 0)*(1 - u**2 - 1)*(7*u**2 - 6*u**2 - 6*u**2 - 2*u**2 + u - u + (0*u - 2*u**2 + 0*u)*(-6 + 2 + 2) + 0*u + u**2 + 0*u).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 152694?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-10)*20\/(-30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1110, 2230, 3348, 4464, 5578, 6690, 7800?\n\"Answer: -j**2 + 1123*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 17*y - 6. Let j be d(-8). Let q(z) = 5*z**2 - j*z**2 - 3*z**2 - 2*z**2. Let p(i) = 7*i**2. Calculate p(q(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*(22 - 40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**2 - c + 1. Let y be m(1). Let s be (-5)\/y - (5 + -4). Let j be (-15)\/21 + 1\/1. What is the nearest to s in j, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r - 32. Let c(o) = -8*o + 29. What is -3*c(t) - 4*f(t)?\nAnswer: -4*t + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4\/13 + 30*v**3\/13 + 402*v**2\/13 + 752*v\/13 - 480\/13 = 0 for v.\nAnswer: -4, 1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034912278 rounded to 4 dps?\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4)*-2) + 2 + sqrt(10)\/sqrt(2) + sqrt(5) - -3*sqrt(500))**2.\nAnswer: 126*sqrt(5) + 19861\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-16))\/((-9)\/48). Suppose 0 = -4*p - 0*p - y, -3*o = p + 264539. Let m = o - -157178. What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxxtxxttxx. What is prob of sequence txx?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 74, -2.\nAnswer: -2, 1, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -35926, 1, 46, 0.4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -141615, -141616, -141617?\n\"Answer: -m - 141614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**5 + 45*d**4\/4 - 5*d**3 - 125*d**2\/2 + 90*d - 915. Solve c(s) = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -64005\nAnswer: -22\/64005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 5) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-441))\/((-2)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from ilililllilieiilell.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*v**4 - v**2 - 41 wrt v?\nAnswer: -160*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 615, 1870, 4237, 8064, 13699, 21490, 31785?\nAnswer: 44932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 85700 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**2 - 327*l - 952. Calculate y(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363940.83 - -361818. Let c = -2091 - v. Let d = c + -32. What is d rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3490 and 5?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12168740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7465 + 0.2535. Which is the closest to 0.5? (a) 0.4 (b) j (c) -0.0158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.85 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 892780 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 not equal to -596523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 5*m**4\/4 - m. Let g(q) = q**2. Calculate p(g(v)).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.8, 4, 92, -2\/11?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 187*i - 430. Let q(u) = 17*u - 38. Let n(c) = 2*m(c) - 23*q(c). Let j(s) = 11*s - 9. Give -7*j(d) - 5*n(d).\nAnswer: 8*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -4.01. Let l = -102 + 132. Let n = l + -28. Which is the closest to n? (a) -0.1 (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 9 + 494*d + 10 - 33 as y + c*d and give c.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -4, 381, 2 in decreasing order.\nAnswer: 381, 7, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.05, -0.2, -3, -2\/7, -52, -2.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -5, -3602, 3.\nAnswer: -3602, -5, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44589.4008 + 5.95?\nAnswer: 44595.3508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*v**3 + 19*v**3 + 49*v**3.\nAnswer: 115*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9960899*p + 1306502 wrt p.\nAnswer: -9960899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1031785 times -3.1\nAnswer: 3198533.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103303130 + -43?\nAnswer: 103303032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 19*y - 5. Let v(o) = -o**2 - o - 1. Let n(m) = -b(m) + 3*v(m). Let l be n(16). Solve -4 + 2 = l*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = 0, -3*i - 2*v - 16 = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 709021 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13990 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 r when four letters picked without replacement from hhrrhirjihrchiiccr.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 84 - 871 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 + 1?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 1. Let i(t) = -3*t + 2. Let z(a) = 3*i(a) - 4*r(a). Suppose -5*o - 12 = -9*o. Determine z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((sqrt(98) - (-1 + sqrt(98))*6) + -4))**2.\nAnswer: -7140*sqrt(2) + 88489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -26534, 4, -1, -4 in descending order.\nAnswer: 12, 4, -1, -4, -26534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:04 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-8)\/(-156) - 13297\/(-39) and 62?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464016 (base 9) to base 10\nAnswer: 278493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 19*u**3 + 229*u**2 - 230*u + 55. Let g be y(-13). Suppose -5\/3*r**g + 0 - 135*r + 30*r**2 = 0. What is r?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0.4 (b) -1\/16 (c) 1 (d) -16\/57 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k - 2 + 2. Let w(a) = -a + 17. Let s be w(7). Let d(n) = 4*n + 5*n - s*n. Give m(d(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341121, 682238, 1023355, 1364472, 1705589, 2046706?\nAnswer: 2387823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**3)*i\/((i**0\/i)\/i)*i*i*i*i*i)\/(i\/((i*i**(-4))\/i)*i*i**6) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*15\/60.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/21)\/((-8)\/(-392)*7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6*a - 2509 - 2223, 3*t = 5*a + 7078. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 40 = 9*p. Suppose -r + p = 13. Let f(m) be the first derivative of -m**3\/3 - 3*m**2 + 11*m + 2. Determine f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m - 55. Suppose 10 = w - 0. Let j be c(w). Suppose -o - 6*v = -v - 1523, 4*v + 7731 = j*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8153.18 and 0.4?\nAnswer: 3261.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22740490 rounded to the nearest 100000?\nAnswer: -22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 627584 - -1?\nAnswer: 627585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5665.912ms to nanoseconds.\nAnswer: 5665912000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.3 - 8.3. Let w = h + -36.19. Let v = w - -0.06. Round v to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 350454?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 75, 2273 in increasing order.\nAnswer: -1, 75, 2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1814*n - 3812*n**2 + 3808*n**2 + 821 - 821 + 1814*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.78 - -37. Let g = m - 0.22. Put -1\/2, 0.01, g in decreasing order.\nAnswer: 0.01, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -33461136.\nAnswer: -5\/33461136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.092 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61 - 150068?\nAnswer: -150140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2674, -5399, -8148, -10933, -13766, -16659, -19624, -22673?\n\"Answer: -2*s**3 - 2711*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 523 + -523.2. Let i = 380 + -212. Let b be i\/82 - (-3 + 5). Which is greater: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q**2 - q - 28. Let y be f(-7). Is -46*(y\/(-98) + (-4)\/(-14)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181533?\nAnswer: 3, 11, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*u - 6, 0 = -4*u - 965113*z + 965109*z + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/135)\/(1\/(-3)). Let g be (-3)\/3 + 0\/(-1). Let r = g + 5. Put h, -2\/9, r in decreasing order.\nAnswer: r, h, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:11 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 1349, 2673, 4535, 6941, 9897, 13409, 17483?\nAnswer: 22125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*a + 16, a - 2*a + f - 5 = 0. Let y = a + 10. What is the remainder when 15 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430513658 to the power of 1\/2, to the nearest integer?\nAnswer: 20749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2581723mg?\nAnswer: 0.0002581723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.015071 decades in years?\nAnswer: 40.15071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1201585 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 303?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2497, 15377, 50335, 118411, 230645, 398077?\n\"Answer: 1840*s**3 - s**2 + 3*s + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 716\/7. Suppose 4 = 5*u - 6. Sort k, u, 1\/5 in decreasing order.\nAnswer: u, k, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21010 (base 4) to base 13\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15a - -a?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -271238 and -271239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4870*n - 63309. Let j be c(-13). Factor j - 1\/6*k - 1\/6*k**3 - 2\/3*k**2.\nAnswer: -(k - 1)*(k + 2)*(k + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -23. Suppose -g = 5*a - 19, -f = -2*a - 2*g - 1. Suppose a*s - 46 - 26 = 0. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25.7 in 12\/2521, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 u when three letters picked without replacement from {p: 4, u: 4, g: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/128 and 113\/56.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y + 79. Let q be w(-8). Suppose -2*d = -13 - q. Calculate the greatest common factor of 8 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -0.2 (c) -2\/11 (d) -5 (e) -4.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11896069540 to the nearest 1000000.\nAnswer: 11896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -503.3352285 to one decimal place.\nAnswer: -503.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37559 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1343a?\nAnswer: -13442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/98 and (-2)\/(-5)*(-24)\/((-864)\/(-3015))?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 5*u**2 + 10*u + 14. Determine r(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f - 5*f = -3124. What is the remainder when 2507 is divided by f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2927 and 1.\nAnswer: 0.2927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 8*y**2 + 19*y + 3. What is the units digit of o(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 9412*r**2 + 142296*r + 511488.\nAnswer: -4*(r - 18)*(r + 3)*(r + 2368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 0*i**5 + 0*i**5 + (-2*i**4 - 3*i**4 + 4*i**4)*(1 - 1 - i) + (21*i - 21*i + 31*i + (0*i + 2*i + i)*(-4 + 2 + 0))*(-34 + 15*i**4 + 34).\nAnswer: 374*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7888 - -7897. Solve -l - j*l - 2*u - 44 = 0, 4 = -2*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*m = 54 + 44, 4*s - 296 = -4*m. Suppose -4*n = o - 47, -3*o + 4*o - 46 = -3*n. Calculate the remainder when s is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 952447137 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from yeoneca?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(209)\/((-2*sqrt(88))\/sqrt(8))*-1 + -2.\nAnswer: 1 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*x = 3*w - 203, 5*x + 155 = 3*w. Suppose 0 = -2*n - 0*n + w. Solve n = -d - 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/5, 1786, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*1*(sqrt(3267)*-2)**2 + (4 + sqrt(108) - sqrt(27))**2 + sqrt(216)\/(-2*sqrt(8))).\nAnswer: 90*sqrt(3) + 313804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 11*g**5\/60 - 23*g**4\/24 - 46*g**3\/3 - 73*g**2 + 2. Is x(-7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3333978929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 321656.4 microseconds?\nAnswer: 0.00536094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 5*f + 4*c, -f + 17 = -3*c. Let s = 0 + 3. Solve -s*l = -f*z, -3*z - 4 = -3*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3321 - 146 = -210*o - 815 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*-3.66.\nAnswer: 179.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -42, -77, -122, -177?\n\"Answer: -5*s**2 - 10*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 234*d**2 + 106*d**2 - 129*d**2 + (2 + 0 - 1)*(d**2 + 4*d**2 - 3*d**2).\nAnswer: 213*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = 2*o + 2*b, 4*o - 5*b = 44. Suppose 8*q - o*q = 102. Does 11 divide (q\/9)\/(3\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 - 2*x**2 - x - 1. Let l be a(2). Suppose -3*t - 6 = -l. Solve -4 = -2*y + 2*f - 2, -5*f + 5 = t*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 17. What is the smallest value in d, -5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teeg when four letters picked without replacement from {g: 3, t: 1, i: 1, e: 2, l: 4, h: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7947*t = 7945*t + 3*f + 4, -8 = -2*t - 3*f + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(5))\/sqrt(10) + 3.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 558 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16607 + 20564. List the prime factors of a.\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g**3 - g**2. Let p be q(1). Let v be 4\/(-6) - p\/(-3). Suppose 7*x = 4*x + 2*m + 83, -3*x + 87 = -3*m. Solve -v*d + x = -10*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 17 - 6 = -3*l, -2*z - 14 = -4*l. Find the second derivative of -84*b + 65*b**5 - 1 - l - 2 + 86*b wrt b.\nAnswer: 1300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107184, 429164, 965804, 1717110, 2683088?\nAnswer: 3863744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g + 4. Let j be z(3). Let w be (-6)\/27 - (-704)\/9. Let a = -28 + w. What is the greatest common factor of j and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5)*r**3)\/(r**(-1\/9)*r**(1\/7)*r) assuming r is positive.\nAnswer: r**(502\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45117750 (base 8) in base 13?\nAnswer: 2030591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 3. Suppose u - s*q - 20 = 0, -5*q + 3*q + 38 = 3*u. Let g be 2\/1*2\/2. Calculate the greatest common divisor of g and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1086974g in tonnes?\nAnswer: 0.0000001086974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a meter in millimeters?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r*y*z**3 + r*y*z**2 - r*y*z - 2*r*y - r*z**3 - 23*r*z + 1 wrt z?\nAnswer: 12*r*y*z + 2*r*y - 6*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.06*-0.2.\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n - 13. Let z be g(9). Which is the third biggest value? (a) -2\/5 (b) 2\/13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5551 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 6. Let h(m) be the first derivative of 5*m**3 + m**2\/2 - 20. Determine w(h(o)).\nAnswer: -15*o**2 - o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*g = -20, g - 2 = b + 2. Suppose b = -0*k + 3*k - 6. Solve -3*m = k + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - t + 19 = 0, -142 = -24*b - 4*b + 2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-357)\/(-21))\/(-357))\/(3\/(-27))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 534724567*q**2 - 72058598 wrt q.\nAnswer: 1069449134*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30111572 is divided by 64.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a + 3*a - 2 + 32 + 0. Let o(c) = c. Calculate d(o(z)).\nAnswer: -2*z + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -34.589?\nAnswer: -13.8356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 92756143 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 54444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = v - 4, -5*r - 8 - 1 = -4*v. Let n = v - -2. Sort n, -4, -1 in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0863569 and 0.3?\nAnswer: 0.2136431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41\/127 + -55057\/1778. Let f = -2083\/77 - x. Find the common denominator of f and 158\/(-12) + 2 + -1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95021113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*7\/700)\/(136\/(-9520))?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -23363*x + 23368*x, 23 = -3*x - 4*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -1?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 6. Let q = n - -171. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 23*x. Let u(c) = 19*c**2 - 1. Give u(w(i)).\nAnswer: 10051*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 107987.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 210 + 69 = 0. List the prime factors of (31\/w)\/((-2)\/(-6126)).\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168223.879981 + -168224. Let s = -15 - -15.12. Let w = s + h. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*p, -3*p + 2 + 1 = 3*s. Let y(q) = -1 - 5*q + 2*q**s - q**2 - 6. Suppose -z - 9 = -4*v + 3*v, 0 = -v - 2*z. Determine y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/126, 3, 5, -3\/5, -0.2, 0.5.\nAnswer: -3\/5, -0.2, -1\/126, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6252297040 - -0.155?\nAnswer: -6252297039.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 + (-26)\/(-7). Let q = o - 0. Let g be q\/(-6) - 4\/(-3). What is the nearest to 0.1 in 0.2, -2\/3, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/14 - (-4)\/(-14). Suppose 3*q = 0, t - q + 0 = 1. Let n(o) = o**2 + o. Let a(b) = -4*b**2 + 3*b + 4. Let c(z) = t*a(z) + 5*n(z). Give c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11.05. What is the nearest to -1 in s, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 45*y = -112 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75470408*f**6 - 35663*f**2 + 3*f - 11.\nAnswer: -9056448960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.48 - 0.08. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 5 = -5. Suppose -24*n + 3*z - 147 = -28*n, -n + 5*z + 31 = l. What is the smallest common multiple of (-1)\/(34\/36 - 1) and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**4 - 66430*m**3 + 7452830 wrt m?\nAnswer: 8*m**3 - 199290*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 5*m = -224. Let i = -644 - -587. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1549, 1540, 1517, 1474, 1405, 1304, 1165, 982?\n\"Answer: -u**3 - u**2 + u + 1550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, and 2 z when four letters picked without replacement from {v: 1, a: 2, z: 6, j: 2, l: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.9 + -54.9. Which is the closest to 0.1? (a) -3\/7 (b) 0 (c) r (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from qxjjqjxqlxqxjjjjxqj.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 h when three letters picked without replacement from vswsvhshwsshhsw?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + w = 5*c + 21, -c = -2*w + 18. Let k be (1 - 2)*-2 - c\/(-4). Suppose k = -2*s + 45 + 303. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -4\/9, 1, -3, 1.5, -0.1089 in increasing order.\nAnswer: -3, -4\/9, -0.1089, 4\/5, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00203801151 rounded to five decimal places?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (10 - (-3 + 9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59556.\nAnswer: 2, 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -440.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 323418712 to the power of 1\/2, to the nearest integer?\nAnswer: 17984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -156\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19062337, -19062334, -19062331, -19062328?\n\"Answer: 3*h - 19062340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**2\/t)\/t*t)\/t)\/t)**39\/(t\/t**(-2\/7)*t*t\/(t*(t**2\/t)\/t)*t))**(-2\/5) assuming t is positive.\nAnswer: t**(592\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:37 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 10. Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let v(b) be the third derivative of 0*b**3 + 0 - 1\/4*b**4 - 3*b**2 + 0*b. Determine v(f(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 + -297.9999341. Round h to 6 decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203078 is divided by 806?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5342, 20214, 45022, 79760, 124422, 179002?\nAnswer: 243494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 5. Let v be m(-13). Let p be v\/(-40) + (-16)\/5. Does 14 divide (-412)\/(-6) - 1\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9713, -9840, -9969, -10100, -10233, -10368?\n\"Answer: -d**2 - 124*d - 9588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.84209 milliseconds?\nAnswer: 0.00184209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -678 - -673. Suppose 0 = -3*u - 4*l + 20, -4*u = -3*u - 2*l + 10. Suppose u = 2*o + o + 9. Put o, 12, b in decreasing order.\nAnswer: 12, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/12)\/4*(-18)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - 2*g = -38*j + 228, -3*j = 2*g - 140. What is the highest common factor of j and 54418?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/70*(-4)\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a4 - 5?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, t: 4, l: 2, c: 3}. What is prob of picking 1 g, 2 c, and 1 l?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.046 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 20 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/(-21))\/(-9))\/(832\/122304)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -2*d - 440. Let g(a) = -4*a**2 + 4*a + 3. What is g(d)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 27*j. Let m(n) be the third derivative of n**4\/24 - 15*n**2. Calculate m(z(f)).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 2. Let v = f - 0.5. Let i = 2 + v. Are i and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249392920 divided by -17164.\nAnswer: -14530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.1 in -4, -2, -3, -2\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34908 divided by 5818.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*n**2*v**2 + 277700*a*n**2*v + 4*a*n*v**2 + a*n*v + 29*a*n - a*v**2 + 9*v wrt n?\nAnswer: 8*a*v**2 + 555400*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -102175173 not equal to -102175175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 16\/7 + 8\/7*j + 1\/7*j**3.\nAnswer: (j - 4)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/28 + (-9558958)\/(-8). Suppose -4*o - 3*g + u = -2827886, -o + 3*g + 1005700 = 0. Let z = o + -625691. What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3 - 4 - 5*x)*(-2 + 3 - 2)*(-5 - 5 + 3)*(-4*x - 5*x + 3*x)*(0 - 4 + 5).\nAnswer: 210*x**2 + 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/5))**(2\/71) assuming o is positive.\nAnswer: o**(14\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -15. Let v = c + 10.8. Let u = -0.3 + 0.2. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2924632 + 5849271 - 2924629 + 4*k.\nAnswer: 4*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 59*s**5\/15 - 1691*s**4\/24 - 341*s**2. What is the second derivative of j(i) wrt i?\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*v**5 - 1764293*v**4 - 192645606*v**2.\nAnswer: 2400*v**2 - 42343032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1359, -2716, -4073, -5430?\n\"Answer: -1357*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -22647\/24460?\nAnswer: -22647\/24460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w**2 - 117*w**2 - 669*w**2 + 3029*w**2 - 574*w**2.\nAnswer: 1723*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 436041 - 0?\nAnswer: 436041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43970 - 43956. Solve -1481*b + 1495*b - x = 0 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 1135 and 513928?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -254, -747, -1708, -3293?\nAnswer: -5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 276, 364, 442, 504, 544, 556, 534?\n\"Answer: -m**3 + m**2 + 92*m + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12733 + -12490. What is the smallest common multiple of i and 1458?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/((-4)\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153)*-2)**2 + (sqrt(1377) - 2*sqrt(1377) - sqrt(1377) - (sqrt(17) + (sqrt(136)\/(sqrt(32) - sqrt(8)))**2)).