diff --git "a/data/dm_maths/full_data_2/10512_11255.jsonl" "b/data/dm_maths/full_data_2/10512_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10512_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the lowest common multiple of 30 and 312290.\nAnswer: 936870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*a**2 - 5151*a**3 - 5*a**2 + 5134*a**3 to s*a**3 + n*a**2 + u*a + q and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6) + 3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 - 0.02133\nAnswer: 0.03467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknkkkknkkknayjnjyy. What is prob of sequence njn?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.28 - 485.28. Sort -2\/21, j, 3\/4 in decreasing order.\nAnswer: 3\/4, -2\/21, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2692691, 5385381, 8078071, 10770761?\nAnswer: 13463451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 + 60*y**4 + 376*y**3 + 496*y**2 - 288*y - 640 = 0.\nAnswer: -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -26.38. Let t = 29.43 - g. Let l = -21 + t. Which is the second biggest value? (a) l (b) -1\/10 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2637387 and 89671158.\nAnswer: 89671158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74613 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 10. Let w(n) = n**2 - 10*n + 6. Let x be w(g). What is the common denominator of 170\/22 + 12 + x and -51\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -121. Is g less than 1\/172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360665670.\nAnswer: 2, 5, 7, 13, 59, 25343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most as big as 18335451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 38*g + 126. Let i be j(-34). Let l be 0*(65\/i)\/13. Solve -4*t = -3*b + 11 - 4, -5*t + 3*b - 5 = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 3. Suppose -l*p = -5*q - 11, 11 = 2*q - 4*p + 25. Suppose 2*a + s - 2 = -3, -5*s - 11 = 4*a. Calculate the remainder when a is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:19 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:44 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjy when three letters picked without replacement from yyyjjjyrjryjjryjjjr?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a + 198 = -4*d, 253 = -5*d - 3*a. Let w(h) = 3*h**2 - 6*h - 1. Let f be w(6). Let k = f + d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15230770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7044159 to the nearest integer?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*f - 14 + 19 - 5 as d*f + q and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**7\/525 + b**6\/75 - b**5\/50 - 2*b**2 + 13*b. Determine p so that j(p) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2987*s**2 - 1004*s**2 - 2*s + 10361*s**2 - 10912 wrt s?\nAnswer: 24688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2 - 343*o - 3359. Determine t(55).\nAnswer: -1049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142255543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*j + 120, 0 = -3*m + j + 13 + 61. Solve 0 = -5*o - 3*q - m, 2*o + 5*q + 25 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11398, 22789, 34180, 45571?\n\"Answer: 11391*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.640039606 rounded to 5 decimal places?\nAnswer: -0.64004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 + z - 1. Let q be x(5). Let n(k) = -4 + 14*k**2 + q*k + 0 + 7. Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1287*s + s**3 - 1480*s + 2767*s - 3*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 5 - 3*x - 11)*(-6*x + 33*x + 0*x).\nAnswer: 54*x**2 - 432*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63122\/(-4) - 3)\/3215. Let y = j + 6\/643. What is the common denominator of 9\/(-12)*134\/(-9) and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 966, 0, 5, 1\/3, 1, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y + 20. Solve -y*u + 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -49. What is the closest to -2\/5 in y, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -12, 4, -284, -1, -4, -5 in descending order.\nAnswer: 4, -1, -4, -5, -12, -18, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0, 3, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.362 + -1.662. What is the smallest value in d, -0.2, -18, -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 5*n - 2*n + 4*r, -n = r + 18. Let u be (n + 5)*-2*(-1)\/(-4). Let p(w) = 5 - u - 2*w + 3*w. Let b(s) = 24*s. What is p(b(c))?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/((-4)\/(-8)). Let l(r) = -r**3 + 3*r**2 + 2*r. Let d be l(3). Which is greater: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbi when four letters picked without replacement from bbib.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102 or 45?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 24*n - 14*f + 19*f + 1 = 9 + 1, 2*n - 4*f = -12 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 46, 150, 346, 664, 1134, 1786, 2650?\nAnswer: 3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3522 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*k + 5 = -19, -3*k + 8 = -2*m. Suppose -5*t + 2*t + 4 = -m*l, -5*t + 8 = -3*l. Put 1, -2, l in increasing order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let h(g) be the first derivative of 32*g**3 + 258. Give h(f(d)).\nAnswer: 384*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 215 + 1215*q**2 - 247*q**2 - 215 + (-q - 2*q + 5*q)*(-q + 0*q - q).\nAnswer: 964*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x - 6*x**2 + 7*x + (-11*x + 9*x - 7*x)*(-16*x + 10*x - 8*x).\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53\/2 (b) 2\/5 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -1)*324\/27 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 48, 84, 138, 216, 324, 468?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 44. Suppose 10*v = 1368 + 952. Suppose p*t = 3, -2*d = 3*d - 3*t - v. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 3 + 1\/12*i**4 + 0*i**3 - 1\/2*i**2 + i. Let y(d) be the first derivative of m(d). Calculate y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/6 + 10*f**3 - 64*f**2 + 392*f\/3 - 2572. Factor u(c).\nAnswer: 2*(c - 2)**2*(c + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -22. What is the remainder when 4\/(-6) + (-154)\/(-6) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 643\/4. Calculate the common denominator of u and 61\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+0.03703204652\nAnswer: 0.09703204652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 17*l**2 - 36*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-47670)\/4540 + -1*1*-11. What is the third biggest value in c, -22, -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-8))\/(-1))\/(4\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/77644 and 139\/25746.\nAnswer: 142787316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kamj when four letters picked without replacement from akkcamkajjk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184781021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + (-840)\/9. Let j = s - -173. Suppose 0 = 2*i - p - 63, 4*i - 5*p - 42 - 81 = 0. What is the greatest common divisor of i and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94968.\nAnswer: 2, 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/3)\/((-3)\/(7 - 16)). Let o be (2 - -3)*6\/10. Sort o, -5, j in descending order.\nAnswer: j, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 14*p**2 - 3*p + 4. Let c be s(2). Let g = -53 + c. Put 10, 4, g in increasing order.\nAnswer: g, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -1\/2*p**2 - 2 - 4*p. Let v(i) = 2*i + 5. Determine -3*j(f) - 2*v(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 2*s + 3. Let f be c(3). Suppose f = -g + 5*g - 172. What is the third derivative of 2*u**4 - 3*u**2 + g - 43 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23543*-1033.\nAnswer: 243.19919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -968 - -1619. Let l = i + -654. What is the nearest to -0.2 in -4\/3, -14, l?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**(-6)*m*m*m**(-5) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from {d: 6, g: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**38*y)\/y*y*y)\/y*y**(3\/32)*y)**(42\/5) assuming y is positive.\nAnswer: y**(26943\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*s**5 + 15777*s**3 - s**2 - 1670*s + 20?\nAnswer: -1620*s**2 + 94662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*u = 0, 3*u = -12*i + 15*i + 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**7\/560 + d**6\/120 - 13*d**5\/480 - 5*d**4\/32 - 1188*d**2 + 2. Let k(h) = 0. Calculate h.\nAnswer: -3, -5\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 2*j - u - 171, -3*j - u - 7 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeqeennqqeqqne. What is prob of sequence nq?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -113757 rounded to the nearest 1000?\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772, 764, 746, 718?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1629 + -555. Let g = 3547 + q. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 28*d - 66. What are the prime factors of q(24)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -77, -105, -151, -221, -321, -457, -635?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q**2 - 76*q - 312. Let s(m) = -26*m**2 - 152*m - 624. Let a(x) = -9*i(x) + 4*s(x). Factor a(l).\nAnswer: 4*(l + 6)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -5*u**3 + 0 - 17*u - 3\/4*u**4 + 12*u**2. Find b such that s(b) = 0.\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606105391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 + 9*s**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 6*f + 4. Suppose -3*w + 5*v - 1 = 0, -w - 3*v - 33 = 2*w. Let s be a(w). Sort s, 14, 4 in descending order.\nAnswer: 14, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - r = 4, -4*l + 3*r - 8*r - 20 = 0. Suppose -4*m + 3*p + 32 = l, 2*m + 2*p - 22 = 5*p. Solve m*k = -14 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 2 + 8 - 3 + 2*v + 0*v + 0*v + 2*v - 3 + 3 + (2 - 1 + 0)*(-v + v + v).\nAnswer: 6*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2004 + -2004.06. Which is greater: z or 668?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272546.\nAnswer: 2, 3, 11, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -6) + 53 - 50) + -2 + 0 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27048*h**3*j - 33075*h**3 - h**2 - 2*j**2 wrt j.\nAnswer: -27048*h**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -403, -435, -467, -499, -531, -563?\n\"Answer: -32*w - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 38. Let h be z(0). Suppose -5*x + 47 = -h. Calculate the remainder when 48 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(27)*2 + -1 - -5*(sqrt(108)\/(3*sqrt(4)))**2) + 1.\nAnswer: 6*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 + 0*c + 3*c - 5*c + 5 + c**3. Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.23843 millennia to centuries.\nAnswer: 682.3843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138*j**3*y**3 - 13*j**3 + 226*j + 110*y**4 wrt y?\nAnswer: -414*j**3*y**2 + 440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 47. Let o be (6\/u)\/((-57)\/(-9)). Which is the smallest value? (a) -1\/6 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035001046?\nAnswer: 2, 3, 13, 26089757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 14. What is the least common multiple of 64 and x?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 7. Let v(m) = -3*m - 4. Let u be v(0). Calculate the remainder when 15 + (-2 - (-2)\/u*2) is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 728. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.72*-2\nAnswer: 9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -8, 5, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5757 + 5762. Which is the nearest to 1? (a) -0.15 (b) -6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:46 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) - 3\/5. Which is the smallest value? (a) 0 (b) l (c) 0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 - 8*i + 5. List the prime factors of n(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 3*x**2 + 3*x - 2. Suppose 15 = 5*t + y, -2*t = -2*y + 9 - 3. What is r(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 - 11 - 41 - 9*q**2 as t + z*q**2 + w*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -15426?\nAnswer: -15436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2 + 2 - j + 28*j**2. Suppose 44 = 4*s + 4*q, 5*q = s - 5*s + 45. Calculate the remainder when i(-1) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2861967 to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3584 + 3586. Sort 116, -1, i, -4\/3 in increasing order.\nAnswer: -4\/3, -1, i, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708 = -5*j - 723, 18*j = -2*i - 78 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 38 = 286. Solve -2*g = 5*a + s, 0 = -2*g - 0*a - 4*a - 26 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -1\/2, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 2. Let j be d(-3). Let r(q) = q**2 - 2*q. Let o be r(j). Let n(y) = -7*y**3 - y - 1. Is n(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 + 4*u + 1. Let h be y(-3). Let w(v) = -v**2 + 10*v - 6. Is w(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - 2\/((4\/(-3))\/2). Let f(a) = -a - 4 + 0 + 6. What is f(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -289487208\nAnswer: -289487205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*n + 62, s = 6*s + 2*n + 108. Let k be (s\/(-12))\/(5\/(-365)). Let a = k + 123. Calculate the common denominator of -33\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*o - 24 - 7 = 0, 2*z + o - 11 = 0. Let a(l) = z - 8 + 3*l**2 - 5*l + 10. Let f be a(6). What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g - 4. Let s(w) = -4*w + 2. Let k(n) = 9*n - 2. Let a be (-60)\/27 + 2\/9. Let o be k(a). Let b be 13\/4 + 5\/o. What is b*z(x) + 7*s(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -428, -593, -758, -923?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3859.\nAnswer: 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g - 4. Determine q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 8 = 4*q + 2*k, -2*k = -4*q. Is 14 a factor of 42\/(-9)*q*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916405, -3659358, -8230953, -14631196, -22860093, -32917650, -44803873?\nAnswer: -58518768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 1. Suppose -p*j + 0*j + 64 = 0. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 115*j + 6860. What is the remainder when n(-56) is divided by 73?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4 + 2410750*l**3 + 968618456832*l**2 + 129727069921902592*l - 129728038542770176 = 0.\nAnswer: -401792, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.6 + -50. Let t = -5 - m. Let x = 3 + -2.8. What is the biggest value in 3\/5, t, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.33 + -0.0289076.\nAnswer: -4.3589076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 114752 divided by -32\nAnswer: -3586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 14. Let d be k(-6). Let c(j) = -d*j + 3*j + 15*j**2 + 20*j**2. Is c(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-45)\/(-6))\/(-5))\/(18\/264))\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + k**2 + 4*k - 27. Let b be c(-8). Let d = b + 474. Is d > -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2231723 by -2.\nAnswer: 2231723\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 2*f - 18*f + 4 + 9*f + 3*f. Let x(b) be the first derivative of 6*b**2 - 7*b + 1. Give -7*n(g) - 4*x(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 170896578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(3 + -1). Suppose -2*v - 2*u + 44 = 0, 4*v + 5 - 58 = p*u. Let k(l) = 4*l + 7. Let d(h) = 7*h - 20 - 18*h + 0. What is v*k(c) + 6*d(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282 - 288. Put 1\/6, z, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80451234 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 15\/(-3) + 68004. Round d to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 3688808*f**2 + 1158581500*f - 90956387536.\nAnswer: -4*(f - 157)**2*(f + 922516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 672, 1002, 1332, 1662, 1992?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -63. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 662530 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*b**2 - 4\/5*b - 6\/5 = 0. What is b?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2566, -5465, -8368, -11275?\n\"Answer: -2*w**2 - 2893*w + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*(n*n\/((n*n\/(n\/n**(-4\/3)*n))\/n)*n)\/n*n)\/n)\/(n\/(n\/n**1)))\/((n*n**(-2\/5)*n)\/n)**(-34))**(3\/5) assuming n is positive.\nAnswer: n**(386\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108)\/(-15) + 2\/(-10). Suppose 6 = -2*v - d, 3*d - 18 = 5*v + h*d. Let s be v\/1 - (-45)\/21. Are 1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -58.686. Let m = h + 0.004. Round m to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12292538.\nAnswer: 2, 41, 149909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*o - 418*o - 17*y - 315 = 0, 5*o + 2*y + 18 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2078, -2, -3, 2\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1018 + -1002. Suppose 0 = -x - 0*x + 127. Calculate the remainder when x is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 8. Let r be d(-6). Find the common denominator of -79\/18 and (1*r)\/((-16)\/(-404)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113 + -37764?\nAnswer: -40077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -1\/8*d**4 + 0*d + 2*d**2 + 0 + 0*d**3 - 1\/30*d**5. What is the second derivative of s(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.2620301 minutes?\nAnswer: 0.002959743125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 0*z**5 - 2*z**5 + (-209*z**2 + 1703 - 852 - 850)*(4*z**3 - 5*z**3 - z**3).\nAnswer: 416*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -489.843 + 476. Let p = -48.602 - m. Let a = p - -34.9. What is a rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76845480 and 19211370.\nAnswer: 76845480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0 + 2 + -1. Let u(l) = -13*l. Suppose -150 = -5*m + 100. What is the remainder when m is divided by u(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 29*r**2 + 42*r + 746. Determine q(-31).\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4518 - -0.0152. Let u = -67 - -67.033. Let p = u + i. What is the nearest to 2 in 1, p, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4748.65820034135 take away 0.1?\nAnswer: -4748.75820034135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*u**3 - 372*u**3 - 9*u**2 + 173*u**3 wrt u?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11 at least as big as -0.047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184 - 1048 = y - 3*g, -5*g = -4*y - 8935. What is the units digit of (-3 + y\/9)*3\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 3*f + 14. Let m be b(-6). Let l = 94 + m. Suppose -4*y - l = -6*y. What is the highest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/27? (a) 0 (b) 4\/11 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271 - -193. Let j be (-2)\/(-2)*(-12)\/h. Sort j, -23, 0 in increasing order.\nAnswer: -23, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(-26))**(24\/7) assuming b is positive.\nAnswer: b**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g + 13. Let n be z(-11). Suppose -n*j + 98 = 92. Factor 2\/5*i**2 + 0*i + 2\/5*i**j + 0.\nAnswer: 2*i**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 + 100100110100100111101?\nAnswer: 100100110100101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -2.99. Let f = 2604 - 2607. What is the second biggest value in f, 2, m, 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -62*r**3 + 9*r**2 + 61*r - 1. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6372 or 57346\/9?\nAnswer: 6372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122290688 rounded to the nearest ten thousand?\nAnswer: -122290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.68697987 to four decimal places.\nAnswer: -0.687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/4 - 3847*f + 14799409 = 0.\nAnswer: 7694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 27728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4776\/25 - 89561\/275. Let m = 135 + r. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76244547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-1)\/(-1) - 63\/(-56))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 90*l + 93.\nAnswer: -3*(l - 1)*(l + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36875*j + 128 = 36891*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4913 + -4912. Suppose 5*y + h = -2*h - 5, -19 = 3*y + 5*h. Let i = 2 - y. Solve 2*p - 1 - z = i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 4, u: 6, f: 2, j: 2}. What is prob of picking 1 j, 2 f, and 1 t?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257 - 254. Sort 6, -4, z, 0 in decreasing order.\nAnswer: 6, z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - 103. Let l = -80 - a. Does 37 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n - 1400. Let l be t(-35). Let z = 616 + -73302\/119. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 1, n: 1, r: 3, p: 4, z: 1}. Give prob of sequence vbp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 578965 and -2.8.\nAnswer: 578962.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8016 and 3?\nAnswer: 8016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16128*l + 32640. Calculate s(-2).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**3 - 9*d**2*v - 2*d*v + 41*v wrt d?\nAnswer: -9*d**2 - 18*d*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 286*g + 2989. Suppose 0*m - 90 = -5*m. What is the remainder when a(10) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6062523 to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + 43701\/(-2)*78\/(-117).\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -10, 2, 18, 38, 62, 90?\n\"Answer: 2*a**2 + 2*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 7*b - 6. Let m(g) = g**2 + 3*g - 81. Let c be m(-10). Calculate v(c).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-246)\/(-4)*4046\/(-21). Let o = m + 132849. Round o to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 71.70493601\nAnswer: 21.70493601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33206 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -x, x - 15 = -4*x. Let s be (-6 + c)*(0 - 5). What is the greatest common divisor of s and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -27. List the prime factors of b\/(-4)*2*123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -42, -50, -54?\n\"Answer: 2*s**2 - 18*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 8. Let x be (-522)\/(-20) - (-28)\/(-280). Let a = x + j. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3044, 2994, 2944, 2894, 2844, 2794?\n\"Answer: -50*d + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -b, -2*b - 6 = l - 4*l. Let n(x) = -2*x - 8. Let z be n(-5). Suppose 5*f + 15 = 0, a = -z*a - 4*f - 6. Solve -a = 2*k - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/5)*h)**21*(h*h*h**(4\/9))**(-50) assuming h is positive.\nAnswer: h**(-4177\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - 4 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -33*b + 19*b + 15*b, -5*b = -4*x + 153 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwqqqqwkkww. What is prob of picking 1 k and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 100011100110001111010100101?\nAnswer: 100011100110001111010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b + 1255. Suppose 0 = 3*v - b + 107. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.23? (a) 3\/5 (b) -0.042 (c) -3 (d) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 2866. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 5509399?\nAnswer: 5509399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 510135, 1020264, 1530383, 2040486, 2550567, 3060620, 3570639?\n\"Answer: -m**3 + m**2 + 510133*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/385 - 54\/(-90)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -629, -758, -24\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**3 - 118*h + 120*h + 2*h**3)*(-h + 0*h - 3*h).\nAnswer: -56*h**4 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*-3*3\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(700) + 0) - sqrt(700) - (((-1*sqrt(7) + sqrt(7))*-6 + sqrt(7))**2 - (sqrt(700) + 0)).\nAnswer: -10*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16138340665 and -5?\nAnswer: 5.16138340665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + 3 - 6 + k + 2 - 4*k**2. Let m(v) = -v - 7. Let o be m(-9). Let z(g) = -5*g**2 - o*g - 21 + 24 - g. Give 3*c(u) + z(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n + 7. Let d be y(5). Suppose 0 = 2*z - 3*z + d. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (1 + 17 - -11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585860 and 1760?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/47135 or -1?\nAnswer: -4\/47135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeecgcceyeqqeqcs. What is prob of sequence gsee?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32021238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 13 = -3*i, -2*i + 10 = -3*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50141 and 40397.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x - x**2 + 5*x**2)*(x - 2 + 2)*(2*x**2 + 3*x**2 - 3*x**2 + 0*x + 0*x + 2*x**2 + (-1 - x**2 + 1)*(-3 + 5 - 1) + x - x - 2*x**2).\nAnswer: 4*x**5 - x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2655 divided by 5.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-348*r - 227*r - 39*r)*(r - 29*r - 21*r + 13*r).\nAnswer: 22104*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = 3*m, -4*m - 6*i = -4*i + 12. Let x(g) = 2*g**2 + 8*g - 7. Let p be x(m). Solve -p*u - 2*t + 6 = 0, 3*t - 6*t - 9 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Suppose 2*c - 5*w + 14 = 0, -3*w + 6 = v*c - 5*c. Factor 0*j**5 + 2*j**2 - 2*j**5 - j**4 - j**4 + 2*j**c.\nAnswer: -2*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13806\/(-8610) + (-16)\/(-10))*-7?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1 + (4 - 2)) + 329\/(-112) + -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*d - 132*d + 66*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 9*k + 6631. What is i(86)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/30 - 11*t**5\/60 - 5*t**4\/24 + t**3\/3 + 7*t**2. Suppose u(s) = 0. What is s?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -2)*-449*1. Suppose 2 = 6*c - 28. Suppose -3*u - 5*f + 272 = 0, 5*u + 9*f - p = c*f. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328 - -333. Let j be (-2)\/(-7) + 52\/14. Solve -a + g = j*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 32*v - 21*v = -82*v + 1600 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92613 is divided by 1888.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 3*l - 3. Let s(v) = -5*v**2 + 8*v - 8. Let y be ((150\/4)\/3)\/((-3)\/(-6)). Suppose -y*i = -29*i - 12. What is i*s(x) + 8*w(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148159 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2269 (b) 192 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11 = 4*o + o, -5*l - 3*o = -20. Suppose l = 4*h - 1. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -17. List the prime factors of -4*(i\/(-16))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 83. Let m be a(-22). Solve -x - 5 = 0, -4*n + m*x = -3*n - 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(99)\/(2*sqrt(9)) + -3).\nAnswer: -2*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 7, w: 1, x: 2, f: 1}. Give prob of sequence uuf.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (0 + 4\/(-2)). What is the common denominator of 99\/8 and (u - 0) + (-234)\/(-42)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - (1 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(176) + 1 + -1.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or 8509?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*h + 41*h + 30*h)*(-14*h + 4*h + 4*h)*(-2 + 1 - 1) to q*h + w + d*h**2 and give d.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1\/12*n**4 - 3*n + 0*n**3 + 0 + 0*n**2. Let t(z) = 3*z. What is x(t(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f**2 - 58*f + 13. Let d be p(-12). Let a = 1461 + d. Suppose 2*j - 5*j + 12 = 0. What is the smallest common multiple of a and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1693, -3320, -4947, -6574?\nAnswer: -8201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2566 - -2585. Solve -o*t = -14*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 - 3*s - 7. Let c(a) = -5*a**3 - 13*a**2 - 13*a - 29. Let k(u) = 2*c(u) - 9*d(u). Let w be k(0). Sort 3, w, -1 in descending order.\nAnswer: w, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - 1.97. Let v = -1 - f. Let g = 0.550036 - 0.050036. Which is the nearest to v? (a) 2\/11 (b) -2\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 741?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1820, -3648, -5478, -7310, -9144, -10980, -12818?\nAnswer: -14658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 - 9*u**2\/5 + 8*u\/5.\nAnswer: u*(u - 8)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1 + sqrt(8))*6)**2 + sqrt(160)\/sqrt(5) - (sqrt(72) + sqrt(72)*1*-3)**2).\nAnswer: -444*sqrt(2) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380374864?\nAnswer: 2, 11, 7843039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36716492?\nAnswer: 2, 53, 173191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053\/4 at most as big as -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1736.973 centuries?\nAnswer: 173697.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (50 - (32 + 75))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from sbsbssrrsse.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26699534?\nAnswer: 2, 13349767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/((-8)\/(-128)*-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 3996.\nAnswer: 67932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-one halves of a micrometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-15 - -10) - 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1615 - -4570598054\nAnswer: 4570599669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43, -73, -97, -121, -151, -193?\n\"Answer: -z**3 + 9*z**2 - 50*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/498 and 13\/1162?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1871 and 1097208659?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose 2 = -0*b + 2*b, 0 = -2*k + w*b + 39. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -177 divided by 6\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:21 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71289.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79970408.\nAnswer: 2, 7, 163, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135074940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 20*t**2 - 11*t - 22. Let d be k(15). Suppose -3*c - 2*c = 4*p - 966, -3*p = -5*c + d. Calculate the highest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -27*r - 9666. Let o(u) = 10*u + 3231. Give 11*o(x) + 4*s(x).\nAnswer: 2*x - 3123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let s(m) = -m**3 - 5*m**2 + 4*m - 7. Let l(w) = w**2 - 7*w - 6. Let r be l(7). Let q be s(r). Is q equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*r = -21, 187*x = 189*x - 5*r + 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {w: 4, t: 8, g: 1}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 + 3\/(-9)*93.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 39117.65mm?\nAnswer: 39.11765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = v - 4. Let i = 34 - v. Calculate the common denominator of i and -25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1802 + -1791 + (0 - 33).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 + 8*w + 6. Let j(g) = 4*g**2 - 7*g - 5. Let x(i) = -6*j(i) - 5*n(i). Let c be x(2). What is the highest common factor of 64 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 6*z + 9. Let o be w(-7). Let f = -6 + 8. Suppose -m + 105 = -f*s, -o*m = 2*m + 3*s - 398. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-1*(sqrt(176) + (sqrt(176) - (sqrt(176) - ((sqrt(176) - 2*sqrt(176)) + sqrt(176))) - sqrt(176))))**2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -2\/167, 0.5?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473388 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*r + 0*r = -80, 100 = 5*s - r. Calculate the least common multiple of 4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1191196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*q = -180*q + 1908 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 30078*o + 6 - 2*o**2 - 30078*o. Let h(j) = j**2 - 1. Determine 12*h(v) + 2*i(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -901\/35 + 183\/7. Let y be -1 + 0 + -1 + -1. What is the third smallest value in y, m, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/24)\/1*-9. Solve u - 6 + 9 = -3*h, -h = -2*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -7506040?\nAnswer: -7506038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 + -50?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4474c (base 14) in base 11?\nAnswer: -103862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47106019 and 0.3.\nAnswer: -14131805.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4 (c) 0.75 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 4*t**3 + 2*t**4 + (-2 + 2 + t**2)*(-4 + 4 + t**2) + 83*t**4 - 92*t**4 + 310*t**4 as i*t**2 + h*t**3 + d*t + n*t**4 + k and give n.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/((-2)\/32). Let u be (50\/40)\/(2\/t). Let d = 2 + -1. Put d, u, 5 in ascending order.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*f - 63 - 103, -3*f = t - 83. Let k = t - -85. Let w = 346 - k. Is w a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, k: 7}. Give prob of picking 3 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21277664 divided by 143768\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10\/1026187?\nAnswer: 10\/1026187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/702 and 37\/1601028?\nAnswer: 4803084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-4) + 3\/6. Suppose h + s - 4 = -0*s, -i*h + 28 = s. Solve -5*v + h = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b. Let x(f) = -f**2 + 3*f. Let s(u) = 2*u**2 + 19*u + 2. Let d(a) = -s(a) + 4*x(a). Determine d(c) - 5*v(c).\nAnswer: -c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 - -2.3. Let r = -2 - s. Let f = -0.7 + 0.2. Sort f, 0.3, r.\nAnswer: f, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 0 - (4\/2 + -53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49150912159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/8)\/u)\/u*u\/u**(-2\/29))\/(u**(-2\/21)*u*u*u**(-6)))**(3\/31) assuming u is positive.\nAnswer: u**(13589\/50344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 5*o + 1. Let s be r(-6). Let v be s\/(-3)*9\/(-45). Which is bigger: 70 or v?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827420578 to the power of 1\/2, to the nearest integer?\nAnswer: 53173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**3 - 4*n**2 - 3*n + 5. Let r(s) be the first derivative of 13*s**4\/4 - 7*s**3\/3 - 5*s**2\/2 + 9*s + 134. What is -7*l(w) + 4*r(w)?\nAnswer: 3*w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + -11.8. Let a = -495 - -507.76. Let g = a + z. What is g rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 7*w**3 - 47*w**3.\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 8) + -2 + (-4 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.09 + 0.09. Are g and 1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 100*t + 7309. Determine v(-73).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 854263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2415)\/34776)\/(5\/2)*96\/(-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 95. Which is the second biggest value? (a) -0.3 (b) 0.04 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -4*j + 1\/7*j**2 + 3 + 1\/42*j**4 + 2\/21*j**3. Let x(h) be the first derivative of r(h). Factor x(u).\nAnswer: 2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26 - 29)\/(42\/(-8)). Let t = -146 + 148. Factor 0*q**t + 0*q + 2\/7*q**5 + 0 + 2\/7*q**3 + c*q**4.\nAnswer: 2*q**3*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932.13 minus -3.29325?\nAnswer: -928.83675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5905 + -0.1?\nAnswer: 5904.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07722 * 3.2.\nAnswer: -0.247104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 45*c**2 - 69*c - 64. What are the prime factors of p(-32)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1482\/91 - (-6 + 23).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 18*f - 20. Let k be g(17). Let s = k - -63. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394423198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1433, 2867, 4301, 5735, 7169, 8603?\n\"Answer: 1434*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0\/1 - 16). Let d be (j - -17)\/((-2)\/(-6)). Solve -r - 2*f - 2 = 0, f - d = 4*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 745 (c) 26 (d) -0.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1528411, -3056781, -4585151?\n\"Answer: -1528370*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**2 + c + 1. Let s be t(-1). Solve -z = -5*z + s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -839 divided by 4\nAnswer: -839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxa when three letters picked without replacement from {a: 14, x: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2904.5 and -4.6?\nAnswer: 2909.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3629*q**2 - 84476*q - 864133230 wrt q?\nAnswer: -7258*q - 84476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/5 and 20\/(-160) - 1\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 15, 8*t + 19 = -197*g + 198*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4399 and 49\/265.\nAnswer: 21995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a**2 - 13*a + 17. Let x(k) = -4*k**2 + 3*k - 4. What is 2*s(o) + 9*x(o)?\nAnswer: -4*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12479 + 16756. Calculate the least common multiple of 2303 and g.\nAnswer: 29939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 + 119 + 55*z**2 - 26*z**2 + 116 - 24*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 30*d - 73. Let p be b(12). Let w(j) be the second derivative of -7*j**5\/10 - j**4\/12 + j**2\/2 - j. Calculate w(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**44*w*w**(-14)*w**14*(w\/(w\/w**(10\/11)))\/w assuming w is positive.\nAnswer: w**(494\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + (sqrt(162)*1 - sqrt(162)) + 3 + (-5 + 0 + sqrt(162) + sqrt(162) - (sqrt(162) - (-2*sqrt(162) + 5))))*-2)**2.\nAnswer: -72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28\/163 + -3133\/3586. Let g(o) = 4607*o**2 - 1. Let c be g(-1). Let r = 18517\/4 - c. Find the common denominator of x and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -793 (b) 1 (c) -18754\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/12 - 2819*j**2. Let b(w) = -4*w + 1. What is -3*b(o) - 5*k(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -10*3\/6. What is the nearest to 3\/4 in y, 5, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 2 (c) 0.47 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*g**2 - 67*g**2 - 66*g**2 - 139 - 3 + 3 - 2*g**2 + (-g + g + g**2)*(1 - 2 + 0) + 2*g**2 - 3*g + 3*g to the form b + w*g + k*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/20 + x**4\/12 - 2*x**2 + 10*x. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 168 = -31*l. What is the lowest common multiple of 187 and l?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - (-10)\/25. Let s = k + 12. What is the remainder when 58 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2598.46 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13930 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3) + 10\/(-8). Suppose 31*r - 730 = 19*r + 68*r - 58. Which is the closest to w? (a) -0.1 (b) r (c) -5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2 + -3. Let w = -0.89 + 41.89. Let h = -29 + w. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = 4*h + 5*x, 4*h - 5 = x. Solve h*q - 5*q = 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301*j**4 - j**3 - 3*j + 18 wrt j.\nAnswer: -3612*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3986380, -3986371, -3986350, -3986311, -3986248, -3986155?\nAnswer: -3986026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-2 - (-1012)\/483)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -26*b**2 + 513*b + 4778. Determine t(-9).\nAnswer: -1945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3)*-2)**2 - sqrt(3)) + -3 + -1 + 4 + sqrt(75) + 1 + (sqrt(243) + -1*sqrt(243) + sqrt(3))**2.\nAnswer: 4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 - 24*x**4 + 164*x**3 + 24*x**2 - 160*x = 0. What is x?\nAnswer: -10, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -23*c**3\/6 - c**2 + 6395*c. Determine z(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 0\/(-3)) + -6. Let r be (-2*h\/(-2))\/(-1). Suppose -i = -r - 32. What is the remainder when i is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-3)*r*r*r)**(-30))**(1\/10))**44)**(-10) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37856 and 50362.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(1008) + 1 + sqrt(1008)*1 + sqrt(1008) + -3 + sqrt(1008) + ((sqrt(1008) + -1)*4)**2.\nAnswer: -336*sqrt(7) + 16142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81008 is divided by 117.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6073*-0.2.\nAnswer: 0.52146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 50. Let q = 142 + n. Let a(v) = 10*v**2 + 2*v - 1. Let r be a(1). What is the highest common factor of r and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 18.87.\nAnswer: 18.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28266 - 21*p**2 + 28264 - 56530 - p.\nAnswer: -21*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/sqrt(160) + sqrt(1050) + sqrt(1050)*1)\/((-4*1*sqrt(384) - sqrt(384)) + (sqrt(384) - (-2*sqrt(384) + sqrt(384))*-6))*6.\nAnswer: -123*sqrt(7)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32552733?\nAnswer: 3, 10850911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.4560337mg in nanograms?\nAnswer: 456033.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*r + 2 + 88 = 0, -2*x + 71 = -5*r. Suppose -w - 17 = 4*n, 4*w = 2*n - 3*n - x. Let t be 2 + -2 - 1 - n. Solve -y = -2*y + t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12906 and 2142396?\nAnswer: 2142396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.08, -8, 4, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (10 - 7) + -6 - -14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 498 + -495. Solve 0*f - 36 = 4*p - 4*f, i*f - 11 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - l - 2*l)*(-3*l + 2*l - l)*(-2*l - 2*l - 6*l) - l**3 + 1 - 1 as f + q*l**3 + d*l**2 + c*l and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 9:27 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 46, -15, -0.11, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 222*d**2 + 482844*d - 13061. Give s(-2175).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9 and -23\/860.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {s: 1, v: 2, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 15 + 21. Let w(q) = 2*q**3 + 6*q - 6. Let h(p) = 12*p**3 - 7*p**3 - 4*p**3 - 5 + 5*p. What is a*h(d) + 5*w(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 + -73. Let f = -993453.00052 + 993486. Let w = c - f. What is w rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1763*a**3 + 14*a**2 - 54*a + 3. Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/154*-11*5\/(-9)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**3 - 3*k**2 + 3*k - 3. Let j(q) = 4*q**3 - 2*q**2 + 2*q - 2. Suppose 5*s + 3*o - 14 - 2 = 0, 3*s = 3*o. What is s*x(p) - 3*j(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2650222625 to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wzwwkqwqw.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/112 + 5*r. Factor s(f).\nAnswer: 3*f**5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2. Let x(p) = -390*p**2 + 6*p + 48. Let c(a) = 780*a**2 - 13*a - 104. Let s(n) = -6*c(n) - 13*x(n). Calculate h(s(i)).\nAnswer: -152100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -342627*o + 77*o**2 + 342627*o - 2*o**3 as x*o + d*o**2 + a*o**3 + n and give d.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 30, -26, 3, -458 in increasing order.\nAnswer: -458, -26, 3, 30, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(240\/(-28800))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1274516307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3591751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 3*g + 42 - 96 = g, 2*i = 4*g - 24 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 7*n**5\/60 - 5*n**3\/3 - 3*n**2 - 29. Does 11 divide y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*p, 0 = -2*r - 2*p - p - 20. Let s = -8 - r. Solve -w + 10 = -5*l - 12, 0 = 3*l + 2*w + s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -32*n + 963. Give g(29).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 135. Is w greater than or equal to 98\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulx when three letters picked without replacement from uxrllrlxl.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 3*a + 37, -4*a = -4*k + 28. Suppose -r + 22 = k*l - 3*l, 64 = 4*r - 4*l. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-2\/25)*t)\/t)**18)**(-43) assuming t is positive.\nAnswer: t**(-17802\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let n be (-1)\/(15\/6)*-10. Give x(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 440067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14004813 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 0.1\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/104 and 23\/1742?\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 112013323 (base 4) to base 14\nAnswer: 2504b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6\/11, -6\/17, 0.01, -25\/7, -1, 0.1?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = 0, -2*u = -3*k - 2*k + 19. Suppose k*l = -2*l + 210. Suppose 5*x - 98 = l. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-54)\/(-16))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*p**2 - 2)*(247 - 93 - 93 - 84).\nAnswer: 46*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2705664.952 rounded to the nearest one thousand?\nAnswer: -2706000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.71 + 2248\nAnswer: 2246.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**4\/24 + 4*d**2 + 43*d. Let g(y) be the second derivative of 2*y**3 - 19*y**2\/2 - 3*y. Give v(g(t)).\nAnswer: 12*t - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 23*l**6\/30 + 7*l**5\/15 - 42*l**2 - 2*l. What is the third derivative of t(p) wrt p?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24470965\/42 - -582669. Let d = -190\/7 + r. Sort -35, -1\/3, -0.5, d in decreasing order.\nAnswer: d, -1\/3, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)\/(-1 - 0). Suppose -3*a - 774 = -5*y, -y + 4*a + 110 + 38 = z. Is 1 + 3 + -3 + y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67848149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225\/8 - 28. What is the second smallest value in w, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -20*s**3 + 2*s**2 - s. Suppose 2*t - 4*v + 434 = 0, 0*t + 210 = -t - 5*v. Let i = t - -216. Calculate g(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581755374 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2968*t - 7 = 71*s - 70*s - 2971*t, -51 = 4*s + 9*t + 2*t for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115579149 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 4. Let t(s) be the first derivative of 227 - 242 + s - 2*s. Give -p(j) + 4*t(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 3*g + 150. Calculate the smallest common multiple of 140 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, v: 4, z: 2, j: 1, g: 4}. What is prob of sequence vy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 8*c**2 + 5*c - 5. Let w(x) = 2*x**3 - 5*x**2 - 4. Let b = 136 - 133. Calculate the remainder when y(-7) is divided by w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -6 + -17 + 7 - 25.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1264, 1266, 1274, 1294, 1332, 1394?\n\"Answer: t**3 - 3*t**2 + 4*t + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*p + 2*z = -504*p + 6, 0 = 5*p - z - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:50 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 459 = -9*s. What is the remainder when 151 is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 2, 0.98, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324321 equal to 4324340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/28987 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 166348 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-2*m - 4 + 4).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*o + 181*o - 5*o)*(-8*o + 8*o + 12*o**2) in the form w*o**3 + x + y*o + k*o**2 and give w.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8 - 6 = 4*g, 4*g = -3*z + 14. Solve 4*c - g*n - 2 = 10, 0 = 5*c - 4*n - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/3 + 4550*j**2 - 3579375*j + 620010000.\nAnswer: -5*(j - 1245)**2*(j - 240)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1079952.3799976 + -1079952. Let s = m + -0.38. Round s to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370198 = -48*w + 188186. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -199*z**2. Let i(l) = 3*l**2. What is q(i(s))?\nAnswer: -1791*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 20*w + 8. Let v(y) = 8*y - 28. Let m be v(9). Suppose 3*q = -16 - m. Let k be u(q). Solve 4*c - n + k = 3*n, -22 = -c - 5*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 19. Let c be x(11). Calculate the highest common divisor of 33 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(605)*-2)**2.\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 8*u**2 + 6*u + 9. Let w be a(-7). Let o = w + -17. Which is smaller: -4\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5559 + 1519 - 4050)*(2*b**4 + 0 + 0).\nAnswer: 6056*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -74 - -222 - 152 - (-1 + 0 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-4\/3)\/u)\/u*u*u)\/u**8)**21)**(1\/26) assuming u is positive.\nAnswer: u**(-98\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 75*z**3 + 4 + (0*z**2 + z**2 + 0*z**2)*(0*z - 2*z + 4*z) + 2*z**3 - 6*z**3 - 3*z**3 in the form a + q*z**2 + b*z**3 + o*z and give b.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -a2438?\nAnswer: -a2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 455241?\nAnswer: 455241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - v = 1, 3*b + 4 = 3*v + 19. Let q be (-90)\/(-40)*(-8)\/(-1). Calculate the greatest common divisor of b and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004671009 to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 372157023 and 372157024 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 17*g + 176. Calculate z(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 92 = -4*g, -n + 59 = 2*g + 28. What is the highest common factor of g and 324?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (56\/(-140))\/((-2)\/780). Let o = l - 14. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 195819292943*k**4\/3 + 22519623343433*k**3\/3 + 15511867452*k**2 + 32054704*k\/3 + 7360\/3 = 0. What is k?\nAnswer: -115, -4\/5807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 171734603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:37 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.8, 5, 1, 1\/6, -5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 + 165 = 33*m - 1352 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-179)\/(-1) - -4 - -5. Suppose -17 + q = 9*d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 1. Let x(i) = -25*i**2 + i - 3250. Determine x(c(z)).\nAnswer: -400*z**2 - 204*z - 3276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 32*b + 3. Let x be n(-10). Calculate the highest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248\/11 equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 496 divided by 5\nAnswer: 496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335440 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -632*d**2 + 2*d + 1. Let v be h(-1). Is ((-6)\/18)\/(1\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**3 + 72\/5*t**2 + 24\/5 + 76\/5*t = 0?\nAnswer: -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by 4.\nAnswer: -137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 18*h**2 - 74*h - 16. Calculate c(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6456)\/9)\/(-4)*(-3)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69360882.6 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 438460 divided by -44?\nAnswer: -9965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + 1044 + 4*u**3 - 525 - 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6815875um?\nAnswer: 681.5875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 280847012552233 less than 0?\nAnswer: -280847012552233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21627260 and 159480.\nAnswer: 389290680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7*(-12)\/28 - -821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, f: 5}. Give prob of sequence wf.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n - 21 + 21)*(7 - 2 - 3) + 0*n + 0 + 2 + 4*n + n - 2*n + 0*n as y + c*n and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**4 + 331*k**3 + 2943*k**2.\nAnswer: 144*k + 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19503?\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 10*j - 10. Let o be k(8). Suppose -d + o*d = 205. Let s = 13 - -1. Calculate the remainder when d is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (86\/12)\/(9\/162). Solve s*w = 115*w - 60 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - c**2 - 5*c**2)*(3*c + 3*c - 5*c) + (-11*c**3 + 14*c**2 - 14*c**2)*(-1 - 5 - 1).\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471885621.\nAnswer: 3, 4561, 34487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.57 + 317.63. What is o rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*t - 51 = -3*t, -3*y + 39 = -t. Let r be (-10)\/8 + 3\/y. Let c = 1 + r. Solve -f = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - 6*t**2 + 4*t - 3. Let n be u(4). Let c = n - 122. Suppose j - c = 55. Does 31 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -22 - (-2 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -b - 475, 6*w - 2375 = w - b. What is the highest common factor of 570 and w?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.038 - 0.298. Let m = y - -0.26000096. Round m to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from {p: 1, d: 3, h: 1, s: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -404.5 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28459, -29534, -30609, -31684, -32759?\n\"Answer: -1075*m - 27384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*d + 32*y - 27*y, -y = 3*d - 6. Suppose -4*q + 5 = 4*v + 13, 2*q = 0. Sort d, 0, -8, v in descending order.\nAnswer: d, 0, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - sqrt(121)*-1)*1)\/(1*1*sqrt(11)))**2 + 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2279*u - 307635. Give x(135).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-3))\/((-4)\/6). Suppose u + 6 = 4*z - 51, 69 = o*z + 3*u. Solve -4*a = 2*k - 0*k + 20, 3*a = 2*k - z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + 32005?\nAnswer: 32032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282076.\nAnswer: 2, 97, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -657 - -201. Let c = f + 721. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-18) + (1 - (-22)\/(-18)). Let q be -9 + -10 + -3 + 2. Let y be ((-2)\/21)\/(q\/90). Which is the biggest value? (a) y (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-379 - -481) + (-5 + 0 - 11).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.05 + -1.05. Which is the closest to h? (a) 0.1 (b) 5 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 25*p + 38*p. Let j(a) be the first derivative of -10 + 0*a**4 + 5\/18*a**6 + 0*a + p*a**2 + 0*a**3 - 1\/3*a**5. Factor j(x).\nAnswer: 5*x**4*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 + 52*w - 855\/2 = 0 for w.\nAnswer: 9, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 2932\/918)*6\/(-4). Let w = 47060\/17 - 2769. Let c = w + b. Are 0 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.436013 litres?\nAnswer: 436.013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-45))\/((-1)\/(-6)). Let p(s) = 10*s. Let i(o) = o. Let u(y) = f*p(y) + 45*i(y). Let t(j) = j**2. Determine t(u(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4949661 * -34.\nAnswer: 168288474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 3*i + 10, 5*i + 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 + 66*d\/5 - 884\/3.\nAnswer: -2*(d - 65)*(d - 34)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 34. What is the third biggest value in 2\/9, d, 0.5, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38803 is divided by 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449681?\nAnswer: 383, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 - 115*f**2 - 230*f - 113. Let y(d) = -5*d**3 - 115*d**2 - 231*d - 113. Let x(w) = 4*o(w) - 3*y(w). Factor x(c).\nAnswer: -(c + 1)**2*(c + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133044 (base 5) to base 14.\nAnswer: -1d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 7. Determine y(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Find the first derivative of 56*a**2*w**4 - 7*a**2*w**2 + 1289*a**2 wrt w.\nAnswer: 224*a**2*w**3 - 14*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c**2 - 1 + 2*c + 0*c - 3*c. Let i be t(-1). Suppose -3*g = 5*w - i - 2, 2*g + 9 = w. Solve 4*q = -15 - w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 23*q**2 + 69*q - 10. Determine i(-25).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2582760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**16\/(t**(2\/7)*t**9) assuming t is positive.\nAnswer: t**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q - 6. Let r be o(-4). Suppose 2*h + r = 11*h. Let d(z) = -4*z - 1. Let p(t) = -3*t. Give h*d(f) - 3*p(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbfpplffpplf. What is prob of picking 2 p and 1 f?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 - 12 - ((-572)\/(-231) - (-1)\/(-7)). Which is the closest to 0.2? (a) 3 (b) 0.2 (c) x (d) 37\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1700))**2 + -3 + -2 + 0.\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (22 - 1))\/(2\/10). Let f(x) = x**2 + x - 1. Let l(w) = 72*w**2 + 90*w - 90. What is o*f(g) - l(g)?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 143\/5 (b) 0.8 (c) 3 (d) 2\/17 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 230 in -2, 0.2, 1809?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*v - 1840466 - 144945 = -200771. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85989*o - 92 + 174174*o + 92.\nAnswer: 260163*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3379744, 6759373, 10139004, 13518637?\n\"Answer: h**2 + 3379626*h + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 376 = -2*i + 416, -3*i + 39 = 3*g for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 45*l + 221. What are the prime factors of a(85)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + 1 - (-1 + (7 - (1 - -4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04399? (a) 4 (b) 63 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/3 + 555596*z\/3 + 38585864402\/3 = 0. What is z?\nAnswer: -138899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 33, 43, 47, 39, 13, -37?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.409999213 + 3.41. Round x to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364*-0.2\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**4)\/u**(2\/15))\/(u**(-2\/37))**46 assuming u is positive.\nAnswer: u**(4081\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3206c78 (base 13) to base 9.\nAnswer: 31605038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -h + 85, 124 = -5*p - 3*h + 338. Solve -29*m = p*m + 420 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*m**2*n + 5*m**2 + 3*m*n + 118*m + 2*n**3 + 35*n + 2 wrt n?\nAnswer: 7*m**2 + 3*m + 6*n**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Suppose -c - c = -2*b - 4, 4 = -c - 2*b. Let n be q(c). Solve -3*l - l = n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) -117 (c) 4\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 20*x**2 - 5. Determine l(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0 + 3)*(-15)\/(-2). Suppose -x = v - 6*v, -93 = -3*g - 5*v. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 196 = -4*u - 5*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 182\/4 + (-3)\/6. Suppose 0 = 2*q - 119 - m. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1642, -3078, -4104, -4516, -4110, -2682, -28, 4056?\n\"Answer: 34*q**3 + q**2 - 1677*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*d + d = 3293, 6619 = 4*r - 5*d. List the prime factors of r.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:52 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1201221201122?\nAnswer: -1201221201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006662 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 725 + -792. Which is bigger: -66 or k?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 2*z = 3*n + 10295, 5*z + 2032 = n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnhhn. Give prob of sequence nhnh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78948 and 34228?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*a + 48 - 544 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 25 + 79 - 30 - c**2 - 883*c to z*c + y*c**2 + d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.00305.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/27 - 46\/(-3). Suppose -2*j = -r - 0. What is the highest common divisor of 88 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/16*(-15)\/((-45)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*h - 5*h - 17*h + 1)*(2 + 5*h**4 - 2).\nAnswer: -15*h**5 + 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-13)\/(-6) + 40\/120)*(-2 - -36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from {t: 18, d: 2}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, -27, -0.6, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 8*i - 4, 3*i - 80 = f - 81 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**6\/360 + n**5\/15 - 3*n**4\/4 + 5*n**3\/6 - 8*n**2 - 8*n - 4. Let y(f) be the second derivative of j(f). Determine y(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54975, -54974, -54973, -54972?\nAnswer: -54971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = -6. Let y be 0\/(6\/(2\/1)). Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 1\/713 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*((-7)\/5)\/((-14)\/(-28)). Let x be 30\/(-9)*9\/(-2). Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389179504 to the power of 1\/3, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1100)*2 + 2)*1 + -4 + 1 + (1*sqrt(1100) - sqrt(1100) - sqrt(1100)) + -4)**2.\nAnswer: -100*sqrt(11) + 1128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*(c\/(c*c*c**(3\/7)))\/c)\/c*c))\/(((c\/c**(-3\/5)*c)\/c)\/c*c)*(c\/c**(-1\/2))**(-21) assuming c is positive.\nAnswer: c**(-2077\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 9. Let g be d(6). Let l(t) = -t**2 - 7*t + 21. Let k be l(-9). Suppose -2*o = -5*i - 7 - 1, 21 = g*o - k*i. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/2 - ((-1949574)\/(-1386))\/109\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126077803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034321 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 + 68*j**3 - 52*j**2 - 836*j + 816 = 0. What is j?\nAnswer: -17, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3027 = -4*t + 5*x, t - x + 3*x - 760 = 0. Suppose 4*k - 2*q = t, -3*k + 4*q + 389 = -167. Let m be (-4 - -1)\/(18\/k). Do m and -32 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3840 + -3849. What is the nearest to 2 in 4, r, 1\/3, 1\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 485201*k + 13585618. What is w(-28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3*f + 4. Is f greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 12*b - 15. Put 0, -1, b in increasing order.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000218667441 to 6 decimal places.\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.808612l to millilitres.\nAnswer: 1808.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/27 = 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 - -277. Let s = 143\/4 - 36. Put s, i, -2\/11 in descending order.\nAnswer: -2\/11, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, -18, -2 in decreasing order.\nAnswer: 5, 4, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20988, 167963, 566832, 1343523, 2623964, 4534083, 7199808?\nAnswer: 10747067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1710948?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 5:38 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/5)*y*y)\/y)\/y)**(-16)*y**(-2\/5)\/((y\/y**(-2\/21))\/y*y)*(y**1)**(-11)\/(y**5\/(y*y**2)) assuming y is positive.\nAnswer: y**(-2194\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307.71 - 141.64. What is v rounded to 0 decimal places?\nAnswer: -449","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0012951 and 2.\nAnswer: 2.0012951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20216191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 4, x: 7, e: 5}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 57 + -6 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466004 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 1, 33 in increasing order.\nAnswer: 0.8, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*k + 117. Let f = -24 - k. Solve 2*p + 4 = 5*n, 0*p = -5*p - f*n + 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 19*j + 18*j**2 - 6*j - 13*j. Let i(n) = 8*n. Calculate o(i(m)).\nAnswer: 1152*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0679 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159507479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 2*t**2 - t. Let a(d) = -11*d**3 - 4*d**2 - 4*d - 3. Let w(v) = -a(v) + 5*o(v). Let n = 10 - 4. Give w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 16*w + 4. Let u be f(4). Suppose 0 = u*t - 12, 4*t - 12 = n - 55. Suppose -3*o + 2*o = -n. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2 and (166\/(-2))\/(11 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 + 6*t + 4. Suppose 14 = -2*w - 0. What is the tens digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 182624326.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 8021?\nAnswer: 8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*d - 3678 = 69*d. What are the prime factors of d?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)*-1*0. Which is the nearest to -1\/4? (a) 4\/7 (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g - 335. Let r be q(-3). Which is greater: -713\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2335.2587 rounded to the nearest integer?\nAnswer: -2335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)\/(8\/(-132)). Let q = -24 - f. Find the second derivative of 351 + 5*t - 351 - q*t**2 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 126 = 14*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 3*q + 1. Let v be y(2). Suppose -11 - 4 = -v*n. Let m = 0 - 5. Put m, -4, n in decreasing order.\nAnswer: n, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 64*a**2 + 96*a**2 - 5.\nAnswer: 160*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 68 - 56. Solve -y*k - 5 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 330, 269, 176, 45, -130, -355?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37c8 (base 13) to base 7.\nAnswer: -32100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 3*d**2 + 0*d**2)*(-3 - 27 + 2)*(-1 - 7 + 5) in the form o*d + h*d**2 + v and give h.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9922 - -9921.7. Which is the nearest to u? (a) 0.5 (b) 116 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 464 + 600. List the prime factors of d.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = -b + 4*z, -5*z - 29 = -b. List the prime factors of 109*1*b\/2.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 6, o: 2, l: 2}. What is prob of picking 1 i, 1 o, and 1 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23154 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1062, 2114, 3166, 4218?\nAnswer: 5270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 125235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b = -272 - 491 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(2 + 2 - 5)*(71*n - n - 11*n).\nAnswer: 59*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/34 and 51\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -702 + 701. Let l(o) be the third derivative of 0*o + 1\/6*o**3 - 5*o**2 - 11\/120*o**6 + 1\/60*o**5 + 0 + 1\/12*o**4. Calculate l(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*w = -232, -201*w = 4*c - 204*w - 238. What is the greatest common factor of 3 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-306)\/126)\/(2*2\/(-28)). Let k = 14 + 0. Is k at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 - 5*v - 2. Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/113 in -2\/13, -0.4, 4, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**2*p**2*u + m**2*p*u + 3*m**2*u - 83*m*u - 6*p**2*u + 150*p**2 + 18*p*u wrt p?\nAnswer: -12*m**2*u - 12*u + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10800538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -165, 7, -2 in ascending order.\nAnswer: -165, -4, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 145*j + 6353. Give w(-43).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-96)\/(-10))\/2)\/(33\/(-44)) + 20\/5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = 8*m - 555. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131.15 take away 111339.1?\nAnswer: -112470.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 + 22 + 468*k**4 + 6587*k**4 + 44 + 10 + 28*k wrt k?\nAnswer: 84660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - 2*1*sqrt(76)))\/(1*sqrt(16)\/sqrt(4)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.11. Let t = -666 - -666. Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.229864 to 1 decimal place.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5180 = -10*t. Let k(v) = t + 25*v - 740. Let q(p) = -p. Give q(k(s)).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/8 in 8, -2\/3, -3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2. Suppose o - 2 = 1. Suppose 2*t - 3*h = -2*h + o, 4*h - 12 = 0. Let z(k) = -t*k + 3*k + 2*k + 0*k. What is z(r(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssvssvssvvssssssss. What is prob of picking 1 v and 2 s?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19*(0 + 12\/(-10)). Let x be 1202\/(-42)*8\/10. Let y = x - k. Put y, 0.4, -1\/3 in descending order.\nAnswer: 0.4, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014 + -24401430?\nAnswer: -24402444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = 8581 + 11318. Let h = -735 - c. Solve -2*k = -5*b + 2*b - 1, -2 = h*b - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 0.4, 264, -2\/19, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999465686 to the power of 1\/3, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16162950*u**3 + 17*u**2 + 5*u + 11424?\nAnswer: 96977700","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 5*k - 10. Let q(c) = 0*c - 3*c - 21*c**2 + 20*c**2 - 5. Let v(y) = 5*q(y) - 3*x(y). Find the first derivative of v(t) wrt t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2672*u**2 - 10884871*u + 10884871*u)*(-4 - 1 + 2*u + 6) as f*u + k*u**2 + l*u**3 + m and give l.\nAnswer: -5344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:57 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693641.\nAnswer: 13, 229, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3*c**2 + 2*c - 2. Let y be x(3). Suppose 0 = -0*a - y*a + 96. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1185*z - 1. Let j(p) = -p. Determine j(v(r)).\nAnswer: -1185*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (9 - (-12 - -17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 165 = -17*i + 2*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 2:17 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4201\/5 + -3 + (-42)\/(-15). Suppose 0 = 3*u - 11*u + d. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 - 193*h**3 + 85*h**2 + 184297*h wrt h?\nAnswer: 12*h**2 - 1158*h + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuguuuuuuuuu. What is prob of picking 3 u?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045864 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44196 is divided by 44186?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 10396.\nAnswer: 72772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 42*r = -32. Is r less than -100\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1987420581 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let z(b) = -11*b**3 + 4*b**2 + 1 + b - 4*b**w + b**2. Let a be z(-1). Solve -2*f = -5*t - 12, f + 4*t = 5*f - a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m + 1 = -h, 2*h - 4 = 4*m. Suppose 2*s - 15 = -6*z + z, 5*z + 45 = h*s. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/360 + q**5\/20 - q**4\/4 - 427*q**2 - q. Factor d(c).\nAnswer: -c*(c - 6)*(c - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -103, -135, -151, -145, -111?\n\"Answer: c**3 - c**2 - 46*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 15*c**2 - 2*c - 21. What is the least common multiple of 8 + -3 - (-1 + 3) and g(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2563 - 2561. Put 11, j, -0.1, -0.01 in decreasing order.\nAnswer: 11, j, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*g - 5*o + 139088000 = 184*g, -3*g = 5*o - 104316000. What is g rounded to the nearest one hundred thousand?\nAnswer: 34800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v - v)*(-6558*v + 2182*v + 248 + 2197*v + 2183*v) in the form i + m*v**2 + b*v and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -851 + 854. Solve -5*u + 5*i = 0, -59*u - w*i = -64*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209221213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1228977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.018kg in grams?\nAnswer: 145018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r + 6. Let i(f) = 5*f - 5*f**2 + 0*f**3 + 2*f**3 - f**r. Let m be 34\/8 + (-2 - 14\/(-8)). Give i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545596402 to the nearest integer?\nAnswer: 23358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859262?\nAnswer: 2, 429631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -2*j - 122280000. What is j rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose i*b - 56 = -t, -4*t + 307 = -b + 128. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 99. Let j = w - 36. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 4. Let g be 14\/1 + 6\/(-6). Suppose 18*a - g*a = 25. Suppose 0 = -a*h + 10 - 35. Give u(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -647987, -2591937, -5831843, -10367705, -16199523, -23327297, -31751027?\nAnswer: -41470713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73.19252 millilitres?\nAnswer: 0.07319252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7435.\nAnswer: 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1)*(-50)\/(-20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -591 + 77*p - 1128*p + 1177 - 589 - 3569*p**2 - 147*p wrt p.\nAnswer: -7138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 13. Give z(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, -20, 3\/2, 0.07?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16108\/45 + -3242\/9. Calculate the common denominator of ((-6)\/44)\/(9475\/(-680) - -14) and h.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/14)\/((-2)\/(-7)). Let p = 0 + -2. Let n = p + g. Solve -3*u - 5*f = u + 21, 2*u - 2*f - 12 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 72*k + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {r: 2, e: 3, j: 3, a: 1, w: 2, h: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y - 15. Let n be z(-5). Sort n, 0, 4.\nAnswer: 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -21, -31?\n\"Answer: -10*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*u - 2*u + 6, 3*u + 3 = -3*m. Let v be u\/(1\/(-3)) + 2. Sort -4, v, 2 in decreasing order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 8 = 3*w. Let c = -5 + w. Let p = 5 - -5. Calculate the least common multiple of p and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 5\/6, -3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 2, d: 6, c: 3}. What is prob of picking 3 d and 1 s?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - -15.01. Let s = -33 - -483. Let v = -452 + s. Which is the third smallest value? (a) 5 (b) z (c) 0 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/253 + (-20354)\/(-22). Let i = j - 841. What is the remainder when i is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2278*w + 2564*w + 5536*w.\nAnswer: 10378*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4200)\/(-560)*(-160)\/(-24)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1102 and 77710?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1480 + 1472. Let b(p) = 12 - 8 - 2*p - 11. What is b(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111011010111100010 (base 2) in base 9?\nAnswer: -850140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + k = 2, 4 = a + 2*k. Let n = -6.3 + 0.3. Put a, -3, n in ascending order.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 - 3*r**2)*(-r**3 - 1 + 1) + (-3 - 1 + 2)*(3*r**5 + 0*r**5 - 2*r**5) - 22*r**2 - 4*r**5 + 22*r**2.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let t be (g - -1) + (2 - 2). What is the second derivative of 3*s + t*s**5 + 0*s**4 - 5*s**5 + 0*s**4 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/90)\/(8\/(160\/(-12)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 39 - 9 = 0. Is 49 a factor of (p\/((-100)\/(-936)))\/((-3)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -31*p + 3. Let v(o) = -31*o + 3. Give 6*a(q) - 5*v(q).\nAnswer: -31*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 518717966*p**4 + 265*p**2 + 28508 wrt p?\nAnswer: 12449231184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 9. Suppose -11*k - 161 = -m*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 - l + l as x*l + g + w*l**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 - 57*f**4\/5 + 187*f**3\/5 - 111*f**2\/5 - 252*f\/5 + 108\/5 = 0. Calculate f.\nAnswer: -1, 2\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011000000011101000 (base 2) to base 5.\nAnswer: 1144014401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190364298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8 - 0. Let w(h) = 1 - 3*h**3 + 4 + h - 4. Let f be w(-1). Solve s*o = o - f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*r**3 + 20*r**3 + 14*r**3)*(r**2 + r**2 + r**2).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 789340 or 1\/2?\nAnswer: 789340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/126*(-10)\/15.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.388052 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 3*q + 112, 2*d + 33488 = -d + 2*q + 33404 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 16524.\nAnswer: 33048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 3513110*n**3 + 3513115*n**3 - 6405*n**2 - 1 - 12830*n.\nAnswer: 5*n*(n - 1283)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -444646 - -628043. Suppose -c - 76603 = -5*p. Round p to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 126 = -0*a. Let f = 17 + a. Suppose -5*n = 2*o - 140 + 40, n + f*o = 20. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127085 or 1?\nAnswer: -127085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-217 + -7)\/(-4)*17\/136. Solve -3*j = 4*r - 23, -6*j = 6*r - 7*j - h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134842*v**2 + 96628*v?\nAnswer: 269684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s + 1. Let q be b(-2). Let w = 33 - q. Suppose 3*g = 3, w*g - 2 = 3*f + 2*f. Put -3, 1, f, -1 in descending order.\nAnswer: 1, f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 26 = -o + 5, 0 = 4*s + 4*o - 60 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 966 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 104 = -64. Let i(b) = -5*b - 43. Let v be i(-9). Suppose v*m - 264 = a. Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**2 - 72468. Let a(j) = -j. What is a(p(l))?\nAnswer: 7*l**2 + 72468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*b**4 + 3*b**2 + 14*b + 1875?\nAnswer: 68*b**3 + 6*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1007941, -4031764, -9071469, -16127056?\n\"Answer: -1007941*k**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -344, -955, -1554, -2135, -2692?\n\"Answer: t**3 - 618*t + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 376255187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000000101010 - 0?\nAnswer: 1100000000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10 and -34\/38049.\nAnswer: 380490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -45*k + 542. Let v be x(12). Solve -5*q + c = -v - 0, -2*q + 4*c - 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + 56183\/(-20592). Let w = -7\/477 - -1054\/68211. Let y = w - k. Find the common denominator of -47\/14 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121073216 divided by 5503328.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 0*v**3 + v**3)*(30*v + 0 - 32*v + 1).\nAnswer: -6*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -122?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908384 a multiple of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 95*i + 30. Let b = -207 - -208. List the prime factors of r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2 - 626\/2. Let d = j + 86. Let m = d - -337. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/115051 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, j: 1, l: 1}. What is prob of sequence tjl?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2151*d - 6181*d + 30921 + 29529 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -71.949*-8\nAnswer: 575.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - ((-172)\/48 - -3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187) + (sqrt(2187) + sqrt(2187) + 2 - sqrt(2187)))*-5)**2 + 1 + -3.\nAnswer: 5400*sqrt(3) + 218798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.382357 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25737 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = 0, 4*a + b = -b + 144. Let n = 7 + -5. Let v(q) = 2*q**3 - 2*q**2 + 2*q + 1. What is the remainder when a is divided by v(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/120 - r**5\/5 + r**4\/2 - r**3 - r**2 - 1006*r. Determine m(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 2*s + 128. Let w(h) = -h**2 - h + 64. Let z(q) = 2*i(q) - 5*w(q). Let j be z(0). Let n be j\/(-48)*3\/(-10). Is 0 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 702428*u + 6*u**2 - 351212*u - 2*u**3 - 351212*u + 1. Let w(x) = -4*x**3 + 13*x**2 + 9*x + 2. What is -13*n(p) + 6*w(p)?\nAnswer: 2*p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 179, -4, -1, 5 in ascending order.\nAnswer: -5, -4, -1, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 600*k - 303*k + 3 - 300*k to the form l + a*k and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 10. Find the third derivative of w*i**2 - 2*i**4 - i**4 - i**2 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 3*l - 3*l. Solve l = 4*h - 3*s + 4 - 2, -6 = -3*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 - 3.59. Let u = p - -0.07. Let r = u - 0.28. What is the closest to -1\/5 in r, 0.4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(448) + (3*sqrt(448) - sqrt(448))) - sqrt(448))**2.\nAnswer: 44799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -666, -1001, -1336?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85256.47 millilitres in litres?\nAnswer: 85.25647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:55 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-3 + 4)) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*c = -1372*c + 689*c - 8 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 11306*o + 45256.\nAnswer: -2*(o - 5657)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48473544 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730685415.\nAnswer: 3, 5, 17, 2865433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.869707 + 0.055.\nAnswer: -3.814707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.81857 rounded to 0 decimal places?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-100)\/2*224\/(-35). Suppose 0 = -10*d + 2*d + h. What is the remainder when (-44)\/(-10) + 2*(-8)\/d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1484 - -761. Let o = x - -722.693. Let b = -0.3 - o. What is b rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, 278, -3 in descending order.\nAnswer: 278, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 16 - 25 - 18*h + 60.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 - 12*c + 12*c + 24*c**2.\nAnswer: 41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 273067419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523 (base 7) in base 9?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 6. Let t be c(-8). Suppose 2*h - 3*o = 14 - 2, 0 = 2*h + t*o - 12. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.5 (b) 0.1 (c) 3\/5 (d) -2\/7 (e) -35 (f) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*t = -122*t + 265 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 14*m - 8. Suppose y + 7 - 9 = 0. Suppose 12 - 4 = 4*c. Let z(a) = -c*a - 3*a**2 - 9*a - 5 + 2*a + 4*a**y. What is 5*b(t) - 8*z(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 57, 1.48 in descending order.\nAnswer: 57, 21, 1.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*b - 4175, -3*f = -0*f + b - 3135. Let d = 645 + f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 3*r**2 + (-2*r**2 + 5*r - 5*r)*(2 + 0 - 1) + (-21*r + 19*r - 19*r)*(-32 + 32 - 14*r) to the form v + j*r + o*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a. Let x(z) = 7*z - 4 + 4. Let h(o) = -10*i(o) + 6*x(o). Let y(m) = -3 + 10 - 6 - 1 - 2*m. What is y(h(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + 3. Let m = 179 - 177. Suppose 4*s = -2*f + 92, 0 = -5*s + 3*f - m*f + x. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735143.7kg in milligrams?\nAnswer: 735143700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 9*d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1331, 6166, 14225, 25508, 40015, 57746?\n\"Answer: 1612*s**2 - s - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215351 - -42?\nAnswer: 215413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5))**30\/(k**(-1\/3))**(-45) assuming k is positive.\nAnswer: k**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5 = 2*s + 3*n - 14, 12*s + 6*s + 97 = 8*s + 39*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8018 = -119*q - 303*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 711*i - 33396. Give l(47).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 7) in base 5?\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 25 + -5 - -26) + -37.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*g**3*w - 2*g**3 + g**2*w**2 + 114*g**2 + 2*g*w**2 wrt w?\nAnswer: 23*g**3 + 2*g**2*w + 4*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.114827021 rounded to 2 dps?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 39 = -3*n, -3886 = -5*v + 4*n - 3949 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 12:41 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:23 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 35823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13371, -26747, -40133, -53529, -66935?\nAnswer: -80351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9664?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -15566*x**2\/7 + 77824*x\/7 + 30\/7 = 0. What is x?\nAnswer: -3\/7783, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-630)\/(-75)*15\/2. Let l be (-1 + 158\/(-4))\/(v\/(-84)). Let u be 100*(l\/(-4))\/(-3). Round u to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3220 and 4255?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2316480 and 1530240?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183324, -366649, -549974, -733299, -916624?\nAnswer: -1099949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 - 9*q + 6. Let d(k) = -2*k**3 - 11*k**2 - 17*k + 11. Suppose -4*t = -7*t + 33. Determine t*v(f) - 6*d(f).\nAnswer: f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 3. Let q(g) = 5*g**3 - g**2 - 2*g - 1. Let u(h) = 6*h**3 - h - 2. Let i(y) = -5*q(y) + 4*u(y). Let k be i(6). Give w(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -245967*p - 13282207. What is j(-54)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 6*s + 2. Let j be z(-5). Let l = 0.174 + 69.826. Let r = 71 - l. Which is the third smallest value? (a) r (b) j (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 7, s: 2, p: 2, n: 5, e: 3, q: 1}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + g = 15, 7*m - 3*m + 3*g - 25 = 0. Let r be 2\/(-2 + m)*1. Let y(a) = 11*a**2 - a. Calculate y(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 22. Let g(n) = 4*n**2 - 6*n + 4. Let y be g(3). Let q be i(y). Solve -5*b + b + 12 = 5*h, q = b + 4*h - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/92140 and -101\/4.\nAnswer: 92140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 + 97*g**2\/6 - 1301*g\/3 + 2520.\nAnswer: -(g - 54)*(g - 35)*(g - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2010 from -21847.\nAnswer: -19837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3488*v**3 + 3456*v**2 wrt v.\nAnswer: -20928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118123 and 2185?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1278\/25 + -3679\/175. Let p = -72 - w. What is the biggest value in 0.5, p, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89683289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -0.2, -4\/35, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 278054136?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = 27*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcbrmcmbcccborr. Give prob of picking 1 m and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78234 divided by 118?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 51489940, -1 in decreasing order.\nAnswer: 51489940, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 14046, 2\/27, 2\/23.\nAnswer: 2\/27, 2\/23, 0.2, 14046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, 250, 761, 1524, 2539, 3806, 5325?\n\"Answer: 126*d**2 - 119*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16279*l**2 + 4*l. Let k(b) = -3*b**2. What is c(k(z))?\nAnswer: 146511*z**4 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/((-12)\/1440*12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 30*n - 16*n + 39, 0 = n + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*9\/(54\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 89*p. Let v(j) = -576993*j - 3. Give u(v(o)).\nAnswer: -51352377*o - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 131772725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2536 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -26. Let x be -8*((-102)\/8)\/(-3). Let f = u - x. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -95. Let k = -25 - r. Suppose 2*q = -4*n + 182, -k*q + n + 281 = -n. What are the prime factors of q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 62.114. Let s = p - -0.1140102. Round s to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1497*q + 45229 - 45229)*(2 - 4 + 0) + 0 + q + 0.\nAnswer: 2995*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6026.7915 milliseconds?\nAnswer: 0.00167410875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94429 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(5)*-5 + (sqrt(42) - 1*sqrt(6048)))\/(-5*-2*sqrt(6) + (sqrt(108)\/sqrt(2))\/sqrt(9)).\nAnswer: -16*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15232 and 13716535.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -740 in -4, 2\/17, -492?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -2*c + 0*c**5 - 1\/2*c**4 + 0*c**6 + 0*c**2 - 1\/14*c**7 + 0 + 0*c**3. What is the third derivative of d(u) wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(13*-29*50\/(-819975))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*x\/x**4*(x\/x**(-5\/4))\/(x\/(x**3\/x)) assuming x is positive.\nAnswer: x**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95688 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 - 3168208*l + 3168210 = 0 for l.\nAnswer: -1584105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202234332 (base 5) to base 4.\nAnswer: -3020133201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + 11c416?\nAnswer: 11c393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*b - 32 = 0, -3*b = -4*i + 22 + 47 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, 56, 54?\n\"Answer: -2*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/273273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 464, 1897, 4298, 7667, 12004, 17309?\n\"Answer: 484*r**2 - 19*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60509431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -353 - -371. Solve -n = -b*n - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -757?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -5, -34 in descending order.\nAnswer: 12, 1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 13}. Give prob of picking 2 x.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 11*k - 830. Let l be y(-15). Solve v + l = -f, -5 = -f - 103*v + 105*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let d(v) = 5*v**2 + 2*v. Let f(i) = -21*i**2 - 9*i. Let x(r) = -3*r**2 + r. Let j be x(1). Let a(y) = j*f(y) - 9*d(y). Give a(s(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -52298*w**2 + 21*w. Let j(d) = 17433*d**2 - 6*d. Determine -7*j(m) - 2*u(m).\nAnswer: -17435*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 37 = -4*i, 3*i + 16 = -4*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + 0*r**2)*(-142*r - 6 + 3 + 97*r)*(0*r**2 + r**2 + 0*r**2).\nAnswer: 90*r**5 + 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 179*(-8)\/(-724) + -2. Let n = -849\/2534 + l. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*p, -2*n + 31 = 2*p - 29. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 + -3)\/(2\/554). Suppose -a = -9*h + 44910. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 1, u: 10, f: 2, p: 3}. Give prob of sequence hphh.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 12*f - 21. Let x be c(-13). Let t = x + 27. Let u = t + 104. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 x when four letters picked without replacement from fxfmfxfxfmmff.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 8. Let m(h) = 2*h + 3. Let s(w) = 7*m(w) - 6*r(w). Let i be s(4). Solve -i*x = -8 + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**8*z\/z**19*z)\/(z**(-18)*(z\/z**(-3\/10))\/z) assuming z is positive.\nAnswer: z**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 + -2 + 5 + 3. Suppose 4*i = -r + 325, -i + 325 = r - w*i. Suppose r = 5*c + q, 3*c + 6*q = 3*q + 207. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 17*x**2 + 21)*(-8 + 2 - 1).\nAnswer: 119*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/6)*w**(-2\/27)*w)**(-45))**44 assuming w is positive.\nAnswer: w**(-4510\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 421 + 1044. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1460 and 240.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a**2 + 9*a**4 + 38*a**2 - a**3 - 20*a**2 + 2 as c*a**3 + l*a**2 + q*a**4 + m + x*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/13 or -42?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -791*s + 1237 + 3509 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 83, 280, 659, 1280, 2203?\n\"Answer: 10*h**3 + h**2 + 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5401.\nAnswer: 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.68 + 12.68. Put -2, 32, 4, 2, d in descending order.\nAnswer: 32, 4, 2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -8. Let p = -2471 - -2471. Which is the nearest to 8? (a) p (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - -29. Let f(b) = -74 + b**2 + 0*b + c - b. What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-16 - 1460\/(-80))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -348, -1401, -3158, -5619, -8784, -12653?\n\"Answer: -352*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -3\/2, 1.28?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/9283 - 1327481\/55698. Calculate the common denominator of 58\/18 + 12\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 100907\nAnswer: -50453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 + 127. Suppose 42 = -k*l + 13*l. Let y be 38\/133 + 220\/l. Solve 3*m + y = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 6:23 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let y be m(-1). Suppose 3*g - y*h = 425, 4*g + 386 = -h + 938. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 13. What is the remainder when (5\/u)\/((-8)\/(-24)) is divided by (1 - -11)*2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u = -120*u + 21. Let g(f) = f - 3. Let w be g(u). Differentiate z + w - z - 12*z**3 with respect to z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256700 is divided by 1049?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (21 + (14 - 28) - (53 - (-5 + 4))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 21*l - 3*l + 108 - 4*l - 12*l - 3*l as x*l**2 + j*l + r and give r.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.84 - -0.16. Let c = 48 + -142\/3. Are u and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 16*r - 16. Let s be a(12). Let h = s - 32. Let o(b) = -b**2 - 2*b**2 + h*b**2. Let i(k) = -4*k. What is o(i(t))?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1711 + -1718. Let w(p) = 3*p**2 + 3*p - 7. Let q(d) = d**2 + d - 2. Determine g*q(x) + 2*w(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.432 (b) -0.2 (c) 386 (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25351611 (base 7) to base 15.\nAnswer: -30601c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -4, 95923 in descending order.\nAnswer: 95923, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9159 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -110102?\nAnswer: -110032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34223, -68286, -102349?\nAnswer: -136412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 - 5*z + 7. Let p be s(-6). Let c be 2 - (2 + (p - 3)). Solve c*y = 12 - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -32a01?\nAnswer: 329a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - t**4 + 3*t**4 + (-3*t - 2*t**3 + 3*t)*(1 - t - 1))*(-4*t + 4*t - 2*t).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17*h**3 + 2*h**2 - 4*h + 3. Let z(a) = -7*a + 121. Let g be z(17). Is 2 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -60*x - 282, -4*b + 7*b = 24*x - 26*x + 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 17*n**2 + 18*n - 16. What is z(16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4194 + -0.0194. Which is the third biggest value? (a) 10\/7 (b) -3\/7 (c) -1\/5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122002 - 12120200?\nAnswer: -20012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let d be (-3)\/3 - 10\/(-8). What is the closest to d in 4, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/4*1776\/(-3). Let v be (a\/(-4))\/((-9)\/6 - -1). Suppose -6*y + 4 = -v. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z + 1. Determine r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 29. Let p be (-984)\/(-54) - z\/18. Let x = -14 + p. Sort -1, -3, x.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21477.\nAnswer: 3, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -9*h - 4. Let n(r) be the first derivative of -3\/4*r**4 + 0*r**h + 0*r + 2 + 5\/3*r**3. What is the third derivative of n(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -69*s. Let r(l) = 1705*l - 36. Determine z(r(d)).\nAnswer: -117645*d + 2484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/10)\/(1257\/(-4190)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4251723*w**3*z**2 + 3*w**3 - 3890*w**2*z**2 + 3*w*z**2 - 4*w*z - 24*z**2 - z wrt w.\nAnswer: 25510338*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*c + 4*l + 179591, 3*c - 3*l = 107760. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8491 - -18984. Suppose -4*u - 3*u + z = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 38*j + 276. Let a be d(6). Suppose b + 24 = 5*b. Calculate the highest common factor of b and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 11:59 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 1, e: 1, o: 2, c: 1, p: 2, j: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b + 30 = 0, -60 = 4*n - 0*n + 2*b. Which is bigger: n or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 1)\/4 + 3 - -2. Suppose -5*u - 4*n + 17 = -14, 0 = -3*u + x*n - 7. Let a = 0.8 - 0.5. Sort 1, u, a.\nAnswer: a, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3 - 610. Let d(p) = -164*p. Give t(d(g)).\nAnswer: 80688*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/420 - s**4\/28 - 4*s**3\/21 - 87*s**2\/2 - 120*s. Let p(k) be the first derivative of b(k). Let p(u) = 0. Calculate u.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8770*w - 718*w + 10612 = -748428 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79746 is divided by 813?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q + 2. Suppose 25 = 5*h - 0*h. Suppose p - 7 = -3*s - 2, h*s - 23 = 2*p. Let i(j) = 5*j + 2. Give p*k(x) + 3*i(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3468*-1995\nAnswer: -6918660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 - -178. What is the biggest value in z, 2\/5, 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbrkxbbrrrircbr. Give prob of sequence xib.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 232*b**2 - 1\/12*b**4 + 0*b + 0 + 0*b**5 + 11*b**3 - 1\/70*b**7 + 13\/60*b**6. Find the second derivative of v(j) wrt j.\nAnswer: -36*j**2 + 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**5 + 1113*a**3*m - a**2*m**2 - 1209*a*m**2 + 2*a*m - a - 2 wrt a?\nAnswer: -300*a**3 + 6678*a*m - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11 = 9. Suppose c*j + 12 = 9*j. Solve -j*l + 2 = -13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-12) - 25\/50.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-15.038\nAnswer: -1.65418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 5*t + 17. What is u(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 16*f**2 - 11*f + 8. What is q(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -956a7b (base 14) in base 10?\nAnswer: -5051029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1547374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 787044*t + 787041 = 0. Calculate t.\nAnswer: 1, 262347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/18)\/(3\/18)*376. Suppose 17*v + 4*f = 21*v - k, 0 = 4*v - 3*f - 1502. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 + -2d13a1?\nAnswer: -2d13d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1292664 and 6.\nAnswer: 1292664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 5*f - 645. Give j(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p + 101 - 33 = 0. Let y be ((-8)\/140)\/(p\/10). Suppose y*t**2 + 72\/7 - 24\/7*t = 0. What is t?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.5 (c) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*d - 30*d**2 + 32*d + 15*d)*(0 + 0 + 2)*(2 - 2 + 1).\nAnswer: -60*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6001527.\nAnswer: 3, 7, 17, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82968517?\nAnswer: 17, 293, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0341708531 to six decimal places.\nAnswer: 0.034171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = -5. Let f be (8\/10)\/((-2)\/(-10)). Let b(q) = -v*q + 3*q + f*q. Let x(y) = -3*y**2. Give x(b(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 - 8 = 0. Let w(q) = 84*q + 32. Let p be (-160)\/(-12)*(-3 + 3\/5). Let k be (p\/3)\/(5\/(-15)). Let v(t) = -13*t - 5. Give k*v(h) + r*w(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let y = h + 6. Let i(g) = 26*g**2 - 5*g - 3. Is i(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -13*y + 36 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31012 (base 4) in base 16?\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744003 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79719486, -159438965, -239158444, -318877923, -398597402?\n\"Answer: -79719479*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*g**5 + 1187*g**4 - 3*g - 1162563?\nAnswer: 1200*g**3 + 14244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 51795.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62.97 - 63. Let o = -142\/15 - -48\/5. Which is the nearest to -2? (a) -0.2 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10083, 10074, 10065, 10056, 10047, 10038?\n\"Answer: -9*q + 10092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 97 = 2*a. Let k be (284\/a - 9)*(-4)\/2. Factor -3\/8 + 1\/8*q**2 + k*q.\nAnswer: (q - 1)*(q + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3313133*h + 18273056 wrt h.\nAnswer: -3313133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.614033 grams to tonnes.\nAnswer: 0.000009614033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - j**2 - 2*j + 42. Let u(i) = -10*i**3 + 3*i**2 + 7*i - 126. Give 2*u(a) + 7*y(a).\nAnswer: a**3 - a**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tctlwtlctnct.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 14*p - 5. What is b(11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(245)*-2 - sqrt(245))\/sqrt(7) - sqrt(35)))\/((3*sqrt(25)*1)\/sqrt(5)))**2.\nAnswer: 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 970*p - 3874. Let u be z(4). Let n(l) = -5*l - 1. Let v be n(-1). Suppose 9*o = v*o + 90. What is the greatest common divisor of o and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 1 - 15. Suppose v*k + 0*k - 72 = 0. Calculate the least common multiple of 16 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.4819 microseconds to seconds.\nAnswer: 0.0005914819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*c - 537*c + 1435*c - 394*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1, 5, 7, -3, 76, -159 in ascending order.\nAnswer: -159, -44, -3, 1, 5, 7, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*g - g + 4*h, -4*g - 4*h = -96. Suppose 7*q - 5*u - 66 = 4*q, -q - 2*u = -g. Let a = -20 + q. Calculate the remainder when 3 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -15. Let x(k) = k**2 + 7*k + 6. Give x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + 4.5. Let x = u + -2. Let t = 0.8 + -1.1. Which is the biggest value? (a) x (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 9.1. Let t = 9.5 + d. What is the nearest to -2\/7 in 2\/5, t, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7983566 a multiple of 1523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.497 + -0.5. Let v = -0.15 - 0.053. Let y = v - t. Which is the closest to y? (a) 0.1 (b) 0.4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.032 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 5*p + 72. Let x be (-5)\/(20\/16)*(-490)\/p. Find the third derivative of -7*r**2 - 245 - 6*r**5 + x wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2629 and -112090 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152665*n**5 + 4*n**2 - 39508 wrt n.\nAnswer: -9159900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let i(v) = 6*v**2 + 3*v**2 - v**j. Let m(z) = -9*z**2 + 15*z**2 - 5*z**2. Give m(i(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*j**3\/11 - 258844656*j**2\/11 + 31375112*j - 115042080\/11 = 0. What is j?\nAnswer: -14380260, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4706?\nAnswer: 2, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 42*j + 9)*(-2 + 4 - 3)*(2 - 2 - j).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. What is the common denominator of -53\/8 and (3\/12)\/(a\/(-116))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 5171, -13.\nAnswer: -13, 74, 5171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmfmmmfibmmemfzeb. Give prob of picking 3 z and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (199\/((-6766)\/(-340)))\/((-1)\/3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmcmcmkmkmmmmcmm. Give prob of picking 2 m and 1 c.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89 - 0.85. Let j = q + -65.04. Let p = -67.83 - j. What is p rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*g)*(8*g**3 - 141*g**3 - 325*g**3) as q + k*g + o*g**2 + i*g**3 + u*g**4 and give u.\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbuuubbbbbbbbbbubbb. Give prob of picking 3 u.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 2*(-8 + 4) + (-158)\/(-1).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) - 53\/(-2). Let j be (4\/6)\/(6\/g). List the prime factors of (-1)\/((-1)\/(21\/j)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9535 and 30.\nAnswer: 57210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*u = 17755 + 3599, 0 = 2*w - 4*u - 10668. Let l = -12051\/4 + 3031. Calculate the common denominator of l and -1*w\/(-24)*1\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**3\/2 + 6*s. Let v be j(-2). Solve u - v*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 + 107. Let d be y(0). Let l = d - 37. Find the second derivative of 0*i - l*i**2 + 24*i + 55*i**2 wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 33\/(-15))*10. Let s = u + 8. Let o be (-6)\/(-24) - 34\/s. Sort 0.2, 4, o in decreasing order.\nAnswer: 4, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 210*u - 209*u - 34913, 0 = -3*u - 5*r + 104739. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5423647.\nAnswer: 761, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:57 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 499872 and 26797?\nAnswer: 105472992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6518 + -6513. Solve 6*g - 7*g = b + 3, 11 = -3*g - i*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/73 and 89\/14?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-111) - (54 - (-98745)\/(-1073))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/88 and -109\/4724912.\nAnswer: 51974032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) 0 (c) 0.3 (d) 2\/13 (e) 1\/5 (f) -15\/259\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) -71 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 7*g**4\/24 + 40*g**3\/3 - 228*g**2. Give z(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*n + 113*n - 181*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-84))\/(13\/(22022\/132)))\/((-22)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, g: 1, t: 1, d: 1}. What is prob of sequence ft?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, 8.2, 0.9, 5, 1 in decreasing order.\nAnswer: 11, 8.2, 5, 1, 0.9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/840 + m**5\/420 - m**4\/168 - m**3\/42 - 9*m**2. Factor b(c).\nAnswer: (c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-25))\/((-104)\/(-65)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 3 + 9\/2*x**2 - 21*x + 17\/2*x**3 + 11\/16*x**4. Factor t(b).\nAnswer: 3*(b + 6)*(11*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 1, m: 2, w: 2, l: 1}. What is prob of picking 4 a?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46795, 93587, 140367, 187129, 233867, 280575, 327247, 373877?\n\"Answer: -b**3 + 46799*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 1586?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 4, a: 1}. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/210*-3*(-14)\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y = -4200. Let b = y - -13. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1602, -3194, -4796, -6414, -8054?\n\"Answer: -x**3 + x**2 - 1588*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 1216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6866 = -c - 2*f, -4*c + 9156 = -4*f. Suppose 6*t - c = -194. List the prime factors of t.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 - 2. Sort -0.13, o, -3, 1.\nAnswer: -3, o, -0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 583*f**6\/15 + 391*f**3\/2 + 898*f - 1. Find the second derivative of i(u) wrt u.\nAnswer: 13992*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-140)\/(-21) + 4\/(-6). Find the third derivative of -a**d + 5*a**6 + 9*a**6 + 3*a**2 - 4*a**2 wrt a.\nAnswer: 1560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (2 - (-2 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 13*u**2 + 13*u - 12. Suppose -5*d + 50 + 10 = 0. Let t be z(d). Suppose -5*b + 255 = -t*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156) + (sqrt(156) - (sqrt(156) + sqrt(156) + (sqrt(156) - 5*sqrt(156)*1 - sqrt(156)))) + sqrt(156))\/(sqrt(120)\/sqrt(10)*-3).\nAnswer: -7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 464376 times 12.92\nAnswer: 5999737.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.312?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 1830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2837115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2015647, 2015664, 2015681, 2015698?\n\"Answer: 17*v + 2015630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*y + 10, 2*y + 2 = i - 3. Let m(t) = -t + 1. Let a be m(-2). Put 0, i, a in descending order.\nAnswer: a, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1*2\/(-1). Let m = a - 0. Suppose 0 = -5*f + m*z + 27 - 0, 0 = 2*f - z - 11. Solve 4*o + 17 = f*q, 2*q = 3*o - 2*q + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200532 (base 8) in base 9?\nAnswer: 110332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51\/127 - -10999\/508. Let r = y - 21. Is 1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10201033 (base 4) to base 3\nAnswer: -221101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*b - 3*b + 19, -5*d - 5*b = 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892987027?\nAnswer: 73, 12232699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)\/((-2)\/(-4)). Find the third derivative of -k**2 + 4*k**4 + 4*k**4 - 4*k**f wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 68) + (4 - -33)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 2, 44, 7 in ascending order.\nAnswer: -5, 2, 7, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 175 + 4?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k - 46. Let h be r(7). Suppose 0 = -2*i - 10, 6*s + 2*i + 26 = h*s. Suppose 2*p - 3 = 5*p. What is the nearest to p in s, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 2. Let l be x(4). Let i be (7\/(7\/(-15)))\/(1\/27). Let m = i + 407. Solve -l*w = -m*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467602 + -0.0088595\nAnswer: 467601.9911405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a + 392. Let p be r(39). Solve -2*i - 5 = 5*c - 0*i, 4*i + 18 = -p*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 91. Suppose -5 = 3*g - 17. Let t = p - g. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6957.5 and -20809.\nAnswer: -13851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40257827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 1*sqrt(17))*3 + (sqrt(1088) + sqrt(17))*6*2*6.\nAnswer: -24 + 654*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*r**2 + 3421*r wrt r?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 961*j - 66. What is the units digit of x(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*45*(-9)\/(-108)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087\/6 < 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(16\/(-20))*5\/25?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*v**3 + 774*v**2 - 7*v - 4980507 wrt v.\nAnswer: -285*v**2 + 1548*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 8. Let p(u) = -u + 7. Let w(n) = -2*l(n) - 3*p(n). Let b be w(-5). Which is smaller: b or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2767482325 and -0.25333.\nAnswer: -2767482325.25333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 8) to base 9\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**4 + c**3 - c**2 + c + 1. Let v(o) = 20*o**4 + 30*o**3 - 10*o**2 + 5. Suppose -t + 3 = 4. Let y(d) = t*v(d) + 15*q(d). Find b, given that y(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:12 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6340.94 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 665 + 658 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + (4 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.94 times -0.042?\nAnswer: -0.08148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2. Let k(g) be the third derivative of g**7\/2520 - g**5\/30 + 6*g**2. Let v(u) be the third derivative of k(u). Calculate n(v(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -113 * -6.3\nAnswer: 711.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18006 - 18035. Sort 5, 1, 4, -1, d in increasing order.\nAnswer: d, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 450007\/9) + (-118)\/531. Round h to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2637\/(-36))\/(1\/(-20)). Let q = 9452 + r. Suppose -15*n + q = -6*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*n + 12 = 22 + 54 - 0, 284 = -5*w - 19*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2\/2 - 97*m + 19. Let c be q(0). Let a = c + 210. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-51) + 73792\/1088?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3249 times -0.1953?\nAnswer: 634.5297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238810028 is divided by 79603339.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + a)*((2 + 3 - 3)*(0 - 1 + 3) - 1 - 2 + 1 + 7654 + 10541 - 22504) as g*a + h and give g.\nAnswer: -4307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/((-1)\/(-3)). Let o(w) = 2*w**3 + 4*w**2 - 13*w - 14. Let v be o(-4). Let c = v - -103\/4. What is the nearest to s in -0.9, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33594 - -33599. Suppose 2*t = -2*h + 18, 0*t + t + 5*h - 29 = 0. Suppose r + 75 = t*r. Solve -s*d = -0*d - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 585811528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + y**3 + 3*y**3 + 24*y - 15*y - 10*y.\nAnswer: 3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4*(1 - (-4 - -7)). Let n = 0.08 + 4.92. Sort i, -2, n in increasing order.\nAnswer: -2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*d + 15 = 0, 0 = 3*d - d + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 31 + 163*j - 58*j - 51*j - 56*j - j**2 in the form t*j**3 + u + m*j**2 + p*j and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**29)**(-3) assuming k is positive.\nAnswer: k**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-36)*(-54)\/48?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 + v + 13. Let w(k) = 6*k**2 + k + 1. Let b be w(-1). List the prime factors of s(b).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/(-21)*(-21)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, w: 3}. What is prob of picking 1 w and 1 e?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.27. Let d = v - 0.229998. What is d rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12622 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*f + 32, -20*z - f - 11 = -24*z. Suppose -z*c - u + 1354396 = 0, 2*c + 3*u - 677220 = 8*u. Round c to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = 106*d - 616 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 589, 5, -1\/4, -84303, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jblxxfxlfil. What is prob of picking 1 l, 1 b, and 2 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -38*(-3)\/(-12)*-2. Suppose -3*w + 0*w = 4*x + l, x = w + 4. Calculate the remainder when 16 is divided by (1 - -1) + x - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 = -6*o. Suppose -o*y - 21 = -y. Is y less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60790*o**2 - 70276?\nAnswer: -121580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66323, -65391, -63839, -61667, -58875?\n\"Answer: 310*d**2 + 2*d - 66635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 - (29\/3 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 10) to base 4.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(132) - -1*2*sqrt(132))*-3)\/(4*((sqrt(432) - sqrt(432)*-2) + sqrt(432))).\nAnswer: -3*sqrt(11)\/32 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12620*3.\nAnswer: -37860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let i be y(2). Suppose -4*w + 20 = -i*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(242) + (sqrt(150)\/sqrt(3) - (1 + sqrt(6)\/sqrt(3))))**2 + 3.\nAnswer: 14*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/8 + 22*h**3 + 122*h**2. Is 3 a factor of w(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + 39)*1 + 122\/(-14)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 + 41404*g**4 - 1160400*g**3 + 9949600*g**2 - 16588000*g - 82920000 = 0.\nAnswer: -20730, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 7*t**2\/2 + 20*t - 84. Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a631a3 (base 11) to base 7\nAnswer: -20320541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.061395 (b) 0.01 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1705*v**2 - 5*v. Let p(r) = 6826*r**2 - 22*r. Give 18*n(a) - 4*p(a).\nAnswer: 3386*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 7. Let t = -63\/268 - 1\/67. Which is the fourth biggest value? (a) k (b) t (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.1804 nanoseconds to minutes.\nAnswer: 0.00000000838634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -32, -33, -24, -5?\n\"Answer: 5*p**2 - 26*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38043 - 99325 = -44*y. What are the prime factors of y?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 9147639 + 9147639.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 5*n + f, -43*n - f = -46*n - 43. Let c(l) = 25*l**3 + 3*l**2 + 3. Let o(w) = -124*w**3 - 16*w**2 - 16. What is n*c(i) - 3*o(i)?\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**3 + 15\/2*b**2 + 6*b - 3\/4*b**4 + 8 - 3\/5*b**5. Factor a(i).\nAnswer: -3*(i - 2)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -t. Suppose 4*y + 3 = t*y, -2*f = -4*y - 22. Solve -12 = -w + 4*h, -2*w + 1 = -5*h - f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36293, 72595, 108891, 145181, 181465, 217743, 254015?\n\"Answer: -3*b**2 + 36311*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487027576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (222\/259)\/(12\/112*18)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s + 0 + 14*s - 30*s + 3. Let u be g(3). Let a = 3 - u. Calculate the least common multiple of 117 and a.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-574)\/(-4428)*9)\/(2\/(-2))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 0, 2, 4, 1 in descending order.\nAnswer: 4, 3, 2, 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-2124)*113\/1. Let s = 6\/59 + p. Which is the smallest value? (a) 0 (b) -1\/3 (c) s (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -755.2 - -1455.5. Round u to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 13310310?\nAnswer: -13311021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 3, c: 4, v: 1, b: 7, r: 2}. Give prob of picking 1 v, 1 c, and 1 p.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 42442560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2173187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + 18\/(-4). Suppose -5*a + 2 + 8 = 0. Suppose 2*j - a = 8. Sort j, -4, z in decreasing order.\nAnswer: j, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -96. Suppose m*h - h = 111. Round h to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 16) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*d + 30*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 11*s**2 - 13*s - 10. Let r be l(-12). Let 7407*v**3 - 7387*v**3 - 4*v**5 - 16*v - 2*v**2 + r*v**2 = 0. What is v?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 11:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 499 + -355. What is the greatest common factor of t and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:08 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 61*l**3 - 2*l + 1. Suppose 5*b + 4 = 9. Let z be w(b). Differentiate -9*s + 3*s - z + 52 with respect to s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*k + 507 + 43 = s + 126, -5*s + 2*k - 100 = k for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26033591 is divided by 257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2360297*o - 4827139.\nAnswer: -2360297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:45 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*j = -184, -j = p + 3*j + 24. Let k = -2044\/3 + 687. Calculate the common denominator of k and ((-6)\/p)\/((-12)\/(-184)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -24*c**3 + c - 4. Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2077954, -8311752, -18701422, -33246970, -51948402, -74805724?\nAnswer: -101818942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*j**3 - 312*j**2 + 312*j**2 + 54 with respect to j.\nAnswer: -165*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1074 divided by 32177\nAnswer: 1074\/32177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 2 - (-57 + 64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626776880?\nAnswer: 2, 5, 139, 326149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, o: 1, g: 1, t: 1, r: 1}. What is prob of sequence th?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leell. What is prob of picking 3 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Let m(n) = -10 + n - 4 + i. What is m(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 25. Let v be k(-18). Let o be 8\/5 - (v + (-132)\/(-20)). Solve -4*l - o*f + 5 = 3, 4*f = -3*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (30*q**2 - 16*q**2 + 16*q**2)*(3 - 6 + 5)*(-2 + 5 - 2)*((-5 + 1 + 5)*(-3 - q + 3) - 3*q + 0 + 0) as p*q**2 + v + u*q**3 + f*q and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 282216?\nAnswer: 1411080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-3)\/(165\/44). Solve a + r + 2 = 0, -a + 3*r = -2*r - y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10858926 is divided by 319380.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*l**3 + 986*l**3 - 279 + 281 - 465*l**2 wrt l.\nAnswer: 5412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**2*y**3 + 4*t**2*y**2 + 344953*t**2 - t + 2270*y**3 + y wrt y.\nAnswer: 48*t**2*y + 8*t**2 + 13620*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 9*w**2 - 7*w - 11. Calculate x(5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/535993 or 0?\nAnswer: 11\/535993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4429 + -3007. Solve b*n - 1416*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6*(-2)\/(-3). Suppose 6*i = i + 15. Let t(j) = -j - 8*j**2 + 3 - 1 - i. Determine t(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 2 t when four letters picked without replacement from mttmp?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -968, 19, -2 in descending order.\nAnswer: 19, 3, -2, -968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**3 - h**2 - h + 1. Let j be l(1). Let f = 4 + -2. Suppose 0 = j*k - k + f*p, 5*k + p - 7 = 0. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+64.69050423\nAnswer: 64.49050423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.394+0.3\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -540722?\nAnswer: 540720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -74244100 to the nearest one million.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 149239 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -4, -3, -8, -25?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1730.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12280 + -4752356\/387. Is g not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 6*f**3 - 220*f**2 - 2502*f - 6885.\nAnswer: (f - 17)*(f + 5)*(f + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3340374.\nAnswer: 2, 3, 31, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*a + 571 - 573, 0 = -3*a + 3*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/10)\/((-23202)\/251355)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*0\/(-7)*(2 + -3). Suppose 3*y - 388 = -n + 139, -n + 4*y + 513 = v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1750*d**2. Let r(f) = -425*f**2. What is r(u(x))?\nAnswer: -1301562500*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*j - 40575, 430*a - 427*a + 20270 = j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 10*j**2 + 14*j - 1. Let t be b(-6). Let d = t - 56. Calculate the least common multiple of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 105 = 105. Let d be 569\/7 + 12\/y. Suppose b - 16 - 4 = -v, -5*b + d = 4*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 804, 2690, 5672, 9750, 14924?\n\"Answer: 548*n**2 + 242*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5708 is divided by 474?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80\/24)\/(1\/(-3)). Let u be ((-12)\/v)\/(9\/30). Suppose u*a - 58 = -5*t, 10*t = -3*a + 5*t + 46. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j*j**1)\/(j**6*j**(4\/3)))**(-2\/91) assuming j is positive.\nAnswer: j**(38\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2862*v + 1032*v**2 - 2862*v.\nAnswer: 1032*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047758097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 25 = -d. Suppose 0 = 5*k - 4*y - 68, 0 = d*k + 4*y - 50 - 42. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6264*b + 2082*b - 784131 = -667*b for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2193 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10285 by 935.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2845 and 10556657?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 10. Let m be -3 + -1 + (-80)\/(-10). Let y = -1 + m. Solve 2*p - 28 = -4*l, 2*l - y*p - 30 = -h*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 1497*m**2 + 1497*m**2 - 4*m**3.\nAnswer: -4*m**3 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 4*v**3 + 5*v**3)*(0 - 1 + 3) + (-3*v + 3*v + v**2)*(2*v - 4*v + 0*v) + (v + 3*v - 2*v)*(-4*v**2 + v**2 + 2*v**2).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 32. Let u(v) be the first derivative of -1\/5*v**5 + 3\/2*v**g - 1 + 2*v - 3\/4*v**4 - 1\/3*v**3. What is q in u(q) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -81.5. Round z to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68039*n**2\/3 - 67630765*n\/3 - 994\/3.\nAnswer: (n - 994)*(68039*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 3926?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382480 and 1316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/2)*(-6)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -3*j, j + 2*j - 9 = -o. Suppose -3*f - f + 4*v + 52 = o, 0 = -3*v - 3. What is the smallest common multiple of f and 2*(-1)\/((-2)\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 19. Let m(z) = z**2 - 3*z - 2. Let p be m(5). Is s(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655.8 - -522.95. Let l = 133 + j. Which is greater: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((2 - -2) + -2). Let b(a) = a**2 + a - 5. Calculate the remainder when 37 is divided by b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 43 = -14*u. Calculate the greatest common factor of 473 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*m + 149*m - 1659 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.43574 micrograms to milligrams.\nAnswer: 0.00443574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 + -13016?\nAnswer: -13137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1249 and 510 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - (-2 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*u - 4 = 0, -6*u - 7 = -g - u. Let o(j) = j**3 + 4*j**2 - 5*j - 13. Let d(y) = -y**2 - y - 1. Let s(x) = g*d(x) + o(x). What is s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4 + 5*v**2 - 2*v**3 - 12*v**2 + 14*v**2 + 4*v. Let b be f(4). Solve 4*j + o = -8, -j + 2*o + 3 = b*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -1287795859616?\nAnswer: 1287795859615.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 235 times 0.4\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101*i**3 + 37*i**3 - 51*i**3)*(0 + 1 + 0)*(-148 + 60 + 54) to the form w*i**2 + m*i + n + z*i**3 and give z.\nAnswer: 3910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 473071997?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65476664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71540280 divided by -28389?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + 12102212?\nAnswer: 12102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*x = -168*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*z)*(-1 + 1 - 2 + 2 + 0 - 1 + (-2 + 5 - 1)*(1 - 2 + 0) + 1 - 3 + 1 + 2 - 3 + 3 + 3 - 2 - 10 - 3 + 0 + 5)*(3 - 3 - z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1124*i**4 - 831?\nAnswer: 4496*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8942 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: Does 29 divide 57877358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225)*2*6 - sqrt(1225))\/(2*sqrt(80)*-1))**2.\nAnswer: 29645\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b*b*(b*b**(2\/3)\/b)\/b)\/b)\/b)**(25\/2)*(b**39\/b)\/b**(-2\/11))**9 assuming b is positive.\nAnswer: b**(11685\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 47*d**3 + 2*d - 1. What is the units digit of w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 125595?\nAnswer: 6530940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -209.7023 and 157?\nAnswer: -32923.2611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19718, -40317, -60916, -81515, -102114, -122713?\n\"Answer: -20599*c + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m + 4 - 4*m + m + 5*m. Let i = -43 - -48. Let r(g) = -g**2 + 4*g - 2. Let w be r(i). What is k(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17467666 - -3?\nAnswer: -17467663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078 a factor of 129974276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5392 and 86946.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 30*z + 168.\nAnswer: -3*(z - 4)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3 - 0. Let f be u*(2 - 2 - -1). Calculate the greatest common divisor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2553 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 k, and 1 f when four letters picked without replacement from {k: 3, b: 3, f: 3, i: 4}.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47589 + (-10)\/(7 + -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:30 PM?\nAnswer: 227","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -295*i + 513 = -322*i for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + ((-82)\/164 - 118\/4))\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97450371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 127*o**3 - 32*o**2 - 6*o - 4. Let y(p) = -127*p**3 + 33*p**2 + 5*p + 3. Let q(m) = 5*b(m) + 6*y(m). Find the third derivative of q(c) wrt c.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:15 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43595, 48447, 61617, 87263, 129543, 192615, 280637, 397767?\n\"Answer: 693*u**3 + u**2 - 2*u + 42903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 + q**4 - 6*q**4)*(-2 - 4 + 2)*(0 + 2 - 6).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacclvcv. Give prob of sequence vva.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -374*i**3 + 34392*i**2 - 789912*i - 33856.\nAnswer: -2*(i - 46)**2*(187*i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 2808*w = 2804*w - 324, -5*w = 3*s + 238 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4241*v + 4241*v + 7*v**2 - 8482*v - 2 - 4*v**3 to q*v + g + o*v**3 + s*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11283 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37274 is divided by 981?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42979, 41100, 37969, 33586, 27951?\n\"Answer: -626*k**2 - k + 43606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = 3*f, 3*f - 5*u = 5*f. Let r(c) = 3*c**2 + 12*c + 1. What is the smallest common multiple of 16 and r(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(8)\/sqrt(4) + sqrt(4)\/sqrt(2)*5)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -16*k + 15*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*c**2 + 100*c - 49*c - 51*c.\nAnswer: -5*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 80, 1851, -5 in descending order.\nAnswer: 1851, 80, 12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1822826\/5 + -364558. Factor g + 3\/5*l**3 - 24\/5*l - 3\/5*l**2.\nAnswer: 3*(l - 2)**2*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*v + 3*v - 3*v - 4*v)*(-8 + 1 + 53).\nAnswer: -4830*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 10 + 2 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-8))\/(-7)*0\/2. Suppose i - 4*i - 3*i = d. Solve 0 = -5*r + 3*a - 28, -16 = 4*r - i*r + 4*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*m + 34 = 0, -1698*m + 1693*m = -5*c + 55. Suppose -2\/5*s**c - 8\/5*s**2 - 24\/5*s + 0 + 14\/5*s**3 = 0. What is s?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87656 is divided by 498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 59 - 29 = 5*w + 70, 5*j - 14*w = 112 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.75 times -31209\nAnswer: 23406.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let j = 47 + -29. Calculate the lowest common multiple of j and y(4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -749, -735, -677, -551, -333?\n\"Answer: 4*g**3 - 2*g**2 - 8*g - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + 65. Give l(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 2. Let w = x - -9. What is the remainder when 7 is divided by (w + -1)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119, 127, 149, 191, 259?\n\"Answer: n**3 + n**2 - 2*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -152. What is the units digit of (-1225)\/h*(1 + (-37)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108223057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*v - 178, 2*v + 289 = 4*h - h. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - x - 22 = -0*u, 4*x = -3*u + 27. Solve -3*k - u*d - 10 = 0, 5*d = -8*k + 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120.7 - -23.7. Let w = 96.7 + o. Let s(p) = -5*p**2 - p + 1. Let y be s(1). Sort 3\/8, w, y in decreasing order.\nAnswer: 3\/8, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = 5*h, -19 = -4*z - 2*h + 5. Solve 7*r - 16 = -5*f + 3*r, -z = -2*f - 2*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9\/2)*r*r**17 assuming r is positive.\nAnswer: r**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -p - 4*z, 0 = -2*p - z + 3*z + 2. Let h(y) = 2*y - 1. Let o(g) = 4*g + 1. Let q(s) = -h(s) + o(s). Let m(l) = -1. Determine p*m(x) - q(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = -6*o - 269 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63, 83, 117, 165?\n\"Answer: 7*b**2 - b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2431*r + 2448*r - 68 = 0. Suppose o + o - 8598 = 0. Suppose -r*n = -2*l - 5*n + 4309, 2*l = -3*n + o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 3*o - 6. Suppose 9*u - 52 = -25. Let j(f) = 6*f**2 - 5*f - 12. Determine u*j(i) - 5*z(i).\nAnswer: 3*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5654310*r**2 + r**3 + 9*r**4 + 147*r - 5654310*r**2 - 2 to the form g*r**3 + y*r**2 + i + m*r + d*r**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/5 + 8501628*r\/5 = 0?\nAnswer: 0, 4250814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 - 6*h. Let i be m(-5). Let c = -5 + i. Suppose c = 6*w - w, -w = 3*b - 144. Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11 + 125\/10)\/((-10)\/(-4)). Let g(u) = u + 4. Let s be g(-6). Sort w, 3\/2, s in descending order.\nAnswer: 3\/2, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -893 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pii when three letters picked without replacement from {y: 1, i: 3, t: 1, p: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/25*(-10)\/4.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25435 - -2322?\nAnswer: 32201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 2. Let b be f(-2). Let g(j) be the first derivative of -9*j**2\/2 - 3*j + 9. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. Let h be (3\/27)\/(4\/(-12)). Let f = -1.23 + 0.23. Which is the nearest to f? (a) h (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1860 divided by -1\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soosooo. Give prob of sequence ooss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79967 = 4*t - 0*t - 4*f - 79895, 0*t = 4*t + 4*f - 8 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583028754 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 9:54 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3462)\/(-51) + (-2)\/(-17). Let w(z) = -68*z + z**2 + 4 + 133*z - m*z. What is w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -9. Suppose -17*k = -o*k + 91. Let l(r) = -r**3 - 8*r**2 - 8*r - 9. Determine l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/136, 0.5, 2, -3?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9316\/3060 - 14\/315?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -1\/4 (c) 0.7 (d) 1 (e) -2 (f) 63\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 5\/12 in descending order.\nAnswer: 5\/12, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -3*a**2\/2 - 5*a - 2. Suppose 2*d - 5*d = -2*t, -5*d - 44 = 4*t. What is the units digit of s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 2:15 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 5*a**2 - 28*a - 140. What is k(-5)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167495 is divided by 92?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, -91\/46?\nAnswer: -91\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(304) + 1)**2 + 1*((sqrt(304) + 2)*1 + sqrt(304))**2.\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2458 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -0.5, -9, 33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s**2. Let y(t) be the second derivative of t**3\/3 - 3*t**2\/2 - 37*t. Let a(k) = k - 1. Let r(w) = -3*a(w) + y(w). Calculate n(r(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18136, 1, -223, -3.\nAnswer: -18136, -223, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 1. Suppose -5*n - 25 = 3*u + 2*u, n + 7 = -2*u. Let m(c) = -2 + 2 + 2*c. What is u*m(o) - 2*s(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/204 + (-12)\/(-34)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6959499 and 109271?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from -1.26.\nAnswer: -36.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6\/(u\/(u\/u**(1\/6))))\/(u**(-1))**(3\/34))**13 assuming u is positive.\nAnswer: u**(3926\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 9:18 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 86172*m - 928201698 = 0. Calculate m.\nAnswer: 21543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 15390631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, -2\/11, -0.1, -2\/5, 72?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jcjcjjvcv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.019 - 0.981. What is the closest to 3 in j, 5, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) + (-84)\/(-22). Suppose 0 = -p*n - 2*d + 4, 0 = -5*n + 6*n - 4*d + 8. Let m(j) = -j**3 + j**2 + 3. Give m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 6*w**2 + 14*w - 27. Determine p(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9271 - 9271. Let d(c) be the third derivative of 47\/6*c**3 + 26*c**2 + 0*c**6 + 0*c**4 + 0*c**5 + m*c + 13\/70*c**7 + 0. Differentiate d(b) wrt b.\nAnswer: 156*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522592 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from aasaglt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, w: 10}. What is prob of picking 2 g and 1 w?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*j - 18*j**2 - 3*j**2 + 41 + 22*j**2 - 41.\nAnswer: j**2 + 625*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j = 23*j - 201*j + 726 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -0.4\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k - 3*k**3 - 65*k - 19*k**3 - 26*k**3.\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 9*a - 1176. Solve -a*k + 60*k - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -733, -593, -387, -109, 247?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z**3 + 2246*z**2 + 2406*z + 1202. Let p(b) = b**3 + 104*b**2. Let m(a) = -10*p(a) + q(a). Factor m(j).\nAnswer: 2*(j + 1)**2*(j + 601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 3364*r + 59904.\nAnswer: 2*(r - 1664)*(r - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24077806033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 44. Let m = -22 + l. Let t = m + -10. Which is the second smallest value? (a) 2 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from kwpuecpuuukue.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(10 - (-22)\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -266\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 201009360 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573311\/28 equal to 234761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.4 (c) 32.2 (d) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9. Suppose f = 4*o - 5*n - 11, 4*n + 5 = -2*o + 17. Suppose 0 = -2*s + 4*k + 486, 0 = -s - 3*k + o*k + 248. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 3731 - 3731. Let o(c) = -42*c**2. What is o(d(v))?\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 s when three letters picked without replacement from {i: 1, e: 1, y: 2, r: 3, j: 4, s: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 31\/4, -0.2, -3, 1, -8\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/3701 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/156*-3*8\/(-21).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 861 and 22550.\nAnswer: 473550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 589*v**4 - 624*v**4 - 27*v**5 + 2*v**5 - 10*v**3.\nAnswer: -5*v**3*(v + 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbaabffqaqipfp. What is prob of sequence aq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 14*x = -2*x. Let h be 1\/(-2)*x + 5. Solve -4*a = -s, -2*s = h*a + 6 - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let d(v) = 2*v. Let l(n) = 6*d(n) + 11*i(n). Let p be l(3). Suppose -p*s + 16 = s. Solve 0 = 3*r + w + 11, 5*w = s*r - r + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 14213433313?\nAnswer: -14213433311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 3*h - 11*h + 59 + h**2.\nAnswer: h**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46319, 46320, 46321, 46322, 46323?\n\"Answer: j + 46318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/9 - 176\/(-33). Solve 0 = p*x + 5*m + 37, 0 = -2*x + 3*x - 4*m - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67285, -134571, -201869, -269185, -336525, -403895?\n\"Answer: -u**3 - 67279*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 194 - 53. Suppose -r - s = -4*r. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + (-1803)\/(-12). Suppose -f = 3*m - 8*m. Let x = 52 - m. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 28*k - 38. What is m(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5160970455005 + 1.\nAnswer: -1.5160970455005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.9529 millilitres to litres.\nAnswer: 0.0249529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {w: 1, q: 1, b: 1, p: 7, x: 3}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**7\/105 - j**5\/30 + 5*j**2. Factor x(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.64*41.\nAnswer: -231.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7295, -6985, -6675?\n\"Answer: 310*z - 7605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3430\/(-168)*1\/(77\/22).\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**2 - 218*n + 2368. Calculate s(11).\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6601 - 2)\/(((-306)\/(-63))\/34)?\nAnswer: 7, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401 - -44556.\nAnswer: 44957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o**2 - 8*o - 2*o**2 + o**2 - 1. Let m be j(-7). Suppose -m*h = -2*h. Solve -f - 2*f = h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 2, g: 1, o: 1}. What is prob of picking 1 j and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let a(b) = 6*b. Let w(y) = a(y) + 4*k(y). Let u(c) = c. Let p(l) = -l**2 + 22*l + 4. Let v be p(22). What is v*w(h) - 7*u(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {w: 4, v: 2, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 36*u**5\/5 - 20*u - 1. Find the first derivative of o(q) wrt q.\nAnswer: 144*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 2\/7, 4, 3, 1\/8, 2388.\nAnswer: -47, 1\/8, 2\/7, 3, 4, 2388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/29, 0.1.\nAnswer: -3\/29, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 5*k - 1. Suppose -3*d + 35 = 2*u, u + d = 4 + 13. Let f = -5 + u. Suppose -10 = 2*v - 2*o + 8, v + 4*o = f. What is y(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 18971.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*h**2*o**2 + 2*f*h*o - 196*f*o**2 + f - 53*h**2*o - 2*o**2 with respect to h.\nAnswer: -2*f*h*o**2 + 2*f*o - 106*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14768*s + 810*s = 891*s + 282721 + 103353 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1691307 - -46.9.\nAnswer: 1691353.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2108 = -134*i - 2242. What is the smallest value in -138, 2\/19, 0.2, i, -5?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 623 - 623.2. Which is the nearest to -1\/4? (a) -9 (b) -5 (c) 9 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (25 - (-3 - -10)) - 56) + 10\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1347 and 7978281?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 603780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000170904998 to 6 decimal places.\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.3 - -58.3. Let u = -38.02 - -0.02. Let y = r + u. Sort y, -3\/8, 2, -1 in decreasing order.\nAnswer: y, 2, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2077 + -2087. Let r(s) = s - 7*s + 0 - 9. Calculate the remainder when r(p) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 3*f + f. Let l be u(0). Suppose -7*w + 40 = 12. Solve l = -2*m + w + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 5509 + 5509.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/42)\/(10\/8). What is the third biggest value in 2\/11, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:01 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2b7 (base 14) to base 8\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, h: 1, u: 1}. What is prob of picking 2 d and 1 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 6, s: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -776*f**3\/3 - 7*f**2 + 59*f + 2803. What is the second derivative of n(a) wrt a?\nAnswer: -1552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 34*v**2 - 33*v**2 + 0*v**2.\nAnswer: v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -h + 6, h + 2*h - 20 = -4*f. Solve z + h = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/50 (b) -26 (c) 4 (d) -2\/151 (e) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21128 divided by -8\nAnswer: -2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.161 rounded to 1 dp?\nAnswer: 62.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 23*q**2 - 3*q. Let y(o) be the first derivative of -11*o**3\/3 + o**2\/2 + 8908. Calculate -3*x(t) - 7*y(t).\nAnswer: 8*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6108267 centimeters?\nAnswer: 0.000006108267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = -34*j + 110. Calculate the lowest common multiple of j and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -1. Suppose -4*n = -5*l - n + g, 3*l = -4*n + 9. Let t be (-22)\/((l - 2)\/(-1)). Solve 0 = 2*v - r + 8 - 2, -3*r = 4*v + t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0988785132 to five dps.\nAnswer: 0.09888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c - 77 + 18*c + 23 + 7*c + c**2. Let i be u(-27). Sort i, 4, 1.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(22\/(-88))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113.500058 from 0.162.\nAnswer: -113.338058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1194 rounded to the nearest 10?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let v(k) = k - 5. Let n be v(8). What is the third biggest value in 0.1, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 6. Let g(m) = 3*m**2 - m - 11. Let l(y) = 3*g(y) + 5*w(y). Let q(s) = -3*s**2 + 2*s + 2. Give -2*l(z) - 3*q(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:18 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0148388936 to six decimal places.\nAnswer: -0.014839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 4*z = 56, 4*k = -3*z - 28. Let a(g) = g + 10. Let u be a(k). Determine l, given that 0 + u*l - 1\/2*l**5 + 1\/2*l**4 + 1\/2*l**3 - 1\/2*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 m when four letters picked without replacement from {m: 2, k: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 211*d**4\/12 + 7*d**3\/6 - 5*d**2\/2 + 344*d. Calculate the remainder when a(2) is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) -1 (c) 3 (d) 1\/257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -2) + -7 + 26 + 65 + 3 + -2\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 5, -5\/4, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y)**(-35)*(y**(-3\/5)*y)\/((y\/(y*y\/(y\/y**(-1\/6)*y)))\/y) assuming y is positive.\nAnswer: y**(-1393\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvym. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rjjujuloj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 70. Suppose -168 = r*n - 36*n. What is the greatest common factor of n and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127737.072 rounded to the nearest ten?\nAnswer: -127740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87794.05731 rounded to the nearest 10?\nAnswer: -87790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - -1*(0 - 2)) + 5. Let d(b) = -b**2 - b + 1. Let o(t) = -4*t**2 - 4*t + 3. Calculate r*d(p) - 2*o(p).\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10733 is divided by 1006?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 102?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -55. Suppose -w*j = -j + 9460. Let u be j\/(-22) - (1 + 1 + 0). What is the greatest common factor of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m - 218. Let f = 16 - 22. Let s(y) = -3*y - 2. What is the smallest common multiple of c(14) and s(f)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13646 divided by 90?\nAnswer: 6823\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)*(-15 + 9*(-91)\/63)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -3*o**7\/14 + 7*o**3\/3 + 29*o. What is the second derivative of s(d) wrt d?\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48225767 + -249844233. Round p to the nearest one million.\nAnswer: -298000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221 + -1110201?\nAnswer: -1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/7 + -1. Which is the biggest value? (a) 2 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232650 + 232650.170027. Let m = -0.17 + z. What is m rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -11*s**3\/3 - 1. Let t(q) = -11*q + 220. Let k(p) = -7*p + 154. Let o(b) = -10*k(b) + 7*t(b). Give o(z(i)).\nAnswer: 77*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x + 2. Give b(6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 3, p: 4, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/5)\/(f\/f**(1\/37)) assuming f is positive.\nAnswer: f**(-69\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-5)*o)\/o)\/o**(-1\/2))\/(o**(-1\/5)\/o*o*o\/o**(-3)) assuming o is positive.\nAnswer: o**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -88. Calculate the lowest common multiple of 12 and s.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 190\/1564 - 152\/1292. Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 666*p + 156975. Calculate b(-236).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o - 7. Let g be q(-9). Let h = g + -13. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:50 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.91 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9169 divided by 112?\nAnswer: -9169\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, -1, -8, 387.9, -0.4.\nAnswer: -8, -3, -2, -1, -0.4, 2, 387.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {l: 1, g: 1, p: 4, o: 1, t: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q. Let v be r(-2). Let g = v + -2. Let z(j) be the third derivative of j**5\/60 - j**4\/4 - j**3\/2 - 7189*j**2 + 2. What is z(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -15. Let b(n) = n**3 - 4*n**2 + 9*n - 14. Let r be b(4). What is the greatest common divisor of r and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3683, -1, -1\/8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 4. Let m = -38 + 40. Let s(x) = -m + 9 + x - 12. Let t(p) = 4*p**3 - 2*p**2 + 2*p - 1. Let r be t(1). Calculate r*s(c) + 4*z(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - -0.1. Let c = -0.24 - -0.25. Let i = -4.99 - c. What is the nearest to 0 in t, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*j + 115*j - 17311 = -5*d, 5*d - 4*j = 17314. List the prime factors of d.\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u - 9. Suppose 1 = 5*o - 9, 0 = -4*h + 5*o - 30. Calculate i(h).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123132023 (base 4) to base 16\nAnswer: -1b78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnjnhjjnhhnnn. Give prob of picking 1 h, 2 n, and 1 j.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/6 + 3041*r\/3.\nAnswer: -r*(r - 6082)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = v - 27*b + 29*b, v + 4*b + 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*d - 48 - 24, 0 = -3*c. Let p = d + -4. Suppose -60 = -2*m - 3*m. Calculate the smallest common multiple of p and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 6\/11, 8 in descending order.\nAnswer: 8, 6\/11, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f + 96. Let k be (-1)\/(-2)*(-5 + 5). Let b be r(k). What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w - h + 7, 4 = -h. Suppose 0 = 2*a + w*v - 134, -140 - 103 = -4*a - 3*v. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (0 + -8 + 22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.061 + 0.061. Let d = -530 + 529.6. Put s, -1.2, d, 1 in ascending order.\nAnswer: -1.2, d, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5997 or 5990?\nAnswer: 5990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 + 6*s - 3. Let n be f(4). Let x = 3 - n. Is (2\/4)\/(x\/(-492)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f - 1\/6*f**3 + 0 - 1\/2*f**4 - 1\/2*f**2. Determine k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**6\/5 - 3*c**3 + 5*c + 1. Let r(b) be the first derivative of k(b). Find the second derivative of r(j) wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62327411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311 + -220. Let n = -155767404.40000043 + 155767313.4. Let l = n + v. Round l to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c - 4. Give i(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-48))\/((-1)\/8). Let l = s - -5\/6. What is the biggest value in l, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x**2 + x)*(-59 + 59 - 116*x)*(1 + 3 - 3).\nAnswer: -232*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 2*f + 0*f. Let d(n) = -2*n**2. Calculate h(d(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 4*l + 6*l + 3*l + 3*l - 4*l + (3 - 3 - l)*(4 + 0 - 6) + 4*l + l - 4*l + 5*l - 3*l + 7*l to j + t*l and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74405*h**2 + 1320*h - 2478*h + 1158*h.\nAnswer: 74405*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77980 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -12 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1290b (base 14) to base 8.\nAnswer: 131157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321763 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 4)*(4*v**3 - 3*v**3 + 0*v**3 - 2*v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 4*j**3\/21 + j**2\/7 + 1. Suppose h(u) = 0. What is u?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 53 + 2552. Let o = -357 - u. Solve 2*c = 0, 0 = y - 4*c + 1 - o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1112 - -1112. Sort 12, -1, 2, z.\nAnswer: -1, z, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6181 + 6175.781. Let k = n - -5.3. What is k rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2342316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 42. Suppose 6*a - 5*a = f. Let x(s) = s**2 + 12*s + 9. Let j(u) = -u. Let d(k) = a*j(k) + x(k). Find y such that d(y) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r - 3*r - 17*r + r as d*r + p and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113504251, -113504252, -113504253, -113504254, -113504255?\nAnswer: -113504256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291 - -196. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -5\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 98117, 23 in ascending order.\nAnswer: 1, 23, 98117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m**5 - 5155*m**4 + 11690*m**3 - 2600*m**2 = 0.\nAnswer: -260, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 47 = -4*h, -2*u - h + 3*h = -18. Suppose -2*f = f + 9. What is the remainder when 0 + (-6)\/f + 19 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60313.\nAnswer: 11, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 2100?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/14*(-42)\/4. Which is bigger: t or 29?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.47*-0.018.\nAnswer: -0.06246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*t - 264, 0*t - 264 = -4*u - 3*t. Let i = u - 5. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 31668*a**2 + 18*a + 24. Let h be w(-12). Suppose -30*i = -36*i - h. What is i rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*q + 150, -2*m + 171 = -4*q + 9*q. Let h be (20\/q)\/((-1 - -5)\/(-12)). Which is the second biggest value? (a) 0.4 (b) h (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -157497\/625 and -252 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005176718 to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/8*(5 + -3). List the prime factors of a*(-19)\/2*(2 - 0).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1535 and 42059?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-28)*14\/(-56)*(-14)\/(-16)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i. Let d(q) = 13*q**2 + 12. Calculate y(d(f)).\nAnswer: 91*f**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c - 246. Let s be i(24). Sort s, -4, -7 in descending order.\nAnswer: -4, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*o = 2*j - 171, -128 = -2*j - 5*o. Let b be 8314\/(-140) - (-4)\/14. Let g = j + b. What is the common denominator of 119\/10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25672, 48040, 70404, 92764, 115120, 137472?\n\"Answer: -2*g**2 + 22374*g + 3300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 31*v**2 - 2*v + 3. What is the remainder when g(1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 + -156. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9061)\/533 + 3 + -26 + 5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58475 and 0.5.\nAnswer: -29237.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27*i - 4. Let d be q(-4). Let a be d\/(-20) + (-2)\/(-5). Let g = a + -9. Put 0, 4, g in increasing order.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 70903 + 70903 - 9*w**2 + 12*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:38 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -889414271*y**5 - 5239*y + 26419?\nAnswer: -17788285420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40941 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4*g**3 - 58*g**2 + 10 - 2*g**3 - 167*g**2 - 1 to x*g + p*g**3 + a*g**2 + k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304212030 (base 5) in base 9?\nAnswer: -6008200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/36474283 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4\/2 - t**2 + t + 6. Let o = -6 + -1. Let x = 8 + o. Determine a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 + 110*t - 963. Determine i(12).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 306, 703, 1100, 1497?\n\"Answer: 397*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, f: 1, w: 2, q: 1, s: 1}. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 3*i**2 + 0*i**2 + 3*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 8645310.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34141 is divided by 11135.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 7*i**2 + 6 - 7*i**2 - 4 - 5*i**2 - 2*i. Let a(m) = -2*m**2 + 2*m + 1. Let b(f) = -2*a(f) + x(f). What is b(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152112341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45.60707ms?\nAnswer: 45607070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 + 8*j**3\/3 + j**2 - j - 130. Calculate o(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -0.4, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 8*j + 7. Let h be o(8). What is the greatest common factor of h and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 80 = -2*y, -2*y = -4*m + 2*m + 38. Let t be (-1 - (-9)\/2)*72\/m. What is the units digit of ((-8)\/t)\/((-28)\/(-12) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/85 and 7\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/10 + 3\/(-2). Let n be 3 + (-4)\/(d\/2). Let y(v) = -n*v**2 + 5*v**2 - 2*v**2 + 4*v**2. Let m(a) = 4*a**2. What is y(m(o))?\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 333 + -324 + (-2 - (-2 + 31 + (2 - 2)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 9*i - 6. Let a be f(-10). Suppose 4*s + a*l - 88 = 0, s - l - 1 = 15. Solve -3*c - 14 = -2*o, -3*o + 2*c - 3 + s = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than 108\/1099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - 1*sqrt(30)*-3)\/((-1*sqrt(100))\/sqrt(10)) - ((sqrt(432) + 2)**2 - (sqrt(3) + (sqrt(3) - 1*sqrt(363))**2)).\nAnswer: -136 - 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -34112?\nAnswer: 34108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -15 + 9 + 885*z**3 + 6. Is 69 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 30*l**3 + 26*l**2 - 388*l - 32. List the prime factors of s(10).\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1273, -1214, -1159, -1108?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 5.5328?\nAnswer: 6.5328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10*(213\/77 - (24\/(-264) - 0)). Factor 0 - 2\/7*i**2 - a*i.\nAnswer: -2*i*(i + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38573.6 - 0.08386.\nAnswer: -38573.68386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-7))\/(18\/(-63)). Let d(c) = -2962500*c**3 - c**2 + c + 2. Let i be d(t). Round i to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1679480 divided by -10\nAnswer: -167948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v**5 - 16*v**5 - v**3 + 0*v**3)*(-16 - 5 - 2).\nAnswer: -69*v**5 + 23*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 + 4*b**2)*(0*b**2 + 2*b**2 + 0*b**2)*(7 + 10 + 0 + (0 - 1 + 2)*(0 + 0 + 2))*(1 + 4 - 1).\nAnswer: 304*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1535, 624, -883, -2974, -5637?\n\"Answer: 2*j**3 - 310*j**2 + 5*j + 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113316\/(-26980))\/(((-2)\/(-2))\/(5*-1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25452 divided by 844?\nAnswer: 6363\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 3*v - 6. Suppose 4*i = -5*s + 5, 0 = -2*i - 3*s + s. Let p be l(i). What is the common denominator of 81\/4 and ((-6)\/p)\/(5\/(-164))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/838882 and -151\/16660.\nAnswer: 411052180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/3)\/k**(2\/11))\/(((k\/(k*(k\/(k*k**(-3)*k)*k)\/k))\/k)\/k)**(-2\/21))**(-20) assuming k is positive.\nAnswer: k**(10300\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.107.\nAnswer: 0.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -15. Let z = o + 55. Suppose v + z = 5*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 3. Let g(n) = 8*n - 11. Let s = -107 - -109. Let l be g(s). Determine u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*v - 2 + 11, -v = y - 1. What is the second derivative of -65*w - 33*w**3 - 5*w**v - w**2 + 5*w**2 + w**2 + 2 wrt w?\nAnswer: -198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**3 + 0*u**3 - u**3)*(-1456 - 2451 - 2114 + 5) to r*u**3 + z*u + g*u**2 + k and give r.\nAnswer: -24064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -11.\nAnswer: -11, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 52. Calculate the remainder when n(0) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (129*q - 14*q**3 - 129*q)*(-4*q + 2*q + q) + (-9 - 8 + 8)*(-2*q**2 + 2*q**2 + 2*q**4) to d*q**3 + a*q**2 + b + v*q + f*q**4 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 7*h**2 + 5*h + 4. Let a be f(6). Let v(o) = -55587 + 55587 + o + 0*o. What is v(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**4*w - 28287*m**4 + 3*m**3*w + 29*m**2 + 11285*m*w + 3*w + 2 wrt m?\nAnswer: -72*m*w - 678888*m + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.057552 - 428.027552. Round l to zero decimal places.\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1186107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-432)*63)\/((-1)\/9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1696*x**2 - 2652*x - 19. Let m(p) = -5089*p**2 - 7956*p - 66. Let r(h) = 2*m(h) - 7*q(h). Find the second derivative of r(g) wrt g.\nAnswer: 3388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 27. Suppose -t + 0 + 4 = 0, i = -2*o + 4*t. What is the units digit of (-123)\/9*-3 + o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -107905 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 6*y - 69. What is the remainder when (3 + (-8)\/4)*y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13965812?\nAnswer: 2, 7, 498779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (17 - -9 - 20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*p - 96 = 4*i, 96 = -4*i + 5*p. Let k be 3\/i*-4 - -1. Which is the nearest to -0.1? (a) k (b) -0.07 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477146435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 - 68200*w\/13 + 581405000\/13.\nAnswer: 2*(w - 17050)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102021?\nAnswer: 3, 31, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(260)*-1)\/(sqrt(40)\/(sqrt(8)*2)))\/((sqrt(576) + 4*sqrt(576))*4).\nAnswer: -sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2316\nAnswer: 5\/2316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -969, 2\/29, 2, -1\/8, 0.2, -0.17?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i - 3*a + 22, 0 = -a + 4. Let z(s) = s**2 - 4*s - 5. Let j be z(5). What is the third derivative of v**3 + j*v**2 - 3*v**2 - 3*v**i + v**3 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osonzooronso. What is prob of sequence sos?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*m - 5 = -0*f, f - 5 = 5*m. Suppose -h + 5 = -f*h. Suppose 2*g + 3*g = 5*k - 120, -h*k = 5*g - 100. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -r - 2*m, -17 = -2*r + 3*m. Let q(o) = -r - 6*o + 5*o + o**2 + 2 + 0. Let f(x) = x**2 - 4*x + 2. Give -f(i) + 3*q(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 168*h**2 + 3*h - 4*h + 135*h**2. Let u(z) = -14*z**2. Determine m(u(t)).\nAnswer: -6468*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 4*q)*((26 - 22 + 10)*(-2 + 0 + 4) + (2 + 0 - 1)*(5 - 3 - 3)).\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6047\/3 - 2009. Factor -4*x**4 - 8*x**3 - 2*x - 2\/3*x**5 - n*x**2 + 0.\nAnswer: -2*x*(x + 1)**3*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304213.\nAnswer: 37, 101, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(2 + -3 - -24). Let b = -21 + u. Which is smaller: b or 10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/201 and -13\/35043.\nAnswer: 2347881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:54 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {s: 3, c: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1190 and -0.06.\nAnswer: 71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/8 - 632\/(-64). Suppose -5*s + f = -402, 2*s - 3*s - 4*f = -72. What is the greatest common divisor of s and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-21)\/g)*g*g**(-4\/11)*g assuming g is positive.\nAnswer: g**(271\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 427531?\nAnswer: 2565186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 3325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 5\/10487 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 92 = -3*n. Suppose -21 - n = -4*s. Solve 4*k - j - s = 0, -4*j = k - j - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/1020)\/(3*(-1)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2. Let j(p) be the third derivative of -p**8\/6720 - 11*p**5\/60 + 4*p**2. Let i(f) be the third derivative of j(f). Give i(n(w)).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2820 and -127\/2843030.\nAnswer: 17058180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54669 at least as big as 54612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 38. Give s(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**9\/136080 - x**8\/30240 + x**7\/22680 - x**4\/2 - 13*x. Let f(d) be the third derivative of h(d). Factor f(t).\nAnswer: t**2*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 672 - 30 = 0. Calculate the common denominator of ((-2)\/(-20))\/(9\/s) and (1\/(-16))\/(2\/52).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 976481, 976515, 976551, 976589, 976629, 976671?\n\"Answer: k**2 + 31*k + 976449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 7*s - 1241. Let b(g) = 2*g**2 + 5*g + 829. Calculate 7*b(m) + 5*i(m).\nAnswer: -m**2 - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + 38 = -81 - 7 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.214 + 0.164. Let i = 8 + -8.9. Let u = i + 5.9. What is the nearest to o in u, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -67\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 482585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - (-6)\/(-21) - -4. What is r in 26*r**2 + 6*r**3 - m*r - 6*r**2 - 4*r**2 - 14*r**2 - 2*r**5 - 2*r**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l**3 - 191*l**2 - 46*l - 647. Determine k(-10).\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11878 - -3?\nAnswer: -11875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -31. Let s = -32 - -40. Suppose 0 = s*n - 4*n - 208. What is the remainder when n is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*v + v. Find the second derivative of -12*l - 7*l**5 - 13*l + v*l wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3826*s**2 + 499*s - 5.\nAnswer: -7652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 6*d + 20090*d**2 + 63 - 20105*d**2.\nAnswer: -15*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -52. Let x = -26 - o. Sort x, 1\/8, 2.\nAnswer: x, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(6*o - 7*o - 22*o)*(0*o**2 + 0*o**2 + o**2)*(-2 + 4 + 0).\nAnswer: 46*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u*u)\/u)\/u**(3\/7) assuming u is positive.\nAnswer: u**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvooovoee. What is prob of sequence vv?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135007024*b*j*x - 3997*b*x + 32382*b wrt j?\nAnswer: 135007024*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 + 2?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.04, 3\/5, 3, -1.1, 19\/2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 132 = 5*h, 0 = -2*g - 2*g - 3*h + 132. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58903521 and -0.2.\nAnswer: 58903520.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/247 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p = -1140. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-300)*(-8)\/(-6). What is the second biggest value in 0.3, -4, 3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655657319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*t - 27*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a - 95 = 31. Suppose 0 = 3*q + 3, -3*m - 2*q - a*q = -3355. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*v = 2*s + 4281, -5*v - 2847 = -2*s. Suppose 5*z = 4*w - s, w = z - 4*z + 379. What is the highest common divisor of w and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1892*j**2*n**2*v - j**2*n + 5*j**2*v**2 + j*n**2*v**2 + 2*j*v**2 - 2*j + 81*n**2*v**2 + 25*n*v**2 + 54*v wrt j.\nAnswer: -3784*n**2*v - 2*n + 10*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186285.\nAnswer: 3, 5, 11, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 119404 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1020, -144 in decreasing order.\nAnswer: 1020, 1, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/115 + (-22)\/(-55). Sort h, -4, -0.4 in increasing order.\nAnswer: -4, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -161, 5, 3.134 in ascending order.\nAnswer: -161, 3.134, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 13 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y + 20*y - 43*y)*(-1 + 1 - 1)*(-3*y + 3*y + y + (2 - 3 + 2)*(4*y - 2*y + 0*y) - 2*y + y + 3*y).\nAnswer: 225*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let r = 18 - 18. Let p(b) be the third derivative of 0*b**3 + r*b + 0*b**4 - 1\/30*b**5 + b**2 + 0. What is a(p(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 0)*4\/(24\/(-474)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + r. Suppose -2*b + 0 + 2 = -0. Let h(y) = 3*y**2 + y - 4. Calculate b*h(i) - l(i).\nAnswer: i**3 + 3*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/42374094 and -43\/20.\nAnswer: 423740940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9504.3 + -9497.06739. Let i = -9.76765 - a. Let j = 17 + i. What is j rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*d + 3, -2*d + 26*j = 29*j - 17. Suppose -7*s = -12*s - 5*h + 10, d*h = -3*s + 4. Solve 16 = 3*u - 5*b, 2 = s*u - 2*b + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2314+-0.0639\nAnswer: -2314.0639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**2*h*h))**(-1\/4))**(-46) assuming h is positive.\nAnswer: h**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -46, 264154 in descending order.\nAnswer: 264154, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/6)\/(15\/45). Let r be q\/6*-10*12\/(-50). Suppose -2*i = -i - 4*h - r, -2*h - 24 = -3*i. What is the greatest common factor of i and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*h**4 + 182*h**3 - 258*h**3 + 5*h - 4*h**2 + 75*h**3 as d*h**2 + n*h + s*h**3 + u*h**4 + o and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8302246*f - 16604490*f + 8302246*f + 15. Let u(r) = r - 5. Let s(q) = -2. Let b(z) = -5*s(z) + 2*u(z). What is c(b(k))?\nAnswer: 4*k + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2704, -2702, -2700, -2698, -2696, -2694?\n\"Answer: 2*x - 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5184 and 144?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 324*h**3 - 996*h**2 + 1004*h - 336 = 0?\nAnswer: -84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aikzzzikkza. What is prob of picking 1 i and 1 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + p - 14 = 0, -4*j + p + 24 = 5*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + -10059*8\/(-13464) and -62\/3?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32805\/1729 - -363\/19. Let r = 1063\/910 + u. What is the common denominator of -109\/20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1799496\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3888, -7768, -11646, -15516, -19372, -23208, -27018, -30796?\n\"Answer: l**3 - 5*l**2 - 3872*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (150\/19 - 8\/(-152)*2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 4. Let x(m) = 211735*m + 0 - 4 - 211741*m. Calculate -4*v(t) - 3*x(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 - j + 13. Calculate p(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2286, 2133, 1976, 1815, 1650, 1481?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 0 + 4*j + 2. Let x = -422 + 421. Give i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**8\/6720 + c**7\/840 + c**6\/240 + c**5\/120 + c**4\/96 + c**3\/3 + 3. Let w(v) be the third derivative of m(v). Solve w(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1287*(-162)\/5346)\/(-1 - (-2)\/4).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 44 - 40 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g - 1. Let d be t(2). Put d, -4, 4, -5 in decreasing order.\nAnswer: d, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.4 + -1.6. Let d = f + 16. Let m = -2.2 + 2. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11489, -2\/9, -0.02 in ascending order.\nAnswer: -11489, -2\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 423 = 411 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 54273.\nAnswer: 12\/18091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1059590 (b) 1 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/476919 and 47\/376515?\nAnswer: 7153785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118.2 rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/5 + 11179509*x\/5 - 11179506\/5 = 0?\nAnswer: 1, 3726502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2655 + -2656. Which is smaller: a or 2\/87?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**6\/80 - a**5\/20 + 3*a**4\/16 - 121*a**2. Factor g(n).\nAnswer: -3*n*(n - 1)*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2155 + 299 = 127*z - 156*z. What is the lowest common multiple of 408 and z?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452609?\nAnswer: 109, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 131, 138, 145, 152?\n\"Answer: 7*v + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 3*b - 1. Let d be z(-1). Suppose -2 = -3*f + u, 2*f + 2*u + d + 3 = 0. Solve -s - 3 = -f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 3, g: 3, d: 2, c: 3}. Give prob of picking 1 c, 1 m, 1 i, and 1 d.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.2632 - -0.2632. Which is bigger: 8\/7 or n?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 2.5382.\nAnswer: -3.4618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 33. Find the first derivative of 3*m - 8 - 3*m - y*m**4 + 7*m**4 wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4\/6 + 10*a. Suppose 3*j + 2*j + d - 7 = 0, -11 = 2*j + 5*d. Let f(y) = 2*y - y - j*y. Give f(q(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 64 = 194. Suppose -2*u + 6*u - 24 = 0. What is the remainder when v is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let h(w) = -w. Suppose -17 = 3*o + 2*r - 4*r, 4*r = 5*o + 31. Give o*g(n) + 2*h(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 6. Let b(u) = 39*u - 20. What is b(f(h))?\nAnswer: 39*h**2 - 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k + 358. Let w be j(0). Suppose -4*q + w = -p - 90, -p = -3*q + 336. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -27*i**2. Let h(d) = -2*d + 4. Let b = 354 - 253. Suppose 89 = 3*v + b. Let g(o) = o - 1. Let t(u) = v*g(u) - h(u). Calculate t(y(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343 is divided by 2167.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1 - 3) - -4. Solve i*l = -3*u - 2*u - 15, -15 = 5*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2911.57 rounded to the nearest 10?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61313, 122632, 183951, 245270?\nAnswer: 306589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)**(15\/4))**(-9)*(w**4*w**(-5))**(-2\/29) assuming w is positive.\nAnswer: w**(-3907\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 35*h + 27. Let s be t(-11). Solve s*v - 2*k - 3 + 15 = 0, 5*v + 36 = -4*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:05 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*i + 4*o - 26 = -223*i, -4*o + 22 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47423393701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = -24. Let v be 0*(75\/10 + u). Let w(x) = x + 2. Determine w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 215*l + 1695. Let d be h(-9). Solve -d*m + 4 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21855969 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 = 232*p - 2140 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1256 + -450. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39\/665 + 45251\/45885. What is the common denominator of ((30\/375)\/((-6)\/10))\/(35\/(-50)) and t?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13356 divided by -6\nAnswer: -2226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/y**(3\/10))\/y)\/y**(-2\/31)*y**(-27)\/y*y**(-15)*y)**(-15) assuming y is positive.\nAnswer: y**(37419\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/(-119) - 18\/(-7). Suppose -q*g + 1252 = 2*w, -1252 = -2*w + 10*g - 5*g. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -322.04 - -321.64. Sort 74, -0.07, -3, v.\nAnswer: -3, v, -0.07, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 246326004 - 3?\nAnswer: 246326001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 11*s**2 + 20. What is p(-10)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 13*p - 13. Let q be z(14). Let f be ((-3)\/(-9))\/(q\/(-12)). What are the prime factors of (f\/(-2))\/((-235)\/245 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 47 + 21. Calculate the remainder when 27 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 + 4*g + 14. Let x(l) = -11*l**2 - 8*l - 27. Let p(i) = -4*x(i) - 7*y(i). What is the units digit of p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 516 - 322. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*j - 172. What is the common denominator of 1209\/(-65)*((-5)\/22 - 0) and (5\/(-30))\/((-2)\/j)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -98\/3. Let z(j) = j + 4. Let w be z(-4). Suppose 4*m + w*m = 3*i + 4, 3 = -3*i + 3*m. Is i less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-114)\/(-19))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13120314 + -2?\nAnswer: -13120321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1 + m + 0 + 0*m**2. Let c(d) = -d**2 - 4*d - 5. Let x = 15932 + -15933. Calculate x*c(z) - 5*y(z).\nAnswer: -4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8441 - -8450. Calculate the remainder when 157 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3 + c**2 - 2*c + 2. Calculate o(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640813 + 5*f - 640813.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*k**2 + 163*k**2 - 459*k**2 + 1483.\nAnswer: -661*k**2 + 1483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -300011768 divided by 42858824\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 8. Which is smaller: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -616 + 5?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-856)\/(-120) - (-1 - -5) - 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*b + 230, 35331*n - 35328*n - 13*b = -2*b - 6*b + 140 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0658 and 222.01.\nAnswer: -14.608258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by 2\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*w + 19, -3*z + 26 = 3*w + 2*w. Let s = 859 + -833. Calculate the remainder when s is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -359\/5. Factor 2\/5*b**3 - 6\/5*b - f + 0*b**2.\nAnswer: 2*(b - 2)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -5, 1, 32.\nAnswer: -5, -4, 1, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 13725 - 13716 = 3*p, -4*p + 19 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/10255698 and 85\/7976654.\nAnswer: 71789886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -13.\nAnswer: -55\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 17 + 26. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2182, -2194, -2212, -2236, -2266, -2302?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 4.2. Let m be 3\/2*-1*3\/9. Which is the nearest to 0? (a) m (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89980969 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-39))\/(5\/(-118 + 13))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 62699 = -5*z, 0*z + 3*z - 37605 = -3*k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0059 (b) -2\/615 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 253*g**3 - 3 + 7 + 5*g - 4*g**2 - 252*g**3. Suppose 3*i + 4 = 4*i. Let h(y) = 2*y**3 - 11*y**2 + 14*y + 11. Calculate i*h(x) - 11*u(x).