\nAnswer: -19*sqrt(17) + 598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 927019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 74. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501704395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -140 - 8 - (-5 - -9). Does 0.04 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7039 + -4737. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-8)*2 - (-215)\/20. Suppose 7*m - w*m - 12 = 0. Which is smaller: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 0.03, 21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13734 > 77259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(sqrt(1573) + -1*2*sqrt(1573)) + (-4 + (sqrt(1573) - (-1 + sqrt(1573) + 1))*-2)**2.\nAnswer: -275*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -160. Let p(c) = 8*c**3 + 2*c**2 - 3*c - 4. Let s be p(3). What is the greatest common divisor of s and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Suppose -z + 13 = 4*b, 14*b + 4*z - 30 = 9*b. Let u(s) = -1 - 1 + 7 - 4 - s. Suppose 0 = 2*g - 7*g - 5. Determine b*x(m) + g*u(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v)\/v)**(-10\/3))**(2\/63)\/((v*v**(-3))\/(v\/v**2))**(14\/3) assuming v is positive.\nAnswer: v**(902\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86925, -86921, -86915, -86907, -86897, -86885?\nAnswer: -86871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2302, -9197, -20686, -36769, -57446?\nAnswer: -82717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 97*w - 397. Calculate c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3512\/5 - (-2)\/(-5). Let c = -1326 + 854. Let z = c + w. What is z rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 26*u**2 + u**3 + 443*u**4 + 5 - u**3 - 24*u**2 to i*u + h*u**2 + z*u**3 + x + c*u**4 and give c.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.6 + 10. Let y = v + 2.71. Let p = 12 + -11. Which is the third smallest value? (a) y (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355 divided by 5\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 5*g + 3. Let b be f(-5). Let c(r) = b*r + 3*r - 5*r. Let y(m) = -4*m + 1. Calculate 9*c(u) + 2*y(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)*-35*(-28)\/28. Suppose n*o - 14 = 28*o. Suppose 3*k + 0*k + f = 120, -o*f = -5*k + 200. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 19*i**2 - 17*i + 3. Let s be l(-18). Let b = s - -15. Solve b = 4*r - 6 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6522297.\nAnswer: -1\/6522297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 322*u - 84. Let n(j) = 19*j - 5. What is -5*d(i) + 84*n(i)?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4587445 is divided by 280?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*111\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 + 115. Let a = -3 + 7. Let m = b - a. What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1282202 and 43\/16.\nAnswer: 10257616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-1 - 13 - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 3\/4, -0.4, -4\/7, -217, -2\/53?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/105 - 13*f**6\/60 + f**4\/6 + f**2 - 14*f. What is the second derivative of y(l) wrt l?\nAnswer: 24*l**2 - 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 + -208. Suppose 3*c - f - 105 = -q, 4*q = -c + 114. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 + 162. Let x(a) = a**2 + a. Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230391, -230362, -230333?\nAnswer: -230304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11426\/21 - 544. Let o(k) = -516*k - 27863. Let m be o(-54). What is the closest to m in 6, -3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2 + sqrt(468))**2 - (-1 + sqrt(832) + sqrt(832))) + -3.\nAnswer: -16*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13679*q**2 - 6782*q**2 - 6230*q**2)*(0*q**2 + 0*q**2 + q**2) + (3 - 5 - 4)*(-4*q**3 + q**4 + 4*q**3).\nAnswer: 661*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 226, 223, 218, 211?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212083?\nAnswer: 23, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 - 4*i - 2 - 7.\nAnswer: -4*i - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 15*p**2 - 5*p - 5. Let v be q(14). Suppose 3*s + v - 1 = 0. Let b = -3 - s. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10012 (base 3) to base 12\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 5*t**2 + 9*t**2 - 13*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*l - 400 - 1647 - 1223 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4\/3, 0.2 in increasing order.\nAnswer: -17, -4\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 297676890 to the power of 1\/2, to the nearest integer?\nAnswer: 17253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 10*l**3 - 33 + (-25*l - 402 + 402)*(12*l**2 - 5 + 5).\nAnswer: -290*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 68, 117, 166?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -310 or -2487?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115671477.\nAnswer: 3, 157, 245587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**3 - 13*o**2 + 14*o - 16. Let m(q) = -4*q**3 + 12*q**2 - 13*q + 15. Let a(k) = -3*c(k) - 4*m(k). Let f be a(8). Which is smaller: f or 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20804?\nAnswer: 2, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462015827.\nAnswer: 7, 13, 5077097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4) + -1 + 1 - (23 - 24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let i(u) = -12000*u**2. Calculate m(i(q)).\nAnswer: 24000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:51 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -499*v + 179. Let s(f) = -501*f + 150. Determine -6*s(h) + 5*y(h).\nAnswer: 511*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1854941, 1854942, 1854943, 1854944, 1854945, 1854946?\nAnswer: 1854947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3 = -5*y. Suppose 0*m - 6 = -2*m. Suppose y*r - m = 15. 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: Let i = -5.215 - -5.17. Let a = i + 0.065. What is the nearest to -3 in a, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 1 + 1 + k + 0*k + 0*k + (1 + 0 - 3)*(-k - 3*k + 2*k) + 2*k + 1 - 1)*(-622 - 631*k**3 + 622 - 845*k**3).\nAnswer: -7380*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2*(-1)\/(-2)). Let t = -1 + k. Suppose t*p = -p - 1. What is the nearest to p in -1\/2, 0.2, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/(-10))*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127730812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 5*k**4 + 9*k - 9*k + 2*k**3 - k + 0*k**3 to the form c*k**2 + a*k**3 + l*k + z*k**4 + v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (2 - 2 + 3)*(1 - 4 + 2))*(-3*b**3 + b**3 + 3*b**3).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**2*z**5 + 3*y**2*z - 43*y*z**5 - z + 19 wrt z.\nAnswer: -60*y**2*z**3 - 860*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 717132 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2158460782 + 2\nAnswer: -2158460780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/4 + (-2 - -2). Let h(q) = q**3 - 9*q**2 + 5*q + 4. Let w be h(v). Let t = w + 36. Solve -2*d - 2*d = -t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 92\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 6*a**2 - 5*a + 10. Is v(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634748698.\nAnswer: 2, 11, 139, 534581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 7 - 7)*(0*k**2 + 3*k**2 - k**2 + (-k**2 - 4*k**2 + k**2)*(-1 + 4 - 4)).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 3*l + l - 4*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 10*a**2 - 19*a - 20. Let p be w(-8). Solve -3 = p*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and 1977650?\nAnswer: 1977656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36.3 and -79?\nAnswer: -2867.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m + 3862 = 4032. Solve 111*f = 110*f - m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqi when three letters picked without replacement from {o: 8, i: 4, q: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-7) - (-4)\/14. Let b be f\/(-80)*(-53712)\/26724. Let c = 7\/262 + b. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -506970 to the nearest one thousand.\nAnswer: -507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -30*g + 333. Let n be i(11). Suppose 4*z + 46 = n*j + 40, -8 = -4*j + 3*z. Find b, given that 0 + 1\/4*b - 1\/2*b**j + 1\/4*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*y - 35 - 12 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/63)\/1*(-12)\/8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 2616 + t**3 - 2*t**3 + 3*t**3 + 0*t**2.\nAnswer: 2*t**3 + 2*t**2 - 2616","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13526.4968 and -123.7.\nAnswer: -13650.1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - t = -756, 4*q = -3*t - t + 608. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240675330 and 29520.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.4 and 0.4.\nAnswer: 7.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 111. Let y = 3 + -9. Let r be y\/h - (-9029997)\/21. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0053629*-0.2\nAnswer: -0.00107258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 219. Solve -b*z - 10 = -h, 3*h + 2*z - 12 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from rrkhkkkhh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 247?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 35. Suppose -2*l + h = -112. What is the remainder when l is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 2. Let y be j(-2). What is the second derivative of -3*r - r - r + 23*r - 61*r**y wrt r?\nAnswer: -732*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010211212 (base 3) to base 9.\nAnswer: 33755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -9*t + 792. Suppose 90*s - t*s - 160 = 0. Let i be 14 + -18 + (-2)\/(s\/(-158)). Is -1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 = -17. Solve -6*m + 3*m + 2*p + v = 0, 4*m = p + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 25*x - 20. Let w be p(29). What is the highest common divisor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4133*o - 13 = -4134*o - 3*b, -3*o + 7*b = 41 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b979 (base 13) to base 15.\nAnswer: -7993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 0)*(3 - -64) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2666041 (base 9) to base 3.\nAnswer: 2202020001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13329070 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6129 + 6128. Is -1680 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from exeedeeexe?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.6508079 microseconds in days?\nAnswer: 0.00000000022743990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r - 7*r - 21*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 8*p + 9. Suppose 0*t + 4*t + 40 = 0. What is the remainder when w(t) is divided by (25 + 0)*4\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 522.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/20 - t**4\/2 + t**3\/6 + t**2 + t. Let p(w) = 196*w + 386. Let j be p(-2). Give f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601551.\nAnswer: 7, 228793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 (base 6) in base 11?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14924, -14923, -14922, -14921, -14920, -14919?\nAnswer: -14918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-11 - -15) - -57\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -400\/9 + 4\/9*u**3 - 56\/9*u**2 + 260\/9*u = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1617 and 18249.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - 2321102140?\nAnswer: -2321102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 188*b**2 - 14*b + 8. What is o(1)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 8*r - 46 + 9*r**2 + 5*r - 9*r + 7.\nAnswer: 9*r**2 - 12*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -582.1 + 551. Let s = j - -31.100000059. Round s to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*v + 1 = 0, -180*j - 9 = -175*j + 4*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 264377?\nAnswer: 264376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 0, 3*q - 109 = k + 777. Let n(j) = -5782*j. Let d(y) = 59*y. Let r(w) = q*d(w) + 3*n(w). Let m(z) = -z**2. Determine m(r(u)).\nAnswer: -3481*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2 and -93\/848938?\nAnswer: 848938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 10. Let w be s(11). Let k be w\/(-1)*(15 + -10). Find the common denominator of -65\/8 and (k - 2) + (-210)\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 + 0*h**2)*(-2*h + 3*h + h) + (-9 + 9 - 5*h**2)*(22*h + 91*h + 466*h).\nAnswer: -2891*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 0)*(3*f - f - f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, o: 2, u: 2, l: 2, z: 3}. What is prob of sequence lu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20744 and -0.2?\nAnswer: 20744.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -1 - (-73 + 9 + -7). Put z, -4, 3 in descending order.\nAnswer: z, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 10b6835?\nAnswer: -10b6837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2145 - -13724. Let c = v - 15666389\/1353. Does 1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169816135 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 3, -4, -3, 341 in decreasing order.\nAnswer: 341, 3, -3, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0 - 6) + 14 - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-110) + (-1771)\/10. Let u = 177 + y. Solve u = k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 8, 26, 54, 92?\n\"Answer: 5*j**2 - 7*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(30)\/(sqrt(90)\/sqrt(9)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (-1 + sqrt(180)))*2*-4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(351\/(-430)) - (4 - -2)*-1. Which is bigger: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12470451 + 0.1167042. Let g = i - -0.008. What is g rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12) - 207\/644.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 4:37 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32 and 260.679044.\nAnswer: 228.679044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 7740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17855774327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15772 is divided by 756?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 0*t**2 - 21*t**2 + 169*t**2 - 36*t**2 - 35*t**2 + 8*t**2.\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 37*l**2 - 11*l - 56. Let w be r(17). Calculate the highest common divisor of 288 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2870431.919 to the nearest 10000.\nAnswer: -2870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34270 and 338230?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = -2*d. Suppose 0 = -f + 4 + d. Let y be (-110)\/(-12) - 1\/6. Solve -f*s - y = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7823.\nAnswer: 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 858*r**2 - 245388*r + 23393656 = 0 for r.\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -943 - -107?\nAnswer: -83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3*c**2 + 15 - 12*c**2 - 2*c**2 - 10*c**2 + 308. Let s(h) be the first derivative of h**2\/2 - 1. Calculate s(x(w)).\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + ((6 - -4) + -4 - (101 - 110))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*w = 2*w - 54, 0 = -2*q + 4*w - 26. Let j = 15 + q. Is j\/(-12) + (-212)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 1. Let j be c(1). Let o(z) = z**3 + 11*z**2 + 8*z + 1. Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -727*k**2 + 4*k + 3. Let y be a(-1). Let i = -713 - y. Calculate the remainder when 59 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b. Let n(p) be the second derivative of 7\/4*p**4 + 0*p**3 + 0 + 99*p + 0*p**2. Determine i(n(k)).\nAnswer: -147*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - b + 2 - b + 7*b + b - 5*b + b + b - 4*b - b + 0*b - b + (b + 1 - 1)*(3 + 1 - 3) - b - b + b - b + b - 3*b.\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/(2 + 1). Suppose f*y - 52 = -2*y. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Suppose 66*n + 7 = 62*n + 5*s, 25 = 5*n + 5*s. Let o = 4 - 1. Let g(u) = n*u - u + 8*u - o*u. What is l(g(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) -2\/11 (c) 0.2 (d) -0.9 (e) -2\/9 (f) -1 (g) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-8) + (-9)\/12. Let y(i) be the first derivative of 0*i + 0*i**z - 1\/21*i**6 + 0*i**5 + 0*i**2 + 1\/14*i**4 + 2. Factor y(s).\nAnswer: -2*s**3*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272\/9 - 4451\/144. Calculate the common denominator of t and 59\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.634468 millilitres?\nAnswer: 0.003634468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47003\/6 - 7854. Find the common denominator of (-6)\/(1\/(6\/(-56))) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmx when three letters picked without replacement from mmxxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/38736 and -97\/96840.\nAnswer: 193680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(50)\/sqrt(5))*6)\/(sqrt(605)*2).\nAnswer: 6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 4. Let m be b(9). Suppose -m = 5*l - 6*l. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.431931 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1)\/(1\/7). Let j(q) = -q**2 + 43*q - 61. Let b be j(41). Calculate the greatest common factor of b and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let w(s) = -2*s - 3 + 5*s + 3. What is j(w(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 266\/24 + 627\/(-57). Let w(j) be the second derivative of -2*j + 0 - 1\/2*j**2 + m*j**4 + 0*j**3. Factor w(t).\nAnswer: (t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 14*c**2 + 5*c + 1. Let l be s(1). Calculate the remainder when 97 is divided by l + 12 + 42\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from hhdddhddhddddhdddd.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 13*x + 5. Let u be h(5). What are the prime factors of 5212\/12*3 + 5 + u?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6036471 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-1 + 7 - 11)) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -241, 0, -10, -34 in descending order.\nAnswer: 2, 0, -10, -34, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-6)\/(1 - -2)). Let j be 1 - (2 + -3)*1. Suppose 0 + 2 = -4*w - j*n, 3*w = -5*n - 12. Is w >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 4*o = -4*g - 806, 5*g + 3*o - 1994 = 0. Let k = 457 - g. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/16))\/a**(-15) assuming a is positive.\nAnswer: a**(259\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 773.\nAnswer: -11\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -999 = -2*m + 4*n + 1767, -n = 4*m - 5487. Solve 0 = 7*i - 1366 + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15649172 and 894?\nAnswer: 46947516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6838635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*c = 82 - 414. Let q = 4 + 3. Solve t = c - q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from zbthhhhhhhhhth?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 71*z + 190. Give c(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.94819 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 112 + 112 - 444 + 350*y + 113.\nAnswer: 350*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*u + 2*u. Suppose 6*j - 4*j = 4. Calculate the highest common factor of j and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(-2\/5))**(-3\/5) assuming z is positive.\nAnswer: z**(-12\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*l**2 + 1349*l**2 - 275*l**2 - 675*l**2.\nAnswer: -298*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {o: 2, m: 1, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1042 - 1046. What is the nearest to 0 in v, 0.4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 650520?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 824 - -38632?\nAnswer: 40556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36283 and 0.1.\nAnswer: 36283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 18\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -405 + 403. Let p = -20 + 16. Let w = 19 - 19. Which is the smallest value? (a) w (b) -0.3 (c) p (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - 4*j**2 - 4*j**2)*(-4*j**3 + 3*j**3 + 3*j**3 - 2*j**3 - 6*j**3 + 0*j**3 + (4 - j - 4)*(0*j + 0*j - 2*j**2) - 8*j - 43*j**3 + 8*j).\nAnswer: 94*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 711600, 1423194, 2134788, 2846382?\n\"Answer: 711594*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -2731483?\nAnswer: 2731485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1342 - -0.117. Round c to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 11 = 4*q, r = -q + 21 - 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 29 + 40. Suppose 0 = 4*n - 3*o - 1, 3*o - f = -n - n. Suppose -g - n*g = -185. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.5. Let z = -1.3 - n. Let b = -0.01 - 0.09. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 16*f - 23. Let s be w(17). Which is greater: s or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let a = 15 + -13. Suppose i - a*d + 6*d + 5 = 0, -i - d = 2. Sort i, g, -4.\nAnswer: g, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 58122.\nAnswer: 174366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((3\/(-25))\/3). Suppose 0*c + c = 4*x - 10, -x + 8 = -3*c. Suppose 3*n = -4*i, -x*n - i = -3*n + 7. Solve -z = v + n*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 9*u - 5. What is w(6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -208*q**2 - 45342*q + 313. Calculate b(-218).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (((sqrt(2448) - -4*sqrt(2448)) + sqrt(2448))*1)**2 + sqrt(2448)) + -1.\nAnswer: 60*sqrt(17) + 440624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2990791, 2990790, 2990789, 2990788, 2990787?\nAnswer: 2990786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 0 - -21)\/(-223 - -225). Let z be (-6)\/(-4) + 2\/(-2). What is the closest to z in 1, h, -4, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-12) - (-2)\/12. Suppose -z - 1969 = -2*o, o - 3*z + 236 - 1228 = h. Let v = 690 - o. What is v rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 3, d: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 449712.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 45*r + 24*r - 3 to the form m*r + p and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + 41?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 divided by 200?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.5 + 33. Let y = 5.5 - u. Let p = -5 + 2. Sort p, y, -2.\nAnswer: p, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 r when four letters picked without replacement from rrnawrnanwr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49938)\/328)\/(-87)*(-24)\/(-119)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(3\/6). Suppose 4*u = s*o + 27, -2*u + 6*u + 8 = -4*o. Suppose -65 = -u*r + 2*g, 0*g = g + 1. Calculate the highest common divisor of 84 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70777 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 309*j*n**4 + 352*j wrt n.\nAnswer: 1236*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141181247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86, 145, 1402, 4387, 9802, 18349?\n\"Answer: 117*w**3 - 189*w**2 - 21*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 divided by 1.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/3 - 6728*a**2 + 22041120*a - 23602723200 = 0. What is a?\nAnswer: 2820, 4452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 4*l - 7, 0 = 3*l + 171 - 168 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 3 - 3)*(2*z - 3*z + 2*z + (-2*z - 3 + 3)*(6 + 0 - 4)) as c*z**2 + n*z + l and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1*(-9)\/3). Let f = 3.06 - 0.06. Sort f, v, -5.\nAnswer: -5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 + -2203?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.1 + 14.18. Let k = y - 3.54. Round k to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 210\/13? (a) -21\/8 (b) 0.17 (c) 0.4 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*755.\nAnswer: 60.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/9 (b) 7\/20 (c) 16 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126902352 by -166.