\nAnswer: -3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.867007936 + 0.3.\nAnswer: 6.167007936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*n = -417*n - 132 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.46 + 589.46. Let l = -582.0000574 + y. What is l rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 19*q**2 - 7*q - 10. Does 4 divide n(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -10. Let x = n + -3. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*w + 42 - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-104369518)\/55)\/(-11) - (-3)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3*r**4\/28 - 564*r**3\/7 + 159048*r**2\/7 - 19934016*r\/7 + 454. Let y(q) = 0. What is q?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19332 - 193199\/10. What is the common denominator of v and 31\/11572?\nAnswer: 57860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.74 - -0.26. Which is the closest to k? (a) 0.4 (b) 20 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/24 + 23*x**5\/6 + 435*x**4\/8 - 255*x**3 - 378*x**2 + 2. Factor l(q).\nAnswer: -5*(q - 51)*(q - 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 43 - 4*u - 12*u**3 + 7*u**3 - 2*u**2 + 4*u to p + l*u**2 + h*u + z*u**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38080.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z + 9*z)*(1495 - 81*z - 1495).\nAnswer: -810*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/60 and -5\/78482106.\nAnswer: 784821060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374 is divided by 183.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 11596 - 3324. Suppose -618 = 3*d - 2*t, 4*t + u = -5*d + 6*t. Let b = -18 - d. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222 + -110. Let s(j) = 13*j**2 + 112*j - k*j. Let m(l) = l. Calculate s(m(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:30 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49487882 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13112124 (base 5) to base 11\nAnswer: 88a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 871*h - 1. Let c(o) = -2*o. Determine c(m(i)).\nAnswer: -1742*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 + 4 - 10*y**2 + 4*y**2 - 4*y. Let q be f(2). Suppose -w + 30 = q*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -7, 82 in decreasing order.\nAnswer: 82, -7, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6346, 6460, 6692, 7078, 7654, 8456, 9520, 10882?\nAnswer: 12578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -229096, -458195, -687294, -916393?\n\"Answer: -229099*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 1194 = -3*w, w + f - 397 = 0. Let n = -689 + 488. Let b = w + n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3023299371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:08 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 35389?\nAnswer: 141556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -2*n, -d - 2*n + 11 = -0*n. Let m = -7.38 - -10.38. Sort -3, d, m, 0.1 in decreasing order.\nAnswer: m, d, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Suppose 3*t = -s + 4. Suppose -5*n + t = -4*n. Let v(p) = p**2 - p + 1. Let d(m) = 5*m**2 - 5*m + 6. What is n*d(o) - 6*v(o)?\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 3*f**3 + 0*f**3 + (13949 - 124*f**2 - 13949)*(-2*f + 2*f - 2*f) + 10*f - 12*f + 3*f**3 - f**3 + 1.\nAnswer: 249*f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*m + 23620 = -575*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 2498\/(-336) + ((-9)\/8 - 132\/(-176)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3368 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2. Let d(u) = 25*u + 29*u + 84*u - 16*u. What is d(o(n))?\nAnswer: -244*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5120 - 4441.6. Let f = 678 - a. Let u = 2 - 1. Put u, f, -0.3, -1\/5 in decreasing order.\nAnswer: u, -1\/5, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041?\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -116459854420 from -65.\nAnswer: 116459854355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 24 in descending order.\nAnswer: 24, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d - 2. Let a(v) = -28*v + 217. Calculate the remainder when a(7) is divided by n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 399, 397, 395, 393?\n\"Answer: -2*c + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 - 3*b + 6. Let t(u) = -3*u**2 + 2*u - 3. Let k(p) = 5*t(p) + 2*w(p). Let l = 10 - 4. Let g be k(l). What is g rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -3\/2 (b) -0.49 (c) -5 (d) 3\/8 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 13*v**2 - 15*v**2 + 24.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*w + 72 = 19, -5*g - 273 = -2*w. List the prime factors of (-11)\/g - 368\/(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*q - 23046 = 70*q. Suppose 2*s = 4*f - 560, -5*f = -4*s - q + 308. What is the highest common divisor of 497 and f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 105, 274, 603, 1146?\n\"Answer: 9*a**3 - a**2 + 3*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 515446\/5? (a) -0.1 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -532400 - -55369187\/104. Let q = t - -33\/8. Which is the biggest value? (a) -1\/7 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 1)*(0*g + g + g) + 2 + 2*g - g - 4 - 6 + g + 6)*(5 - 2 - 4) as f + u*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 20. Let a(l) be the first derivative of -l**2\/2 - 7*l - 3. Let j(u) = -17*a(u) - 6*o(u). Find the first derivative of j(h) wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 15) to base 2\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 538.3.\nAnswer: -538.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 77*s. Let y(g) = 1398572*g. Calculate y(i(c)).\nAnswer: 107690044*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 29 = 35. Let y = 34 + u. Let x(b) = 7*b + 11. Let n be x(-1). Solve 2*r + n = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 165 + 8*g + 58 - 15.\nAnswer: 2*g - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 20 + 100. What is the units digit of 92\/b + (-1)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*w - 144 = -325*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -110*u + 221*u - 102*u. Sort 0, 1\/2, -19, u in decreasing order.\nAnswer: 1\/2, 0, u, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96695 or 96696?\nAnswer: 96696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 9, 43, 105, 201, 337, 519?\n\"Answer: u**3 + 5*u**2 - 10*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12119798 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from kiiimbamamimaakm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*-3*sqrt(500) + -2)**2.\nAnswer: -480*sqrt(5) + 72004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1817 + 2012. Sort -4, a, -2, 2 in ascending order.\nAnswer: -4, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011001 - 101?\nAnswer: 1001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/3 - 4*w**3 + 27*w**2\/2 + 4308*w. Give m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 474, -0.09, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let b = 28 - -19. Suppose -x*s + b = -41. Calculate the remainder when s is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 14*o**3\/3 + o**2\/2 - 13*o - 178. What is the units digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 4 - (-18 - (3 + -2 - (48 - 37))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 29*u**2 - 31*u + 23. Is k(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 658 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 458*z - 10435. Give r(22).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(-4*sqrt(4))*1.\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (48*(-10)\/420*-6)\/(23 + -22)?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 26*t**3 + t - 9*t**3 - t**2 - 2*t. Let s be c(-1). Let z be s\/36 + 1\/4. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 52*q**3 - 25*q**2 + 26*q - 1. Calculate l(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2646153?\nAnswer: 3, 269, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 4. Let u be z(-4). Suppose u = -0*x - 2*x - 48. List the prime factors of ((-1)\/(-2))\/((-1)\/x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*l + 87 = 0, -4*o = -8*l + 6*l - 66. Calculate the remainder when 115 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.520058 to three decimal places.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11647, -624, 3 in decreasing order.\nAnswer: 3, -624, -11647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 50, 59, 68, 77?\n\"Answer: 9*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from uguttgglcsgu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - -2 - (8 + -9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**3 + 8*x**3 + 9*x**3 + 3*x**5 + (2 - 2 + 3*x)*(3*x**4 - 2*x**4 + 0*x**4) + 170*x - 170*x - 32*x**5.\nAnswer: -26*x**5 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let k(p) = 8*p**2 + 5*p. Let d(q) = -9*q**2 - 6*q. Let v(t) = -6*d(t) - 7*k(t). Give v(x(a)).\nAnswer: -8*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Let r be (-4)\/18 - b\/(-18). Find the third derivative of -3*k**4 + r*k**2 + k**2 + k**4 wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 543 + -396. Let m = -147.0000447 + h. What is m rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/2)*s)**1)**(2\/33)\/((s*s**1*s)\/((s*s\/s**3)\/s))**(-2\/29) assuming s is positive.\nAnswer: s**(139\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 51 + -20 - (8 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 117.37 times -0.05914\nAnswer: -6.9412618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36184?\nAnswer: 2, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 20*u - 11, 3811458*u - 3811461*u = -k - 11 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -20) + -4 + (5 + -1 - 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 4*o + 3*o)*(2*o + 1 - 1) - 4 + 0*o**2 - 5*o**2 + 4*o**2.\nAnswer: 3*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-742)\/(-28))\/(350\/(-700))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4112 divided by -257\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - q + 1 + 5, -2*z + 3*q = 1. Suppose -4*y - z = -89. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 2 b when four letters picked without replacement from {b: 4, t: 1, e: 3, a: 1, u: 2, w: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 4060?\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 - 92. Suppose 6*q - j = -0*q. Let d(r) = -r**3 - 10*r**2 + 12*r + 16. Let h be d(-11). Is q < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-870)\/(-252))\/(-29)*(-13 + 1632\/120)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -595583*p**2*v**3 + 4*p*v**3 + p*v - 586*p - 16*v wrt p?\nAnswer: -1191166*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 208, 207, 206, 205?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -250*l - 1361. Is 13 a factor of a(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/((-40)\/(-96)*-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118.7 - -118.8. Sort 0.09, m, -29, 0.3, -4.\nAnswer: -29, -4, 0.09, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 14*m**2 + 56*m + 12. Calculate v(5).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let p(j) = -225*j. What is p(o(b))?\nAnswer: -450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, r: 1, o: 1, s: 1}. Give prob of picking 1 r and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4, 3*j = -0*j + 4*x + 32. Suppose 20*n = j*n + 112. Solve n*y - 5 = 9*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 3159*b + 175938.\nAnswer: 3*(b + 59)*(b + 994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7436?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*u = -308*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 13*g**2 - 2*g - 11. Let s be m(-13). Suppose -2*v + 24 = 4*q, s + 6 = v + 5*q. Suppose -2*j + 3*h = -985, 2454 = -j + v*j + h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 10 + (3 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -5*c + 125. Let l = c + -65. Suppose 0 = -l*q - 2*r - r + 55, 3*r = -5*q + 71. Calculate the greatest common divisor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.264 at least as big as 10963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -197*f**2. Let u(g) = -2*g. Determine u(w(p)).\nAnswer: 394*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174722760 by -3882728.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6577, 26461, 59629, 106081?\n\"Answer: 6642*z**2 - 42*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18498.\nAnswer: 2, 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**2 - 14312*u - 12802084 = 0.\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/12 and 31\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdpue. Give prob of picking 1 u, 1 e, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-192)\/(-18) + 1)*6\/10 - -4. Solve -3*p - z = -4*q, -54*q - 6*p - 31 = -53*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + 48 - 1. Suppose 5 = -u, 13 - 83 = -5*j - 3*u. Suppose -5*s = 4*p - 25 - o, -p + j = s. Solve 0*v + 3*v + 9 = 2*h, p = 5*h - 4*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Let n = 4 - u. Let g = 354 - 358. Which is the nearest to g? (a) -1\/2 (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46 and -7616863672.\nAnswer: -7616863718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f - 7. Let k(g) = 7*g + 7. Let h(a) = -4*k(a) - 3*m(a). Let i be h(-7). Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*l - 31903 + 3227. Solve 120 = 14*b + l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10*y + 15*y - 15 = 0, 8 = 2*f + 5*y. Let v(x) be the first derivative of -x**2\/2 - x + 1. Let b be v(-6). Sort f, b, 3, 2 in decreasing order.\nAnswer: b, 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 12*r + 23. Is p(-11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -69 (c) -0.08 (d) 2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 3, a: 2, o: 2, p: 2, h: 2}. Give prob of sequence ao.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x - 6. Let b be g(8). Suppose -s = -0*s - 4. Find the common denominator of 69\/8 and (b\/(-20))\/(s\/(-30)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 2, b: 4, k: 10}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -55*b + 74 - 79 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096*v = -1081*v - 30. Let f(o) be the first derivative of 0*o**3 - 3*o**v + 9 - 11\/4*o**4 + 0*o. Find the second derivative of f(w) wrt w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17611690 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7200 - 6987. Solve -f*v + 25 = -5*h - 208*v, 4*h - v = -5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cookc. Give prob of sequence cco.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 at most as big as 178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0273, -4, -2, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/28703?\nAnswer: -10\/28703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2242 and 5569451.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 63. Let i(t) = -26*t. Let f(q) = 33*q. Let u(x) = 4*f(x) + 5*i(x). Determine u(z(p)).\nAnswer: -4*p**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6\/11)*y\/((y**20*y)\/y))**(-28))**(4\/33) assuming y is positive.\nAnswer: y**(7616\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-194)\/(-10) - (-9)\/15. Suppose -z = -2*l + 3*f, 2*l + 2*f - f = 20. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8778*b**3*h - 2*b**3 + 3*b + 8*h + 13 wrt b?\nAnswer: -52668*b*h - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (210\/147 - 3\/7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*l**3 + 415*l**3 + 36*l**3 + 865*l**3.\nAnswer: 1609*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6447737 + -3?\nAnswer: -6447742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19424.14t to kilograms.\nAnswer: 19424140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33933445 and 3315.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -36. Let i be p + (-6 + 10 - (-1 - -2)). Is (-6)\/(-4)*i*10420\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4056 by -26.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t - 3. Let n be a(-2). Let y = n - 11. Solve -w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.84 + -0.84. Which is the fourth biggest value? (a) f (b) 0.4 (c) -2\/13 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**2 + 11\/12*u**4 - 4 + 3*u + 0*u**3 + 1\/20*u**5. Solve b(f) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1254 + 1273. What is the lowest common multiple of 46 and l?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*h**4 - 9*h + 4*h + 0*h**4 + 3*h + 5*h**2 to the form n*h**3 + i + b*h**4 + m*h**2 + g*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = 0. Suppose -4*u = l - 136, 5*l - 3*u - u - 584 = g. Let q be (5 - (-3 - -6))\/(1\/12). Calculate the highest common divisor of q and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 10*h**2 + 21*h - 3. Determine x(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -623*i**3 - 21146*i + 109433041 wrt i.\nAnswer: -1869*i**2 - 21146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36*1 - 8\/18\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61289 is divided by 20337?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6044 + 4732 + 482 + 1998)*(-2*c + 3 - 3).\nAnswer: -26512*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(5\/(-5) - -3). Suppose 3*z - 2*q = 8, -5 = -4*z - a*z - 3*q. Suppose n + 2 = -1, z*o = -n + 163. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 197*(-736)\/(-16) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 + 335*j + 5 - 670*j - 18*j**2 + 334*j - 3 + 0 to t*j**3 + l*j**2 + u*j + m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - m + m)*((-m + 0*m + 2*m)*(4*m + 2*m - 3*m) + (m - 2*m + 2*m)*(13*m - 2*m - 3*m)) as t*m**3 + x + i*m**2 + f*m and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4360 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 943 + -881. Solve 0 = -45*a + u*a + 68 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*b**3 - b + 57*b**4 + 62*b**2 - 63*b**2 - 227*b**3 as f + r*b**4 + w*b**3 + d*b + h*b**2 and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8*f - 4 = 5*f, -3*f = 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -13*j**5\/20 + j**2 - 11*j + 11. Let w(o) be the first derivative of q(o). Find the first derivative of w(a) wrt a.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -230?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4880924714802 and -0.3.\nAnswer: 4880924714801.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -240. Suppose 4*k - 5*c = -2*c + r, 5*c = -3*k + 82. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1441 + 1459.69. Let v = s - -0.31. Let i be (-8)\/14 - 64\/(-224). What is the nearest to 1 in i, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((22 - 21) + -6)*-1. Suppose -2*x + 3*x = 1. Solve b - x = -t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let d be (-18)\/(-30)*5\/h. Let t be 6\/((16\/10)\/4). Calculate the greatest common divisor of d and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5*v - 154, -3*m - 5*v - 149 = -v. Let w = m - -53. Solve -a + 6 = -5*y, w*a - 5*a = -y + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238607 and 1376?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.174 - 3.806. Let c = g - -4.322. Round c to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17416158 is divided by 170.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 at least as big as 3142\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10433240551.26011 - -10433186710. Let w = p - -53840. Let k = 1.26 + w. Round k to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -5, -0.4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 143*o + 139. Let i be a(7). Let m = i - 348. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 3 (c) -5\/6 (d) -36 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1408, -2\/5, -1\/2, -15 in ascending order.\nAnswer: -15, -4, -1\/2, -2\/5, 1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58807 and 1478576.\nAnswer: 10350032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2508 and 1176.\nAnswer: 245784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 1430 = 193*f - 54 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 0 = -f*q - 87 - 13. Let t = q + 81. What is t rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125483\/6 - -25185. Suppose -r + 6*r = 21455. Let s = l - r. What is the common denominator of s and -113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 smaller than 204965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from hdbhjhbhhhhbirbhbdbb?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*o = -5*o - 1, -3*o - 10 = v. Let r be (-6)\/8*1 - -1. Which is the second smallest value? (a) 2 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:41 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 + 3*f. Let g(k) = -14*k**2 - 19*k**2 + 27*k**2 - 3*k - 2*k. Give -3*g(t) - 5*u(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjdddjj. Give prob of sequence ddj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/1 - (44 + -54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(220) + 2*sqrt(220)))\/sqrt(4))\/(sqrt(35)\/(sqrt(7) - (sqrt(7) - sqrt(7)*1*6))).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*8\/352*-46.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d81 + -218c?\nAnswer: 1be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -15908.094.\nAnswer: -15916.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {r: 6, v: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105210, 105743, 107198, 110037, 114722, 121715?\n\"Answer: 77*x**3 - x**2 - 3*x + 105137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4182*z + 12666*z - 4243*z - 4210*z.\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 452714, 905517, 1358322, 1811129, 2263938, 2716749?\n\"Answer: l**2 + 452800*l - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 0. Suppose j = -7*d + 3494 + 1189. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -122\/3. Let q = -3 + j. Suppose 0 = -f - 2. Which is bigger: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v + 6178 + 3*v**3 - 2*v**5 - 6178 - 7*v**2 + 3*v**4.\nAnswer: -v*(v - 1)**3*(2*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -162 - (-101 - -43 - (-27 + -4)).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 10*j - 211*j + 2*j + 2*j - 2*j - 2*j + 3 - 3 - 3 + j + 3 + (2 - 2 + 2)*(4 - 4 + 2*j) as s + m*j and give m.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4148, 8290, 12434, 16580, 20728?\n\"Answer: i**2 + 4139*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iismcuq. What is prob of sequence mqi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-7 - (6 + -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*m + 650 = 238 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/3 in 5, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01284 - -0.13716. Which is the nearest to p? (a) 1\/7 (b) 3 (c) 1\/8 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 522.3305 millilitres?\nAnswer: 0.5223305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -3, 0.05, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -0.3, -42?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5459064)\/(-8) - (-725)\/(-29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342667195 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (15 + 61 - -39)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 - 1\/126*n**7 + 80*n - 1\/90*n**6 - 11\/36*n**4 + 2\/9*n**3 + 3\/20*n**5 + 0*n**2. Factor o(s).\nAnswer: -s*(s - 1)**3*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8825 is divided by 59.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*d + 34 = 0, 1 - 39 = -2*j + 4*d. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/2)*p**(-1)*p*p*p*p\/p**(7\/6)*p**19)**46 assuming p is positive.\nAnswer: p**(3220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5691 divided by 2\nAnswer: -5691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -1\/6*g**3 + g + 0 + 1\/2*g**2. Give y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321157267.62 + 8.\nAnswer: -321157259.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1598 (base 10) to base 12\nAnswer: -b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, -103, 15, 52.9?\nAnswer: 52.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 35764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52 + 21?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 15*b - 19. Let q(r) = 7*r - 9. Calculate 6*p(w) - 13*q(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.885377867933 and 33.\nAnswer: 37.885377867933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 271673 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - 43. Let b = r + 61. Solve z = 3*n + 13, z - 5*z = -n + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4 - 2*s**2 + 2*s + 3*s - 52*s**3 - 2*s + 3. Let d be l(1). Which is smaller: -53 or d?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 98*d**6\/15 + 2632*d**5\/25 - 1956*d**4\/5 + 3808*d**3\/15 - 256*d**2\/5 - 638. Let m(a) = 0. Calculate a.\nAnswer: -16, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 + 0.2. Let j = -8 + i. Which is the smallest value? (a) 0.5 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 + 17*x**4\/12 - x**3\/6 - 13*x**2\/2 + 10*x. Let h be w(-17). Solve 4*b - r = 4, -b - b = -2*r + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + y**2 + y. Let m(u) = 3*u**3 - 7*u**2 + u - 5. Let j(v) = 2*h(v) - m(v). Determine j(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2324*z**2 + 3112*z**2 + 1746*z**2 as u*z**2 + x*z + d and give u.\nAnswer: 2534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/969*-38*(-6)\/136\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 796654 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.247 litres in millilitres?\nAnswer: 892247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 686?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87193 divided by -5129?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/(-32)*(-3)\/42?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbbhbhhhbhhb. Give prob of sequence hbhh.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-3*v - 2*v - v - 6*v + 5*v - 6*v + (1 - 1 - 2)*(-1 + 1 + 2*v))*(-4 - 1 + 3).\nAnswer: 102*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 4. Let n be v(0). Let s(j) = -57*j + 182. Let o be s(n). Is -47 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a + 3*a + 4*a. Let l(w) = w**2 + w + 1. Let o(g) = 8 + 2*g**2 - 2 + 10 - 4 + 12*g + 2*g**2. Let c(f) = -12*l(f) + o(f). Calculate t(c(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 - 2. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (11 - 5) - (4 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 90*d**2 + 3*d + 4. List the prime factors of h(-1).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/7)*v*v**(-5\/3)*v**(1\/6)\/v**5)**(-26\/5) assuming v is positive.\nAnswer: v**(767\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 + 37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + -166. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34264*w**3 + 3*w - 127?\nAnswer: -205584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5227415 is divided by 2009.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -170*y - 2445. Is 33 a factor of o(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 837 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0*p**4 - 29\/120*p**6 + 0*p - 50*p**2 + 0*p**3 - 23\/60*p**5 + 0. What is the third derivative of j(q) wrt q?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2 - 11*w + 4. Let m(k) = -5*k**2 - 12*k + 5. Let u(p) = 5*m(p) - 6*o(p). Let h be u(-1). Solve 0 = 3*z - 12 + h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.075 and -522?\nAnswer: 524.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24d47a - -1?\nAnswer: 24d47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44311 (base 6) to base 12\nAnswer: -3697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zijz when four letters picked without replacement from iizjiziiiiiizijijiiz?\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 5 (c) 4\/9 (d) 16 (e) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-330)\/(-1210))\/(4\/33)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(50)*1)\/(sqrt(70)\/(sqrt(7)*-1)) + -2*(3*sqrt(45)\/(sqrt(81)\/sqrt(9)))**2 + -5.\nAnswer: -95 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1030040*u**2 + 1652178?\nAnswer: -2060080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1\/(-24)*16\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 28*s**3 + 8*s**2 + 137*s. Let o(r) = -10*r**3 - 2*r**2 - 50*r. Calculate -4*j(q) - 11*o(q).\nAnswer: -2*q**3 - 10*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 4. Calculate n(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 67. Suppose -d = -5*c - 2708, -d + 4*d - 3*c - 8112 = r. Suppose h = -3*j - 2*h + d, -5*h = -5*j + 4485. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l - 12. Calculate the lowest common multiple of t(-5) and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 - 18*w - 71. Calculate u(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869.43139 rounded to one decimal place?\nAnswer: 1869.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 - 221. Suppose -8*k + 15 = -j*k - 3*s, 0 = -3*k + 5*s + 21. Solve k*g - 11 = -g - d, 4*g - 5*d = 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 + 2. Let f = 35 - 35. Let y be h(f). Solve -3*z + 3*t = -12, y*z - 5*t = -0*z + 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*o - o. Let q(s) = s**3 - 6*s**2 + 2*s - 8. Let g be q(o). Solve g*x + 4 = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(-2*sqrt(4) + sqrt(4)))**2 - (sqrt(19) + 4*(0 + sqrt(19)))**2.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 100*u + 1373. Give c(20).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 = -4*v, v = -a - 0*v. Let m(c) = -3*c + 3 - a*c + 6*c. Determine m(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 393.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19a + 5?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3581 + -3698. Which is the second smallest value? (a) 5 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391021 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = q - 8, 0*q - q = -c + 4. Suppose c*k = 9*k. Let d(b) = -b**3 + b**2 - b - 3. Calculate d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-196)\/(-16) - (-3)\/(-12). Let k = -16 + 21. Suppose k*u + u - n = 0. Solve -3 = -2*z - v, -2*v - u*v = 4*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2. Let k(z) = -21333*z**2. Calculate k(h(y)).\nAnswer: -767988*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41923 - -20267. Is 3 + 5\/(-10)*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1426643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*p - 2200 + 68 = 31*p - 452 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 494 (base 13) to base 16\nAnswer: 31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-5))\/((-4)\/(-1))*-12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1870b (base 12) to base 6\nAnswer: 432415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) -33443 (b) 5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - 94\/10. Let z = 112 - 217. Let b be -5*7\/(z\/(-24)). Is w not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -515, -775, -1035, -1295?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10022202?\nAnswer: -10022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12360 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -271. What is the least common multiple of 26 and x?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 l when three letters picked without replacement from {u: 2, r: 1, l: 1, c: 1, y: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, -5, 4, 0.\nAnswer: -355, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 91*i**2 - 92*i - 182. Let h be y(-90). Put h, -5, 9, -31, 3 in decreasing order.\nAnswer: 9, 3, h, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/50 - 5412\/(-10). Let f = v - 210. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -p - 1, -2*a = -2*p - 2*p - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 93 + 55 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*z + 5*z. Suppose 6*m - 2*m - 36 = -4*b, -4*m + 4 = -4*b. What is the remainder when 47 + (b + -6 - 0) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f**2 - 62*f**2 - 56*f**2 + 75*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:51 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, c: 4}. What is prob of sequence ycy?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:09 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 260*a - 769. Let t be y(3). Let g(p) = -4*p**3 + 5*p**2 + 3*p - 2. What is g(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**6*t)\/t)*t**0)\/(t**(1\/11)*t**(-3)))**6 assuming t is positive.\nAnswer: t**(588\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100306 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k. Suppose k = 4*s - 5 - 3. Solve 2*o - 2*w + 4*w = 0, 4*o = s*w + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3502288, 3502291, 3502294, 3502297, 3502300, 3502303?\n\"Answer: 3*b + 3502285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-667)\/207*-6)\/(4\/(-9))).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**5\/60 - m**4\/8 - m**3 + m**2\/2 - 3. Let g(s) be the second derivative of l(s). Does 12 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(720)*2)*4*5)**2*-2 + -1)*4.\nAnswer: -9296004 + 768000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r + 2. Let j be w(-2). Let z = j + 23. Suppose 0 = -z*q - 15 + 190. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41488, -41487, -41486, -41485, -41484?\n\"Answer: l - 41489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21023 (base 4) in base 11?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 3*x + 6*x - 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/3)\/w*w)\/w)\/w*w**3\/w*w*w*(w\/(w\/w**(2\/11)))\/w*w*w**5 assuming w is positive.\nAnswer: w**(281\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**2 + 5*o**2 - 4*o**2 + 5*o**2 - 2*o**2 - 2*o**2 + (-5*o - 3*o + 3*o)*(-4*o + 3*o + 4*o) to the form q + m*o + z*o**2 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/10*((-20)\/45 + 1). Sort p, -6, 2\/3.\nAnswer: -6, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-8) + 12\/(12\/(-3)). Which is the biggest value? (a) i (b) 3\/4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11835 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 939716171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -79*h**7\/210 - h**6\/60 - 137*h**4\/24 - h**2 + 125*h. What is the second derivative of o(u) wrt u?\nAnswer: -948*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*n - 11, 2*n + 35 - 25 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3928, 3908, 3888, 3868?\n\"Answer: -20*q + 3948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1885*x**2 + 20443*x + 3206. Calculate p(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 14}. Give prob of picking 2 a and 2 f.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 28369 in descending order.\nAnswer: 28369, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -3)*-1 + -2. Put -4, w, -16 in ascending order.\nAnswer: -16, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33978 by -21.\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/20 - q**4\/12 + q**3\/6 + q**2\/2 + 3*q. Let l be b(-2). Solve -5*x - 20 = 0, -3*x + 11 = l*w - 5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11058 and -1.\nAnswer: -0.11058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -876 - -2054. What are the prime factors of z?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i - 12. Let m = -80 - -52. Let b = -35 - m. Is 9 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 4 = 4*r. Let y be (-4)\/(-102)*(r - -3). Which is the second biggest value? (a) -5 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5 - 3 + 26*x - 7. Let v be -9 - (-25 - (-13 + 4)). Is f(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -6*sqrt(132)*-2)\/sqrt(12) + (1*-2*sqrt(1584))**2.\nAnswer: 13*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 40 = 5*k, k - 2*b + 6 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-42) + 69\/21. Suppose 4*z = -0*z. Solve -y + z - b = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1703*d**2*v + 3*d*v**3 - 9*d*v**2 - v**3 - 6531*v**2 - v wrt d.\nAnswer: 3406*d*v + 3*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. What is the nearest to g in 0.4, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3699*q + 7394*q + q**2 + 1749*q**3 - 3691*q.\nAnswer: 1749*q**3 + q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - 182*a - 3 - 4 + 5 + 2*a**3 + a**2 + 79*a - 2*a**2 in the form x*a**4 + f*a + t + b*a**3 + c*a**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 7*d. Suppose d = -6*h + 9*h - 24. Is 6 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 50*w**2 - 3*w - 2. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033a5 (base 13) in base 14?\nAnswer: -2127d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 4*q, -2*q = 4*s - 1834. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1610 - 1542. What is the greatest common divisor of k and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 15*s**2 + 2*s - 36. Let q be a(15). Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198786*g**2 + 3*g**3 - g**3 - 5*g + 200403*g**2 to the form x + w*g**3 + t*g**2 + d*g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -116*l + 179. Let k(w) = -w - 1. Let g(c) = 3*k(c) + v(c). What is the first derivative of g(r) wrt r?\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 0 - 1 - 1. Suppose t = -2*h - 2*t + 8, 0 = 2*h - 3*t - 8. Calculate p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9*n + 6 + n**2 + 0 - 8.\nAnswer: n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -433, -895, -1341, -1765, -2161, -2523, -2845?\n\"Answer: k**3 + 2*k**2 - 475*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105248, 105247, 105244, 105239?\nAnswer: 105232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.2. Let r = -22 + 22.4. Let o = r - 0.8. What is the third biggest value in a, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(1650\/2355) - -30)*70.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 313*h + 58468 = 314*h, -5*w - 5*h + 58480 = 0. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 73.50281 days?\nAnswer: 6350642784000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/1691 < -2\/5671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**4 + 0*t - 262*t**2 + 0 + 0*t**3 + 1\/60*t**5. Let v(f) = -12*f**2 + 6. Give i(v(s)).\nAnswer: 144*s**4 - 144*s**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-3*(-9)\/(-216). What is the nearest to -0.1 in -1\/5, 0.5, j, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, 2, -49, 5, -4 in descending order.\nAnswer: 18, 5, 2, 0, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 5175?\nAnswer: 5175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-six fifths of a minute?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2917*q + 2569880. Calculate m(881).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26771a2 + -5?\nAnswer: -26771a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*l**4 + 91421*l - 91421*l + (5*l**2 - l**4 - 5*l**2)*(5 + 1 + 0) as s*l + y*l**4 + t + f*l**3 + m*l**2 and give y.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 117, 178, 317, 558?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-162188)\/(-143) - -4*4\/(-88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70999 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35816*l - 35811*l + 374 = 17*m, -31 = -l - 2*m + 13 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3123, 6345, 9557, 12753, 15927, 19073, 22185?\n\"Answer: -j**3 + j**2 + 3226*j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, g: 1, u: 9}. What is prob of sequence gju?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5346\/10 + 96\/240. Let u = 964 - v. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 + m**2 - 2*m + 2. Let h be f(1). Suppose h = b - 6. Sort 3, -1, b in descending order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42212, 42214, 42218, 42224?\nAnswer: 42232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34*1\/10 + -3. Which is the closest to 2\/3? (a) -3 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - d - 8)*(3 + 0 - 9 + (-4 + 4 - 1)*(-7 + 0 + 4))*(-d - d - 2*d) as o*d**2 + x*d + z and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1074)\/(-2506)*7\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, -18, 3 in ascending order.\nAnswer: -18, 3, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g. Let u(y) = 494680*y. Calculate l(u(q)).\nAnswer: -3957440*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -31*n**3 - 3*n**2 - 93. Let d(c) = -10*c**3 - c**2 - 34. What is -4*b(r) + 11*d(r)?\nAnswer: 14*r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*w = -13, -w = -0*w + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {n: 1, o: 1, p: 1, i: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - -41. Let l = i + -49. Let w = 13 + 2. Calculate the remainder when l is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = l, 0*l + 12 = 5*k + 2*l. Solve -2*t - 3*w - w + 2 = 0, -t - k = -w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3773196, -3773179, -3773162, -3773145?\n\"Answer: 17*t - 3773213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 4*y + 6. Suppose 11*j + 3*w = 12*j - 1, -3*w = -3*j + 9. Does 35 divide u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101970*g - 7 + 7 + 51527*g + 50440*g + 0.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*f + 89*f. Let p(l) = -l**3 - l + 2. Let s be p(f). Solve 4*h + 4*v = -h + 25, v - s = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-12 + 451\/82).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 3*j - 2*j + 58.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 34*n = -n - 120 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 1}. What is prob of sequence cc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 992 = 0. Suppose 3*g - g = w. Factor -c**2 - 6*c**3 - 116*c**4 + g*c**4 - c**2.\nAnswer: 2*c**2*(c - 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/263, 2\/5, -4, 0.1 in ascending order.\nAnswer: -4, -5\/263, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32028 = -g + 32014 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 3. Let r(f) = 5*f - 8. Let m(n) = 8*h(n) - 3*r(n). Let z(k) = 7 + k**2 - 7. Determine m(z(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) 3 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 x when four letters picked without replacement from xrxrrxrxrxrxrxrr.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llldllllddl. Give prob of sequence dldd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 2. Let f be t(-2). Suppose -f*u + 3*u = 0. Solve 3*w + 9 + 0 = u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 10*k + 9. Let o be v(10). Solve 4*s = s + o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 1 + 149\/((-1788)\/(-96))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 381*n**2 + 243*n**2.\nAnswer: -138*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1124 + -378. List the prime factors of r.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r - 5 = -5*d, 25 = -5*r. What is the third biggest value in 5, -1\/4, 0.06, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.3 (c) -1\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 + 6*s - 8. Suppose -12 = -2*u - m, -5*u - 2*m + 5*m + 19 = 0. Give i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 4053*o**2 - 5681347*o\/2 - 2836620.\nAnswer: (o - 8755)*(o + 1)*(o + 648)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1857*d - 29. Let t(z) = -2786*z + 44. Let l(a) = -8*h(a) - 5*t(a). Let b be l(12). What is b rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -1 - (-23)\/((-115)\/10). Let o(d) = -7*d**2 - 2*d**2 - d**k + 8*d**2. Let n(y) = -3*y**2. Suppose 10 = 3*p - p. What is p*o(m) - 3*n(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*m - 260 = 2*m, 0 = -4*m. Calculate the highest common factor of 234 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 26*z + 112 = 0. Suppose 4*r - r = 399. Suppose z*o - 347 = r. What is o rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5431020*a - 3*a**2 + 5431020*a. Let h(m) = -m + 331. Give h(p(g)).\nAnswer: 3*g**2 + 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/576)\/((-3)\/(-8)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 10*n + 13. Let i be z(4). Let t be (2\/(-6))\/(i\/165). Suppose 3*l - 23 = t*x, -4*l - 2*x - 20 = -7*l. Solve 0 = 3*s - l*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -207*d**5\/4 - 1263*d**4\/2 - 5841*d**3\/2 - 6156*d**2 - 21303*d\/4 - 1701\/2 = 0.\nAnswer: -3, -14\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 17*x**2 - 15*x - 54. Let u be b(18). Suppose -14 = 2*g - 4*g. Let a = g - 5. Solve -5*p - a + 22 = u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57041072.\nAnswer: 2, 11, 324097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639187325?\nAnswer: 3, 5, 61855831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250590 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7088 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.6, -2, -1\/3, 2\/3, -18.6, -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 17*h**2 - 26*h. Let r(j) = 16*j**3 + 84*j**2 + 143*j. Calculate 11*l(w) + 2*r(w).\nAnswer: -w**3 - 19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * -1963565.\nAnswer: 115850335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1515114 - -225?\nAnswer: 1515341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -4311?\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 655 (b) 0.2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 600*z**2 + 15481*z - 5729. Calculate a(573).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -1725?\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.69569788 rounded to one dp?\nAnswer: 43.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwlwlllru. Give prob of sequence lr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4797, -4793, -4779, -4749, -4697, -4617, -4503?\nAnswer: -4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/120*(2 + -1)*6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*y = -20 + 7, 2*y - 2 = 0. Suppose -4*o + 45 = 45. Suppose r*x = d + 293, 5*x - 4*d + o*d - 725 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*r + 161, -217 = -3*p - p - 3*r. Suppose 0 = 9*u - 4*u - 55. What is the remainder when p is divided by u + 6\/3 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45974509 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160457*i - 160384*i + 7957 = 0 for i.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 485601*b - 485598.\nAnswer: -3*(b + 1)*(b + 161866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 124*n + 713. Determine l(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6 - 3 - 3*n - 6*n. Let m(h) = -15*h**2 + 33*h - 11. Let g(u) = -4*u**2 + 9*u - 3. Let p(k) = -11*g(k) + 3*m(k). Calculate p(b(c)).\nAnswer: -81*c**2 + 54*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 40 = -11*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 + 10*i - 3. Determine w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 4*d**2 + 7*d - 8. Suppose 34*y = 71*y + 7*y - 11836. Calculate the remainder when y is divided by w(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 8*y + 56. Are y and 25 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28641 is divided by 5202.\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(108\/5))\/(3*(-26)\/((-7020)\/30))?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/10 + 1116\/30?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 71 and -915.22.\nAnswer: -844.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -118604?\nAnswer: 118621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 36*d**2 - 114*d + 3. Give q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from qrssigsss.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/2)\/(0 - 2\/4). Let b be (x\/6 + -2)*0. Solve b = 2*a + 2*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v**3 - 7*v**3 + 2*v**3)*(-v**2 + v**2 - 2*v**2) + (2*v**2 + 3*v**2 - 6*v**2)*(2*v**3 + v - v) - 2*v**5 - v**4 + v**4.\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*h + 3*k, -4*k = -3*k + 4. Let q be (h\/(-536))\/((-1)\/8). Let y(n) = 330*n + 75899. Let c be y(-230). Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s + 383. Let c be y(-38). Solve -18 = -4*r - i, 8 = i + c*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28148\/7 + 4014. What is the common denominator of q and 89\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(((-119)\/(-378))\/(-17)). Calculate the highest common divisor of 90 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*6\/(-6 + 0). Let c(d) = 121*d + 35. Let i be c(h). Calculate the greatest common divisor of 64 and i.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + -0.39. Let p = f + 0.53. Which is the third biggest value? (a) p (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2 + 5. Let s(v) = v**2 + 1. Let c(m) = -3*i(m) + 15*s(m). Let a(g) = g**3 - 2*g**2 + 1. Let t be a(2). What is c(t)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(1 - 2)\/((-12)\/12). Solve 20 = -i + 5*d, -5*i - 27 = d - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1956\/(-7824)*40\/145\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 38*h + 162. Is 19 a factor of x(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/49*-2*-1932?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2950897 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 4 + 2*t**2 - 1 - 6*t**2. Let o(i) be the third derivative of 0*i - i**2 + 0 - 1\/4*i**5 + 7\/24*i**4 + 11\/6*i**3. Give -6*o(s) + 22*z(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 10*l + 5 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 3 = 0. Let p be (-1)\/(-5) + u\/(-5). Let d be (-2 - -2) + (0 - -5). Put p, d, 3 in descending order.\nAnswer: d, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/225 + 35\/36. Suppose 2*x + 507 = 503. Which is the closest to 3\/5? (a) p (b) -0.2 (c) 5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 26. Suppose 0 = 2*k - 8, -3*r + 6*k - 2*k - 31 = 0. Put r, h, 5 in ascending order.\nAnswer: r, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 19*l**2 - 5*l + 11. Let f(i) = 2*i**3 + 20*i**2 + 31*i + 11. Let s be f(-8). Calculate n(s).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053461 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12635*x + 2*x**2 - 2*x**2 - 2*x**3 - 12635*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 712 (b) 2\/5 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 17 - (-33 + 54) - (-2 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4126\/149 (b) 5\/6 (c) -3 (d) 2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 16856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237896 (base 13) to base 3.\nAnswer: 1120221021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 + -5.4. Let g be (4\/((-32)\/24))\/((-3)\/(-1)). What is the nearest to a in 0.2, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/(-45) - (4\/16 + (-828)\/(-144))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -21*i - 64 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 * 0.2.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195515 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3655?\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3072 < -3072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32226 - -12165. What is h rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21283, -85131, -191543, -340519?\n\"Answer: -21282*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94.215 + -94. Let l = z - 4.215. Let s be ((-2)\/(-4))\/(25\/(-10)). What is the third smallest value in l, 10, s?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 6*d**2 - 28*d + 12. Let g be i(9). Suppose -5*s + 25 = o, 4*o - g*s = -54 + 200. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**4 - 14 + 0*i**4 + 17 - 14*i - 6 - i**2 - 4*i**3 in the form d + n*i**4 + h*i + u*i**3 + g*i**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 + 12*l - 6. Let f be t(-5). Let h = 5 + f. Suppose 0 = -5*g + h - 29. Calculate the highest common factor of 49 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o - 140 = 0. Let z = -28 - o. Suppose -z*j = -5*j - 16. What is the remainder when 21 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*d + 8 = 0, 4*b - 24 = 2*d - 0*d. Suppose 3*w - 333 = -b*a, 10*w = -2*a + 5*w + 177. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2225*-9836\nAnswer: 2188.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1618 = -3*g + 2*b, 0 = g - 5*b - 554. Suppose 3*j + g = 2*j. Calculate the remainder when 55 is divided by (-2)\/3 - j\/18.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-11 - -2))\/(34\/(-129)) - (-10 + 3)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = 2*w. Suppose -75156 = -w*c + 1344. Let p be ((-60)\/1)\/(-2*9\/c). Round p to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 2949\nAnswer: 37\/2949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(132) + (sqrt(132)*-2 - sqrt(132)) + sqrt(132)) - sqrt(132))*1)\/((2*(sqrt(3) - sqrt(6)\/sqrt(2)) - sqrt(3) - sqrt(3))*4))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 7*w**2 - 38*w**2.\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.683 - -13.083. Let w = -3 + 3. Which is the second biggest value? (a) w (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -78*p + 7*p + 3*j, -3*j - 228 + 201 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667273 - 18*l - l**2 + 0*l**2 + 18*l.\nAnswer: -l**2 + 667273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -34. Let f(i) = i**2 + 2*i + 16. Let s(m) = 3*m**2 + 7*m + 47. Let b(u) = x*f(u) + 6*s(u). What is the units digit of b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 0. Suppose -3*j - j + 156 = l. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281.202 - 282. Let v = 0.598 + s. What is the second biggest value in -11\/4, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 4*i**2 + 4*i + (-i - 4 + 4)*(1 - i - 1) - 33 - 11*i**2 + 33.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456894*h = -456303*h - 43734 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -106 times 85682\nAnswer: -9082292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 1, n: 7}. What is prob of sequence lnnn?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 20*y + 111. What is b(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g**2 - 9*g**2 + 3*g + 7*g**2 - g**2 to i + r*g + q*g**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 4*t**2 + 5*t + 5. Let y(z) = -z**3 + 15*z**2 - 37*z + 7. Let u be y(12). Calculate j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3))\/t**0*(t*(t\/(t*t**(2\/5)*t))\/t)**32)\/((t**(-2\/7)\/t)**(-30)\/(t*t\/(t\/(t\/((t\/t**(-8))\/t)*t))*t*t**(1\/6))) assuming t is positive.\nAnswer: t**(-17473\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 550728 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*x - 672 + 200 = 0. Let s(f) = -6*f - 14. Give s(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132.709 - 0.291. Let q = r + 211. Let h = 72.3 - q. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7296 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:17 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 4*g - 68. Let f(a) be the second derivative of a**5\/5 - 3*a**3\/2 + 137*a**2\/2 - 10472*a. Give -4*f(z) - 9*m(z).\nAnswer: 2*z**3 + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 1 - 7 + 1. Let x be o(6). Suppose x*c - 974 = 1071. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109987897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.2, -1\/8, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(8\/7)*k**(-3\/4)*(k*k\/(k**2*k))**(-4\/35) assuming k is positive.\nAnswer: k**(211\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000011101110100111100 (base 2) to base 11.\nAnswer: -3690721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 3895.\nAnswer: 27265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 51. Let q be 2\/(-11) - 175\/66. Let w = -7\/3 - q. Which is the smallest value? (a) k (b) w (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 less than or equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30\/(-40) + -5 + 80217\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3006 and 47\/2226.\nAnswer: 1115226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2232203032 (base 4) to base 9\nAnswer: -1308657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 + 6*c - 1. Let d(h) = 2*h**2 - 2*h + 1. Let g(x) = -d(x) - j(x). Let o(r) = 17*r**2 + 9*r. Give 9*g(z) + 4*o(z).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g - 3 + 1 + g + (1 + 6*g - 1)*(29 + 37 - 5).\nAnswer: 364*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955 plus -16351755?\nAnswer: -16349800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/9 + 10*k**2\/3 - 44*k\/9.\nAnswer: -2*k*(k - 2)*(2*k - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 15*w**2 - 24*w + 21. Let t be s(-13). Suppose 71*o - 72*o + 4 = 0. Put 6, o, t, 5 in decreasing order.\nAnswer: 6, 5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*l = -4*r - 340, -350*r = -l - 352*r + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 2*k - 2. Let a(c) = -c**3 - c + 1. Let f = -4515 - -4516. What is f*y(q) + 2*a(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:59 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19234.\nAnswer: 2, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 11*h. Let i(g) = -2*g + 25. Let j be i(h). Suppose -d - 3 = 4*o, -o = d - 3*d - 6. Solve 4*w - t = w - 2, o = -5*w - 4*t + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2552 and 111\/2596.\nAnswer: 150568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 224.\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15992*z**2 - 337*z wrt z.\nAnswer: -31984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let m be (1 + -6)*4\/(-10). Let q(z) = -3*z**2 + z + 2*z**m - z. Determine d(q(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.638106 rounded to one decimal place?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*v + 56*v + 42*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from {r: 4, b: 10, q: 2, g: 3}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - (-8 + 11 + -5 + 15)) + (3 - 15).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1935 and 144050?\nAnswer: 1296450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.1173 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - f**3 + 14*f**3 - 6*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2 + 11336685*g - 58103610 wrt g?\nAnswer: -2*g + 11336685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 25*l - 1. Let y be z(7). Let w = 301 - y. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233\/63 + 32\/9. Which is the nearest to 0.3? (a) i (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (110\/6)\/(9\/135). Suppose -251 = 3*k + 4*c, 2*k + k - 2*c + b = 0. Is -88 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 139 + 9)*(-1 - 2*g + 5*g - 2*g) as z*g + y and give y.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r**3. Suppose -4*d + 6*d - 32 = 0. What is the remainder when ((-27)\/4)\/((-6)\/d) is divided by b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let u(a) = -a**2 + 4*a + 6. Let g be u(6). Let t be (-14)\/(-6) - 4\/g. Let m(p) = -4*p + t*p + 2*p. Calculate m(j(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*d**3 + 3*d**2 - 3*d**2 + d.\nAnswer: -125*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-7 + 13)) + (6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 15\/6)*0. Let z be 9\/(-6)*(-4)\/3. Suppose 0 = -u + 1, 5*u = 2*p + 4 + 1. Solve s = 3*j + 9, 2*g + z*j + 14 = -p*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 95\/2 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32435844 divided by 588.\nAnswer: -55163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -557*x + 520. Let h(r) = -280*r + 261. Let d(g) = 2*a(g) - 5*h(g). Differentiate d(v) with respect to v.\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 74*l + 76. Let d be a(-1). Solve -d*y + 8 = 2*v - 8, 4 = -4*v + 5*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -7. Let l = v - -9\/2. Let d be (-12)\/126*3 - (-24)\/(-63). What is the closest to l in 0.2, d, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.182 + 0.19. Let g = o - 0.02353. Let v = 0.35 - g. Round v to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(70)*3*-2 + sqrt(70)))\/(-3*(1*sqrt(40) + sqrt(40))*-1).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19839)\/(-9725))\/((-3)\/5).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 45.\nAnswer: -16, -5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*s - 334*s = 210. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.27 - -0.27. Let n = w - -20. Let h = -4 + 4. Are h and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975902, -1951814, -2927724, -3903632?\nAnswer: -4879538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7740 or -38707\/5?\nAnswer: -38707\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -625\/58 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 1\/8*v**4 + 0 + 0*v - 1\/4*v**3 + 3*v**2 - 1\/40*v**5. Factor k(z).\nAnswer: -3*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*r + t - 0*t, -2*r - t = -30. What is the remainder when 33 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {r: 14, c: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/39 and -58\/65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 10*y**2 - 7*y - 1. Let c be w(9). Let u(p) = 12 + 4*p**2 - 20 + c*p - 14 - 20*p**2 + p**3. What is the lowest common multiple of 6 and u(15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -0. Suppose 3*y = -2*g + r + 14, -3*g + 3*y = 3. Suppose 5*d + 2959995 = 2*c, 5*c - 883386 - 6516611 = g*d. Round c to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 3:52 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/((-7332)\/117))\/((-1)\/2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 3*b + 120 = 0, 48*b - 49*b = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 + 266. Which is smaller: 135 or s?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.056, -35\/3, 5292?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-506)*23)\/3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723621?\nAnswer: 1723621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3648341 = 5*a - 3648416, f = 4*a - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33767 + -1958405\/58. What is the common denominator of o and -127\/30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*o - 79*l**2 - 6289*l*o + 10*l + 2744*o + 6030 wrt o?\nAnswer: -l**2 - 6289*l + 2744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - -10) - (12 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/50*90\/(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 - 50*g + 3. What is k(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Let g be (-39 - w\/3) + 0. Does 6 divide 2\/(-4) + g\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 4*p + 26, 0 = -4*f - 4*p + 16. Suppose f = -0*s + 2*s - 10800000. Round s to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-15)\/(-9) - (-130)\/(-105))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwuwwooowdwwo. What is prob of sequence wud?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 + 3999*m**2\/5 + 5330667*m\/5 + 2368593037\/5.\nAnswer: (m + 1333)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/45066 and 193\/26100?\nAnswer: 6759900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 785 (b) 0.5 (c) -34 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, k: 16}. Give prob of sequence nkk.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 675757 at least as big as 675757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 - 10*a + 10. Calculate u(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 - 7*p - 3. Let v be t(5). Suppose 5*m = -3*o - 70, -o - v = 4*m + 23. Is o less than or equal to -110\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 40*o**2 + 5*o + 5. Let r(v) = v**2 - 66*v - 285. Let b be r(-4). Let z(u) = -20*u**2 - 2*u - 2. Give b*z(i) - 2*j(i).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -234*d + 239*d + 15. What is the smallest common multiple of (10\/(-2) - -3)*d and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31 from 5730.56.\nAnswer: 5699.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55205, -54667, -54129, -53591?\n\"Answer: 538*y - 55743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k**2\/13 + 8*k\/13 - 128\/13 = 0 for k.\nAnswer: -4, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 14*u**2 + 43*u - 13. Give s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -51. List the prime factors of (503 + 2)*l\/20.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34183 is divided by 8485.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 128?\nAnswer: 27\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2 + 9*t + 4. Let m be k(8). Suppose m*c - 10 = -34. List the prime factors of 2 + 39 + c\/(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747217.\nAnswer: 607, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 140*s - 1 - 1 + 12 - 142*s. Give z(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226554 + -1132466\/5. Solve -4\/5*s**2 - 5776\/5 + y*s = 0 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = 10 - 58. What is the remainder when 49 is divided by 4*50\/(-15)*c\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 0, 2*p = -2*p - 3*h - 21. Let g(y) = y**2 - 2*y - 8. What is the tens digit of g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/56, -0.3, 1, -2, -9, -33 in increasing order.\nAnswer: -33, -9, -2, -0.3, 3\/56, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 638*a - 1917. Let m be k(3). Which is bigger: -120\/49 or m?\nAnswer: -120\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 + -28 - (34 - -60)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96013716*p**4 - 3*p**2 + 13311*p - 397.\nAnswer: 2304329184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/4 - n**4\/12 - n**3\/3 + 3871*n. Let l(f) = -3*f**3 + f**2 + f. What is -7*l(x) - 4*z(x)?\nAnswer: x**3 - 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/456)\/((-688)\/16512).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 3) to base 10\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)\/((q**9*q)\/q*q)*(q*q**(4\/9))\/(q\/((q**2\/q)\/q)*q) assuming q is positive.\nAnswer: q**(-113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 18*d**2 + 13*d - 195. Is n(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 5*g + 1807*g**3 - 4 - 897*g**3 - 901*g**3. Let t(y) = -27*y**3 - 14*y**2 - 14*y + 11. Determine 4*t(r) + 11*v(r).\nAnswer: -9*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3389, 3404, 3437, 3494, 3581, 3704, 3869?\n\"Answer: g**3 + 3*g**2 - g + 3386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = -3*x + 92, 0 = 3*x + 2*g - 62. What is the greatest common divisor of x and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15477*a**3 - 15483*a**3 + 30957*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 - 6)) + -27 + -13 + 67 + -48\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h + q - 181 = 0, q + 179 = 3*h. What is the highest common divisor of h and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**2 + s**3 - 14*s**4 + 0*s**2 + 2*s**3 + 24*s**2 wrt s.\nAnswer: -336*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxs when three letters picked without replacement from wqaxwaawwas.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1)**2*2*1*-1 + ((-4 + sqrt(325))*4 - sqrt(325) - (4*sqrt(325) + 1))**2.\nAnswer: -36 + 170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 56\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.13, 0.3, 2\/9251 in descending order.\nAnswer: 0.3, 0.13, 2\/9251, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 664 - 678 - (-31 + 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14553, 29113, 43677, 58245, 72817, 87393, 101973?\n\"Answer: 2*w**2 + 14554*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.33, -305, -30?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15*1045\/418. Do h and 2\/24085 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1404651060)\/(-3424) + (-2)\/48*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20523 - 35\/(-6 + 1). Let n = -9543 - l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(14)\/sqrt(2) - sqrt(7)) + 2 - ((4 + sqrt(49)\/sqrt(7))**2 - ((sqrt(7) + 4)**2 + 5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 6. Let n(c) = 391*c**2. Give n(i(q)).\nAnswer: 1564*q**2 + 9384*q + 14076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628262287 + 27.\nAnswer: 628262314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1.1541, 3\/8, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 6) + (2 + 0 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*p - 72 + 4, 2*p - 2*j - 24 = 0. Let z = 14 + p. Let f(b) = b**2 - 6. Let r be f(-9). What is the greatest common divisor of z and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6583453 by -18.\nAnswer: 6583453\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7871\nAnswer: 2\/7871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*v**2 - 663\/5*v - 132.\nAnswer: -3*(v + 1)*(v + 220)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -2, 23, -830?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198888 + 524807. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2.5199129\nAnswer: 0.4800871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 49 = 3*p, -l = -3*p + 59. Let h = 70 - 60. Calculate the smallest common multiple of h and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -218, 3348, 6914?\n\"Answer: 3566*q - 3784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z**3 - 13*z**2 - 9*z - 5. Suppose 199*v - 756 = 193*v. Let m(l) = -129*l**2 + 258*l**2 + 1 + 4*l**3 - v*l**2 + 0 + 2*l. What is 2*g(n) + 9*m(n)?\nAnswer: 4*n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 20*r**5\/9 + 1726*r**4\/9 + 36538*r**3\/9 - 30304*r**2\/9 - 28184*r\/3 - 3360 = 0.\nAnswer: -45, -42, -4\/5, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -239*u**6\/40 - 211*u**5\/10 - 683*u**2 - 2. Find the third derivative of j(q) wrt q.\nAnswer: -4302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 18*z**2 - 4*z - 10. Is j(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*x + 283, -x + 28 = 5*o - 258. Suppose 4*q - 39 = o. Let u be ((-24)\/(-20))\/(9\/450). What is the greatest common divisor of u and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f - 4*f - 77 + 61. Let k(n) = -n - 3. Suppose 2*u - 7*u = z + 2, -3*z + 2*u = -11. Give z*j(a) - 16*k(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -266546 + -2?\nAnswer: -266548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, r: 2, y: 2, b: 1, w: 1}. Give prob of picking 1 b and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-210)\/25)\/7)\/(603\/402)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(7\/8))\/((-32116)\/(-377363))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -469 greater than 0.143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17142\/745 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387346286, 387346287, 387346288?\nAnswer: 387346289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -51.1. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/4 - 61*d**3\/4 - 479*d**2\/2 - 195*d + 450 = 0?\nAnswer: -30, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2560 and 29\/68520640.\nAnswer: 548165120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5629617 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1673208 and 1530?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + (0 - -3). Suppose -5*u - k + 5 = -2*u, -15 = -4*u - h*k. Suppose -95 = -u*z - z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*o - 23 = -35, -2*g + 20 = -5*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18053 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: Solve 16*v + 64*p = 4*v + 29*p + 37*p - 58, v - 5*v = 6*p - 94 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2601939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -137555 and -367755571.\nAnswer: -367893126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(200)*1*6)\/sqrt(10) - sqrt(240)\/(sqrt(132)\/(sqrt(11) - sqrt(11)*2))).\nAnswer: -4 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10527.4 and 0.2?\nAnswer: 2105.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -2224, -3337?\nAnswer: -4450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*(-30)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2677 - -1639. Let h be (z\/5)\/((-18)\/339420). Suppose 4*p - 45356 - h = 0. What is p rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 18. Let v = b + 11.5. Let l = -3.50034 + v. What is l rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -36 in increasing order.\nAnswer: -36, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j - 1. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6576 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291 take away 11089?\nAnswer: -8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.036 and -979169.\nAnswer: -979169.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 108*k**2 - 3*k - 24. Let i be m(-54). What is the greatest common divisor of 24 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 602 + -202?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10139837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 12\/(-9). Let q(o) = -35*o - 135. Let w be q(-4). Solve 0 = 3*s + 3*f - 6, w*s - f + p = -1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -660*x**3 + 55*x + 57. What is y(-1)?\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*o + 1965 = -180 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 36 = -106. Calculate the highest common divisor of 28 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534 + 3*d + 458 - 182.\nAnswer: 3*d + 810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16860.\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4589 and -44\/1105.\nAnswer: 390065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2229*y**2 - 5*y - 42. Let v(l) = 4458*l**2 - 11*l - 91. Calculate 13*o(f) - 6*v(f).\nAnswer: 2229*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 + 0*z**3 + 2*z**3)*(0 + 3 - 1)*(2 + 1 - 5)*(-2*z - 48 + 6 + 20) to the form u*z + w*z**2 + d + j*z**4 + i*z**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdjljlijljdllllljdd. Give prob of sequence dll.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 928 and 15515.\nAnswer: 496480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10366878 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1501 - 1494.454. What is o rounded to 1 dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Let m(v) = -v**3 + 2*v + q - 3*v**2 + 2*v - 3. Let j(y) = -25*y - 154. Let h be j(-6). Determine m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1281232, -2562433, -3843634, -5124835, -6406036?\n\"Answer: -1281201*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 510*w - 25. Let k(x) = 85*x - 4. Let l(n) = -25*k(n) + 4*q(n). Let d(y) = -294*y**2 + 592*y**2 - 300*y**2. Give d(l(s)).\nAnswer: -14450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 - (-1 - -2). Let r be (2\/5)\/(2\/(-30)). Let a = r + s. Put -0.1, a, -0.4 in descending order.\nAnswer: -0.1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 1256864.\nAnswer: 1256864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, -0.4935154?\nAnswer: -0.4935154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -142*j**2 + 4. Let n(u) = -141*u**2 + 5. Let v(d) = 6*m(d) - 5*n(d). Let p(x) be the second derivative of -x**4\/6 + 405*x. Give p(v(t)).\nAnswer: -43218*t**4 - 588*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60837)\/95480 + 1 + 2. Let c = f + 1\/1240. What is the common denominator of 7\/11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-1617)\/2156 + (-1916)\/(-80)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 375, 396, 425, 462, 507?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2647*m - 2593*m + 2268 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (31 + -1)*4\/10. Let v(r) = -r**3 + 14*r**2 - 12*r - 32. What is the units digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h. Let w(j) = -2*j**3 - j**2 - 3*j + 3. Give -v(n) + w(n).\nAnswer: -2*n**3 - 2*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/4, -122.8 in ascending order.\nAnswer: -122.8, -4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 172117, 688482, 1549097, 2753962, 4303077?\n\"Answer: 172125*s**2 - 10*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*p - 4*w - 358, 0 = 5*p - 5*w + 365. Let k = -61 - p. Suppose 72 = k*o + o. Solve -6 = -3*v + o*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 64*y - 476. Suppose -5*u - 1 = -16. Suppose -4*s + 5 + 25 = u*h, 6 = -3*h. What is the smallest common multiple of f(-7) and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -137*b + 250. Determine y(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2165, 2146, 2093, 1988, 1813?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 349084 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*y + 3*v, 2*y + 2*v - 4*v - 12 = 0. List the prime factors of (-25)\/(-4)*y\/3*6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 6330 - 22628 = 0. List the prime factors of w.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.4 + 93350720\nAnswer: 93350709.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8397\/18 - -1)*2. Calculate the highest common divisor of u and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/333 (c) 0 (d) -16\/5 (e) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 2\/11, 0.3, 150?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 307252*b**2 - 614491*b**2 + 307257*b**2 - 19*b in the form z + p*b + g*b**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 235*z + 1180, 2150*z = 5*q + 2148*z + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11670112.\nAnswer: 2, 364691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z + 5. Let h be x(8). Let p = 3 - h. Let s = 83 + p. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)\/j)\/j**(6\/5))\/(j**(-13)*j*j\/(j**(-1\/7)*j)) assuming j is positive.\nAnswer: j**(268\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 11 - (-2 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243636 (base 7) in base 13?\nAnswer: 17394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -219*l - 365. Let y(h) = -107*h - 182. Let k(s) = -4*n(s) + 9*y(s). What is the first derivative of k(a) wrt a?\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-546)\/189 - -1*(-1)\/(-1)*2?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.0562 + -0.0562. Let s be (-2)\/(-9) - (-4)\/1800*-145. What is the smallest value in s, -0.05, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*1 + sqrt(13) + -1 - (-1 + sqrt(13) + -3)*-2.\nAnswer: -9 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0 + 0*b + 0*b**3 + 100*b**2 + 1\/6*b**4. Let q(f) = 52*f. Calculate v(q(i)).\nAnswer: 208*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152\/3 + -43. Let v = b + -8. Sort v, 0.3, 1 in ascending order.\nAnswer: v, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39283 is divided by 309.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 - 22*y - 3. Let k(d) = d**2 + 7*d + 1. Let s(o) = -7*k(o) - 2*t(o). Let r be s(6). Let m(f) = -f**2 - 7*f + 10. Let j be m(-8). Sort r, j, 1.\nAnswer: 1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3160\/25280)\/((-2)\/(0 - 24) - 2).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 590 = h, -h - 1825 = 2*h - r. Let s = h + 10376\/17. What is the third smallest value in s, -2\/7, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.3 - 31.86. Let g = -0.24 + l. Sort 5, -0.135, g in ascending order.\nAnswer: -0.135, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -0.14. Let n = -0.199991 + v. What is n rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 1244, 1878, 2520, 3170?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12030238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 - (7 + -2)) - -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 110 + 20 = 0. Suppose 0 = -7*g + m*g - 40. Suppose -a + 24 = -g*x, a - 12 = 3*a + 5*x. Sort 0, a, 1 in decreasing order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4260 divided by 1420?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/24 - 2*o**3\/3 - 3*o**2. Let h be g(-6). Suppose y - 2*c - 3 = 18, -h*c + 84 = 4*y. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/10027 and -46\/9?\nAnswer: 90243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*c + 670 = c, -3*o - 4*c + 496 = 0. What is the highest common divisor of 63 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 416\/9 (b) 0.03 (c) 2 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/105)\/1*24*2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140166 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2 + 70*y + 528. Let z be i(23). Solve -26*a - f = -21*a + z, 1 = a + 2*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f + 237 = -g, 0 = g. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/450 - 31*s**4\/180 + 26*s**3\/5 - 12372*s**2. Determine q so that g(q) = 0.\nAnswer: 13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/19 + 718*m\/19 + 3540\/19 = 0. Calculate m.\nAnswer: -354, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.4, 2\/15, -0.12, 0?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 790*o - 139734. What is b(-264)?\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12.2, -2\/7, 466 in increasing order.\nAnswer: -12.2, -2\/7, 2, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-409 + 200 + 220 - 276*i)*(6*i**2 - 6*i**2 - i**3) to q*i**2 + j*i**4 + m + w*i**3 + u*i and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*o - 2)*(-5 - 4 + 14).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 - 138*m**2 - m - 48. Determine p(-46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2927606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2614*y - 2220 = 2554*y for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17301 (base 14) to base 10\nAnswer: -58213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -191b6 (base 12) to base 6\nAnswer: -441150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(35\/10*-6). Let v(y) = y**3 - 9*y**2 - 9*y - 10. Let n be v(10). Which is bigger: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 470549.946 and 0.126907?\nAnswer: 470549.819093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/(-3) + 1\/(-3). Let w = -332 - -334. Solve -3*l = -3*p, -w*p - 2*p + l = i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 8 + 61*i + 7 in the form t + d*i and give d.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-18)\/h**(-3) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - ((6 - -1) + -6)) + (65 - -2).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 5202 in decreasing order.\nAnswer: 5202, 14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 535100817 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165138627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from frrf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/12 and 121\/20620.\nAnswer: 61860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 2*d**2 + 3*d + 8. Calculate x(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 643*h**2 + 35*h - 209. Is j(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/(((w*w**(-9))\/w)\/w) assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-298 - -209) + 70 - (22 - 0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a5 (base 11) in base 7?\nAnswer: -25014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 368.54668 * -4\nAnswer: -1474.18672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 + 2 = 0. Let r = 8 - 6. Find c, given that 4*c**r - g*c**4 + 3*c**3 + 5*c**3 - 10*c**5 + c**5 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2643795 and 2616?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/5828 + 26957\/14570. What is the common denominator of f and (0 - (-30)\/4) + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 48) + -28 + 23 - (-4 - -1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16 + 88*i**2 + 3*i**3 - 2*i**3 - 80*i**2 + 0*i - 2*i. Let x be h(-8). Solve 12*t - 15*t = x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 41 - 8*w - 41 + 2*w**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((33\/(-22))\/((-2)\/4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-63))\/((-2)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 7 = -3*p, -2*o = 3*p - 5. Is ((-2)\/(-4))\/(p\/422) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttfgtgtgtxtftgftoata. What is prob of picking 1 o and 3 g?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -6251 + 6253. Let d(c) = -30*c + 9. Determine d(b).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90722 + 159228. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 9:43 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 4b40?\nAnswer: 4b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 - -112122331131?\nAnswer: 112122332000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -161065 divided by -23\nAnswer: 161065\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2345*f - 4664. Let j be w(-2). Solve 4*v = -16, -v + j = 6*y - 0*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 - -0.02. Let l = -0.94 + 0.96. Let i = q + l. Which is the closest to -1\/2? (a) i (b) -3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4\/829, 0.5 in ascending order.\nAnswer: -13, -4\/829, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61253104489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jdjdjdjjdjjjddjjdjj.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (76\/57 - 84\/81)\/((-2)\/(-24)). Factor -j + 112\/9*b - 50\/9*b**2 + 2\/3*b**3.\nAnswer: 2*(b - 4)**2*(3*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -8\/811?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 12) in base 5?\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -36, -3, 16, 43 in ascending order.\nAnswer: -36, -19, -3, 16, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -114. Let p = 35.8 - x. Sort 0.5, p, -12 in descending order.\nAnswer: p, 0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 + 1.34. Let c = -144 + 145.03. Let q = c - f. Round q to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5774, -45564, -153530, -363758, -710334?\nAnswer: -1227344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 28 - 20. Let p be (3*(l - 3))\/1. Suppose -4*n + 18 = -2*n. Solve -5*s - g - n = 0, 0 = -3*g + 6*g - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 8436.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1999 + 0.0001. Is 0.0073 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/60 - h**4\/3 - 7*h**3\/6 - 39*h**2\/2 + 11*h. Let q(l) be the first derivative of i(l). Factor q(a).\nAnswer: -(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -38*m + 1. What are the prime factors of w(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -482, -725, -970, -1217, -1466?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242 - 120. Let v = -96 + t. What is the greatest common divisor of 234 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1779\/283372 or -1?\nAnswer: -1779\/283372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-7)*(-20391)\/(-2913).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + -28 + (-648 - -625)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, t: 5}. What is prob of picking 3 t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/18)\/u*u)*u**(4\/9))\/(u*u**(5\/6)\/u*u*u**(8\/7)*u*u) assuming u is positive.\nAnswer: u**(-73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11957\/6 + -1975. What is the common denominator of s and -139\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9568861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.9 + 24. Let g = x + 1.2. Which is the second biggest value? (a) 3\/4 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 70*x**2 - 28*x + 154. What is the units digit of s(39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6663*r - 1939*r = -118100 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1547*s - 7739. Determine x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 288365605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 8*k + 3 = 0. Let c = k - -290. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 72\/5, -3\/2, -5\/4, 2?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y - 2*y + (-3 + 4 - 8)*(8*y - 9*y - 15*y) - 12*y + 11*y - 3*y)*(3*y - 3*y - y + (4*y - 3*y - 2*y)*(-3 + 3 - 2) - 4*y + 4*y - 2*y).\nAnswer: -111*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 11*x**2 - 4. Let t(w) = -w**2 - 2*w - 1. Let g(r) = o(r) - 4*t(r). Factor g(c).\nAnswer: -c*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 166\nAnswer: -5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02984531 - 0.8.\nAnswer: -0.82984531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*l + 13 = 0, 2*v + 0*l - l = -11. Let u = -3 - v. Let o(m) = -1 + u + 25*m - 3. Let y(i) = -3*i**2. Determine o(y(c)).\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 + 220*f**2 + 5*f - 220 = 0.\nAnswer: -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) + (-3*(sqrt(1375)*-1 - sqrt(1375)) + sqrt(1375) - sqrt(1375)) + sqrt(1375))\/(sqrt(20)\/sqrt(4)*-1*5).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-4))\/a)\/a**(1\/6))**(-2\/55) assuming a is positive.\nAnswer: a**(-23\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -s - 4*t + 23, 2*s - 54 = 6*t. Suppose 0 = c + 2 + 7. Let o be s\/c*6\/(-4). Solve -2*b + b = -o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135111.\nAnswer: 3, 29, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124, -467, -1038, -1837, -2864, -4119, -5602?\n\"Answer: -114*l**2 - l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7482, -21, -3\/7, -1.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 10*b + 136 = 0. Suppose 3*q = 4*a - b, 0 = -a - q + 5. Let u be 4 - (3 + 4\/(-1)). Solve -2*k + a*k - c = u, -4*c - 20 = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1223302 + 1?\nAnswer: -1223301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0*x)**32*(x**(2\/7))**(-14))**(-28))**(1\/30) assuming x is positive.\nAnswer: x**(-392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 4*g - 2*g**5 + (-7*g**2 + g - g)*(3*g**3 - 2*g**3 + 0*g**3) + 3*g**5 + 0*g**5 - 4*g**5 + (-1 + 5 - 1)*(-g**5 + 2*g**5 - 2*g**5).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27579\/70 - 394. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 1948 - 2101 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-2)\/3)\/((-5)\/15). Let h(b) = b. Let k(j) = 1. Let o(p) = 3*h(p) - 4*k(p). Let x(l) = -l + 1. Determine f*x(n) + o(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v - 1369791 = 22*v - 1369321 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = 9*k. Let q be (-24)\/(-5)*(-7)\/k. Determine x, given that -4\/5 + 26\/5*x - 26\/5*x**2 - q*x**3 = 0.\nAnswer: -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j*j\/(j**(-13)\/j)))\/j)*(j*(j*j\/((j\/(j\/j**(3\/10)))\/j))\/j)\/j)\/(j**(1\/2))**(30\/13) assuming j is positive.\nAnswer: j**(2281\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4098499\/344410 - 2\/34441. Find the common denominator of ((-5)\/12)\/(-7 + 6) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3961, 7946, 11945, 15964, 20009, 24086?\nAnswer: 28201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 4. Let u be d(-6). Let l = -10 + u. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 1 - 43 + 16 = 0. What is the second biggest value in -3, 0.26, 4\/9, p?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.83459.\nAnswer: -0.083459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/3 - 83*q\/3 - 170\/3 = 0. Calculate q.\nAnswer: -2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**49)**12\/((s*s**37)\/s)**41)**(-31) assuming s is positive.\nAnswer: s**64139","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 124765616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 + 4*p - 3. Let a = -2 - 2. Is r(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135788548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) 2\/5 (c) -5562.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 2*s - 59 + 36632*s**3 + 85 - 2*s)*(-1 + 2*s + 1).\nAnswer: 73264*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/4 + q**2\/2 - q + 5. Let u be s(0). Let i be u\/(-3) - (-15)\/(-45). Solve y - 3*y + j = -8, i = y - 4*j + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1220 and 276587725?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202012101 + 120?\nAnswer: 21202012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-20) - (-4 - (-408)\/(-5)). Let p = r + -8. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 - 32e423?\nAnswer: -32e449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15796 divided by -718?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:32 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 899, 1350, 1801, 2252, 2703?\nAnswer: 3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 637, 737, 821, 883, 917, 917, 877?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 8*p**2\/7 + 6*p\/7 + 36\/7.\nAnswer: -2*(p - 2)*(p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -435 and 0.5?\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*m + 8, 3*l - 5*m = -0 + 2. Suppose -2*b + l*b - 56 = 0. Solve 10*i + 8 = b*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 249, 499, 749?\n\"Answer: 250*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32*(55\/(2310\/63))\/(-3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1 + 3 + 7 - 1 + (0 - 2 + 1)*(1 + 1 - 4))*(k**2 + 8*k**4 + 17*k**4 - k**2).\nAnswer: 200*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 24*o + 10*o. Let v(t) = t - 1. Calculate b(g) - 2*v(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -937.947127 to one dp.\nAnswer: -937.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 19, -0.3, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2432*k**2 - 4867*k**2 + 2437*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-1)*(-4)\/(-12). Let d = -5 - -2. Suppose 0 = -5*m, 2*x + 5*m = 3*x. Put x, v, d in decreasing order.\nAnswer: v, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/8, 3, -0.2, 4\/9, 194212, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12053.479094 rounded to 0 dps?\nAnswer: -12053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 25\/3. Let r be (-2)\/9 + x\/(-81). Sort r, -3, 0.5 in increasing order.\nAnswer: -3, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272981, 550913, 828847, 1106783, 1384721, 1662661, 1940603?\nAnswer: 2218547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 2710?\nAnswer: -75880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8488, 16603, 24348, 31723?\n\"Answer: -185*n**2 + 8670*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004872608698 to 5 dps.\nAnswer: -0.00487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -5 (c) 8 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 82. Calculate the lowest common multiple of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219825 divided by -41?