\nAnswer: 764472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 10 + 20 - 11. What is u(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:16 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6076142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-93)\/(-4) - 2\/8. Suppose 4*t = r + 36 + b, 0 = 4*r - t + 191. Does 8 divide r\/(-6) + 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let b = -62 - -60. What is the nearest to w in 0.5, 5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*k + 34*k - 4*k - 6*k)*(5*k**2 - 5*k**2 - k**2).\nAnswer: -50*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189223 or -2459910\/13?\nAnswer: -189223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k - 5. Let w(x) = -44*x + 16. Determine 10*i(j) + 3*w(j).\nAnswer: 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 4 (c) -0.501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 28*m**2 + 0*m + 82 + 2*m**6 - 44*m**3 + 68\/5*m**5 - 33*m**4. Determine t so that x(t) = 0.\nAnswer: -7, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1443345 days in minutes?\nAnswer: 207.84168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31724480 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*x + 10, -j = -0*j + 3*x + 4. Suppose -f + 176 = -q, -5*f + j = -6*f. Let t be (-51 - (-3)\/3)*q. What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70328\/3 equal to -23442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/9 - 214502*r\/9 - 428996\/9 = 0. What is r?\nAnswer: -107249, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 18 = 0. Let f = g - -8. Let p(w) = w**3 - 9*w**2. Let v be p(9). Solve f*i + 0*i - 10 = v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 - 3088*t + 15273. Give q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 9 - 9)*(2*i**3 + 5*i**2 - 5*i**2).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23402313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412472 by 103118.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. Let g = j - -7. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.787 - 2.016. Let p = o - -78.929. Round p to 0 decimal places.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91232 divided by 4?\nAnswer: -22808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-112))\/((36\/(-21))\/(-2)). Let l(x) be the third derivative of 0 + 0*x - f*x**3 - 1\/30*x**5 + 1\/6*x**4 - 3*x**2. Let l(g) = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/6 - 43325*h\/3 + 88447931\/6 = 0.\nAnswer: -87659, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/198180 and 83\/44040?\nAnswer: 396360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -21. Suppose q - 12 = -x*l, 0 = 3*l - 2*q - q + 6. Let j(i) = -i**3 + 7*i**2 - 9*i + 2. What is the remainder when j(5) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -w. Suppose 10*t - 5*t - 20 = -5*o, -t - 28 = -w*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/325828758 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:39 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 381263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -7*(5 + -4). Let y(j) = -j**3 + 2*j + 1. What is the smallest common multiple of y(r) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.81, -2, 6, 406 in ascending order.\nAnswer: -2, 6, 11.81, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 + 104. What is the hundreds digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgla when four letters picked without replacement from gxggxgacmllx.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*3\/12*-2. Let g(t) = 2*t**3 - 2*t**2 + 2*t + 1163. Is g(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -2\/9 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -1 - (11 + (8 - (10 + 8)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -26. Suppose t*j - 106 = 4*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 + 8*d**2 + 15*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1802? (a) 0.5 (b) 2\/19 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6055 + 6172. What is the lowest common multiple of 43 and j?\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77632.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 3*z - 10*z - 468 - 9*z.\nAnswer: -16*z - 689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62459269 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*2 + -1)*2 + 1 + -5*(sqrt(252) + 1 + 0 + -1 + sqrt(252) + 0 + sqrt(252)))**2*6.\nAnswer: 648*sqrt(7) + 122478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 9 (c) 0.1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-627)\/(-57))\/((-18)\/(-18)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7092133 to the nearest ten thousand.\nAnswer: 7090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15700755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1100 and 153120?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.0025 - -47. Round a to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 3 + g**3 + 18*g - 6*g**3 - 17*g + (2*g - 2*g**2 - 2*g)*(0 + 0 + g).\nAnswer: -7*g**3 + 2*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9878*w - 17310 wrt w?\nAnswer: 9878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 not equal to 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/138 and -71\/263396?\nAnswer: 790188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c186 - -6?\nAnswer: -c180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 8. Let v be n(11). Let l be v + 3 + -2 + 1. Solve -3*t + 37 = -0*t + 5*k, 0 = t - 4*k + l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 15246 = 639025. List the prime factors of x.\nAnswer: 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-60))\/((-168)\/32))\/(165\/90)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-3))\/(h*(h**(-13)*h)\/h*h))**38 assuming h is positive.\nAnswer: h**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.73 - -277.73. Let h = -270 + y. Which is the closest to -0.1? (a) h (b) -2\/19 (c) 24\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-24)*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -50. Let v(q) = q + 6. Let h be v(6). Calculate the greatest common divisor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n + 1. Let g be u(-1). Let p be (g\/2)\/(4\/(-56)). Suppose -4*l - 2*s + p = 3, 4*l = 5*s + 53. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1285 - -782. Let z = 2066.9007 - w. Round z to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -167, -171, -177, -185, -195, -207, -221?\n\"Answer: -g**2 - g - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -83 - ((-325)\/(-25) + 68\/(-4) + 4)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 16 - (-1 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -25. Is -1 + 2 - (-3516)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-21))\/(2\/(-7)) - -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - 23*y + 4*y**2 - 6*y**2)*(-585 - 64*y + 585) as z + w*y**3 + n*y**2 + f*y and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 54. What is p(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuwuuwwuuwwydwy. Give prob of sequence uuw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 16 - (6 - 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -58*j + 9. Let f be u(-4). Let l = -135 + f. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1038, 4198, 9472, 16866, 26386, 38038, 51828?\nAnswer: 67762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 4. List the prime factors of c(-17).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxaxxwwaw?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 5395*t**2\/3 - 7109168*t\/3 - 453961024\/3.\nAnswer: -(t - 2728)**2*(t + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/27 + 5 + 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/12)\/((54\/(-135))\/((-8)\/(-5))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/147, 3, 0.09 in descending order.\nAnswer: 3, 0.09, -2\/147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*d - 24804, 22525 = -5*f - d + 63835. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 98. Let y be m\/6*-44*1. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(111\/(-1038960)*-108)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/10825, 13, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 13. Suppose 25 = 2*s - j. Suppose 0 = 4*t + 3*k - 168, 172 = 5*t + 43*k - 44*k. Calculate the remainder when t is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40318, -0.2, 0.4, 1\/4 in descending order.\nAnswer: 40318, 0.4, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4\/3 - 184*t**3\/3 - 564*t**2 - 5480*t\/3 - 5600\/3 = 0.\nAnswer: -35, -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160.613*10.8.\nAnswer: -1734.6204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**3 - 32286*u**2 + 77412*u - 25800.\nAnswer: 3*(u - 2150)*(u - 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/177 or -1725?\nAnswer: -44\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:03 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23618 - 20332. What is the highest common factor of 124 and f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 35451968*a. Let x(g) = -2*g**2. Calculate x(s(m)).\nAnswer: -2513684070146048*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.45 + -12.45. Let u = -7 - -10. Which is the smallest value? (a) 31 (b) -1 (c) n (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/270 and -49\/1035?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*v = 20, -2*z - v = 2*v - 15. Suppose 5*o + z*k + 37 = 2*k, -2*k = -2*o - 4. Let q be (o - (-3 - -1)) + 1303. Round q to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let f(d) = 8*d**2 + 4*d - 4. Let m(r) = -17*r**2 - 9*r + 9. Let s(y) = -9*f(y) - 4*m(y). Determine s(w(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 - 29*k**2 - k + 4. Does 28 divide r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 132*v + 142*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 114.67. Let c = x - -1.07. What is the closest to 0.5 in 2, -4\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 16 - 5 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/9)\/l)\/l**(2\/11)*l**(-6)*(l**(1\/7)*l)\/l assuming l is positive.\nAnswer: l**(-4570\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + k + 92, k = -n - 4*n + 230. What is the units digit of n + 2 - (3 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 222*x\/5 + 436\/5.\nAnswer: 2*(x + 2)*(x + 109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 40. What is the nearest to u in 0.2, 2\/9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*y - 3, -5*y + 50 = 3*u + 61 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 75. What is the smallest value in y, -1\/4, 2, 4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*b - 100?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536333 is divided by 73153?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*sqrt(136)*-2 - sqrt(136))\/sqrt(8) + (6*(0 + sqrt(1700)) + -4)**2.\nAnswer: -493*sqrt(17) + 61220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/47 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000573385 rounded to 7 decimal places?\nAnswer: -0.0000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + 3*m**2 - 3*m. Let g(v) = 7*v**3 + 2*v**2 + v + 3. Let h(l) = -6*l**3 - 2*l**2 - 2. Let c(t) = 4*g(t) + 6*h(t). Calculate -3*c(w) - 4*x(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1440000 (base 5) to base 8.\nAnswer: -73641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 3*h - 773. Let u(x) = 3*x**2. Determine r(u(q)).\nAnswer: 27*q**4 - 9*q**2 - 773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -68*z**3 - 8*z**2 - 3*z + 4. Let c(u) = -68*u**3 - 6*u**2 - 2*u + 3. Give 3*a(g) - 4*c(g).\nAnswer: 68*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178640.\nAnswer: 2, 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764.2984um to millimeters.\nAnswer: 0.7642984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3834902, 3834887, 3834872, 3834857, 3834842, 3834827?\nAnswer: 3834812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1480 - 6*d**3 + 1561 + 4*d**3 - 2*d**3 to s*d + p + r*d**3 + h*d**2 and give p.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(7*w**5 - 3*w**5 + 2 + 9*w**5).\nAnswer: 13*w**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5358*m - 58940. What is u(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (77 - 77) + (-2 - (-1030)\/494) and -53\/1235?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1109*7042\nAnswer: -780.9578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 448*a**2.\nAnswer: -4*a**2*(a + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14*(4 + -8)\/(-8). Let o be (r - -1)\/(-1) - -3. What is the derivative of 2 + 0*v - v - o*v + 10 wrt v?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 192 = -11*z. Let k be 1\/((-2)\/z - 0). Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - (-3561)\/12. Suppose 5*r - 756 = -4*b, 653 = 5*b + 5*r - y. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*(d*d\/d**0*d*d)\/d*d*d)**9\/((d\/d**5)\/((d\/(d\/d**(-8\/5)*d))\/d)))**(1\/30))**(6\/11) assuming d is positive.\nAnswer: d**(317\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 41*k**2 - 11. Let q(a) = -3*a**3 + 14*a**2 - 2*a + 4. Let u(v) = 2*v**3 + v. Let p(r) = q(r) + 2*u(r). What is 17*p(w) + 6*x(w)?\nAnswer: -w**3 - 8*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-6)*1600\/140*-3. Calculate the highest common divisor of 870 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -14. Let i = -3.99 + c. Let n = i + 0.39. What is the third biggest value in -1, n, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 173*n**2 - 1261*n + 172*n**2 + 3 as v*n**2 + c*n + q and give c.\nAnswer: -1261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 69*r**2 - 217*r + 217*r to the form i + t*r + q*r**2 and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 10) to base 13\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/50)\/(-7))\/(((-54)\/45)\/6).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1250.1 - -1250.10015115. What is u rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.0097\nAnswer: 0.00679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 464 - 440. What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*q - 165, q - 2*q = 3*l - 443. Let d = 753\/5 - l. Suppose -4\/5*x**2 + 2\/5*x**3 - d*x + 16\/5 = 0. Calculate x.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2131013 (base 4) to base 10\nAnswer: -10055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6636301?\nAnswer: -2\/6636301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 8*x - 8 + 0 - x + 0 + (2*x + 0*x + 0*x)*(1 + 1 + 0) - 1 + 2*x + 1 + 2*x + 0*x + 0*x + 2*x + x - 2*x + x - 5*x + x to the form l + p*x and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 24*a - 14. Calculate w(-15).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -28*h - 2. What is the remainder when g(-40) is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*s + 0*s = -424, 204 = m + 3*s. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joqfqqjxooof. What is prob of sequence jqf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 336048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1286 + 111158?\nAnswer: 108762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23\/106 (b) 0.98 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -724046 - -3620232\/5. Factor -2\/5*p - 2\/5*p**2 + 2\/5 + k*p**3.\nAnswer: 2*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.255 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*n + 201. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 - 6. Let c(r) = r**3 - 5*r**2 - 5. Let g(u) = 7*c(u) - 6*o(u). Let q(h) = -8*h**3 - 6*h**2 + 3*h - 6. Calculate 6*g(j) + q(j).\nAnswer: -2*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h. Let y(r) be the second derivative of 1\/36*r**4 - 1\/90*r**6 + 0 + h*r**3 + 2*r + 0*r**2 + 0*r**5. Find d such that y(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8 and (-42)\/33 + 1 + -3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132)\/(4*sqrt(3)))\/(-4*sqrt(32)\/sqrt(8)*-2))**2.\nAnswer: 11\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3926 and 0.3088?\nAnswer: 1212.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-23) - 756\/(-8694).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 - y**2 + (-5*y - y - y)*(3*y - 5*y + 0*y))*(-4*y + 5*y + 0*y) + 21 - 21 - 5*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283312 is divided by 495.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18408 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:52 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*5.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 683 - 520. What is the remainder when s is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00289922613 rounded to 7 dps?\nAnswer: -0.0028992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(3 + (-169)\/52)\/(2\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**8\/84 - 24*v**7\/35 - 67*v**6\/15 - 196*v**5\/15 - 43*v**4\/2 - 64*v**3\/3 + 928*v**2. Factor p(n).\nAnswer: -4*(n + 1)**4*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 9 = 8*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -86. Let i = c + -28. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*z - 16, 5*z - 3 + 23 = -n. Solve n = -8*y - 61 + 13 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 18. What is the remainder when 7 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 - 3*y**2 + 10*y - 148. Determine b(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 5:31 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16920326986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9400\/5593*-7 + 12.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2*h**2 + 5*h**2)*(505 - 23 - 188 - 22*h).\nAnswer: -44*h**3 + 588*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26490599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1581\/11 - 543809\/3784. Find the common denominator of x and 113\/430.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 2*g**2 + 3*g**2)*(11*g - 6*g + 13*g).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 18*c + 8. Let z(a) = -a**2 - a + 1. Let s(g) = -x(g) - 2*z(g). Calculate the remainder when 2\/3 + (-65)\/(-15) is divided by s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 - l - 1. Let n be (0\/((-2)\/(-2)))\/2. Suppose n = 3*y + 12, -2*v = y - 14 - 0. What is the smallest common multiple of w(2) and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + -90. Calculate the remainder when ((-4)\/(-8))\/((-2)\/d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p + 7. Let m be k(-7). Suppose 0 = -n - m*n - 4. Are n and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8263 + 8263. Let j(v) be the first derivative of 1\/3*v**2 + t*v - 2\/3*v**3 - 2\/15*v**5 + 1\/2*v**4 + 1. Determine q so that j(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15 - (-4)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 731 - -1661?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let z = 11 - 6. Suppose -2*p = z*u - 162, -4*p - u = -v*u - 280. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755654155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (11 - 3)) + -54 + 70.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -8. Let y(q) = q**3 + 6*q**2 + 5*q + 2. Let l be y(g). Find the first derivative of -4*a**l + a**2 - 1 + 4*a**2 wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose -k + d*k = 9. Solve 0 = 3*c - 3*a, k*c + a - 2 = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -895*z**2 + 2. Let d(c) = 7*c**2. Determine d(o(p)).\nAnswer: 5607175*p**4 - 25060*p**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 5*s + 5 + 5 - 10 + 4*s.\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t + 8. Let x be 2\/6*0\/41. What is u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.8252.\nAnswer: 0.08252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*d**3 - 25*d + 25*d.\nAnswer: -276*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/16752 and 31\/86833992?\nAnswer: 173667984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*j = 1342 - 497, 5*o = j - 1401. Let y be 1\/12*3 + (-170)\/o. Factor -4\/7*f + y - 2\/7*f**2.\nAnswer: -2*(f - 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/220?\nAnswer: -3\/220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -15 - 11) + (29 - 59).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261\/82 or 2\/35363?\nAnswer: 2\/35363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115896, -463598, -1043102, -1854408, -2897516, -4172426?\nAnswer: -5679138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)*(-5336)\/24812. Let x = -12183067\/11971790 + u. Let l = 1\/386 + x. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1299 + 1474. What is the greatest common factor of 100 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d + 26*d - 4. Let t(n) be the first derivative of -1\/3*n**3 + 0*n**d - 3 + n. Factor t(a).\nAnswer: -(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*t**3 + 26 - 18 + 3 wrt t?\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 1, s: 11, e: 5}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 703052061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 3*y = 7, 0 = 2*b - 4*y - 1 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 35. Let l be n(-15). Suppose 0 = -24*s - 19 - l. Put s, -7, -3, -5 in descending order.\nAnswer: s, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478488 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q**(-15)\/q*q*q)\/q)\/q))\/(q**(-18)*q))\/(q\/(q**6*q))**7)**47 assuming q is positive.\nAnswer: q**3572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*o + 2*o - 39, -5*o = -3*a - 32. Let u(j) = j**2 - 7*j - 1. Let p be u(o). Let m(h) = 122*h**2 + 3*h + 2. Is m(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p**3 - 1465717*p + 1465717*p - 2.\nAnswer: -37*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 22*k - 10. Let r be f(7). Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-4)**2 - sqrt(76)) + 3 + -3*sqrt(76)*2 + ((-3 + 4*(-1*sqrt(76) - sqrt(76) - sqrt(76)))*-5)**2.\nAnswer: 3586*sqrt(19) + 275044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3288, -13176, -29658, -52734, -82404?\n\"Answer: -3297*z**2 + 3*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 9*o - 5. Give n(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 2. Let h be m(7). Let g be (-2)\/(3\/((-42)\/4)). Suppose -3*d + 173 = -g. What is the greatest common factor of d and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -10599 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 945, 1012, 1123, 1278, 1477?\n\"Answer: 22*q**2 + q + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 22*f - 41. Let m be y(-19). What is the first derivative of -56*h + m + 24*h + 37*h wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 5*v - 6. Let c be s(-6). Suppose c*z + z - 6 = 0. Suppose 2*w = -z, 84 = 3*p - 2*w - 3*w. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -44. Let i = -4 + l. Is 25 a factor of 49\/2 + i\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26381, 26567, 27067, 28037, 29633, 32011, 35327, 39737?\nAnswer: 45397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -33. Let b = n + 4. Let f be (12 - 4)\/2 + 0. Solve -d = f*a - 3*a + 8, 5*d - a + 16 = b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033 + 10?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57400.84 weeks in microseconds?\nAnswer: 34716028032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121, 167, 249, 385, 593?\n\"Answer: 3*y**3 + 25*y + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:21 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 4*m + 34*m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006222 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 245, 4, 0, 30, -21 in decreasing order.\nAnswer: 245, 30, 5, 4, 0, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.9916 nanograms to milligrams.\nAnswer: 0.0009869916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (12 - -11) + 2 + -31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**2 + 641115*a + 25636600 = 0.\nAnswer: -128183, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, -1, -414 in increasing order.\nAnswer: -414, -13, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*d + 5*c, 3*d = -c + 16. Suppose m = d*m - 20. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/1980 - h**4\/132 + h**3\/6 - 6*h**2. Let a(x) be the first derivative of m(x). Suppose a(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19805139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 625.02 - 625. Sort 0.06, -0.03, -0.5, n.\nAnswer: -0.5, -0.03, n, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) 185.98 (d) 3\/8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, -12, -1, -3, 6\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*(-36)\/270)\/(4\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 1565*b + 1527. Give v(0).\nAnswer: 1527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268*k**4*q - k**3*q**2 + k**2*q**2 - 16*q**2 wrt k.\nAnswer: -6432*k*q - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -50*y**2 + 6422*y - 6432. Calculate n(1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.013 - -0.213. What is the nearest to 1\/2 in 3\/5, l, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 20*v + 36, 69765*v - 69766*v = -2*x + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 8*g + 3. Let v(o) = o**2 - 11*o - 4. Let h be v(12). Let n be p(h). Suppose n*u - 1126 = 275. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/((-6)\/8))\/(-2). Suppose x*b = -2*h - 2, -5*h = 3*b - 1 + 14. Solve -3*v + v + 5*k - 16 = 0, b*v + 5*k = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-76) + (-62436)\/(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2667*b. Let z(k) = -25*k**2. Determine z(q(h)).\nAnswer: -177822225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*l = -2*l - 2, 0 = r + l - 9. Let d(b) = b**2 + 3*b - 4. Let y be d(-3). Let v be (-22)\/8 + 1\/y. Put r, v, 3 in decreasing order.\nAnswer: r, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 123 = 273. Calculate the remainder when b is divided by (-6)\/27 + (-292)\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (-1*(-2*1*sqrt(17) + 3*sqrt(68)))**2.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*q = -25 - 71, 2*q + 6 = 0. Let s = 1574 + -1582. Let p = t + s. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3131 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-40)\/(-36) + -1). Solve 0 = 5*r + 5*n + 9 + 1, -9 = d*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 1. Does 7 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -121, -104, -87, -70, -53, -36?\n\"Answer: 17*y - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2985 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -185. Suppose 0 = -5*o + o - j + t, o = 5*j + 57. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2222 divided by -22\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -12*s**2. Let d(c) = -4 + 4 + 28*c - 29*c. Calculate d(j(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (278*g - 4568*g - 11983*g)*(3 + 0 - 2).\nAnswer: -16273*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + 32\/12 + -320. Let z be (-6)\/30 + n\/(-35). Which is greater: z or 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 19*r**2 - 19*r - 17. What is h(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2746 - 318*v**2 - 2746 + 318*v**2 - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 131\/4 (b) 12003 (c) -0.3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 25*y + 826 = 0. Suppose -5*t + 5*o + 90 = 0, 10 = 2*o + 3*o. What is the remainder when y is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13093*c + 84. Let r(y) = -3275*y - 22. Determine 6*j(n) + 23*r(n).\nAnswer: 3233*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220.79 + 221. What is the closest to -1\/3 in -0.1, -5, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.8607um to millimeters.\nAnswer: 0.0298607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.32 + 26.68. Put 5, d, -4 in descending order.\nAnswer: d, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:16 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -4)*-1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32437.\nAnswer: 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 132.5. Let p = g - -0.5. Let o = -0.14 + 0.04. What is the third biggest value in 2\/13, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 10*x + 13. Let o be u(-11). Suppose y - o*m = 95 - 25, 3*y = -5*m + 265. Calculate the common denominator of 9\/2 and (-12)\/y*470\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 6*q - 3. Let k = 4 - -8. Suppose 0 = 4*b - 0*b - k. Suppose 0 = -b*v - v + 16. What is d(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 = -110*s + 2114 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2. Let d(k) = 2*k**2. Let z(s) = -5*d(s) + 3*m(s). Let q(w) be the first derivative of -w**2 + 3. Determine q(z(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -670, 12, -5 in descending order.\nAnswer: 12, 5, -5, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -291 (base 11) to base 7\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*j + 208*j = -z + 1, 2*z + 9 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o - 1\/2*o**4 - 1\/2*o**2 + 2 + 0*o**3. What is the second derivative of a(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-20 - -3) - -16) + -20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + (21 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 200010022021112 (base 3) to base 2\nAnswer: 100100101111010100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 2.4\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2074 + 2070. Which is the nearest to 7? (a) -1\/3 (b) 4 (c) k (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3697594.\nAnswer: -3\/3697594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 153 = -51. What are the prime factors of d?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 51 = 5*q, q + 24 = 3*s - 10. Let b(y) = -4*y + 18. Calculate the remainder when b(-7) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451564 divided by 204297?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 497 * -0.1171.\nAnswer: -58.1987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9032 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.8 + 18.2. Let n = j + 5.6. Let u = -3 + 0. What is the closest to n in -2.2, u, 4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.7. Let c = -0.16998 + -0.03002. Let x = -7 + 12. Put q, x, c in ascending order.\nAnswer: q, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -0.3, 0.7, 0.1, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 7f6?\nAnswer: 7f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57222 and 112200?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2)\/4 + (-27)\/(-42)). Calculate the common denominator of -7\/12 and 90\/16 + z\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3\/2 - 10432065*i**2\/2 - 20864121*i\/2 - 10432059\/2 = 0?\nAnswer: -3477353, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + -2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)\/((-5)\/155). Suppose -2*t + 2*q = -q - 19, -3*t + 5*q = -v. Solve u - t = -5*w + 3*u, -5*w + 4*u - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/60)\/(((-9)\/(-30))\/(-3)). Differentiate 37 + 48*t**4 + 51*t**v - 61*t**4 with respect to t.\nAnswer: 152*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, k: 7}. What is prob of picking 2 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 6\/7 (b) -1712 (c) -63\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -132582, 0.3, 3\/8, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2439.\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*r. Suppose b = -r*b + 40. Solve y = -y - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-416))\/(994\/2769).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3370.\nAnswer: -1\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581, 622, 683, 764, 865, 986, 1127?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1281 - -1357. Solve i*r = 85*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*v**2 + 4*v**4 + 105*v**2 + 1 + 94*v**2 + (108*v**4 + 394*v - 394*v)*(1 - 1 + 1) as f*v**3 + j*v**2 + u*v + q*v**4 + z and give q.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 9) to base 7\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 431.94 + -0.94. Let u = -430.92 + o. Sort -5, 1\/3, u, 2\/11.\nAnswer: -5, u, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2969245ml in litres?\nAnswer: 0.0002969245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1252.\nAnswer: 1\/1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 11*c**2 - 9*c - 36. Let g = 428 - 416. Let n be y(g). Solve n = 3*t, 4 = -4*i + 3*t - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 5583272 + 5583129 + 3*p as o + h*p and give o.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z + 13. Suppose -z*w + 3*x - 2*x = -5, -3*w + 5 = -x. Solve -4*b + 12 = -w*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-168))\/((-7)\/168)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 694*c + 106893 - 169353 for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/48 and (-2)\/(-165)*((-14070)\/(-48))\/7?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -786219\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 1)*(31 + s - 31)*(-2*s**2 + 5*s**2 - 2*s**2) in the form o*s + m*s**2 + x*s**3 + z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(4 - 3)*(-10 - 2377). Suppose t + 3 = 0, -7*m + 2*m + 4*t + b = 0. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*72\/45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648 and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c1 + -28?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/60 - q**4\/8 - 3*q**2. Let m(k) = -5*k**3 + 7*k. Give 7*b(n) + 3*m(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:15 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/108*6992\/93955*(-6)\/(-8).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 7. Let d be y(3). What is the hundreds digit of 120 - -2 - (-10)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqxxqqxxxxxqqqqxxqqx.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243.07 - 243. Round f to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*z**4 - 9 + 35*z - 4*z**4 + 25*z - 11 - 50*z**3 + 15*z**2.\nAnswer: 5*(z - 2)**2*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - f**2 + f + 3. Let i be 20\/(-15) - (-1)\/3. Let c be p(i). Factor 2\/3*y**c + 4\/3*y**2 - 4\/3 - 2\/3*y.\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -125*l - 2 + 94*l + 0 + (-2 + 2 + 2)*(2*l + 0 + 0).\nAnswer: -27*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (233 - 226) + -13 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 13*m**7\/210 - m**6\/40 - 7*m**5\/15 - 32*m**2. Find the third derivative of j(c) wrt c.\nAnswer: 312*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 4*x + 4. Suppose -12 = -2*o - 15*g + 11*g, -3*o = 2*g - 14. Let h(j) = 8*j**2 + 11*j + 11. Give o*h(t) - 11*m(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/5 - 19*a + 96\/5 = 0?\nAnswer: -96, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -243*c**2 + 2. Let d be v(-1). Let r = -144 - d. Suppose y + 0*x = 3*x + r, -3*x = -4*y + 388. List the prime factors of y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 106*r - 3275. Let g be n(31). Solve 2*q + q = g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84605b (base 12) to base 10\nAnswer: 2084039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(9)) + -1*sqrt(30)\/sqrt(6) - (4 + ((sqrt(45) - 2*sqrt(45)) + 1)**2)) + -1.\nAnswer: -51 + 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72713\/13882 + -415\/1262. Find i, given that 106\/11*i - 2\/11*i**3 - 50\/11*i**2 - q = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9764063*c**3 + 1012635*c**2 + 6*c wrt c.\nAnswer: -58584378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1127933536 to the nearest integer?\nAnswer: 33585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 6 + 11*k + 6 as r + i*k and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5355493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9686*j**4 - 6259.\nAnswer: -38744*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 33?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v + 30. Let a(y) = 6. Let p(w) = 5*a(w) - o(w). Let z(u) be the third derivative of -u**5\/6 - u**4\/6 - 13*u**2. What is -4*p(n) + z(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 54. What is the smallest common multiple of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 118\/13 (c) -17 (d) -14 (e) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 32*m + 30*m)*(m**2 + 2*m**2 - 4*m**2)*(-31*m + 25*m - 26*m).\nAnswer: 1536*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 a when four letters picked without replacement from {l: 5, a: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uue when three letters picked without replacement from euueeeuuee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1883263439709 and -0.56?\nAnswer: 1883263439708.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 61472554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133111202 (base 4) to base 16.\nAnswer: -1f562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 39\/2*t**4 + 149\/3*t**3 + 0*t + 0*t**2 - 67. Find the third derivative of i(a) wrt a.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/(-38))\/(264\/16)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/153, -0.2 in descending order.\nAnswer: -2\/153, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482327 is divided by 226.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/30 + 38*w**5\/15 + 361*w**4\/6 - 123*w**2 + 3. Solve p(y) = 0 for y.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.44 + -1.436415. Round g to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1394, -3313, -5286, -7319, -9418, -11589?\nAnswer: -13838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9940044 or 19880085\/2?\nAnswer: 9940044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 715 + -684. Suppose 5*q + 11 = h, f + q - 1167 = 0. What are the prime factors of f?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1536*d**2 + 764*d + 772.\nAnswer: -4*(d - 1)*(384*d + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/((-21)\/(-9) - 2). Is m\/(1*1\/(-331)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-3))\/(4\/(-6)). Let v = -14 - -22. Solve -a*n = 7 + v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-12)*6 + 155\/2. Let j = v - 75. Let m = 16 + -11. Put j, m, 0 in ascending order.\nAnswer: 0, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2807*q**2 - 2715*q**2 - 1749*q**2.\nAnswer: -7271*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 0.3. Let d = -0.08 + 2.08. What is the third biggest value in t, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 136\/(-204)*(0 - 6\/4). Suppose 5*i = 4*p - 6, -3*i - 2*p + p + 10 = 0. Let n be (-13)\/34 + i\/4. What is the smallest value in 4, x, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(2\/5)*o\/o**(-1\/7)*o*o**(-5)\/o)\/((o\/o**(-1\/4))**(3\/8)\/(o**(-2\/7)\/(o\/(o**(-2\/17)*o)))) assuming o is positive.\nAnswer: o**(-18009\/3808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 21\/4 (c) 0.4 (d) 4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -694\/9. Let v = -1.714 - 0.286. What is the closest to v in -5, -0.3, 3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 9*l - 10. Let w be i(-10). Let y = -0.258 + -0.142. What is the nearest to w in -1\/5, y, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -28, -39, -46, -49?\n\"Answer: 2*d**2 - 21*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -231*n + 27. Let j(m) = 3*m**2 + 60*m + 284. Let k be j(-12). Let y(h) = 33*h - 4. Give k*q(a) - 27*y(a).\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y + 7. Let q(f) = -f**2 - 16*f + 6. Suppose 66 = 4*s + 10. Let l = s - 30. Let d be q(l). Give m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (22 + (-34 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m. Let d be (-1)\/((-3)\/3 + 0). Let o(c) = 0 + 1 + c - d. Give t(o(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j**2 - 118*j - 12. Let b(u) = -106*u**2 + 710*u + 70. Calculate 6*b(o) + 35*x(o).\nAnswer: -6*o**2 + 130*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144869381 to the nearest integer?\nAnswer: 12036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360950.764 rounded to the nearest ten thousand?\nAnswer: 4360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6361.324 + -6610.32392. Let s = j - -249. Round s to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 2*p**4 - 3*p**4 - 2*p**4 + 3*p**4 + p**4 + (0*p**3 - p**3 + 0*p**3)*(-2 + 2 - 2*p) + 51*p**4 - p**4 - p**4.\nAnswer: 52*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 7*v + 51. Let u = v - -157\/3. Let g = 0.49 + 0.01. What is the smallest value in g, 1, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.66635cm?\nAnswer: 0.0000366635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -178*t + 2167. Let v be f(10). Solve v*q + 10 = 392*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 6, 5, 0.19, 0.257?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 527277 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/24 - -7) + -13.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 24 = -3*a, 51*y + 59*y - 3*a = 111*y + 32 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Let g = 5 + 20. Suppose g = 5*z, -4*y + z = -z - 38. Calculate the smallest common multiple of y and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -15*x - 5*k + 9065, -x - 4*k + 1807 = 0. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119171 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-90))\/((-160)\/25)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/8 + 395*v**3\/6 - 793*v**2\/4 + 397*v\/2 - 5174. Determine z, given that o(z) = 0.\nAnswer: -397, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -8. Let d = i - -22. Solve d*n - 16 = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {e: 2, y: 1, j: 1, q: 2, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23182 (base 12) to base 5\nAnswer: -3000043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -37*o**3 - 4*o**2 - 2*o - 4. Let v(d) = -36*d**3 - 5*d**2 - d - 5. Determine 5*q(z) - 4*v(z).\nAnswer: -41*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12 and 49\/794.\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/30 + 94*o**5\/15 - 2209*o**4\/6 - 149*o**2\/2 + 76*o. Let f(l) be the first derivative of q(l). Factor f(s).\nAnswer: -4*s*(s - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336490 or 1?\nAnswer: -336490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3 - 176*c + 7 wrt c?\nAnswer: 3*c**2 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0101014 to 5 decimal places.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-22.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12*j - 2 = 10*j, 5*g + 3 = 3*j. Let y(u) = -3*u**2 + 5. Let h(k) = -2*k**2. Let a(w) = 4*h(w) - 3*y(w). Calculate a(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44849, 44872, 44933, 45050, 45241, 45524, 45917, 46438?\nAnswer: 47105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let s = 59 - 64. Let h = f + s. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 4. Suppose -5*j = -o - 4. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4533 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0 - 24. Suppose -c*s - 6 + 18 = 0. Let a(o) = -o**s + 2*o**2 - 2*o**2 - o + 3. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3)\/(8\/(-8)). Is -24\/37 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*d + d, -12 = 4*b + 2*d. Let l(f) = -f**2 - 4*f - 1. Let x be l(b). Let n be (x - -3)*3\/(-9). Is n at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let t = 4.9 + d. Which is the nearest to 1? (a) 2 (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w - 1. Let r(n) = -11*n**2 + 5*n + 6. Let j(m) = 24*m**2 - 11*m - 13. Let o(t) = -6*j(t) - 13*r(t). Determine f(p) - 5*o(p).\nAnswer: 4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3988.381 years to decades.\nAnswer: 398.8381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = 5*p, 53*o - 48*o + 9 = 4*p. What is the closest to p in 1\/5, -2\/11, 264, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 8*h**2 + 0*h - 1 - h**2. Let k be n(-3). Suppose -x + r = 4*r - k, 3*x - 4*r = 133. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 27 = 57 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 0, 2.2, 772 in decreasing order.\nAnswer: 772, 45, 2.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3442981 is divided by 1270.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*z + 859 = -3321 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1378, -1570, -1884, -2314, -2854, -3498, -4240, -5074?\n\"Answer: a**3 - 67*a**2 + 2*a - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-57))\/((-2)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*4945553.\nAnswer: 1483665.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -8 + -3 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 455.99999954 + -456. What is f rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**2. Let m(j) be the first derivative of -3*j**2\/2 + 4*j + 406. What is o(m(p))?\nAnswer: -108*p**2 + 288*p - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11870 divided by -294.\nAnswer: 5935\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.187611ms?\nAnswer: 0.000187611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from xdxllxxdxxxd?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -73*h**2 + 12*h + 55. Let p(m) = -73*m**2 + 9*m + 56. Let l = -637 - -641. Let t(s) = l*p(s) - 3*q(s). Differentiate t(c) wrt c.\nAnswer: -146*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 + 5*s + 2. Let f be x(-5). Let z(o) = -14*o - 11. Let c(t) = -5*t - 4. Let y(q) = -8*c(q) + 3*z(q). Determine y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2)**2 + 3 + ((-2*sqrt(10)\/sqrt(5))**2 - (sqrt(72) - sqrt(8) - sqrt(8))).\nAnswer: -46*sqrt(2) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {y: 3, x: 4, q: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.53081 + -3.47005. Let j = a - -50. Round j to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 409*b*k**4 - 323*b*k**3 + 17*b*k + 5181*k wrt k.\nAnswer: 4908*b*k**2 - 1938*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036357 - 0.7709654?\nAnswer: -0.8073224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/10 + 2*p**3\/5 + 3*p**2\/5 + 2*p\/5 + 4. Factor m(d).\nAnswer: 2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-97 - (-18 + -17 + 35))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 2*c. Let l be j(-2). Let z = -3 + l. Let y = -415 - -411. Sort -5, y, z in descending order.\nAnswer: z, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 93198 - 38802. Let u be -4*(-4)\/4 + f. Let x = u + -231169\/14. Calculate the common denominator of x and -83\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282768 is divided by 94255.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417149939.\nAnswer: 3, 3319, 142327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9014 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12630271?\nAnswer: 53, 238307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8557.086 rounded to the nearest 10?\nAnswer: -8560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1804023 and 85.\nAnswer: 9020115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305805 and 3315135?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = -3*h - 2*w, -14 = -3*h + 4*w. Suppose h*l - 25 = -4*b + 3*l, -2*b + 15 = -l. Suppose -270 = -b*i + 3*k, -10 = 5*k - 3*k. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 5*q + q)*(0*q - 2*q + 0*q) + 7*q**2 - 3*q**2 - 3*q**2 - 2*q**2 - 210 - q - 156 + 51 in the form t + a*q + b*q**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -138 from -1.224.\nAnswer: 136.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -197*s - 1679 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4431 and 615487?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 60300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 2176 + 4301 - 6477.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222574 (base 12) to base 6.\nAnswer: 15351424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlblx. Give prob of sequence rbl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3812, 381.62, 1 in decreasing order.\nAnswer: 3812, 381.62, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 11 + -3 + -33 - -8 - 2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, -54, -253, -452, -651?\n\"Answer: -199*r + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 374 = -134. Let a be (r\/20)\/((-2)\/(-10)). Determine x, given that -2*x**2 + 3*x**3 - 22*x**4 + 7*x**5 + 8*x**3 + 6*x**a = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11350 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 - 5*m**2 + 8. Let p(o) = 2*o**2 + 49*o**3 - 48*o**3 + 0*o**2 - 7 + 4. Give -8*p(d) - 3*y(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-9)*v**22 assuming v is positive.\nAnswer: v**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (-1 + 2 - -9) + (11674 - 11692).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129059669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004227 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -371, -810, -1417?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/4))**30)**(-13) assuming u is positive.\nAnswer: u**(-975\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 58*v + 56*v + 27 + 82.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (73 - 22) + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 916 = -2*p + 6394, p - 4*h = 3675. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/27*27\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21102010021 - -2?\nAnswer: -21102010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.866017807 plus 0.17?\nAnswer: 439.036017807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 64*s**2 + 0 + 308*s - 5\/2*s**4 - 1\/60*s**6 + 16\/3*s**3 - 2\/5*s**5. Find g, given that y(g) = 0.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 112. Let l = -89 - u. Find the third derivative of l + 17*s**2 - 11*s**3 + 30*s**3 - 2 wrt s.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -0*n + 140. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 14.079?\nAnswer: 42.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 76?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47260 is divided by 5898.