\nAnswer: 219825\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 671195319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5505609 to the power of 1\/2, to the nearest integer?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11008150 rounded to the nearest one hundred thousand?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 803, 1600, 2397?\n\"Answer: 797*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/75)\/(-3 + 29\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (203\/(-28))\/(2\/32). Let x = -58 - b. Suppose 126 = 5*u - 3*o - 0*o, 5*o = 2*u - x. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162 + 175. What is the nearest to y in 1, -1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-56)\/1816)*2. Suppose -11*j = -976 - i. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*q = 25, 2*t - 8*q = -9*q + 5. Is t smaller than 1\/740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0 + 1\/5*a**5 + 0*a**4 - a**2 - 4*a + 1\/15*a**6 - 2\/3*a**3. Factor l(i).\nAnswer: 2*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0.5, -0.06, 5, 10\/9 in increasing order.\nAnswer: -37, -0.06, 0.5, 10\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2308*q + 1064. What is the thousands digit of s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/2 (b) 0.2 (c) 151\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4101 + 4961. Calculate the greatest common factor of 30 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 37. Suppose 5*p + 50 = -4*m, 3*m + s = -2*p + p. Let r = p + 23. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-28)*(-6)\/(-45).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.5 (c) -13\/25 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, y: 1, a: 1}. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -3907*n**4\/6 - 7*n**3\/6 - 2*n**2 + n. Let u be g(-4). What is u rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 636799*q - 1 - 2 + 637010*q.\nAnswer: 211*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/100 of a gram?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970670690?\nAnswer: 2, 5, 11, 8824279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 7*t + 104. Suppose -24937 = 2*c - t*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13918, -13550, -13192, -12850, -12530, -12238, -11980, -11762?\nAnswer: -11590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 497+9278\nAnswer: 9775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 1. Let c(n) = -56*n**2 - 3. What is -c(w) - 4*v(w)?\nAnswer: 60*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, -8, -65, -170, -335, -572?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 3*l. Suppose -5*n = -2*i + 10 + 1, n + l*i + 9 = 0. Is 196 + -1 + n - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 27.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 2*r - 3. Let n be k(1). Suppose -6 = -4*i + n*i. Solve 6\/5*y + 2\/5*y**i + 6\/5*y**2 + 2\/5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4922*q**2 - 2*q + 1. Let z be f(1). What is the third derivative of 2*x**3 + z*x**5 - 4921*x**5 + x**6 - 34*x**2 wrt x?\nAnswer: 120*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, v: 2, c: 1, x: 2}. What is prob of sequence xcvx?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -17994\nAnswer: 3\/5998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b - 10 = -o, -4*b + 20 = 4*o. Suppose -801 = -5*m + 4*i - b*i, 0 = -2*i - 8. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.5 or 1?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -402*g - 15680. Give t(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/3)\/f**15*(((f\/f**(7\/10))\/f)\/f)**(-2\/95) assuming f is positive.\nAnswer: f**(-23699\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 54*q**5\/5 - 1467*q**4\/5 + 13863*q**3\/5 - 52151*q**2\/5 + 64931*q\/5 - 5046 = 0.\nAnswer: 5\/6, 1, 6, 29\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 9*w**2 + 10*w - 13. Let z be g(8). Suppose r - 5*a = 30, -5*a - 32 - 8 = -z*r. Solve -2*i - 3*x + 6*x = 4, r*i - 2*x - 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + a + 2*a + (2*a - a - 2*a)*(-2 + 3 - 3)*(-6 + 2 - 1 + (5 + 0 - 1)*(1 - 6 + 4)) to p*a + t and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - 3) + 2)\/(-1 + 56\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/16 + 41*k**3\/12 + k**2\/8 - 41*k\/4 - 299. Factor b(a).\nAnswer: -(a - 41)*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 - 1. Let b be o(-1). Suppose -51 = 5*h + 3*v - 187, 4*v = b. Suppose -2*y - y = 2*k - h, 0 = -5*y + 20. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 12*c - 644. Calculate the smallest common multiple of 12 and c.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605\/5313 - 43\/301.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 5, e: 1, z: 8}. Give prob of sequence eu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 19. Let t = -83 + 142. What is the remainder when t is divided by c\/2 - (-7 + 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*n + 36844, -2*w - 12*n + 9*n = -14756. Is 97 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + -2 + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**3\/12 + 225*i**2\/8 + 180*i - 1652. Let w(d) = 0. What is d?\nAnswer: -3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304398.\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12846133584 - -201\nAnswer: 12846133785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 2:02 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose 0 - 6 = -u*x. Suppose x - 1 = -i, n - 40 = -3*i. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from eokbkkkbebbbdoddeb?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3124\/14139 + 2\/1571. Let v be (-3)\/(-7) - 570\/105. Which is the second smallest value? (a) q (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:05 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 22*o**5 + 5*o**4 - 11*o**2 + 5. Let k(y) = 11*y**5 + 2*y**4 - 5*y**2 + 2. Let s(z) = -2*h(z) + 5*k(z). What is the third derivative of s(a) wrt a?\nAnswer: 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*o*s*u**3 - 5*f*o*s*u + 10*f*s*u**2 - 2*f*s - 751*f*u**3 - 2*o*s*u**3 - 5*o*s - 2*o*u**2 wrt u.\nAnswer: -6*f*o*s - 4506*f - 12*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 697*f**2 - 1886*f**2 - 1 - 521*f**2 + 3*f to c*f + u*f**2 + r and give u.\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8510\/(-105) - -81) + (-2)\/7. Let i = -0.15 + 0.02. What is the nearest to 1 in 3, 2, t, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 94532.23 seconds?\nAnswer: 94532230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 27*t**3 - 2*t**2 + t - 1. Is y(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n. Suppose -4 = -3*q - 25. Let o be 3 + 2\/((-12)\/(-9))*2. Let j(w) = -3*w + o*w + 10*w. Calculate q*v(s) + 4*j(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/371903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.4 * 328.\nAnswer: 16859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -2\/13, 1\/8, -2 in decreasing order.\nAnswer: 1\/8, -2\/13, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203213 (base 4) in base 9?\nAnswer: -15324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. List the prime factors of -2*i*(-2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 5. Let y(j) = j**3 - 8*j**2 - j + 2. Let k be y(l). Let t = k - -9. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1630691*i = 1630695*i - 5*a - 37, -40 = -5*i + 5*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43024623*w**5 - 2*w**3 - 149413268*w.\nAnswer: -860492460*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -v - 4*s, 46*v - 45*v = s + 187. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88277, 176517, 264711, 352853, 440937, 528957, 616907?\nAnswer: 704781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -2*g + 2*i, -g + 10 = 2*i. Let o(v) = 2*v**3 - 5*v - 8. Let f(k) = -2*k**3 + 4*k + 7. Let c be -4*((-7 + 2)\/20)\/(1\/5). What is c*o(r) + g*f(r)?\nAnswer: -2*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u + 876 + 488 = 419 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54296545?\nAnswer: 5, 10859309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 8. Calculate the remainder when 10\/10*-1*q - -6 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2201*u**2*w + 3*u**2 - 5*u*w + 3*w - 137670 with respect to u.\nAnswer: 4402*u*w + 6*u - 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 4342 = -7*o + 3*d, 2*o - d - 1728 = 0. Let x = 1697 - o. Suppose x = 7*r - 765. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 15. Let i be o(-4). Let g(z) = 24*z**2 - z. Let n be g(i). What is the highest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 23 - (-634 + 648) - (-1 - 72 - -2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 67.4. Let k = 145\/4 - 36. What is the nearest to -4 in k, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 - (0 - -1)) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -10 - 0. Suppose -4*m + 2*c = 2, m + 2*c + 11 = -c. What is the nearest to b in m, -0.3, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8515202 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeueueeueuewuuuuee. Give prob of picking 3 u.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13 - 565*j - 5*j**3 + 21*j**2 - 557*j + 1105*j - 10*j**2. Let m(d) = 3*d**3 - 6*d**2 + 9*d + 7. Give 6*f(i) + 11*m(i).\nAnswer: 3*i**3 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40528 is divided by 13355?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 7*z**6\/30 - 6*z**5\/5 - 13*z**4\/20 + 76*z**3\/15 + 18*z**2\/5 - 16*z\/5 + 266. Find m, given that a(m) = 0.\nAnswer: -1, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 497 + 119. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9082573 is divided by 583?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(8) + -3*sqrt(200)))\/(-6*3*sqrt(72)).\nAnswer: sqrt(7)\/1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31957 - 32239.97. Let d = -282 - t. Round d to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 172, 3519 - 3566 = 4*s + v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t**2 - 8*t - 10. What is f(-4)?\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. Let t(l) be the first derivative of -435*l**2\/2 - 1274. What is q(t(a))?\nAnswer: 189225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -905719 + 1282446. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 70. Let r = -4 - g. Let h = r + 31.999896. Round h to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 170, 155, 126, 77, 2, -105, -250?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 50. Let w = k - -23. Is w a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1053) + (1*sqrt(1053) + sqrt(1053))*-1 + -4)**2 + -5 + (-2 + (sqrt(1053) - (sqrt(1053) + -1)))*-5)*-3.\nAnswer: -3207 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ill when three letters picked without replacement from {l: 2, c: 4, x: 2, e: 1, i: 1, t: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 7. Suppose -4*h + 12 = 3*r - 4, 5*h - 20 = -5*r. Suppose 2*m - 2*n = 10, -2*n - 12 + 4 = r. Let d be (-2 - (-3 - m)) + -7. Calculate b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -31563\/2 = -15782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 635123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 57, 122, 185?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 + 5*z - 7. Let t be n(5). Let g(v) = v**2 + 8*v + 7. Let k be g(t). Let a = -3\/17 - -1\/102. Is a equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6897183 and 85294.\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-2)\/(0 + 2). Let t be ((-40)\/(-14))\/((-4)\/(-14)). Suppose t*n = o*n + 35. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*p**2 + 16*p**2 + 13*p**2 + 12*p**2 - 143 + 208*p**3 wrt p?\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 523\/35 - 74\/5. Let m = -8 - -20. Suppose 3*o = -0*o - m. Which is the second smallest value? (a) y (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36358, -72717, -109062, -145387, -181686?\n\"Answer: l**3 + l**2 - 36369*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + bc?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:09 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 57*y + 253. Calculate the smallest common multiple of w(61) and 113.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 + 7*h + 2. Let w be t(-7). Let r be (w + -2)\/(0 + 2). Let y be (-4)\/(-10)*(-6)\/12. Is r equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 9*w**2 + 7*w + 2. Let t be k(-8). Suppose -7*z = -2*z - t. What is the second derivative of -4*u**2 - 2*u**3 - 4*u + u**2 + 3*u**z wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725462113*c**3 - 3*c**2 - 725462124*c**3 + 8*c**2.\nAnswer: -11*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078185193667 plus 1.8?\nAnswer: 1.878185193667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7238 and 105.\nAnswer: 108570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 + 100*m**4 - 485*m**3 - 310*m**2 + 1700*m - 1000 = 0?\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - -8. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.823*-7.\nAnswer: 5.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110111111000000 - -110110011?\nAnswer: -1111110111000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcuvjlcjuucl. What is prob of picking 2 u and 1 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -32. Let h = z - -6. Solve 4\/3*a**h + 5\/3*a + 1\/3*a**3 + 2\/3 = 0 for a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2554*s**3*z - 9*s**3 - 14*s**2*z - 9*s*z - 22*z wrt s?\nAnswer: -15324*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/838116 and -137\/279372.\nAnswer: 838116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - o + 6. Suppose -2 + 16 - 78 = -16*k. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u**2 + 2*u + 22. Let r be g(0). Let y(p) = -p**3 + 4*p**2 + 6*p + 6. Let v be y(5). Calculate the highest common divisor of r and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/20 - 23*m**4\/4 - 47*m**3\/2 - 71*m**2\/2 - 14*m - 60. Factor i(v).\nAnswer: (v - 71)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 < -23245489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 6*u + 1078. Let l = u + 82. Solve 4*d - l*c = 14, 0*d - 11 = -d + 5*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16807596*i**5 + 36693*i - 213?\nAnswer: -336151920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + d**2 + 0*d**2)*(6*d - d + 0*d + (5 - 2 - 2)*(1 - 1 + 3*d) - 2*d + 0 + 0) to n*d**3 + c*d + h*d**2 + t and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349 - -111. Let i = 97 - g. List the prime factors of i.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 7)*(76*b - 54*b**3 - 76*b) + (b**2 + 0*b**2 + 0*b**2)*(2*b - 4*b + 3*b).\nAnswer: 217*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2325)\/(-7750))\/(6\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64543889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/12*18\/7. Suppose 4 + a = 4*u. Suppose 5*k - u*i - 73 = 129, -193 = -5*k + i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 24. Put u, 2, -1 in increasing order.\nAnswer: -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-14)\/(-112)*6*18\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 20 + 100. Suppose -2*z - p = -0*z. What is the remainder when z\/4 + 0 + 36 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*s - 4*b + 11, -4*s + 19 = 5*b. Let w(n) = 10 - 4*n + 1 + 3 - s. What is w(9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -1\/2, 2, -3 in ascending order.\nAnswer: -3, -0.6, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*z + 2*z**4 + 0*z**2 + 1 + 2*z**2 - z to the form f + l*z**2 + r*z**3 + i*z**4 + o*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 18*f**2*q**3 + 5*f**2*q**2 + 3*f*q**3 + 35*f*q + 1 wrt f?\nAnswer: -24*f**2 - 36*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 13*x - 290. Suppose 20 = 2*l - 6*w + 4*w, 5*l + 2*w = 43. Let n = -3 + l. Calculate the remainder when x is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**4 - 3797*u**3\/2 + 186727*u**2\/2 - 113803*u\/2 - 69135\/2 = 0.\nAnswer: -3\/8, 1, 55, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 60 + 48*u**2 - 46*u**2 + 38*u**3 + 5. Let a(h) = -75*h**3 - 5*h**2 - 131. Let j(m) = 2*a(m) + 5*r(m). What is the derivative of j(w) wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15429.\nAnswer: 3, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(1\/4))*p)\/p)\/p**(1\/9))\/((p**(3\/4)\/p)\/p*p**3\/p) assuming p is positive.\nAnswer: p**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 7*w)*(-229 - 305 - 248).\nAnswer: -5474*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 1\/2 (b) 0.6 (c) -2534 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**8\/840 + 2*h**7\/525 - h**5\/75 - h**4\/60 + 2*h**2. Let n(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 1:06 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -45*f - 1. Let t(z) = 315*z + 6. Let s(l) = 15*p(l) + 2*t(l). Let m be s(-3). Calculate the common denominator of -133\/6 and m\/(-28) + -2 + 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u + u)*(1 + 2 - 1) + 2*u - u - 2*u - 2*u - 8*u + 2*u + (-2*u + 4*u - 3*u)*(-1 - 1 + 9) - 6*u + 4*u + 3*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*s - 1160 - 240, 2*s + 2788 = -4*j. Let a = j + 529. Is a at most as big as -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 542 = -270. Let s be p\/(-7) - (-1 - -4). Calculate the highest common divisor of 208 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/5 and 0.1617086 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x - 2. Let i(v) = -3*v**2 - 3*v - 196. Give i(z) - 2*l(z).\nAnswer: -z**2 + 3*z - 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)\/x)**45\/(x**(-1))**(-46))\/((x**(5\/2)\/((x\/x**(-4))\/x))\/(x**(-2\/7))**18) assuming x is positive.\nAnswer: x**(-1325\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5\/((-5)\/2) + 7 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - 10*p + 44. Calculate h(5).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:13 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17*l + 0*l**3 + 79*l**2 + l**3 - 63*l**2. Let v be a(-17). Sort 1, 5, v in increasing order.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/35 + (-6)\/10. Suppose q = -0*q. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*j - 49 = 0, -70 = 5*u - 24395*j + 24400*j for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -1\/7 (c) 18 (d) -0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8335 - -149945\/18. Let r be (-442)\/(-6) + 2\/(-3). What is the common denominator of r\/(-5)*(-20)\/56 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3097545*x**2. Let i(m) = -14*m. What is s(i(p))?\nAnswer: 607118820*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6\/5, 2, 5, 1\/6 in increasing order.\nAnswer: 1\/6, 6\/5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-6))\/(-4)*-12. Let v(u) = u**3 - 7*u**2 - 6*u - 9. What is the units digit of v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*a - 5*h, -4*h - 1 = -5. Let p = 1 + -0.9. What is the biggest value in p, -0.4, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndoddoddddoddoddoddd. What is prob of sequence nood?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - (-420)\/25. Suppose -3*m = -4*k + 35 + y, 4*m = -2*k - 62. Let u(r) = -r - 12. Is 3 a factor of u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 142*y - 11. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 88*b**2 - 6*b - 3. Let q(r) = -3*r**3 - 89*r**2 + 4*r + 2. What is -2*p(k) - 3*q(k)?\nAnswer: -k**3 + 91*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.5 times 5.594305?\nAnswer: 215.3807425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 - 68*h**2 - 1312*h - 2320 = 0.\nAnswer: -10, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888.513 + 0.11.\nAnswer: 888.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35838 is divided by 1635.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) 0 (d) 5 (e) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 7. Suppose 0 = -0*i + 3*i - 15. Let s be z(i). Factor -b + 5*b - s*b + b**2.\nAnswer: b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8280)\/30)\/((-3)\/(-2) + -2). Suppose -72*t - z = -68*t. Which is smaller: -137 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(2240\/(-42))\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42407 (base 10) to base 6\nAnswer: -524155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 3.01. Let z = -1.8 - f. Let m = z - -1.6. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 608 - 604. Which is the fourth smallest value? (a) 5 (b) 1 (c) -0.03 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9719.\nAnswer: 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3300672306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-13 + -6) - (-29 - -5)) + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a2a707 (base 11) in base 3?\nAnswer: 10010000210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6)\/((-3)\/(-6)). What is the third derivative of 4*j**2 - u*j**2 + 2*j**2 + 5*j**6 - 4*j**6 wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34033.7 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - (31 - 67)) + 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*q**2 - k**2*q**3 - 2*k**2*q + 36*k**2 + 852*k*q**3 - 3*q**2 - 4*q wrt k.\nAnswer: -6*k*q**2 - 2*q**3 - 4*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -254112 smaller than -256575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 819 and 3.\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394319 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -139\/81 (b) -2\/13 (c) -17\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(4\/(-8))\/(-1). Suppose i = v*i + 3*q - 25, 7 = -i - 3*q. Suppose -i*j = -13*j + 305. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 1. Let k be i(3). Suppose -5*c - 7*m + 95 = -3*m, 3*c + 3*m - 60 = 0. Suppose c = -3*d - 2*d, 17 = o - 5*d. Solve -o = -5*x + k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, i: 3, o: 5}. What is prob of picking 3 i?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 153, 563, 1465, 3105, 5729, 9583?\n\"Answer: 41*x**3 + 123*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:10 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*v**5 - 2*v**2 + 247*v wrt v?\nAnswer: -500*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**6*d))\/(d\/(d*(d**(2\/15)*d)\/d*d*d)))\/((d*d**3)\/(d*d**7*d))*(d*d\/(d**(-1)*d)*d*d*d**2)**(-2\/69) assuming d is positive.\nAnswer: d**(4126\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 3 + (-450)\/(-30). Solve -x = -5*u + 3*d - 7, 2 = 2*u - 2*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -1 - (-13088 + 3). Calculate the common denominator of 137\/48 and (-6)\/11 + t\/(-17160).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 428*c - 4 - 7 + 3 - 429*c. Suppose 22 + 58 = 8*v. Let d be v\/10*0\/(-1). Calculate j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/4 - 2*n. Let q(s) = 0*s + 2*s + 7*s - 4*s. Calculate g(q(m)).\nAnswer: -75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 3, b: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91721213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r. Let s be (-2)\/15*(-63)\/28. Let d = -43\/110 + s. Which is bigger: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7904*w - 7906*w - 9 = x, 20*x + 36 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/560)\/((-2)\/10)*7\/2. Let r(v) = v**2 - v - 1. Let f(t) = -4*t**2 + 2*t - 17. Calculate n*f(d) - 2*r(d).\nAnswer: 2*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 - -13.3. Let t = 2.7 - q. Let s = 1.3 - 0.3. What is the closest to -4 in 1\/11, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 859188, 859212, 859252, 859308, 859380?\n\"Answer: 8*r**2 + 859180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/(c\/((c\/(c*c*c**(-7)))\/c)*c)*c*(c**(4\/7)\/c)\/c*c\/(c**(1\/4)*c)*c*((c*c*(c\/((c**(2\/11)*c)\/c))\/c*c)\/(((c**(-8)*c)\/c)\/c))**(-14) assuming c is positive.\nAnswer: c**(-49013\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + u - 2 + (0 + 2 - 4)*(-2*u + 2 - 2) - 1 + 2*u + 1)*(-9 - u**3 + 0*u**3 + 7) to n*u**4 + v + y*u**2 + d*u + q*u**3 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 95*s + 50*s + 29*s + 1.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i\/(i\/i**(-13)))\/i)*i*i**(-31))\/(i**31\/i*(i*i**(-8\/3))\/i) assuming i is positive.\nAnswer: i**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481503 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/73 (b) -1\/5 (c) -4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 24*c - 3*a = -7, -7 = 3*c + 5*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(7)*-3*6.\nAnswer: -108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 18. Let j be a(-4). Let p(f) = -4*f + 2*f**2 - f**2 + 0*f**j + f. Let m = -3 + 6. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**4 - 60050*r**3 - 672677*r**2 + 559524*r = 0.\nAnswer: -6661, -12, 0, 7\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.096036 - -2.9581101. Let t = 2.9378309 + i. Let m = 2.8 - t. What is m rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -665950, -665957, -665998, -666091, -666254, -666505, -666862?\n\"Answer: -3*i**3 + i**2 + 11*i - 665959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217485 = -9*k + 79326 - 90702. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20229, 20109, 19981, 19845, 19701, 19549?\n\"Answer: -4*c**2 - 108*c + 20341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4326153\/175 - -24721. Find the common denominator of -139\/350 and x.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-50))\/((-12)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 1, k: 3, w: 11, a: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose -s*p - f = 4999, 2*f - 3996 = 4*p + 6*f. What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15*(-2)\/(-3))\/181. Let r = 3730\/1991 - t. Find the common denominator of 4\/(-6)*((-291)\/(-8) - 12) and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -749 in 2, -2\/9, 0.5, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 + 7*k**2 - 5*k + 6. Let f be b(-4). Let s = f + 56. Solve -6*y + 20 = -y - 3*a, -s*y - 8 = 2*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -10)\/(6*(-9)\/54). Solve -t = -n*c + 7, 41*c - 40*c - 2*t = 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61652.7 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 + 10*p**2 + 2*p + 6288. Let r(v) = -10*v**3 - 35*v**2 - 7*v - 18864. What is 14*m(z) + 4*r(z)?\nAnswer: 2*z**3 + 12576","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/114807 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 17. Let h be c(5). Suppose -m = 2*b - 36, -3*m = 3*b + h*b - 109. List the prime factors of m\/(22\/6 - 3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -101\/10 (b) -3 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -771539 - -1141596. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760 by 1.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 9\/8*y - 3\/8*y**3 + 3\/4.\nAnswer: -3*(y - 2)*(y + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/22 and 29\/9720?\nAnswer: 106920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 479*b - 56368 = 0 for b.\nAnswer: -271, -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/(-4)*(-2)\/(-1). Suppose 0 = -2*m - 8, -5*m = x + 2*x + 2. Let a = 1 + x. What is the highest common factor of c and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10011110010110100?\nAnswer: -10011110010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/4 + 43*o**4\/6 - o**3\/6 + 49*o**2\/2 + 6*o + 2. Find the second derivative of c(r) wrt r.\nAnswer: 30*r + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*s - 5*l, 0 = -5*s - l + 6*l + 10. Let j(r) = -215*r + 4. Let u be j(s). Let m = u + -82. List the prime factors of m.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 7. Let p be j(8). Let k be (-9)\/27 + p\/9. Find the second derivative of 57*b**2 + k*b**5 + 13*b - 57*b**2 wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + 9 + -16 - 3 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sce when three letters picked without replacement from eoohsfc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h. Suppose h*d + 5 = 5*d. Let t = -0.1 - 3.9. Which is the closest to d? (a) 1\/4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f + 2*w = 125, f - 5*w - 111 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69918 and -0.3?\nAnswer: 69918.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 4*c - 10. Suppose c*i - 13*i = -60000000. What is i rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1012 - 1029) + (-3 - -11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*p*z**5 - 1017334*p*z**3 - 3*p*z**2 + 907*p*z + 12751*p wrt z.\nAnswer: 3540*p*z**2 - 6104004*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -435.\nAnswer: -435, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 3*x - 2*x)*(3625 + 487*x**2 - 3625) + 4*x**3 - x**3 - x**3 + (1 + x - 1)*(x**2 + 3*x**2 - 2*x**2) as u*x**3 + i*x**2 + a + o*x and give u.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98140 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13185220751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 4*l - l + (-4 + 4 + 2)*(-4 + 4 - l))*(-42*l - 22*l + 2*l) as d + p*l**2 + j*l and give p.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:20 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -340, 0, 1, -5 in descending order.\nAnswer: 1, 0, -5, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 - 4209*f**2 - 37638*f = 0. Calculate f.\nAnswer: -1394, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 6 = -0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -r - 3*q - q, -2*q + 362 = -4*r. Let w = -89 - r. Is 22720\/36 - w\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.33671 - 303.64939. Let q = p + 309.633. Let i = 0.0531 + q. What is i rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose 12 = x*o - o. What is the second derivative of -5*a - a - 3*a + o*a + 9*a**5 wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**6*y - 47153*c**4*y - 2117*c**2 - 3*c*y + 3*c - 2*y wrt c?\nAnswer: 360*c**3*y - 1131672*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-10))\/((-628)\/(-80) - 8). Solve -125*t + 93*t + 132 + 4*t**2 - s*t**2 = 0.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 297 + 99. Suppose 118*h = 117*h - 5*t + 59, 0 = -6*h - 3*t + 138. What is the remainder when g is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r*r*r\/(r\/(r**(-3)\/r)))**(-45) assuming r is positive.\nAnswer: r**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/3 - 33*z**2\/2 + 6*z. What is the derivative of r(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359 divided by -3\nAnswer: -359\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 4 - (-104)\/13. Let r(w) be the first derivative of 0*w**u - 2\/3*w**3 - 4 + 0*w. Let s(p) = 8*p**2. Give s(r(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + -5*(-21)\/(-35)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*s - 218*s - 23770 = -3*n, -2*s + 15842 = 2*n. Is n a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 4. Let r be k(-4). Suppose r*d - 2*f + 15 = 3*d, -2*d + 21 = 5*f. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:41 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 314237267 and 0.2?\nAnswer: 62847453.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0.127, -25 in ascending order.\nAnswer: -25, -4, 0.127, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:18 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/9)*m*m*m*m*m**(-4\/3)*m**(-1\/3)*m*(m*m*m*m\/((m*m\/m**(2\/9))\/m))\/m)**(1\/12) assuming m is positive.\nAnswer: m**(55\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 - 20 = 0. Let c = d + 1. Is ((-2)\/c)\/((-8)\/52384) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-16) + 9380\/32 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 5*f**2 + 21*f + 35. Calculate x(10).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - (5 + 2 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6372 a factor of 1196232855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - -3 - (3 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - 18*p + 3. Find the second derivative of p*n - 13*n - 3*n**4 + 4*n - 3*n**4 wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36178, -23, 1.\nAnswer: -23, 1, 36178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, w: 3, y: 2, u: 2, l: 1, o: 2}. What is prob of picking 1 w and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 750 + 510. Let u = 561 - 360. Let v = m - u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -24) + (-8)\/4. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in 7.6, 1\/8, -0.5, 2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8190812.\nAnswer: 2, 7, 43, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + 11 - 168 + 5)*(-m**2 + 7*m**2 - 2*m**2) in the form p*m**2 + y + g*m + r*m**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-1 - 2 + 0)*(-2*w + 0*w + 0*w) - 4*w - 4*w - 3*w to y*w + c and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + ((32 - -2) + (23 - 32) - 2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1609159*v**4 + 2*v**3 - 5928246 wrt v.\nAnswer: 6436636*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/13 + 824*x**3\/13 - 30474*x**2\/13 + 263844*x\/13 + 656208\/13 = 0. What is x?\nAnswer: -2, 21, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = 3*v, -4*r + 2*v = 6399990. What is r rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/20 + 2*x**5\/15 + x**4 - 16*x**3\/3 + 3*x**2 - 39. Factor w(r).\nAnswer: -2*(r - 2)*(r + 2)*(3*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204232 (base 5) in base 8?\nAnswer: -15241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*h + 7, -h - 2*h + 1 = -5*a. Suppose 3*y + 41 = -34. Let b be y*(1 - 21\/15). Solve h*l + 8 = 2*i - i, i = 3*l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16088*d + 5445. Is z(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86448377 is divided by 1679?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -517.62 + -3.38. Let z = w - -516. What is the fourth smallest value in 0.2, z, 0.4, 2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72975523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 41. Suppose -j*x + 11*x = 81. What is the remainder when (5\/(-2))\/((-1)\/8) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((6\/(-9))\/((-4)\/3)). Suppose -g*d + 15 = -d. Calculate the remainder when 26 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 111587 and 111586 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/120 - 7*q**3\/2 + 23*q**2. Let s(t) be the first derivative of v(t). Let h(g) = 15*g. Calculate s(h(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 1, y: 2, p: 1, f: 4, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(190)*-4 - sqrt(190))\/sqrt(10).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 88*s + 14442. Give w(-172).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.99527 to 2 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6191 by -7.\nAnswer: 6191\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 253. Let p be q(44). Calculate the greatest common factor of p and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.15 + 52.85. Let s = -54.15 + j. What is s rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 14.5. Let g = -15.2 - v. What is the closest to g in 0.2, -1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.011996 to two dps.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*y + 381 + 234 = 0, 2*j - 243 = y. Let d = -27 + 67. What is the remainder when j is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = a - 4, -a = s - 3 + 1. Let w(k) = k**3 - 5*k**2 - k + 7. Let g be w(5). Let n = g + 1. Solve a = 2*y - n*o, o = -2*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 2261 = -47*y. Is -323 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**4))\/(s*s\/(s**(1\/3)\/s))*s**2\/s**(-1\/2))\/(s**7*s**(-3\/7)*((s*s\/(s\/(s*s**(-2\/3)*s)*s))\/s)**(10\/7)) assuming s is positive.\nAnswer: s**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/3 - -3) + 7. Suppose 5*v = b*v - 1430. Round v to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n + n - 5*n + (n - 3*n + 4*n)*(-4 + 0 + 0) + 30*n + 26*n + 27*n + (4 + 3 - 6)*(2*n - 6*n + 3*n).\nAnswer: 75*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 81\/6. Suppose r + z - h = -5, 0 = -5*z. Calculate the remainder when 15 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 39 + 303. Let i(g) = u*g + 3 + 33*g - 78*g + 3. Determine i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.509176 litres to millilitres.\nAnswer: 4509.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42661245.\nAnswer: 3, 5, 11, 17, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33 + 3*l**2 + 8*l**2 + 6*l - 4*l**3 + 3*l**3. Let x = -1808 + 1816. List the prime factors of s(x).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -42. Calculate the smallest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/7, -9, -0.4 in decreasing order.\nAnswer: -0.4, -4\/7, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 r when four letters picked without replacement from {a: 4, u: 2, r: 10}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (2 + -3))*(-2)\/5. Sort j, -3, -14 in decreasing order.\nAnswer: j, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 2*s + 1. Let j be v(-3). Let g be 1\/(-6) + 2 + 22\/(-12). What is the nearest to 0.1 in g, 0.3, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 523 + -728. Let k = 205.5 + x. What is the nearest to 1 in 3, 2\/9, k, 70?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -4 + 6 + -1 + 97. Let q = d + -296\/3. Let o = -11\/3 - -49\/15. Is q != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -11, -23, -49, -95, -167, -271?\n\"Answer: -l**3 + 2*l**2 - 3*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21799903243.00071 - -21799690256. Let y = w - -213035. Let j = 48 - y. What is j rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8708, 8710, 8712, 8714?\n\"Answer: 2*d + 8706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*w = -120131, -240234 = -2*d - 5*w + 9*w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -116.9. Let m = -38150787 - -38150797.1000118. Let w = m + r. Round w to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -22. Let u(t) = 2*t. Give u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11))*3 + (sqrt(11) - (-1 + sqrt(396))) + 3 - (-5 + 1 + sqrt(11) + -1 + sqrt(44)\/sqrt(4)*-2))**2.\nAnswer: -12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5066, 5085, 5104?\nAnswer: 5123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(((y\/y**(-4))\/y)\/y*y))*y**(1\/3) assuming y is positive.\nAnswer: y**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -7\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13\/((-78)\/(-492)) - 0.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-15)\/(-2)*10\/(-15). Let o = 65 + q. Let p = -30 + o. What is the remainder when 23 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7392 and 7224.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182157 is divided by 920.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 19. Let g be m(9). Suppose -2*c - g = 0, -5 = -0*h - 3*h - 5*c. Solve -f + 4*f = -3*x, h = 2*f - 3*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.762461603 to 3 dps.\nAnswer: 2.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 22. Let h be (t + -2)\/((-3)\/(-2)). Solve 0 = q + j, 2*j = 3*q + 13 + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 60*r**2 + 3*r - 1. Let s be b(3). Suppose 0 = 10*t - 122 - s. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a - 10*a + 5*a)*(-6 + 6 + 3*a) - 4*a + a**2 + 4*a + (4*a - 4*a + 2*a)*(-2*a - 2*a + 3*a).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - -1101110000111101?\nAnswer: 1101110001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**2 + 2*w - 107. Let z(b) = -6*b**2. Calculate o(z(t)).\nAnswer: 360*t**4 - 12*t**2 - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3\/8, -0.142203005 in decreasing order.\nAnswer: 2\/3, 3\/8, -0.142203005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.6 - -3.6. Let q = 45.5 - u. Which is the smallest value? (a) 1 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 63 = -575. Suppose 192 = 58*p - 52*p. Suppose -26*i + p = -800. Calculate the greatest common divisor of j and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(28\/(-12) + 3) + -2. Let y = c + 22. Let k = y + -25. Is -4 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/458738 and 93\/16.\nAnswer: 3669904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4378.901l in millilitres?\nAnswer: 4378901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1063*3.\nAnswer: -3189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1733987 + -3616189. Let i = w + 1191677. Let f = 1000525 + i. Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 189 = -2*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/180 - 41*v**5\/120 - v**4\/4 - 2*v**3\/3 + v + 2. Let j(w) be the third derivative of h(w). Let d be j(8). Sort d, 5, 0.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 2, q: 1, a: 2, o: 4}. What is prob of picking 1 z and 1 a?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 9. What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44945465.\nAnswer: 5, 1489, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16361860 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 153011905373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 4225a?\nAnswer: 42263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38801 = -9*g + 2*b + 202010, 0 = -5*g + 2*b + 90669. What is the highest common factor of g and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1*(2 + 0))\/(48\/(-47928)) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**4\/24 - h**3\/3 + h**2. Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50819, -50699, -50579, -50459, -50339, -50219?\n\"Answer: 120*v - 50939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41303*b**3 - 16949*b**3 - 44140*b**3.\nAnswer: -102392*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 3 + (44 - (33 + -25)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162356*i + 219380*i - 18527*i.\nAnswer: 363209*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0 + 15*n + 0. Let i(x) be the first derivative of 0*x + 1\/2*x**2 - 31. Give i(q(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 + 35750*z**2 + 2094665*z + 19996620 = 0?\nAnswer: -7091, -47, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1\/4 (c) -1\/2 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -135.1? (a) 4 (b) -0.29 (c) 3\/5 (d) 18 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/575 or 1216?\nAnswer: -11\/575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/5 - 6\/(-15). Let o be 2 - (-2 + p) - -2. Suppose -2*v - 16 = -o*v. Calculate the greatest common factor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5580972 + 5580972 + 6108*t + (0 + 0 + 2)*(0*t + 0*t - 2*t).\nAnswer: 6104*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100320302221 (base 4) in base 12?\nAnswer: -1595a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:31 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 4}. Give prob of picking 1 r and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 divided by -5?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + 6*(5 + sqrt(2736) + 1))**2 + 2 + 5)*2.\nAnswer: 11520*sqrt(19) + 200216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3 + 12396*g**2 + 38415204*g = 0.\nAnswer: -6198, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3198, -2982, -2790, -2628, -2502, -2418, -2382, -2400?\n\"Answer: -n**3 - 6*n**2 + 241*n - 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*g**2*r + 42*g**2 + 13557*g*r + g + r - 1278 wrt r?\nAnswer: 5*g**2 + 13557*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + 35*b - 12*b**2 - 20*b**2 - 2 - 22*b as m + q*b + z*b**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -5 + 12\/6 - -11 and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 9\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.194124*4.\nAnswer: 0.776496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*h - 88*h + 3535 - 1335 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/7 + 7 + 282\/7. What is the highest common factor of i and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w - 2*w**5 + 12 + 32*w - 9*w**4 + 3*w**3 - w**5 + 11*w + 33*w**2.\nAnswer: -3*(w - 2)*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**8\/42 - p**5\/60 + 6*p**2. Find the third derivative of h(m) wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.70892353 rounded to 1 dp?\nAnswer: 27.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 27*k - 47010*k**3 + 16*k.\nAnswer: -47010*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 567931004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478 - -482. Let o be ((-2021)\/3)\/((-2)\/6). Suppose n*r + 525 - o = 0. What is the greatest common divisor of r and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217775 * 1484.\nAnswer: -323178100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -14*i**3 - i. Let b be u(1). Let j = -77 - b. Let p = j - -77. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l - 6. Let d(h) = -3*h - 1 + 0 + 2*h. Let q = 13 - 7. Calculate q*d(m) - w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.04169\nAnswer: -0.16676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 304*o + 140682 - 131258 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Let d be ((-17)\/b - -3)*-5. Suppose n = 2*n + 18. Let v(s) = s**2. Let z(j) = 8*j**2 - j - 1. Calculate d*z(o) + n*v(o).\nAnswer: -2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = -2. Let r(d) be the first derivative of 4*d**4 - 2*d**4 - 4 - 4*d**p - 3. Find the second derivative of r(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11021*c - 836*c - 644*c to m + d*c and give d.\nAnswer: 9541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/525 - v**6\/60 + 3*v**5\/50 - 7*v**4\/60 + 2*v**3\/15 - 7*v**2. Determine x so that o(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 772736\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2\/11 - 2776*f\/11 - 963272\/11 = 0.\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 2, r: 6, i: 2}. Give prob of sequence ana.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/20350 and -127\/5920?\nAnswer: 325600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -388 divided by 3476\nAnswer: -97\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 0)*(1 + 0 - 3)*(2*l**2 - l**3 - 2*l**2 - 2*l**5).\nAnswer: -12*l**5 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 - -30. Let y be a\/12 - (-5)\/30. What is the highest common factor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/11, -7, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1) + (-2 - -7). Let z = 5 - b. Is (-149)\/(2\/(-4 - z)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 31 = -u - 5*w, -3*u + 79 = -5*w for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/5 - 407*j**4\/5 + 7858*j**3\/5 - 45846*j**2\/5 + 69741*j\/5 - 31347\/5 = 0. What is j?\nAnswer: 1, 9, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = s - 5*w + 11, 0 = -3*s - 3*w + 12. Let j(m) = m**2 - 345 + s*m**2 + 345. Let f(h) = 0 + 0 - 4*h**2. Calculate f(j(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 24*g + 16. Suppose -z + 6*z - 37 = -4*d, -z + 5 = 0. What are the prime factors of k(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14416\/(-106))\/(-136)*28\/(3\/3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61080.\nAnswer: 2, 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1247, -2641, -4033, -5423, -6811, -8197?\nAnswer: -9581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 8. Let g be l(-6). Solve 7*x = 5*x + g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7479, -7482, -7487, -7494?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:47 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 7:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 134*k - 129*k + 245 = 0, 0 = -4*f - 2*k + 72 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1851 (base 10) to base 2\nAnswer: -11100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -175. Let l = g + -109.9. Let v = 2 - 2.2. What is the closest to 0.1 in v, l, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 10*n + 5. Suppose 3*l - o - 4 = -3*o, -32 = -5*l + 3*o. Let g be l\/6*-3*4. Let t be y(g). Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l**4 - 830745*l**3 + 16202740*l**2 - 49024980*l + 39885120 = 0. Calculate l.\nAnswer: -83094, 3\/2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.04 - 0.04. Let m = 6.64 - 6.74. Which is the nearest to m? (a) t (b) -0.3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -30 + 3*c + 30. Let o(b) be the second derivative of 0*b**2 + 3*b + 0 + 0*b**3 - 1\/3*b**4. Determine o(n(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -119722*v**2 + 119722*v**2 + 214*v**3 + 1 as z + u*v**3 + y*v + m*v**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100110100101 + -10?\nAnswer: 1000100110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20475 is divided by 5113?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. What is the third derivative of -q*u + 5*u - 2*u**2 + u**3 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-10))**(2\/13)*((o\/(o*o*o*o**(2\/13)))\/o)\/o*o*o*(o**(-6\/5)\/o)\/o*o)**(3\/10) assuming o is positive.\nAnswer: o**(-1149\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 41. Suppose -5*m - 9 = -24. Suppose m*p - 12 = 0, 3*x + 3*p = -x + 460. Calculate the highest common divisor of c and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3493985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -29. Let g(l) = 3*l**2 - 86. Calculate 3*g(d) - 8*i(d).\nAnswer: 9*d**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-6)\/(-2520)). Suppose -5*x - 2*u = -x + j, 4*x + 4*u = -216. Let q = 52 + x. Is -3\/28 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.6047ng to milligrams.\nAnswer: 0.0001756047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 87, 135, 183, 231?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - a + 156 = a, 0 = 5*q + a - 378. Let g = -72 + q. Solve -2*d + g = -5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1453 + -124. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 23. Suppose 8*i - 992 = u*i. Let j = i + 791. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*d + 24 = 0, 543*h - 548*h = -4*d - 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/682 and 123\/310?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/(-2016)*(-96)\/52.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/12)\/(-2)*(-15)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6931 and 4.\nAnswer: 27724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -v - 12. Suppose 102 = -5*r - l, -5*l = r + v*r + 90. Let h be 3 + (2 - -2)*r\/30. Put 0.3, h, 1\/7 in ascending order.\nAnswer: 1\/7, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3991 = -965. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-4)*(-12)\/72*32\/(-36)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*v + 15 = 0, 8*v + 63 = 5*y + 9*v. Suppose 0 = -5*d + 4*d + 8. What is the smallest common multiple of y and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5*s)\/s)\/s**(2\/155)*s\/s**33*s\/(s\/((s\/s**(-2\/15))\/s)) assuming s is positive.\nAnswer: s**(-12499\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 - 10*w + 3. Let r(p) = p**2 - p - 1. Let g(x) = -h(x) + 3*r(x). Let y be g(6). Is 2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let f = -8 + 11. Suppose -2*g + 5 = -p - f, 5*p + 1 = -3*g. Solve x + l = 0, -g*k - x = -4*x - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 - 0.442. Let o = g - -0.062. Put -2\/5, o, 4\/5 in decreasing order.\nAnswer: 4\/5, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 5*f + 4. Let m be v(4). Let b = m - -38. Put b, 1, 3 in increasing order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 + 2*g**2 - g. Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 513 (base 6) to base 8\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:11 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.0357778?\nAnswer: -0.178889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*10.78.\nAnswer: 43.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 534 - 566. Suppose -o + 4*k - r = -3*o, 4*o + 4*k - 456 = 0. Let i = 405 - o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3870)\/(-315))\/((-2)\/(-434)). Calculate the greatest common divisor of 31 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 54. Suppose -4*b = -j*z - 2*b + 3676, 3*b - 12 = 0. Let u = z + 25. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1344 and -109\/440944?\nAnswer: 5291328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(243)*1*4 - -3*(1 + 5 + sqrt(243)*-1))**2.\nAnswer: 3240*sqrt(3) + 20083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/13 - 741714112*f\/13 - 68767477992493568\/13.\nAnswer: -2*(f + 185428528)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + y**2 + 3*y**2 + (2*y - y - 4*y)*(-y + 3*y - 4*y) + 2*y**2 - 7*y**2 + 4*y**2 + (-y + 5*y - 2*y)*(3 - 3 + 4*y).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386232 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, -5, 2 in decreasing order.\nAnswer: 2, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f**6 + 0*f**7 + 0*f**5 + 0*f + 1\/112*f**8 - 5\/12*f**4 + 26*f**2 + 0 + 0*f**3. What is the second derivative of k(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 18*l + 26. Let v(n) = n**2 - 8*n + 5. Let t be v(5). Let i be m(t). What is the greatest common factor of 116 and i?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*j + 926, -4*s - s = -10. Suppose 695 = 3*m + 2*x, -j = -2*m - 6*x + 3*x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 - -26. Let x = q + -271. Solve 20 = 6*c - 2*c + 4*g, x = 4*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3013*r + 22 = 4*x + 3043*r, -5*x - 5*r = 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 346*d + 2640.\nAnswer: 2*(d + 8)*(d + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -713, -2474, -5957, -11750, -20441?\n\"Answer: -98*r**3 + 21*r**2 - 4*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 130. Does 23\/2 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from ybwyybyby.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/(-168)*(-1)\/(5\/(-5))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -60, -2, -4, -1.05, -12.4, -5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/(-32))\/15*(-2)\/(-12).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 404911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(-3*sqrt(612))**2 + (3*-2*sqrt(187))\/((sqrt(77) + sqrt(77)*-1 + sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: -6*sqrt(17) + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/2 + 1005*f + 34236 = 0.\nAnswer: -634, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -602*z**5 + 2*z - 508.\nAnswer: -12040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 times 33.52\nAnswer: -127.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 1.8. Let v = 2382407.799946 - 2382413. Let p = v + o. Round p to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11344 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.29 - -0.294. Let l = v + -0.0081. Round l to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4727e6 (base 15) to base 7.\nAnswer: 40621515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 28*h + 40. Let p be g(-37). Suppose 0 = 5*c - 2464 - p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, p: 2}. Give prob of picking 1 p and 2 h.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 + 2*t. Let m(s) = 7*s**2 - 3*s. Let u(l) = -2*m(l) - 3*o(l). Let x(f) = 10*f. Calculate -u(a) + x(a).\nAnswer: -a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 84*w = -514386. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 22613073.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -221*v**2 - 1752978*v - 47592 = 0.\nAnswer: -7932, -6\/221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or -0.14514?\nAnswer: -0.14514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 6.2044?\nAnswer: 62.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63321 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 404*s + 408*s - 18 = 0, -2*v + s = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -904, -5, -2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13414 + -53615\/4. Let u(y) be the first derivative of -j*y**4 + 0*y**3 + 0*y**2 - 16 - 14*y. What is the derivative of u(p) wrt p?\nAnswer: -123*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -44. Suppose 97 = d - v + 477, -4*d = t*v + 1496. Let n = d + 619. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3*a**5\/10 + 33*a**4\/4 - 165*a**3\/2 + 351*a**2 - 486*a + 443. Suppose p(v) = 0. Calculate v.\nAnswer: 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -999 - 4*h + h**3 - 4*h**2 + 999 to the form f*h + y + n*h**2 + a*h**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 times -3246549?\nAnswer: 2110256.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -137054 in descending order.\nAnswer: -2, -5, -137054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aozzzzvvphvhhvzzzp. What is prob of sequence vohp?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-175)*-5 + (-1230)\/75?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202559, 810274, 1823139, 3241160, 5064343, 7292694?\nAnswer: 9926219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 97*k**2 - 3*k + 3. Suppose -5*g + 3*s + 14 = 0, 5*g = g + 3*s + 13. Is l(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.96 - -0.04. Let k = n - 3.9999976. What is k rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*h - 520, 6*h + 527 = h - 2*p. Let c = h + 164. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 1. Suppose -3*s - 9 = 0, 4*x = -x - s - 18. Let t(f) = 4*f**2 - 5*f - 33. Let o(i) = x*v(i) - t(i). Differentiate o(p) wrt p.\nAnswer: 4*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 10. Suppose 13*a - 71 = -6. Suppose -3 - 7 = -a*f. Let m be (f\/10)\/(2\/5)*0. Calculate c(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13382 is divided by 6668?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 56, 138, 252, 398, 576?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17909 - -35007. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11195 or -11193?\nAnswer: -11195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 16, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 - 278 - 2*c**3 + 4*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-1 - 4\/(-52)). Let m = t + -29\/39. Let x = 0 - -1. Is x < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*q - 6, 3*n + 4 = 4*q - n. Suppose -j + 4*w - q = 2*w, -2*w = -6. Solve -j*v = -18 + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(0 + 2\/(-4)). Suppose -14 - z = -c - 4*v, -3*v + 9 = 0. Let q(j) = 2*j**3 - 5*j**2 + 5*j - 7. Calculate the remainder when q(3) is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + 4*sqrt(108)))**2 + (((sqrt(864) - 2*sqrt(864)) + sqrt(864))\/sqrt(200))**2.\nAnswer: -6912*sqrt(3) + 62784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1377330000 rounded to the nearest 1000000?\nAnswer: -1377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-6))\/5*(-1898)\/219.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/390 - o**4\/52 + o**2. Factor q(d).\nAnswer: 2*d*(d - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2013 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 3\/6*22*2?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - (-3 + (-1 - 0))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.7 in -1\/5, 0.5, -3.31, -7\/3, 21?\nAnswer: -3.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.271 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 13) to base 10\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569479810 to the nearest integer?\nAnswer: 23864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 98952?\nAnswer: 1682184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15.24, -2, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14075, 14082, 14087, 14090, 14091, 14090, 14087?\nAnswer: 14082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19806396 and -0.07.\nAnswer: -19806396.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/90648 and 113\/48.\nAnswer: 181296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50549, 100995, 151443, 201893, 252345?\nAnswer: 302799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 420\/(-7) + (-2 - -4). Find the common denominator of ((-348)\/(-112) - 3)*o and (51\/10)\/(90\/25).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 5*d + 32*d**2 - 62*d**2 + 41 - 4*d + 32*d**2 in the form b*d**2 + g*d + y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -594, -956, -1318?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8960 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - (-58)\/(-6). Let s be (3 - w\/(-2)) + 0. Let r be (-7)\/2 - 18\/(-6). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105216 by -1096.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 236? (a) -1\/6 (b) 2\/3 (c) -69 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 999, 1975, 2925, 3837, 4699, 5499, 6225, 6865?\n\"Answer: -2*i**3 - i**2 + 993*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91304*z**4 - z**2 + 49556?\nAnswer: -2191296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4615, -4587, -4539, -4471, -4383, -4275?\nAnswer: -4147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:44 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.8064?\nAnswer: -0.048384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -276, -658, -1210, -1938, -2848?\n\"Answer: -a**3 - 76*a**2 + 17*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 158 = -40. Suppose l*k = 14*k + 216. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9807 + -9743. Is 1 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 15*w**2 + 17*w - 2. Let v be o(-14). Is v\/(-52) + -1 + 15266\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = 10. Suppose 2*i - 3*i = -2*x + b, 4*x = i + 25. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 7)*((2761 - 6047 + 1914)*(2*t + t - 2*t) + 2 - t - 2)*(-4 + 2 + 4) + 2*t - t + 0*t - 2*t + 0*t + 0*t + (-3*t + t + 3*t)*(3 + 0 - 4).\nAnswer: 8236*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 2*t + 7. Let a(s) = -3*s**2 - 7*s - 20. Give -6*a(h) - 17*y(h).\nAnswer: h**2 + 8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/14129 - -52672919\/98903. Which is greater: o or 532?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i*j**2*u**2 - 92*i*u**5 + 20*i + j**2*u**4 - j*u**2 wrt u?\nAnswer: -5520*i*u**2 + 24*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j + 20 = 5*p + 59*j + 77, 4*p + 6 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130610 + -57599060\/441. Let b = q - -577\/4851. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*a, -2*a + 8 = -4*z. What is the units digit of (-33)\/(-2 - 1) + z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:19 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(0 + r + 0) + (6*r + 13 - 13)*(126 + 30 + 156) to k + b*r and give b.\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3338*g**2 + 4221 - 8458 + 4237 - 4*g**2 + 3*g**2 + 3*g**2 + (-g - g + g)*(3*g + 3*g - 5*g) to n*g**2 + t*g + l and give n.\nAnswer: 3339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7*s**4\/24 + 169*s**2. Let r(q) = -14*q. Determine h(r(a)).\nAnswer: -98*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.4 + -34. Let h = -2 + f. Let i = -1.73 - -1.8. What is the second biggest value in -2\/5, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 times -1.2585?\nAnswer: 0.0667005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3392773 * -0.5.\nAnswer: -0.16963865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d8e11d (base 15) in base 6?\nAnswer: 1005142014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1525 times 0.02\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:59 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -82*w - 7778. Give d(-95).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 33137 + 6778 - 4*g**2.\nAnswer: g**2 - 26359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2. Suppose t = 6*t. Let g(w) = -2*w + 0*w + t*w. Calculate g(i(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 218 + -216. Suppose 0*c + 5*c - 175 = -5*l, l - 31 = -m*c. What is the remainder when 110 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6363 - -31816\/5. Which is the fifth biggest value? (a) -0.08 (b) j (c) 3 (d) 2\/77 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1985619 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -111101110111100 (base 2) to base 8\nAnswer: -75674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32796, -32800, -32806, -32814?\n\"Answer: -g**2 - g - 32794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 83*i**2. Is 27 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t + 4. Let l(h) = h**2 - h. Let y(o) = -4*o**2 - 4*o + 7. Let m(x) = 3*l(x) + y(x). Determine -4*m(p) + 7*v(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*s + 676 = 0, -3*c + 2*s - 1320 = -306. Let v = c - -1675. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37110.9133 + -24439096.3867. Let w = 24476186.3000034 + v. Let o = w + 21. Round o to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3 + 2019*v**2 = 0.\nAnswer: -673, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*f + 422*f - 1972*f + 424*f + 273*f + 422*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 9. Let i be x(-6). Suppose -i*g + 100 = -20. Suppose 2*k - 7*k = -g. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 8*k**2 + 85*k + 16. Calculate i(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 149. Let l = 88 - k. What is the closest to 2\/11 in l, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1106*f - 1099*f - 11 - 1112*f + 3305*f. Let b(k) = 2 - 6 - 3*k - k. Give -11*b(c) + 4*l(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -84*m + 5543. Determine s(66).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10292154 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3024)\/77)\/12*33\/726*121.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:36 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 307340 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177 and 0.3?\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:35 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 8) to base 6\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2365084 at least as big as -2365083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 10\/((20\/(-728))\/(-5)).\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8145 + 2.1855. Which is the closest to 2? (a) u (b) 254 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + g**2)*(4 - 5 - 7)*(-143*g + 34*g + 69*g) to b*g**3 + p + i*g + d*g**2 and give b.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 19*v**3\/3 + 333. Let d(x) = 0*x + 3*x - 5*x - 4*x. Determine d(h(f)).\nAnswer: -114*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 23992a46?\nAnswer: 23992a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x + 360 - 2264. Let n be 4*((-153)\/x + (-4)\/(-14)). Which is bigger: -24 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8172 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 953 + 1009. Let n be 2\/(-9) + h\/81. What is the highest common factor of 48 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10395 is divided by 5114.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4829572?\nAnswer: 2, 11, 19, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 180519 and 180516 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**3\/2 + 3*o**2\/2 + 4*o. Let t be y(4). Let g be t*1*10\/(-30). Which is the closest to -0.1? (a) -3\/2 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*a - 6, -a + 3 = -4*i - 2*a. Suppose i = -2*g - 3*g + 50. Let h = g + 10. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -1287 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 95*u + 12. Let i(d) = -d**2 - 101*d - 14. Give -6*i(j) - 7*z(j).\nAnswer: -j**2 - 59*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 30. Calculate the lowest common multiple of 1\/(-1 + 51\/48) and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7023941165?\nAnswer: 5, 4787, 293459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/2 + (-5)\/10. Let l = i + -4. Let y = 16 + l. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -5002478.\nAnswer: -5002478, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 18*u + 12. Let h be k(-10). Let x be (-2)\/(-11) + 9\/h. Which is the closest to 2\/3? (a) x (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54723.82ml?\nAnswer: 54.72382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w + w)*(0*w + 2*w - w) + (-2 + 6 + 2)*(34*w**2 + 22*w**2 + 23*w**2).\nAnswer: 477*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -79444 and -69386?\nAnswer: 10058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12341 + 2628. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3310*x - 101952 - 131108 = -47700 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/6 + u**2\/2 + 2*u. Let l(a) = -14*a + 7. Let v(f) = 8*f - 4. Let h(n) = -3*l(n) - 5*v(n). Give -5*d(k) - 3*h(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g + 7. Let t(h) = -3*h**5 + 3. Let d(v) = -3*v**5 + v**3 + 2. Let c(p) = g*d(p) - 2*t(p). Factor c(j).\nAnswer: -3*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - 3602?\nAnswer: -3629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 32*n**2 + 31*n + 35. Let q be z(-31). Suppose -20 - q = -5*w. What is the smallest common multiple of w and -3 - 6\/(2\/(-2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 33, 0 in decreasing order.\nAnswer: 33, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/3 + 1730*z**2\/3 + 373246*z\/3 - 374978\/3 = 0 for z.\nAnswer: -433, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 + 23 - 71)*(-3*g**4 + g**4 + 4*g**4) as k*g + z*g**3 + r*g**2 + a*g**4 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3163.95024 to 1 dp.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 - 65*t + 289. What is the units digit of g(-47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(36) + 4*sqrt(144))\/(sqrt(484) - -1*sqrt(484)))\/(sqrt(24)\/(sqrt(8) - (sqrt(8) - (sqrt(8) + 2*sqrt(8)))) - sqrt(12)\/sqrt(4)*-5).\nAnswer: -2 + 27*sqrt(3)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-50)\/40)\/((-9)\/(576\/(-8))))\/((-4)\/(-8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.015 - -0.185. Let s = 15.55 - t. Round s to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648706031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343 - -303.8. Let r = f - -39. Let j = -2\/19 + -15\/38. Which is the third smallest value? (a) r (b) 0.3 (c) j (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s - 28. List the prime factors of w(-13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1767.2631 months to decades.\nAnswer: 14.7271925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690054 to the power of 1\/2, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*q**4 + 25*i**2*q**3 + i**2*q - 339*i**2 wrt q?\nAnswer: 24*i**2*q**2 + 150*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 - -114. Let d = k - -289. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 6:18 AM?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1787\/5 - -359. Suppose -6\/5*p**4 + 0*p**3 + v*p**2 + 0*p - 2\/5*p**5 + 0 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -427, -104, 327, 854, 1465, 2148, 2891?\nAnswer: 3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -136*x**5\/5 + 45*x**4\/2 - 207*x. Find the third derivative of l(p) wrt p.\nAnswer: -3264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52bbda (base 14) to base 4.\nAnswer: 22223032110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let a = -91 + 61. Let p be 20\/a + (-17)\/(-3). What is the nearest to -2\/5 in p, x, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61800 or -3?\nAnswer: -61800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -347. Let w = -35 + u. What is the greatest common factor of 132 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-240)\/100*(-30)\/8 - 4. Solve -3*l = -b*w + 1, -13*l - 2 = -10*l - 4*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65, -12\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 - -4) + 39699\/802)\/((-2)\/4 - -1).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1190\/35*(-3410)\/(-935).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -ad5b (base 14) to base 13\nAnswer: -108c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 4327*m - 4300*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2282589 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26043, 52100, 78169, 104250?\n\"Answer: 6*l**2 + 26039*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(104)*3)\/sqrt(2))**2 + -1.\nAnswer: -12*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/538 and 14\/2959.\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 45109 + 45278. Let s be 6\/(-8) + y\/44. Suppose 1954 = 5*i + s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:42 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -21?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12453, 25086, 37899, 50898, 64089, 77478, 91071, 104874?\nAnswer: 118893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8733 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*j - 6735 = 0, 0 = 3*s + 305*j - 307*j - 20225. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119a (base 14) to base 16\nAnswer: c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580465866.\nAnswer: 2, 3, 96744311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/3 + 19*c**3\/6 + 98*c**2 + 210*c. Find the first derivative of r(d) wrt d.\nAnswer: -8*d + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**2 - y**4 + 5*y - 8*y**2 - 4*y**3 - 2*y to s*y**4 + t*y + k*y**3 + f*y**2 + i and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*s + 180, s - 8*l = -3*l + 56. Let w = -25 + s. Let p be (-2)\/(-6) + 14\/w. Let c(r) = -r. Let n(b) = 4*b + 1. Give p*n(f) + 3*c(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -439 and 595879.\nAnswer: -261590881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*l**3\/2 - 6677682*l**2 - 2972759788467*l\/2 + 594553026123 = 0. Calculate l.\nAnswer: -445179, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + 4*c + 8. Let o be z(7). Suppose 0*i - 2*i = -o. Calculate the greatest common divisor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127713 times 0.94?\nAnswer: 0.12005022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 5*v = 2*r + 61 + 78, 112 = 4*v - 2*r. Solve i*c - v = -5*l, 5*l - 34 = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -358292 (base 12) in base 3?\nAnswer: -1121220201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 50*l - 1. Let h(b) = 5*b**2 + 200*b - 5. Calculate 2*h(n) - 9*w(n).\nAnswer: n**2 - 50*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12834210 divided by -6?\nAnswer: -2139035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(14\/204)*(100\/(-40) - -17 - 14)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 100\/(-15))*(-18)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13522, 13533, 13544?\n\"Answer: 11*d + 13511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 350 + 7612002?\nAnswer: 7612352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -7.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947.46363 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -308.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2370719847 + 2.7.\nAnswer: 2.4629280153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) -1\/4 (c) 11 (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = u - y, y - 6*y - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0.1 (c) -16 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 29*x + 11. Let g(r) = -3*r**3 - 1. Determine g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14495 = 14495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4746626 millennia in decades?\nAnswer: 47.46626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**2 - 3*t + 5. Let d be u(2). Let q = -12 + 9. What is the common denominator of 62\/9 and q\/54*118*d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let c = z - -8. Let r = c + -10. Sort 0.5, 4, r in increasing order.\nAnswer: r, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**3\/2 + 3*w**2\/2 - 7*w. Give p(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 17*r + 15. Let h be l(-8). Let j = h - 130. Solve 3 + 17 = -j*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243482.\nAnswer: 2, 53, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700766 plus -7?\nAnswer: -1700773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 55. Let a = w + -18. Suppose -a*f = -7*f - 62. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 6?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.9725 + -0.0725. Let q = z - 33.5. Which is the closest to 3? (a) q (b) -3 (c) -0.2 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 5, t: 7, b: 1, u: 1}. What is prob of picking 1 b, 1 i, and 1 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*n - 2 + 1 = 0, -2*m + 2*n = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5615134 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 110, 187, 286, 413, 574?\n\"Answer: d**3 + 2*d**2 + 48*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5891 and -0.3.\nAnswer: -5891.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494454190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*o + 674*o - 3*d - 30 = 0, 5*d + 55 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 288082 - -66717. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 159\/4*k**4 + 63 + 0*k + 0*k**2 - 5\/3*k**3. Find the third derivative of o(w) wrt w.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14565 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.031, -44 in decreasing order.\nAnswer: 1\/2, 0.031, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248970 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 31*o - 34 = 0, -2*x - 1151*o = -1148*o - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028895 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7))**(-1\/21) assuming t is positive.\nAnswer: t**(1\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - j - 3*j - 2*j + 2 - 2 + (-1 + 3 - 4)*(-j + 5*j - 3*j) + j - 2 + 2)*(-2646207*j - j**2 + 2*j**2 + 2646653*j).\nAnswer: -j**3 - 446*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 970260424?\nAnswer: -970260426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 256, 246, 228, 202?\n\"Answer: -4*g**2 + 2*g + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 16 = -5*u, -170*u - 11 + 7 = 2*m - 168*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/10)\/(-4)*(-20)\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b25 (base 13) to base 9.\nAnswer: -18585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 3*t)*(-3 + 2*t + 3) - 20*t**2 + 212*t**2 + 257*t**2.\nAnswer: 451*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose 36 = -n*x + o - 7, -3*x - 5*o = 37. What is the tens digit of x\/(-12)*(-48)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13*h - 13 - 21 - 3 + 37. Let m(s) = 34*s**2. Give x(m(o)).\nAnswer: -442*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156576802*w**4 + 112160076*w wrt w.\nAnswer: -1878921624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(75))\/sqrt(3))\/(sqrt(80)*3))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j - 15 = -34*j. Suppose -k - 30 = -j*z, -z - 5*k + 26 = -0*z. Calculate the lowest common multiple of z and 9*(1 - 0\/(-1)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*2*4)\/(sqrt(5) + (sqrt(105)\/sqrt(3))\/sqrt(7)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:34 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115632041.\nAnswer: 7, 241, 68543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 6*x**2 + 6*x - 4. Let n be z(-6). Suppose -n = -2*a + 3*t, 2*a + 6*t = 2*t + 190. Let r be 494\/a - 2*2. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*y + 14436 - 14442 = 0, -31*x - y = 159 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/90 - 8*k**5\/15 + 6*k**4 - 65*k**3\/6 - 18*k**2. Let r(f) be the first derivative of h(f). Factor r(w).\nAnswer: -4*(w - 2)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**4\/24 + 4*x**2. Let p(d) be the first derivative of 0*d**2 + 0*d + 2\/3*d**3 - 1. Give s(p(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20479 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 20*c - 58. Let f be ((-6)\/(-16))\/((-17)\/34)*-16. Let k be p(f). What is the highest common divisor of 418 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u. Let j(t) be the third derivative of t**5\/6 - t**4\/12 - 20*t**2 - 1. Calculate j(m(k)).\nAnswer: 3610*k**2 - 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 2*q)*(-q - q + 3*q) + 3*q**2 + q**2 - 6*q**2 - q**2 - 2*q**2 + 4*q**2 + (0*q - 2*q + 0*q)*(-2*q + 2*q - 11*q).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -17. Let k(c) = -4*c**2 + 4*c + 2*c - 4 + 2*c**2 - 5*c - c**3. Let m be k(-3). Solve a = m*z + d + 2, -5*a = 2*z - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 247651, 990562, 2228771, 3962284, 6191107, 8915246, 12134707, 15849496?\n\"Answer: d**3 + 247643*d**2 - 25*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**18\/n**(2\/47)*n**(-27)\/((n\/(n*n*((n*n*n**(1\/13)*n)\/n)\/n))\/n) assuming n is positive.\nAnswer: n**(-3645\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 5*q**2 + 100*q. Let d(z) = 55*z**3 + 85*z**2 + 1700*z. Let c(n) = -2*d(n) + 35*g(n). Factor c(t).\nAnswer: -5*t*(t - 5)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/20*-6)\/9. Let s be (-36)\/(-78)*(-2)\/6. Which is the third smallest value? (a) u (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 9\/7, 1\/17897?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336*m*s**4*x + 857*m*s**4 - 347*m*s + 2*m*x + 2*s**3*x - 2*s**2*x + 51*s**2 - s wrt s.\nAnswer: -8064*m*s*x + 20568*m*s + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1349*x**3 + 654*x**3 + 623*x**3 + (5*x**3 - 5*x**3 + 3*x**3)*(1 - 2 - 8).\nAnswer: -99*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*i = 19, 129*s = 127*s - 5*i + 19 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -138. Suppose -40 = -x*s + 8*s. Solve -s = u - 4*h, 4*u + 0*u + 28 = 3*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89781 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 13*o - 265. What are the prime factors of k(15)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81408 and 1344.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 - 3*p**3 - 2*p**3 + 4 + 6*p**2. Let n be b(6). Suppose -n*w + 2865 = -5*l, -3*l + 1619 + 1206 = 4*w. Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j**4 + 7*j**2 + 2*j + 7. Let l(z) = 11*z**4 - 4*z**2 - z - 4. Let v(f) = -7*l(f) - 4*t(f). Find the second derivative of v(u) wrt u.\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (74\/(-14) - 48\/(-168))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(1 + 3 - 1)*(13*x - 13*x + 11*x**5).\nAnswer: -33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50907745 and 26897.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 13\/30*m**6 + 0*m**2 - 4*m + 19\/20*m**5 + 0 + 1\/3*m**3 + 1\/14*m**7 + 11\/12*m**4. Suppose f(x) = 0. Calculate x.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8, -h - w - 7 = -116. Suppose j - 8*l - 127 = -10*l, j = 2*l + h. Suppose -1 = -x + 12. Calculate the greatest common factor of j and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124024709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2056 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -138. What is the third biggest value in -0.4, -1\/6, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**43*r**4*r**(-2))\/(r**(2\/9)*r\/(r**1\/r))**(-32) assuming r is positive.\nAnswer: r**(1093\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12573 divided by 4195.\nAnswer: 12573\/4195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108140 + 107899.9384. Let g = l + 240. What is g rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2197, -2198, -2199?\nAnswer: -2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-22680)*84\/(-35)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {h: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddfdqdf. What is prob of picking 2 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -577?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 2 + 2 + 6 - 6 + 10*j - 3*j + 8*j + j - j - 3*j + 3*j + (2*j - 2 + 2)*(-7 + 3 + 3).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 16, 2\/5, 4\/9 in descending order.\nAnswer: 16, 4\/9, 2\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-1.1.\nAnswer: -25.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l - 109. Does 5 divide i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004730.\nAnswer: 2, 5, 7, 13, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/((-1)\/52). Let l be (-640)\/(-6)*(-585)\/n. Suppose 11*v - 14*v = l. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235685 and 17205005.\nAnswer: 17205005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times -1562002?\nAnswer: -281160.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 192. Let s = x - -106.71. Round s to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((2*sqrt(45))\/sqrt(5)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*f - 13, -3*g + 8 - 30 = -5*f. Let b be -1 - (g\/(-102))\/(2\/(-20)). What is the third biggest value in b, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 32*m - 64. Let c be w(-29). Let j = 122 + c. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -95. Suppose -l*i - 64 = -i. Let f(x) = -x**2 - 10*x - 8. Determine f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5 - 20.5. Let o = u + 25.5. Suppose -3*f + 10*f + 49 = 0. Which is the closest to 0.1? (a) 5 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = 6. Let d(m) = m**3 + 5*m**2 - m + 6. Let n be d(-5). What is the highest common factor of n and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320) - (sqrt(320) + 2 + -1)) + 2*(0 + sqrt(320)) + sqrt(320))**2 - (-1*sqrt(320)*-1 - (-2*sqrt(320)*-5)**2).\nAnswer: -72*sqrt(5) + 37121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssyyss. What is prob of picking 2 y and 1 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368213.59*-5.\nAnswer: -1841067.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1348.419 grams?\nAnswer: 1348419000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:02 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12267990, -12267949, -12267908, -12267867, -12267826, -12267785?\nAnswer: -12267744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.033 (b) -2 (c) -0.08 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.405 - -93.205. Let t = 97 - w. Let p = t - 4.19948. Round p to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 245471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -23, 273, 857, 1825?\nAnswer: 3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24221, 48352, 72483, 96614?\n\"Answer: 24131*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/4, -99, -0.2, 4\/5 in decreasing order.\nAnswer: 3, 4\/5, -0.2, -3\/4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -991*b + 55*b - 744*b - 452*b as m + u*b and give u.\nAnswer: -2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (0 - (-5)\/5). Let n(x) = -x**2 + x + 12. Let s be n(0). Suppose -s = -3*w - 2*p, -5*w + 4*p + 4 = 2*p. Sort -5, i, w in decreasing order.\nAnswer: w, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4257, 1, 198, 2, -2 in increasing order.\nAnswer: -4257, -2, 1, 2, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 31 - 41. Suppose i - 1167 = -t*l, -2*l + i + 1170 = 3*i. What are the prime factors of l?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 14*n - 948. What is the remainder when n is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11*u = 99, 12 = -5*n - 4*u + 39. Solve 2*b = -4*g - 20, n*b + 30 = 14*b - 4*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -14*r + 9*r + 3*k, 2*k - 27 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/3)\/((q\/(q*q\/(q\/(q\/(q*q\/(q\/q**13))))))\/q)*q*q\/(q\/((q**(-1)*q)\/q))*q\/((q\/(q*q\/q**(11\/6)))\/q)*q assuming q is positive.\nAnswer: q**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66764 is divided by 13227?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (777\/(-129) - -6) + 469\/(-227599)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - z - 36. Let s be u(-5). Solve -18*d + 2 = -s*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -95. Let l be (0\/(-2))\/(-2) - 3. Let z be -4 + c + l\/1. Let a(j) = -7*j**2 + 2*j + 1. Give a(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -108, 2, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*a - 11, 2*h - 14 = -0*h + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 - 2215*u**2 + 4445*u - 2225 = 0. What is u?\nAnswer: -445, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 553 - 345. Suppose -f + t - 18 = 0. Suppose 3*x = 655 - f. What is the highest common divisor of 62 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 11 + 9 + 0 + 9 + 0 + 4 - 4 - 1 + (0 + 4 - 5)*(-6 + 4 + 1))*(-w**2 - 2*w**2 + w**2) in the form g*w**2 + d*w + y and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5717769ml to litres.\nAnswer: 0.0005717769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2325, 2478, 2857, 3576, 4749, 6490, 8913, 12132?\n\"Answer: 19*a**3 - a**2 + 23*a + 2284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4 + 628874*c**3 + 65913960936*c**2 + 2302901966762720*c + 2302836053430656 = 0?\nAnswer: -104812, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 10*m**2 - m + 11. Let b be j(10). Let t be -3 - (b - (-33)\/(-9)). Put t, 2\/17, 4 in descending order.\nAnswer: 4, 2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/70*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 2. Let a be g(2). Let j = a + 12. Solve 3 - 4 = j*v - l, v - 2 = -2*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/112 and 87\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -8*a - a + 8. Let r = 2\/89 + 168\/445. What is the third smallest value in -5, 3, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 155939\/6632?\nAnswer: 155939\/6632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 169 - 219143?\nAnswer: -218974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:52 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - -108 - (187 + 54)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - ((4 - 6) + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257180459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0817 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38144.2 + 38144. What is the nearest to 1 in -0.24, d, -3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 28635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.76822l to millilitres.\nAnswer: 85768.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:34 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.3. Let y = -103 + 105. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - t = 59, -1813*t - 39 = -3*z - 1814*t. What is the greatest common factor of 105 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16269.\nAnswer: 3, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94a9 + 7b?\nAnswer: 9568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35289578669 and 2.5.\nAnswer: 35289578671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -56. Let l(y) = y + 12 - o*y + 9*y. Determine l(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 60*v - 407. What is c(-6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**5\/60 - g**4\/18 + 23*g. Find p, given that j(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.172001 + 0.072001. Let j = -3 - -5. What is the biggest value in j, 0, p, 83\/5?\nAnswer: 83\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 3)*(-2 - 2 + 2) - 42 + 18 + 25)*(c - 698 + 1358 - 1127) to the form u*c + b and give b.\nAnswer: -2335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.74 + -9.7793. Let y = 4.9607 - u. Which is the fourth biggest value? (a) y (b) -0.01 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = k - 84, k - 2*r = 84. Let j(a) = -124*a + 657. Calculate the remainder when k is divided by j(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 22*d + 7. Let p = -22 - -24. Suppose 2*a = -p*z + a + 43, 5*a = -5. Let o be c(z). Solve -18 - o = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/13)\/s)\/s*s*s)\/(s*s*s**(5\/2)*s)*((s\/(s\/s**(1\/2)))\/s)**(-13\/2))**(-36) assuming s is positive.\nAnswer: s**(1125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4906627, 4906639, 4906657, 4906681, 4906711?\nAnswer: 4906747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + (3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18*-2)\/((-19)\/(-228)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and 47784.6?\nAnswer: 47784.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8420?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(432) - (0 + sqrt(432) + sqrt(432) + sqrt(432) - sqrt(432))**2) + sqrt(432) + sqrt(432))*-5.\nAnswer: -180*sqrt(3) + 8665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/y**6)\/y)\/y**(-3)*y**(-2\/13)*y**(-2\/9)*((y*y**(-1\/4))\/(y\/y**(-1\/2)*y))\/((y*y\/y**(-3))\/y*y*y**(-1)\/y*y) assuming y is positive.\nAnswer: y**(-2867\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1\/5, 0.084, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvvvvvnvnvv. What is prob of picking 2 v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + a - 2*a + a**3)*(4*a**2 - 10*a**2 - 11*a**2).\nAnswer: 17*a**5 + 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 0.3, 52\/119?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 47, -302, -5 in ascending order.\nAnswer: -302, -5, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5232236 - 3342116 = 4*o. Let t = -3756412 + o. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.94 - -0.06. Sort r, 3\/8, -1 in ascending order.\nAnswer: -1, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 368c50?\nAnswer: 368c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:11 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 10, -5*b + 4481 = 4*y - 1289. Calculate the greatest common factor of 48 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 7\/1 - (-20)\/((-100)\/(-565)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and (30\/(-20))\/(15\/25)*(-384)\/2?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.54 + -34.54. Which is the nearest to 1\/16? (a) -1 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10\/(-2970)*-6.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1940*d**2*w - 468*d**2 - 4*d*w - 38830868*w wrt d.\nAnswer: 3880*d*w - 936*d - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120 - -128 - (18 - 1)) + -14 - 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35627697 is divided by 98?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 20778532\nAnswer: -62335596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6204588 and -5?\nAnswer: 31022940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 47*d**2 - 99*d - 44. Let h(b) = -6*b**3 + 236*b**2 - 494*b - 219. Let m(f) = -2*h(f) + 11*v(f). What is the tens digit of m(-47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 13*c + 165 = 3*l, 4*c - 130 = 2*l. Solve -2*u - 28 = -5*q, 4*u + 33*q = 38*q - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19527360 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22241843.\nAnswer: 13, 307, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 52*h + 3 = 0. Let a be (-11 - 5)*(-3)\/h. Let g(q) = -q**3 - 6*q**2 - 14*q + 31. Is g(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1546 - -1626. Which is the closest to -1\/4? (a) -1 (b) p (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 + 8. Let h = k + 104. Suppose -4*x + 57 = -2*r + 5, -h*r = -2*x + 28. Solve -t + x = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -599*s - 493*s - 18324 - 240 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 25. Let c be m(4). Suppose 4*i - t = -19 + 88, -c*i + 99 = 3*t. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a0 (base 15) to base 4.\nAnswer: -132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1127465 to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -971*i + 217 = -978*i. Let z(f) = f**3 + 32*f**2 + 33*f + 19. Determine z(i).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -72?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 4*p**3 - 10*p**2 - 12*p.\nAnswer: 2*p*(p - 2)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 7*z - 5. Let q be s(-5). Suppose -54 = 3*u - q*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10886*n**2 + 6290*n**2 - 2897*n**2.\nAnswer: 14279*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 395377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*w**3 + 4*w**3 - 2*w - 26*w**3 - 37*w**4 - 7*w**4 + 2831*w**2 - 37*w**4 + 2 wrt w?\nAnswer: -1944*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*k**2 + 1475*k**2 + 356*k**2 + 1310*k**2.\nAnswer: 2554*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*g + 14*g**2 + 105*g - 12*g**2 + 25*g**2 in the form o*g + m*g**2 + q and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i + 5*i - 5*i + (3 + 1 - 2)*(-2 + 2 + i) + (-2 - 4 + 1)*(-1 - 1 - 2)*(i + 143*i - 12*i).\nAnswer: 2648*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1888446 and 75\/4.\nAnswer: 3776892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let t be (7 + o + 1)\/2. What is the units digit of (t - 1) + -3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 29*s**2 - 1114*s - 5841. What is q(43)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -1.12. Let l = w + -0.18. Let d = -0.8 - -0.3. What is the biggest value in l, -3\/5, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19383 to the nearest 100.\nAnswer: -19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1338 and 29\/150?\nAnswer: 33450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32130012 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2. Let b(j) = 3*j + 3. Let t(h) be the third derivative of -h**4\/8 - h**3\/3 + 18*h**2. Let k(d) = -2*b(d) - 3*t(d). Determine k(o(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 13328 + 13325 + 13329 - 39982.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 25445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 16. Let f be 0 - 0 - (-5 - 245\/(-10)). Let q = f + 20. Which is the closest to q? (a) 3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 + 48\/(-21). Let d = -2.9 + 2.5. What is the third smallest value in d, -4, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136696013*h**5 + 204224596*h.\nAnswer: -2733920260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 times 0.4?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 0, 37, 110, 231, 412?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -877.56 to the nearest integer.\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 4*y - 1. Let k(a) = 105*a + 948. Let l be k(-9). Let i(t) = t. Calculate l*i(j) - u(j).\nAnswer: -3*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212 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: Let y(u) be the first derivative of -2*u**7\/7 - u**3\/3 + 8. What is the third derivative of y(r) wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234 + -234. What is the smallest value in h, 1, 35, 2\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 17*x - 47*x + 7*x + 6*x + 14*x. Let m(f) = -f + 18. What is o(m(n))?\nAnswer: 3*n - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -176. Suppose 4*y - 2*g - 15 - h = 0, -15 = 3*g. What is the remainder when 68 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.768, -0.1, -0.12, 1563?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(0 + 0 + (sqrt(612) + -1 - sqrt(612))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-3)\/((-6)\/(-38)). Let t = -17 - k. Differentiate 3*n + 3 + 3*n**t - 10 - 3*n with respect to n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 3*d. Let q(n) = n**2 - n. Let l(z) = 12*q(z) - 4*t(z). Let b = 88 - 2. Let g(x) = 6*x**2 - b + 86. Determine l(g(r)).\nAnswer: 144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:25 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 180483 - 49483. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + t - 692, 203 + 27 = o + t. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h + 169*h - 47*h - 43*h - 45*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 9:56 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2425 + -397699\/164. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 3 + (-6 - 1) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/3720*12*(-4)\/88.\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**24*i)\/((i\/i**(-2\/9))\/i))\/(i*i**(-1\/5)*i**(-23)) assuming i is positive.\nAnswer: i**(2114\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**3 + 8*j**2 - 5*j - 5. Let s(a) = -5*a**3 + 4*a**2 - 2*a - 2. Let i(r) = 2*d(r) - 5*s(r). What is the third derivative of i(u) wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 19*s - 4. Let n(b) = -b**2 + 12*b + 3. Let y(l) = -4*n(l) - 3*p(l). Let q be 2\/(-11) - 344\/44. Calculate y(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 - -73) + -5 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 31832704 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybfk when four letters picked without replacement from {y: 2, b: 3, r: 4, f: 1, k: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (25735\/(-10))\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let i(n) be the first derivative of -227*n**2\/2 - 930. Determine b(i(v)).\nAnswer: -454*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**3 - 99*r**3 + 61*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, q: 1, d: 2}. What is prob of sequence dd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y + 1. Let a(r) = 542*r + 7. What is -a(f) + 5*t(f)?\nAnswer: -497*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/10187 or 0.1?\nAnswer: 5\/10187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332447227 and 2716.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046701 to four decimal places.\nAnswer: -0.0467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*w + b - 2 = 0, 0 = 5*w - 3*b - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7203, 8868, 10537, 12210?\nAnswer: 13887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53, 49, 33, -1, -59, -147?\n\"Answer: -s**3 + 3*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6632\/(-20) + 6\/(-15). Let g = -229 - y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**2 + 11 - l - 1\/2*l**3. Let k be (-4)\/(-3) + 2\/3. Let i(z) = 12*z - 9. Give k*i(m) + 9*p(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 13*u**2 + u + 17. Let q be y(-13). Suppose -7 + 2*t**5 - 6*t**3 + 4*t + 6*t**4 + 7 - 2*t**2 - q*t**4 = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11808 (base 11) to base 5.\nAnswer: -1020243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 12. Which is the nearest to u? (a) 0.2 (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from hffffhffhhhff?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58711, -117412, -176113, -234814, -293515?\n\"Answer: -58701*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = o, 3*o - 14 = 4*h - 5. Suppose h = 6*b - 10*b + 17*b. Is b less than 30\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 = -77*l - 602. Let h be (5\/(-3))\/(2\/6). Put -2, l, 14, h in descending order.\nAnswer: 14, l, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (674 - 465 + 4131)*(-3*l**4 + 4*l**4 - 2*l**4) to the form i*l + n + q*l**2 + b*l**4 + c*l**3 and give b.\nAnswer: -4340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30222 - 12306?\nAnswer: -42530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 474045146 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72389 is divided by 36189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = t - 70, -8 = -4*m + 3*m - 5*t. What is the second derivative of 0*c**2 + m*c - 15*c + 0*c**2 + 51*c**5 wrt c?\nAnswer: 1020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -35*d**3 + 32*d**2 + 11*d + 91. Let k(b) = -18*b**3 + 16*b**2 + 5*b + 42. Give -6*f(y) + 13*k(y).\nAnswer: -24*y**3 + 16*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 10*k + 16. Let o(a) = a**3 + 9*a**2 + 2*a + 7. Let s be o(-9). What is the units digit of w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431*y + 124*y**3 - 212*y + 298*y + 278*y**3 wrt y?\nAnswer: 2412*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/26)\/(0 - 3\/(-1356)). What is the second derivative of 41*a**4 - u*a + 447*a - 246*a wrt a?\nAnswer: 492*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let f(v) be the third derivative of v**4\/24 + 4*v**2. What is f(p(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45431255 and 411?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 282*t - 1646. Determine d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)\/((-1)\/(-4)). Suppose -b + 10 = t*b. Suppose 0 = -5*s + s + 12. Is b at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 2*m - 2)*(-1 + 0 + 0)*(12 + 30 + 13)*(6*m + 20*m + 4*m) in the form q*m**2 + y + b*m and give q.\nAnswer: -3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23928542 + 8898542. What is m rounded to the nearest one hundred thousand?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4858 and 1246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793866.\nAnswer: 2, 7, 11, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 16*m**2 + 10*m + 4. Let p be n(15). Let x = p + 81. Let f(v) = v + 20. Let q be f(-15). What is the highest common factor of x and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from {p: 2, i: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 456, 1069, 1926?\n\"Answer: 122*q**2 + 3*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1589.\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6476 + -1.24.\nAnswer: -6477.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) -1\/6 (d) 6 (e) 7 (f) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 71*i = -32 + 104. Let s = 6.97 - 7. Let h = 0.27 - s. What is the nearest to h in i, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = -7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = -83*w + 86*w, 1 = 3*w + o. Which is the third smallest value? (a) -3 (b) 6\/17 (c) w (d) -0.2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(63) + sqrt(7) - sqrt(7)) + -3 + -3*sqrt(5).\nAnswer: -8*sqrt(5)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15.33. Let n = p - 0.03. Which is the second smallest value? (a) -0.1 (b) -2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26657453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12038541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 14\/3 (b) 1\/50 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 5*q - 5. Let n(x) = 7*x**2 - 6*x - 3*x**2 + 6 - 2*x**2. Let k(w) = -6*c(w) - 5*n(w). Let y(d) = -9*d - 139 + 139. What is k(y(m))?\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19) + 0 - (-3 + 1*sqrt(19))**2.\nAnswer: -28 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let z = 0.6 - -3.4. Which is the third biggest value? (a) z (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + l)*(-7*l**3 - 2*l**3 + l**3) + 4677 - 133*l**4 - 4677 as j + f*l**2 + v*l + w*l**4 + o*l**3 and give w.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 5616*j**2 - 2628288*j.\nAnswer: -3*j*(j - 936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193160 and 2200.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 4. Let o(h) = -4*h + 11. Let a(v) = -2*v + 6. Let k(n) = -7*a(n) + 4*o(n). What is the remainder when 25 is divided by k(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 32635 + 1676. Let b = -137371\/12 + q. Calculate the common denominator of b and (-297)\/(-360)*-2 + 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1440 + -14?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -18 + 183 - 164. Let y(r) = 33*r - 9. Calculate -9*j(d) - y(d).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, h: 3}. What is prob of sequence si?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-4))\/((-6)\/(-32)). Suppose -5*m - 4 = -7*m. Let x be (-3 - (-14)\/4)*-2. Put m, x, r, -2 in increasing order.\nAnswer: -2, x, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/7, -5, -1\/6, -18\/19?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-4)*j)\/j*j)**(-1\/19))**(1\/6) assuming j is positive.\nAnswer: j**(1\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 684058760 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(39)*2 - -2*sqrt(2496))\/((6*sqrt(6)*2)\/sqrt(2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:19 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 17?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 392.2 and -2.\nAnswer: -784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from xoxxoxxxxxxxcoxxx.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/12 + 3*y**3 + 79*y**2\/2 - 36*y. What are the prime factors of p(-24)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 28. Let z(u) = -y + 2*u - 3*u - 2*u. Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -333, 38752 in increasing order.\nAnswer: -333, 0, 38752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 9:03 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 1087 (c) -0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210296200 rounded to the nearest 100000?\nAnswer: -210300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*h + 94*h - 3097 - 3581 = 0 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 21 + 1 - 37 - 98*x**2 + (-x + 4*x - 2*x)*(-2*x + 1 - 1).\nAnswer: -100*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.95 - 0.25. Which is the nearest to h? (a) -3 (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(2*sqrt(847)))\/((sqrt(54)\/(sqrt(2) - (sqrt(2) - sqrt(200))))\/sqrt(3)).\nAnswer: 5*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 22. Let o = -0.959 - 0.041. Which is the smallest value? (a) o (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/160 + 3*d**4\/64 - 6*d**2. Solve g(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6 + (-1 - -6 - 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -191, -193, -195, -197?\n\"Answer: -2*y - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4397 - 4381. What is the remainder when 783 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 10.39361.\nAnswer: -11.432971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -354, -361, -368, -375?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5649584431?\nAnswer: 19, 829, 358681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 81.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 11. Let h(i) = 2*i + 29. Let o be h(-12). Suppose 3*v - 64 = -o*v. Calculate w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-35)\/(-5))*25*1100\/5000?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6432813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 1.2. Let m = -47 - -48.9. Let c = m + g. Is c less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7624.882kg to milligrams.\nAnswer: 7624882000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(119)\/(sqrt(567) + 3*sqrt(567) + sqrt(567) + sqrt(567) - sqrt(567)).\nAnswer: 2*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -23. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14372*c**2*h*q + 200245*c**2*h + c**2*q - 9*c**2 - 1138*c*q - 2*h with respect to q.\nAnswer: 14372*c**2*h + c**2 - 1138*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/831?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**2 + 3. Let g(w) = -7*w**2 - 5. Let h = -19 - -4. Let v(r) = 3*r**2 + 2. Let m(p) = h*v(p) - 6*g(p). What is m(d(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -29. Suppose k*t = 14*t + 12. Factor 2\/7 + 120\/7*n**2 + 128\/7*n**4 + 26\/7*n + 32*n**t.\nAnswer: 2*(n + 1)*(4*n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let j(g) = 4*g + 10. Let x be -1 + 5 + 0 - 4 - -6. Suppose 15 = 3*q, -x = -r - 3*q + 10. Calculate r*j(m) - 10*z(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 21770430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 151944000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/11, 26, -2, -0.4, -2\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*w - 42, 2*d - 39 = -2*w - 9. Suppose -13*t - 17*t = -600. Calculate the remainder when 2\/1 + t + 0 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1443*x - 19 = 1440*x, 4*c - 110 = -14*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:17 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114586361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c**2*i**3*x - 762*c**2*i**2 + 14*c**2*x + c*i**3*x + 54*c*i**2*x + c*x + i**3 + 15*i**2*x - 2*i**2 - 10*i wrt c?\nAnswer: -26*i**3*x - 1524*i**2 + 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*w**2 - 134*w**2 + 7*w**2.\nAnswer: -261*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056082 is divided by 13201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + f)*(-5 + 2 - 2)*(-2*f**2 - 3*f**2 - 3*f**2).\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/2 - 218169*o\/2 + 763616 = 0. Calculate o.\nAnswer: -218176, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(1280) - (sqrt(80)*-4)**2).\nAnswer: 80*sqrt(5) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74544 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32747?\nAnswer: 11, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-47)\/3)*(-15)\/5. What is the second derivative of 3 - 4*p + t*p**5 - 46*p**3 + 90*p**5 + 46*p**3 + 4 wrt p?\nAnswer: 2800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*o - 244*o - 204 = 0. Let v = o - -104. Solve -u - 8 = -v*w + 2, 3*w = 3*u + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20730)\/236322*6\/5\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225\/(-6)*4\/(-5) and 14\/6*(-12)\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:11 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 106.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -37*b + 14. Let q(z) = 12*z - 5. Let d(c) = 960*c - 2884. Let g be d(3). Calculate g*i(f) - 11*q(f).\nAnswer: 16*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21692370 divided by 42.\nAnswer: 516485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 2*j + 6, 4*p - j = 3. Let r(d) = -d + 4*d - d - 3*d - 9. Give r(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 138*k + 1.\nAnswer: -138*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044348 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 2 + 4 + sqrt(1539)*2*5)**2.\nAnswer: 1188*sqrt(19) + 186255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*b = -56, -b - 3*b + 18 = 3*t. What is the remainder when 27 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 - (4 + (-11 - -6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -2\/7, -3 in descending order.\nAnswer: 3\/10, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-30))\/(12\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*p - 28*p - 4*p**2 - 4*p**2 + 0*p**2 wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 11*t - 9. What is the hundreds digit of p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67548195.\nAnswer: 3, 5, 11, 13, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - 1.2. Let x = -78.3 + 78. Sort 2\/67, s, x in decreasing order.\nAnswer: 2\/67, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from atjjjoojoojjtjaoj?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.843005 - -0.112695. Let c = 6.893759 - z. Let w = -0.062 - c. What is w rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1375 - -2842. Suppose -4327 = -2*r + d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 54. Let q be (-16)\/3*(-9)\/6 - 0. Let j be 0 + 28\/q + -1. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from xwtjlxjwtljjjjxw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/11704 and -111\/6160.\nAnswer: 117040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 + 686*f**3 + 697*f**3 + 22*f**2 - 1386*f**3.\nAnswer: -3*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 12 = 10*w. Let r be (-21 + -1)*(w - 3\/(-2)). Solve -r = -2*v + 5*n, 4*n + 5 = v - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - 0) + (18 + -2 - (75 - 70))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 22. Let w = 4.124 - -1.876. Which is the smallest value? (a) l (b) -0.03 (c) w (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 16. Let q be h(13). What is the least common multiple of ((20\/(-25))\/(-1))\/(q\/(-15)) and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367.81 * 7418.\nAnswer: -2728414.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*4\/(-144))\/((-1)\/(-15)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 2 - 58*c**4 - 93*c**4 + 55*c - 17*c - 15*c - 19*c as z*c + h*c**3 + o + r*c**2 + a*c**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -1 (c) 0.05 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 + 8)*(580*y + 579*y - 1177*y).\nAnswer: -126*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a microgram in nanograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/189)\/((-36)\/(-24))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-2))\/((-2)\/(112\/12)). Does 2 divide 5 + (1 + 0)\/((-7)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/6)\/(r\/((r*r\/r**(-5\/4))\/r)))\/(r*r**0)**(-22\/3))**(-30))**24 assuming r is positive.\nAnswer: r**(-6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 12*z**2 + z - 10. Let c be p(12). Let n(u) = c*u**2 - 2 + 5*u + 2*u - 4*u. Give n(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011111111 - -11001010?\nAnswer: -10111000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 290 - 1*3*(-4)\/12. Suppose m + 194 = -2*x - 0*x, -3*x = 3*m + 573. Let y = b + m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1782 divided by 27.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262 + 264. Let x be (w\/(-7))\/((-47)\/329). Solve -5*k = x*i + 22, 2*i = -2*k + 4*i - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u + 1. Let s be d(4). Suppose s*m - 935 = 2*m. Calculate the remainder when m is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6996857 is divided by 3648?\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 17*b**2 + 19*b + 282. Calculate y(-17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 6:50 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -13496290\nAnswer: 13496289.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 3, a: 3, h: 1, o: 1, e: 2}. What is prob of picking 1 o, 1 c, and 2 e?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15157383 (base 9) to base 13.\nAnswer: -173ba3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042778333 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 + -1)*(19 + (-8337)\/(-84)) is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4255*l - 4296*l = -164. Let j(y) = 9*y**2 - 4*y - 9. Let x(h) = 10*h**2 - 5*h - 10. What is l*x(k) - 5*j(k)?\nAnswer: -5*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/2 - 7*r**2\/2 + 4*r. Let m be u(3). What is the second biggest value in 5\/3, m, -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 7*p**2 + 3*p + 17*p**2 + 13*p**2 to v + r*p + b*p**2 and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9675 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from tyyayayyyyyayayya.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geiggigheh. What is prob of sequence ge?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2 + 2 - 3*k**3 - k. Let p be w(-1). Suppose -p*s + 1 = -3. Which is the biggest value? (a) -2\/23 (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97063*v = 97069*v - 138 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*b**2 + 2*b**2 + 53*b**2.\nAnswer: 142*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - -4 - (93 - 87).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 23. Let q be p(-7). Suppose -3*w = 4*x + 30, -w = -2*x + 4*x + q. What are the prime factors of (x\/(-5))\/(20\/200)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3481570.\nAnswer: 2, 5, 53, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:44 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325*-3.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -537 - -546. Solve x*u + 45 = 14*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -584. Let c = -206 + g. Suppose 2*p - 63 = -4*h + 15, -c = -4*p + 4*h. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 1096\/140) + 6\/14. Put -1\/2, o, 12, -2\/7 in descending order.\nAnswer: 12, -2\/7, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3029010*s - 3029000*s + 213 - 63 - 81 - 69.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 - 1 - 3*m + 2*m**2 - 4*m**3 + 1 - 3. What is the remainder when 9 is divided by d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63a (base 14) to base 3.\nAnswer: -1200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1427100 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92 minus 0.6979888?\nAnswer: 2.2220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 2)*(-2 + 2 - 1)*(3 + 1 - 3)*(-28*t + 16*t - 70*t).\nAnswer: 410*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 304 = -8*r. Let y = 41 + r. Solve -y*t + 0*t = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109343036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1223132 + -3?\nAnswer: -1223135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 338*m - 29071. Calculate q(87).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*q**3 + 3896*h*q**2 - 109*h*q + h + q - 2 wrt q?\nAnswer: -12*h*q + 7792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 455563 = 3*i - 455540, 2*i = o - 19 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -24. Let m be (2\/33)\/((-8)\/a). What is the nearest to -0.1 in -0.3, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q + 6*v - 8*v, v - 3 = 0. Which is smaller: q or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (297036\/(-41255))\/(3\/(-20))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 + 10*f**3\/3 + 4*f**2 - 8*f\/3 - 16\/3.\nAnswer: 2*(f - 1)*(f + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8319.774 litres to millilitres.\nAnswer: 8319774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3048 + 3050. Solve 0 = -p + 3*m - 2, -5*m + 7*m = s*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354860 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q - 48. Find the common denominator of (-14)\/(-6) + -2 + (-1685)\/330 and 77\/q - 4\/(-24).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 403 (c) 58373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1135 + -434?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42c8 + 4?\nAnswer: 42cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2380 and -71\/757050.\nAnswer: 25739700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let s(j) be the first derivative of j**2\/2 - 7. What is o(s(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5*t**3 + 463*l**4*t**3 + 2*l**2 - 34*l - 2*t**3 wrt l?\nAnswer: -120*l**2*t**3 + 11112*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffflfflffflfll. Give prob of sequence flf.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 33*h + 12. Let o(l) = -l**2 + 8*l - 3. Let s(z) = 9*o(z) + 2*q(z). Let p be s(-7). Solve p*d - 2*d + 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*h + 33 - 28, 5*t + h = -9. Sort 5, t, -10 in increasing order.\nAnswer: -10, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167343 divided by 15213\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 243341?\nAnswer: -243350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-161*(-9)\/126))\/1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*i - 363*i - 125*i + 35 + 103*i - 52*i in the form p + d*i and give d.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834029.\nAnswer: 3, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 14. Let r(i) = 5671*i + 4452. Give -318*g(j) + r(j).\nAnswer: 6625*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/14 + (-9)\/(-21). Does a = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -2159, -2979, -3627, -4103?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-20\/9)*i*i**(-18\/5)*i\/(i\/(i*i*i**(-21)*i)*i)*i*i)**3 assuming i is positive.\nAnswer: i**(-782\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*d + 50*d - 230 + 1175 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p - 84. Determine t(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 2, s: 3, d: 4, v: 2}. Give prob of sequence hveh.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -6*j - 95 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334089 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 + 350848*c**2 - 701684*c + 350840 = 0 for c.\nAnswer: 1, 87710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -137*g + 141*g. Suppose -3*w + g = 20. Let s(v) = -v + 30. Does 24 divide s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21121, 84507, 190155, 338065, 528237, 760671, 1035367?\nAnswer: 1352325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 26 - 16 = 0. Let c(b) = 3*b + 5 - 4*b**3 - 1 - 3. Let f(p) = -9*p**3 + 7*p + 1. Determine d*c(m) + 3*f(m).\nAnswer: m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232167872.\nAnswer: 2, 137, 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaag.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1603 bigger than -2625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -708\/407705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -15 + (35 - 30).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 35. Let s(k) = -k**3 - 5*k**2 + 14*k - 4. Let z be s(-8). Let j = z + h. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -881, -0.5, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.5, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 7. Give t(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 174 = -72. What is the least common multiple of i and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 361*n**8\/48 - 553*n**4\/4 - n**3\/6 + 761*n**2. What is the second derivative of v(l) wrt l?\nAnswer: 50540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/37 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.55767 nanometers to kilometers.\nAnswer: 0.00000000000855767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.168706 millennia to centuries.\nAnswer: 31.68706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/(147\/(39249\/(-712)))*-22*1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 6. Suppose -226*k - 1773 = 4*k - 33*k. Let i(b) = 13*b - 25. Give k*y(g) - 2*i(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44\/429)\/(2\/(-3)). Let v = -5.9 - -6.7. Let c = -1.2 - v. What is the closest to c in -2\/5, s, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + (-264)\/(-22) + 37.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2850 + 1484 - s + 1366.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, 2, -3 in descending order.\nAnswer: 3, 2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5693446 - 9192554. Round i to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*x = -3*x - 16, -3*f - 2*x = 26. Let y = 11 + f. What is the first derivative of -t + y*t - 7 + 21 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 2*c**2 + 3*c + 1. Let h be w(-1). Solve -7 + 3 = -m + 2*v, -8 = h*m + 4*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1870*y + 16052. Give j(-8).\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 - 155. Solve k - 4*d = 3, p*k - 12 = -k + 2*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16 + (-795)\/424\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549d79 (base 15) to base 14.\nAnswer: 76d965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (275\/22)\/(2\/8).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23600 take away -0.4?\nAnswer: 23600.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -399fe9 (base 16) in base 2?\nAnswer: -1110011001111111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 + 355. Solve -g = l - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*f + 7 + 2 = 0, 3*f = 3. What is the second smallest value in l, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**4 - 2118*t**3 - 2112*t**2 + 2118*t + 2115 = 0.\nAnswer: -705, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 726205636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*2 + sqrt(120)\/sqrt(5))\/((sqrt(8)*-5*-2 + sqrt(8) + sqrt(8) - sqrt(8))\/sqrt(4)).\nAnswer: 14*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let t = x + 3. Let q = -9 + 8. Which is the closest to q? (a) 2\/23 (b) 3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, -89, -127, -143, -131, -85?\n\"Answer: l**3 + 2*l**2 - 67*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 - 0.8. Let a = 31109 + -31108.939999. Let v = a + p. What is v rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1111404 divided by -92617.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.8 - 26. Let l = -63 - -104. Let h = l + -40.9. What is the nearest to h in -1, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from mmmmimkmmmmkmmmimk.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-237)\/(-78) - 3). Let p = d - 16. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 - 11*t + 5. Let u be n(4). What are the prime factors of (6\/u)\/((-3)\/(-162))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 36, 32, -36, -204?\n\"Answer: -6*t**3 + 22*t**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**2 - 7\/3*n**3 + 8*n + 3\/2*n**4 + 3. Let l(t) = -5*t**3 + 6*t**2 - 7. What is -7*l(s) - 6*p(s)?\nAnswer: -s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(1\/4))))**(-9)\/((n\/n**(-1\/13))\/(n*n\/(n*n\/(n\/(n\/(n*n**(7\/3)\/n)))*n))) assuming n is positive.\nAnswer: n**(-1715\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (-5 + -2 + sqrt(175))**2)*-3 - (2 + sqrt(175)*2 + -5 + (-1*sqrt(175) + sqrt(175))**2).\nAnswer: -235*sqrt(7) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686)*-3)\/(sqrt(8)\/(sqrt(4)*-2)).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5060 divided by -110\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-22)*157\/471.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 93.282813ms?\nAnswer: 0.0000010796621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Let h = 2 + -4. Is (-57)\/2*h\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:29 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 2*x. Suppose 0*t + 12 = 3*t. Let n(s) = s**2 - 4*s + t*s. Let c = -6 + 5. Determine c*p(g) - 5*n(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -368942, -737885, -1106828, -1475771, -1844714?\n\"Answer: -368943*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3*v + v - v)*(4 + 0 + 0)*(-2 - 2 + 3).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*n = -803838, 0 = -33*c + 34*c - n - 803818. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800367216 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.4642t in milligrams?\nAnswer: 845464200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32183, -64296, -96515, -128840, -161271?\n\"Answer: -53*j**2 - 31954*j - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22657 = 8*m - 22751. What is the least common multiple of 20 and m?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f\/f**(-12))\/f)\/f*f)*f)\/((f**0\/f)\/f*f) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from wwwxxwvxuw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*o + 142, -g + 35 = 3*o - 16. Suppose -g + 3 = -15*r. Solve 0 = -r*p + t, 2*p - t + 13 = 4*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*i + 4*d + 1577 = 1582, -2*d = -2*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 8. Let k be f(6). Let b(z) = z**2 + 2*z - 1. Let r(c) = -5*c**2 - 16*c + 5. Let h(n) = 6*b(n) + r(n). Calculate h(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/30 + i**4\/2 - 5*i**3\/3 + 115*i**2. Suppose v(u) = 0. Calculate u.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from cdtcddcdccd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 584679 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 2 (c) -2 (d) -19\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62717538 to the nearest integer?\nAnswer: 7919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -12. Suppose 1 = -2*s + g. Find the third derivative of 4*c**5 + 31*c**s - 36*c**2 - c**5 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 1938*a**3 - 236187*a**2 = 0 for a.\nAnswer: 0, 163, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 4489*w**2\/4 - 2245*w\/2.\nAnswer: w*(w - 1)*(w + 4490)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -2*q, -3*k + k + 2 = -4*q. Solve 7 + 13 = k*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/30 and (4\/20)\/(55980\/(-2100)).\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -4*k, -5*k + 3*v - 5 - 1 = 0. Suppose 5*f + 10 = -5*o, -2*f + 16 = -3*o - k*o. Solve f*b + b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/189, -4, 2, 0.3, -2\/5 in descending order.\nAnswer: 2, 0.3, -2\/189, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51470 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, 5*g - 12 - 3 = -5*z. Which is greater: g or -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + 5*y**2)*(-2*y**2 + 0*y**2 + 0*y**2) - 2 + 2 - 3*y**4 + 4*y**4 - 3*y**4 + 2*y**4.\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-9))\/(147\/567))\/((-5)\/(-35))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 34*m**2 - 235*m - 78. Calculate v(-40).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2372255 (b) -3\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3043939214 and 0.049.\nAnswer: -3043939213.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -185 - 47\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -299284 rounded to the nearest one thousand?\nAnswer: -299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*o - 4*k, -8 = o + 4*k. Let r be -1 + 0 - (-4 - 3). Let h(s) = 5*s + 0*s - r - 2*s. Calculate h(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578 at most 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:40 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b**3 - 5*b**2 + 10*b + 8. Let u be o(-5). Suppose 3*l - 900 = 4*y + y, 4*l - 4*y = u. What is the remainder when l is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103757.1112 rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v)\/v)**26\/(v*v\/(v\/(v**4*v))*v*v**(2\/5))*(v*v\/v**6*v*v**(-2\/7)\/v)\/(v*v\/(v**3*v*v)*v*v*v**(-4\/9)) assuming v is positive.\nAnswer: v**(-6502\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*s + 94908 = 0, 25*j - 24*j - 2*s - 31636 = 0. What are the prime factors of j?\nAnswer: 2, 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*y**2 - 44632977*d*y + 5359*y**2 - 57 wrt d.\nAnswer: 2*y**2 - 44632977*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:50 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 - x + 10. Let t be q(7). Put 12, t, 1, -3 in descending order.\nAnswer: 12, t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dobo. What is prob of sequence do?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - w + 64 + 91 = 0, -2*v + 62 = 4*w. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.60507 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1341*s - 4906330 = 871*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119 or -118?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10646 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (175\/(-45))\/(109\/((-42183)\/(-86)))\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let t(n) = -61361*n. Determine y(t(p)).\nAnswer: 61361*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22087 + 22103. Let m(i) = 3*i**2 - 5*i + 6. Let h be m(-6). Calculate the greatest common factor of d and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 29*(-3 - -2). Suppose 8 = 4*q - w. Is ((-246)\/q)\/(2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 55. Let v(y) = -y - 26. Let o(u) = -2*j(u) - 5*v(u). Calculate o(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = -11*d - 298 + 778. Calculate the remainder when 15374 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, i: 3}. Give prob of picking 2 z.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 301735*g + 905250.\nAnswer: -5*(g - 3)*(g + 60350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 17. Let g(n) = 2*n**2 - 6. Let h(b) = 17*g(b) - 6*s(b). Let o(u) = 3*u + 2*u - 2*u - 4*u. Determine o(h(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*o + 25 = 3*o, 4*o - 18 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 8, q: 6}. Give prob of picking 2 t and 1 q.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21092600 rounded to the nearest one hundred thousand?\nAnswer: 21100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11669623.\nAnswer: 7, 113, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-524)\/(-22) + (62\/(-22) - -3). Let m(s) = s**3 - 25*s**2 + 25*s - 6. Is m(j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a - 4*h - 1720, 1292 = 3*a - 2*h. Let s = -242 + a. List the prime factors of s.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from rgrqgrrggqhgh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -19*s**3 - 8*s**2 - 19*s - 7. Let q be y(-2). Which is smaller: q or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9018615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from hhhsshbhhshhhbhh?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) + 1)*-5 + sqrt(28) + sqrt(7) + -2 + -2 + (sqrt(700)*1 + -3 - 1*-3*sqrt(700)))**2.\nAnswer: -360*sqrt(7) + 1719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7015427 decades?\nAnswer: 0.07015427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487230.6 years to millennia.\nAnswer: 487.2306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1339*z**4 - 3*z + 0*z**3 + 1340*z**4 + 5 + z**3 to the form f*z + y*z**3 + a + n*z**4 + x*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3\/5 + 436*q**2\/5 - 1344*q\/5 = 0. Calculate q.\nAnswer: -112, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4943 + -4299a?\nAnswer: -47832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 923659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212298 and 7872?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 3, -19, -3, -0.21, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -18. Let x be 5\/(w\/((-8)\/20)). Suppose 1\/3*n + 0 + 1\/6*n**x = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 4*y**2 + 47. Let f(o) = -o**4 - 2*o**3 + 6*o**2 + 47. Let z(v) = -3*b(v) + 2*f(v). What is the first derivative of z(d) wrt d?\nAnswer: -8*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 2*f - 8*f - 5*f in the form h*f + d and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - 2635\/(-68) - (-2 + 1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 139, 459, 1083, 2113, 3651?\nAnswer: 5799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 99*z - 728. Calculate x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 - 37*j**2 - 105*j - 913. Calculate q(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111158.\nAnswer: 2, 55579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-1190)*-19 + 294\/343?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1557 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1548121, -3096272, -4644423, -6192574, -7740725, -9288876?\n\"Answer: -1548151*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 214060*m**5 + 25869*m + 26.\nAnswer: 4281200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/9*(-6)\/4. Let j = -3941263\/16 - -246331. What is the common denominator of w\/(48\/(-145) + 0) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1497689017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a. Let q(n) be the third derivative of n**5\/20 - n**4\/12 + 142*n**2 - 2*n. Calculate 14*k(t) + 6*q(t).\nAnswer: 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.613?\nAnswer: -0.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxcencnnxcexqren. What is prob of picking 1 x, 1 e, and 1 r?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-150)\/(-140) + 11\/(-22). What is the closest to -3\/5 in -3, 0.06, 0.3, t?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 2. Calculate h(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjw when four letters picked without replacement from {n: 3, j: 6, w: 4, e: 4}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22443411 and 1209.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6560\/134 + 1671\/37319\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22593 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22d80a + -c?\nAnswer: -22d818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1091, -1211, -1331, -1451?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -542977335*m*w - 197272180*w + 2 with respect to m.\nAnswer: -542977335*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159.4 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-8))\/(26\/8) - (6 - 5).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 + 521 + 2924*x - 2864*x - 7.\nAnswer: 60*x + 735","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 818*q**3 - 5 + 21*q**3 - 109*q**3.\nAnswer: -906*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzgzz. Give prob of picking 2 g and 2 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 10*g + 10. Let x(r) = r**3 - 3*r + 3. Give -6*p(d) + 20*x(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**5 - c**4 + c**2 + c. Let u(z) = 7*z**5 + 5*z**4 - 2*z**3 - 6*z**2 - 6*z. Let n(h) = -6*l(h) - u(h). Factor n(m).\nAnswer: -m**3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 152*o - 64. Let k(v) = -14*v + 6. Let a(d) = -32*k(d) - 3*q(d). Let u(z) = 15*z. Give a(u(p)).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 2, k: 1, e: 1, w: 1, g: 1}. What is prob of sequence eulg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 121, 5 in descending order.\nAnswer: 121, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/560053?\nAnswer: 10\/560053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736043 to the power of 1\/2, to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 times -10.7\nAnswer: -4.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 4*b, 0 = j - 5*b + 11. Suppose j*h - 206 = 286. Suppose -h = -2*w - w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*u - 4*v, -28*u - 7 = -23*u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -143*a - 1281. List the prime factors of v(-35).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.46 - 0.06. Let i be (-4)\/(-26) + (-77)\/78. Let f = i - -1\/6. What is the closest to -2\/7 in f, c, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/2 and -23238652 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14127514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/9, -12\/5, -8 in decreasing order.\nAnswer: -2\/9, -0.5, -12\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4381*u**2 - 23 + 140*u**2 + 17.\nAnswer: -4241*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d)**(-6\/11)\/(d*(d*d**(1\/5))\/d*d*d\/((d**(-1\/2)\/d)\/d)) assuming d is positive.\nAnswer: d**(-687\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.2, -1\/1566204?\nAnswer: -1\/1566204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/11 and 10\/(-2) - 300\/(-44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z. Let c(t) = 4*t + 5. Let s(g) = 6*g + 8. Let v(n) = 8*c(n) - 5*s(n). Calculate q(v(x)).\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m + 11. Is t(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -597.51 + 412.3. Let r = 186 + g. Round r to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2 - 2)*(-604 + 4629*w - 9247*w + 4621*w)*(-7*w + 3*w + w).\nAnswer: 18*w**3 - 3624*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -2*n + 1, -n = -5*r - 11 + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(187) + sqrt(187) + sqrt(187)))\/(sqrt(275)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/(z\/z**(-1\/15)))\/(z*z\/((z**(1\/5)\/z)\/z))**(-12\/7) assuming z is positive.\nAnswer: z**(-583\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/((-30)\/264447))\/9. Let j = s + -4881. Calculate the common denominator of 1 + 2 - (-19)\/(-20) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143171 is divided by 45445.\nAnswer: 6836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:25 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1430 - 122407?\nAnswer: -124037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 88, 2 in decreasing order.\nAnswer: 88, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/10 - (-12)\/20. Suppose -790 = -f*m + 225. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j + 7*j**2 + 4*j + 3 - 5*j**2. Let f be z(7). What is the second derivative of 5*i**f + 5*i + i + 5*i**3 - 11*i wrt i?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207535 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 75*g + 325. Let z be n(-18). Let w be (79\/6)\/((-1)\/4). Is w less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 14. Give s(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.445, -98, -0.4 in increasing order.\nAnswer: -98, -0.4, 0.445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3*sqrt(95) + sqrt(95))*4)\/(-1*sqrt(320)) + 2)**2.\nAnswer: 20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 300*b**2 + 87*b + 88. Give j(-1).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3211362 or -3211361?\nAnswer: -3211361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/27552 and 83\/206640?\nAnswer: 413280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97701 - -97717. Suppose -3*l = -2*v + 6, -2*v + 5*v - 9 = -2*l. Solve -2*m = -v*p - a - 3, 4*m - 23 = p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102145*c + 102340*c = 8580 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/45)\/((-40)\/(-50)))\/(58\/(-261)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Which is smaller: 2\/7 or s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-11))\/3 - (-160)\/275?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56141\/81 - 1387\/2. What is the common denominator of m and 49\/20?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-9\/10) assuming r is positive.\nAnswer: r**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d + 4*d - 77*d - 2.\nAnswer: -112*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -24. Which is the third biggest value? (a) 0 (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2029 divide 36362555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -25, -3\/139, -0.19, -0.4, -5?\nAnswer: -3\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 2*s**2 - 39199*s**3 - 4*s**2 + 9 + 35*s + 39203*s**3 + 26.\nAnswer: 4*s**3 + 35*s + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 + 1.2. Let w = g - 9. Which is the second smallest value? (a) w (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-9)\/(-108) - (-15634)\/8. Suppose -384 = -1960*j + t*j. Solve j - 69 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c. Suppose c = 3*j - 5*w + 9 - 31, 5*j + 5*w = 10. Suppose 0 = -0*f - j*f + 40. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 9*b**2 - 5*b - 24. Let p be i(8). Suppose -j = -p*j - 0*j. Suppose j*o = -o - 3*q + 34, -32 = -3*o + 5*q. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1291 - 41*a + 7*a - 32*a.\nAnswer: -66*a + 1291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/26*9\/(17640\/364).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 - (-58 + (66 - -60))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2 - 1189*f + 19391. What is o(88)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-45)*1956\/2282?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10926, 10871, 10836, 10833, 10874, 10971, 11136, 11381?\nAnswer: 11718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101001011010 - 1?\nAnswer: -10001101001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7214911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*y + 144, 0*f = 5*y + f - 234. Let r = 143 - y. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/3*w - 276 + 8\/3*w**2.\nAnswer: 2*(w - 18)*(4*w + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28660 and 5188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025298618 rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.8 - 109.1254. Let l = -0.1306 - a. Let n = l - -2.8. Round n to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4357956 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 46, 69, 94, 121, 150, 181?\n\"Answer: p**2 + 18*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/5, -4\/5, 3, 2, -5\/12, -2.\nAnswer: -2, -4\/5, -5\/12, 0, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91930.71 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_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 value of (7\/((-175)\/(-20)))\/(4\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 256, 469, 766, 1147, 1612, 2161?\nAnswer: 2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1453217, 2906367, 4359515, 5812661, 7265805, 8718947, 10172087?\n\"Answer: -p**2 + 1453153*p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -260, -258, -256?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9815.7 - 9816. Let i = 0 - 3. Let v be (2 + i)*1\/(-3). Which is the closest to v? (a) 0 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 693784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(22)\/sqrt(1331)).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498990762 to the power of 1\/2, to the nearest integer?\nAnswer: 38717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 + -2. Which is the smallest value? (a) -1 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.88 - -0.12. Let o = v - 92. Put 2, -2, -5, o in ascending order.\nAnswer: -5, o, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2325.90106 to the nearest ten.\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-9)*v)\/v))\/(v**(2\/25)\/v*v))\/(v**(-2))**(-11\/9) assuming v is positive.\nAnswer: v**(1682\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 - -2 - (1035 - 1035)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126978*d**3*h*x + 8*d**2*h*x + 20*d**2*h - 2*d**2*x - 8*d**2 - d*h + 4*d wrt d.\nAnswer: -761868*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -23941715.\nAnswer: -9576686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -489110*d*x**3*z - 28409*d*x**3 - 2*d*x*z + 6*d wrt z?\nAnswer: -489110*d*x**3 - 2*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88))\/(-6*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5771240 is divided by 1334.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 - (54 - 12). Let u = -22 - x. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 12*m - 33. Let k = -500 - -560. Suppose 7*i + 25 - k = 0. Calculate j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13495 and 1123.\nAnswer: -15154885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -86 - -1.7\nAnswer: -84.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 8, -3, 2 in decreasing order.\nAnswer: 8, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, -534, -544, -570, -618, -694, -804?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14501, 14499, 14505, 14525, 14565, 14631?\n\"Answer: w**3 - 2*w**2 - 3*w + 14505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {e: 4, j: 14}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3417.385 to the nearest integer.\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j**2 - 3*j + 6. Let k(p) = -146 - p**2 + 73 - p**2 - p + 74. Let y(x) = -14*k(x) + 2*m(x). Factor y(i).\nAnswer: -2*(2*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 6*u**4 - u**2 + 1 - 2*u**3 + 0*u - u in the form y*u**2 + k*u**4 + h + x*u + l*u**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 17*u**2 - 7*u + 19. Let w be j(-16). Suppose 0 = -5*g + w + 513. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/180 - 2*u**5\/15 + u**2 - u - 37. Factor x(a).\nAnswer: 2*a**2*(a - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*d + 631 - 4143 = 1046 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {w: 1, u: 1, l: 4, e: 7, z: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 12 = 4*b + 3*y, -3*b + 5*y = 5. Suppose 0 = -b*f - 5*j - 395, 66 - 302 = 3*f + 2*j. Is (f\/(-8))\/(5\/20) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 23 + 3*r - 31.\nAnswer: 3*r - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3*(u*(u**(-1)*u)\/u)\/u)\/(u**0)**(-6\/25))\/((u**2*u*u*u*u*u)\/((u\/((u*u*u*u**5)\/u))\/u*u)*u*u**(1\/3)*u\/(u*u*u**0\/u)) assuming u is positive.\nAnswer: u**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 + s**2)*(-1 + 1 - s**2) + 2 - 2*s**4 - 2 + (-s**4 - s**4 + s**4)*(0 - 1 + 3) + 68*s**4 - 1045*s**2 + 1045*s**2.\nAnswer: 63*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153)*1*4 + (sqrt(153)*-2 + sqrt(153))*3)*5)\/(sqrt(81) + sqrt(81)*-1*5 - 1*(sqrt(81) + sqrt(81)*1 + sqrt(81) + sqrt(81) + sqrt(81))).\nAnswer: -5 - 5*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/266 and -63\/8626.\nAnswer: 60382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of (311400\/35)\/8 + 2\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/13 + 8\/52. Find the third derivative of 7*h**x - h**3 + 0*h**2 - 2*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 12332.\nAnswer: -55\/12332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/20 + g**4\/4 + g**2. Let w(n) be the first derivative of 2*n**3 + 0*n - 11\/2*n**2 + 93. Give 11*k(z) + 6*w(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 + 26 = 351*x - 39 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gihdhxhh. What is prob of picking 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*(-3)\/(15\/(-25)))\/(-1). Sort -7, n, -4.\nAnswer: -7, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2404.4 + -2404. Put 1\/397, r, 5, -0.3 in descending order.\nAnswer: 5, r, 1\/397, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -12, 2, -47, -396 in decreasing order.\nAnswer: 2, -12, -47, -81, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phph when four letters picked without replacement from pphp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/5 + s**4\/12 + s**3\/6 + s**2\/2 + 20*s. Suppose 4*p = -5*z + 2, -3*z = -3*p - 2*z - 8. Let b = p - -1. What is i(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2) + -1 + -4. Let m be -2 - -2*(-14)\/t. Let i = -0.095 - -0.495. Sort 0.1, m, i in descending order.\nAnswer: m, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2511421.\nAnswer: 2511421","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115045 and 74390?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3476 is divided by 290?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13124 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115973011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 7*t**2 + 6*t + 3. Let p be k(4). Let s = -46 + p. What is the remainder when 15 is divided by (0 - -2)\/(s + 16\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3139789 rounded to 2 decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t)**35 assuming t is positive.\nAnswer: t**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31745, 31742, 31737, 31730?\nAnswer: 31721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -13 - (1 - 12 - (-20 + 18))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose v + f*u = -2*v, 0 = v + 2*u + 5. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1523132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {z: 3, e: 3, a: 1, g: 3, m: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 67 + 18162\/(-270) - 13\/(-30)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - ((69 + -43 - (8 - -13)) + (-10 - 1))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -355 + 359. Let o(f) be the first derivative of -f - x + 0*f**2 + 5\/2*f**4 + 0*f**3. What is the derivative of o(h) wrt h?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-0.02.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 22997 = 2*l, 4*l + 38365 = -7*a + 12*a. Let d = -7 - -7. Suppose d*z + 5*z - a = 3*w, -z + 1539 = 2*w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39211*p**2 - 32*p + 14*p + 5*p + 13*p.\nAnswer: 39211*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1450\/11 - 5191\/66. Let f = -101\/2 + c. Is 2 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/6 - 1948*f**4 + 763945*f**3\/6.\nAnswer: -f**3*(f - 65)*(f + 11753)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 5 - 3124*l**3 + l + 3129*l**3 + 4 in the form t*l + a*l**2 + w*l**3 + g and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 11488 = 12*p. Let k = p - -1298. Is 579 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62.968 * -11\nAnswer: -692.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -166703236 and -166703234 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/(84\/63). Suppose y + 4*y + 15 = 0. Let l be (2\/4)\/(y\/(-18)). What is the second smallest value in t, -5, -0.06, l?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(0 + 5 + 1)*(-108*z + 3 + 0 - 3 - 570*z).\nAnswer: -8136*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 192, -258, 3, 5 in descending order.\nAnswer: 192, 5, 3, -2, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.1, -3, 38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 26*d**2 - 2 + d**3 + 3 to the form p*d**3 + c + i*d**2 + z*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j - 12 + 5 - 41. What is d(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21643*l*x**2 + 10810*x**2 + 1 wrt l.\nAnswer: 21643*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1080.7 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 9*f - 10. Suppose 26*w + 65 + 75 = 10. What is z(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4 + 3 - 15 + 17*m + 16. Let c(y) = -4*y. Let b(v) = 6*v. Let k(u) = -5*b(u) - 8*c(u). Determine x(k(q)).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-420)\/32*9\/15 + (211 - 203). Find h such that -w + 1\/4*h - 1\/8*h**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27611 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 5*z**2 + 12. Let p be n(-5). Is (-39)\/(-30)*5002 - p\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 3. Let g be x(-3). Suppose -9*y - g = -13*y. Does 13 divide 18\/(-3)*(y - -10)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3\/3 - 7075*q**2 + 47750186*q\/3 = 0?\nAnswer: 0, 2558, 18667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -856 or -817?\nAnswer: -856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*f - 3*f**2 + 2 + 32*f as l*f + m*f**2 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088 and 20.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a - 3752715 + 3752715.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 (base 14) in base 6?\nAnswer: 23544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -18*r**2 - 3*r + 1. Let v be z(1). Let h(c) = 4*c**3 + 20. Let i(k) = -1. Calculate v*i(b) - h(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -6. List the prime factors of (v\/(-1))\/((-2)\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-10)*1\/(-22).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:28 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 + 368. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c + 10. Let k = -3002 - -5624. Is 9 a factor of k\/95 + (-4)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*k - 26*k - 28*k = -1248 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + 4*a**2 + a. Let g be b(-1). Solve 2*p - 7 = 2*z + z, g = -4*z + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 - (-3 - -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -53, 11 in decreasing order.\nAnswer: 11, 1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68.7 + -78. Let y = 10 + v. Let r = 4.3 + y. Which is the third biggest value? (a) 2 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29627*d*j**2*u*x + 4*d*j*x - 2*d*j - 219*d*u**2*x - 6*d - 8*j**2*u**2*x wrt j?\nAnswer: 59254*d*u*x - 16*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -31*y**6\/15 - 5*y**3\/3 - y**2 + 18*y. What is the second derivative of x(a) wrt a?\nAnswer: -744*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3)\/(((-450)\/(-20))\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 34364882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + 5*(sqrt(300) - 4*sqrt(300)*1))**2.\nAnswer: -900*sqrt(3) + 67509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let c(d) = 2*d - 2. Suppose 3*a = -3*p - 2*p - 24, a = 2*p + 3. Suppose -2 = 4*m - 3*m. Give m*c(k) + p*n(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, 1.7, -1013?\nAnswer: -1013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attftsstkafkkiit. Give prob of picking 2 k.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 + 54 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 723.\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (7 + 8 - 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglgggggglgllglglg. Give prob of picking 3 g and 1 l.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from {h: 1, x: 1, k: 4, i: 2, b: 2, g: 4}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(-8*q - 5*q + 7*q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*p - 6890 + 14948 = -643*p - 14856 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p**3 + 774*p**2 + 171*p + 65. Let d be n(-32). Let i = 125 - 58. Calculate the highest common divisor of d and i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -5 + -1)**2 + (sqrt(1536) - (-2*sqrt(1536) + sqrt(1536)))\/sqrt(8).\nAnswer: -68*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Suppose 4*m - 158 = p + 38, p + 192 = l*m. What is p rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 13*u**2 + 4*u**2 + (0 + u + 0)*(0*u - 3*u + u) - 1 + 1 - 2*u**2 to the form i*u + y + v*u**2 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30321?\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99451.87l to millilitres.\nAnswer: 99451870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*h = 1558, -3*l = -3*h - 403 - 767. List the prime factors of l.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4730 - 4717. What is the third smallest value in i, -1, 1\/3, -0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(0 + 2*f + 0) + 6*f - 4*f + 3*f - 2 - 2*f + 2 + (-5 + 1 + 5)*(-f + 0 + 0).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 16. Let h(f) = -2*f - 5. Let r(k) = -4*b(k) + 13*h(k). Let u = 19 + -14. Suppose 5 = -u*g - 0. Give r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 = -4*m - 5*f + 912, 3*f - 60 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + a. Let m be p(-2). Solve 0*o = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 175*j**6\/2 - 278*j**5 - 11955*j**4\/4 + 8260*j**3\/3 + 390*j**2 - 720*j - 7586. Suppose y(u) = 0. What is u?\nAnswer: -4, -2\/7, 1\/3, 3\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519426419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/18*57112\/78529?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**2 - 2*f + 1. Let u(b) = 23*b**2 + 7*b - 4. Let w(x) = -6*u(x) - 22*z(x). Let s be w(3). What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 875, 1324, 1773, 2222, 2671?\nAnswer: 3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3*y**2 - 75862*o**3 + o**2*y**2 + 4*o**2*y + 5*o*y**2 - 4*y**2 + 2029 wrt o.\nAnswer: -6*y**2 - 455172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-189)\/54*10\/35*-3. Solve o - f*g = -12, 87*o - 84*o - 2*g = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 - 9*i + 2. Let c be g(9). Let x be 7*(c - (0 + -1)). Calculate the common denominator of -29\/7 and x\/(-10)*221\/39.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 1, -105 in descending order.\nAnswer: 1, -1, -15, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q**2 - q. Let j(x) = -161*x**3 - 3*x**2 + 4*x - 12. Let g(h) = -j(h) - 3*t(h). What is the second derivative of g(d) wrt d?\nAnswer: 984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*x = -2*c - 1, c = x + 4. Suppose 5*v = -0*v + 25. Find the third derivative of -c*n**2 + 2*n**v - n**5 + 5*n**5 + 0*n**2 wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from {p: 2, x: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r - 8. Let z be 7\/14 - (-1)\/2. Let w be l(z). Let q(o) = o - 3. What is q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 36 = c + s, -s = 5*c - 62. Suppose -c*z = 4*i - 15*z - 4, -i - 6 = 3*z. Factor i - 1\/4*h**3 - 3\/4*h - h**2.\nAnswer: -h*(h + 1)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/1*9. Let p = 9 + i. Suppose h - p*h = y - 10, -5*y + 155 = 4*h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3 - 3. Suppose 0 = x*t + 28 + 16. What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occ when three letters picked without replacement from occooccoco?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001057132985 rounded to 7 dps?\nAnswer: 0.0001057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -42. What is the third smallest value in 0.5, 29\/7, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.44 + -10.66. Let v = k - -13.1000295. What is v rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 + 45*f**4 - 135*f**3 + 155*f**2 - 60*f = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5*f - 5*p + 575 = 0, 4*f + 2*p + 1162 = 0. Let m = f + 292. Solve 0 = -m*r + 6*v - 2*v + 16, 3*r - v - 14 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 + 14*p**2 - 2*p + 2. Let y(i) = 4*i**3 - 9*i**2 + i - 1. Suppose -50 = 13*c + 54. Let b(n) = c*y(n) - 5*m(n). Let b(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-108)\/9)\/((-12)\/(-300)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/13 + 81602*i\/13 - 8789688\/13 = 0. What is i?\nAnswer: 108, 40693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155\/63 - 26\/9. Let l = -3\/983 + 4927\/3932. Which is the closest to 0? (a) v (b) -4\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507366235 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/10*-2*(-2824)\/(-48)*-11 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 1207?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2621\/7999 + -5\/421. What is the nearest to 0.8 in r, 4, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 h when four letters picked without replacement from {w: 4, h: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 (base 9) in base 12?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, v: 5, h: 6, u: 6}. Give prob of sequence pu.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {o: 2, r: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (26 - 35)) + (37 - -1) + -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20727 (base 14) to base 13.\nAnswer: -297c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. Sort 3, d, -1.\nAnswer: -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*n + 12, -2 = -n - 2*m + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23788? (a) 0.4 (b) 2 (c) 0.028 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (-1 + -3*sqrt(931) + sqrt(931))**2.\nAnswer: 28*sqrt(19) + 3730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:05 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -521 + 2209. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/6)*(-20)\/(-40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1092, -2668, -5220, -8688, -13012, -18132?\n\"Answer: 10*b**3 - 548*b**2 - 2*b - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 358435849 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*u + 214*u - 105*u - 17*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -0. Let n be 9\/15 - (-374)\/(-510). What is the third smallest value in n, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 - 12\/(-4)). Let f be z\/(3 + (-760)\/252). Let w = f + -75. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 + 6*m - 37 + 78 - 46 + 3*m**2. Let l(s) = -s - 3. Let i be l(-6). Suppose -i*f + 32 = 4*p, -f + 2*p = 4*p - 14. Give h(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8540015 and 8540001 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 + 26*m**2 - 519 wrt m.\nAnswer: 12*m**3 + 52*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14820000 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25827, -25824, -25819, -25812, -25803, -25792, -25779?\n\"Answer: h**2 - 25828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 0.0636?\nAnswer: -0.20988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Let h(v) = v**2 - 4*v - 3. Let o be h(s). Suppose -o = 3*y - 17. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:44 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(8)*2)**2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26588 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 19*s**2 + 68*s - 283. Give b(-12).\nAnswer: 1637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-522)\/145)\/((-4)\/(-10)))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 47 - 3486*o**2 + 44 to the form a + p*o**2 + n*o and give p.\nAnswer: -3486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 24. Let t = 11 + -8. Let u be (t\/(-12))\/((-22)\/m). What is the closest to 2\/5 in -0.4, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29936 is divided by 936.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = 0, 8 = -2*q - k + 31. Let j(o) = 6 - 40715*o**2 - 40716*o**2 + 81430*o**2 + 9*o. What is j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6 - (-4)\/6. Suppose q + 15 = -r*q. Let m(o) = -4*o - 1. Let b be m(q). Solve -5*y + 4 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -287 in 53, 0.4, -3, 1\/2, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 251088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*m**2*t**6 + 108*m**2*t**2 - 21*m**2*t - 2*m**2 + 135*m*t**2 + 47580*t**6 wrt t?\nAnswer: 2160*m**2*t**3 + 5709600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w + 16*w + 14*w - 43*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*w - 766, 0 = -5*w - 10*t + 7*t + 959. Let v = w - 85. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2 = -d. Suppose 11 = -5*z - d*k + 30, 16 = 2*z + 5*k. What is the units digit of ((-6)\/z)\/(-4)*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6397*a**3*i*s*w**3 + 155*a**3*w**3 + a*i*s*w**3 - 3*s*w**3 wrt i.\nAnswer: 6397*a**3*s*w**3 + a*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -2.865.\nAnswer: -2.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -2*v - 3*b, 0 = -v - 3*b. Suppose 0*x + v = x. Solve 0 + 1 = -s + x*y, 3*s - 17 = -y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 - 2*r - 1. Let y(n) = 3*n**3 + 7*n**2 - 4*n - 2. Determine 5*l(t) - 3*y(t).\nAnswer: -4*t**3 - t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21124891.\nAnswer: 37, 59, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, -21 in increasing order.\nAnswer: -21, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r + 1061 - 4454. Let k(f) = f**3 - 14*f**2 - 11*f - 31. Let c be k(15). Calculate the highest common factor of r and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2690)\/(-4) + (-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 24 (b) -3 (c) -3759 (d) 2\/5 (e) 4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/3, -0.061, -0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*i = -293*i + 100. Which is smaller: 22 or i?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/5 + 144*g**2\/5 - 948*g\/5 + 1296\/5 = 0.\nAnswer: -54, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12. Differentiate -2 + 0 + 18*w**2 - b - 14*w**2 with respect to w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + 3*w**2 + w - 2. Let j be i(-2). Suppose 3*t = -0*t + 66. Suppose -t = -3*r + j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*m**3 + 382*m**3 - 1067*m**3 + 305*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 3*m. What is the units digit of -1 + (m - -6) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.9, -22, -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z = 3*v + 34, 7 = z - 4*v. Let y(r) = -r**2 + 10*r - 4. Let g be y(10). Suppose 0*h + 5*h = 15. Put g, z, h in increasing order.\nAnswer: z, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/5 (b) -4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -579\/5. Put -0.2, 2\/3, v in increasing order.\nAnswer: -0.2, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 265016067*g. Let i(s) = -2*s. Determine i(t(b)).\nAnswer: -530032134*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*-9*(-5)\/(-15)*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:46 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120221 - -4?\nAnswer: 120230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 12) to base 3\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -72. Which is the nearest to 0? (a) 5 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12710 is divided by 2110?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83.5 and 5.6197.\nAnswer: 469.24495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n**2 - 3*n**2 - 2*n**3)*(4 - 2 - 1) + n**3 - n**3 - 2*n**3)*(-13*n**2 + 12*n**2 - 33*n**2).\nAnswer: 136*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - -598) + (6 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(162) + 1 + sqrt(288).\nAnswer: 1 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l**2 + 3. Let q be z(-3). Solve 7 = 5*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-18)*v*v*v\/(((v\/((v\/(v**(-10)\/v))\/v))\/v*v)\/v))\/(v**(-2\/29)*v*v**(2\/43)) assuming v is positive.\nAnswer: v**(-6207\/1247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + z)*(1 - 2*z - 1) - z**2 - 2 + 2 + 1 + z**2 - 1)*(16 - 2 - 6 + (0 + 2 - 1)*(-4 + 0 + 5) - 2 - 2 + 3)*(141*z + 132*z - 271*z - 28*z**3).\nAnswer: 448*z**5 - 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*r + 26330 - 26330.\nAnswer: -610*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/6 - b**3\/2 + 3*b. Let k be w(2). Let r = 3 + k. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 1923800?\nAnswer: 1923795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let y(r) = -6*r - 1 + 3*r - 3. Let t be y(-3). Let k(b) = -4*b + 3. Let l(o) = t*k(o) - 15*c(o). Give l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(2576\/(-616) + 6 + 0)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -10*x - 28*x - 106. What is the smallest value in -0.053, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19649*i = 422896 + 1502706 for i.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + (-3 + 2 + -2 - -7). Differentiate -18*c**4 - 74 + a + 6*c**4 wrt c.\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:35 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + (-18 - -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(2448) + sqrt(2448) + 0))**2.\nAnswer: -156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p**4 + 5658*p**3 + 57579*p**2 - 101688*p - 71676 = 0.\nAnswer: -11, -6\/11, 2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15868.79063 - -15736.79. Let k = 132 + d. Round k to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*f + 4*u - 33394 = -187*f, 0 = 3*f - 2*u - 50099. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*u = -6*t + 21, -3*t - 3*u + 15 = 0. Suppose v + 8 = -t*v. Let o be 66\/(-12)*4\/v. What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 233*f**2 - 256*f - 18. Is 27 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 14549*f + 1530372. Determine d(-103).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z**(-1\/4)*z)\/z)*z)**(-23))**(-24))**(-2\/131))**(-3\/2) assuming z is positive.\nAnswer: z**(3726\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8785.129 nanograms in tonnes?\nAnswer: 0.000000000008785129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 9. What is the remainder when c(-16) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 110, 201, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v**5 - 1494172*v**4\/5 - 1923378*v**3\/5 - 756234*v**2\/5 - 84024*v\/5 = 0. Calculate v.\nAnswer: -4668, -3\/5, -1\/2, -3\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/3 + 3*k**3 + 2*k**2 + k\/3 = 0. Calculate k.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -48, -117, -202, -309, -444?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/3 - 326112*d**2 - 652226*d - 978340\/3 = 0. What is d?\nAnswer: -1, 489170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3320, -6673, -10026, -13379, -16732?\n\"Answer: -3353*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63, -61, -57, -51, -43, -33, -21?\n\"Answer: o**2 - o - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26146225 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5574875 (base 10) in base 8?\nAnswer: 25210333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 25. Let s be 445*3\/3 + 0. Suppose u*j - s = 30. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 89*p + 1336. Calculate v(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let d(w) = 42*w - 3. Let y(c) = 43*c - 4. Let g(p) = p - 10. Let f be g(6). Let j(l) = f*d(l) + 3*y(l). Determine j(a(n)).\nAnswer: -78*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3950775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 615964.07 to the nearest 1000.\nAnswer: 616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 71293614 divided by -2096871\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -821 - -847. What is the greatest common divisor of f and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**6*u**3 + 19*q**4*u**3 - 10*q**2*u**3 + 10*q*u**3 - u**3 wrt q?\nAnswer: -720*q**3*u**3 + 456*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1*(6 - 0). Let p(g) = -g + 1. Let y be p(w). Suppose y = 2*h - 5. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**3 + 3*i**2 + i - 4. Let w be (-8)\/(-2 - 0)*33\/(-66). Let z be a(w). Let b = -385\/8 - z. Calculate the common denominator of b and 85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273598, 1094471, 2462604, 4377997, 6840650, 9850563, 13407736?\nAnswer: 17512169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 17*j + 240 = -8*j + 26*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 + 221. Suppose j*h + 522 = 4826. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:13 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-2))\/((-11)\/(231\/14)))\/(64\/160)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 20 = 0, 4*t + 156*p = 153*p - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 8:19 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 - (6 - (-6 + 3)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 4*m + 219. Let u be t(0). Suppose o - u = -2*d, 15*d + 334 = 18*d - 4*o. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85555538 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let g = y + -14. Is 19 - (-6)\/(g\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -5, 1\/29, 4, -3\/4 in descending order.\nAnswer: 4, 1\/29, -3\/4, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + j = -2, 0 = 4*g + g + 4*j - 17. Which is the nearest to g? (a) 0.3 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4)*o\/o**(-2\/13))\/(o\/(o\/(o*o*o*o**1*o)))**(-5\/6))**(-5) assuming o is positive.\nAnswer: o**(-4345\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6018 (b) 0.13 (c) 10 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5 + 13614*a**3 + 16*a + 433?\nAnswer: 40*a**3 + 81684*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -1, 53.\nAnswer: -31, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*(-28)\/(-21). Suppose -13 = -w - 4*m, 0 = 3*w + r*m - 0*m + 1. Calculate the smallest common multiple of 18 and (w\/9)\/((-2)\/60).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2 - 7*d + 2. Let k(n) = 3*n + 19*n**2 - 24*n**2 + 4 - 5. What is -4*h(o) - 9*k(o)?\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + u**3 + 2*u**3 - 4*u**3 - 9*u + 9*u + (-u**2 - u**2 + 0*u**2)*(2*u - 4 + 4).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 245, 5077 in increasing order.\nAnswer: -2, 2, 245, 5077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30 + -31)*1*59. Let h = o - -61. Suppose h*y - f + 0*f = -12, 4*y + 5*f = 4. Which is bigger: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 1 - 1 + 1086*r**2 - 2062*r**2 - 2277*r**2 + (5*r - 2*r + 2*r)*(2*r - 2*r - r).\nAnswer: -3257*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:53 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6396*q - 3294*q - 3245*q)*(-3 - 1 + 0) as v*q + j and give v.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2023*u**2 - 39333*u wrt u?\nAnswer: -4046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 2, a: 1, j: 1, m: 4}. What is prob of sequence mjai?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773101 to the power of 1\/2, to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1965*w**3 - 1716*w**3 + 4112*w**3.\nAnswer: 4361*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-4)*((-9)\/(-18))\/((-24)\/64).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265367 is divided by 288?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/30*130\/(-364). Which is the nearest to 41? (a) i (b) -0.1 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 0*m + (2 - 2*m - 2)*(1 + 1 - 3))*(-3 + 2 + 3)*(6 - 2 - 1).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 5*b = -190, -5*b + 215 = 5*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:16 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 31 = 2*y + 16, 0 = -y + 2*r - 19. Let h = -29 - y. Let b = h + 10. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**5 + 38772*p**4\/7 + 127816*p**3\/7 - 166560*p**2\/7 = 0.\nAnswer: -30\/7, 0, 1, 1388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/3 + 2640460*j**2 - 5280922*j + 7921384\/3 = 0 for j.\nAnswer: -3960692, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.41 and 5.\nAnswer: 1.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2*2\/(-6)). Sort c, -2, -5 in decreasing order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265*y**5 + 2*y**3 + 596*y**2?\nAnswer: 15900*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + (20 - 101 - -125)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 - -14.76.\nAnswer: -17.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558215 less than -0.5?\nAnswer: -1558215.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycc when three letters picked without replacement from {c: 3, y: 4, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, -0.3, -1, 1.\nAnswer: -1, -0.41, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -51440*o - 977370. Give h(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 503 or 504?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2108076*b**3 - 79 + 79 - 2108073*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 17. Suppose -24 = -2*v + 6. Let i be w(v). Solve i*r - 11 = -0*y - y, 5*y = -5*r + 30 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 69. Let z = 850 - 912. Let m = z - y. Are -0.1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l + l - 2*l to s*l + v and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20b (base 12) to base 15\nAnswer: 14e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let m(h) = -29*h - 4. Let j(k) = 29*k + 3. Let g(a) = -4*j(a) - 3*m(a). What is d(g(u))?\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5052888 and 22922?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.150605 rounded to 1 decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 479215 take away 48.5?\nAnswer: 479166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94323.16496 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yugy when four letters picked without replacement from {v: 2, g: 4, y: 2, u: 1, l: 1}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by 70.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 4*f**2 - 4*f + 4. Let v(a) = 2*a**3 + 3*a**2 - 4*a + 3. Calculate -3*n(h) + 4*v(h).\nAnswer: 2*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.95 + 0.1. Let p = i + 0.45. Let s be (-4)\/(-4)*-1 - 0. What is the closest to s in 5, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6984 and -91\/185270.\nAnswer: 6669720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b - 113 = 0, 2*p - 199 = b + 26. Suppose -39*h + 18*h + 210 = 0. Calculate the least common multiple of h and p.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 236?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*sqrt(252)*1 - (-2 + sqrt(175)*1 + sqrt(7) + sqrt(21)\/sqrt(3)*-5).\nAnswer: -37*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from aaeeytahhapy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from tfotttfffototffff.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318195129.\nAnswer: 3, 7, 31, 488779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37740529 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -e7?\nAnswer: -e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 11*o + 4. Let h(d) = -d**3 + 5*d**2 + 8*d - 5. Let q be h(6). What are the prime factors of k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 39 - 42)*(0*z - 2*z + 3*z)*(29 - 154 - 26) to the form a*z + h and give a.\nAnswer: 10419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 + 384215*j**3\/6 + 6530499*j**2 + 666071594*j\/3 + 7548588676\/3.\nAnswer: (j + 34)**3*(j + 384113)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 7*g - 11*g)*(26*g**3 - 55*g**3 + 27*g**3 + g**2).\nAnswer: 32*g**4 - 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*z - 34*l + 39*l, 0 = l - 3. Solve -7*f - 25 = -z*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5198513.\nAnswer: 2\/5198513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 238063 equal to 238064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(2*6\/(-8)). Suppose -d + 3 = -2*m, -6*d = -4*d - q. Let l(t) = -36*t**3 - t**2 + 1. Let w be l(m). What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5 + (-4 + 1 + 4)*(1 + 5 - 5) + 4 - 5 + 0 + 1783 - 555 - 868 - 2 - 2 + 2)*(2*q + 3*q - q) to the form f*q + n and give f.\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 49.9.\nAnswer: 19.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66850)\/(-764)*(14*19 - 0) a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 0*l**2 + 23*l - 23*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 14*z - 12. Let l(p) = 9*p**2 - 39*p - 36. What is -17*a(r) + 6*l(r)?\nAnswer: 3*r**2 + 4*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*j - 4 = 0, -3*j - 3 = -15. Suppose 0 = -5*u - p - 8. Let c = -6 - -5.8. Sort 2, u, c in decreasing order.\nAnswer: 2, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 - 7*p - 8. Let n be (-768)\/(-42) - (-6)\/(-21). Let j(o) = 60 - 3*o + n*o - 9*o**3 + 84 - 127. Give 13*a(u) + 6*j(u).\nAnswer: -2*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2792*z - 1100*z**2 + 2221*z**2 - 1123*z**2 = 0.\nAnswer: -1396, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 37, 54?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -3*j. Let z = 4 + j. Let w(u) = -1 + 3 - u**3 - 4 + u**2. What is w(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 8) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v + 4*v**2 + 0*v**2 + 23*v + 14 - 38*v. Give q(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -90569976*a - 48. Let h be b(2). What is h rounded to the nearest one million?\nAnswer: -181000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 y when three letters picked without replacement from {u: 2, v: 4, y: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3776 and 57230.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82426, 82488, 82556, 82630, 82710, 82796?\n\"Answer: 3*h**2 + 53*h + 82370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 497563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72.2 + 67.2. Put -6, q, -0.38 in ascending order.\nAnswer: -6, q, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/32*-8*7\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 + -122. Let d = c - 60. What is the nearest to 0.1 in 0.18, d, -4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19339.23 in -4\/5, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44, 2, 3, -99, -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*p + 5*w + 11, 0 = -p + 3*w + 8. Let h = p - 3. What are the prime factors of 280\/36 + h\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 200*s + 0 - 198*s - 2 + (-2 + 0 + 0)*(3*s - s + 0*s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 145260 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(-2*sqrt(117) - sqrt(117)) + sqrt(117) + 4*(sqrt(117) - sqrt(117)*-2))\/(sqrt(1089)*-1*-2))**2.\nAnswer: -40625\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -3*a + 404. Suppose 5*i = -a*h + 30935, -4*i - 4*h + 24754 = -2*h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 114. Let f = 0 + 27. Let y = -5 + f. What is the remainder when x is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Let l be (t\/6)\/(7\/42). Let g = 20 - 17. Solve l*n - 6*n = -y + 17, y + n = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 <= 163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2607 divided by -6483.\nAnswer: 869\/2161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191513222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*l + 2*m - 8, -4*l + 23 = 5*m. Suppose -172 = -l*f + 6. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903392 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1911*c - 2977*c - 5440*c.\nAnswer: -6506*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 divided by 3.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12075)\/105 + 862893\/7504.\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736048 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60968*h**3*l**2 - 15*h**3 - l**5 + 14*l wrt l.\nAnswer: 121936*h**3 - 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4231 + -330331?\nAnswer: -321100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1484\/1113*2*1\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 4*b**2 + 12*b + 6. Does 6 divide y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2337.00001301 + 2337. What is x rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c. Let a(z) = -5*z**2 + 94*z + 1. Determine v(a(x)).\nAnswer: 15*x**2 - 282*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1)*1 - 1. Suppose -5*p + 414 = -p + n*m, -517 = -5*p - 3*m. Suppose 3*u + 2*z = 55 + 207, p = u + 4*z. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-921185732)\/12 + 2\/3. Let n = -211105068621\/2750 - r. Let j = n + 68\/125. What is the common denominator of -61\/18 and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 6*y**3 - 7*y**3 + 16*y**3 + 10*y.\nAnswer: 4*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 501, -25, -3 in decreasing order.\nAnswer: 501, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drdd when four letters picked without replacement from rddrdddddr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32204145 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - j**2 + j + 2. Let k be q(2). Let z be 5*(0 - k\/20). Let m be z - (-1 + -1)\/(-1). Solve -m*i - 28 = 3*v - 7*v, -4*v + 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/34 in -0.0383, 46, -1, 0.5?\nAnswer: -0.0383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1482.6 + -26\nAnswer: 1456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6) - 1)\/((-2)\/6). Let b(r) = 10*r**3 - 2*r**2 + 4*r - 2. Is b(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(34)*-5 - sqrt(34)))\/(sqrt(2) - (-5*sqrt(22) - sqrt(22) - sqrt(22))\/sqrt(11))*-3)**2.