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) -0.2 (c) -37 (d) -11 (e) 0.1 (f) -0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63136 - 63135. Let j = 6 - 11. Which is the closest to l? (a) -4 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t + 78*t + x - 4 = 0, -20 = 3*t - 5*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**5\/5 + 7*q**4\/3 - 20*q**3\/3 - 32*q**2 + 4*q - 27. Factor o(h).\nAnswer: 4*(h - 2)*(h + 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 182, 142, 102, 62, 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 8*x**2 + x + 8. Let t be u(-8). Differentiate t*l - 13 - 3*l + 0*l + 2*l wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 6. Let z be j(-7). Let c be (-1696)\/(-96) + (z\/3 - -1). Solve -3*r = -7*r - 2*h + 14, -c = r - 4*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123817 (base 11) to base 12\nAnswer: 95040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -24 - 5*x**3 + 11 + 13 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((2\/(-120))\/((-507)\/4056))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:22 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 95*o - 5. Let n(w) = 378*w - 21. Determine 2*n(g) - 9*t(g).\nAnswer: -99*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csm when three letters picked without replacement from ddmcdscsss.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - z + 239996, -2*z + 448064 = 5*j - 751928. What is j rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12058817 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**7\/735 - o**6\/840 - 13*o**5\/420 - o**4\/28 + 9*o**2. Factor y(x).\nAnswer: x*(x - 3)*(x + 2)*(2*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**4 - 3*g**4 + 3*g**4)*(40 + 30 + 35)*(-2 - 3 + 3) to the form u*g**2 + l*g + c*g**4 + s + v*g**3 and give c.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 16*b + 166. Let j be i(-6). Sort -4, 1, -29, j, 0 in increasing order.\nAnswer: -29, -4, j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + sqrt(24)\/(sqrt(96)\/sqrt(8)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltqalgpt. Give prob of sequence qtlt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7763, 7909, 8059, 8213?\nAnswer: 8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 + 97750*l**3 + 10900960*l**2 + 304787840*l = 0 for l.\nAnswer: -19438, -56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**3 + 12*i**2 + 6*i + 7. Let y(o) = 3*o**3 + 11*o**2 + 7*o + 8. Let s(h) = -2*a(h) + 3*y(h). Let f be s(-8). Solve -w = -f*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11bb2b - -60?\nAnswer: 11bb8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-1))\/(18\/4). Let r(u) be the first derivative of -n*u**3 + 3*u - 2 - 3\/2*u**2. What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/5 - (-8)\/(-20). Suppose 0 = -p - p - k. Let j be 57\/(-117) - 1\/p. Is 0 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose 268 = 2*o + a*i, -o - 3*o + 3*i + 529 = 0. Calculate the highest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 - 132951645*p**2\/2 - 5892046636068675*p\/4.\nAnswer: -3*p*(p + 44317215)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n - 4*n + 22 - 37 to the form o*n + q and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 645389 or 645514?\nAnswer: 645389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 793*q**2. Let n(l) = -16*l**2 - 2*l + 2. Determine n(h(a)).\nAnswer: -10061584*a**4 - 1586*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11607*i**2 + 877*i + 1 wrt i.\nAnswer: -23214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12659.192 - -12607. Let w = u + -0.208. Let s = w + 54. Sort -5, s, -3\/2 in decreasing order.\nAnswer: s, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 3*u - u)*(-3 - 4 + 5) + (-3 + 9 - 2*u - 3)*(-16 + 12 - 11) to the form j + c*u and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -341.2829 and -0.4?\nAnswer: 340.8829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1816 and 12.\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 554587 and 1188?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0 (c) 0.01892955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163135 and 35?\nAnswer: 163135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*o + 525 = 0, 0 = 4*v + 4*o + 388 + 316. Let r = 101 + v. Do r and -72 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 2. Let k be o(0). Suppose -f + k*c = -72, 0 = -3*f + f - 3*c + 179. Suppose 14*m - 12*m = f. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 216 + 0*(3 + (-7)\/2). Suppose -i - q = -3*i. Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -31*n**2 + 5*n - 13. Let m(y) = -5*y**2 + y - 2. Let f(l) = 39*m(l) - 6*z(l). Find the second derivative of f(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w. Let h(s) be the first derivative of -1 - 14 - s**2 + 1. What is h(q(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -342.5 - -319. Let h = 23.1 + g. Which is the smallest value? (a) h (b) -1\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (177439\/(-108693) + (-12)\/13)*-9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2820, 2827, 2846, 2883, 2944?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 16, o - 5*q = -20. Determine d so that 1\/4*d**5 - d + o + 3\/4*d**3 - d**4 + d**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 924?\nAnswer: -1\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/2 + 51*k**2\/2 + 4059*k\/2 - 12555\/2 = 0?\nAnswer: -31, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -112*f - 59*f + 235*f - 72*f. Let m(h) be the third derivative of h**4 - 3*h**2. Determine m(r(y)).\nAnswer: -192*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630979?\nAnswer: 3, 13, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -47\/3, -0.3, -4, 10 in decreasing order.\nAnswer: 10, -0.3, -4, -7, -47\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 9*b + 2. Let m be z(-9). Solve -4*u = -2*k - 6, -5*k - 13 = -2*u - m*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 - ((-73)\/5 + 6). Let u(h) = k*h**2 - 13*h**2 + 7*h**2. Let a(g) = -8*g**2. What is a(u(z))?\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -269209668 divided by -546?\nAnswer: 493058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/55 and -21\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1240 and 8778270.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379 by -379.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42840 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 6*q - 96, -3*n - 69 = 14*q - 9*q + 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006081 to four decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*z**2 - 1308*z + 4024 wrt z?\nAnswer: -4*z - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -7.3.\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3)*2 + -3)**2.\nAnswer: -12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from {i: 5, w: 1, j: 5, h: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12 and -61\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let x(w) = 2102*w. Give f(x(c)).\nAnswer: 4418404*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102115835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Let j(x) = -2*x - 2. Suppose 20 = 4*n, -n + 9 = -2*b - 0*n. Let g be j(b). Is o(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**6\/4 - 9*h**5\/10 + 2*h**3 - 54. Determine y so that c(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 0.18\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k - 7 = -65*k - 5*o, -5*k = -o - 49 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.3 + -19. Suppose 0 = 4*v - 8*v - 20. Let q be ((-8)\/10)\/(18\/v). What is the second smallest value in w, 0, -2\/3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -14, 3, 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (4 + -1 - 0)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.37796 millilitres to litres.\nAnswer: 0.09937796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16727, -57511, -125485, -220649, -343003?\n\"Answer: -13595*l**2 + l - 3133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 15200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b**6)\/b)\/b)**(-26))**50)**(-23) assuming b is positive.\nAnswer: b**149500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 - 204. Suppose 5*z + v - 20 = 0, 3*z = 5*z - w*v - 20. Solve -u + 30 = -5*g - 2*u, z*g + 5 = 4*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7745, -7986, -8253, -8552, -8889, -9270, -9701, -10188?\nAnswer: -10737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58875352610 - 4?\nAnswer: -58875352614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 968096, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3227 from -1522.02.\nAnswer: 1704.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - 528\/9. Let f = s + 86. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + l**2 + l. Suppose 5*s + 10 = 8*z - 3*z, -3*z = 2*s - 16. Let d be p(s). Let a = d + 7. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + -4) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b + 27*b**2 + 1\/105*b**7 + 0 + 1\/15*b**6 + 0*b**4 + 13\/6*b**3 + 0*b**5. What is the first derivative of w(d) wrt d?\nAnswer: 8*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/14 - (-49)\/(-343)*(14 + -11).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 10. What is the greatest common divisor of 22 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 62. What is the remainder when u is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-2*-2 + -3 + -3 + (3*sqrt(114)*2)\/((3*sqrt(150) - sqrt(150) - sqrt(150)) + sqrt(150) - sqrt(6)).\nAnswer: -6 + 122*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*x + 500*x + 26726 - 3080 = 0 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - (3 + (6 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 2*z + 3. Let a be c(-3). What is the remainder when 99 is divided by 150\/a*12\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 85 = 91. Let x = 2 - 0. Find the second derivative of x*r - m*r**3 + r**3 - r wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 346700640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 94 - 54 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -441.6092?\nAnswer: -4857.7012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = m - 34, -5*m - q + 178 = 2*q. Let y be (2\/(-10))\/(811\/(-121650)). What is the highest common factor of y and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32211399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/26)\/(-118 - -124))\/((-6)\/8)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*l - 57 = 0, 0 = -4*j + 3*l + 11 - 58. Let r be (1 + -4)\/(-1) - j\/(-2). Which is the smallest value? (a) r (b) -1.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75136*q - 75127*q + 126 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 6)\/(1\/(-144)*3). Calculate the greatest common divisor of 72 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyxyjyj. Give prob of sequence yjx.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -29 * -0.104\nAnswer: 3.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/7)\/(9\/((-378)\/12)). Suppose 0 = -13*i + 11*i + m. Suppose 78 = -i*b + 82. Solve b*v - 5*v = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/32*-6)\/((-6)\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7305900 rounded to the nearest ten thousand?\nAnswer: -7310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 609\/105 + (-4)\/5. Differentiate 6 - 15*h**3 + 36*h**3 - a - 3 wrt h.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -51. Let g = -43 + w. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 1369*p**2 - 27680*p + 138900.\nAnswer: (p - 10)**2*(p + 1389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 27*c - 10. Let i be o(-13). Let a(t) = -t**3 + 3*t**2 + 2*t + 6. Calculate the lowest common multiple of 10 and a(i).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 255 - 209. Calculate the remainder when 134 is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -815, -817, -819, -821?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3488?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*n**2\/5 + 16*n.\nAnswer: 4*n*(13*n + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -0.35 (b) -1\/12 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 + -10?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1b79 (base 14) to base 13\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4*(4 + 0). Suppose -h*a + 5*f - 19 = -0, -f = -4*a + 3. Let x(k) = k**3 + 3*k**2 - 4*k + 3. What is the units digit of x(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*v - 431*v = 6187*v - 179273 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + -3 + 25 + 16\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(363)*3.\nAnswer: -4 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*q - 2*q**4 + 19*q**2 + 11*q**2 - 28*q**2 + 1 as r*q**2 + b*q + f + s*q**4 + k*q**3 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/52*4*9\/9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 20, -5, -12, -4, -43 in decreasing order.\nAnswer: 20, -3\/5, -4, -5, -12, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10760 greater than -10737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -493 - -495. Suppose -2*a - 6 = 2*r, r + 3 = -2. Let y be ((-1 - -1)\/(-1))\/(-3). Solve y = -o*u - a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 126. Let d be j + (3 - (-3 + 3)). What are the prime factors of (10\/(-15))\/((-4)\/d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25808 and 0.02222816758?\nAnswer: 25807.97777183242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.066 + 303.934. Let c = b + -300.78. Round c to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 43344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 0)\/1)\/(-1). Suppose g = -5*i + i + 36. Calculate the lowest common multiple of (6\/(-5))\/(0 - (-2)\/(-5)) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 10*g - 18205. Suppose -1657*n + g*n = -8402. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172706 at most 170894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**3\/3 + 31*o**2\/3 - 40*o\/3 + 4.\nAnswer: -(o - 2)**2*(7*o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-4) + 0)\/1. Let p(c) = 13*c**3 - 7*c**2 - 3*c. Let x(m) = -9*m**3 + 5*m**2 + 2*m. Calculate i*x(r) + 5*p(r).\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o + 85*o = 118720. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 5. Let v(f) = -201 + 9*f + 381 - 180. Give v(p(c)).\nAnswer: 27*c - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1517.7 + -1511.401. Let m = a - 6.91. Let f = m + 0.74. Round f to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360*q**2 - 43*q**2 + 19*q**2)*(2 - 2 + 2).\nAnswer: -768*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 163.9, -6.2, 2\/9, -0.2, 4 in descending order.\nAnswer: 163.9, 24, 4, 2\/9, -0.2, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-43)*p*p*p*p\/(p\/(p*p\/p**(2\/5)))*p)\/(p\/(p**31\/p)*p**(-2\/93)) assuming p is positive.\nAnswer: p**(-3896\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -63. Let c(l) = -6*l - 15. Let h be c(v). Let y = 1 - h. Sort 0, -1, 3, y in decreasing order.\nAnswer: 3, 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/6160 and -17\/3920?\nAnswer: 43120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(((-15)\/(-3))\/(-5)). Suppose 0 = 3*b + 9, 0 = -l*s + 3*s - b - 27. Are -86\/7 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 + -182. Suppose -k*w + 210 = -23*w. Solve -18 + 3\/2*t**3 - w*t**2 + 75\/2*t = 0 for t.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - -41 - (8 + -4 + -52).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 77*p**2 - p - 12. Let j(v) = 244*v**2 - v - 37. Let c(a) = -6*j(a) + 19*q(a). Suppose -35 = 4*x - 11. What is the tens digit of c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -48*z**2 - 10*z - 13. Let p(i) = 69*i**2 + 15*i + 19. Let v(h) = 5*p(h) + 7*y(h). Let n(l) = -8*l**2 - 4*l - 3. Determine 4*n(g) + 3*v(g).\nAnswer: -5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -59*k**2 - 461*k + 80. Give f(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -950532288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 3910537239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 + 68*c**3 - 45*c**2 - 11*c - 1660 wrt c.\nAnswer: -40*c**3 + 408*c - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x. Suppose 4*u + u = 20. Suppose 4*l + 5*k - 84 = x, -u*k - 4 = -l - k. Solve l = 4*z + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/10 + 397*v**4\/5 + 28469*v**3\/2 - 620010*v**2 = 0. What is v?\nAnswer: -415, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 2*b**2 + 6*b - 6. Let l be f(3). Suppose 5 = 2*i - 9. Calculate the highest common factor of l and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + 2*sqrt(6336) + sqrt(6336) - sqrt(6336))**2.\nAnswer: -384*sqrt(11) + 25355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 1190 - 170. What is the remainder when b is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-495)\/30*-12. Are 393 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56764 - -1?\nAnswer: 56765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 3:44 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -932 + 1811. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -0. Suppose -2*k = -4*m - 6200020, 4*k + z*m = 5691409 + 6708566. What is k rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -76. Let m be 570\/a*-1*(0 + 2). What is the second derivative of -15*i + 20*i - m*i + 37*i**5 wrt i?\nAnswer: 740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 2*n**2 + n - 2. Let d be p(-2). Let f(h) = -h**2 - 5*h - 2. Let i be f(d). Solve -5*g + c = -24, i*g = -0*g + 4*c + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 + 24*b**3 - 108*b**2 + 16*b + 144 = 0. Calculate b.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 15 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-7 - -2 - -2). Let f be (j - 6\/2) + 1. Let p = 3049 + -3048. Solve -5*h + 4*c = 2, -4*h + f*c = -c + p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*f - 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264401633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*4*-1 + sqrt(76))\/(-1*sqrt(100)))**2*5.\nAnswer: 171\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 925, 2101, 3275, 4447, 5617?\n\"Answer: -l**2 + 1179*l - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 1, 65, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95613366.\nAnswer: 2, 3, 15935561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 + -493. Let v be i\/10 - 2\/(-10). Is v at most -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 2 + q**3 - 7*q + 2*q + 7*q to r*q**2 + v + w*q**3 + h*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 + 1 - (9 - (-6 + 12))) + (-9 - -9)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Suppose -4*m = -2*r + 82, -4*r - r - m + 260 = c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 (base 10) in base 8?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7613?\nAnswer: 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s**2 - 12 - s**3 + 18*s**2 - 33*s**2)*(-2*s - 2*s + 5*s)*(-2*s + 4*s - 4*s).\nAnswer: 2*s**5 - 2*s**4 + 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59970700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, 72898441\/4, -3?\nAnswer: 72898441\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -494, -818, -1270, -1844, -2534, -3334?\nAnswer: -4238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + s. Let l be x(-1). Suppose 20 = 3*h + 2*h + m, l = -2*h + 2*m - 4. Differentiate 2*n - h + 0 + 1 wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = 37*z + 5*v + 15, 8 = 5*z + 2*v. Suppose 0 = 4*i - 24 + 8. Suppose i*x = -x + 15. Calculate the smallest common multiple of z and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 6*t**3 + 63.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199\/310 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184426*a + 184436*a - 15*a**2 + 0*a**2 to the form q*a + y*a**2 + k and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (5 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1408 and 1537280?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1409304700 divided by 281860940.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*g = -9*g + 99. Put 3\/16, -0.2, -0.3, g, 5 in ascending order.\nAnswer: -0.3, -0.2, 3\/16, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/6412 and -127\/728?\nAnswer: 166712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-63)*(30\/(-4))\/(-3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8990.08097429682 - 0.4?\nAnswer: -8990.48097429682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + (-3 - -2) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1338, -1342, -1348, -1356?\n\"Answer: -x**2 - x - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575133555.\nAnswer: 3, 5, 2803, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 3) in base 4?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(2\/(-28)). Suppose -5*m + 15 = 4*k - 15, 0 = -5*k - m + 48. Find the third derivative of -10*g - 3*g**2 + k*g - u*g**3 wrt g.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - 1) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxcxxxxcccc. Give prob of picking 2 x and 1 c.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(2\/11))*p*(p\/p**(-12))\/p*p assuming p is positive.\nAnswer: p**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52074 + 3*l + 52074 - l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 1 - 9 + 4*p**2 to l*p**2 + g*p + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*6*sqrt(700) + -3).\nAnswer: -960*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 5004?\nAnswer: 105084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h + 35 = 5*c, 5*h = -4*c + 33. Let m be (-1)\/(-3) + 1\/(-3). Suppose -u + m = -c. Are 1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 7*u - 5. Let l be v(2). Differentiate x + 5*x + 9*x - l*x + 6 with respect to x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + 0.3. Suppose -2*m = 10, -5*g = -m + 6*m + 15. Let n = -3519 + 3518.9. What is the nearest to 0.1 in n, a, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(2\/101)\/(v**(-2)*v\/(v**(-6)\/v))*((v**(-2\/5)*v)\/v**(-1))\/(v**(3\/2)*v\/(v*v*v**(-3)*v)) assuming v is positive.\nAnswer: v**(-6989\/1010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -20*l**3 + 5*l - 12. Let x be b(-3). Calculate the greatest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 7 = -2*u + w, -2*w - 2 = u. Let m = u - 3. Let f = -22\/7 + 67\/28. Sort 5, m, f in decreasing order.\nAnswer: 5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 0 - 2 + 41*q + 6*q.\nAnswer: 38*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 46*w**2 + 145*w - 694. Give z(43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6254 + -112433\/18. Let v = -9\/43 + 1301\/258. Calculate the common denominator of v and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -94. Suppose h = -37*x + 31*x. Solve x*p = 2*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79853, 0.1, 0.\nAnswer: 0, 0.1, 79853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -213 (c) -4\/5 (d) -1\/3 (e) 11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**3 + 50*w**2 + 44*w - 19. Let v(d) = -2*d**3 - 33*d**2 - 29*d + 13. Let s(x) = 5*t(x) + 8*v(x). Give s(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 3}. Give prob of sequence cm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.1 - 22.92. Let t = p + -0.18. Which is the closest to t? (a) -1\/11 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2 and 85\/326.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*o*x**3 - 498*i*o*x**2 - 133*i*x**3 - o*x**3 + 2*x**3 with respect to o.\nAnswer: i*x**3 - 498*i*x**2 - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -877*k**8\/336 + 497*k**4\/8 - 65*k**2. Find the second derivative of n(f) wrt f.\nAnswer: -17540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 15. Let t be a(9). Solve t = 5*n - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 19.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 713 - 635. What is the greatest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449138 is divided by 2780.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115321841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1617181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*k**4)*(4 - 3 - 2)*(6 - 4 + 13).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670664019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:36 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 33 = 13. Sort 298, n, -2, -4 in descending order.\nAnswer: 298, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - w**2 - w. Let s(c) = c**2 - c. Let f(h) = -p(h) + 5*s(h). Solve f(a) = 0 for a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130\/175 + 7\/(-49)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 10. Suppose j*g = 3271 - 1043. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 138.000067. Round l to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*322.