\nAnswer: 12393\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, g: 12, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 1. Suppose 3*y - 3 = 36. Let n = y - 15. What is the units digit of b(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204504552 (base 6) in base 12?\nAnswer: -124b158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3762, 7526, 11290?\n\"Answer: 3764*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*q - 14, 10 = y - 4*q - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12427*h + 12430*h - 78 + 21. Let t(f) = f**2 - 17*f - 55. Give t(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 + -1.1. Round q to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3831*u**3 - 8*u**2 + 4*u + 4. Let y(s) = 7664*s**3 + 18*s**2 - 9*s - 9. Calculate 9*j(x) + 4*y(x).\nAnswer: -3823*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 57*h**3 + 5*h**2. Let j(m) = 86*m**3 + 7*m**2. Give -5*j(g) + 7*w(g).\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 - 346.6. What is the smallest value in y, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -243.23 + 243. Which is greater: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-1)*12\/(-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58821*a*n*y**3 + 976*a*y**3 - a*y**2 - y**2 + 4*y wrt n?\nAnswer: -58821*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 5820 = 7*h. What are the prime factors of h?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**18)\/((m**(2\/49)*m)\/m))\/(m*m**11)**(-4\/11))**(4\/19) assuming m is positive.\nAnswer: m**(-27332\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11121394, -22242786, -33364178, -44485570, -55606962?\n\"Answer: -11121392*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.68 + -0.68. Let r = -44 - -21.4. Let t = g + r. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 21 = 2*x - 7*x, 3*x = 2*a - 13. Let y be (-1)\/(-3) + 20780\/90. Let g = y - 231. Is g >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:24 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 9:55 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:21 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -11. Suppose 0*q + 45 = -3*q. Let a = b - q. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 4. Let w = 11 - x. Find the second derivative of -3*t - 7*t**3 + 3*t**2 + 3*t**3 - w*t**2 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*48\/(-100) + 16\/(-40). Suppose -p - z*p = -3, 12 = 3*b + 3*p. Find g, given that 4\/3*g**b + 0*g + 0 + 4\/3*g**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 4}. What is prob of sequence anaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 4 + 4 + 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-130)\/(-50) - (18\/(-15))\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -920*c*k - 1863*c - k with respect to k.\nAnswer: -920*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -81, 2 in descending order.\nAnswer: 2, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 - 6*x + 5. Let o(i) = -i**2 + 7*i + 3. Let u be o(8). Is m(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t**2 + 6. Let x(u) = 2*u**2 + 1. Let g be (-136)\/(-24) - 2\/(-6). Let n(m) = g*j(m) - 33*x(m). Differentiate n(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c. Let b be t(6). Suppose 5*l = 2*l + b. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-14)\/(-8) - 2). Suppose -52*g = -56*g - 4*x + 132, 3*g + 4*x = 100. Calculate the greatest common divisor of q and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 685*u + 117268. What is l(334)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1052880893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.6 (b) 4\/7 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2 - 2)*(1 + 0 + 0)*(2 - 2 + a)*(-126841 + 126841 - 9260*a**3).\nAnswer: 9260*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y\/y**(-4\/3))*y)\/y)*(y\/y**(2\/11))\/y*y)\/(((y*y**0*y)\/y)\/y**(-2)) assuming y is positive.\nAnswer: y**(5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -406045 (base 9) to base 5\nAnswer: -30144421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 762.167t?\nAnswer: 762167000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 81, 137, 237, 393, 617, 921?\n\"Answer: 2*y**3 + 4*y**2 - 2*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65501 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7613860, 7613863, 7613860, 7613845, 7613812, 7613755?\nAnswer: 7613668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**7)*l**(1\/7)*l**2\/(l**6\/l*l) assuming l is positive.\nAnswer: l**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -79, -52, -25, 2, 29?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-120)\/9*-3 + -3. Let b = x + 8. Calculate the highest common divisor of 180 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(3\/6 + -2). Let t = f + 2. Suppose t = -w - w. Solve w = -3*h - 10 + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h + 324. Let s be h\/(-45) - 4\/10. Solve -s*r - 1 = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:41 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 74 = -5*m. Let k = m - 40. Suppose k = s + 5*q, 0 = -2*s + 7*s - 5*q - 20. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + 5*v + 7. Let z = 30 - 24. What is q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 847332191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 2. Let t be v(3). Suppose 12*j = 4*j + t. Suppose 2*w - 14 = -j. Solve 0 = w*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 17*k + 2*w, k - w = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 85 in increasing order.\nAnswer: -3, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 162*h**2 - 112*h + 334. Let f be n(3). Calculate the highest common factor of f and 819.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 859 divide 3822312538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -254068 - -228190.8. Round c to the nearest one hundred.\nAnswer: -25900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215296732 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.92468g in milligrams?\nAnswer: 90924.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294480*o*u**3 - 91811*o*u**2 - 2*o*u - 16*u**3 - 14 wrt u.\nAnswer: -1766880*o - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (sqrt(2736)*2)**2*-3.\nAnswer: 12*sqrt(19) + 32832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -43*c - 22*c - 4*c**2 + 6*c**2 - 63*c - 67*c. Let k(a) = 9*a**2. Determine z(k(o)).\nAnswer: 162*o**4 - 1755*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2289 + 2285 - 4574 + 78*u + 74*u.\nAnswer: 152*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57998 + 4?\nAnswer: -57994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 7 - 3 = 0. Let s = 12.9 + -13. What is the third biggest value in s, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 48. Which is the biggest value? (a) 2\/3 (b) 4 (c) l (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 11*v + 13. Let x be h(10). Let c = 5 - x. Solve o = c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*(sqrt(66) + (sqrt(66) - (sqrt(66) - -2*sqrt(66))) - sqrt(66)) + sqrt(66) - sqrt(66))\/(1*sqrt(6)*3 - sqrt(6)) + -1).\nAnswer: 4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -6) + (-2 - (0 + 2)). What is the remainder when d*7\/((-28)\/222) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20112 + 2311131?\nAnswer: 2241014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 9*v**2 + 8*v - 3. Let y be i(-8). Let t(c) = c**3 + 3*c**2 - c + 4. Let o be t(y). Differentiate -x + o*x**3 - 11 + 3 + x wrt x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(-1\/51))**(-2\/9) assuming q is positive.\nAnswer: q**(-1\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.8, -3, -20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6363 is divided by 213?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*l + 11 - 2, -12 = 5*w - 3*l. Let v be (27\/w)\/3 + 1 + 1. Let r(u) = 3*u**2 + 3*u**2 - 5*u**2. Determine r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 576\/43 + -22051\/1720. Find the common denominator of (-75)\/(-225)*348\/(-10) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 528616.3 micrometers?\nAnswer: 52.86163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p**4 + 0*p**3 + p**2 + 0*p + 0 + 1\/30*p**5. Let a(m) be the second derivative of -m**4\/3 - 139*m. What is a(z(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 150 = -14*f. Suppose 75*j - 78*j = -f. Solve 2 = -4*h - 5*m + 3, j*h + 9 = 4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3463\/258 - -75\/43. Calculate the common denominator of l and 59\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628023, 1256046, 1884069, 2512092?\nAnswer: 3140115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3048*x**2. Let p be k(-1). Let v be (3\/9)\/(4\/p). What is the third derivative of v + 6*d**2 - 5*d**6 - 254 wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*h = 40, -5*y = 87*h - 83*h - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -14.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31136713, -62273420, -93410127, -124546834, -155683541, -186820248?\nAnswer: -217956955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*v + 1242 = 14490 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45, -2, -23, -257, 8 in descending order.\nAnswer: 45, 8, 5, -2, -23, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1309*m. Let a be n(1). Let x be 3\/6 + 21\/6. Suppose x*i = -a - 2451. What is i rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -24*p**5 - 36092*p**4 - 13744732*p**3 - 131588252*p**2 + 38362932*p + 156242520 = 0.\nAnswer: -747, -10, -1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - w + 9*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + 0)\/(2\/(-26)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 14405*v + 5 + 14402*v + 2*v**3 + 0 to x*v**3 + c + w*v + u*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-1*(-3 - -4)). Let m = k + 42. Let d = m + -19. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1 - 100*o**2 + 99*o**2 + 5*o**3 + 1. What is the remainder when 8 is divided by g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 22. What is y(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(-60)\/45. Suppose 0 = -3*c - 4*s - 5, 5*s + 7 + 33 = 3*c. Solve -3*i = -c + b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3455512 + -53?\nAnswer: 3455415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(45) + sqrt(30)\/(sqrt(18)\/sqrt(3) + sqrt(6)))*6.\nAnswer: -30 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 0. Suppose 4*h - 2*h + 282 = -2*i, -2*h - 276 = -4*i. Let a be (-8)\/(-10) + 1\/(h\/7). What is the closest to -2 in s, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 - 1.13. Is 2\/45 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.6 + -15. Let c(w) = w**3 + 8*w**2 + 21*w + 25. Let d be c(-5). What is the nearest to d in -4, 0, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-4)*276\/805?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**2 + 5*j**3 + 5*j**2)*(-9*j - 104 + 104) as h + a*j**2 + o*j**3 + z*j + u*j**4 and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.5, 0.4, -2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(52) + 0 + sqrt(52) + 4 - ((0 + sqrt(26)\/sqrt(2))**2 + (sqrt(1300) - (2*sqrt(1300))**2) + 5).\nAnswer: -6*sqrt(13) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3808 - 3830. Does -618\/29 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t\/((t*t**(-3\/4))\/t)*t*t))**15*t*(t\/(t\/(t*t**(-5))))\/t*t*t**9)**(-42))**39 assuming t is positive.\nAnswer: t**(213759\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:01 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -289402 plus 3768384308?\nAnswer: 3768094906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*v, 0 = 3*n - 7*v + 3*v + 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -391 + 67. Let m = z + 709. Let b = 384.9999689 - m. What is b rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1110 + 1134 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r - 63*r = -2480. What is the tens digit of (1*2\/5)\/(2\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 630611046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -220*c + 7. Give p(1).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 - -4. Let x = 0.5 + a. Let o = x + -2.000075. Round o to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w. Let b(d) be the third derivative of -2*d**2 - 3\/160*d**6 + 1\/3*d**3 - 7\/24*d**4 + 1\/8*d**5 + 0*d + w. Determine r, given that b(r) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k**2 + 4*k - 29. What is p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-3\/22)*g**(-1\/9)\/(g\/(g*g*g**(-1\/4))) assuming g is positive.\nAnswer: g**(307\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106685*g + 2213029*g - 1106574*g.\nAnswer: -230*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22640 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 471554.58 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -36 (c) -13 (d) -21 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6.75, -3\/4, 3, -1\/3 in descending order.\nAnswer: 3, -1\/3, -3\/4, -4, -6.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 + 34 = 6*a. Let o(u) = u**2 + 2*u + 3. Calculate the remainder when a is divided by o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49164166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**3 - 2*q**3 + 3*q**3 + (-q + q - q)*(1 - 1 - 2*q**2) - 32051*q**3 + 1 + 2*q + 32057*q**3 + 255*q**2 - 1 to j + i*q + a*q**3 + x*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 71*v + 48 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5)*t)\/t**11)\/(t**14*t*t**(1\/8)*t) assuming t is positive.\nAnswer: t**(-1053\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -1745 (c) -5 (d) 0.2 (e) 361 (f) 0.3 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(1\/4)\/((k\/(k\/k**(-2\/7)*k)*k)\/((k*k**(1\/3)\/k*k)\/k*k)) assuming k is positive.\nAnswer: k**(251\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*g - 19 = -2*p + 1008*g, 0 = 188*p - g - 1321 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -304112*h - 2128779. What is q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 56031035?\nAnswer: 56031036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*y - 10 + 42, -5*y = -5*r - 65. Let n(c) = -c**2 + 11*c + 14. Determine n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*z + 13*z - 21*z)*((7*z + 4*z - 4*z)*(3 - 1 + 2) + (-1 + 2 - 2)*(-z + 2 - 2)) + 3*z - 3*z - 3*z**2 as u*z + y*z**2 + x and give y.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w**3 - 6*w**2 + 9*w - 4. Let a(d) = 15*d**3 - 5*d**2 + 7*d - 3. Determine -4*a(h) + 3*c(h).\nAnswer: -12*h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(117) + sqrt(117) + 0 + sqrt(117)) + (-3*sqrt(117)*1 - sqrt(117)))**2*-1*-3 + 5 + -3.\nAnswer: 17201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 29, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239 - -242. Let p(b) be the second derivative of b - 1\/10*b**6 + 0*b**s + 0*b**2 + 0 + 9\/20*b**5 - 1\/2*b**4. Let p(d) = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/((-36)\/(-40))*24*399875\/14. What is h rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = 3*h, -5*t + 2*h + 32 = h. Let x(i) = 41*i + 7. Is x(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from xjxgnaxajxggeggjaj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 127, 233, 367, 529, 719, 937?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1319968180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 9. Let j be q(7). Let o be 3328\/(-192) - (0 + -17). What is the smallest value in -4, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -15, -32, -53?\n\"Answer: -2*f**2 - 7*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4277 - 6e?\nAnswer: -42e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 798 * -6711\nAnswer: -5355378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 9 + -4 - 1. Let d = h + 1. Calculate the smallest common multiple of d and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-243940)\/14350 - (-238)\/14. Is k equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(1\/5)*f)\/f))\/f)**43\/(f\/(f\/((f\/(f*f**(-1)*f*f))\/f))*(f*f**(1\/5))\/f) assuming f is positive.\nAnswer: f**(-163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 87?\nAnswer: 7\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -86. Let h be -9 + 8 + (27 - o). What is the second derivative of -75 + 75 + 13*q - h*q**4 wrt q?\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3492 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 3*u**3 + 4*u - 172*u**2 + 174*u**2 to o + n*u**2 + v*u**3 + x*u and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(-3)*(-2358)\/(-783 + 390).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -128, -240, -370, -506, -636, -748?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)\/k)\/k)**(-2\/11)\/(k\/(k*k**(2\/7)))**(-1\/47))\/(k**(4\/5)\/k**(-8))**10 assuming k is positive.\nAnswer: k**(-315862\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16525*o**4 - o**2 - 5925*o.\nAnswer: -396600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzvzzvyayza. What is prob of picking 2 a, 1 z, and 1 v?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4108, 4179, 4202, 4171, 4080, 3923, 3694?\nAnswer: 3387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)\/sqrt(3)*5)\/((sqrt(96)*2)\/sqrt(12)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -341.47 times 52\nAnswer: -17756.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*-3 + (sqrt(65)*-1 - sqrt(65))*5)\/(sqrt(5) + sqrt(30)\/(1*sqrt(6)) - sqrt(5)*1*-2).\nAnswer: -13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -164755, -329512, -494279, -659056, -823843, -988640?\n\"Answer: -5*w**2 - 164742*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.1, 52, 5, 0.6, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2 - 3. Let a(s) = 8*s**2 - 2. Let u(q) = 4*a(q) - 3*n(q). Let w be u(1). Suppose r = 3*x + w + 4, 5*r = 4*x + 17. Solve -r = v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(((-120)\/9)\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*n**4 - 56*n**4 - 1181*n**2 - 3*n + n**4 + 19*n**4 + 17*n**4 in the form x*n**3 + g + d*n**4 + s*n + u*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 7. Suppose -4*v + 60 = 4*o, -o + 4*v + 13 = -17. Calculate the greatest common divisor of q and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (15 - (2 + 0 + (14 - 1)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -7, -5, -4, -11, 5.\nAnswer: -12, -11, -7, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.43 times 0.9?\nAnswer: -24.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v**3 - 6*v**4 + 19*v**3 + (-3*v + 3*v**2 + 3*v)*(-5*v**2 + 5*v**2 + 3*v**2) as h*v + d*v**4 + u*v**2 + t*v**3 + g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-147*a - 77*a - 607*a)*(6 + 0 - 5)*(1 - 1 - 3*a) to v*a + k + z*a**2 and give z.\nAnswer: 2493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 159887\/4374?\nAnswer: 159887\/4374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 183f0c5 - -4?\nAnswer: 183f0c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**6 - 13*z**3 + 319*z**2?\nAnswer: 2400*z**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (630\/(-154))\/9*-22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 1. Let t be 11\/((-44)\/(-24)) - 0. Let s(n) = -3*n - 10. Let z(h) = -2*h - 11. Let c(g) = t*s(g) - 5*z(g). Give 6*a(l) + c(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(360))\/sqrt(6))\/(sqrt(12) + sqrt(108)\/sqrt(9)*-5 - sqrt(12)))**2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from vvvjg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-37)\/1036).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03525 - 0.06475. Which is the fourth smallest value? (a) 1\/3 (b) 9 (c) 5.2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*t = p - 54, -5*p - 34*t + 14*t - 720 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 0*g + 1 + 2*g - 1 + (0 - 5 + 0)*(2 - 2 + 2*g) - 3*g - 2*g + 6*g)*(4*g**2 + 3*g**3 - 4*g**2).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z)*(22*z**4 + 8*z**4 - 3*z**4).\nAnswer: -54*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1165155548 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (9 + -5 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-12\/7)*g*g)\/g)\/g**(-2\/5))\/(g**(3\/4)\/(g*g**(-2\/33)*g)) assuming g is positive.\nAnswer: g**(13283\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 2 = -2*n. Suppose 2*m - 12*m = -n. Solve 0 = -5*p - 2*x - 2 + m, 0 = 4*p - 5*x + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 5. Let s be m(-3). Let j be 5 - s\/16*-4. What is the second derivative of -2 - 3*i**j - 1 - 2*i + 3 wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -274 and 134930.4.\nAnswer: 134656.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -899735.2 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2)*135715)\/((-184)\/(-32) + -6). What is y rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 2\/1 - -1. Let z be 2 + v - 9\/11. Suppose 4*u = -4*y - 3 - 1, -4*y - 11 = -3*u. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1465513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 3*h - 4. Let d be -2*(-3 + 1 + 1). Suppose 5*v = d*v + 9. What is the tens digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9567?\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c, -5*u + 5*c = 3*c - 160. Suppose 12 = 4*s + u. Let r = 16 + s. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108652535.\nAnswer: 5, 37, 89, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319663 (base 10) to base 12.\nAnswer: 134ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:59 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(45) + 0) + (1*sqrt(450))\/sqrt(10)) + ((2*sqrt(135) + sqrt(135))*1)\/(sqrt(9)\/(sqrt(3) + sqrt(6)\/sqrt(2)) - sqrt(3)))**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 17 + 77 = 3*s, -2*u = 4*s - 38. Let o = -14 + u. Let t(r) = 2*r**2 + 5*r + 1. Let a(f) = f**2 + 2*f. Let q(p) = 7*a(p) - 4*t(p). Determine q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -58*w**2 + 1\/4*w**5 + 113\/6*w**3 + 0 + 0*w + 0*w**4. What is the derivative of m(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 800, -3243, -0.2 in descending order.\nAnswer: 800, -0.2, -3243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/9 and 103\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77186 is divided by 8466?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = -2*b. Let j = b - 3. What is the common denominator of -31\/20 and (-34)\/12*j + 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*i = -6, -4*j - 19*i + 4 = -21*i. Solve 0*s + 6*s - 6 = j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + h = 33, 4*j + 5*h + 9 = -0. What is the units digit of (j\/8)\/(2\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/(f**(-2\/13)*f))**(2\/59) assuming f is positive.\nAnswer: f**(-206\/5369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -217 and 2237?\nAnswer: -485429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 2}. Give prob of sequence ooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (130\/15)\/(300\/(-900))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 277658, 277200, 276730, 276248, 275754, 275248, 274730?\n\"Answer: -6*x**2 - 440*x + 278104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50924.00041738 - 50924. What is x rounded to 6 decimal places?\nAnswer: 0.000417","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -4*r - 23, -2*m + r = -14. What is the least common multiple of 62 and m?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**6\/40 + c**5\/60 - 3*c**2\/2 - 1. Let z(t) be the second derivative of m(t). Find the third derivative of z(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1124\/(-281)*(-2)\/92.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 8*k. Let y be j(8). Suppose 8*v - 746 + 50 = y. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c**3 + 18*c**2 + 9*c - 10. Let x be p(2). Solve x = f - 4*y + 18, 3*f - 34*y + 36*y = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 33*r**3 + 11*r**2 - 2*r + 2. Let m(w) = -w**3 - w**2 - w + 1. Let t(j) = -2*m(j) + v(j). Find the third derivative of t(h) wrt h.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754*v - 9*v**2 + 143*v - 1188*v + 148*v + 143*v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(3\/(-4)). Let c(o) = 40*o - 3. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 - z + 3. Let t be h(3). Let p(l) = l + 5. Let w be p(t). Suppose -w*f + 163 = 5*y - 342, f = 2. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 3*h - 15. Let v be s(5). Which is the nearest to -0.1? (a) v (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2671 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 4, p: 2, z: 1, d: 3}. What is prob of picking 2 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p + 2. Let t(j) = -2*j + 0*j - 341 + 341. Give o(t(l)).\nAnswer: -34*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4081?\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 12. Determine t(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 14, 33, 60, 95, 138, 189?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + (-9 - 3) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2195 + 5712. Suppose 2*f - m = s, 0 = 12*f - 11*f + 5*s - 1786. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by 5183.\nAnswer: 179\/5183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 41*x - 4. Let n(m) = 4633*m - 451. Let d(p) = 451*a(p) - 4*n(p). Let b(o) = -2*o**2. Give b(d(r)).\nAnswer: -3362*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15597 divided by -1733.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 66216 - 66216.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 390.\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 73\/3 (c) -3\/4 (d) -0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 29*n + 64*n - 35*n + 2*n**3 - 21*n**2 to p*n**3 + o*n**2 + q + w*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19240, -38482, -57724, -76966, -96208, -115450?\nAnswer: -134692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 106 + 114 = -5*q, -184 = 3*u - q. Let g be (-1)\/(-2) - (-18)\/u. Put 0.3, g, 0 in decreasing order.\nAnswer: 0.3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 2*l + 5. Let z be g(2). Suppose 4*d - 24 = -5*b, z*b = -d - 0*d + 6. Let j(y) = -2*y + 3 - 6*y**2 - 4*y**3 + 5*y**3 + 3. What is j(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 - 1. Let t(v) = -10*v**3 + 9*v**2 - 9. Let u(x) = 2*x - 18. Let k be u(0). Give k*p(l) + 2*t(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, t: 2}. Give prob of sequence aata.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96543602?\nAnswer: 2, 41, 61, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Suppose x*d + 40 = 4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306995519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(126)\/sqrt(6) - sqrt(21) - sqrt(21))\/(sqrt(252)\/sqrt(4)) + 0.\nAnswer: -4*sqrt(3)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 2722 - 2657 - 2619 + 7998.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506314933 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3294950955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 9)\/(1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(30\/(-12) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*o - 66*o - 17 + 17 to x + f*o and give f.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 63.9. Let r = m + -0.9. Let u = -2.7 + 3. What is the closest to -2 in -3, u, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*l - 2*l**3 - 7717*l**2 + 3183*l**2 - 140*l.\nAnswer: -2*l**3 - 4534*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.178*1459.38.\nAnswer: -259.76964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -617 + 834. Let 6627 - p*i + 1332*i**2 - 65*i - 1329*i**2 = 0. What is i?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -22. Let i = 80 - p. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/2*252\/(-30) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 23. Suppose z*q - 16 = 5*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**6 + 14*f**5 + 39*f**3 - 2079*f**2 wrt f.\nAnswer: 1200*f**3 + 840*f**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - 174\/(-15))*(0 - -725)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1744445*h**2 + h - 2. Let z = -58 + 61. Let m be 18\/(-12) + z\/(-2). Let t be d(m). Round t to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 23465*c - 467300 = 0. What is c?\nAnswer: 20, 4673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494955 minus -19077789?\nAnswer: 20572744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 2*h**2 - h**2 - 12 - 2*h**2. Let y(t) = 9*t. Calculate w(y(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 15*f**2 + 22*f - 7. Suppose 169 = -10*u + 259. What is the tens digit of j(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 3. Let o = -6 + 16. Suppose s = x - 3 + 5, -s + o = 3*x. Let j(f) = f + 3. Suppose -87 = -1346*v + 1375*v. What is v*j(r) + x*c(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t**2 + 29*t. Let v be -68*(-19)\/(380\/50)*(-2)\/(-10). Let k(s) be the first derivative of -4*s**3\/3 + 5*s**2\/2 + 1. Give v*k(z) - 6*n(z).\nAnswer: 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51570 = 45*a - 193095. What are the prime factors of a?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/4)\/((-6)\/(-16))*6. Let b be 10\/k - (-5)\/(40\/316). Solve 38*y + 4 = b*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77312.64 hours to days.\nAnswer: 3221.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -16. Suppose 4*l - 85 = -l. Solve -d = -2*t + 4*x, -3*t + 2*x + l = -2*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109 - 3*n - 167 - 47*n**3 + 3*n wrt n.\nAnswer: -141*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*v + 3*a + 208, 5*a = -20. Let q = 93 + v. Let i = q - 14. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44259?\nAnswer: 3, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28489\/2 or 3.39?\nAnswer: 3.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 407, 689, 971?\n\"Answer: 282*i + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*l**2*r*t + 2*l**2*r + 3*l*r*t**2 - 80*r*t - 206 wrt t?\nAnswer: 71*l**2*r + 6*l*r*t - 80*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-3) - 2 - -1237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from svbsvbvb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 2897868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence all when three letters picked without replacement from {a: 3, j: 2, l: 15}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s - 168, 35 = n - 6*n + 5*s - 5*s - 5*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (sqrt(8) - -4*(sqrt(8) + -1))**2 - ((3 + (sqrt(128)*1 - sqrt(128)))*-6)**2.\nAnswer: -114 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -207 and -1464951.6?\nAnswer: 1464744.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = -5*o, -4*j = 3*o - 130 + 118. Let t(w) = -7*w - 26. Give t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)\/q*q)\/(q**3*q)*q\/(q\/q**(-2\/3)*q)*q**(-5))\/(q\/(q*q**(1\/15))*q\/q**(3\/7)*q**5\/q**(-1\/2)) assuming q is positive.\nAnswer: q**(-3571\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 13) + -1 + (-196 - -197)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 18.06. What is the smallest value in f, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341eb (base 15) to base 10\nAnswer: 165821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, 2, 22 in decreasing order.\nAnswer: 22, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 7:34 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/((u\/(u**(-16)*u*u))\/u*u)*(u\/(u**17*u))\/u**(-3))**(8\/7) assuming u is positive.\nAnswer: u**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179213499.\nAnswer: 3, 619, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7)*c*c)\/c)**(-2\/33)\/(c**(-4)\/c*c**(1\/2)*c) assuming c is positive.\nAnswer: c**(523\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11244 - 3849*b**2 - 11244)*(0*b + 2*b**2 + 0*b + (-2*b + b + 4*b)*(3*b - 4*b - b)).\nAnswer: 15396*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 16. What is the third derivative of k**2 + k**2 + 0*k**q - 10*k**4 + 6*k**2 wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41704883.\nAnswer: 11, 37, 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + i**4 + 2*i**4 + (261*i - 79*i - 53*i)*(-3*i**3 + 0*i**3 + 2*i**3).\nAnswer: -128*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865918 is divided by 1960?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -811481 (base 14) in base 8?\nAnswer: -20445511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-15))\/((-16)\/(-10)). Let r be (-1)\/2*(-4)\/(-22). Let w = r + -37\/77. What is the biggest value in 2, w, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {x: 2, g: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 + 99*u + 278*u**4 + 11*u - 62*u**4 + 55*u**4 + 140*u**4 wrt u?\nAnswer: 4932*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70.3 - 70.300000383. Round m to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 less than or equal to 712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 + 192 - (-8 + -6 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*g - 328, 0 = 3*v - 0*v - 4*g + 492. Let p = v + 387. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 1\/3*v**3 + 0 + 2\/3*v**2.\nAnswer: v**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5)**(3\/16)*n**11\/(n*n*n**(-4\/5)*n))**1 assuming n is positive.\nAnswer: n**(779\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 8*h + 349. Let l be c(0). Suppose 4*o = l - 209. Calculate the highest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77263728 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -55818091?\nAnswer: 55818090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2712\/3616*(6*1)\/(36\/344)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29644200 rounded to the nearest 100000?\nAnswer: 29600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19242 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 144653*r - 867862. Determine k(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42225 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787327.\nAnswer: 457, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27823 + -27820. Calculate the remainder when 31 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, -38, 2, -1\/2.\nAnswer: -38, -1\/2, -0.25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = n - 0, 0 = 4*n + 2*c - 26. Suppose 0 = -9*s + 113 + n. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/4 + 1 + 0. Let p = -5 + 8. Suppose b = y + p. Let g(m) = -2*m. Calculate g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*y - 260, -y + 2*p = -210 + 80. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 896, 25, 17, -4, 0 in descending order.\nAnswer: 896, 25, 17, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 36349*t - 1490302. Calculate n(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/217 in -2\/11, -2, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - 17?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + b = 9*f + 304, b - 124 = 2*f. Let u = f - -60. Suppose v - 5*c - 10 = u, -2*v - 4 = -0*v + 2*c. Which is smaller: v or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20749144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -82286 divided by 18?\nAnswer: -41143\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (206 - (22 + 355)) + -1 + 19 + -1?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*m = 2*z + 28, 5*m = 5*z + 5. Is -7 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909450000 rounded to the nearest 1000000?\nAnswer: -909000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((3 - 1) + -1)) + 27 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 280463489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3986 = -15*g + 799. Let s = -166 + 97. Let x be -2*(s\/6 + -3). What is the greatest common factor of x and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24632273\/(-1034))\/((-354)\/4). Let r = -26\/8319 - d. Let z = r + 269. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/((-4)\/(-176)). Calculate the smallest common multiple of 2136\/132 - (-6)\/j and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 27*p**3 - 51*p**2 - 99*p + 270.\nAnswer: -3*(p - 5)*(p - 3)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, and 1 j when three letters picked without replacement from {a: 1, y: 8, r: 1, j: 7, p: 2}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -480809099*w**4 - 3*w**2 - 272122059 wrt w?\nAnswer: -11539418376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.285802 litres?\nAnswer: 8285.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/7 + 1854*g**4\/7 + 7426*g**3\/7 + 1592*g**2 + 7431*g\/7 + 1858\/7.\nAnswer: -(g - 1858)*(g + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1422687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 8) + 12 + -12 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - p. Suppose -t = -2*j + p - 3, 2*t - 4 = -5*j. Does j = -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxx when three letters picked without replacement from jjjjjjxjxx?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uurhrrturu. Give prob of picking 1 h and 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 207 = -3*i. Let p = i + 54. Calculate the lowest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4667 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6e (base 16) in base 8?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1193523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 619.658 + -18.15.\nAnswer: 601.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/((-15)\/(-2050)))\/((-4)\/(-6)). Suppose -3*t + 53 = y, 2*y + 3*y - 5*t = r. Let p = y - 49. Put p, -3, -2, -4 in decreasing order.\nAnswer: -2, -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:02 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1034119712 <= -1034119712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/18))\/(b**(-8)*b))**(-24)\/(((b**9*b)\/b)\/((b*b**2\/b*b)\/b))**40 assuming b is positive.\nAnswer: b**(-1420\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1816, 1809, 1800, 1789?\nAnswer: 1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 + -155. Which is the biggest value? (a) s (b) -2\/5 (c) 1\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 5. Let i be (30\/(-90))\/((-62)\/12 - -5). Let v(b) be the second derivative of -1\/6*b**3 + 2*b**i - 32*b + 0. What is -4*k(y) - 5*v(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2529781532 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*d - 2, 3*d + 3*o - 21 = 6*o. Suppose d*b - 2*h - 122 = -0*b, 0 = 5*b + 4*h - 287. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 53*u**7\/840 + u**6\/240 + u**5\/120 + u**4\/4 - u**2. Let x(q) be the second derivative of r(q). Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/9*(-15)\/(-10). Let w = 10 - p. Solve n + w - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + f + f**3 + 2 - 3*f - 34*f**2 + 33*f**2 to the form j*f**3 + p*f**2 + l*f + i + t*f**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-11286) + 8\/108?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:31 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 614 divided by 677\nAnswer: 614\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**2 + 9*f - 10. Let s(k) = -8*k**2 + 10*k - 11. Let i(n) = -6*s(n) + 7*w(n). Determine i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6164061712 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 826050.8 millennia in decades?\nAnswer: 82605080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 9, 31, 71, 135, 229, 359?\n\"Answer: d**3 + 3*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283805915?\nAnswer: 3, 5, 7, 17, 42307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(143))\/sqrt(11)*6)**2*-5.\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 58750?\nAnswer: -4112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -34*p**2 - 71*p - 88. Calculate l(-6).\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1260126, -1260118, -1260098, -1260060, -1259998?\nAnswer: -1259906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -240, -5, -112.\nAnswer: -240, -112, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**5 - 6*g**4 - 3*g**3 + 3*g. Suppose -6 = -2*y - 0. Let r(o) = -3*o**5 - 6*o**4 - 3*o**3 + 2*o. Let w(z) = y*r(z) - 2*s(z). Factor w(v).\nAnswer: -3*v**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d = -147 - 213 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -55*m**3 - 2*m**2 - 1. Is w(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c**2. Let f(p) = 2*p + 20. Let n be f(11). Let h(i) = -i**2 + 83 - n - 41. Give h(k(l)).\nAnswer: -196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165.92 + 166. Are p and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 134\/(-6)*19\/38 and 75\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.7, 0.08, 6\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**3\/2 - 21*x**2 - x + 96. Determine z(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5543607*f + 168 = -5543565*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-46) - (-6975)\/6417)\/((-2)\/70)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 - 7.1. Let z = 3 - s. What is z rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 807182. Let p(h) = 4*h. What is p(c(g))?\nAnswer: -4*g**2 + 3228728","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**3 - 6*p**2 + 5. Let j(d) = 8*d**3 + 7*d**2 - 6. Calculate 5*j(y) + 6*s(y).\nAnswer: -8*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 - -362. Let n = 41 + -45.9. Let k = f - n. Is k at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**9\/20160 - m**8\/8960 - m**7\/3360 + m**6\/960 + m**4\/12 + 2*m. Let g(n) be the third derivative of z(n). Factor g(c).\nAnswer: 3*c*(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 589793.4 millennia?\nAnswer: 58979340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6743703.745005785 + 6743688.255. Let l = -15.49 - q. Round l to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1 + 10*y**2 - y + 0*y - 23*y**2 + 14*y**2. Let d = -6 + 8. Determine g(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -187.763?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -63950000 rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 181094059?\nAnswer: 181094059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:00 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -14) + -2 + 12 + -6 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 31. Suppose 0 = 2*n + 3*n + 4*s + 50, 3*s = 5*n + 50. What is the remainder when r(n) is divided by 11\/4 - (-5)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37234 = 588*b - 11362 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 5\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Let u = p + -3.0005. Round u to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 159 = -2*f + 651, -2*p = -5*f + 2025. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*c + 155*c + 246*c in the form f*c + n and give f.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 19*b - 23. Let f be j(16). Suppose 5*s = 5*y + f, -4*s - 2*y = s - 206. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.7 = -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199732 by 49933.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 6*k + 9. Let g be b(-7). Suppose g*s + 60 = 14*s. Suppose 0*r - j - 243 = -2*r, -s*r + 3*j + 609 = 0. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**3*n*t**2 - 10*h**3*t*z - 2*h**3*t - 3*h*t**2*z + 8*n*t**2*z + 2*n*t wrt t.\nAnswer: -10*h**3*n - 6*h*z + 16*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 4. Suppose b*h - 20 = 2*h + 5*u, 3*u - 28 = -5*h. Let c(a) = -a**3 + 5*a**2 - 2*a + 6. Let k be c(h). Sort -5, -2, k in increasing order.\nAnswer: -5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2167*f + 43686. Determine g(20).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-114)\/24)\/(3\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3348)\/837*(-99)\/(-3))\/(-1)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (88640\/15)\/(1\/9*3). Suppose 16*x + 1600 = j. Is x a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390006711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 18*b**3 + 24 - b**3.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 9, -3, -35, -93, -183, -311?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -892 - -895. Sort -53, 1, x.\nAnswer: -53, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2230573 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.963841 millimeters to centimeters.\nAnswer: 0.0963841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6*(b\/b**(-3))\/b*b**3*b*b**(-1\/2) assuming b is positive.\nAnswer: b**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b = -102*b + 32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 36*h - 65. Give b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*10\/(-165) - (-8)\/44.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521476.\nAnswer: 2, 130369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 32258*i**2\/3 + 45738476*i\/3 - 16588297240\/3.\nAnswer: (i - 30790)*(i - 734)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 30*x - 226. Calculate c(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1938 and ((-848)\/(-120) - 7)\/((-2128)\/7910).\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 733, 1459, 2185?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 99. Suppose f = -3*u + 49, l = 3*u + 2*u + 2*f. Is (-1 - u)*2\/(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142*h**2 + 280*h**2 + 289*h**2 + 289*h**2 + 282*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 + 29. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from hzgzhgghhghg.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -290, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155*f**4 - 100 wrt f.\nAnswer: 620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6348*o. Let p(z) = z**2. Give u(p(v)).\nAnswer: -6348*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 4*d - 1. Let z = 19 + -17. Let g(r) = 16 - 4*r - r - r**z - 17. Calculate -4*g(k) + 5*j(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -938479, -938502, -938529, -938560?\n\"Answer: -2*v**2 - 17*v - 938460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -94*s + 25925. Determine j(278).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170140 divided by 362.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312511, -1250042, -2812559, -5000032, -7812431, -11249726?\nAnswer: -15311887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, -2, -6110 in decreasing order.\nAnswer: 4, 2, -1, -2, -6110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 8 + -1 - 4) + -1 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 123.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + g + 1, 0 = -4*t - 0*t + 2*g + 14. Let o(n) = 2 - n - t. Let k(q) = 2*q + q - 5*q. Give k(o(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g + 2. Suppose 126 = 3*y + d, -g*d = -y + 69 - 17. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = -345*z + 356 + 9910 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**2 - 20*a. Let j(l) = 12*l**2 - 36*l. Let u(s) = 5*j(s) - 9*z(s). Let v(c) = -2016*c. Determine u(v(y)).\nAnswer: -12192768*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*(-4 + 289). Suppose -r = h - 6*h. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29079, -5, -2 in descending order.\nAnswer: 29079, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 6*y - 63\/2.\nAnswer: 3*(y - 7)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -121\/3. Suppose 4397 = -18*r - 3397. Let k = r - -435. What is the third biggest value in 1\/6, f, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:28 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4*i + 14 - 3*i + 13.\nAnswer: i + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*a + 13, 3*p - 50*a + 23 = -54*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/5, -80 in decreasing order.\nAnswer: -2\/5, -7, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196687 + 398948. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79424 and 151694?\nAnswer: 82521536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7424414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 235044527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 163. Let d(o) = -381. Let y(w) = 830. Let x(z) = -11*d(z) - 5*y(z). Determine 2*s(h) + 9*x(h).\nAnswer: -2*h + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m, -m + 6*m - 30 = -3*l. What is the remainder when 17 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saaajjajjjj. Give prob of picking 3 j and 1 a.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 44 = -16. Let p = 396 + -396. Solve p*m - 3*m = -s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10838907)\/98715)\/(18\/10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(-6))\/(9\/29214) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 536 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) - (3 + -4). Let b(l) = -l**2 - 8*l + 2. Let c = 19 + -27. Let o be b(c). Solve 0 = -3*m - k*d, -3*m - 5*d = -o*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:51 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 615930 to the nearest 10000.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -1, -5, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*r**3 + 63706*r**3 + 34261*r**3 - 12743*r**3.\nAnswer: 84534*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v - 4680 = -5186 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 17046300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234409 and 553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 7, 0.3, -2\/3, -5453?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 2*o - 19, -o = k - 1. Suppose 7*v - 2*v = -2*b - 2, 0 = -5*b + v + 49. What is the smallest common multiple of k and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 2 + 4*s + s - 5. Let r be d(7). Which is greater: -16 or r?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*z**2 + 71*z**2 + 1.\nAnswer: 71*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390 + 559. Let g = x - 101. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 2. Let r be o(-1). Let u be 2\/r + (-99)\/(-27). Solve 0*g + u = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = -t - 2*j, 5*j + 17 = 2*t. Find the common denominator of (0 + t*-7)\/16 and 81\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + (-47 - -25)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c**2 + 6*c. Let x(j) = -7*j**2 - 3*j. Let k = 6 - 2. Let t(i) = k*h(i) + 9*x(i). What is the second derivative of t(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.5 (b) 2\/15 (c) -55 (d) -0.65 (e) -58 (f) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 4*n**5\/5 - 20*n**4 + 88*n**3\/3 + 1560*n**2 + 6084*n + 22. Factor c(z).\nAnswer: 4*(z - 13)**2*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-2))\/(8\/((-88)\/(-11))). Let q(g) = -2*g + 1. Calculate the lowest common multiple of (-23)\/138 + 122\/12 + v and q(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 13*g + 44. What is m(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 4*c**2 - 3*c - 2. Let m be h(-2). Let r be 1 + -9 + m - 2*-1. What is the remainder when (-11 + 6)*5*r is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 20*a - 10. Suppose a = -12*c - 46. Put 1, c, 2, 3 in ascending order.\nAnswer: c, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 0*i**2 + 532*i**3 + 527*i**3 - 1579*i**3 + 519*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2021030323030?\nAnswer: 2021030323020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 9 = -4*f. Let d = 8.1 + -6.1. Which is the second smallest value? (a) -3 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b**3 + 2*b**4 + 9*b**3 - 2*b**2 + b**3 + 2 - 2*b as j*b**3 + l*b**4 + u + z*b**2 + d*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -238, -551, -1010, -1627, -2414?\nAnswer: -3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 - 102*b**3 + 108*b**3 - 20*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.11593 milligrams in micrograms?\nAnswer: 40115.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 62 - 26 + 10*i - 8*i + 28.\nAnswer: 2*i - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4208*x**2 - 4193*x**2 + 8562*x**2. Let f(w) = -9*w. Give n(f(s)).\nAnswer: 13041*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*f - 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.07, -23, 114, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = u, -u + 14 = u + 2*g. Suppose 9*x - 25 = -7. Factor 3*a**x + 7*a - 1 - u*a + a.\nAnswer: (a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 433125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f + 4*z - 141 + 114, -2*f + 3*z = -5*f - 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -348.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-7)\/(14\/4). Let p be (-30)\/4 + (-1)\/l. What are the prime factors of -3*(p\/2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 - -106. Let d(m) = 2*m**3 - m**2 - m + 1. Let t be d(1). Let p = 1 + t. Solve 0 = p*w + y + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {w: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1898306 rounded to four decimal places?\nAnswer: 0.1898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 15 + 30 = 0. Suppose -3*r = -4*b - 159, -5*r - 258 + 68 = a*b. Calculate the remainder when b\/(-7) + (-28)\/49 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*2\/(-56) + (-24)\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.06252 decades to centuries.\nAnswer: 2.006252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*c - 27285, -5*c + 33317 - 6022 = -5*s. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/9)\/(6\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -31*d - 472. Calculate h(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12645739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7. Let x = f - -4. Let d = -6.2 + x. What is d rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/(64\/192)*-17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f - 3*n - 13, -4*f + 11 = -5*n. Suppose 3*j = -j + 56. Suppose j + 66 = 4*q. Solve -3*m - f = -4*c + 6, -5*c + q = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -31*r**2 - 16*r + 5. Let q(v) = -15*v**2 - 9*v + 2. Determine 9*q(l) - 4*w(l).\nAnswer: -11*l**2 - 17*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1539) - (sqrt(1539) + -2 + 1)) + 1 + (sqrt(1539) + -2 + sqrt(1539))*-4)**2.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**7\/210 - j**6\/30 - j**5\/15 - j**3\/2 - 15*j**2\/2 + 53*j. Let h(l) be the second derivative of o(l). Factor h(q).\nAnswer: -4*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkkvciiq. Give prob of picking 1 v, 1 i, 1 m, and 1 q.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + (-186)\/(-10). Let j = -13 + c. Let l = j + 4. Solve -4*b + 2*m = 10, 2*m - 4 = -l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*k - 3*l, -29*k - 31 = -31*k + 5*l. What is the greatest common factor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314172 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, -3\/2 in descending order.\nAnswer: 2\/7, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*j - 2402611 = 17*j + 435277. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144816 and 8400?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 7. What is i(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -67*f**3 - 136*f**2 - 16*f. Let o = -278 + 287. Let a(l) = -135*l**3 - 273*l**2 - 33*l. Let p(t) = o*b(t) - 4*a(t). Factor p(m).\nAnswer: -3*m*(m + 2)*(21*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4661, 9591, 14793, 20267?\nAnswer: 26013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/319626 (b) -3 (c) 3 (d) -0.16 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25\/62 + 3\/31. Is -3\/14 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 5)\/3 + 5. Let j be 7 + -3*(-4)\/t. Suppose j + 3 = 4*c. Calculate the remainder when 5 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1682 from 7688864179.\nAnswer: 7688865861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -17710.3015 to the nearest 100.\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-160)*6*2\/1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1484.9\nAnswer: 1484.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 904853731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 4*d + 3*d as m + o*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 37 + 23 = 0. Suppose -x - 3*n = -35, -r = 5*x + n - 125. Calculate the smallest common multiple of 42 and x.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - -3)\/((-6)\/8). Suppose 0 = -0*i - 4*i - 5*x + 284, n = -2*x. What is the highest common factor of 57 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from {z: 4, y: 2, r: 1, q: 1, b: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 763993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/24 + 3*a**2\/2 + 1. Let v(o) be the second derivative of w(o). Let l(b) = 2*b. Calculate l(v(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = i. Sort i, 0, 2, -1 in descending order.\nAnswer: 2, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363f (base 16) to base 11\nAnswer: a485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + -3 + 8 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b - 4b?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3252648 and 37405452?\nAnswer: 74810904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*w - 1527 - 342 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 160172*m + 4. Let o(v) = 2*v**2. Calculate r(o(f)).\nAnswer: 320344*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/22)*f*f**(-7\/4)*f assuming f is positive.\nAnswer: f**(13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 - 19*b**3 + 126*b**2 - 324*b + 216 = 0 for b.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) + sqrt(72))**2 + sqrt(72))*-6*-4 + -2 + (-2*sqrt(24)\/sqrt(2))\/((sqrt(96)*1 - sqrt(96) - sqrt(96)) + sqrt(6)).\nAnswer: 434*sqrt(2)\/3 + 6910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -464*c**3\/3 + 1173*c + 1193. Differentiate z(r) wrt r.\nAnswer: -928*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 7 - -2 - (-11 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**5 - 9*q**4 + 12*q**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -17) + -82 + -27 + 85\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 708880 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1203 + 453. Let h = 738 + q. What is the second smallest value in 1, h, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127566068 divided by -7402?\nAnswer: -17234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 6*i + 4. Let s be y(4). Solve 0 = 2*d, -2*t + 2*d = 2*t - s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -1257 - 4512. Suppose 0 = -8*s + f + 11317. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(w**3 - 2*w**3 - 2*w**3) as n*w + y + i*w**3 + a*w**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8\/288*-4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 144 + -a7?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5736.048g?\nAnswer: 5.736048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228477298 divided by -111398.\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x. Let w(d) = 264812*d - 1. Determine w(b(p)).\nAnswer: -794436*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 2. Let u = 13.1 + r. Let w = u + -3.8. Which is the smallest value? (a) -2 (b) 2\/5 (c) -3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 301011, 301014, 301019, 301026, 301035?\n\"Answer: v**2 + 301010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fxff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 277 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 486.2 - -128.8. Let s = m - 615.000269. What is s rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + -1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: bdce (base 16) to base 8\nAnswer: 136716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76128 is divided by 566.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 25) + 32 - (-4 - (-3 - -1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/12 and 38\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 409787.06 and -0.5.\nAnswer: 409786.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**3 + 87*q**2 - 3*q**3 + 14*q**3 - 3*q**3 as c*q**3 + u*q + d + w*q**2 and give w.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 + 10*k**2 + 14*k + 9. Let j be q(-2). Put j, -309, -5 in descending order.\nAnswer: j, -5, -309","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.565 rounded to 0 dps?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5 (c) 6\/163 (d) 3 (e) 5\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 1293911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 22*d\/3 + 242\/3.\nAnswer: (d - 22)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4439120.\nAnswer: 2, 5, 7, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657825247 or 657825248?\nAnswer: 657825248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**3 + h**2 + 24*h + 24. Calculate z(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 4*p - p + (8 - 5 + 2)*(1 + 2*p - 1) + (1 - 4 + 2)*(-p - 2*p + 4*p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 19*z - 24 = 9*z. Solve z = -4*s - 2*c, -3*s = -c - 14 + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3402153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 0*g**3 + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -0*r + 3*r, 0 = -4*p + 16. Let k be 0\/(2 + 0 + r). Let d(q) be the first derivative of q**4\/4 - q**2\/2 - 5*q - 9. Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 137. Let d = 52.0000026 - w. What is d rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -34*c - 7. Let k be v(-7). Let a(b) = b**2 + 92*b - 264. Let g be a(3). What is the highest common factor of k and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 3*o**2 + 2. Let p be g(3). Suppose 5*b - 7 = -p*c, 2*c + 2 = -6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 118*j. Let s(d) = -12434*d. Determine s(f(w)).\nAnswer: -1467212*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 164 - 81 - 5*y.\nAnswer: -5*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 11 = 23*i + 8. Solve 0 = -i*w - 10*w - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*o**3 + 6*o - 8*o + 14*o**3 + 9*o**2 to y*o**3 + h*o**2 + l*o + i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 + 0*j**2 - 5*j**2)*(16*j**2 + 3 - j - 18*j**2 - 4*j**2) in the form n*j + g*j**2 + c*j**4 + w*j**3 + v and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 812588364 a multiple of 1108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = 3*z, j - 5*z = -1 + 14. Suppose 0 = c - 0*c + b - 4, -2*b = -5*c + 13. Solve 5 = -4*t - 5*q, -t + j = -3*t - c*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * 0.94.\nAnswer: 41.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 + g - 9. Let k(y) = 2*y**3 - 2*y**2 - 10. Let s(j) = 4*f(j) - 3*k(j). Let h(u) = 2*u**3 + 3*u**2 - 5*u + 7. Give -4*h(b) - 5*s(b).\nAnswer: 2*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -3 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-34))*p**(-5) assuming p is positive.\nAnswer: p**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1\/22, -3, -58898, -1 in ascending order.\nAnswer: -58898, -3, -1, -4\/7, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 - 23 = w, 4*w = -s - 3. Suppose 109 = 4*d + s*r, 0 = 2*r - 2 - 8. What is the smallest common multiple of 6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24813 and 24.\nAnswer: 198504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52509902*a*m - 69944759*a wrt m?\nAnswer: -52509902*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57149224 minus -3.77581?\nAnswer: 3.20431776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1*sqrt(85) - sqrt(85)) - sqrt(85)) + (sqrt(85)*3*5 - sqrt(85)))\/(1*sqrt(125)*3 + -5*sqrt(125)*-2).\nAnswer: 23*sqrt(17)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 17, 1048, 2\/5, -190?\nAnswer: 1048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s = 91*s - 201. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 21?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 9, z: 4}. What is prob of sequence zo?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1116507 rounded to four dps?\nAnswer: 0.1117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1215 - 1219. What is the second biggest value in w, -1\/2, 6\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 55. Let y = 18.1 + -19. Let j = y + 0.5. Which is the biggest value? (a) j (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 21 = 3*a. Let r = 7 - a. Let m(x) = 0 + r - 8*x + 9*x. Let l(t) = 4*t. Give m(l(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 122. Let r(q) = 5*q**3 + q - 1. Let a be r(1). Let g = 19 - a. What is the remainder when j is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 845 and 1259765?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000169874 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y**2. Let j(h) = 480 - 88*h - 904 + 424. Give j(l(t)).\nAnswer: -1320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872))*2.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1685*b - 38294. Determine o(23).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 16. Let u be y(-8). Is (-534)\/(-10) + u\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-18) - -1)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/60 + -2 + 12\/(-36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-4)*(-4)\/6. Suppose y*o - 14 = 19. Let d = o + -5. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**5 - 163*p**4 - 138*p**3 - 12*p**2 - 21014*p - 8 wrt p?\nAnswer: -120*p**2 - 3912*p - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4010888 and 46900?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -2. Let t = -3\/10 - 1\/5. Is t less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 210\/45 - (-1 - 20\/(-12)). Let b(t) = -10*t**2 - t + 4. Let v(s) = -11*s**2 - s + 3. What is x*v(f) - 3*b(f)?\nAnswer: -14*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 17811.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w**2 + 1774*w - 180. What is the remainder when q(115) is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4434313122 (base 5) to base 14.\nAnswer: -140075d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3873 divided by -4?\nAnswer: 3873\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 6 (c) -243\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009731 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.4282411\nAnswer: 2.1412055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*o - 320 = 0, 5*v = -8*o + 10*o - 536. What is the common denominator of 24\/v - 1286\/(-360) and 69\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 406*j = 401*j + 13, 2*j - 12 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19049, -152363, -514205, -1218839, -2380529, -4113539, -6532133?\n\"Answer: -19044*n**3 - 6*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 4*c**2 + 4*c**2 + ((0*c + 3*c - 2*c)*(-2 + 7 - 3) + 0*c + 0*c + c - c + 0 + 0 + 0*c + 0*c + c + c - c - c)*(4*c + 0*c + 7*c).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in 46, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43310 and 72590?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oloooooooooooooloooo.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-1 - (1 - 2)). Suppose j = -4*w - 46 + 78. What is the smallest common multiple of w and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9691*n - 126025. Determine z(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = -0*f + 5*f, -3*f + y + 1 = 0. Suppose 0 = -5*c + 5*j - 30, 2*j = -3*c - 0 + 2. Let d = c - f. Sort 5, -5, d in increasing order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 36 = 0. Let c(w) = -11*w**3 - 9*w**2 - 2*w. Let o(h) = -5*h**3 - 4*h**2 - h. Suppose -79*x - 270 = 26 + 20. Determine r*o(k) + x*c(k).\nAnswer: -k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and -0.7.\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -341540134 (base 6) in base 5?\nAnswer: -3044434440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -83844422\nAnswer: -83844421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:26 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -86*t + 301. What are the prime factors of k(-18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v, -5*v - 9 = 3*c - 0. Let m be ((-111)\/(-2))\/(c\/(-6)). Suppose 2*d - m = -33. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1629\/6 - 0)\/(3\/4). Let d = p + -364. Is -0.039 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h + 2. Let j be x(-3). Let z = -31 + 77. Let a = j + z. Calculate the greatest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 3*y = -6*v - 61, 0 = -5*v + 5*y + 85. Let d(t) = t**2 - 13*t - 57. Calculate d(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**3\/3 - 2*r**2 - 77*r + 192. What is the first derivative of p(t) wrt t?\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + n**2 - 5 + 2*n**4)*(72 - 1 - 13)*(n - 2*n + 0*n)*(-13 + 0 + 32).\nAnswer: -2204*n**5 - 1102*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*y + 26, -p + 3*y + 2 = -7*y + 12*y for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000437612957 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + 55. Suppose -d = 2*f - 2*q - 499, -2*f - 4*q + 364 = 0. Calculate the greatest common factor of f and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/(-35))\/(2\/5). Let n be ((u - -1) + 4)*-3. Sort n, 3, -2 in ascending order.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -484 + 489. Let u be -2 - -1*(-16)\/(-6). Let v = 6 - 4. What is the second smallest value in o, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1269)\/36*(-16)\/1. Suppose -12*v = -8*v + g. What is the units digit of (0 - 1)\/(3\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 + 1 = 0, -h = 5*j + 162. Let m = h + 180. Solve 3*n - m = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013122 + 313112?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1088050*q*x + q - 12*x + 7713 wrt q.\nAnswer: -1088050*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let o(i) = 32852*i - 86. Let f(z) = -1932*z + 5. Let k(m) = -86*f(m) - 5*o(m). Calculate r(k(s)).\nAnswer: 3784*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362352 by 362352.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -12. Suppose 3*y + m*q = 6 + 14, 4*y - 5*q + 20 = 0. Solve y = 3*s + 1 + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 31.6. Let r = s - -5.4. What is the second biggest value in 2\/11, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10732 = 5*v - 9624, 2*v + 3*q - 8147 = 0. Does 54 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66675.\nAnswer: 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Suppose -3 = -3*x - 0. What is the common denominator of 25\/2 and (x\/(-35))\/(t\/(-1395))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34039549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.172 * -44.619.\nAnswer: 52.293468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 + 2*q**3 - 2*q**2 + 4*q. Let l(v) = 3*v**4 - 7*v**3 + 7*v**2 - 12*v. Let s(d) = -2*l(d) - 7*n(d). Find the second derivative of s(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 2*u**2 - u + 1. Let f(r) = -2*r**3 + 6*r**2 + 104*r - 3. Calculate f(b) + 3*s(b).\nAnswer: b**3 + 101*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*-195060\nAnswer: -780240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -9.4. Let y = n + 29.8. Which is the closest to 1? (a) -0.3 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126225524?\nAnswer: 2, 31556381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440 divided by 488?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 63. What is the closest to -0.1 in 0, l, 276?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -437*j + 264. What is c(1)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyywyyyyyyww. What is prob of picking 2 y?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 36. Suppose 3*t + 5*x = -7 - 7, -s = 2*t + 5*x. What is the greatest common factor of t and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25647 - -25649. Solve 15\/7*g**4 - 6\/7 - 9\/7*g**d - 3*g**3 + 3*g = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 2.4. Let m = -163\/12 + 57\/4. Let a = 112.22 + -111.72. What is the closest to m in t, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i*j + 29254137*i + 19215752*j + 5 wrt i?\nAnswer: 3*j + 29254137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1014\/4 + 18\/(-12). Suppose 151*y = 145*y + u. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.2, 2.4, -39 in increasing order.\nAnswer: -39, 0.2, 2.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 5*m**2 - 4*m - 2. Let z be t(-3). Which is the third biggest value? (a) 1.3 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15414619, 30829238, 46243857, 61658476, 77073095?\n\"Answer: 15414619*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 202321 divided by 36\nAnswer: 202321\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100001110000001100?\nAnswer: 100001110000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 4*i + 128 = 25*o, 4*o + i = 238. Calculate the least common multiple of 57 and o.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906\/13 - 1851\/26. What is the closest to 0.14 in 25, 2\/5, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + (19 - -1 - 28) + 3 + -7 + 22.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 22 = -3*d, 4*x + 3 + 13 = 0. Let k be (-23 + 19)\/(4\/d). Suppose -4*q + t + 56 = -97, 10 = -k*t. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 140*l - 2*l**3 + 20*l**2 - 80 + 145*l. Let v be s(20). Solve v = 3*m + 5*h, 2*m = 6*m - 4*h + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21 - 17 - (-713 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 2*z)*(4 + 0 + 2)*(7*z - 3*z + 2*z)*(-1 + 5 - 3)*(-2*z - 2 + 2).\nAnswer: 216*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 2*f**2 + f. Let m be l(1). Let y be -20 + m + (0 - -1). Let o = y + 33. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 76025268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 16\/3 - 344*n - 159014\/3*n**3 + 7396*n**2 = 0.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:47 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20668 minus 198.13767?\nAnswer: -20866.13767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3685852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/8 - 15\/(-20). What is the tens digit of 235\/n - (-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 91 = -61 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5035 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 5. Let i = 0.1 + 0. Put i, -0.1, x in increasing order.\nAnswer: x, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4)\/(h\/(h**11*h)))\/(h*h*h**(-9)*h)**(-23) assuming h is positive.\nAnswer: h**(-513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/24)\/((-4)\/6). Let i be (-3 - x)\/(3\/(-6)). Solve 2*l = 2*c - i, c + 4*l + 24 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 4*l**2 + 4*l**2 + (-4*l**2 + 0 + 0)*(1 - l - 1) + (-2*l + 6*l - l)*(2 - 2 - 2*l)*(3*l + 2 - 2) + (1 - 2*l - 1)*(-10*l**2 + 26 - 26).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121999*q**5 - 3034*q**2 + 3.\nAnswer: -7319940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1 - (-20)\/4). Suppose 9*p = -7*p + 48. What are the prime factors of 6*(p\/6 - s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) -186 (d) -2\/13 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48521 is divided by 1155?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -752b - 0?\nAnswer: -752b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by 3?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 16. Let o be d(21). Suppose t - 86 = o. Is 41 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 - -112. Let u be h + (4 - (-56)\/(-12)) - 4. Which is the closest to 0? (a) -3 (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f - 3. Let a be p(4). Let n be a\/5 + (-33)\/55. Put 0.3, n, 1 in descending order.\nAnswer: n, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, 4, -5 in decreasing order.\nAnswer: 4, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116314 + 3016?\nAnswer: -113265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 657, 665, 687, 729, 797, 897, 1035?\n\"Answer: i**3 + i**2 - 2*i + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6106.291+1298\nAnswer: 7404.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1886, -3697, -5504, -7307, -9106?\nAnswer: -10901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l - 8019 = -9*l - 1225 for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n = -164*n - 706 - 449. Which is the fifth smallest value? (a) n (b) -11 (c) -2\/55 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((50316\/5)\/6)\/((-2)\/(-10)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*6.362.\nAnswer: -95.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*t + 1302 = -95*t. What is the least common multiple of t and 522?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 8 - 656*b**2 + b - 17 + 5.\nAnswer: -656*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(98) - (sqrt(98) + 0))*-4 - sqrt(98))*5)**2*-5 + 5.\nAnswer: 73505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 12. Let t(w) = 2*w + 23. Let h(a) = -5*s(a) - 2*t(a). Let u be h(-12). Suppose j - 4 + u = 0. Solve 0 = m - 3 - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16*u**2 - u + 1. Calculate the remainder when p(-4) is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*z + 50, 3*z = -l - l - 5. Solve -4*r + n + 5 = 0, 4*r - 2 = -l*n + 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859925 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1100)*1 - sqrt(1100)))*3 + 2 + (sqrt(1100) + 2*sqrt(1100) + 0 - (sqrt(1100) + sqrt(1100) + -2 + sqrt(1100) + sqrt(1100))*1)**2.\nAnswer: -40*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-12) + 55430\/(-15870)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 5. Let a(h) = -17*h + 20. Let d(p) = -2*a(p) - 9*n(p). Let y(t) be the third derivative of t**4\/24 - t**3\/6 + 5*t**2. Determine -d(r) - 3*y(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*((-1*sqrt(4400) - sqrt(4400))\/(sqrt(28)\/sqrt(28) + sqrt(4) + sqrt(4)))**2.\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.9 + -18.52. Let h = 2.28 - j. Let g = 0.01 + -0.31. What is the nearest to 1\/3 in 8, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 7096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 1575 + 4425 = 0. Suppose 4*b - 7 = 3*j + 2*b, 4 = -2*j + 2*b. Let h be (-2)\/j + (-205)\/z. Is -2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1 + -2)*(9 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/5 - 9*b**2 + 1731*b\/5 - 1683\/5.\nAnswer: -3*(b - 17)*(b - 1)*(b + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 884 (c) 3011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 8360081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 542471415 to the power of 1\/2, to the nearest integer?\nAnswer: 23291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 3. Let u be 5 + (2 - (-2 - -2)). Suppose 4 = -q + u. Is q not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9868 (base 10) in base 14?\nAnswer: -384c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.6 + -1.6. Let l = 22 - r. Let d = 0.35 + 0.05. What is the third biggest value in 5, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 977.5064 kilograms?\nAnswer: 977506400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**3 + 2443*g**2 - 1978025*g + 535387370. Let t(v) = -v**3 + v**2 + v + 6. Let x(m) = 2*k(m) - 14*t(m). Find y, given that x(y) = 0.\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*f**3 - 70*f**3 - 2*f**3.\nAnswer: -127*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 108 (b) -5 (c) -0.1 (d) -21\/38 (e) -3\/7 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 704651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 5*u + 488. Let f = -115 - -115. Let g be m(f). Suppose -13*c = -9*c - g. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z + 8. Let m be n(7). Let h(q) = q**2 + 32*q - 66. Let a be h(m). Let w(r) = r + 3. Let p be w(0). Put p, a, -1 in increasing order.\nAnswer: -1, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(-1 + 2 - 3) + (0 - 16 + 64)*(1 - 3 + 4))*(0 + 0 + x).\nAnswer: 92*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-12)\/4 - -13897. Suppose -3*d - 2*d = -x + h, -5*x = 2*d + 5570. Round d to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, 5 in increasing order.\nAnswer: -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1854*z**2 + 1 - 4 + 1857*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceo. What is prob of picking 1 c and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901025 is divided by 128641?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 470309?\nAnswer: 1\/470309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 319*m + 2. Let s(i) = i - 3. Let t be s(4). Is z(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 48 = -58 + 59 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 g, and 1 h when four letters picked without replacement from hggmghmmgghh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 3*d - 3631069*d**2 + 3635999*d**2.\nAnswer: 4930*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -196. Let v = k - 97. Solve 0 = -v*g - 4 - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731020 rounded to the nearest 10000?\nAnswer: 3730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1185 by -5.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 divided by -3.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -1. What is the biggest value in 2\/13, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/90925 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 272851500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 656 + -599.9. Let k = z - 57.1. What is the smallest value in -210, -2, 2\/11, k?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 5. Let n(u) = -13*u + 11. Let v(y) = -9*i(y) - 4*n(y). Let p(t) = -6*t + 2. What is -5*p(f) + 14*v(f)?\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (250\/150)\/((-10)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnu when three letters picked without replacement from {y: 5, f: 1, n: 1, u: 1, t: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 4*b - 2*b**2)*(-1 - 7*b + 1)*(6 - 6 - 11*b) + (-56 + 15*b + 56)*(3*b**3 - b**3 - 4*b**3) as l*b**3 + h + j*b + m*b**4 + x*b**2 and give m.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 1:10 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4 and ((-165)\/40)\/(18\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-252)\/52 - (-2)\/(-13). Let a be 10\/25 - (-422)\/f. Let x = a - -172. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c + 386*c**2 + 70*c - 6 - 38*c**2.\nAnswer: 348*c**2 + 35*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1342b2?\nAnswer: -1342aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o + b = 26*o - 9, -14*o - 60 = -3*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70763, 70766, 70769, 70772, 70775, 70778?\n\"Answer: 3*q + 70760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58055121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 1\/5*x**5 + 0*x - 1\/12*x**2 - 2\/9*x**3 - 4 - 1\/24*x**4. Find t, given that j(t) = 0.\nAnswer: -1\/2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-24))\/(63\/18).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*z - 1305*z - 180 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/7*(-12)\/(1080\/63)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 23*g + 5. Let u be 1\/((-3 + 2)\/5). Let s(h) be the second derivative of -5*h**3\/2 - 3*h**2\/2 - 74*h + 3. Let c(f) = u*d(f) - 8*s(f). What is c(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:32 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1628 + 4930\/3. Let s = x + -89\/4. Find the common denominator of -111\/14 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/33 or 2.78002?\nAnswer: 2.78002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5160 + 5?\nAnswer: -5152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/60 + p**5\/120 - 15*p**4\/8 + 3*p**3\/2 - 3*p**2 + 12. Let j(g) be the first derivative of w(g). Differentiate j(r) wrt r.\nAnswer: 12*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1116858 and -155\/11514.\nAnswer: 1116858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 12*y\/5 - 32\/5.\nAnswer: 2*(y - 2)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -0.16. Let z = -5.05 + d. Let v(q) = 13*q - 40. Let u be v(3). What is the nearest to u in z, -4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 51*l - 288. Let o(f) = -f + 1. Let k(d) = 9*o(d) + v(d). List the prime factors of k(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (0\/((-2)\/1) - -1). Suppose 0*f + 54 = -5*f - 2*q, -5*f + k*q = 42. Calculate the common denominator of 29 and ((-603)\/(-30))\/(24\/f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(4\/(-3 - -4)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, n: 4, c: 4}. Give prob of picking 2 n and 2 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 21. Let b be d(-23). Which is smaller: b or -6\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -694.7839 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 1. Let u be a(-2). Suppose u*q + 15 = 0, -757 = -0*n - 4*n + 3*q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 7 - 2)*(-7 + 7 + k) + (-k + 0*k + 0*k)*(-19 + 6 + 8) to the form b + a*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 207, -47.\nAnswer: -47, 4, 12, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v. Suppose v = -0*u + 2*u - 22. Suppose -5*s - 1 = -u. Solve -4*y + t = y - s, 0 = -2*y - 5*t - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0351 + 0.5359. Round o to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.101+272582080.37\nAnswer: 272582081.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103327 and 4234?\nAnswer: 15085742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271488, -1085944, -2443370, -4343766?\nAnswer: -6787132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11583 divided by -3.\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - f - 13 = 20, f = 2*t + 43. Let g(v) = -v**2 - 23*v - 43. What is the tens digit of g(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*q - 26, 4*q = 18*d - 22*d + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) + -2)*3 + 0)**2 + 1 + -3*sqrt(448)*-2)*6.\nAnswer: -1440*sqrt(7) + 24414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - z - 9509 - 17012 = 0, x - 8857 = -3*z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5\/3, -0.08, 1\/2, 2\/11 in decreasing order.\nAnswer: 5\/3, 1\/2, 2\/7, 2\/11, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 4. Suppose -3*u + 9 = 4*r, -5*r = u + w*u - 6. Let g = u - 4. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-6)*6\/4. Suppose -13 = 4*g - 5*h, -h = 3*g + 1 + t. What is the remainder when (10 - 9)\/(g\/(-4)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16680 and 137\/2800.\nAnswer: 1167600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 723670 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3100529231.\nAnswer: 19, 163185749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) - 90\/5. Put f, 4, 1 in ascending order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91, -411, -945, -1693, -2655, -3831?\n\"Answer: -107*d**2 + d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102940 is divided by 34287?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2543, -2548, -2553?\n\"Answer: -5*h - 2538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2683884 divided by -10052.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d - 260. Let w be i(9). Let u(r) = 3*r**3 - 15*r - 8. Let s(m) = -m**3 + 1. Let k = -8 - -6. Let g(y) = k*s(y) + w*u(y). Factor g(l).\nAnswer: 5*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2334781 and -0.2?\nAnswer: 466956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**21*q*q)\/((q\/q**13)\/q) assuming q is positive.\nAnswer: q**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-2)\/(-16)*2. Calculate the greatest common divisor of 11 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -277, -417, -557?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(2*sqrt(4)) - 1*sqrt(7)*3.\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -31. Let c be 3\/z - 11\/(-4). Solve -1 = -4*y + c*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 11749?\nAnswer: 117490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - -1.31. Let c = 1 - i. Let z = 0.3 + -0.5. Sort c, -1, z in increasing order.\nAnswer: -1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 643 = 334. Let c = 115 + n. What is the remainder when 46 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - 0.7. Let u(q) = -q**3 + q + 3. Let d = 25 + -25. Let h be u(d). Put 2\/5, h, y in increasing order.\nAnswer: y, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.5287s to microseconds.\nAnswer: 29528700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 21, 42*k + 2*z - 1154243 = 39*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/68)\/((-51)\/6).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 8. Give n(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 2*w**7\/105 + 2*w**6\/5 + 17*w**5\/15 - 19*w**4 - 144*w**3 + 2*w**2 - 171*w + 12. Solve f(s) = 0.\nAnswer: -9, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 4*m**2 - 2*m**2)*(-2 + 4*m**2 + 2).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*v - 9 = 31, 3*g + 31 = -4*v. Let r = g + 3. Is r less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 5*a**3\/6 + 9*a**2\/2 + 7*a. List the prime factors of s(5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 21 = 6*d, 4*d - 38 = -30*c - 376 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, 22.3, -2\/7?\nAnswer: 22.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 874808 and 5.\nAnswer: 4374040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21806 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)*(-2 + 12). Let a be 2\/(-3 + (-3)\/(-3)). Let m be 2\/4 + a\/2. Solve m*w + 2*l = 4*w + u, 2*l = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)\/(z*z*z\/z**(9\/2)*z*z*z))\/((z\/(z\/(z**(1\/3)\/z)))\/z)**(3\/13)*(((z\/(z\/z**5)*z)\/z)\/(z**(-2\/7)\/z))**39 assuming z is positive.\nAnswer: z**(222429\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -83*q + 81*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/3 + 1 + (-9 - -2166). Suppose -10*n - a = -17*n. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7685?\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/19922835?\nAnswer: -7\/19922835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29613353 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 151022279092?\nAnswer: 151022279088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (40\/5 - 6). Is x >= 1\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(51)*-1)\/(sqrt(147)*-5).\nAnswer: 3*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/666)\/(-10))\/((-3)\/(-9)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(34)\/(sqrt(200) + 2*sqrt(200)) + -2.\nAnswer: sqrt(17)\/30 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 15, -26*i - 3383 + 3316 = -5*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, -25, -77, -129, -181, -233?\n\"Answer: -52*u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.34 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*g - 1323*g - 675*g)*(1 + 2*g - 1).\nAnswer: -3728*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - -5 - (-100 - -110).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29241435*z**4 + 112703012 wrt z?\nAnswer: -116965740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 478 + 281. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 85599.69 years?\nAnswer: 855.9969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.04, -1\/3, 3, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16583118 to the nearest integer?\nAnswer: 4072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 5*i - 4. Let r be a(-5). Let k be (-1 + -1)\/(r\/42). Solve 2*z = -s - 3, z + 0*z = -5*s + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8779 + 4387 - 2*g + 4392. Let l(n) = 6*n**2 + 17*n**2 - 3*n**2 + 11*n**2. Calculate v(l(m)).\nAnswer: -62*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 43080*d - 4567500.\nAnswer: 4*(d - 10875)*(d + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818735.\nAnswer: 3, 5, 29, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9.16 * -4365\nAnswer: 39983.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:10 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(6 + 170*v**2 - 332*v**2 + 157*v**2).\nAnswer: 10*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 3*b**2 + 5*b + 167. Let r(a) = -a**2 - 2*a - 1. Calculate -h(d) - 3*r(d).\nAnswer: -d**3 + d - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4988105 + 4990889 = 58*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - k. Let l be m(0). Suppose 2*z = -4*o + o + 10, 5*z - o - 42 = l. Calculate the remainder when 21 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 4)*((2*m - 2*m - 2*m)*(0 - m + 0) + 1153*m**2 - 194*m + 194*m).\nAnswer: -2310*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(-2\/37)\/w*w)\/w)\/(w**(-1\/5)\/w))**(7\/3))**(3\/23))**(3\/8) assuming w is positive.\nAnswer: w**(567\/34040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134 - (170 + 166) - (3 - 50)?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8750 + 12343. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.7934cm in nanometers?\nAnswer: 8747934000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(-1*(-6)\/(-234)). Suppose -i*q = -16*q. Solve -t - c - 5 = q, 4*t + 0*c = 5*c + 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8263.5453 minutes?\nAnswer: 5.738573125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1891888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1082 is divided by 84.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134101133 (base 6) to base 10.\nAnswer: 2714097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5*((-1760)\/66)\/(-40). What is the closest to -1\/4 in -4\/7, k, -1\/5, -7\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9027*o**3 + 10*o**2 + 7*o - 12. Let f be a(-12). What is f rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30187904 by 8.\nAnswer: 3773488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 270034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4349058 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 12. Let v(t) = -t**2 - t - 3. Let g be v(-3). Let f be s(g). Let h = 0.3 - 0.5. Which is the nearest to -1? (a) h (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 146, 153, 180, 239, 342?\n\"Answer: 2*o**3 - 2*o**2 - o + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -0.03 (c) -0.02 (d) -4 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.4161 millilitres to litres.\nAnswer: 0.7834161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:03 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.077484 weeks?