\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (13 - (13 - 10)) + -10 - -49?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express v - v - 2*v**2 + (6*v - 3*v - 2*v)*((-1 + 1 - 2*v)*(-1 - 3 + 5) + 0*v + 3*v - 4*v - 5*v - 3*v + 3*v) as p*v**2 + g*v + w and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 134 = 2*p - 114, 5*c - 5*p = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 4*g**2 - 4*g - 1. Let k be w(5). Let f = 664 + k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(-4 + 14\/4). What is the nearest to v in 0.5, -1.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*f - 641*f = -56 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let y(i) be the second derivative of -125*i**4\/2 - 103*i - 3. Give p(y(b)).\nAnswer: 3000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1701643 = -15*f + 1042183 + 1108159. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {z: 1, q: 1, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2538 - 1159. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-159)\/(-9) - 3\/(-9). Find the common denominator of 31\/4 and (n\/88)\/(1\/(-4)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79.8 - -79.8354. Round w to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let z(o) = -5*o - 1. Let k(j) = 702 - 379 - 323 + 6*j. Determine c*k(x) + 3*z(x).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18*l**2. Let q(h) = -2*h. Calculate k(q(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 34 + (4 - -1). Suppose -28*x + h*x - 24 = 0. Let b be (7\/x + -1)*(-2)\/42. Is b at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254*l*r**2 + 54*l*r - 3*l*y**2 - 6*r**4 - 7*r**3*y**2 - 5*r*y**2 - 13 wrt r?\nAnswer: -508*l - 72*r**2 - 42*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 3*z + 1. Let n be j(-2). Let a = -11 - n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 0)*(-8 + 1 + 2)*(3*d - d + 0*d)*(2 - 5 + 2)*(2 + 1 - 4).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k - 1. Let y(p) = 5*p**3 + 4*p**2 - 8*p - 4. Determine -5*r(x) + y(x).\nAnswer: 5*x**3 - x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 23. Let d(n) = 7*n + 47. Let p(l) = -l**2 - 8*l - 2. Let a be p(-7). Let j(k) = a*u(k) + 3*d(k). What are the prime factors of j(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(((-100)\/(-105))\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45532403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let f(n) = -6*n - 126628. Give f(y(z)).\nAnswer: -6*z**2 - 126628","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 2, g: 2, t: 3, y: 1, h: 9}. Give prob of sequence shhr.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2. Let d(y) = 4*y**2 - 15309*y + 4. Determine d(w(v)).\nAnswer: 36*v**4 + 45927*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 5*w + 80, 3*w = -x + 16. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/47, 31\/1828?\nAnswer: 31\/1828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100130 - 32?\nAnswer: 100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 2, g: 4, w: 2}. What is prob of sequence ygu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -12, 30 in ascending order.\nAnswer: -12, -6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 9:02 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -16\/5*r + 40*r**5 + 0 - 24\/5*r**2 + 212\/5*r**3 + 102*r**4 = 0.\nAnswer: -2, -2\/5, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -4) + -4 + 4 + 4432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, k: 1}. What is prob of picking 2 g?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2906*b**3*w**3 - 16*b**3*w - 19*b**2*w + 2*b*w**2 - 497*b*w + 2*b + 232*w**3 wrt b?\nAnswer: -17436*b*w**3 - 96*b*w - 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5496, -5489, -5460, -5397, -5288, -5121, -4884?\n\"Answer: 2*v**3 - v**2 - 4*v - 5493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, 28, 118, 296, 592?\n\"Answer: 5*h**3 - h**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -1726*g**2\/9 - 8632*g\/9 - 10\/9 = 0.\nAnswer: -5, -1\/863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1995 - -2009. Let d(j) = j - 1. Let p(n) = 2*n - 4. Let l(g) = -2*d(g) - p(g). What is the remainder when l(-5) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3497280 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p + 50. Suppose 17 = 2*z - b, 0 = -2*z + 2*b - 4 + 20. Suppose -8*q + z*q - 6 = 0. Solve 3*y - 13 = -4*g, -5*g + q*y - p = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1395 and 80.\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3\/7, -78.\nAnswer: -78, 3\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.012 and 0.902?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:31 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4560*d + 109442. Let h be n(-24). Suppose 0 = -2*q - 5*t + 19, -12 = -2*q - t + 3. Solve -3*k + 2*r = -h*k - 7, 5*r + q = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 1322, 1990, 2658?\nAnswer: 3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/60 + 4*x**5\/15 - 58*x**2. Factor i(o).\nAnswer: -2*o**2*(o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1150 - -5335?\nAnswer: 10525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9310 and 68826870?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 816547968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15)\/((-20)\/125)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 460\/(-575)*(-10)\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l + 0*l + (9*l - 21*l + 8*l)*(-5 + 4 + 3) + 3*l - 3*l + l)*(-l**2 + 0*l**2 + 3*l**2).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 7*b**2 - 14*b + 66. Let w be t(8). Suppose 16803 = 21*f - w*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 - -166. Suppose -40 = -s*c + 20. What is the remainder when 127 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, 17, 2\/2639, -1 in descending order.\nAnswer: 17, 0.4, 2\/2639, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 4*g**2 - 5*g - 2. Let s be v(-3). What is the third biggest value in 0.4, s, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544102*b**3*z**2 + 1533204*b**2*z**2 wrt b.\nAnswer: 3264612*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677819 divided by 8?\nAnswer: -1677819\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - l**4 + 0*l**4 - 10*l - l**2 + 10*l as t*l**4 + r*l**3 + d*l**2 + p + m*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 5. Let w be g(-5). Let h be (-4 - 1)\/((-5)\/w). Let i be (-3 + (-35)\/(-15))\/(h\/36). Do i and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Let j = -16.8 + 1.8. Let f = j - -11. Which is the third biggest value? (a) f (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**32\/(k\/(k\/(k*k**(1\/62)*k))))\/(k\/(k\/(k\/k**(-31)))*k\/k**(4\/27)))**21 assuming k is positive.\nAnswer: k**(-33607\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**4\/24 - 3*w**3\/2 + 2*w**2. Let z be x(5). Put z, 5, 0 in decreasing order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.476213 - 9.459. Round q to 4 decimal places.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -318*k + 230. Let c be a(-4). Suppose c = -8*d + 12902. What are the prime factors of d?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - 5*m**2 + 3*m**2 - m**2 - 2*m**2 + 2*m**2 - 4 + m**2 + 4 + (-3*m - 3*m + 5*m)*(2 + 2*m - 2) + (-2*m + 0 + 0)*(-716*m + 124*m - 27*m).\nAnswer: 1234*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81867436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44.94473 decades?\nAnswer: 4.494473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(-3 - 1349*v + 10 + 2613*v - 897*v) to a + h*v and give h.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) -0.62 (c) -1\/2 (d) -2\/131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99648715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16230420\/126 + ((-16)\/(-14) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*i - 5*c, i - 629*c = -628*c - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-8)*-30 + 9\/(-12). Let s be -1 - (-7*2\/k)\/1. Let x = 7\/12 + 1\/12. Which is the nearest to x? (a) 1 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)*t*t)**(14\/3)*t**(-6\/7)\/(t**(-1\/3)\/t) assuming t is positive.\nAnswer: t**(559\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -112?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12194 and 75?\nAnswer: -914550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-1*sqrt(484))*1 - ((sqrt(24)\/sqrt(4))\/sqrt(3) + sqrt(162) + 1))**2 + -3.\nAnswer: 222*sqrt(2)\/11 + 24400\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -87505640\nAnswer: -6125394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/92 and -123\/26388860?\nAnswer: 606943780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -1903*g**8\/56 - g**4\/3 - 77*g**3\/6 - 1446*g. What is the third derivative of f(u) wrt u?\nAnswer: -228360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {x: 1, q: 3, r: 3, d: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*y - 4*y + 440 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r, 0 = -3*a - 12*r + 17*r + 118. What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))**(-1\/30)*g**(-5\/3)\/((g**0\/g)\/g) assuming g is positive.\nAnswer: g**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321 - -342. What is the greatest common factor of z and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80192)\/(-1064) - 636\/(-1007).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -0*i - i. Let s(m) = -5*m**3 - 6*m**2 - 6. Let k(q) = -14*q**3 - 17*q**2 - 17. Calculate i*s(d) - 6*k(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 8*f + 2*f - 95 = 0, 7*a - 1 = 8*a + 4*f for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304515*j**6 + 51*j**2 + 4*j - 49 wrt j?\nAnswer: -36541800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 648453268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -4, 1, 18\/11, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18*(-33)\/(-44). What is the nearest to 2\/7 in f, -0.5, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -245 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172810261 divided by 4523.\nAnswer: -38207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/2)\/(7\/4). Suppose 0*o + 12 = -4*o, 2866 = w*m + 4*o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120083 - 383?\nAnswer: -382.879917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2510*g - 2147*g**3 + 2129*g**3 + 2510*g.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 617513?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 divided by 5?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*c*c\/(c*c\/(c*c**19\/c)*c)*c*c*c*(c*c**23)\/c**(1\/46) assuming c is positive.\nAnswer: c**(1885\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**3 - 2841*t + 5919 wrt t?\nAnswer: 6*t**2 - 2841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 - 2\/2. Let j = 4 + f. Let m(v) = 6*v + v**2 - v + j + 0. Calculate m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*v + 9. Let y = v - 2. Is (127\/y)\/(-1)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154\/265 - -1\/53. Suppose -41*g - 40 = -33*g. Let r = g - -4\/3. Calculate the common denominator of r and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 3*q**3 + 2*q**4 + 9*q**4 - q**4 + 3*q**4 - 3*q**4 + (2*q + 0*q - 3*q)*(0*q**3 + 6*q**3 - 4*q**3) + 15*q**4 - 8 + 8.\nAnswer: 23*q**4 - 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 12. Let l be w(7). Let k be (0 + (-20)\/(-8))*(-8)\/(-10). Solve -5*s = -5, k*o = 7*o - l*s + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -37, -114, -239, -424, -681?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 313474*b - 313473.\nAnswer: -(b + 1)*(b + 313473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u + 613266 + 3*u**3 - 613266.\nAnswer: 3*u**3 - 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4870055 is divided by 360.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/7))**(2\/7))**(-2\/33))**49 assuming j is positive.\nAnswer: j**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18369 plus -0.4?\nAnswer: 18368.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1496916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -4176 and -3304 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000010110010000100 (base 2) in base 13?\nAnswer: -127428c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 divided by 2?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d - 35. Let b = d - -13. Let g = b - -4. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2*q**2 - 2*q - 13. Let k(f) = f**2 - 4*f + 4. Let b be k(3). Let x be n(b). Solve 0 = x*v + 2*z, 5*z - 28 = v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -213 (b) -13\/6 (c) 1 (d) 255\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 429851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**3 + 2 - 2)*(82 + 202*c - 88 - 377*c) as s*c + b*c**3 + o + k*c**4 + z*c**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 + 346\/(-4). Let s = q - -104. Solve -h + 9*h - s = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 = 3*l + i, 3*i + 33 = 4*l. Calculate the greatest common factor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4291 and -31\/41303940?\nAnswer: 289127580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*w - 16, -s - 4*w + 4 = -0. Suppose 3*h - 308 = -s*p, 91 - 399 = -4*p + 2*h. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 15. Let o(m) = 2*m + 10. Let f(k) = 5*b(k) + 8*o(k). Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 94*g - 11553. Calculate the lowest common multiple of ((-18)\/(-4)*-4)\/(-1) and x(123).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.43 - -14.43. Sort 6, -17, b in increasing order.\nAnswer: -17, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/110 and -137\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2332112 (base 4) to base 14.\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 - 1022?\nAnswer: -1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 160 - 35 = -128 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*x + 2, -3*x + 4*k - 26 = -0*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - 3.06. Let z = 1.9 + -2. Let t(l) = 26*l - 365. Let c be t(14). What is the nearest to c in k, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -22\/5, -1\/4, 1\/20.\nAnswer: -22\/5, -1\/4, -1\/7, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnbabbbzbzzakbuuk. What is prob of picking 1 b and 1 u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 49*d**3 - 5.\nAnswer: 49*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 9*k - 8*k + 125, 2*a - 3*k = 63. Let m(b) = 24*b - 65*b + a*b + 5 + 19*b. Calculate m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 10. Suppose 6*z + 21 = m + z, 2*m = -3*z - 10. Suppose -5*d = -25, 3*v - m - 30 = -2*d. Let g(k) = 2*k + 7. What is v*g(x) + 5*f(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131290*n**3 + n**2 + 4*n + 16457 wrt n.\nAnswer: -787740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213 and 10.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Suppose 0 = -2*t - t + i. Differentiate t + h + 5*h - 3*h with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 + 168754 - 2*z**2 - 2*z + z**2 - 168755 - 3*z**3 in the form j + d*z + w*z**3 + s*z**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 1330*c - 2680.\nAnswer: 5*(c - 268)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (9183\/(-15) + 4\/(-5)). Suppose 7*q - 231 - w = 0. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128481106 to the nearest integer?\nAnswer: 11335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1183*c - 19. Calculate d(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 16*z - 24. Suppose -g + z*i + 50 = 0, 2*g = -3*i + 7*i + 110. Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) -5 (d) -4 (e) 1.38 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 2113.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633842 less than 5633878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 131*j - 12*j. Which is smaller: 58\/277 or j?\nAnswer: 58\/277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(-k**3 - k + k) - 2*k**3 - 7*k**3 - 6*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 6:15 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + f**3 - 4*f**2 + 6*f**2 - 6*f**2 + f**3 + (2*f + 0*f - 4*f)*(3*f**2 + 4 - 4) in the form b*f + u*f**3 + r*f**2 + i and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349 - 351. Which is the smallest value? (a) -3 (b) -41 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 330, 351, 388, 447, 534, 655, 816?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i + 3. Let y(n) = -11*n - 6. Suppose 5*o + 0*r + 39 = r, -2*o + 4*r - 30 = 0. Calculate o*a(t) - 3*y(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4\/11))\/s**11*(s*s**(-10\/3))\/(s\/(s**(-1)*s)) assuming s is positive.\nAnswer: s**(-428\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*b + 1920 - 6222 + 2154 + 2148.\nAnswer: 126*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4*(-5)\/30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o. Let z(x) = x**3 - x**2 + x. Let n be z(0). Suppose -8*y + 7 + 1 = n. Let l(u) = -u - 8*u - 2*u**2 - y - 5*u**2. Give 6*f(d) - l(d).\nAnswer: d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = 2*u - h, 5*u - 6 = -3*h. Suppose u*y - 3*y + 18 = g, -24 = -4*y - 3*g. Put 4, 2, y in descending order.\nAnswer: y, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from cbcbbbcjjbcccbbbjcb.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:15 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 33*o + 4. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 68. Let l be m(-17). Let y = l - -86. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 16. Let p = -26 - -36. Suppose 14 + p = 3*d. Let j be n(d). Solve j = 2*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42 + 5512\/(-182))*(-35)\/10\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99560.\nAnswer: 2, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 424856662355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 9*g + 24*g - 4*g - 5*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1 - ((-12)\/(-3))\/4). Let r(j) = j**3 + 8*j**2 + 7*j + 4. Let i be r(-7). Let s = k + i. Solve 3*u = 2*n - 4, -3*n = -s*n + 4*u + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r**4 + 14*r**4 + 0 + 3*r**2 + 0 - r + r**3 to q*r**3 + f*r**2 + l*r**4 + k + w*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = p + 85 + 21, 2*v + 4*p - 60 = 0. Calculate the remainder when 2968 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 23*a - 46832. Let d = a + -1301. List the prime factors of d.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 6. Let p(c) = c + 2. Let b = -13 - -6. Let m be p(b). Is v(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v - 2. Let r(s) = s - 1. Let k(y) = p(y) - 5*r(y). Give k(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 42*i + 504. Let c be m(-12). Which is greater: c or -2\/537?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 - 248*y\/13 - 504\/13.\nAnswer: 2*(y - 126)*(y + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 less than 1367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(-2 + 2 + sqrt(99)) + -2)**2.\nAnswer: 90*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 147. Let p(y) = -y**2 + 30*y - 1. Let h be p(13). Calculate the common denominator of ((-2)\/(-3))\/(h\/270) and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15829, -31665, -47501, -63337?\n\"Answer: -15836*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oappzyq. What is prob of sequence zoy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002434944 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/((-6)\/54*-1). Let r(p) be the first derivative of 2\/5*p**5 + 0*p - 4\/3*p**4 + 4 + 8\/9*p**l + 0*p**2. Factor r(q).\nAnswer: 2*q**2*(q - 2)*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*138870\nAnswer: 41661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hkkkkhhk.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 401628559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12 - (3 - (-12 + 4396\/294)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -2*j + 3*g + 35, -86 = 3*j + 5*g. Suppose 26*p - 30*p + 216 = 0. Let s = j + p. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 19. Let q be n(3). Let t = 18 - 18.25. Let u = t - -0.55. Which is the fourth smallest value? (a) -0.3 (b) u (c) q (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -10 + 6 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7*v - 39. Let x = 14 - v. Let k(m) = 3*m + 18. Let b be k(-4). Sort x, b, 1\/4 in ascending order.\nAnswer: 1\/4, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1002067 + 197933. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjmmmmjoo. What is prob of picking 1 j and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1900) - (sqrt(76) + -5))*-4.\nAnswer: -112*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 26, 64, 118, 188, 274?\n\"Answer: 8*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d + 5*d - 9*d + d - 691*d**3 + 24 + 5*d wrt d.\nAnswer: -4146*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24104)\/6 + 2\/6. Let d = o + 44216\/11. Calculate the common denominator of d and -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 - -626. List the prime factors of o.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -9052?\nAnswer: 9050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 94*y + 14 + (-3*y + 5*y - y)*(-4 + 2 + 3) in the form i*y + t and give i.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 17. Let f be 1\/3 - 7\/k. Let o = -2 + 3. What is the second smallest value in 1\/5, o, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 21) + -58 - (1 + -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v - 212*v - 1480*v - 137*v - 240*v.\nAnswer: -2003*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 46*r + 48. Let p be w(-47). Which is the closest to p? (a) -0.1 (b) 0.4 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573?\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 1 + 2*k**3 + 3*k - 6*k**3. Let r = -25 + 68. What is the remainder when r is divided by c(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 5:59 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 7*q - 8. Let j be h(5). Suppose j*r + 0*r = -3*r. Solve r = 3*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 5*c**3\/6 + 7*c**2 + 4*c. Let n be y(-3). Find the common denominator of -41\/4 and n*4\/(-2) - (-845)\/(-39).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6.1. Let v = -116470.09948 + 116468. Let u = v + z. What is u rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbpfxxxybdbyybpdd. Give prob of picking 1 p and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -28*x**2 + 126*x - 15. Calculate the remainder when 61 is divided by l(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59933.\nAnswer: 73, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -5*n + o - 26, n + o - 8 = 0. Put n, 4, 1 in descending order.\nAnswer: n, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-5581*q - 6011*q + 987*q).\nAnswer: 10605*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61662 and 9.\nAnswer: 184986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2345.4852 + 2345. Let z = -0.0156 + k. Let h = 0.5 + z. What is h rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48971200?\nAnswer: 2, 5, 127, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*v - 57, 5*d = -5*v + 31 + 59. Let h(b) = -2*b - 2. Let k be h(-2). Solve -7 + v = -k*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 3. Let q(x) = 0*x**3 + 10*x**2 - 4 + x - 3*x**2 - x**3. Suppose -3*m + 7*m = 28. Let z be q(m). Calculate k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/3 - 54971122*h\/3 = 0.\nAnswer: -27485561, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -33, 3, 75, -1, 0 in decreasing order.\nAnswer: 75, 8, 3, 0, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27622*r**3*y - 2*r**3 + 32*r**2*s + 114*r**2 + 6*s*y wrt y?\nAnswer: 27622*r**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 11. Let d be p(6). Calculate the highest common divisor of 93 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2 + 4030*v + 28255. Calculate u(-7).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 7 + (2 + 1 + 2)*(-2 - 4 + 3))*(4*a - 2*a - 5*a + 0*a + a + 0*a + (1 + 4 - 3)*(-3*a + 5*a + 0*a) - a - a + 0*a - 2*a - 1 + 1 - 3*a + 4*a + 12*a).\nAnswer: -187*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-15))\/2)\/((-680)\/3400)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31777*k + 976 - 208*k**3 + 35*k**3 + 31777*k - 978.\nAnswer: -173*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 4. Let h(n) = 2*n - 3 + n**2 + 4*n - 2*n**2. What is the units digit of h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10053 - 3353 - 3353 - 3347 + 653*d to x + q*d and give q.\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:20 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 26. Let x be r\/(-2) + (-23)\/(-2). Solve -c + 2*c + 3*j = -x, 3*j + 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2627115, -5254235, -7881355, -10508475, -13135595, -15762715?\nAnswer: -18389835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99 less than -0.13?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-2)\/4*-8. What is the least common multiple of (-135)\/20*16\/o and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 - 2*q - 1. What is d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqqxkxqx. Give prob of picking 3 q and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 + -2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 6. Give w(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 2*t**2 + 5. Suppose 5*m + 0*m = 65. Calculate the remainder when n(3) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 4*y - 5. Let l be r(4). Suppose 3*a - 47 = -5*v, -61 = -3*a + 2*v - 0*v. Let z = a + l. What is the highest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23534 + -23528. What is the least common multiple of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19128112 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 11*v + 16. Let i be h(-12). Suppose 4*j - 22 = o + 21, -5*j + i*o + 51 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-3 + 4)*-2707*1. Let a be (-2 - (-155)\/(-2))*20. Let t = a - z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z**2 - 3*z - 3. Let c be g(3). Let r = 70 + c. Suppose 6*d - r = d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*b**2*k*l + 2*b**2*k + b*k*l + 5*k*l + k + 1 wrt b.\nAnswer: -56*k*l + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.319 and -18.\nAnswer: 293.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33461 + -33429.954. Let g = d + -31. Let x = -0.156 + g. Which is the third smallest value? (a) 0.1 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33885469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x = 211*x - 46*x - 55*x - 252 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*l - 4563 + 16263. Calculate the least common multiple of l and 30.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 14 - -6)*9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220775786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13682750 a multiple of 2224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**4 + 2818130*c**3 + 92956932*c**2 wrt c?\nAnswer: -216*c + 16908780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344784, 689918, 1035052?\nAnswer: 1380186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9*a - 3*w = -11, w + 7 = 4*a. Solve -f = 5*s - 23, f = -4*s + a*f + 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.4. Let a = -5.1908 - -1.1908. Put 13, 1\/2, f, a in descending order.\nAnswer: 13, 1\/2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3786 - 3458. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10601071, 0.5, 0 in descending order.\nAnswer: 0.5, 0, -10601071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.23 + -0.55. Let g = o - 0.18. Which is the fourth biggest value? (a) -1 (b) g (c) -0.4 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6890460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/30*20\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49675.\nAnswer: 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 7 + 5*h**3 + 1)*(-2 + 1 + 4) as d*h + c*h**2 + a + s*h**3 and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10068 is divided by 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -804 (base 9) to base 5.\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 201324399 to the power of 1\/2, to the nearest integer?\nAnswer: 14189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 + 12*k**4 + 18*k**3 - 8*k**2 - 24*k.\nAnswer: 2*k*(k - 1)*(k + 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ttttsstttt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-44)*(r**1\/r)**(-38\/7) assuming r is positive.\nAnswer: r**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26\/79, -0.1, -0.037, -3, -4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68266397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5*1)\/(20\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -15. What is the greatest common divisor of r and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2*(-45)\/(-12) + -1 - -7). Put -3, o, 77 in decreasing order.\nAnswer: 77, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 42 = -5*f. Suppose -f = 2*a - 4*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 682*y + 57 - 243 - 540*y + 7*y**2.\nAnswer: 5*y**2 - 1222*y - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 96 = 4*v. Let c = -20 + v. Does 12 divide 23 - (c - (2 - 5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362 (base 14) to base 12\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5851*s**3 - 6*s**2 + 637*s wrt s.\nAnswer: -35106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:31 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmmpmmmpmmmmmmmm. What is prob of sequence mm?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/525 and -37\/9.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53538 - 53538. Factor -2\/3*q**3 + 0*q + 0*q**2 + q**4 - 1\/3*q**5 + h.\nAnswer: -q**3*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154\/5 + -1361\/45. Let t(z) = z**3 - 13*z**2 - 3*z - 115. Find the common denominator of j and t(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2147358 and -61\/93.\nAnswer: 66568098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509.8 + -571. Let r = q - -32.3. Let i = r + 29. Which is smaller: -0.12 or i?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) 1\/5 (b) 14 (c) 2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 4*q - 3. Let u be r(-2). Let b be u*(-267 - (2 - 2)). Let l = -17 - b. What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5822659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -632 + 631. Let l(t) = -t**2 - 1. Let i(j) be the first derivative of -4*j**3\/3 + j**2 - 4*j - 8. Give m*i(x) + 2*l(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/2 + 22938297*m - 526165469260209\/2 = 0.\nAnswer: 22938297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-2) - -4)\/(15\/(-40)). Factor -8\/3*y**2 - 6*y**p + 2\/3 + 5\/3*y**5 - y + 22\/3*y**3.\nAnswer: (y - 1)**4*(5*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*m - 889*m**2 - 163*m**3 - 4*m**5 - 107*m**3 + 43*m - m**5 wrt m?\nAnswer: -300*m**2 - 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 59 = -49 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 40. Let i be g(-15). Suppose 600 = 20*l - i*l. Let m = -6 + 13. What is the remainder when l is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34736\/227 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + 5. Let a = -30 - -31. Let c(w) = -w - 5. Let j be c(-6). Let b(t) = -2*t - t + 0*t + 4*t + j. What is a*m(h) - 6*b(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1957878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6*(-9)\/6. Solve 2*z + 3 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173590 is divided by 19239?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1254, -1284, -1314, -1344, -1374?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-2\/15)*c)*c*c**(-7))\/((c**(-3)*c)\/c**(-14)))**(-49) assuming c is positive.\nAnswer: c**(13132\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.03 (b) -0.2 (c) 2.3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21990281 by 12.\nAnswer: 21990281\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 76864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1234 + 2234. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114393 and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 263379358 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -3*g**5\/40 + 7*g**3\/6 - g**2. Let i(a) be the first derivative of v(a). Let w(f) = 2*f**2. Determine w(i(n)).\nAnswer: 162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + (-10)\/(-4). Suppose 3*z - 2*t - 4 = w*t, 5*z - 12 = 4*t. Let m be (4 + (-10)\/4)*((-520)\/39)\/4. Sort -1, z, 2, m.\nAnswer: m, -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*u - u + 14, 5*v - 5*u = -20. Let w(g) = -7*g - 7. Let z be ((-2)\/(-8))\/(421\/1684). Let s(n) = -1. Determine v*s(r) + z*w(r).\nAnswer: -7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 139285*m - 150. Suppose -85 = 30*i + 215. Let j be n(i). What is j rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 300780000 to the nearest 1000000.\nAnswer: 301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/7*7\/(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {t: 15, d: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/33)\/(-2 - 24\/(-9)). Let u(p) = 80*p**2 - 5*p - 1. Let m be u(d). Let w = -70 + m. Calculate the lowest common multiple of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 543617.1 milligrams?\nAnswer: 543617100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -25.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6240971 rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 21500*u + 128971. Calculate h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1143, 787, 431?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/10 - (-284)\/(-355). Let c(i) = -3*i - 5. Let n = -4 - 5. Let z(u) = -u - 2. Determine m*c(g) + n*z(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i**2. Let s(z) = 373*z**2 - 12*z + 23. Let f(b) = -375*b**2 + 14*b - 27. Let d(g) = 6*f(g) + 7*s(g). Calculate d(w(x)).\nAnswer: 43681*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/388645 + -2196621526\/2720515. Let c = 814 + n. Which is smaller: c or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -k. Suppose 0 = -k*q + 9 - 3. Suppose -q*o + 126 = -105. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3. Let b(y) = y**2 + 1. Let f(v) = -3*b(v) + o(v). Let c(i) be the first derivative of i**2 + 6. Give f(c(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -71652, -143763, -215874?\n\"Answer: -72111*v + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 3*t**2 - 5*t**2)*(-4*t + 2*t + 8*t) - 2*t**3 + 2*t**3 - 2*t**3 + 0*t**3 + t**3 - 17 + 15.\nAnswer: -19*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(272) - sqrt(272) - sqrt(272))*5)**2 - sqrt(272) - (4*(sqrt(17) + sqrt(17)*-1) + sqrt(68)\/sqrt(4)*1).\nAnswer: 195*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1522295 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -7*x - 156. Let m = x + 16. Suppose 28 = m*g - 3*t - 2, -4*g = t - 60. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2278 and 2\/10251.\nAnswer: 20502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -v - 3*v + w, 0 = -3*w - 3. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69738*x**3 + 4*x**2 - 4*x**2.\nAnswer: -69738*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64896777.\nAnswer: 3, 11, 23, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*a**4*m + 1384685*a**2*m**3 - 2*m**3 - 16926*m**2 + 1782 wrt a.\nAnswer: -24*a**3*m + 2769370*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 15*l**2 + 13*l + 16. Let w be y(14). Suppose -b + 80 = w*o, 160 = 4*o - 0*b + 3*b. What is o rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032335 rounded to 6 decimal places?\nAnswer: 0.000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177.4718 and -18.1.\nAnswer: 3212.23958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -17. Solve -2*j - 2*j = -x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2756, -5468, -8180, -10892, -13604, -16316?\nAnswer: -19028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + 1.39. Let c = h - 0.1. Let p = 0.21 - -0.09. What is the third biggest value in p, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 412144300?\nAnswer: -412144252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5053\/8 + -632. Which is the nearest to 6? (a) 4\/7 (b) -12 (c) -0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, -136, -147, -142, -115?\n\"Answer: k**3 - k**2 - 25*k - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 580 + -276. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -526*t**2 + 28404. Let c(z) = 6. Give -9468*c(n) + 2*v(n).\nAnswer: -1052*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 19 = 44. Let h = j + 5. Calculate the smallest common multiple of h and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 85382, 4, -4 in increasing order.\nAnswer: -82, -4, 4, 85382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013504282 rounded to seven decimal places?\nAnswer: 0.0013504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*y**4 - 23*y**3 + 295*y - 2.\nAnswer: 84*y**2 - 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21115 + 21114.99989363. Round i to six dps.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 6*a**5 - 9 + (-a**2 + a**2 + a**2)*(-5*a**3 - 20*a**2 + 20*a**2).\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, c: 2, i: 9, f: 1}. Give prob of picking 2 l.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + k + 1, -2*c = 4*k - 40 + 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101 and 3.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = v - 9, 3*v - i - 15 = 0. Suppose 1 = v*j - 24. Let t = 6 - 4. Solve -2 = l - x, l + j*x + t = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 4 - 4)*(b**3 + 4*b**3 - 6*b**3) + (2*b - 4*b + 7*b)*(-274*b + 274*b + 27*b**4).\nAnswer: 137*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-10))\/(30\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 + 8*a**3\/3 + 11*a**2\/2 - 12*a - 3641. Calculate p(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -33*g - 6. Let v be b(-5). Let h be (-2)\/(3 - v\/51). Let o(r) = -3 + 4 + 6*r**2 - h*r**2. Determine o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o. Let k(w) = 3*w - 20. Calculate k(z(m)).\nAnswer: -18*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 645338543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 31) + (4 - 2) + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11840281, 23680464, 35520645, 47360824, 59201001, 71041176?\nAnswer: 82881349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**11\/v*v)**9)**(-1\/84) assuming v is positive.\nAnswer: v**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 60*y + 120. Calculate the smallest common multiple of s(-2) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9*(-9)\/12. Let t = -13 + 12.93. Let y = -0.33 + t. Sort y, c, -3 in increasing order.\nAnswer: -3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 1. Let w = -1 + u. Let x = 20 - w. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 11*c - 60. Let v be x(21). Suppose v = -2*d + 14287. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -3*v**8\/560 + 19*v**4\/24 - 11*v**3\/3 + v**2. Let u(t) be the first derivative of z(t). Differentiate u(c) with respect to c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3671481 divided by -3671481\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548649599 is divided by 853?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245858 - -5164150\/21. Let g = -515\/7 + d. What is the common denominator of -3\/17 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x + 28. Calculate the remainder when y(-13) is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 3*x - 21322. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/31 (b) -5\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 441 = 41*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750089?\nAnswer: 827, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*o - 18 = 305*o. Let q(s) = s**2 + 6*s + 6. Determine q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23630764, -23630763, -23630762, -23630761, -23630760?\n\"Answer: k - 23630765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 171 + -108 - 108?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1362*m**3 - 47 - 268*m**3 + 14*m + 18 - 6034*m**3 - 3*m**2 - 19 wrt m.\nAnswer: -45984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 13.22?\nAnswer: -26.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*s + 35, 3*s + 7*k + 31 = 3*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 32*p\/5 - 72\/5.\nAnswer: 2*(p - 2)*(p + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-37)*y*(y*(y**(-5\/6)\/y)\/y)\/y)**(7\/10))**(-5\/8) assuming y is positive.\nAnswer: y**(1589\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*f - 57 = -51, 5*y - f = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/465 and 29\/209901.\nAnswer: 1049505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 - 99128*z - 614147524 = 0. What is z?\nAnswer: -12391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 5*b - 2. Let j(a) = 10*a**2 + 26*a + 11. Let c be 1*8*75\/20. Let w = c + -28. Calculate w*j(m) + 11*z(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5869\/25 = 236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 515.6369 to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12122 + 3?\nAnswer: 12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 3 (c) -6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34993716 or -34993717?\nAnswer: -34993717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/261 and -1\/27?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70408002, 70407990, 70407966, 70407924, 70407858?\nAnswer: 70407762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11407 (base 8) in base 2?\nAnswer: 1001100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 + 3*w + 1. Let q be h(-6). Suppose -4*k + 5*m + 9 = -38, 0 = -k + 2*m + 11. What is the greatest common divisor of q and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492442 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: b\"What is the oth term of 31204, 62192, 93180, 124168?\n\"Answer: 30988*o + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 - 5*s + 3*s**3 + 0*s**2 + 5*s + 2*s**2 - 2 in the form m*s**4 + o + c*s + f*s**3 + n*s**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 - 5.1. Let o = m - -10. Let d = -13 - -12.9. Which is the closest to d? (a) 3 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*f + d**2*z**2 - 20*d**2 - d*f*z**2 - 6*d*f*z + 451*d*f + 330811*f*z**3 + 2*f wrt z.\nAnswer: 2*d**2 - 2*d*f + 1984866*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 1152 (c) -0.241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 10304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10829975 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 518107 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3823082 to the nearest one thousand.\nAnswer: -3823000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487669?\nAnswer: 3, 829223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 + 0*r**2 + 0*r**2 + 97*r**2 - 97*r**2 - 7*r**4 + (6 + 1 + 0)*(-5*r**4 + 4*r**4 + 0*r**4).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + -1 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 19 = 3*o, -13*b + 8*b - 4 = 2*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 267269 = -266759 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20818 = -7*p + 21*p. What are the prime factors of p?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(5\/9)\/k*k*k)\/(k**18\/k) assuming k is positive.\nAnswer: k**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 1, h: 1, t: 1, f: 1, u: 4}. What is prob of picking 2 s and 2 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 3, 0.3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6616 and 76.\nAnswer: 125704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -245301*p + 231. Let h(y) = -2133*y + 2. Let t(g) = -231*h(g) + 2*x(g). Let m(j) = j**2. Give m(t(o)).\nAnswer: 4498641*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -95*j**2 + 49908*j - 49906. What is s(1)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - k + 0)*(47*k - 2*k + 12*k) + (0*k - 4*k + 2*k)*(-3*k - 4*k + 6*k) in the form j*k**2 + s + f*k and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + 5 + -4 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -66*v**2 - v + 8. Let b(t) = 3*t**2 + 1. Let z(p) = 2*b(p) - o(p). Find the second derivative of z(i) wrt i.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose 2*t + 49 = f, 5*f + 19 = t + 273. Suppose f*j - 32 = 49*j. Solve x*p + 4*q + j = 0, 12 = -0*p - p - 4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 + 2*h + 3. Let j = 10 + 15. Suppose 5*q + 31 = 3*d - 6*d, 5*q + j = 0. What is k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*((sqrt(3) + 0 + -4)*-4)**2.\nAnswer: -640*sqrt(3) + 1523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5727 - 5724. Find v, given that 6\/13*v**p - 2\/13*v**4 + 0 + 0*v**2 + 0*v = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -533377, -533397, -533419, -533437, -533445?\n\"Answer: o**3 - 7*o**2 - 6*o - 533365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10)*(-2)\/(-9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 4084*a + 2084882.\nAnswer: 2*(a + 1021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 70*m + 1. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69850805 divided by -13970161?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 2. Let m(a) = a + 1. Suppose -4 = -4*s + 4. Let o(y) = s*m(y) - h(y). Let i(p) be the third derivative of -p**5\/12 + 4*p**2. Give o(i(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*p = -21, 274*p - 135*p - 315 = -5*r - 201*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.2 (c) -104\/5 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - 5*f)*((-4 - 2 - 5)*(-2 + 5 - 1) - 4 + 0 + 2).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 11:37 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -2\/11 (c) 0.3 (d) 46 (e) 2\/3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 55.\nAnswer: -19\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = r, 8*o = 13*o + 3*r + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggllglggllg. What is prob of picking 3 g?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*c = 144*c + 131*c + 50*c + 5264 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Suppose -2*x + 0*x = -4*v - 20, x + 4*v = -14. Suppose x*w = 5*w. Is w at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 37*s = -63*s + 16368. Calculate the greatest common factor of 1496 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100201 (base 8) to base 12\nAnswer: -17055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/30 - z**2 - 244*z. Let m(u) = 7*u + 2. What is m(j(i))?\nAnswer: -14*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**25\/t)\/t**24)**(-6\/23) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (65 + 63)\/((-1)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atwooawaodo. Give prob of picking 1 t and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))**7\/(c**(1\/7)*c*c\/(c**0*c)*c))**(-1\/9) assuming c is positive.\nAnswer: c**(64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*y**2 - 9 + 2*y**2 - y**2 - 7*y**2 wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, a: 1, f: 6, z: 6}. Give prob of picking 1 z, 1 a, and 1 s.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let a(m) be the first derivative of -2*m**2 + 9. What is a(p(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-16*(-28)\/10304)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5788*g**2 + 5788*g**2 - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 2*f**4 - 4*f**2 + 6*f**2 - 2*f**3 + 3*f**3 - 3*f as d*f**2 + u*f + p*f**4 + y*f**3 + n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = l - 2*l. Let n(k) be the third derivative of k**5\/60 + 5*k**4\/24 - 13*k**3\/3 + k**2 - 147*k. Does 20 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10001002 + -11133210?\nAnswer: -21200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 + 3*z. Let v be y(-4). Suppose u = 3*u - v. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9052445 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 7*g. Let m be o(3). Let n be m\/4 + 47\/2. Suppose -297 = -5*s - n. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -11 - 1. Let v = q - -6. Solve 4*p = -16, 7 + v = m - 2*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9282491, 18564983, 27847475, 37129967?\n\"Answer: 9282492*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(-3)\/2. Let u = 3 - o. Let k = u - 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**4 + 2*v**2 - 2*v**2)*(4 - 2 - 1 + (-3 + 1 + 1)*(5 - 1 - 2) + (-1 + 13 + 46)*(10 + 1 - 6)) in the form q*v + b*v**2 + f + r*v**3 + o*v**4 and give o.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881466401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/(-468))\/((-10)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212 a factor of 11443704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59c + -ab?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3\/4, 2\/3, 4, 1, 0.5, -126 in decreasing order.\nAnswer: 29, 4, 1, 3\/4, 2\/3, 0.5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 52023?\nAnswer: 832368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, 7 in ascending order.\nAnswer: -5, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -103, -92, -65, -16, 61?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = -z + 15*f, -2*z = 36*f - 35*f - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m + k - 2, 2*m - 8 = -2*k. Solve -m*t + 7 = -3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 8913*o**2 + 8898*o**2 + 3*o**3 + 0 in the form s*o + a*o**2 + q + y*o**3 and give q.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:08 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6733*b**2*q**2 - 19534*b**2 + 5308*b*q - 7036*b - q**2 wrt b?