\nAnswer: 81421.03872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21119\/120 + 176. Let t(f) be the third derivative of 0 - 1\/300*f**5 + 0*f + 1\/1050*f**7 + 1\/600*f**6 - h*f**4 + 0*f**3 - 3*f**2. Factor t(g).\nAnswer: g*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4257073 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 - 285 = 3*a. Let d = 309 + a. Suppose 3*v = -2*v + d. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/180 - v**4\/72 - v**3\/9 + 8*v**2. Let n(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**3 - 4660*q**2 + 2815*q + 1870.\nAnswer: -5*(q - 1)*(q + 187)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -10. Let m be (4 + 0)\/(b*1\/(-1)). Is 3\/((-24)\/(-2642)) + 3\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 40*f + 139. Let g(t) = -35*t + 2. What is g(a) + i(a)?\nAnswer: 5*a + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49681512 or 1?\nAnswer: 49681512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/60 + 25*n**3\/2 - 150*n**2. Let y be m(0). What is the greatest common factor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 4. Let f(z) = -6*z**2 - 9. Let k = 28 - 24. Calculate k*f(q) - 9*r(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 3. Let o be v(-2). Let j = -4 + 10. Let p = j + -5.3. Is p greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.6721375\nAnswer: -4.7049625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 58223 times -0.0132\nAnswer: -768.5436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(-3*sqrt(180)*6 + 5) + 3 + -2).\nAnswer: -648*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, c: 5, y: 3, w: 1}. What is prob of picking 1 r and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -34123000 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 9.56. Let c = -24.91 + 13.91. Let b = s + c. What is b rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 - 2*g**2 + 9*g - 3. Let k(l) = -6*l**3 - 3*l**2 + 8*l - 4. Calculate 3*k(x) - 4*z(x).\nAnswer: 2*x**3 - x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2628\/15 - (-13)\/(-65). Suppose 2*v = 3*x - x - 118, -3*x + 4*v = -t. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 569907?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/6 - 27*t**4\/2 + 5909*t**3\/6 - 12233*t**2\/2 - 11810*t\/3 + 24682 = 0 for t.\nAnswer: -129, -2, 2, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y + 20. What is the tens digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 8*a**2 + 4*a + 6. What is the least common multiple of 16 and v(-6)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 101 + 1. Let u(d) = d**3 + 18*d**2 + 15*d - 13. Let c be u(v). Let b = c - 16. Solve 0 = b*z + 15 + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18017 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-50.755.\nAnswer: 101.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0296478 to 4 decimal places.\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -16618496 and -16618496 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -827*f - 3886. What is the remainder when y(-51) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3 - 16*c**4 + 17*c**4 + 3*c**3 - 4*c**2 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 161*b**5\/60 - 69660*b**2. Let u(k) be the second derivative of k**4\/12 - 2*k. Calculate t(u(z)).\nAnswer: 161*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -4*f - 0*f, 0 = -3*f + 15. Suppose 839 = d*a + 182. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104267273*b*x**3 + 574*x**3 + 2*x**2 - 10407*x + 2 wrt b.\nAnswer: 104267273*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + (-16 - -9 - (-11 - 0)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/10)*g**(2\/13)*(g\/(g*g**(-2))*g*g)**49 assuming g is positive.\nAnswer: g**(25487\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1339 - 1968?\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2070 and 30475?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -417 + 74*r**2 - 5*r**2 + 27*r - 27*r wrt r.\nAnswer: 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttvtvtttt. What is prob of picking 2 v and 1 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 60*u - 178. Calculate a(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1037\/(-51) + -19. What is the smallest value in -6\/5, -1\/127, x?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*d - 48*d = -1182868. What is the remainder when d is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 divided by 63?\nAnswer: -209\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*t - 20, -12 = -4*w + w. Let i be (5 - t) + (-18)\/6. Find the first derivative of 2*g**4 + 5*g**i - 1 - 3 - 2*g**4 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*r**2 - 168*r**2 - 794*r + 1 + 794*r + 5*r**3.\nAnswer: 5*r**3 - 236*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 27 = 7. Let n be (-105)\/o*(-1)\/3. Suppose -15*y**2 - 4*y**3 - 12 + 18*y**3 - 13*y - 35*y + n*y**3 = 0. What is y?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjijhjjjjjijjj. Give prob of picking 1 i, 1 h, and 2 j.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 3*r + 2*r + (-5 + 2 + 0)*(4*r - 2*r - 5*r) to the form l*r + u and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 4.9. Let u = -65 + 458\/7. Which is the second biggest value? (a) 0.1 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100211112 (base 3) to base 6.\nAnswer: -53105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 12*q**2 + 8*q - 3. Let m be a(-5). Suppose -g - m = 3*l, 2*g - l + 4*l = -2. Solve g*h = 3*s + 23, -h + 3*h = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7922\/9 - (-2)\/(-1). Let i = -1394 - -2268. Let v = i - z. Find the common denominator of v and -69\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14579387*f + 13390324?\nAnswer: -14579387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -674\/63 - -2\/63. Let t = s - -67\/6. Solve 0 - 1\/6*l**2 + t*l = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (403*s**3 + 111*s**3 - 180*s**3)*(-3 - 1 + 2)*(-1 - 3 + 3) in the form f*s**3 + b*s**2 + c*s + i and give f.\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + -1. Let z = p - -23. What is the smallest value in z, 0.4, -5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193961557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -53. Let f be ((-5)\/(-15))\/((-2)\/m). Let t = -2 - -3. Solve 5*u = 3*n + 4, f*n + 8 + t = -3*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1640468 - -1640467.8599953. Let j = g + 0.14. Round j to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31085.841 + -31094.4409997. Let k = c - -8.6. What is k rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 1903?\nAnswer: 19030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1908 and 1378.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-42)*((-4)\/(-3))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5 + 48*n + n**2 - 115*n + 60*n. Calculate i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 47. Which is the fifth biggest value? (a) 0.2 (b) 0.5 (c) g (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 278*v + 939 = 6119 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*g + 236882, -5*u = 5*g + 67122 - 304012. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7441 + (38*3\/(-24) - 6\/24).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/215 (b) 2\/7 (c) 82 (d) -2 (e) 11 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64e6 - 247?\nAnswer: -673d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**4 - 2*u**3 - 4*u + 1. Let t(j) = -1165*j**4 - 12*j**3 + 1122*j**2 - 24*j + 6. Let d(z) = 6*l(z) - t(z). Find the third derivative of d(o) wrt o.\nAnswer: 28104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(5)*1 + sqrt(5)) - 1*sqrt(5)*6).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (18\/(-3))\/2. Solve 5 = -r*m, t + 5*m = -2*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 521532612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -67. Let u be 1 + -3 + v + 10. Which is bigger: 15 or u?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 88. Let a be j(-24). Suppose -10*p = -a*p. Solve -3*t + 5*t = l - 12, p = 5*l - 5*t - 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1624\/174)\/(6\/9). Suppose 5*k + 0*k - 140 = 0. Calculate the highest common divisor of p and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - -2?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309499*l**2*q**2 + l**2*q - 4726*l**2 + 3*l wrt q.\nAnswer: 618998*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 23, 58, 117, 206, 331, 498?\n\"Answer: c**3 + 3*c**2 + c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11445 or 30870?\nAnswer: -2\/11445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 + 9*g**2\/2 + 2*g - 1. Let c be d(9). Find the third derivative of 1 - 1 - 2*v**6 + c*v**2 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/17, -1, -0.1 in ascending order.\nAnswer: -1, -0.1, 14\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4295043590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99*c**2 - 215372*c - 2966329?\nAnswer: 198*c - 215372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039559377 to four dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(456)\/sqrt(8)*4)\/(sqrt(300)*-4)*-2.\nAnswer: -1 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c = -a - 10, -5*a + 22 = 3*c. Let m = 585 + -643. Let z = m + 60. Solve 2 = -z*n - 2, 0 = 5*j - c*n - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 889*l + 2714 + 15066 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 a when four letters picked without replacement from {a: 5, r: 12, z: 1}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -1261, -2106, -3061, -4126?\nAnswer: -5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 10. Solve -o = 5*p + 5, 0*o = 3*o - b*p - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - 7*z + 2. Suppose 2*r + 10 = 3*r. Suppose 5*q + 15 = -4*b + b, 2*b - 3*q + r = 0. What are the prime factors of x(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 16 = 2*k, -4*k = 5*h - 232. Let v be (4\/7)\/(h\/168). Solve 2*c - 8 - v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q + 5. Let y be h(4). Suppose 5*v - y = 5. Factor -3*r**v + 2*r**2 - 4 - 2*r + 6*r.\nAnswer: -(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41384138.1 + 41384167.99999666. Let a = -29.9 + l. What is a rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*j + 294, -4*z = 2*j - 4*j - 296. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/144 and 73\/26114064?\nAnswer: 78342192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053436 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 596b7 - d?\nAnswer: 596a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 216 = 3*u, -4*u - x - 57 = -345. Suppose 85*g - u*g = 14599. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -12, -2*x = 3*b + 8 + 22. Let v = 121 - b. What are the prime factors of v?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**3 - 73*m**3 + 45*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:28 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2138600\nAnswer: -1\/2138600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216151 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3. Let x(q) = 4*q**3 - 11*q**2 - 18*q + 19. Let u(k) = -2*n(k) + x(k). Let c be u(-13). What is c rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/17, 2\/15, -69.3?\nAnswer: -69.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2735 by -5.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 1\/6*l**3 + 40*l + 3*l**2 + 0. Let o be 2\/10*0 - 0. Calculate d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116, -178, -240, -302, -364, -426?\n\"Answer: -62*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*g + 6 = 0, 2*b + 14*g + 8 + 32 = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33251, -33888, -34511, -35114, -35691, -36236?\n\"Answer: h**3 + h**2 - 647*h - 32606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 513 - 513. Put 3, y, -2, 4 in decreasing order.\nAnswer: 4, 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73686.0108763 - -73686. Round b to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*b. Let y(p) = -2*p + p - 1 - b. Suppose -2*a - x - 4 = 11, -5*a - 5*x = 45. Calculate y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 35\/5 + 2. Sort c, -2, -3 in decreasing order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erckkiiirkekee. Give prob of picking 2 i, 1 c, and 1 k.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:29 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 8*b + 12. Let m be (-3)\/(-6) + 27\/b. Calculate the greatest common divisor of m and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -1*(-2 - -1 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - ((-1 - 10) + (-66 - -77)) - 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -0*b - 2*b - 10, 4*f = 5*b + 31 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -1 + 3 + -3. Suppose 10*g = 35 + v. Solve -g*z + 7 = -5*y, z - 3 - 4 = -4*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/6)\/(-7)*0. Suppose 2*s + o*s - 32 = 0. Solve -5*g + 2*n = -s, -n + 14 = 4*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + g**2 + 0 + 1 + 21*g**3 + 0 to the form w*g**2 + l*g**3 + i + a*g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/120270 and 17\/56970.\nAnswer: 1082430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 116257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 129600 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 7 = 3*t. Let q(k) be the second derivative of 0 - 1\/20*k**5 - 5\/12*k**4 - 103*k + 0*k**2 + k**3. Give q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*i - 4*p, -2*p - 663 = -647 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 58*t**2 - 108*t + 109. Calculate the least common multiple of 33 and r(56).\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 117, 235, 457, 819, 1357, 2107?\nAnswer: 3105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - sqrt(1088)*-1) + 2)**2 + 5 + (((sqrt(1088)*-3 - sqrt(1088)) + 4)*-4)**2.\nAnswer: -4032*sqrt(17) + 283145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -67*d - 1396. Let f be r(-21). Solve 5*h + 8*t = 10*t - f, -t = 5*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 308113 in 2, 0.01, -0.1, 0.3, -5, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/6 and ((-324)\/8)\/(-9)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*n - 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*w + 4*w. Let g be 2\/(-1 + -1) + 4. Let r(p) = -37*p + 1334. Let u be r(36). Sort -6, w, u, g.\nAnswer: -6, u, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 3. Suppose -2*v = 2*v - i + 14, 2*v + 2 = 3*i. Calculate s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -385*x**4\/4 + 107*x**2\/2 - 201. Find the second derivative of r(y) wrt y.\nAnswer: -2310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -519173625*a - 135165085 wrt a?\nAnswer: -519173625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loo when three letters picked without replacement from {l: 1, o: 4, e: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 2*v)*(-101 + 11 - 85 + (-3 + 0 + 4)*(2 + 1 - 2) + 1 - 2 + 2).\nAnswer: -346*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 7, 31, 65?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -288385.707 rounded to the nearest 10?\nAnswer: -288390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y + 1. Suppose -3*n + 2 = -1. Suppose 0 = a - 4 - n. Let s(u) = -6*u - 1. Give a*j(m) + 6*s(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546048 and 1020672?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/(-5)))\/((-3)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - 11*j - 6. Let t(v) = 6*v**2 - 12*v - 6. Let g(r) = -7*q(r) + 6*t(r). Let y be g(-4). Suppose y*z - 7*z = -5. Solve 3*i + z = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344\/192251 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by 165\nAnswer: 151\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 315576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-27.9495.\nAnswer: -139.7475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h + 1616 + 400 = 164*h. Let q(j) = -j**3 - 2*j**2 - 3*j - 4. What is the smallest common multiple of q(-3) and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6*m + 47952 = -6*m. List the prime factors of m.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.3, -0.07 in descending order.\nAnswer: 0.3, -0.07, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -206426364 (base 7) in base 13?\nAnswer: -271ccbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*i = 23858 - 8493 + 30235. Calculate the highest common factor of 1000 and i.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = 33*m - 68. What is the third smallest value in 1, m, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9*1)\/((696\/9)\/(-4))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/77 - -5\/11. What is the closest to -0.3 in -4\/9, u, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:53 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**3 + 3*h - 30. Let r(l) = 5*l**3 - 3*l + 24. Let d = -495 - -491. Let p(v) = d*o(v) - 3*r(v). Differentiate p(c) with respect to c.\nAnswer: 27*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 1*3\/6*-2. What is the highest common factor of d and 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 20. Solve -p*r = -16*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2994 divided by 2994.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuhuuuuuuuuhuuuuuu. What is prob of picking 2 u?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from {q: 6, j: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064826 + 1653.3114.\nAnswer: 1653.246574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*p**4 + 892156*p**3 + 325545*p**2 - 171*p.\nAnswer: -2856*p + 5352936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-525) - 0)\/((-47)\/235). Let p(v) be the third derivative of 1\/10*v**6 - d*v**7 + 0*v**3 - 6*v**2 + 0*v + 0 + 1\/6*v**4 - 1\/5*v**5. Factor p(o).\nAnswer: -4*o*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-143)\/(25025\/4410)*65\/39\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 130*j**2 + 354*j + 5321. Calculate u(133).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 4*u**2 + 64*u + 43. Give b(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.86039ug to grams.\nAnswer: 0.00008786039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 414890835 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 7*t + 4. Let l(c) = c + 1. Let s = -16 + 11. Let d(a) = s*l(a) + g(a). Determine d(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from wccv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4915 - 614?\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139912 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/(-50)*5\/(-3). Suppose -3*f = -3*p - 3, 1 = -2*f + q*p + 2. Suppose -17 = -3*k - 2*z + 20, -f*k = 3*z - 23. Is k less than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37567625 and 275839.\nAnswer: 4117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*z**4 - 115*u*z**3 - 2*u*z + u + 13*z**4 + 32*z**2 + 4*z wrt z.\nAnswer: 48*u*z - 690*u + 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0 - 1\/2*n**2 + 1\/4*n**4 - 1\/20*n**5 + 3*n + 1\/6*n**3. Let d be j(3). Solve -3*a + k - 16 = 0, 0*k + d*k - 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25935 and 62205?\nAnswer: 8273265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/196320 and -55\/2454.\nAnswer: 196320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g**2 + 3. Suppose 3*c + 2*s + 4 = -0*c, -2*c + s - 12 = 0. Let v = c - -7. What is m(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2778, -4\/5, -6\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l - 1560 = 128*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.8 + -26. What is b rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*z + 20, x + 3*z + 9 = 6*z. Which is the smallest value? (a) 99 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42688, 0, 4 in descending order.\nAnswer: 4, 0, -42688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from fgfgfgff?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c + 69*c + 132 = 141*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 4 - (-15 - 25 - 68)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 100, -1\/4, 1, 4 in ascending order.\nAnswer: -1\/4, 1, 3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**2. Let q(j) be the first derivative of j**5\/20 - 78*j**3 - 33. Let z(k) be the third derivative of q(k). Calculate z(f(n)).\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -61. Put 1, k, -4 in descending order.\nAnswer: 1, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 29260332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*l + 44 = 0, 3*k - 218*l + 46 = -222*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019244 to 7 dps.\nAnswer: 0.0000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 + 8 = 2*r, 3*r - 2*p = 0. Let f = r + 0. Suppose 5*y = f*y + 9. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48209.3 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(1*(sqrt(162) + 2) + sqrt(162) - ((5*sqrt(162)*-2)**2 + sqrt(162))) + -3.\nAnswer: -9*sqrt(2) + 16196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1190*y + 2 - 264947*y**3 + 4997*y + 264945*y**3 - 2128*y**2 wrt y?\nAnswer: -12*y - 4256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-585\nAnswer: -584.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -42*o**2 - 12. Suppose -4*q - t = 48, -2*q - 49*t + 52*t - 24 = 0. Let u(w) = 17*w**2 + 5. What is q*u(j) - 5*r(j)?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + sqrt(13)) + 1 + sqrt(1573) + -1)*3)**2.\nAnswer: 504*sqrt(13) + 5877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**8\/56 - v**7\/21 + v**6\/30 + v**2 - v. Let h(w) be the first derivative of l(w). Factor h(j).\nAnswer: 2*j**3*(j - 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458629*p**3 - 8*p**2 + 15942*p wrt p.\nAnswer: -2751774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2737126.\nAnswer: 2\/1368563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, d: 3}. Give prob of sequence yy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906765977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207 - -209. Suppose 5*j = -o*k + 14240, -5*k = -3*j - 15608 - 19961. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 2, n: 4, p: 1}. What is prob of sequence wn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.05 - -27.887. Let g = u - -1.2. What is g rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -4. Let f = -14827\/130 - -1484\/13. Let p = -23.8 + 24. What is the second smallest value in p, q, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -286, -1715, -4288, -8005, -12866, -18871, -26020?\n\"Answer: -572*w**2 + 287*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*k = -8, 25 + 13 = -5*h + 2*k. Let a be (1 - -5)*4\/h. Let r be ((-2)\/(-52))\/(a\/(-16)). What is the smallest value in r, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.124603131 to five dps.\nAnswer: -0.1246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 82040819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**4\/7 - 3830*y**3 + 4786*y**2 - 6700*y\/7 = 0. Calculate y.\nAnswer: 0, 1\/4, 1, 3350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l**2. Let m(x) = 9*x**2 - 4*x - 22. Let o be m(-7). Suppose -5*p = -o - 2493. Let c(a) = p - 588 - 2*a. Calculate k(c(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(162) + -1 + sqrt(162).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102831931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3610071.\nAnswer: 3, 401119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7690, 7403, 7114, 6823, 6530?\nAnswer: 6235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.8 plus -72304?\nAnswer: -72279.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3623.\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 7*p**2 + p + 2. Calculate c(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13722651 to the nearest integer?\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**2\/6 - 1720*v\/3 - 3425\/2 = 0?\nAnswer: -685, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:16 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -5*u - 4. Suppose 6 = 3*r + 5*x - 11, 2*x = r - u. Suppose 148 = g + r. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71140*o**3*q**3 + 2*o**3 - 3*o**2 + o - 2*q**3 + 134 wrt q.\nAnswer: -213420*o**3*q**2 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-86)\/(-10). Let j be (1 - 24\/18)*-3. Put a, -4, j in ascending order.\nAnswer: a, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4571103*k**2 - 147302*k - 1?\nAnswer: -9142206","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put 202, -3, 8, 1277, -1 in ascending order.\nAnswer: -3, -1, 8, 202, 1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from {x: 1, b: 7, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4, -2*i - 3*k = i - 36. Suppose -10*y - 44 = -i*y. Let q = y + 21. Let c(u) = 5*u + 1. Determine c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 - 191. Which is the nearest to 47? (a) r (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4745*i**4 - 40*i**3 - 930486*i**2.\nAnswer: 113880*i - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 31 = 4*i + 22, -21 = -5*n - i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 492\/66565 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from yihihw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c - 4. Calculate y(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 + 11*d**4\/24 - 19*d**3\/6 - 18*d**2. Let y be t(9). Let s(b) = 3*b. Let z(w) = 1. What is y*z(c) + s(c)?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 14*p**2 + 9*p + 14. Let z(u) = u**3 + 9*u**2 - 6*u - 9. Let n be (-12)\/(3\/(-1)) - -1. Let s(g) = n*f(g) + 8*z(g). Factor s(c).\nAnswer: (c - 1)*(c + 1)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5\/2 + 6*g**4 + 15*g**3\/2 + 3*g**2.\nAnswer: 3*g**2*(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(8040\/800)\/(-67).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 + a**5\/12 + a**4\/8 + 2*a**3\/3 - 10*a**2. Let k be 4\/10 - 54\/10. Give m(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316 (base 10) to base 4.\nAnswer: -10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 151*z**2 + 586*z + 81. What is the lowest common multiple of k(-147) and 30?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 10 + -3 - 9. What is the fourth smallest value in 4, -1, p, 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/240 + k**4\/48 - k**3\/24 - 8*k**2. Let t(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124105241032 - 63\nAnswer: 124105240969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*p**3 + 21*p**3 - 29*p**2 + 1 - 2*p + 23*p**3 + 18*p**3 as t*p**3 + o*p + b + f*p**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2676 + -4.58865546?\nAnswer: -2680.58865546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(6\/4 - 0). Let p be 12\/(-4) - 0\/(-1). Which is the nearest to 1? (a) t (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, -70865, -2 in decreasing order.\nAnswer: 2, -2, -29, -70865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 9*k**2 - 5*k - 1. Let z be l(-4). Solve 3 = -0*s + z*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302916 divided by 25243\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**3 - 11*h. Let x(b) = -b**3 + b. Determine -44*x(f) - 4*y(f).\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h)*(1 + 0 + 1)*(5 + 0 - 2)*(0*h**2 + 3*h**2 - 2*h**2).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-110)\/(-5))*4\/8*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**8)\/p)\/p*p**(-1\/9)*p)\/(p**(2\/23)\/p**0)*(p**(-1\/4))**(-42)*p**(-1\/7)*p*p*p**(1\/6) assuming p is positive.\nAnswer: p**(29452\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1518962262 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 1\/2*y**6 + 0*y**2 + 0*y + 9\/5*y**5 - 98 + 0*y**4 - 4*y**3. Factor x(i).\nAnswer: 3*i**2*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68752935 divided by 4583529?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1105, -23\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29525 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*4\/(-12)*-422*375. Suppose 2*t = 4*u - w, 2*u - 3*t + 5*t = 26360. Is (u\/36)\/(1\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 3.8. Let j = 9.2 + -1.2. Let i = -13 + j. Which is the closest to -2\/3? (a) i (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Suppose a = q - 4. What is the units digit of (q\/(-1) - 0)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3427.\nAnswer: 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q**3 + q**2. Let p = 7 + -4. Let j be ((-2)\/(-6))\/(p\/(-9)). Calculate the smallest common multiple of 20 and a(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.8 or -120482?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11843628.\nAnswer: 2, 3, 17, 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 281 = 3*s + 290, -2 = -u + s. Solve u*g - 108 = -3*a - 96, 2*a - 10 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + k + 2. Let v be t(-1). Let d(f) = f**2 + 10*f + 3. Let h be d(-10). Let z be (v\/15)\/(h\/(-30)). Let u(i) = -2*i + 5. Determine u(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-75)\/(-3) + 0 + -1. Suppose -4*o - 3 = -11. Suppose o = -f + 5. What is the greatest common divisor of u and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/50508 and -93\/11224?\nAnswer: 101016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgbsghr. What is prob of sequence ggr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23686678 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1714\/7 in -7, 0.01, 1\/5, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10526 - 5925. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 210\/336*30\/25. Suppose 0 + l*h - 1\/2*h**2 - 1\/4*h**3 = 0. Calculate h.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3127920 (base 10) to base 7.\nAnswer: -35405205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54099*r**2\/4 - 55695*r\/4 - 399 = 0. What is r?\nAnswer: -1, -532\/18033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 6. Let d(y) = -3*y + 7. Let c(a) = -3*d(a) + 4*q(a). Let m be c(-3). Solve -5*g - 4*b - 35 = m, -3*g = 2*g + 2*b + 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6677.397 micrograms?\nAnswer: 0.000006677397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 + 450. Let z(h) be the first derivative of -h**3\/3 + 15*h**2\/2 + 48*h - 10. What are the prime factors of z(w)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 463*z.\nAnswer: 463*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-45)*(-5)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v + 60. Let f be b(-7). Solve -f*s + 3 - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 - 4*o - 4. Let d(v) = -6*v**3 - 9*v - 9. Determine 4*d(h) - 9*w(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20.5 (b) -0.0233 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35621 - -0.3933. Round a to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/6)\/(3\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2044 and 2042 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 - 8. Give g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2282583 by 249.\nAnswer: -9167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3342991*u - 2389442?\nAnswer: -3342991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**5\/15 - 2*o**3\/3 + 2*o**2\/3 + 11. Factor g(c).\nAnswer: 2*c*(c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1240932? (a) 0.1 (b) 5 (c) 1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*z = -3*z - 3565 + 694 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(3 - 2 + 0)*(11052 + 1058*q - 11052).\nAnswer: 2116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.185658s in weeks?\nAnswer: 0.000526100625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212320 + 203412 = 74*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 531*n**2 - 131*n - 35901. Calculate y(266).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3506 - -3?\nAnswer: -3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2453? (a) 2\/15 (b) -0.8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/8 - 19*u**4\/8 + 2927*u**3\/8 - 7533*u**2\/8 - 544887*u\/4 = 0. What is u?\nAnswer: -63, -18, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1265.\nAnswer: -6\/1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175.3 + 27.7. Let q = y - 201.14. Let f = q + 0.14. What is the third smallest value in -1\/16, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60263 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 5*k - 5*k + 11 + 2*k**2. Let z be j(10). What is the greatest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfr when three letters picked without replacement from {v: 1, p: 1, r: 2, f: 1, j: 1, y: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 + 2544313?\nAnswer: 2544435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 32*x = 5*w - 123, 4*x + 16 = 0. Calculate the remainder when 4\/(-1 - 1) + 43 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let r(m) = m**2 + m + 1. Let t(z) = 11*z**2 + 8*z + 8. Let o(n) = -24*r(n) + 3*t(n). Determine o(q(v)).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144.69 and 0.2493.\nAnswer: -36.071217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(1*sqrt(2)) + 4 + ((sqrt(1053) - (0 + sqrt(1053)))*2)**2.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let v be (-2 - y)*9 - -3. Let l be -3*4\/v - -1. Solve 3*c - s = -l, c = -4*c + 3*s - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134855469 a multiple of 579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25847?\nAnswer: 25847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x - z + 92, -2*z - 69 = -3*x. Let d be (7 + -5)\/((-2)\/(-4)). Suppose d*k = 14*k - 390. Calculate the remainder when k is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2, 11\/36, 3, 16, -0.3 in ascending order.\nAnswer: -2, -0.7, -0.3, 11\/36, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 565477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 203423 (base 5) to base 10\nAnswer: 6738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**2 + 286250*r + 4096953125 = 0.\nAnswer: -28625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = -4*o, 2*o - o + 5 = z. Solve 0 = 3*m + z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110577 is divided by 31498?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 2)*(-6*o + 2*o + 2*o)*(-3 + 0 + 5)*((3*o + 0 + 0)*(1 - 7*o**3 - 1) + (0*o**2 + 0*o**2 + o**3)*(-3*o + 2*o + 0*o) + 2*o**4 - o**4 + o**4).\nAnswer: 400*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.419 in -0.02, -0.03, -1\/32, -12?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - -4) - (18 - 18)\/(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3635 divided by 8.\nAnswer: -3635\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x - 6. Let f(o) = -10*o - 11. Calculate -2*f(m) + 5*g(m).\nAnswer: -5*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:52 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1691, -2244, -2797, -3350?\nAnswer: -3903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w + 10. Let v be r(-3). Let i = v - -7. Calculate the remainder when 5 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**2 - 11*w - 6. Let u be p(-17). Suppose -4*v - n + 5593 = 0, 533 = 3*v + 5*n - u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2 + -2)\/(-1). Suppose 3*m + 1 = -c - 6, -n*c = 4*m + 6. Factor -11*q + 39*q - 2*q**c + 12 + 12 + 6*q**2.\nAnswer: 4*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k + 93*k - 2*a + 824 = 0, 3*a + 432 = k. What is the remainder when k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3\/4 + 129*t**2\/4 + 745. Factor f(p).\nAnswer: 3*p*(p + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 + n**2 - 5*n**2)*(2*n - 5 + 5) + 4766*n**2 - 4764*n**2 - 259 + 16*n**3 - 20*n**3 as w + d*n**2 + h*n + j*n**3 and give w.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.6 minus 6143?\nAnswer: -6013.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -416716.8579 to the nearest one hundred.\nAnswer: -416700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g**2 - 1. Let u(k) = 11*k**3 + 16*k - 14. Let z(f) = -17*f**3 + f**2 - 25*f + 22. Let b(t) = -8*u(t) - 5*z(t). What is b(x) + 2*r(x)?\nAnswer: -x**3 - 3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:46 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4904 is divided by 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1184*y**2 - 551*y**2 - 634*y**2. Let m(x) be the third derivative of -137*x**5\/60 + 20*x**2. What is h(m(i))?\nAnswer: -18769*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {f: 1, r: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*g - 917*g + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -6792?\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -78.9 (b) -0.01 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 49*p**3 - 4*p**2 + 8*p - 5. Let i be z(1). Let j(c) = 233*c**3 - 2*c**2 + 2*c - 1. Let h be j(1). Suppose -i + h = 4*n. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9943 - 9943.4. What is the biggest value in 32, -18, a?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2407, 4815, 7223, 9631, 12039?\n\"Answer: 2408*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/2 - d**4\/6 - 5*d**3\/3 = 0 for d.\nAnswer: -1, 0, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 115828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 - 7012*y\/7 - 7008\/7.\nAnswer: -4*(y + 1)*(y + 1752)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 561, 931, 1309, 1695?\n\"Answer: 4*f**2 + 358*f + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwllwlllllwwllllwl. What is prob of sequence lw?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5942 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13897*r**3 + 149*r**2 - 667*r**2 + 2 - 6948*r**3 - 6951*r**3.\nAnswer: -2*r**3 - 518*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340302709?\nAnswer: 3340302709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/6)\/r)\/r**(4\/3))**(-2\/33)*(r**(-1))**(-29)\/(r**2)**(-49) assuming r is positive.\nAnswer: r**(4196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 0 (c) -12 (d) -0.03 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 929119871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f + 3. Let c be w(-3). Let l = -3 + 12. What is the smallest common multiple of 5*3\/c*4 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 6048?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 626062603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27925.257 and -0.3?\nAnswer: -8377.5771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13311*i + 10742*i - 8965*i.\nAnswer: 15088*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11.8. Is l greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15281.9 - 15281. What is the closest to 1 in -0.5, 0, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 915, -82, -59, -5.\nAnswer: -82, -59, -5, 3, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1087 - -1121. Solve -i*f = -24*f - 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((2 + sqrt(539))*-1 + sqrt(539) - (sqrt(539) + 1 + 1 + sqrt(539) - sqrt(539))) + 5)**2.\nAnswer: -3240 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -80*u - 69. Let o(y) = -80*y - 69. Let k(i) = 7*o(i) - 6*p(i). What is the first derivative of k(x) wrt x?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/4, -1\/2, 1302, -1\/19 in descending order.\nAnswer: 1302, 21\/4, -1\/19, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -13. Suppose -157*b + 153*b - 1780 = 0. Let d = r - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**5 - 4*u**4 + 4*u**3 - 31*u - 4. Let s(i) = i**5 - i**4 + i**3 + i - 1. Let f(k) = -q(k) + 4*s(k). What is the second derivative of f(w) wrt w?\nAnswer: 340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 6. Let w be i(-5). Let y be (3 + 25\/(-10))*8. Suppose -v = 4*l - y*v - 8, 8 = 4*l + 3*v. Which is greater: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 6*g**2 - 9*g - 10. Does 17 divide x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, r: 2, k: 1, m: 10, x: 1}. Give prob of picking 2 m and 1 r.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**10\/60480 - p**8\/6720 + p**6\/1440 + 3*p**4\/2 + 15*p. Let i(l) be the third derivative of k(l). Factor i(d).\nAnswer: d*(d - 1)**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 721 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 16 = 2*x, 2*h - 5*x = -21 - 15. Let u(c) = 6*c + 44. Let s be u(h). What is the closest to -2 in 5, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**2 + 695395*v - 695395*v.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1, -5, -8.8, -1\/6 in increasing order.\nAnswer: -8.8, -5, -1, -1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 120*m**4 - 3*m - m + m + 3*m - 41 wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/3*(10 + -1). Let o = -10 + s. Solve -2*t = 3 + o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/12728661 and -83\/21?\nAnswer: 89100627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**0*o\/(o*o\/(o*o**(-2)*o)*o))**15 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/(3376\/2532)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2824, 11322, 25486, 45316, 70812, 101974, 138802?\nAnswer: 181296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-64153936)\/12110)\/((1\/(-3250))\/((-1)\/4)). What is t rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37403*b - 37405*b + 52*b**3 - 51*b**3.\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2. Suppose -2*f - 3*f + 15 = 0. Suppose f = 3*q - 3. Let o(x) = 3*x - q*x + 3*x - 2*x. Determine a(o(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - j - 4*j**3 + 4*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = t + 3*w + 8, -2*w = -2*t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 + 3*n**2\/2 - 3*n + 1. Calculate the least common multiple of 7 and h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 5*q - 10. Let j = 4 + -11. Let u be a(j). Suppose -p - 24 = -5*k - 6, u*p - 5*k = -12. Calculate the greatest common factor of 18 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {y: 3, q: 1, a: 4, h: 2, g: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3938)\/10 - (7 - (4 - -6)). Let c = t - -392. Factor -2\/5*o**2 + c*o + 0.\nAnswer: -2*o*(o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/4)\/(-6 + 3). Let q be (-4 - y) + (-3 - 0 - -1). Put 4, 3, q, 1 in descending order.\nAnswer: 4, 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**4 - 4015*d - 8*d**3 + 2*d**3 + 4066*d wrt d.\nAnswer: -60*d**2 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, -730, -10, 4 in descending order.\nAnswer: 4, -10, -150, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -504, -520, -542?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.39 - -6.31. What is the second smallest value in -2\/5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1156.\nAnswer: -5\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 12. Determine a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(-7)\/x*x*x*x)\/x))\/x*x**2)\/(((x*x*x\/x**2*x*x)\/x)\/x*x)**(2\/39) assuming x is positive.\nAnswer: x**(269\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)*f\/f**(-2\/5))**(-8\/11))**(-2\/177) assuming f is positive.\nAnswer: f**(16\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -0.234, 6\/13 in increasing order.\nAnswer: -0.234, -0.2, 6\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-2*d**3 + 4*d**2 + 68 - 3*d - 75 - 2).\nAnswer: -2*d**3 + 4*d**2 - 3*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 + 66. What are the prime factors of f?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 + 0*x**2)*((x**2 - 1 + 1)*(-2*x - 2*x + 2*x) + (-7 + 7 - 4*x**2)*(-275 - 4*x + 275) + 2*x**3 - 2*x + 2*x).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51477 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 1. Let x(k) be the third derivative of k**4\/12 + k**3\/6 - 114*k**2. Let z(g) = g**2 - 3*g - 2. Let p be z(2). Determine p*v(q) + 5*x(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -166*g + 2655. Let n be t(16). Put 5, 16, n, 2, 1 in descending order.\nAnswer: 16, 5, 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = 23*z - 68*z - 3*y + 29, -2*z + 453 = 41*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 19\/143 (c) -0.5 (d) 3 (e) 1 (f) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 - 2*v - 1. Let i(d) = 20*d**2 - 5*d - 4. Give -4*i(c) + 11*n(c).\nAnswer: -3*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-40)\/15. What is the first derivative of -g**s + 19*g**2 + 11 - 3*g**2 - 10*g**2 wrt g?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = -5*p, w - 23*p = -27*p - 35. Put 21\/5, -4, w in descending order.\nAnswer: 21\/5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 1, -1, -2, -2\/9 in decreasing order.\nAnswer: 1, -2\/9, -1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/6 + 581*d**2\/6 + 186400*d - 1121850 = 0.\nAnswer: -810, 6, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -k - 3*x, -10*k + 6*k - 3*x - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 131694*p**2 - 263379*p + 131688 = 0. What is p?\nAnswer: 1, 43896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -12. Let i = q - 21. Is i at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/7)*a)**(-43) assuming a is positive.\nAnswer: a**(-430\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 8 = 4*z, -z + 3043 = -4*a + 3026 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27800)\/(-22) - 8\/8. Let u = p + -1261. Let f = -2294\/9 - -254. Find the common denominator of u and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3968468 is divided by 984.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 52 + 18 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 5148875.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5\/15 + 74*r**4\/5 - 1848*r**3\/5.\nAnswer: 2*r**3*(r - 21)*(r + 132)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -158. Let y = -32 + p. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 13*b - 6*b + (b - b + 2*b)*(-3 - 2 + 4) to g + z*b and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*q + 232, 20 = 3*k + 2*k. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142411735289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 982 = 4*i, 0*i + i - 3 = 0. Let o = 560\/3 + r. Calculate the common denominator of o and (-53)\/(-2)*2\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by -31.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 16. Let f = -19 + 10. Let n be y(f). What is the units digit of (3\/n)\/((-17)\/(-34))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7190350.\nAnswer: 2, 5, 143807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-3876)\/42 - (-2 - -3). Let t = -95 - a. Let 4\/7 - 2\/7*s + t*s**3 - 4\/7*s**2 = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680022 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 73*t + 69*t - 2566 = 0, 2560 = l - 3*t. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in 0.4, -2\/4161, -89, 3\/2?\nAnswer: -2\/4161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d + 3. Let m be y(-3). Let w(f) = -6*f + 56. Let r be w(7). What is the highest common factor of r and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -410 - -413. Put n, 2, 1, 21 in decreasing order.\nAnswer: 21, n, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 20. What is the smallest common multiple of ((-24)\/(-39))\/(-4) - 60\/(-52) and h(-9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x + 78. What is the remainder when 105 is divided by z(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/106687 + 13762507\/6187846. Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/6*(-24)\/16. Suppose -n + 15 = m*n. Suppose k + n*f - 24 = 0, -2*k - f = 2*k - 140. Solve 0 = 5*i + 11 - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1056, 8, 0.5, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/18963 and -13\/387?\nAnswer: 18963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0 (c) -4 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-36)*3)\/((-6)\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*b + 134*b - 55565 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -57. Suppose 3*z + l - 18 = 4*l, -4*z - l = -19. Suppose -z*o + s = -45. Solve 1 - o = -4*g, 2*x = 5*g - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 6. Let o(d) = d - 2. Let g(c) = 9*c - 48. Let b be g(5). Let u(f) = b*o(f) - a(f). Let r(x) = -4*x**2. Determine r(u(s)).\nAnswer: -484*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04867 != 48.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 - -13) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:27 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5 + sqrt(52) - sqrt(1300)*-1) + sqrt(468)*-6)**2.\nAnswer: -240*sqrt(13) + 7508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, -0.5, -3\/811?\nAnswer: -3\/811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2 - p + 45. Let j be v(0). Suppose 0*w + 5*w = j. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*c - 4*s, 5193*c - 20 = 5190*c - 2*s for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.11398\nAnswer: 0.5699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 4*v**2 + 19*v + 8. Does 86 divide p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 157, -2\/9, 1\/6, 3\/5.\nAnswer: -2\/9, 1\/6, 0.5, 3\/5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 38 = -4*n, 5*c + 3*n + 6 + 50 = 0. Suppose -5*y + 15 = 0, 0 = -2*s - 4*y - 346 + 72. Let v be (-26)\/s + 246\/(-22). Is c at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, 112, 2 in descending order.\nAnswer: 112, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -41*a + 6. Let m be f(5). Let s = -117 - m. Suppose 3*b - 8*b - 3*j = -117, 88 = 4*b + j. Calculate the remainder when s is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/13090 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -19, -17, -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o + 55 - 19\/18*o**2 + 1\/27*o**3. Suppose i(x) = 0. Calculate x.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8*m - 88. Suppose 5*t - 45 = 5*v, t + 3*v = 3*t - m. Is t\/20 + (-247)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*v - 10798 = 188*v + 1324 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -36*v**3 - v**2 - v. Let u be g(-1). Suppose 2*o - 3*t + 19 = 0, -3*o - u = -0*o - 2*t. Let m = o - -46. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y - 25*y + 1712*y**3 + 3086*y**3.\nAnswer: 4798*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2594904 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2 - -6 - 4. Find the third derivative of 9*q**2 - a*q**5 - 5*q**5 + 0*q**5 wrt q.\nAnswer: -600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*u - 5*i, 6*i = 2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/5)\/i*i*i**(-8)*i)\/(i*i\/(i**(2\/5)\/i)*i)**(4\/3)*(i*i\/i**2*i)**(-8)\/(i**(-7)*i*i*i\/i**(4\/7)) assuming i is positive.\nAnswer: i**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y**2 - 4*y + 14. Let b be h(-6). Suppose 2*f - 28 - 11 = i, 4*i + b = f. Calculate the remainder when f is divided by -9*((-4)\/6 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1933 by 4424.\nAnswer: 1933\/4424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.69 + -1.29. Let c = 8.399376 - b. What is c rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3\/3 - 6*b**2 - 14*b + 172. Determine m(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951176 is divided by 661?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.22 and 1251.7.\nAnswer: 1252.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 47*r = 0. Solve -5*k + y = -3*y - 30, r = 2*k + 4*y + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -7. What are the prime factors of (n\/16)\/(4\/(-16))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10682023 * -5.\nAnswer: -53410115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -4 - (29 + -2 - 39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -56, 4 in descending order.\nAnswer: 4, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*7*2. Let d be (-2)\/7 - 114\/k. Suppose 2*z + 4*f = 22, 4*z - 5*f + 6*f = d. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f - 2*j + 126, 0 = 3*f + 5*j - 117. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120005\/24 - 5002. Calculate the common denominator of 97\/198 and d.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 + 136 - 518 = -16*y + 454 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from vvvvhhllhhvlvhhlhhhh.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1111202000102?\nAnswer: 1111202000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -4 - (0 - -1) - (-17 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + c - 372, -7 = 3*w + c - 231. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 - 8*g - 5. Suppose 4*c + 36 = 4*k, -3*c - k - 1 = 10. Let j = c - -14. Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/3 (b) 23 (c) 0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -73. Calculate the remainder when o is divided by 294\/8 - (-3)\/14*742\/636.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1327, -1230, -1003, -598, 33?\n\"Answer: 8*d**3 + 17*d**2 - 10*d - 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -10, -20, -32?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a factor of 22689900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 4*c**2 + 10*c + 1. Let x(h) = 3*h**3 + 3*h**2 + 8*h + 2. What is -4*t(f) + 5*x(f)?\nAnswer: 7*f**3 - f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2517771\/70 - -255996\/7. Let a = -595 + s. Calculate the common denominator of -71\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 2*a - 1. Let r(j) = -3*j**3 - 12*j**2 - 6*j + 2. Let q(m) = 3*o(m) + r(m). Let s(z) = -2*z**3 - 3*z**2. What is 3*q(b) - 2*s(b)?\nAnswer: -5*b**3 - 3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 888*i**2 - 167*i - 678. Is b(-4) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1088) + 2) - sqrt(136)\/(sqrt(96)\/(sqrt(60)\/sqrt(5))).\nAnswer: -41*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m - 11. Suppose 4*d + 44 = 3*v, 3*d + 48 = -2*d + 2*v. Let j be w(d). Let b(x) = -139*x. Is b(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 5 + 27)*(-2*k**4 - 2*k**4 + 5*k**4 + (2*k**2 + 2 - 2)*(-2*k**2 + 0*k**2 - 2*k**2)) + k**4 + 0*k**4 - 4*k**4.\nAnswer: -304*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 72\/5 of a centimeter?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 2 - (3 - (8 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 613320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 76*o\/3 - 1444\/3.\nAnswer: -(o - 38)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/10 + 3)\/1. Let x = 1699 + -6799\/4. Suppose 2*y = -2 - 0. Which is the nearest to y? (a) x (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136134085 = 50*u + 71958516 - 36392601. Round u to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 3*m - 15 = 32*i, 0 = -3*i - m + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -95. Let u(t) be the second derivative of -t - 1\/6*t**3 - 1\/2*t**2 + 1\/12*t**h + 0. Give u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + (13 - 6 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112) + (sqrt(112) - ((sqrt(112) - (sqrt(112) + 1 + sqrt(112)))*-6 + sqrt(112))) + 3*(sqrt(112) + 2)).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/2, 0.2, -1267, 4, -12\/71?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -4*s. Suppose 2*b - 23 = 3*k, k + 0*k - s = -2*b. What is the remainder when 6 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1\/45134?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*n - 21, -2*s + 2*n - 445 = -463 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29 + (-11 + 3 - -3). Suppose 2*f = -q + 28. Solve -9 = -f*u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*v + 2*j, -3*v + 5*j = -0*j - 57. Let z be 38\/(-12) + (-20)\/v. Are z and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706506*g - 1 - 3 + 4 + 0 + 706544*g.\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0*m + m)*(-448 - 2152 + 5475) to the form v*m + b and give v.\nAnswer: 8625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let q be (-29)\/62 + 2\/4. Let d = 159\/124 - q. Sort -5, d, u in decreasing order.\nAnswer: d, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 + 255 - 466 + 22*i**3.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 - (-190)\/10) + 1 + 82. Solve -31*g + w*g = -58 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -4, -81.\nAnswer: -81, -4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 480957 + -482503.476. Let c = 1.424 - h. Let r = -1621 + c. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*n + 10, 3*q - 14*n - 15 = -17*n. What is v in 0 + q*v + 15\/2*v**4 + 9\/2*v**5 - 3\/2*v**2 + 3\/2*v**3 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*t**2*u**2 - t**2*u - t*u**2 + 5*u**2 - u wrt t.\nAnswer: -60*t*u**2 - 2*t*u - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Let p(j) = -2*j**2 - y*j**3 + 4*j**3 - 1 - j**3. Suppose -2*n + 2*s - 4 = s, 0 = -s. Give p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -35\/21703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 + 13490*n**3 - 6084711*n**2\/4.\nAnswer: -n**2*(n - 53847)*(n - 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -298206 divided by -6\nAnswer: 49701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhk when three letters picked without replacement from hhkhc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:05 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1244290945*o**4 + 3626049765*o**3 + 317412270*o**2 + 9141660*o + 87480.\nAnswer: -5*(o - 3)*(629*o + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3982289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10.6. Let i = h - 21.4. Let j = -15 + 14. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5928 and -37\/51168.\nAnswer: 972192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1609 or 1562?\nAnswer: 1609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 368*k + 1429. Calculate o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/14)\/((-21)\/14). Suppose 0 = -19*f + 12*f + 35. Suppose 31 = f*s + 16. What is the fourth biggest value in s, -0.2, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.025? (a) 2\/7 (b) 0.2 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 h when four letters picked without replacement from hmlvttmavvtvaatml.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 32 = 0, -1665*h + 3326*h = 4*b + 1659*h + 36 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 725, 2150, 4539, 7898, 12233, 17550?\nAnswer: 23855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x - 30 = 3*p, 5*x = -3*p - 18. Let y(i) = i - 9. Let n(l) = 6*l - 46. Let r(g) = p*y(g) + 2*n(g). Calculate r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 38. Solve -15 = y*m - 4*k + 3, 4*m - 5*k = -27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*z - 72 = 0, -68 = 51*c - 55*c + 5*z. What is the greatest common divisor of 162 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*p + 5633, -3*d + 1623 + 632 = 2*p. Let i = p + -791. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2)*h)**9)**(-17\/3) assuming h is positive.\nAnswer: h**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 71 (c) -82.4 (d) -0.1 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = m + 3*m. What is the least common multiple of 18 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 13. Suppose 8*d - 2*d = -42. Let i(a) = 4. Calculate d*i(o) + 2*u(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 13*x - 99. Determine o(0).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642 - 132*x**3 - 3283 + 134*x**3 + 1641.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*t = -6, 4*f - 6 - 12 = -2*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/40 + w**4\/24 + w**3\/6 - w**2. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2541 is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -300*g - 20. Let y(h) = -3. What is -6*y(p) + z(p)?\nAnswer: -300*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/5*435\/522*17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, -8, 1, 341?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0, -0.64, 77, -7.\nAnswer: -7, -0.64, 0, 2\/7, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*w - 650 = 0, w = 2*k - 3*w - 258. Let u(o) = -o + 13. Let t be u(9). Suppose -t*j + 9 = -k. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/39*(-5)\/(-5))\/(2\/16)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4780 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -12 - ((-40 - -31) + (3 - 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1010056 + 1063?\nAnswer: -1005663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2607063?\nAnswer: 3, 869021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22791583 to the power of 1\/2, to the nearest integer?\nAnswer: 4774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*c - 5 - 2, -5*c = -j + 14. Let a(y) = 14 + 11*y + 2*y**2 + y**2 - 2*y**2. List the prime factors of a(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*t**6 + 10390*t**5 - t**3 + 3431918*t**2 + t wrt t.\nAnswer: 1800*t**3 + 623400*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09663 - -19.09663. What is the fourth biggest value in o, -2, -3, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 12*c - 5. Let g be s(-11). Let h(l) = -l. Let k(f) = -7*f. Let j(x) = g*h(x) - k(x). Let d(p) = -2*p. Calculate j(d(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.3. Let r = -9 + 9. Let w = r + f. What is the third smallest value in 5, w, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 575, -15, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 3) + -11 - -3. Let j be 3\/3*15\/(-5). Sort j, -1, w in increasing order.\nAnswer: w, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.09 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by (76 + -19)*(-1)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325 by -2.\nAnswer: 325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3, -10, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 13, f: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 4.68. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76222248 less than 0?\nAnswer: -76222248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.9. Let z = -0.1 - w. Let d = z - 0.3. Sort d, 1, -2\/13 in ascending order.\nAnswer: d, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (20 - -32)) + -1 + 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/21 - -43\/42. Let f be 1\/(-2)*(-5)\/(-5). Which is the closest to 3? (a) f (b) 3\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.060509 + 4327.84.\nAnswer: 4327.779491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812\/35*10\/4 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 3*p + 0*p. Let i(z) = 4*z. Determine c(i(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -57?\nAnswer: 40\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121040 + -72879. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -38*x + 16. Let r(f) = 44*f - 16. Let h(m) = 7*c(m) + 6*r(m). Let w be h(8). Solve -7 = -y - 2, v - 2*y + 5 = w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -576, -1155, -1738, -2325, -2916?\n\"Answer: -2*u**2 - 573*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzyyzyzyzzzzzz. What is prob of sequence zz?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4169*h**3*m**2 - 26*h**3*m + 466*h**3 - h**2*m**2 + 2*h**2 + 214*h*m + 10*m**2 + 1317 wrt h?\nAnswer: -25014*m**2 - 156*m + 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*k**4 - 3\/2*k**2 - 1\/4*k + 0 - 2*k**3 + 9\/4*k**5 = 0. Calculate k.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000771 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 37 - 205 = 0. Suppose -2*m - r - r = -148, -4*r - 201 = -3*m. Calculate the remainder when m is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/5*(-350)\/15. Is (1 - -2) + h\/(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 410949.\nAnswer: 410949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3977 + 3981. Let a(i) = -i**2 + i + 1. Let z(m) = -3*m**3 + 10*m**2 - 4*m - 4. Calculate x*a(o) + z(o).\nAnswer: -3*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 12551.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/(20\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - m + 19 = 2*m, -5*q - 15 = 5*m. Let a(y) = 6*y - 5. Let d(o) be the first derivative of 11*o**2\/2 - 9*o - 1. Determine q*d(x) + 7*a(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 - 6576\/156. Let t = w - -44. Solve -3*a = -8 + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**(-2\/27)\/r)\/(r**(-2))**14 assuming r is positive.\nAnswer: r**(700\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 6. Let f(w) = -2*w**2 - 5*w + 4. Let j be f(-4). Let n be a(j). Suppose 0 = -4*r, -n*s - 5*r + 12 = -4. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5500000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w - w + 1 - 6*w - 4*w**3 in the form k*w**2 + l*w**3 + d*w + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**3 + 298*a**2 + 1320*a + 21. Calculate k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1dfa74 (base 16) to base 11\nAnswer: -1122095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -396*t**2. Let x(k) = 20*k**2 - 20*k. What is x(h(j))?\nAnswer: 3136320*j**4 + 7920*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 9) to base 13\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3 = -2*s, 3*u - 468 = -5*s - 466 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -644, 4, 2, -3.\nAnswer: -644, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 63 (b) -19 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -707349, 2, -3, 5, -7 in increasing order.\nAnswer: -707349, -7, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350712580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 95.08 * -132796\nAnswer: -12626243.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + y**2 - y**2 + (y - 3 + 3)*(3*y + 0*y - 4*y) + 2*y**2 - 2*y**2 + 2*y**2)*(23 - 21 + y + 7*y) to the form q + n*y + u*y**2 + r*y**3 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n - 3*n**2 + (0 + 4*n + 0)*(2 - 2 + 2*n) - n**2 - 2*n**2 + 2*n**2 + 64*n**2 - 13*n**2 + 29*n**2.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*-3 + 0)\/1. Let s be (3\/(-2))\/((-7)\/(-14)). Let o = -9 - s. Is o equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let y = 4.05 - 0.05. Let w = y - 0. Sort n, w, 1\/6 in ascending order.\nAnswer: n, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(99) + 1 + 5 - (6*(sqrt(99) - sqrt(99)*2) - (-1 + sqrt(99))*3)) + -1)**2.\nAnswer: 16920*sqrt(11) + 358609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12549817 to the power of 1\/2, to the nearest integer?\nAnswer: 3543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 0*v - 121 + 3.\nAnswer: 2*v - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11893*v + 1339876 - 257613 = 0 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926971001 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 59.0056. What is c rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + s - 2*s)*(1 - 3 + 1) - 5*s + 5*s - 3*s + 6*s - 3*s + 0*s)*(5592 + 2*s**2 - 3023 - 3079) - 2*s**3 + 2*s**2 - 2*s**2.\nAnswer: 2*s**3 - 1020*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*p + 58, -153*p = -4*j - 157*p + 80. Solve -j = -6*a + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/60 and 115\/162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixd when three letters picked without replacement from {p: 4, i: 2, l: 1, d: 4, x: 1, f: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 - 1866*k**4 + 344*k**4 + 685*k**4 - 44*k wrt k?\nAnswer: -10044*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 c when four letters picked without replacement from zczczcczzzzczzzzzzz?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 752773242885 and 0.5?\nAnswer: 752773242884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x + 4*x + 0*x**2 + x**2 + 2. Let w be y(3). Suppose 0*m - 3*m = 4*p - 33, -4*p = w*m - 22. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/16524 or 1?\nAnswer: 29\/16524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 - 8*k - 1. Let u be i(-6). List the prime factors of u + (-1 - 9\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 987 and 21245.\nAnswer: 2995545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.1, 2\/1273, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 1986 = r, -2*r + 5*b = -4037. Suppose -2*v + r = 2*s, -2*s + 4*v + 1023 = -s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10866 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10918344*s**3 - 7685342.\nAnswer: 32755032*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - x + 3*x)*(19*x**3 - 41*x**3 + 27*x**3) as u*x**4 + c*x**2 + b*x**3 + l*x + h and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:44 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q - 7. Let w be j(-5). Let c = w + 7. Suppose 5*p = -2*a - 17, a + 2*p + 7 = -c*a. Sort 0.3, a, 1 in decreasing order.\nAnswer: 1, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -2*a, -3*a + 4*h = -5*a - 16. Let x = a - -6. Which is smaller: x or 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*y + 120 = 103*y. Let s = -38\/3 - -13. Which is the biggest value? (a) 0.1 (b) s (c) -14 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.34? (a) 0.4 (b) -146108 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11708.2 from 4.3.\nAnswer: -11703.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -27, 230, -7, 5, -3 in decreasing order.\nAnswer: 230, 5, 2, 1, -3, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, -123?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 + 150.97. Let i = -4.1 - l. Let j = i - -1.07069. What is j rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -94*d - 448 - 850 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v - 3. Let m be z(-5). Let d be (m\/(-27))\/(7\/(-3)). Is -1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 34. Suppose l + 30 = 2*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(1\/12)\/(i\/(i*i*i*i**(-2)*i)*i*i\/(i**5*i)))**11 assuming i is positive.\nAnswer: i**(2651\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149884\/101 + 2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21421\/5010 - 3\/334. What is the common denominator of -59\/3 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v - 7*v)*(2*v**2 + 1 - 1) + 4*v**2 - 4*v**2 + 2*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12670144507 + 4527466227. Let h = f - -8142678338.00000063. Let n = -58 + h. What is n rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 239. Calculate the remainder when a(36) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47512, -4, -1, -3, 1624 in descending order.\nAnswer: 1624, -1, -3, -4, -47512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18042 - 8034. Let u = o - 10007.1842. Round u to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 353*y - 45. Is i(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by -70?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 336 + -16684?\nAnswer: -16348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.5. Let t be (0 + 1)*3\/(-6). Let j(p) = 9*p**3 - 855*p**2 - 8*p + 757. Let n be j(95). Which is the nearest to 2\/7? (a) q (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 7*h**2 + 191. Let r(p) = 4*p**2. Determine r(c(v)).\nAnswer: 784*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44071 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564230 plus 40?\nAnswer: 564270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 2. Let v be w(-2). Let y be v\/(-6)*(-60 - 6). What is the greatest common factor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53\/5 (b) -12 (c) -6 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-7))\/(7*12\/(-588)). What is the hundreds digit of k\/((-4)\/(-14)) - -494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7309694\/3 or -2436564?\nAnswer: -2436564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 99 - 47 - 36 = 43 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 - 7*t**2 - 15*t**4 + 14*t**4 - t**3 as j*t**2 + u*t**4 + b*t + n*t**3 + p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + v - 1. Let t(q) = -4*q + 1 + 3*q + 2*q. Let m be t(1). Let z(g) = g**3 + 1. Let x = 35 - 33. What is m*z(p) + x*c(p)?\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*l**2 - 33 + 13*l**2 + 15*l**2 + 2*l**3 in the form m*l**3 + a*l + c + h*l**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*j = -4*j - 70, -3*j = 5*u + 70. Let b be (2\/(-3))\/(7\/u). Sort b, 1, 1\/5 in descending order.\nAnswer: b, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5125945 is divided by 252.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54351 = 3655*u + 474 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c66e + 3f5?\nAnswer: 1ca63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/12*3\/1. Suppose -w*z - z + 20 = 0. Let v = -1 - -3. Solve 0 = -3*n - v - z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:45 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -33. Let k(w) = 19*w**2 + 28*w**2 - 2 + 26*w**2. Is k(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/32 + 5)\/(99\/12 + -4).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*-4*3. Let l be (-2)\/(g\/23)*4. Suppose -h + l = h. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50943 - 9040*w - 11085*w - 50943)*(0 - 5 + 3).\nAnswer: 40250*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3\/6)*-24. Solve -4*p = 3*o - 2 - h, -4*o = p - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 - 6 + 19 - 17 + 0*u**2 in the form b*u + k*u**2 + m and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -5*c, 0 = -2*i + 2*c + 2*c + 2. Let q = 11 + i. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2 + 1 + 2*h**2 + (-151 + 151 + 13*h)*(2*h - 3*h + 2*h).\nAnswer: 15*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235.7984 + -0.3016. Let q = h + 236. Let m be (-10)\/(-3) - (-2)\/(-6). Which is the second biggest value? (a) m (b) q (c) -2 (d) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -12*q + 10. Suppose -3*w + 2*w = -q. Let u = 16 + -8. Solve 2*p + w = 0, d + 2*p - 7*p - u = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9))**(-13\/3)\/((r**(-2)*r*r)\/(r*r**(-3)*r))*((r*(r*r**2*r*r)\/r)\/(r**(2\/13)\/r))\/(r**(-1\/3)\/(r*r**(-2\/9))) assuming r is positive.\nAnswer: r**(2429\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159082091 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*b**2 + 0*b + 0*b - 649*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 - 4*t + 4. Let z be u(7). Suppose 3*h - 9 - z = -4*p, -2 = h - 2*p. Solve h*k + 15 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81782348 is divided by 432.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*((-9559)\/4740)\/121?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 18 - 29 + 121 - 7*n. Let i be u(0). Let y = 130 - i. Solve -q = -5*q - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k = -69*k + 20. Suppose 2*v = -v - 4*o - 3837, k*v - 2*o = -6421. Let t = v - -2250. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/15 + ((-20)\/(-3))\/4. Let l(x) be the second derivative of 0 - 2\/3*x**4 - 7*x + 0*x**3 + 1\/2*x**t. Differentiate l(p) with respect to p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*f + 2*f. Suppose 3*n = -0*n. Suppose n = -u - 5*w - 18, -w + 3*w = 2*u - 12. What is the smallest common multiple of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 616 - 6*c - 270 - 257. Let m(z) = 2*z**2. Give l(m(u)).\nAnswer: -12*u**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*2*sqrt(30))\/(3*2*sqrt(1210)).\nAnswer: 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -65531457.86.\nAnswer: -65531460.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 10*y**2 + 2*y + 9. Let d be r(-10). Let p = d - -10. Let x = p + 50. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r + 12. Let p be l(-7). Suppose p*c - 4*a - a = 80, 3*c + 4*a = 48. Calculate the remainder when 45 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5396*f**2. Let q(l) = 197*l**2. What is q(n(r))?\nAnswer: 5736012752*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w + 5. Let d be (-3 + 1)\/(w\/(-36)). Calculate the common denominator of 43\/20 and ((-69)\/d - 2)*1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*a - 185. Suppose -u + a = u. Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -395561.1?\nAnswer: -395561.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-152)\/12. Suppose -21 + q = -c. Solve 3*g - 10 - 3 = c*o, 3*o - g = -16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27367 + -54367. Let x = -27004.3941 - s. Let g = x - -4.4. Round g to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45331 + 3?\nAnswer: -45324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -8*i - 2\/3*i**3 + 255 + 3\/2*i**2. What is o(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 11\/8 - -2. Suppose -136 = -4*w - 120. Suppose -31*o + 26*o = w*m + 20, 5 = -o - m. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + 2*m. Let p(d) = d**3 - d**2 - d. Determine 2*p(x) + v(x).\nAnswer: 2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v - 9. Let j be p(16). What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 24. Let p = 8\/7 - 26\/35. Which is the closest to 0.1? (a) 0.2 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1225055315*r**4 - 279477496?\nAnswer: 4900221260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121183\/6009 - 1\/4006. Find the common denominator of -22\/7 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 281 = 897. Let t = -211 - j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 3*t - 15 = 0. Let q be (-44)\/14 - t\/(-21). What is the remainder when (-1281)\/(-21) - (q + 1) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2466095*6\nAnswer: -14796570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436 = 48*u - 4*k, 2*k - 9 = u + 2 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8)\/h**(-3))\/((h**(1\/2)\/h*h*h)\/h*h*(h\/h**(3\/7))\/h) assuming h is positive.\nAnswer: h**(87\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/7)\/z)**(12\/7) assuming z is positive.\nAnswer: z**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((5*(sqrt(119) - sqrt(119)*-1))\/((sqrt(7) - (sqrt(7) + sqrt(112)))*-4))**2 - ((sqrt(833) + -1)*-5 - -2*(-1 + sqrt(17))*-4).\nAnswer: -535\/64 + 43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/(-16) + -4)*(0 + 0). Let d(f) = -4*f**2. Let y be d(1). Sort q, 5, y in increasing order.\nAnswer: y, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361 (base 9) to base 2\nAnswer: 100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, s: 5}. What is prob of picking 1 s and 2 t?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 5.52767\nAnswer: 1.105534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108367847.\nAnswer: 7, 31, 499391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/3*-3*-1. Let d = 21386 - 149700\/7. Put 14, d, l in descending order.\nAnswer: 14, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(130\/12)*(-1750)\/150\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-5))\/((-4)\/(-20)). Let c(d) = -2*d**2 - 4*d + 1. Let g be c(-5). Let t = -21 - g. What is the greatest common factor of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 2*n + 12 = 0, 3*q = 2*n + 32. Solve 3*o + 6 = g - q, 0 = -g + 5*o + 28 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 689 - 686. Suppose 4*u - 4*d = 16808, -4*u = -6*u - m*d + 8399. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 - 4*c**2)*(3*c**2 + c**2 - 2*c**2) - 2*c + 0*c - 3 + 5 + 4*c**4.\nAnswer: -8*c**4 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -21. Let m be (31\/u - 26\/(-143)) + 1. Determine z, given that 0 + 2\/13*z**2 + 18\/13*z**m + 0*z - 12\/13*z**3 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ca (base 14) in base 2?\nAnswer: 101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -1 + -159 + 172?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 2*s**2 + s + 1. Let l be f(3). Find the third derivative of -17*b**2 - 63 - l*b**4 + 63 wrt b.\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1878, -1953, -2152, -2535, -3162?\n\"Answer: -10*o**3 - 2*o**2 + o - 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s**2 + 800*s + 55. Calculate the remainder when 14 is divided by p(-47).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16722307 divided by 6\nAnswer: 16722307\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssjssccvssjjccsj. Give prob of picking 1 c and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.616 rounded to one dp?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 940127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/50*(1 + 4). What is the smallest value in -0.3, -3, -1\/3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - 193012.3.\nAnswer: -193012.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g - 614. Give q(-35).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*f - 562 + 550, -5*c = 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 328*w - 116. Let f(z) = 5*z**2 + 278*z - 114. Let x(g) = -6*b(g) + 7*f(g). What is x(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*z - 46. Let c be 2\/6 - z\/3. Let j = 6 - c. Let u(n) = -5*n**2 + n. Give u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 106*h**2 - 59)*(2*h - 3*h**3 - 2*h**3 - 3*h**3).\nAnswer: 848*h**5 - 212*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13307 and 115766.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let n(d) = -5*d**a + 10 + 12*d**2 + d**3 + 0*d + 0*d + 2*d. Determine n(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 182*a**2 + 77*a + 77. Let h(w) = 35*w + 19*w + 39*w - 14*w**2 - 6 - 99*w. Calculate 6*d(j) + 77*h(j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-142)\/(-852)*(-9)\/(-24)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - ((-8 - -11) + (-65 - -23))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 take away 0.207?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, -79, -429, -1155, -2383, -4239, -6849?\n\"Answer: -21*y**3 + y**2 + 44*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 1. Let t(u) = -31*u**3 + u**2 - 2. Let i(d) = 2*f(d) - t(d). Find the third derivative of i(v) wrt v.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*t + 40 = -2*h, t + 4 = 0. Suppose 4*d - 1 = 7. Suppose -x = d*x - 18. What is the smallest common multiple of x and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + y = 35, 87 = -5*x + 183*y - 180*y for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/(-42) - 2)*3. Let s = -0.69217 - -0.79217. Which is the nearest to 0.2? (a) s (b) -3 (c) x (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*f - 112, 2*f + 23 + 21 = 2*x. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 43. What is q(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 4*p**2 + 2*p**2)*(-33*p**3 + 88*p**3 + 19*p**3).\nAnswer: 370*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1785.391 weeks to nanoseconds.\nAnswer: 1079804476800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -30, 949*s - 952*s - 15 = -5*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66863 (base 12) in base 3?\nAnswer: 20220120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1515 = -1515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**7\/56 - d**6\/4 - 9*d**5\/8 + 135*d**3\/8 + 243*d**2\/4 + 6*d - 6. Factor l(p).\nAnswer: -3*(p - 2)*(p + 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 69477706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -9*s + 10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*b + 8*b. Suppose b = x - 11. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*j - 899 = -886, -4*u + 21 = -j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -3b2bbcc?\nAnswer: -3b2bc04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.091 and 4117282.\nAnswer: 4117281.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 divided by 48?\nAnswer: -337\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 201. Let o(r) be the first derivative of p*r**5 + r - 86*r**5 + 28 - 79*r**5. Differentiate o(c) with respect to c.\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ebebeebooeb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + v + 0*v)*(2 - 2 + 2)*(146*v + 890*v - 43*v) to z*v**2 + w + n*v and give z.\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 11 + 4)*(2 - 5 + 2)*(-t + 0*t - t)*(-4 + 4 + 1) as z + l*t and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313101311 (base 4) to base 9.\nAnswer: 374528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -1)*15\/(-18)*-8. Suppose -c = -0*g - g. What is the highest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2) + (15 - 19) - -31. Solve -c = 5*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 - 4*p + 0*p + 8 - p**2 + 12*p = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 19*s**2 - 62*s + 334. Calculate w(22).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 950 - 904. Let r = 240 + -125. Calculate the highest common factor of r and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, -10, 6, 285, -2 in ascending order.\nAnswer: -10, -2, 1, 2, 3, 6, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2667.998368 - -2668. Round w to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 greater than or equal to -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10506778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4251429 and 312176358?\nAnswer: 2185234506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12605.\nAnswer: 5, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 362*d**4 + 5*d**3 + 683*d**2 - 5*d. Let i(n) = -n**4 + n**3 - n. Let f(a) = -g(a) + 5*i(a). Find the third derivative of f(z) wrt z.\nAnswer: -8808*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let q be 520\/1296 - (14\/(-21))\/(16\/(-12)). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.04? (a) 4\/11 (b) 0.3 (c) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/3 or 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-517*u**2 + 1304*u**2 + 4838*u**2)*(2*u - 2*u - 2*u**2).\nAnswer: -11250*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2460, -3725, -5806, -8709, -12440, -17005, -22410, -28661?\n\"Answer: -c**3 - 402*c**2 - 52*c - 2005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*c - 17 wrt c.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4810?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -6, -9, -973, -21 in decreasing order.\nAnswer: 3, -2, -6, -9, -21, -973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222803*d + 37705*d + 62796*d.\nAnswer: 323304*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let b be s(-5). Let y(f) = -2*f**2 - 3*f + 18. Let n be y(6). Let j = n + 74. Solve 3*i - b*u = -9, 3*i - j*i = 4*u - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 58, 62, 68, 76, 86, 98?\n\"Answer: j**2 - j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1443 by -481.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 300269113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8 + 61.\nAnswer: 65.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from lmlmmumkmmmummlm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 62.\nAnswer: 27\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24858 + -24860. Let i = 15.91 + 0.09. Sort -5, 0.4, i, s in descending order.\nAnswer: i, 0.4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259889 is divided by 893?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -52763\nAnswer: 17\/52763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -5550\nAnswer: -33300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*j + 277, 5*k + 271 = 2*j - 0*j. Suppose 0 = -4*y + j - 47. Suppose -b + 7 + y = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6427996 = h - 2*r, -3*h = -3*r + 5286713 - 24570707. What is h rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-205)\/220 + (-120)\/(-160).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/50752 and 23\/182?\nAnswer: 355264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 160, 137, 98, 37?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5, 4*o + 10 = -4*f + 2*f. Let t(m) = -9*m**3 + m**2 - 2*m - 1. Is t(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:01 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-2) - (-108)\/24. Solve 0 = -169*c + 171*c - n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i - 3. Suppose 0*g - 4*b + 30 = 2*g, -2*g - b + 18 = 0. Let n(p) = p**3 - 8*p**2 + 6*p + 3. Let v be n(g). What is the units digit of x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - -1c99?\nAnswer: 1cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192 and 1192?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 + x**4 + 3*x**4)*(-4*x - x + 4*x) + (4*x**2 - 3*x**2 - 2*x**2)*(-5*x + 5*x - 6*x**3) - 41*x + 41*x + 9*x**5.\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/8 + 85*q**2\/8 + 87*q\/4.\nAnswer: -q*(q - 87)*(q + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46781 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + o + 2. Let r be w(2). What is the closest to 0.4 in -3, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1200001?\nAnswer: -1200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -198? (a) -0.2 (b) -2\/13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80.85 + -81. Let i = 4.2 + -4.4. Which is greater: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o + 12. Let v be (2\/5)\/(o\/720). What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 11:25 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.65 - -33.75. Let y = -6899\/19 - -363. Let d = 28 + -29. What is the closest to r in 4, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1352192 and -300.\nAnswer: -405657600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002223 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 3)*(2*w**3 + 0 + 0) - 2*w**3 - 133 - 8*w**3 + 12*w**3 to the form u + a*w**3 + h*w**2 + n*w and give u.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*i + 181*i + 2 - 87*i + 6*i**3 to the form y*i**2 + n + j*i + d*i**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/210 and -109\/22.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 - 461*x + 96. Let t be b(-61). What is the greatest common factor of 775 and t?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Suppose -5*s + 0*i + 13250012 = 4*i, -n*s - 4*i + 10600012 = 0. Suppose -6*z + z - s = 0. Round z to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 - 3. Is 0 + v + 0 - -26 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 63, 124, 221, 366?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17235691 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 396*c + 55. What is the ten thousands digit of i(76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3118795 + -0.8\nAnswer: -3118795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111, -130, -163, -210, -271?\n\"Answer: -7*v**2 + 2*v - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.183393374 and 47095?\nAnswer: 47093.816606626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -57. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let p(o) = 0*o**2 + 3*o + s*o**2 + 3 + 1. Let k(a) = -a - 6. Let j(c) = -1. Let r(i) = -5*j(i) + k(i). Calculate -p(v) - 2*r(v).\nAnswer: -2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 685780.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6832209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12194700 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -72043*t**2 + 23*t + 20. Let x be o(-15). What is x rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33\/17 - 7\/170. Find the common denominator of o and (-42)\/56*116\/(-426).\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w**2. Let t(x) = -x**2 - 4*x. Let d(z) = 2*z**2 + 9*z. Let m(y) = -4*d(y) - 9*t(y). Give p(m(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + -21. Let l = p - -69. Let i = -0.07 + 4.07. What is the closest to l in 6, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 24*p**2 - 105*p - 882 = 0.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(1\/33)\/(g*g**(-7)*g*g**(-2)*g) assuming g is positive.\nAnswer: g**(200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1027567255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 - t**5 - 3*t**5 + (0 - t**2 + 0)*(0*t**3 + 2*t**3 + 0*t**3) + t**4 + 662*t**3 - 1295*t**3 - 4*t**5 + 674*t**3.\nAnswer: -5*t**5 + t**4 + 41*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/13? (a) 1254 (b) -608 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + (-4)\/6. Suppose u = 4*b + 18, 4*b - 2*b + 4*u = w. Find the common denominator of -2\/9 and -2*1 - (-7)\/b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:29 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-525) + 56\/(-75))*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -1\/933?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/45*-1)\/(3\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7111, -14240, -21371, -28504, -35639?\nAnswer: -42776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 7 + 4 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/9)*1. Suppose c*a = -a + 596. Suppose 3*v + 790 = 3*d - a, -v + 1 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9855 - 9852. Calculate the remainder when 226 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -63. Suppose -15*n = 159 + 6. Let a(w) = 2*w**2 + w + 4. Let j(k) = 5*k**2 + 3*k + 11. Determine n*a(l) + t*j(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/30 - (-2)\/4. Which is the biggest value? (a) x (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -187 - 8395. Let f = x + 1786. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1203, -1279, -1355, -1431?\n\"Answer: -76*m - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 = -4*k, w + 7*k = 4*k + 17. Find the third derivative of 9 - 7*i**w + 4*i**2 + 0 + 68*i**4 + 2*i**2 wrt i.\nAnswer: 1632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 9*w**2 + 26*w + 10. Let c be p(11). Let o be (3 + -4)\/((-2)\/244). Let h be 2\/7 + o\/14. What is the greatest common divisor of c and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from hfmhhmmmmhhmmrfhhh?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19662 and 2526567.\nAnswer: 5053134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 170512747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*j**2 + 856*j - 2?\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.077357cm to nanometers.\nAnswer: 20773570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -3*m**2 + 0 + 0*m + 7\/24*m**4 + 0*m**3. Let r(j) = 3*j - 5*j + 3*j. Calculate q(r(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-2154)\/(-27)) + 20\/(-90). Let g = 80 + o. Solve -g*t = -3*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -3, -5\/23, 2\/15, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(1\/(-3)) + -1. Suppose -z*t = 2*t + 3*k - 2, -5*k - 14 = -2*t. Solve -4 = -t*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 10*j - 7. Let k be s(11). Let y(c) be the first derivative of c + 0*c**3 + 2 + c**2 - 1\/5*c**5 - 1\/2*c**k. Factor y(i).