\nAnswer: -13466*q**2 - 39068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -16737*v**2 - 16741*v**2 + 33469*v**2. Let s(k) = -343*k + 2. Determine s(o(w)).\nAnswer: 3087*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8754000 rounded to the nearest one hundred thousand?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -760a5a (base 12) in base 6?\nAnswer: -104010554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4678773, 9357552, 14036331, 18715110, 23393889, 28072668?\nAnswer: 32751447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 12. Let s(v) be the third derivative of -v**6\/120 + v**5\/10 + 7*v**4\/24 + v**3\/2 + 18*v**2. List the prime factors of s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 3, i: 1, d: 3, v: 2}. Give prob of sequence dviv.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 12 + 13. Solve 0*n + n - y = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-8.6802.\nAnswer: -1.73604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 39. Let u(p) = 16*p - 23. Let j be u(11). What is the highest common divisor of j and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -344*x + 3448. Give w(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 24*w = 376. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.22 from 4260.\nAnswer: 4259.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -547657165.\nAnswer: -547657165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f + 48. Suppose 3*o + 2*y = f, 5*y + 10 = 3*o + 4*y. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 92, 98, 106?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:01 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*i, -3*i - 6 = 2*j - j. Suppose 57 = -j*k + 6*k. What is the remainder when 55 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j - 15. Suppose -g + c = 3*g - 49, -5*c = -j*g + 24. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 6. Let u = -153 - -149. Let p(g) = 3*g + 11. Give u*p(f) + 7*k(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-45))\/((-48)\/(-18) - -2)*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10727373.\nAnswer: 3, 37, 96643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/40 - (-697)\/(-5). Let o = j + 227. Suppose 4*g + o = 7*g. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:30 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 18*y**2 + 5*y - 33. What is k(-4)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - 123. Let r = o + 179. Solve r*h = -3*i + 10, 6*i - h - 13 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 839757, 839758, 839759?\n\"Answer: x + 839756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 + -354. What is the biggest value in 34, m, -1\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(4) + sqrt(54))\/(5*sqrt(18)\/sqrt(9)))**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13.144*1436\nAnswer: -18874.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 7*p + 18. What is the remainder when 150 is divided by g(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100011101 (base 2) to base 4\nAnswer: -110131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f - 109*f + 860 = 129*f. Suppose -2*b - 4 = 5*l, 3*l = 7*l - 2*b - 4. Solve l*g + g = f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l**7)\/(l**(3\/2)*l*l\/(l**(2\/7)*l)*l) assuming l is positive.\nAnswer: l**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40333466, -40333450, -40333434, -40333418, -40333402?\nAnswer: -40333386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276625 by 7295.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 9. Let q(b) = -29*b**2 + 1. Calculate d(q(h)).\nAnswer: 2523*h**4 - 174*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - 117. Let o = -3105\/16 - q. Calculate the common denominator of (-16)\/(-28) - (536\/(-42) - 1\/6) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732757002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 8*i + 2. Let h be q(-8). What are the prime factors of ((-22)\/(-4) - h)*10?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.8. Let y = m - 2.2. What is the third biggest value in -1\/2, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*u - 3, 514*o - 516*o - 7 = -5*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7936, -63516, -214424, -508324, -992880?\nAnswer: -1715756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-5))\/d)\/d*d)\/d**(-1))\/(d**3*d*d*d*d*(d*d**(-2)*d)\/d*d)*(d**(-2\/23)\/d**(-5\/4))**(-11) assuming d is positive.\nAnswer: d**(-1269\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 4*h - 2*f + 26, -h - 4*f = -2 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26.436*-29645\nAnswer: 783695.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5863 - 9359 - 10864 - 7554 - v + 2*v + (2*v + 3*v - 3*v)*(-1 - 3 + 6) + 4*v + 0*v - 3*v.\nAnswer: 6*v - 21914","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(2*u**2 - 1 + 1)*(-11 + 11 + 12*u**2).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -19. Let y = -37 + 73. What is the greatest common divisor of d and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 3, w: 4, u: 10}. What is prob of sequence rw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-8 + -2 - -28) + -7?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:07 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -22717 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - t**2 + 4*t - 7. What are the prime factors of i(4)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)\/w**22*(w*w**7)**33 assuming w is positive.\nAnswer: w**(2176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u**2 - 178*u + 0*u**3 - 160*u + 348*u - 1 - 2*u**4 + u**3 as l*u**3 + m*u**4 + f + t*u**2 + k*u and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 6 in increasing order.\nAnswer: -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**3 + 8*h**2 - 57*h + 6. Determine n(4).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 34*k + 51. Determine u(35).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 - (0 + -2)). Let v be 40\/(-6)*(-12)\/10. Suppose h + 29 = 4*d, 3*d - v = 2*d + h. Solve n = -4*o - 4*m + 28, 0 - d = -3*o + 4*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3*b**8\/56 + b**4\/6 + 2*b - 4. Let u(o) be the first derivative of h(o). What is the third derivative of u(p) wrt p?\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -3*t**4\/4 - t**3\/2 - t**2. Let x be f(-6). Suppose 6*i - x = i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/4 + 7*w**3\/3 + w**2\/2 + 10*w - 2. Let m(k) = -5*k + 2. Calculate the remainder when m(-6) is divided by l(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 6*i**2 + 4 - 1 to p*i**2 + b + n*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - s)*(6 + 6 + 9)*(21*s + 2*s - 5*s).\nAnswer: -378*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74899 - -85?\nAnswer: -74814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 3. Let g = 12 + -8. Let y be l(g). Suppose 4 + 3 = t. Solve y = 4*w - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -747.65293 rounded to the nearest ten?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*q + 19 = 0, 16*q - 62 = 67*m + 15*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 5*g - 2845. Let z(m) = 105*m**2. Determine d(z(t)).\nAnswer: -11025*t**4 + 525*t**2 - 2845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2014)\/(-4)*(-13)\/39. Let i = 168 + m. Let z = -16.3 - -16. What is the closest to -0.4 in z, -0.1, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - i + 35, x = 5*i + 5 - 12 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 238947, 477901, 716869, 955857, 1194871, 1433917, 1673001?\n\"Answer: w**3 + w**2 + 238944*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 27 = -6*q. Let b = q - -6. Let c = -1 - b. Solve 0 = -c*f + 2*o - 6, 2*o - 6 = -7*f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146673*1812\nAnswer: -265771476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 67952?\nAnswer: 67952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 4, y: 2, u: 4, m: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 643*h**5\/20 + 95*h**3\/3 + 187*h + 1. What is the second derivative of g(s) wrt s?\nAnswer: 3858*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0.2, 117, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5088 = 1303*t - 879*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 27*f**3 - 51*f**2 - 25*f = 0.\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 2 - 2 - d + 4*d - 2*d**2. Let x(z) = z - 9. Determine 5*t(c) - 2*x(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -78. Suppose -5*w + m*d + 1905 = 6*d, 2*d = -5*w + 1900. Let t = w + 41. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 720 = -2344. Let i = -251 + y. Is (i\/5*-1)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, 0.3, 94, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3*2)\/((-6600)\/132)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, 17, 100, 257, 512, 889?\n\"Answer: 4*c**3 + c**2 + 2*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*n + 74962 = 784*n + 66*n for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -68. Let j = x - 142. Let f = j + 94. What is the highest common factor of 231 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -23*f - 42. Let g(s) = 8*s + 47. Calculate g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303642 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89206.41 centuries to millennia.\nAnswer: 8920.641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*u**3 + 3*u**4 + 3*u**4 - 2138*u**2 + u**4 - 264*u**2 + 5*u**4 wrt u?\nAnswer: 288*u - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.5 + 21.499713. Round u to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2056, -2, -4.\nAnswer: -4, -2, 0.2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvq when three letters picked without replacement from {v: 5, q: 3, l: 1, t: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 30 = -j, 3*g = 2*g - 5. Let r(d) = 7*d**3 + 3*d**2 + 5*d. Let o(h) = 20*h**3 + 8*h**2 + 14*h. Let t(m) = j*o(m) + 14*r(m). Factor t(s).\nAnswer: -2*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/8, 6.3, -5?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.4, 2\/103, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (0 + (8 - 4)). Let x be -9 - -10 - (1 - (i - -4)). Solve x*l = -l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229004*t**2 + 229004*t**2 - 1408*t**3.\nAnswer: -1408*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*v - 1\/6*v**2.\nAnswer: -v*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/960 + 8*k**3\/3 - 16. Let x(v) be the third derivative of h(v). Factor x(u).\nAnswer: 3*u**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*v - 633 = 0, -g + 329 = -5*v + 101. Let r = -249487349\/1172303 + -4\/106573. Let s = r + g. Which is the closest to -1? (a) -3 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(24)\/sqrt(4)*3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) - sqrt(72))*-5 - (sqrt(72) - ((sqrt(72) - sqrt(72)*-1) + sqrt(72)))*-3)\/(sqrt(216)\/sqrt(6)*-4).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9640 by -10.\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 4)*(1 + 0 + 0) - 3 + 5 + 1)*(2*n - 3 + 3) + 4 - 17*n + 22*n - 2 as x*n + s and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i + 2. Give b(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -37*r**3 - r**2 - 103*r + 102. What is the ten thousands digit of k(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = -14192 - 27499 - 11910. Which is greater: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwcw when four letters picked without replacement from {c: 11, w: 9}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 - (3 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -754, 2, -0.4?\nAnswer: -754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**7\/70 + 7*c**6\/40 - 9*c**5\/10 - 4*c**2 - 3. Factor a(u).\nAnswer: 3*u**2*(u - 2)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242.4946112 rounded to the nearest 10?\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -673296 by 8112.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-24)\/14)*(-32)\/728.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12074 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 39 = -0*v. Let n be 16\/(v\/6 - 2). Calculate the highest common factor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 494?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/90 + 106*x**4\/9 - 44944*x**3\/9 + 312*x**2 - 2*x. Determine q, given that s(q) = 0.\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26353, -52707, -79061, -105415, -131769, -158123?\n\"Answer: -26354*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*v**2 - 4*v - 2*v + 1903*v**2 + 6*v - 1371*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 45.\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*-2 - -9. Solve 0 = -5*u + 23 - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 9*t**2 + 5*t - 12. Let y be x(7). Suppose -3*l + y + 65 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttttttkv. Give prob of sequence kv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -7\/2714?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*d + 12, 5*d - 2*d = -r - 5. Let n = 20 + -14. What is the units digit of 14\/n*3*r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3949766 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 50*k - 159 - 144 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 587*m + 43. Let l be i(28). Suppose -3*y + 3558 = -l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*c + 91071, 0 = -0*q + q + c - 30361. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {l: 2, o: 1, g: 4, m: 6}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1622208 and 120.\nAnswer: 8111040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -7*n + 2*n - 8, -5*w = -4*n - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 97 + 7 + 71.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*m**3 + 42597 - 42597.\nAnswer: -450*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7811.003l to millilitres.\nAnswer: 7811003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(4) - sqrt(2)) + -1)**2 + 1 + sqrt(288).\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15)\/((88\/(-924))\/(132\/(-28))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - 3*v**2 - 3*v - 1. Let n = -198 - -196. Determine o(n).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.1065um in centimeters?\nAnswer: 0.00651065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-35)*10\/1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*g - 69 - 17*g + 5*g wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728784697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 754465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 25*g + 154. What is x(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let c be v(4). Let h = 13 + -9. Let i(n) = n**2 - 74*n + 221. Let q be i(3). Solve c = -h*j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*h + 5, -j + 3*h - 24 = -5*j. Suppose -3*r = 5*t - 89, j*t - 5*r = 4*t - 9. What is the tens digit of 1*t*9\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 28 = 133*y - 134*y, -2*k + 25 = 5*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.013, -24, 49\/41?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q - 8*q + 17 + q**3 + 22*q + 2*q**2 - 3 - 17*q. Let x be y(-4). Calculate the highest common divisor of 923 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -10 + 0 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 24444 = 3*m - 24462, 5*m = -4*i + 28 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxxxxixxixxxii. Give prob of picking 2 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 510 + -7157\/14. Let k = -2222 + 31121\/14. Calculate the common denominator of k and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.2 - 8. Let d = -4.19999913 + k. What is d rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 - 8*a - 7. Give r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 4. Let r be c(-5). Is 24 + 3 + r + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 + -1388\/9. What is the second biggest value in 1\/2, k, 0.2, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.9 + -11.7. What is the third biggest value in 30, 7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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 b(o) = -o**3 + 2*o**2. Let g be b(2). Suppose 5*z - 16 - 109 = 0. Solve 5*w + z = -g*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-1)*1 + -17 + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-12)\/(-5) - (-19)\/(-285).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -296*p**2 + 11*p. Let g(b) = -149*b**2 + 6*b. Let k(y) = -11*g(y) + 6*v(y). Let t(l) = -3*l. Calculate k(t(x)).\nAnswer: -1233*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 482, 1080, 1916, 2990?\n\"Answer: 119*d**2 + 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 26*o + 5. Let i(z) = 5*z**3 - 4*z**2 + 1. Let x(q) = 0*q**3 + 4*q**2 - 2*q**3 + q**3 - 3*q**2. Determine o*x(t) + i(t).\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(9\/((-90)\/(-14)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -12) + (-3 - (-195)\/18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -14, 2\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3979 - 3993 = -2*r + 2*f, -2*f = -5*r + 32 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -1, -5 in descending order.\nAnswer: 0, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 23912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 - -0.02. Let y(f) = -71*f - 499. Let h be y(-7). Let o be (h + (-5)\/(-2))\/((-14)\/4). What is the biggest value in o, m, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 17009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286946, 286919, 286868, 286799, 286718, 286631, 286544, 286463?\nAnswer: 286394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, v: 1}. What is prob of picking 3 p?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:57 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 times -0.7?\nAnswer: -846.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*m + 8 - 3, -b + 1 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -3 - -12*2\/(-10). Which is the fourth smallest value? (a) 0.2 (b) 1 (c) j (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 60*p - 5 = 3*o, -16 = -4*p. Solve -34 = 6*t - 3*t - 5*h, -o*t - 4*h = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 6*z**2 - 8*z - 4. Let s be y(-6). Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/60 + t**4\/3 - 5*t**3\/6 + 9*t**2. Give d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 0.5, 1, 1141, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j + 24. Let o(v) = 2 - 1 + 3 + 2*v + 3. Determine o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:11 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*g + 12, 6 = 7*m - 5*m + 5*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4863*a + 4919. Determine l(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - 43*t**2 + 68*t - 353. What is u(10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(0 + sqrt(539))*-1)**2 - (sqrt(66)\/sqrt(6) + 1 - sqrt(121)\/(sqrt(11) - 3*sqrt(11))))*-2.\nAnswer: -1076 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmaqqmamqaq. Give prob of sequence qaq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2121*x**3 + x**2 - 193*x - 586. List the prime factors of d(-3).\nAnswer: 57269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528939 is divided by 9882.\nAnswer: 9029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/622 and -113\/20.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17914020 a multiple of 879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140348?\nAnswer: 2, 13, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25404505 (base 6) to base 9.\nAnswer: -1487085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101110100000 (base 2) to base 12\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2900*n + 1055 + 460 = 2799*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331649964 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: What is -577 less than 0.6444877562?\nAnswer: 577.6444877562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*h + 27, h + 5*d = 3*h - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -0.5. Let t = 3.4 + j. Which is the biggest value? (a) -2\/5 (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 - 0 - (-16 + 9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31305 by 5.\nAnswer: 6261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-7)\/(-378)*-162?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20783 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 6, y: 5, u: 5, f: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/4 + 31*f\/4 - 15\/2 = 0. Calculate f.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148 - -81. Let w = -67.2 - o. Let r be (-1)\/10*2\/(-1). Which is the smallest value? (a) w (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*a = 18. Let c be (-373090)\/a + 1\/(-3). Suppose x = c - 6363. What is x rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 0*q - 2*q - 2*q. Let v(y) = -y. Calculate b(v(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*q + 80 = 0, w + 4*q - 15 = 10. What is the remainder when 104 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/63 - 1050\/(-245) - 17\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 12104380?\nAnswer: 12104380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**7\/7560 - o**6\/864 + o**5\/240 + 5*o**4\/8 + 12*o**2. Let t(m) be the second derivative of k(m). Factor t(n).\nAnswer: -(n + 3)*(2*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-60)\/(-45))*(-1)\/(-10)*3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -1100?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -215. Let r = -15 + w. Solve -r - 9 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7387648, -14775247, -22162846, -29550445, -36938044, -44325643?\n\"Answer: -7387599*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69722579536 plus 1?\nAnswer: 69722579537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 184062 to the power of 1\/2, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let i(q) = -17*q + 10*q + 8*q + 9. Let p(f) = 2. Let c(s) = -i(s) + 6*p(s). Suppose 4*a + 2 = -2. Determine a*c(j) + m(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q + 1 - 1 - 1. Let f(w) = -6*w + 5 - 3*w - 12 + 8*w. Let y be f(-6). Calculate b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144810700 rounded to the nearest 1000000?\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 295613?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1054, 4207, 9458, 16807, 26254, 37799, 51442?\nAnswer: 67183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + -20?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -5*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-72) + (-14 - (-2028)\/72).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/30 - 73*u**4\/3 - 1231*u**3\/6 - 76*u**2 - 1. What is the derivative of l(a) wrt a?\nAnswer: 4*a - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3 + 25. Solve b*k - 7*y = -3*y + 16, 0 = 3*k + 4*y + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636587417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v = -14*v - 93. Solve 8 = -v*z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 95 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 443191653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/(7\/56). Suppose -5*s = -8 - b. Let k be s*((-2)\/(-6))\/(-1). Sort -0.2, 1\/5, k in increasing order.\nAnswer: k, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from jqqyj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddddddddddddgdd?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 - 3)*(0 + 0 + 2) - 2 + 3 + 2)*(-1 + 2 + 2)*(5*f - 5*f - 909*f**2) + 6*f**2 - 3*f - 4*f**2 - 2*f as x*f + n + i*f**2 and give i.\nAnswer: -2725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 327797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 172 + -175?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 1. Suppose -r = 5*g - 33. Solve 5*u = g*m + 15, 4*m = -2*u + 2*m + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n. Solve c - 6*c + 20 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/12 - 11*p**2. Let m(a) be the first derivative of 5*a**2 - 60. Calculate m(q(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(441)\/sqrt(7) - ((sqrt(7) - sqrt(14)\/sqrt(2)) + 2 - ((sqrt(14)\/sqrt(2) - sqrt(7))*-2)**2).\nAnswer: -2 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*p**3*w - 2*p**3 + 465*p**2*w wrt p?\nAnswer: 1074*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*w**3 - w**2 + 162*w wrt w?\nAnswer: -228*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31425893, 31425899, 31425905, 31425911, 31425917, 31425923?\nAnswer: 31425929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 12*k - 30. Let x be r(-4). Suppose -41 = -d - j, x*j - 126 = -3*d - 0*d. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 - 3\/(-5). Let g = 69 + -80. Let j = g + 9. Is q >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}