\nAnswer: -(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2. Suppose -3*t = -t - 4. Suppose -6*c = -t*c - 8. Let k(j) = -5*j**2 + 0*j**2 + c*j**2. Determine k(g(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 99*j - 258. What is the remainder when b(25) is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -17*k - 3. Suppose -432*y + 8033 = -403*y. Calculate the remainder when y is divided by l(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628*c - 1839*c = -3798 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -658*k**3 - 510*k**2?\nAnswer: -3948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 25*c + 11. Let z be s(-25). Suppose -16 = -z*v + 6. Suppose v*m = 7*m - 80. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202 (base 3) to base 9.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*a**4*n**3 - 20*a*n**3 - 32337*n**3 wrt a.\nAnswer: -444*a**3*n**3 - 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 6. What is the remainder when 16 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 8) in base 4?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(22)\/(sqrt(11) + sqrt(22)\/sqrt(2)) - 1*sqrt(32)))*-5 + 2 + (sqrt(968) - 4*(sqrt(968) + -2)))**2.\nAnswer: -970*sqrt(2) + 9609\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - ((16 - 6) + (-8 - -13) + 2 + -8)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*(-1 + sqrt(112) + 5) - -4*(2 + sqrt(112) - sqrt(112))*4)*4)**2 + 5.\nAnswer: -276480*sqrt(7) + 1695749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -37, -29, -19, -7, 7, 23?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 - o**4\/6 + 3*o**2 - 7*o. Let t be u(0). Calculate the greatest common divisor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8*d = -10*d + 68, -4*d + 37 = -q. What is the second smallest value in 0.1, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6132.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 - 6*g - 73 + 4*g - 283.\nAnswer: -2*g - 625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222, 177, 120, 51?\n\"Answer: -6*o**2 - 27*o + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 765 + 771 = 0. What is the smallest common multiple of r and 264?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4781, -4752, -4713, -4664, -4605, -4536?\n\"Answer: 5*r**2 + 14*r - 4800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689376034.\nAnswer: 2, 3529, 97673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1 + 10\/4). Suppose -4*o = o + 25. Which is the second smallest value? (a) 1 (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3660 divide 3088425120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-18))\/(3\/(-6)) - -189. Let u = -181 + p. Let y(a) be the first derivative of -a**2\/2 + 5*a - 1. Calculate y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31783922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266 + 270. Factor -1\/2*k**g + 0 - 1\/2*k**2 + 0*k + k**3.\nAnswer: -k**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiijjiiiiii. What is prob of picking 4 i?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {b: 1, a: 1, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -544280945*j**3 - 119*j**2 - 4738145 wrt j?\nAnswer: -3265685670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 311464168 to the power of 1\/3, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -53*p + 65*p - 559 + 409. Determine i(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:49 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, q: 1, k: 1, p: 4}. What is prob of picking 3 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*w**4 - 144 with respect to w.\nAnswer: 580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28682 + r - r - 2*r**2 + 28730.\nAnswer: -2*r**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158066 by 17.\nAnswer: -9298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w - 6*w + 2*w + 2*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*v**4 - v**3 - 2 - 2 - 3*v**2 + 0*v**4 as y + s*v + f*v**2 + w*v**4 + x*v**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6000)*-2)\/sqrt(12).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 150\/375*70\/(-12)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58743352?\nAnswer: 2, 1697, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 532*z**4 - 2861*z**4 + 3630*z - 158*z wrt z.\nAnswer: -27948*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30717750.239 - 1.\nAnswer: 30717749.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by 1?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.2 + -80.2. Let q = -23 + o. Which is the fourth biggest value? (a) q (b) -0.11 (c) 0.2 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let y = 1 + -1. Suppose -3*z = -y*z - 9. Let s(j) = 3*j. Give z*s(i) - 5*w(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47608\/69 + 690. Let x = d - 29\/207. Let v = 0.2 + -0.4. What is the closest to -1\/4 in v, x, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.5894 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9380553 - -7562824. Suppose r = 4*g + 1398713. Let k = g - -1813834. Round k to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/2 - 3*b**2\/2 - 2*b. Let w be d(2). Suppose 0 = -4*s + 8, -u + 2*s = w*s. Put u, -3, 3 in ascending order.\nAnswer: -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13857795*y**2 - 321906*y - 24.\nAnswer: -27715590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.1 + 8. Let m(x) = x**3 + x + 6. Let q be m(0). Suppose q*s = 3*s. Put s, p, 3\/7 in ascending order.\nAnswer: p, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -183, 2\/19, -2, 1 in decreasing order.\nAnswer: 3, 1, 2\/19, -2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 177, 354, 531, 708, 885, 1062?\n\"Answer: 177*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4409118, -4409312, -4409634, -4410084, -4410662?\n\"Answer: -64*o**2 - 2*o - 4409052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39384348 is divided by 289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6166 to the nearest ten.\nAnswer: 6170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.6 - -0.4. Let n = 4.74 + -5. Let g = n - -0.16. What is the smallest value in 2\/11, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7462.\nAnswer: 2, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 122*b**3 - 16*b**2 - 32*b + 44. What is h(1)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = -0*m - 2*m - 2808. Which is smaller: -24 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/117 and 70\/1443.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/119515 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2739559.57 rounded to the nearest 10000?\nAnswer: -2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 70. What is the highest common divisor of 70 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 17, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 789 - 770. Suppose -67 = 24*i - u. Let q(t) = t**3 + 6*t**2 + 3*t + 1. Determine q(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4539 divided by -3890.\nAnswer: -4539\/3890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/99859 or -1?\nAnswer: -8\/99859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4456 is divided by 740?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*v = -v - 13, 2*g + v = -13. Let p(s) be the third derivative of 0 - 1\/6*s**4 + s**2 + 0*s + 1\/3*s**3 - 1\/60*s**5. Determine p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*y + 101*y + 73*y - 9844 + 27288 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 + -20e12?\nAnswer: -20e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/(7\/(-21)). Let t be (g + 3 + -5)*0. Let n be 2 + (6\/3)\/(-1). Solve n = -t*r + 2*r - 4, 3*r = a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3\/(3\/2). Let d = -2915 + 20410\/7. What is the third biggest value in d, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606567.\nAnswer: 23, 113329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(162)\/(sqrt(324) + sqrt(9))*-1)\/((sqrt(72)\/sqrt(2)*3)\/sqrt(6)).\nAnswer: -sqrt(3)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 27. Let i be n(-12). Let t = -18 + 37. Suppose 20 = 4*v + 3*m - 3, -5*m = -3*v - t. Which is greater: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 46*107\nAnswer: 4922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + 11*s**2 + 76*s + 486. Calculate l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 165 - 266. Is -5 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264716585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4928 and 4928.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 77*d**6\/6 - d**5\/20 - d**3\/3 - 672*d**2 - 2*d - 1872. Find the first derivative of z(h) wrt h.\nAnswer: 1540*h**3 - 3*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2376)\/495)\/((-6)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 1 + 3*g - 3*g**3 + 0*g**3 - g to t + w*g**2 + v*g**3 + f*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:51 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - 22*l**2 - 2 + 46*l**2 - 17*l**2 to the form j*l**2 + q + z*l and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 7. Let i = -0.7 + 0.6. Which is the second smallest value? (a) h (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 7 - (4 + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51375 is divided by 5707?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.14964 (b) -2\/7 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29183 = -2*n + 3*z - 4*z, 4 = 4*z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*k = -5492 - 778 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 58*j**2 + 56*j + 36. Determine q(59).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -544*q**2*t**4 + 611*q**2 wrt t.\nAnswer: -2176*q**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 18 - 4*b as j*b + q and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxss when four letters picked without replacement from ssxssssxxssssss.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 15 + 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 123045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426 and 3621?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/2 or 578092?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 + 12*o**2 - 417*o - 14*o**2 - 1 + 431*o + 4*o**3 to the form i + j*o**2 + f*o + g*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 353*s**2 - 139*s + 6503. Determine o(-176).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4052*0.01\nAnswer: 40.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*22050\/840?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 4:18 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pufgpmaapppgpfpgmf. What is prob of sequence um?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1. Let r be x(-2). Let h be (-8 - -4)*(r + 1). Let l(d) = -d**2 - 8*d + 6. Let g be l(h). Solve -16 = -g*q + 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7257 or 12011?\nAnswer: 7257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0376213um in kilometers?\nAnswer: 0.0000000000376213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 22*n**3\/27 - 337*n**2\/9 - 248*n\/9 + 2561. Factor u(j).\nAnswer: 2*(j - 31)*(11*j + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 23. Let h be 75\/30 + (-6)\/4 + 4. Let g(r) = -8 + 6*r - 2*r - h*r. Suppose -3*s - 30 = 2*s. Determine s*f(i) - 17*g(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 5*g - 2. Let j be t(4). What is the remainder when (4 + -6)\/(j\/(-28)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7914 - 967. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231*-0.04\nAnswer: 9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13569 = 3*b - 2*k + 2910, 2*b + 4*k - 7090 = 0. List the prime factors of b.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * -6.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6714 divided by 336.\nAnswer: -1119\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.8 (b) -9\/4 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - -1 - 2)*1. Suppose 0 = h - 5*m + y*m - 21, -4*h + 4*m + 64 = 0. Calculate the lowest common multiple of 8 and (-2)\/(-11) - (-130)\/h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37326916 to the power of 1\/2, to the nearest integer?\nAnswer: 6110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293092.199987 + 293091. Let m = 1.14 - -0.06. Let b = t + m. Round b to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4 + 7948*j**3 + 7792050*j**2 - 207800000*j + 200000000 = 0. Calculate j.\nAnswer: -2000, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 24. Let b(o) = o**2 - 6*o - 2. Let f be b(7). Let v(d) = d**3 + 2*d**2 + 2*d - 3. Calculate the remainder when v(2) is divided by z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izii when four letters picked without replacement from {i: 3, z: 3, p: 7}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 310.62 + -288.62. What is the third smallest value in -0.1, i, 2\/27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -22*f + 2. Let k(x) be the third derivative of -x**5\/60 + 41*x**2. Determine n(k(p)).\nAnswer: 22*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 187070700 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13e7eeb - -2?\nAnswer: 13e7eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -12.9. What is y rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 315 + -53. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25457 and 0.38.\nAnswer: 9673.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1663*h - 1874*h + 6752 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 444*o + 16428.\nAnswer: 3*(o + 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 - -5. Suppose -3*v = 3*r + 2*v - 137, 0 = -2*r - 4*v + y. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(6\/(-18)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Suppose 4*t - 12 = -0. Let y(w) = -2*w - 2*w + t*w. Calculate y(l(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -43, 59, 5 in ascending order.\nAnswer: -43, -4, 0, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z + 3 = 0. Suppose -3*l + z = 0, -4*g + 8 = 3*l + l. Let h(b) = b**3 - b**2 + b - 1. Give h(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 = 3*y + 144. Let p be y\/(0 - (-1 + 0)). Let b = 289 + p. Does 46 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17381959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94*2\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-435)\/522)\/((-20)\/18)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*i + 16, 0*p = 2*p + 5*i + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5040778 is divided by 863?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1853 + -1852.414. Which is the fourth smallest value? (a) 0.1 (b) o (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**5\/5 + z**2 + 77*z + 569. What is the second derivative of m(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:31 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25335334043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379*v + 374*v + 10805 = 0. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48408360 divided by 2310.\nAnswer: -20956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m - 8. Let j = -14 + 15. Let c be (-5)\/(-1 - (j + -1)). Let f be d(c). What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8139*b - 8139*b + 57*b**2.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532076179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1974 - -5?\nAnswer: -196e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(-3*l**3 + 3*l**3 - 4*l**3) + (2*l**3 - l**3 - 2*l**3)*(0*l - 2*l + l) + (12*l**2 - 3*l**2 + 10*l**2)*(l**2 + l - l).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -0.5, -11, 0.01?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046426 to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368156, 368177, 368212, 368267, 368348, 368461, 368612, 368807?\nAnswer: 369052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24208693 and 1.\nAnswer: -24208693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 21 + 25 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 4:27 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxeooxxrsooooroxx. What is prob of picking 1 r, 1 x, and 1 s?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(-5)\/((-25)\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/49)\/((28\/11622310)\/(1\/(-5))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 125*q - 111*q + 12.\nAnswer: 14*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 0 + (-3*sqrt(208) - sqrt(208)) + sqrt(208))**2 + -2.\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1547*d + 1709*d + 988*d.\nAnswer: 4244*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t**2 + 1095*t + 17. Determine x(-39).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 19*i - 60. Determine a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5405.\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 52\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 14. Which is the closest to -1? (a) 0.2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 5. Suppose 40 = -s + l*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 676?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - 1. Let y be (-3)\/(6\/14) + 12 + -10. Sort v, -3, y.\nAnswer: y, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240123 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgay. What is prob of picking 1 g and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101011 - 0?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1502 + -301. Let c = 648 - h. Let m = c - -11615\/21. Is m less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2736 and 228?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**3\/4 + 1999563*g**2\/2 + 9997722*g - 23994576 = 0?\nAnswer: -1333032, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4802 + 4829. Find c, given that -123\/5*c**2 + 243\/5*c**5 - 12\/5 + 96\/5*c + z*c**4 - 339\/5*c**3 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 36. Let x be v(15). Factor 12 + 311*l**2 - 81*l**4 + 119*l + x*l**3 - 27*l + 24*l.\nAnswer: -(l - 3)*(l + 1)*(9*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 4*u + 1. Let x(v) = -v**3 + 6*v**2 - 15*v + 8. Let m(w) = 2*w**3 - 17*w**2 + 44*w - 23. Let k(b) = -6*m(b) - 17*x(b). Give 6*k(j) - 14*q(j).\nAnswer: 2*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 30 - 90. Suppose 24*z - 334 = 146. Calculate the highest common factor of c and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 54.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23185921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 0. Let b = -16 + 8. Let v = g + b. Put 0.5, 4, v in ascending order.\nAnswer: v, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11750?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -120211011?\nAnswer: -120211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 7*w. Calculate y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195822770 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5b0c3 (base 15) to base 14\nAnswer: 77bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18976297 or 18976298?\nAnswer: 18976298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*z - 3 = 8, -3*s + 21 = -3*z. Let j = -5531.3 - -5531.3. Sort j, -1, -2\/9, s.\nAnswer: -1, -2\/9, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-424)\/3392)\/((-1)\/3 - 0)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -38*g**2 + 6*g**2 + 11*g**2 - 76 + 12*g**2 + 20*g + 10*g**2. What are the prime factors of h(11)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506908439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 121.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 <= 174\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(175) + 1 + sqrt(175)*3 + (1 + sqrt(175))*2)**2.\nAnswer: -37854 - 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/72*(-2)\/12*11\/(-22)*84?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110111 (base 3) in base 2?\nAnswer: -110010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/15 + 187\/30. Let b(g) = -481*g - 1. Let o be b(6). Let t = o - -40371\/14. What is the common denominator of n and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/7)\/((t**(12\/11)*t)\/t) assuming t is positive.\nAnswer: t**(-117\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 25*r**4 - 2860*r**3 + 82365*r**2 - 32490*r = 0?\nAnswer: 0, 2\/5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1602180 and 92020?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 57*r - 1810 = -62 + 657 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10636 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/7 + (-1377)\/221 - -17.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-36)\/(-10) - (-4)\/10). What is the nearest to v in -0.2, -0.5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -33. Let a be k\/(3\/117)*(-70)\/(-21). List the prime factors of (a\/40)\/(2\/48).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.05176, 0.06, 13, 0.8 in descending order.\nAnswer: 13, 0.8, 0.06, -2.05176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*r - 125, -4*z + 4 - 82 = -2*r. What is the remainder when 728 is divided by r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-65)\/(-25))\/13. Is 3\/58 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u + 39870. Let v be (-2)\/(-10) - (2 - u\/(-30)). Suppose -v = 2*a - 8*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + sqrt(1053))*-4*-2 + 4)*1.\nAnswer: -144*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**7\/42 - n**6\/15 - n**5\/20 + 4*n + 3. Let k(o) be the first derivative of s(o). Factor k(m).\nAnswer: -m**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*6 + -3 - (sqrt(15)\/(2*sqrt(3)) + (sqrt(55)*2)\/sqrt(11)))**2.\nAnswer: -21*sqrt(5) + 281\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Suppose 15 = 4*t + k, -6*t + 18 = -t + 2*k. Which is the closest to 0.1? (a) h (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001870558 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22*(2\/4)\/(7\/21). Let v be w\/(-22)*3\/((-1107)\/5271). Let l = -3\/41 + v. Find the common denominator of l and 22\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14215000 to the nearest one hundred thousand.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 n, and 1 y when four letters picked without replacement from wppnnynnynpn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 7*t - 1. Let l be p(-7). Let g be (2\/6)\/((-2)\/(-210)). Let a be (-56)\/g*(-15)\/12*2. Is a < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*v + 146, -4*x + v + 163 = 18. What are the prime factors of 110\/15*x + -1?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 44, 66, 88, 110?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*h + 24*h + 22*h = -139748. What is the highest common factor of 93 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-1 + 2) - (20 + -19)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59885 by -8555.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 26*j - 25*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 1727618?\nAnswer: -1727611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((7 - 9) + 9 + 0 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - (0 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/8*-6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 204*s - 208. Let d be l(-5). What is the hundreds digit of (d\/(-7))\/(46\/161)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 7423?\nAnswer: -7428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - v - 1 + v + 1 + (-5*v + 2*v + v)*(-1 + 0 + 3) + v - v - v + (-v + 3*v - v)*(-3 + 3 - 2) + v + 0*v - 2*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4859 - -4859.076. Let f = 10303799.076000412 + -10303799. Let n = z - f. Round n to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 1, w: 1, i: 1, b: 3}. Give prob of picking 1 i, 1 w, and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(19\/3)\/m*m*m)**(-26) assuming m is positive.\nAnswer: m**(-572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61106287663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -224116\nAnswer: 3137624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, -7, -2\/5, -21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17716509 by 16389.\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 27*y**2 + 2*y + 1. What is the units digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/4 - 4836*f + 9669 = 0.\nAnswer: 2, 6446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62335885 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -44743.\nAnswer: -10\/44743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -24. List the prime factors of 4\/a*-1 - 1504\/(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3321315 + -11?\nAnswer: 3321304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282587 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -5*n + 439. Suppose 2*d + 4*b - n = 0, b + 237 = 3*d - 2*b. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 14}. What is prob of sequence sss?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6 + 10*c**4 + 1391682*c**3 - 11*c**2 - 1523*c - 108 wrt c?\nAnswer: 120*c**3 + 240*c + 8350092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 14 + 8)*(2*q**4 + 2 - 2) + (2 - 2 - 3*q)*(-3*q**2 + 3*q**2 - 2*q**3) + q**4 + 4 - 4 to i + k*q + b*q**4 + t*q**2 + a*q**3 and give b.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-3\/2)\/x)\/(x\/x**(-2\/15)*x))**(-20)\/((x\/(x\/x**(-2\/5)))**(-2\/93)\/(x**(-6)\/x**(-1\/7))) assuming x is positive.\nAnswer: x**(50779\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 13*t + 63*t + 208. Which is the fourth biggest value? (a) t (b) 0.03 (c) -3 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*5400\/8640?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:54 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 8 - 1)*(3*h + 0*h - 2*h) - 3*h - h + 3*h)*(0*h + 0*h - h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 52210 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - i = -2*c + 19, 4*c - 2*i - 20 = 0. Suppose -11 = -4*h + 2*h + 5*r, -2*h = 3*r - c. What is the first derivative of 2 - 2*w - h + 2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*h - 132*h = -2*r + 8, 3*r - 7 = 2*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 20 = 2*o + 5*p, 5*o - 2*p = -15. Let q = 75.51 + -72.51. What is the smallest value in 0.1, o, q, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 2*m**3 + 3*m + 5*m**2 + 10*m**3 - 3*m**2 + 2. Let h be g(-1). Let w = 97 + h. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**4 - 10*x**2 + 7*x**4 + 9*x**5 + 5*x**4 wrt x.\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, -30, -86?\n\"Answer: -56*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 6*p - 3. Let b be a(2). Suppose 0 = 4*n - 0*l - l - 24, -b*n + 41 = -4*l. Solve -5*f = -5*j - n, -3*f - 5*j + 7 = -28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 89\/13. Let d = 189.7 - 193.7. Which is the nearest to -1? (a) d (b) k (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let m(l) = l**3 + 2*l**2 - 7*l. Calculate the remainder when m(n) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -602613, -602608, -602599, -602586, -602569, -602548, -602523?\n\"Answer: 2*v**2 - v - 602614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u - 22. What is the lowest common multiple of d(-4) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 20. Suppose 0*h + s = -2*g + 3*h, -5*h + 20 = -g. Solve g*r + 1 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 4*k = 24*j + 28, 2*k = -8 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093604609 to five dps.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/905 and -1\/724.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(12\/7)\/c**(5\/7))\/(c*c*c**14*c*(c*c*(c*c*c**(-12)*c)\/c)\/c))**(7\/3) assuming c is positive.\nAnswer: c**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {q: 1, c: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/22 (b) -3\/7 (c) 0.8 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -76, -175, -364, -673, -1132?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/25 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2849, 22842, 77119, 182822, 357093, 617074, 979907?\n\"Answer: 2857*u**3 - 6*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (5 + -4) - -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -15 - 18. Let k(z) = -13*z**2 - 9*z - 4. Let a be k(-3). Let h = r - a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -35, 0.5, -4298, -0.5 in increasing order.\nAnswer: -4298, -35, -0.5, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 4435?\nAnswer: 4437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046314232?\nAnswer: 2, 17, 31, 248177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -21*y**3 + 2689*y**2 - 168*y + 5209. Determine w(128).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 139822 - 21661 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1091852 + 3694911. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 2*g**2 + 3*g + 6. Let k be r(-4). Suppose -2*f + 3*h - 12 = -77, -3*f = -3*h - k. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -851 - -89353\/105. Calculate the common denominator of -19\/105 and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29310, -58615, -87918, -117219, -146518, -175815, -205110?\n\"Answer: f**2 - 29308*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r + 2 - r - r**2 + 3*r + 7*r**2. What is the tens digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**6\/45 - m**5\/15 + m**4\/18 + 3*m. Determine v, given that b(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5737024, 11474068, 17211112, 22948156, 28685200?\n\"Answer: 5737044*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:15 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 20. Let a = -271 - -270.9. Are u and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*o - 31 + 7, 52 = -3*r - 4*o. Let x be (-1)\/(-3) - 68\/r. Let g = x - 4. Solve -5*w = -g*p + 25, -2*w + w - 18 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + b - 53 = 0, -7*r + 2*b - 3*b - 155 + 186 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 880 - 2638\/3. Let n(a) = 8*a + 3. Let y be n(-3). Let z be (-1)\/3*y\/(-14). Put z, w, -0.01 in increasing order.\nAnswer: z, -0.01, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 93*p**4\/20 + 37*p**3 + 447*p**2\/10 - 3*p + 661. Solve c(o) = 0.\nAnswer: -5, -1, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130053, 260145, 390335, 520671, 651201, 781973?\nAnswer: 913035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-1 - l + 1) - 2*l + 4*l + 0*l)*(0 + 8 + 0).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-1) + 4\/2. Let a(j) = -7*j - 4. Let x be a(s). Let t = -12 + x. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/5, 9026, -3, 3, -0.05?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232021032 (base 4) to base 9.\nAnswer: 317236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1733531 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*s - 2*s**4 - 9 + 7*s - 3*s**4 + s**2 in the form h*s**3 + x*s + z*s**4 + f + v*s**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = 2*u - h, -4*u - h = -1. Sort -3, -1, u, 2.\nAnswer: -3, -1, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1797, 1793, 1777, 1743, 1685, 1597, 1473?\n\"Answer: -j**3 + 3*j + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*u - 314*u = -2071 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5720.7 and -5?\nAnswer: 5715.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8118833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005539925 to 7 dps.\nAnswer: 0.0000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, -0.1, -6\/7, -3, 75 in descending order.\nAnswer: 75, -0.1, -0.2, -6\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-114)\/(-32) + (-10)\/(-20) and -105\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.10953 and -4.\nAnswer: 0.43812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -17*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/60 - 11*c**4\/24 + 5*c**3\/3 + c**2. Let z be o(9). Is (-165)\/6*z\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-5) - (-8)\/20. Let h be 24\/18*3\/q. Solve h*f = 2*p, -4*p + 2*f = 5*f - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -10. Which is the closest to -0.2? (a) u (b) -0.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44325 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**3 + z**2 - 1004332*z + 47824990 wrt z.\nAnswer: -15*z**2 + 2*z - 1004332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2961 + -1177. Suppose -2*o = 374 - b. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62289 and 4617?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-30)\/(-105) + (-16)\/7. Suppose s*i = -3*i + 15. Sort i, -4, 3, 2 in decreasing order.\nAnswer: i, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Let y = -2552\/5 + 510. Let d = -2 + 1.9. Which is the nearest to d? (a) -2 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 9 - 228*p**2 + 2 + 659*p**2.\nAnswer: 431*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -27)\/(4*(-9)\/36). Suppose 3*o - 30 = -5*w, 2*w - 34*o + 38*o = a. Solve -5*g + 2*y = 9, -g - w*g - 5*y = 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17752 is divided by 17261.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Express (-942*a**2 - 340*a + 168*a + 172*a)*(4 - 2 + 0) as u + x*a + r*a**2 and give r.\nAnswer: -1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 - 28*i + 355. Let y be q(12). Let b = y - 1310. Suppose 2*u - 5*u + 37 = 5*o, -5*u - 3*o = -35. Solve 0 = b*j - u - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26239489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 65, 0.063, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5530*o + 5501*o - 11002*o - 2436 = 0 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40084483 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 28*s**2 - 19*s - 528. Let u be x(-28). Suppose 4*i - 17 = -i - 2*t, t = -i + 1. Solve u*m + d = 5*d - 24, -5*m - 2*d = -i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o**3 + 21*o**2 - 12*o - 6. Let r(h) = -h**3 + h**2 - h - 1. Let q = -6 + 0. Let c(i) = q*r(i) + u(i). Factor c(w).\nAnswer: -3*w*(w - 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, e: 9, x: 2}. Give prob of picking 2 d and 2 x.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(2\/48*9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(1\/(-1 - -3)). Let f(s) = 4*s + 5. Let h(z) = -6*z - 8. Let n(u) = v*f(u) - 5*h(u). Let q(g) = g**2. Determine q(n(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -408.3 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -0.04\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*((-8)\/10)\/(66\/110). Solve 2*f + 1 = -h, h + u = f + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1\/(-2)*2). Let a(g) = -4*g - 1. Let b be a(p). Let x = 8 - b. Solve -4*f - 23 = -x*w, f - 3*f = 3*w - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470 = 104*p - 101*p. Suppose -4*s - s = -p. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/11, 147, -0.1, -1?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6809 less than -0.35?\nAnswer: 6808.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 757483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2401*x**3 - 2807*x**3 + 5212*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 3 = 4*p + 36*c, -8*p = -40*c + 48 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is prob of sequence nddd when four letters picked without replacement from {n: 7, d: 12}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056894659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 4\/2211 (c) 0.5 (d) -3 (e) 0.8 (f) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let q = t - 3. Let m(v) = v. Calculate m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60393 = 460*h - 463*h - 5*l, 40262 = 2*h - 5*l. What are the prime factors of h?\nAnswer: 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1197 + 753 = 65*b. What is the highest common factor of b and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4186?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 158, 257, 378, 527, 710?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50405 + 1052?\nAnswer: -46323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -3.96, -2\/11?\nAnswer: -3.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -2\/19, -2\/5, 210 in increasing order.\nAnswer: -5, -2\/5, -2\/19, 3, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42442 plus 2287427?\nAnswer: 2244985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + j - 3. Suppose -10*h - 3*h = h. Give o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1440377 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i - 3. Is m(3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by -27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.316 - 0.254. Let t = -2.53 - b. What is the third smallest value in 7, t, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 3*f**2 + 2*f - 2. Let a be (-1)\/2 - 10\/(-4). Suppose 3*u + s = 70, u - a*s - 9 = 5. What is the lowest common multiple of n(3) and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**2\/2 + 3*f - 9089. Suppose -4*t + 3*o - 16 = -4, o = t + 3. Determine n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 258.179 decades?\nAnswer: 2581.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0*(-1)\/2. Let s(x) = -x**3 - 5*x**2 - 8*x - 2. Let k be s(-3). Solve -3*m = k*o, 5*o = -m - u*m + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 + 380. What is the units digit of -168*46*(-9)\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56644, 226551, 509732, 906187, 1415916, 2038919, 2775196?\n\"Answer: 56637*g**2 - 4*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**3\/6 - 3*s. Let w(p) = -18*p. What is d(w(f))?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**6)\/((x\/(x*x**(-1\/7)))\/x)*(x*x\/(x\/x**(-1)))\/x**(-3\/2) assuming x is positive.\nAnswer: x**(131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -405 - -399 - (-1 - (4 + -6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a - 2. Suppose u + 2*d - 1 + 0 = 0, -2*u - d + 5 = 0. Let k(v) = 3*v - 5. Let g be k(u). What is the units digit of j(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*b + 38, -6*b + 3*b = 2*l - 78. What is the remainder when 163 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*s + 22 + 62 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkba when four letters picked without replacement from {w: 1, k: 1, v: 2, a: 1, b: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 + 7)*4\/6. Suppose -3*o = -4*j - 92, -2*j - 13 = 4*o - 121. Calculate the greatest common factor of o and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in -1, -9\/2, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3151*y**3\/6 + 3531*y**2\/2 - 1702*y. Differentiate b(m) with respect to m.\nAnswer: 3151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-21 - (-208)\/5)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 9. Let i(r) = -r**3 + 4*r**2 - 7. Let f be i(3). Suppose 3*c - g - 14 = -2*c, 5*g + 4 = 3*c. Put s, c, f in descending order.\nAnswer: s, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1533)\/(-5) + (-4)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l + 20. Let n be r(14). Let v = -10227\/20 - -510. Find the common denominator of v and n\/(-12) + 1 - 4\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from doqmeyodddqeqm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(84\/(-18)) + 6\/4. Suppose 5*k - 6*w = -r*w + 178492, 2*k + 4*w - 71376 = 0. Let x = 17496 - k. Round x to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8293*u - 3937 = 8420*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122.891, 99, -1 in descending order.\nAnswer: 122.891, 99, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 11*k + 21 = 0. Calculate the smallest common multiple of 171 and k.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (53 - 12) - (-9 + 1 - -12 - 14).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(15*n - 276 + 276)*(-2*n + 1 - 4 - 1).\nAnswer: -90*n**2 - 180*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*d - 20, 2*d + 3*d + 12 = 3*w. Suppose 4 = -w*q, -4*q = 2*m - q + 3. Suppose 3 = o - m*o. Solve o*t + 2 + 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 246*i**2 + 2*i - 8 + 18 in the form m + p*i + s*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + 3 + (-2*-1*sqrt(1539) - (-1 + sqrt(1539)*-1 + sqrt(1539) + sqrt(1539))))**2.\nAnswer: 90*sqrt(19) + 1561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47826)\/(-42) - (46\/(-14) - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*(sqrt(1700) + sqrt(1700)*1)*-6 - (sqrt(1700) + -1 + sqrt(1700) + 1)*1)*6)**2.\nAnswer: 8880*sqrt(17) + 335131201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51905?\nAnswer: 5, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15424 smaller than 26694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -186 (b) 0.3 (c) 1357\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -225.\nAnswer: 103\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-6)*(-3)\/(-84))\/(19\/(1 - -113))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 79. Let r = -513 + 511. Let w = -4 + -1. What is the nearest to y in r, 1\/9, w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 404912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102944 is divided by 1634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134374554?\nAnswer: 2, 3, 1051, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 3*b**2 - 4*b - 5. Let m be h(-3). Suppose 0 = -m*s - 6*s + 3198. What are the prime factors of s?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from slldldlsl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*5*(-9)\/405. Let b(f) = 9*f + 11. Let v(l) = 3*l + 4. What is n*b(o) - 7*v(o)?\nAnswer: -3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6358 + 26734.\nAnswer: 26734.6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/17 - -19\/51. Let g = -3611 - -3611.3. What is the closest to g in -1\/4, q, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97 + i - 71 + 13 - 25 in the form o*i + t and give t.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/(-182))\/(15\/(-35)))\/(10\/24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16696 divided by -2087.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 724521 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*u = -2*h + 8, -5*h + 5 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-21))\/(4*5\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -8*u + 228. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + q = 9, 0 = -5*w - 0*q + q + 26. Suppose 0*o + w*o = 1045. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5905 - -0.61. Let n = 38.3195 - w. What is n rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*j, 0 = -3*h + 2*j + 3*j + 24. Is (0 + 1\/h)*42 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -545, -859, -1173, -1487, -1801?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152046 is divided by 1505?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-18) + 28\/6. Solve 0 = -y*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {o: 4, i: 3, m: 1, c: 2, a: 1, f: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o + 3. Let k(f) = 4*f + 52. Let c be k(-12). What is the first derivative of -4*u**o + 0*u**3 + 6 - c*u**3 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1)**2 + (sqrt(208) + sqrt(208) + -3)**2)*-6 + 3.\nAnswer: -16281 + 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/34*(36115 + -2 - (-5 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p = 101*p + 90 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2171 + 400892.\nAnswer: 398721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -77 - -6?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/15 - 69782*c\/15 - 139556\/15 = 0 for c.\nAnswer: -34889, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(9\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 35. Suppose 6*d - 81 - t = 0. Let h = 24 - d. Solve r - 2*j + 1 = 0, 5*r - 2*j = -h*j - 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/((-1)\/(1\/(-1))). Is ((-2)\/4)\/(k\/(-168)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 8*q. Let a be t(-8). Suppose i + a = 13. Let v be (-2)\/13 + 41\/i. What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3087 - 10659 + 3563 - 6585 - 4828)*(-2*v + 2*v + 2*v + (v + 3*v - 6*v)*(-3 + 3 + 2) + v + 0*v + 2*v) to o + u*v and give u.\nAnswer: -15422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -52*c**2 + 837*c + 262. Calculate g(16).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, -803, -916, -973, -956, -847, -628?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r + 11. Let p = 3 + -9. Let v = -2 - p. Let k(y) = 5*y - 6. Determine v*d(o) + 7*k(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190225*w**3 + 125030.\nAnswer: 570675*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.16 less than -334306.318?\nAnswer: -334320.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7992 divided by -72?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 3*f + 3*f + 0*f + f + 4*f + (-3*f - f + 2*f)*(2 - 4 + 0) + 0 + 115*f - 229*f + 0.\nAnswer: -104*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 163*l - 5 = 168*l, h + 5*l + 29 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -44. Let c = k - 485\/4. Put 3, c, -6, 1\/2 in decreasing order.\nAnswer: 3, c, 1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 + 123*n**3\/2 - 183*n**2\/4 - 1215*n = 0 for n.\nAnswer: -4, 0, 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxux when four letters picked without replacement from fxtfuffueutuuetuxx?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -0.3, -2\/7, 13, -0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260744 - 226156. Round m to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1773252*t*u**3 - 2*t*u**2 + 3816*u**3 - 230*u**2 + 165*u with respect to t.\nAnswer: -1773252*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224 and 867.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {c: 7, w: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 495?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.87 - -0.27. Let y = o + 6.5. Which is the fourth smallest value? (a) 0.4 (b) y (c) 5 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2872*u + 140. What are the prime factors of j(1)?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -2 - -16 - (-8 + -16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-9 - (-6)\/3). Let j be ((-4)\/(-7))\/2*s\/(-10). What is the closest to 1\/6 in j, 1\/10, 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 5918?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (750\/(-1875))\/((-12)\/(-4320))\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1372143 > -1372179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y**5\/6 - 131*y**4\/6 - 69*y**3\/2 - 49*y**2\/6 + 17*y\/3 = 0. Calculate y.\nAnswer: -17, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-22)*22\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/2 (b) 11998 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115328 (base 11) to base 12.\nAnswer: 89904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238836 by -39806.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.8 - -45. Let k be 158\/20 - (-3)\/5. Let h = k - 89\/10. Which is the third smallest value? (a) -4 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*z + 5, -5*z - 1044*l = -1042*l - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 15c900c?\nAnswer: 15c9010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2136825 and 2307771?\nAnswer: 57694275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10645?\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20173 + 3465 + 1963 = 826*r - 5 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 1\/30*w**5 + 0*w**4 + 0 + 0*w + 0*w**3 - 2*w**2. Let a(h) be the first derivative of -h**2 + 1. Give a(g(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 12 + (-3 - -4) - (5 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270708808 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 + u**2 + 5*u - 1. Let w(t) = 3*t**3 + 4*t. Let n(z) = -4*m(z) + 5*w(z). Let y be n(-4). Solve 0 = y*c + 6 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 67*r**3 + 2*r + 1. Let d be w(-1). Let p = -63 - d. Suppose b - b = p*b. Which is bigger: b or 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -4*g + 13 + 7 = l. Suppose -12 = 3*i - g*h, 4*i + 5*h = 6*i + 8. Sort 4, 1, i.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b = 29*b + 2*a + 14, -8 = -4*b - 4*a. Let x be (-30)\/b + 16\/2. Solve 0*o - 3 = x*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4 (c) -87 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -55608 divided by -9268\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6) - 1) + 575\/345.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 7 = -2*z, 0 = 2*j + 5*z + 10. Suppose -3*r + j = -10. Put -2, r, 4 in decreasing order.\nAnswer: r, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -393*y + 394*y + 6. Let n(x) = x + 3. Give n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107642424 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6844704 by -1312.\nAnswer: -5217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373 is divided by 431.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Let m = -0.03 + n. Let q = -0.05 + m. Round q to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - -10) - 1 - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1885 - -11868. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9034, 0, -1, -2, 2, 3, 23 in decreasing order.\nAnswer: 9034, 23, 3, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) + 1 + -2)*2 - (sqrt(975) + sqrt(975) + 2*sqrt(975))\/(sqrt(75)*-4)) + -2)**2.\nAnswer: -152*sqrt(13) + 4709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(16\/(-8) + 144\/84). Let p = 3 + 1. Solve c + h = -l, c - p*h + 3*h - 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -538275, -1076559, -1614839, -2153115?\n\"Answer: 2*g**2 - 538290*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) 2\/11 (b) 0.5 (c) -0.3 (d) 1 (e) 10068\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 20*o - 46. What is q(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + 3 - 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-72)\/(-19)) + (-10)\/(-15)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 - -212. Which is the third biggest value? (a) r (b) 38 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 8:12 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819 divided by -10084.\nAnswer: -819\/10084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4 - 2. Let x be (0 + z)*5\/1. Suppose -y + 2*q - 10 = -4*y, 5*y = -x*q + 15. Solve o - 15 = y*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*f + 4 + 1, f = 0. Solve -2*h = -p*b - 6*h - 26, -b + h + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.36 and -29.\nAnswer: -416.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6644 + 6642. Let l be 6\/8 - 2\/8. Sort p, 0.2, l.\nAnswer: p, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-3\/47)\/(w\/(w*w*w*w**(-1)*w))**(4\/11))\/(w**(-2\/29)\/(w\/(w*w\/w**7)))**(-17) assuming w is positive.\nAnswer: w**(-1536917\/14993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -566 - -577. Solve 10*n - t*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, g: 1, m: 1, f: 1}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27133846.\nAnswer: 2, 773, 17551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-185)\/(-15) + -11)*6*1\/34?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 19 + (0 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -394226 divided by -58\nAnswer: 6797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49161611 and -5.\nAnswer: -49161616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -6483361\nAnswer: 16\/6483361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazk. Give prob of sequence kakk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 2*q**2 + q. Let n be i(-1). Is 5 a factor of -2*2\/n*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 11*j**2 - 21*j + 4. Let v be x(-9). Is -1419 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1185?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 3*q - 1. Let i be g(-2). What is the units digit of (2\/i)\/((-2)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1033049458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -339 + 515. Let o be 2*-1*8\/(-1). Calculate the greatest common factor of o and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 42\/55 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43626718\/3 < 14542240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.1, 79, 1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*j + 14*y - 10*y, 4*j - 8 = y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -64531406.6 to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136721, -271584, -406439, -541280, -676101?\nAnswer: -810896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063086391 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 10 = -46 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2ca68 (base 13) to base 7\nAnswer: 503402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*y - 3*w + 25, -4*w = -2*y - 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(45))*6 - -6*(sqrt(45) + -2))**2.\nAnswer: -1296*sqrt(5) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 + 20*w + 36. Let l be b(-2). What is the highest common factor of 30 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17883669 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 58090.22919 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {v: 3, e: 2, w: 1, d: 2, x: 1, y: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 0. What is the highest common divisor of c and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*c + 3 + (-75 - 4 + 12)*(-5*c + 3*c + 5*c) as m + o*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 5. Let p be b(12). Suppose 3*x - 214 = p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8571.68 - 7732. What is v rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37299.37 years in millennia?\nAnswer: 37.29937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2484*y - 2121*y + 5047*y + (4 - 2*y - 4)*(-2 + 1 - 2).\nAnswer: 448*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-33 - -8) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/5 + 792733*t**2\/5 + 3963646*t\/5 + 4756368\/5 = 0.\nAnswer: -792728, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*h - 54*h + 78 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1127 divided by 17\nAnswer: 1127\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 + 0*l**2 - 14 - 14*l - 6*l**2 + 5*l**2. Calculate the remainder when 29 is divided by t(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6*p**5*(p**(-1)\/p)**(-32) assuming p is positive.\nAnswer: p**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10\/(c*(c\/c**(11\/4)*c)\/c))**(-10\/13) assuming c is positive.\nAnswer: c**(-215\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 2*v - 1. Calculate w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2 - 1)\/(1\/(-2)). Let i(u) be the third derivative of 1\/20*u**5 + 0*u**o + 3*u**2 + 1\/3*u**3 + 0*u + 0. Find the first derivative of i(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 13 + 10)*(3 - 3 + 2*r)*((0 + 0 - 1)*(-3*r - r + 5*r) - 5*r + 3*r + r + (-20*r + 10*r + 18*r)*(3 - 6 + 4)).\nAnswer: 372*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42518 - 41972. What is the remainder when k is divided by 117?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.065164 millilitres to litres.\nAnswer: 0.004065164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6016 (base 8) to base 5.\nAnswer: 44321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5128464 * -3\nAnswer: -15385392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 34*o. Let k(s) = -s**2 - 1216. Calculate p(k(v)).\nAnswer: -34*v**2 - 41344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 - (-4)\/(8\/(-6)) is divided by 6\/45 + (6040\/(-300) - -28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 130*y**2 - 2. Let c(r) = -66*r + 1. Calculate t(c(m)).\nAnswer: 566280*m**2 - 17160*m + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 - 1008*g + 5940. Calculate s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/4 - -7. Let o = -0.2 - 0. What is the closest to -2 in 2\/9, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3 + 5)\/(-6)). Suppose -t = -5*v + 11. Solve -13 - 3 = -v*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5319137 and 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10170000 to the nearest one hundred thousand.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 135384, 7.\nAnswer: -2, 7, 135384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150892091 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.19509 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -657342 by -93906.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56227\/12 + -4691. Suppose 0 = 4*i + i + 635. Calculate the common denominator of u and i\/66 + (-6)\/(-18).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/30110 and 20\/3011.\nAnswer: 30110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1002 - -5333?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 143*r - 1. Let h(n) be the third derivative of -n**5\/4 - n**4\/12 + 6616*n**2. What is h(y(l))?\nAnswer: -306735*l**2 + 4004*l - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from vfvvfuviunvfv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 - -120?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1214247947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 12 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 21. Let b be h(-10). Let p be 98 - b - (-6 - (-4)\/2). What is the highest common divisor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 - -370. Let c(l) = -4*l**3 + 5*l**2 + 3*l + 6. Let u(i) = -6*i**3 + 7*i**2 + 4*i + 9. Calculate s*c(m) - 5*u(m).\nAnswer: 2*m**3 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 669 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010111101 (base 2) in base 15?\nAnswer: -55d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v - 4. Let q = -5 + 8. Let a = -1 - 2. Sort q, a, v.\nAnswer: a, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 637, -0.3?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187.3 + -183.3. What is the biggest value in q, -5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7977 is divided by 3260.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.095, 0.15, 2\/3, 0.23, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8.28. Let i = f - -0.04. Let p = -5.32 + i. What is the closest to 2 in -0.1, -2\/5, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6.7. Let s = 9 + -9.5. What is the smallest value in t, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(10 - 0). Suppose 87 = g*h - 2*h. Let r(x) = -x + 115. Calculate the remainder when r(0) is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 222*b**2 - 699*b + 9. What is c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5123800026 plus 14452?\nAnswer: -5123785574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -1\/2*g**3 + 24*g**2 + 0 + 169\/60*g**5 + 0*g**4 + 0*g. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -896, -132, -5, 0.5?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -13, -5, 1, 2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + k**2)*(-4 - 2 + 5)*(0*k**2 + 3*k**2 - k**2).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/10 + -5)*286\/(-55). Solve -9*z - 28 = -u*z + 4*d, 2*d + 4 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -21*o**3 + 1 + 5*o**3 + 4*o + 3 + 1. Let w(i) = 2*i**3 + i - 1. Let d(l) = -2*q(l) - 10*w(l). What is the second derivative of d(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 6608.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 74 - 63 = -4*i, -i = -3*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4106*t**2 + 73*t + 138. Let q(u) = -2054*u**2 - 33*u - 69. Let v(j) = -3*a(j) - 7*q(j). Find the second derivative of v(i) wrt i.\nAnswer: 4120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/78)\/(-7)*-2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from totblnotlllllnleelb.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-3)\/3 - 9\/15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231 - 5?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 3*v - v)*(-67 - 24*v**2 + 67)*(10*v + 3*v - 6*v) as c*v**3 + b*v**4 + g*v**2 + t + j*v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:51 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17426*o**2 + 8713*o**2 + 8696*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75658529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62521 is divided by 96.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461703.8cm to nanometers.\nAnswer: 4617038000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*j**2 + 0 + 5\/4*j.\nAnswer: -j*(j - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1114 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.2. Let t = z - 1.3. What is the second biggest value in 5\/6, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432.18km in nanometers?\nAnswer: 12432180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, -2, 114, -4, 5 in descending order.\nAnswer: 114, 5, 4, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -8. Let a be 0 + 0 + (h - -9). Suppose -1\/2*d**a + 0*d + 1\/2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176 >= 3175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*x**2 + 6*x**3 + 103*x**2.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54234*j**2*z**4 - 2*j**2*z**2 - 3*j**2*z - 4*j**2 + 48*j*z**6 - j*z**2 + 19562*j - 3 wrt z.\nAnswer: -1301616*j**2*z + 5760*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j + 233*j + 47*j - 4736 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 941024 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a factor of 201784354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.307 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 20*z + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 3*f**4 + f**4 + (1 - 7 - 14)*(-2*f**4 + 2*f**4 + 2*f**4) + (-3*f + 3*f + f)*(-f**3 - 2*f**3 - 8*f**3).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 38 = 3*u, i = 5*u + 76629 - 76604 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((8\/(-24))\/((-2)\/(-6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67403, -67421, -67439?\nAnswer: -67457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17672994?\nAnswer: 2, 3, 271, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/(-49))\/(-4))\/((-9)\/21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 10*x + 0*x - 6 in the form l + t*x and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11237\/11 or 1022?\nAnswer: 11237\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (78600\/250)\/(2\/5).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 283.29483 months?\nAnswer: 23.6079025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 125. Let z be h(0). Let d = z + 40. List the prime factors of d.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 2 x when four letters picked without replacement from ismrxpxp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/20 - 11*u**5\/60 + u**4\/24 + u**3\/2 + 2*u**2 + 1794. Calculate q(3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 4*s**2 - 69*s - 20. Let m(u) = -u**3 + 2*u**2 + 34*u + 11. Determine -6*f(h) - 11*m(h).\nAnswer: -h**3 + 2*h**2 + 40*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0567 + 0.0667. Which is the second smallest value? (a) t (b) -16 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21451, 2\/3, -1\/5, -4, 1\/13 in increasing order.\nAnswer: -4, -1\/5, 1\/13, 2\/3, 21451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236928 + -90032519\/380. What is the common denominator of 11\/152 and y?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.1095816 to three decimal places.\nAnswer: -35.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 4)*(-4)\/(-6). Let c(k) = -5*k**2 - 3*k. Let g be c(m). What is the units digit of 2\/10 - g\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2267*y - 680 + 1272 - 686. Let j be r(-18). Round j to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r - 18. What is h(6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10717911*i**5*x**3 - 2*i*x**3 + 6162*i + 2*x**3 + 84 wrt i?\nAnswer: -214358220*i**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(((m*m**(2\/19)*m)\/m)\/m))\/(m*(m\/(m*(m**5*m)\/m*m))\/m*m*m))\/(m**(-1\/11)\/m)**(2\/17))**(-12\/13) assuming m is positive.\nAnswer: m**(-214164\/46189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 11:25 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-567) + 2\/27)*(-31581)\/319.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2732253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.8055 decades in millennia?\nAnswer: 2.208055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61077*g**3*z + 3*g**3 - g + 779972601*z with respect to g.\nAnswer: 183231*g**2*z + 9*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -709.68 to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a*a)**(-1\/31)*((a**7\/a)\/a*a)\/a**4)\/((a*a**(2\/21))\/(a\/(a\/(a*a**(2\/15)))))**(-21\/5) assuming a is positive.\nAnswer: a**(1326\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*l = 97*l. Let i(m) = 2*m + 3. Let x be i(-2). Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -c - 3, 4*c + 3 = -1. Let q be (0 + -10 - -8)\/(z\/4). Solve 0 = -q*h + 5*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0*k**3 - k**3 - 1 + 0*k**3 + 3*k**2. Let v = 24 - 22. Is o(v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9859721?\nAnswer: 41, 101, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 + 10 + 3*s)*(3 - 5 + 4)*(2*s**2 + 0*s**2 + s**2).\nAnswer: 18*s**3 + 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101565 is divided by 101468?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6110 and 11956800.\nAnswer: 155438400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 7?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 + 6*d. Let v(z) = 5*z**2 - 7*z. Let x(h) = -4*t(h) - 3*v(h). Let g = -22 + 26. Calculate x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -382 - -383. Let n(a) = -5*a**3 + 4*a**2 + 3*a - 5. Let u(i) = -i**3 + i**2 + i - 1. What is x*n(o) - 3*u(o)?\nAnswer: -2*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79a231c + -8?\nAnswer: 79a2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*u + 74, 0*p = -u + 3*p - 10. What is the common denominator of (-2)\/20*(-4 - -1) and ((-138)\/(-26))\/(24\/u)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21762 rounded to two dps?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*v = -15, 3*v = h + 5 + 4. Suppose -5*s + 45 = 15. Let n = 4 - s. Put n, 4, h in decreasing order.\nAnswer: 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 19057?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 - 3*z - 81*z**4 - 1 + 106*z**4 - 155*z**4 + 5*z to the form h*z**2 + f + p*z + b*z**3 + i*z**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 + 179 + 16 + 2 + (-1 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 7. Let j(m) = m - 1. What is 4*h(k) + 28*j(k)?\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17768834 * 13\nAnswer: 230994842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.31 - 67.69. Let u = -245 - -309. Let k = f + u. What is the nearest to 0.1 in 0.4, k, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 29*y + 77*y**2 + 48*y + 77 - 71362*y**3 + 70907*y**3. Let f(d) = 35*d**3 - 6*d**2 - 6*d - 6. Calculate 77*f(b) + 6*z(b).\nAnswer: -35*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 4990.\nAnswer: 14970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1676\/(-168) - -10)\/((-18)\/(-21)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**4 + 16471387*z**3 + 5193*z**2 - 22396?\nAnswer: 144*z + 98828322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - ((-12)\/10)\/((-2)\/(-10)). Suppose 5*n - 89 = 5*y + 41, -g*n + 5*y + 82 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 3*g - 3. Let b(l) be the second derivative of -l**4\/12 - 2*l**3\/3 + 2*l**2 - 26*l. Let c be (-2 - 2)\/(36\/36). What is c*f(r) - 3*b(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.75 + -0.25. What is the second smallest value in 5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 1. Suppose 4*q + 7 = 2*a + 3, 0 = 4*a. What are the prime factors of x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1582812 or -1582821?\nAnswer: -1582812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-308))\/((-1)\/(-7)). Factor 1\/4 + r*z + 1\/4*z**2.\nAnswer: (z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 621\/3898 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62351\/16170 + 120\/539. Let z be -3 + (-4)\/(-30) + 395866\/180. Let r = z + -2190. What is the common denominator of u and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 - 51*h**4 - 126*h**3 + 780*h**2 - 600*h = 0. Calculate h.\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-9 + 33)) + -20 - (-9 - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43470 and 2797605?\nAnswer: 39166470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 12:20 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61260960 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 = 5*o, 2*o = 4*d - 3*o - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 459810*y**2 - 893615?\nAnswer: 919620*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -25*w + 8*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2745, -10961, -24655, -43827?\nAnswer: -68477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1790 + 12955 = f, 0 = -2*p - 5*f + 5569. What is the greatest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.03 (b) -3 (c) -176 (d) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204511553 (base 7) to base 6.\nAnswer: -1111023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3920*k + 253204 = 1531*k - 2316*k + 17954 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 2 k when four letters picked without replacement from nfgfffnkkffgfgfffgfg?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 56797*t**2. Let n(j) = 15*j**2 + 63. Determine n(o(r)).\nAnswer: 48388488135*r**4 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.04 less than 0.06?\nAnswer: -4.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 451 divided by 4\nAnswer: 451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/209 and -49\/40997421?\nAnswer: 450971631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-3)*88\/(-726)*-66*-2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 451550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 - 72. Let n = -267.7 - p. Which is the third smallest value? (a) -0.2 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57920572 less than 57920574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 16. Let g = -2 + x. Solve -1 = a + 5*d + g, -4*d + 16 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441025 (base 6) in base 14?\nAnswer: -d449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -54134540 and 2.\nAnswer: -54134538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 422 + 50 = 0. Suppose -2*p + 5*m + 42 = -5, 95 = 5*p - 5*m. Calculate the remainder when l is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39525709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95976 and 71683408.\nAnswer: 10664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 0*d + 2*d + 6, 5*n + 14 = 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 806937840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -c - m + 2*m, -15 = -5*m. Let n = c - 86. Suppose 4*j + f = -0*j + n, -3*f = 2*j - 41. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/332)\/((-507)\/(-45292)*-134)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 6:52 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 2*w + 3. What is the smallest common multiple of 4 and c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icy when three letters picked without replacement from {x: 1, i: 4, u: 1, y: 2, c: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/5096788 and 1\/76.\nAnswer: 5096788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -53*v + 3. Let u be s(-1). Let a be (-42)\/u + 5\/4. What is the nearest to a in -5, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 - 10*p**2 - 3*p**3 + 166 + 13*p**2 + 22*p**2.\nAnswer: -3*p**3 + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 132*s**2 - 136*s - 321. What is p(-67)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-7)\/(i*i**(-1)))\/(i**(1\/5)\/(i\/(i*(i\/(i*i**(-3\/7)))\/i))))**(2\/77))**(-19\/5) assuming i is positive.\nAnswer: i**(8816\/13475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2033*x**3 - 304*x**3 - 824*x**3 - 310*x**3 - 298*x**3 - 302*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/209 + (-16 - 4308\/(-114) - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308887040 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000152214 rounded to 7 dps?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, -865\/6, -3, -4.75?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 1. Suppose -l = 2*l - 12. Suppose l*v + v = 5. Let s be o(v). Which is the closest to 0? (a) -2\/9 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from camsccammmmmcaccc.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -169. List the prime factors of 14 + d + -16 - -1298.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 3:14 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -15 - 81. Let l(u) = -13 - 3*u - 4 + s. Let g(k) = 5*k + 2. Let b(i) = 6*g(i) + 13*l(i). Give b(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 466 = -2*v, -2*s = v - 231. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 20 - 35 + 14. Let v(p) = 2*p**2 - p - 4. Give 6*f(x) - v(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887*d**2 - 4459*d**2 + 908*d**2 + 862*d**2 + 900*d**2 + 899*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 8. Suppose 7*h + 20 = 12*h. Suppose -2*b + h*p + 52 = 0, -12 = 4*b - 4*p - 100. Let r = b + -24. Give d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**5 - 19*p**5 - 30*p**5 + (p**3 + 0*p + 0*p)*(-4*p**2 - 7 + 7).\nAnswer: -60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14741.\nAnswer: 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/80 and -129\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 28*r**2 - 56*r - 27. Let l be a(30). Solve l*q = 98*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467133169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 286\/(-234) - 2\/9*-1. Let g(c) = -4*c**3 + 2*c**2 - 6*c - 8. Let l be g(j). Let a be -2 - -2 - -1*1. Sort -3, a, -4, l in descending order.\nAnswer: l, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/86526 and 23\/1188?\nAnswer: 519156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0*d**6 - 6*d + d**3 + 0 + 0*d**2 + 1\/42*d**7 + 0*d**5 + 0*d**4. What is the second derivative of z(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 9) in base 13?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 666700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*c**2*w - 6138*b*c**2 + 3*b*c*w - 619*b*c - 6*b*w - 118*c**2*w - 2 wrt c?\nAnswer: -4*b*w - 12276*b - 236*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) - ((-1*sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66))*4))\/(sqrt(72)\/(sqrt(12)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 2 - 18*j - 2296781128*j**3 + 18*j + 2296781125*j**3 - 2.\nAnswer: -3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2.5. Let v = l - 2.2. Let h be 1 + 8\/(-10) - 0. Do h and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let f be 8 + -3 + 0 + 9\/(-3). Solve s + 3 + f = j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:07 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 22. Let a be x(26). Find the third derivative of -21*s**4 - 42*s**a + s**6 + 31*s - 24*s - s**2 wrt s.\nAnswer: 120*s**3 - 1512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -39. Calculate the remainder when c is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/90 and (2\/12 + (-19747)\/735)\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1750. Let d(t) = -2*t - 825. Give d(j(b)).\nAnswer: 2*b - 4325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiiiiguugiuiuui. What is prob of sequence ugg?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639864967 + 895379033 = -93*p. Round p to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-4) - (-1)\/4. Find the second derivative of -6*q - 3*q**g - 15*q**2 + 15*q**2 wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*-4 - -6*(sqrt(91) - sqrt(91)*-2))\/(4*-1*sqrt(252)).\nAnswer: -5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m**3 - 2*m**2 - 11*m - 4. Let s(x) = 4*x**3 - x**2 - 5*x - 3. Determine 5*s(j) - 2*t(j).\nAnswer: 2*j**3 - j**2 - 3*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 (base 13) in base 15?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 12) in base 15?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44293a7 (base 12) to base 11.\nAnswer: -73777a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 73 (b) 9\/31 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 20*g + 7. Let i(z) = -2*z**2 + 10*z - 3. Let j(u) = 3*h(u) + 5*i(u). What is the remainder when j(-10) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/475, -1, -21, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.05. Let v = i + 2.96. Let h = -3\/5 - 3\/20. Which is the closest to -2? (a) 0.1 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03002773 rounded to five decimal places?\nAnswer: -0.03003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:54 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-3) + 1)\/((-1386)\/396). What is the second smallest value in 0.36, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -98. Let d = -49 - -177. Calculate the remainder when d is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52201708241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*w + 4335 = -95*w. Let i = -868 + w. What are the prime factors of i?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*d, 4*d - 89 + 89 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 263. Let a(l) be the third derivative of -l**5\/6 + 4336*l**2. What is k(a(d))?\nAnswer: -10*d**2 - 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 36. Is 11 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/4 - (-40 + 35).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:46 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/14 + (-1)\/(-7). Is c\/(-3) + 50 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3893, -3148, -1905, -164, 2075?\n\"Answer: 249*f**2 - 2*f - 4140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1684*z**3 + 89*z**2 + 1686*z**3 - 40*z**2 - z + 4*z + 55*z**2 to the form s*z + h*z**2 + c*z**3 + j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 48*n**3 + 120*n**2 + 112*n + 36.\nAnswer: 4*(n + 1)**3*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/((-23)\/23)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -100*p + 2. Let z be y(-6). Let i = z - 602. Which is smaller: i or 1\/418?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 626597533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -18. Let i be y\/(-10)*(-2)\/(-21). What is the second smallest value in 1, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + z**5 + (-1 + 0 + 0)*(0*z + 0*z - z**3)*(-2*z - 2*z**2 + 2*z).\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 3 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) + sqrt(204)\/sqrt(1200))**2 - (3 + sqrt(425))).\nAnswer: -5271\/50 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66481, -66482, -66483?\n\"Answer: -s - 66480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061*m + 7649*m - 2 + 4338*m + 2114*m.\nAnswer: 15162*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**3\/3 + 5*w**2\/2 + 2. Does 13 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1839 or 452467?\nAnswer: 452467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, -209, -1646, -4199, -8180, -13901, -21674?\nAnswer: -31811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:27 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = -2*j + z, 0 = 5*j + 4*z + 71. List the prime factors of (0 + 90)\/(((-132)\/16)\/j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k + 155*k - 2 + 14*k - 9 - k**3 + 105*k to the form p*k**2 + l + c*k + x*k**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**5 + 99282*a**2 - 1057357*a wrt a?\nAnswer: -60*a**3 + 198564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**2 - 2 + 2)*((-y**2 + y**2 + y**2)*(0*y - y + 0*y) - 4*y**2 + 4*y**2 - 7*y**3).\nAnswer: -56*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -402394.7089503.\nAnswer: -402399.7089503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(605) + sqrt(605) + -1 + 4 + (sqrt(605) - 2*sqrt(605)) - (5 + 0 + sqrt(320) + 2))**2.\nAnswer: -12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12401304 (base 5) to base 16\nAnswer: 1dcdf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48896 and 52933.\nAnswer: 101829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 4. Let o be k(1). Let a be 36\/o*-1*2998. Let w = -7291 + a. Round w to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204456 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-1\/7)*u*u**(-5)*u*u**(-2\/33))**(1\/30) assuming u is positive.\nAnswer: u**(-1003\/9702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgefgfgfrhghe. What is prob of sequence gfhh?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -30273?\nAnswer: -30271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(2)) + (sqrt(110)\/(-3*sqrt(10)))**2.\nAnswer: -sqrt(11)\/2 + 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:19 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17234591 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -31. Let f(s) be the first derivative of -s**3\/3 + 3*s**2 + s - 1. Let j be f(5). Calculate the highest common divisor of j and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*j**5 + 49*j**5 - 77*j**5)*(6 + 11 + 7).\nAnswer: -1728*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 < 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(-2*2\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5765.099499 rounded to the nearest 10?\nAnswer: 5770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*76222.8\nAnswer: 30489.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*p - 2*p + 1026, p = 3*k + 504. List the prime factors of p.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2650)\/8 - (-6)\/24. Let g = t - -1955\/6. Let h = g + 205\/42. Is -0.036 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49260 and 16260.\nAnswer: 13349460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2134 + -2136. Is d greater than or equal to -573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44, 30, 16, 2, -12?\n\"Answer: -14*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -15*z**5 + 54909*z**4 + 627321*z**3 + 2169567*z**2 + 2147970*z + 550800 = 0.\nAnswer: -5, -1, -2\/5, 3672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 - 891\/(-90))*(15 - 5). Let z(x) = 43*x**3 - 86*x. Let y(o) = o**3 - o. Calculate k*z(q) + 86*y(q).\nAnswer: 43*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnn when three letters picked without replacement from ooolrqnnnoennoelno?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 36. What is y(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/621 and 38\/865.\nAnswer: 537165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166\/1769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 118462 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 100851*w**2 + 3323682*w + 38084256.\nAnswer: 3*(w - 33584)*(w - 42)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 90929, 181990, 273051, 364112, 455173, 546234?\n\"Answer: 91061*o - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 20, -11*t = -13*t + 2*k - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -40464.915 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722403 < -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 31*k**2 + 12*k - 57. Determine a(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -145, -284, -425, -568, -713?\n\"Answer: -c**2 - 136*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20130 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 335074212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1001145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13142628 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z + 2*k = 19, -4*k = z + 7. Suppose 0*v + 3*n + 34 = z*v, 3*v + 3*n = 6. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -484, -683, -884?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*10\/30*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -1159*s**5\/30 + 119*s**4\/4 + s**3\/3 - 667*s**2. What is the second derivative of p(h) wrt h?\nAnswer: -4636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2*d + 2*d)*(-5 + 5 - 3*d) as x + b*d**2 + a*d and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 110374?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0 - 4*z**2 - z + 1\/30*z**5 + 8\/3*z**3 + 0*z**4 + 1\/30*z**6. Differentiate s(w) with respect to w.\nAnswer: 12*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485.6 + -447. Let l = -39 + z. What is the nearest to -2 in 0.2, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -10. Solve p - 2 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 5*n - 363 + 122 + 114 + 127.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {b: 7, m: 2, q: 4, u: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7755\/(-705) + 25 + 0. Solve -f*d + 65 - 149 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 61 = -r, -r - 75 = a - 6*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*5*79*45\/((-1080)\/(-24))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - y = 3099, -4*z - 21*y + 2479 = -22*y. Suppose -22*p - 417 = -2*m - 21*p, -4*p + z = 3*m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/59))\/s)**(2\/81) assuming s is positive.\nAnswer: s**(-4\/4779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*i + 15364 + 45723 - 16063 = -615*i for i.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 566 * 94088.\nAnswer: 53253808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48635, 97290, 145945, 194600?\n\"Answer: 48655*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -20*w**5 + 1788*w**4 - 2372*w**3 - 8076*w**2 - 1784*w + 2112 = 0.\nAnswer: -1, 2\/5, 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 - 6*j**2 + 13*j**2. Let q(k) = -2*k**2. What is a(q(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-9))\/((-3)\/54). Let d = h - 2. Suppose 0 = 5*k - d*u - 1 + 4, 3*k - 5*u = -7. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5*t**3 + 0 + 4\/5*t**4 + 8\/5*t + 8\/5*t**2.\nAnswer: 2*t*(t - 2)**2*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -17*y - 11637. Suppose -y = -8*d + 6785. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 108474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.119 litres to millilitres.\nAnswer: 178119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 143142030237 - -332\nAnswer: 143142030569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 2*k - 1. Suppose -5*z + 2 + 3 = 0. Let t be b(z). Solve t = 3*r - d + 2, d + 2 = r - 2*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 greater than -306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 32634 in ascending order.\nAnswer: -10, -2, 32634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18373, -36516, -54657, -72796, -90933?\n\"Answer: g**2 - 18146*g - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 648761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-9 - -4 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 20, -5*n = 5*w - 0*n - 10. What is the greatest common factor of w and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -171667.\nAnswer: -171665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = 5*w, -43 = 4*b + w - 2*w. Sort 1, 4, b in decreasing order.\nAnswer: 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*r - 10101*j**3 - 1261*r + 4 with respect to r.\nAnswer: 2*j**3 - 1261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r - 1. Let a be w(3). Let u be a*3 - (-5 - -2). Suppose h + u - 15 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 156. Let d be ((p\/(-4))\/3)\/((-11)\/110). Suppose -15 - d = -x. What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 207*j - 1063. Calculate z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -2, -1, 0?\n\"Answer: l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*h + 2, -2*w - 7 - 13 = -4*h. Solve 10*m + 10 = -4*q + 15*m, -2*m = -3*q - w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -1, -5, 166\/11, -0.011?\nAnswer: 166\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3)*(16*h + 41*h + 19*h) + 3*h - 2*h + 0*h - h + 3*h + 0*h + (4 - 5 + 2)*(-2 + h + 2) to the form b + y*h and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 8 + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - 23*h**2 + 12*h - 7. Let f(c) = -2*c**3 + 8*c**2 - 4*c + 2. Let p(r) = 8*f(r) + 3*z(r). List the prime factors of p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by 98508.\nAnswer: 29\/32836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (36\/10)\/((-14)\/10185*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6171, 12342, 18513, 24684, 30855?\n\"Answer: 6171*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -76, 36, -878, 0.3.\nAnswer: -878, -76, -5, 0.3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121629727?\nAnswer: 23, 5288249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/35, -1, 10.38, -0.2 in decreasing order.\nAnswer: 10.38, -3\/35, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 182, -5, -27, 4, -1, 1 in descending order.\nAnswer: 182, 28, 4, 1, -1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1150 * -0.04\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*s - 215 - 80 = 0. Sort -16, s, -7, 4 in decreasing order.\nAnswer: s, 4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10) - 2658\/15. Let d be 2\/8 - a\/12. Let o be (4 - 3)\/(2\/10). What is the highest common factor of d and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(3*d**5 - 5*d**5 + 4*d**5) + (d**4 - 6*d**4 + 4*d**4)*(-2 + 3*d + 2) - 2*d**5 + 3*d**5 + 2*d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from hiiiiiiiiiiiiii?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*d - 25. Calculate the smallest common multiple of d and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19642801637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54114 take away 7?\nAnswer: -54121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 22 + 14 - 98*w**3 + 182*w**3.\nAnswer: 84*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**2 + 0*y**3 + 0*y + 1\/2*y**5 + 4 + 1\/3*y**6 + 1\/8*y**4. Find w, given that c(w) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 13*k - 68. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43934208.\nAnswer: 2, 3, 28603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-23 + 55) - 9 - 3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73.556 * 4.\nAnswer: 294.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-12)*(-16 - (9 + (-1976)\/80)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2 + 42070*y - 47747755 = 0. What is y?\nAnswer: -9427, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 84810953 and 84810953 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 772 + -1 + 8\/(-8). Let z(i) = i**2 + 9*i - 19. Let k be z(-11). Suppose -5*h + d = -5*a, k*h = -5*a + 351 + 71. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 - 655 + 2073 - 715 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/2, -4, 1\/3, 3\/22, -2\/15 in ascending order.\nAnswer: -4, -2\/15, 3\/22, 1\/3, 25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 - 16125*t\/2 - 2376609.\nAnswer: -3*(t + 313)*(t + 5062)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5034812ml?\nAnswer: 0.0005034812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -923100 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 2*z + 3*z)*(-52 + 93 - 54)*(-3 + 0 + 1).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p + 31. Let h(q) = -17*q + 34. Let v(t) = -4*h(t) + 5*u(t). Let o(s) = 2*s**2. Calculate v(o(l)).\nAnswer: -4*l**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 9*v**2 + 5*v + 9. Let k be o(8). Let p be 5*((-6)\/k + 0). Suppose -p*q + 5*q = 21. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8681.0004964 - 8681. Round b to 5 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1227915*b - 279368.\nAnswer: 1227915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 23*j - 16. Calculate the remainder when z(16) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/15 (b) 0.02 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 524 * -0.02277\nAnswer: -11.93148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose 9 = k*c + c. Solve 0 = -3*z + c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -a0796?\nAnswer: a0787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7213*f**3 + f**2 + 23*f + 21 wrt f.\nAnswer: -43278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2144 = -4*f - 5*p, -2*f + 4*p + 580 = -518. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 2 - (-2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/629 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - a + 3*a + (6*a + 9 - 9)*(1 + 0 + 3) to the form r + f*a and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4*(-6)\/(-48)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113102 + -213100. Let i be g*(-1)\/2 + 1. Suppose -5*r + 6*r + i = 0. Round r to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 43777.\nAnswer: 282\/43777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/15)\/(21\/(-15) - -1). Suppose 0 - r*g + 6 - 8*g**2 + 4*g**2 + g**2 = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 1. Let g = l - 12. Suppose 2*m + r = 4, 11 = g*m - r + 4*r. Which is the closest to -1? (a) 0.5 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -257649 (c) 8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-648)\/540)\/(12\/980)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(-8)\/10. Suppose 3*o = m*o. Let g = 2 + o. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 371076428869 and 9.3.\nAnswer: 371076428878.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 (base 9) in base 4?\nAnswer: -10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 12}. Give prob of sequence cp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 - -3?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 26*b**2 + 28*b - 29. Is x(12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/2894108147?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2118 + 2115 = -3*l. Sort l, -2, -37 in ascending order.\nAnswer: -37, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6*y - 159118*x**3*y - x**3 - 2*x**2*y + 2697*x**2 - 141*x - y wrt x.\nAnswer: -120*x**3*y - 954708*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 0.3, 2, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 30.04. Which is smaller: k or 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 12044?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 17*s - 16. Let l be b(-10). Solve -3*k - x = -2*k + 5, 2*k + 4*x = -l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 34452?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 + 312*s**2 + 1635*s = 0 for s.\nAnswer: -5, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -607.6.\nAnswer: 10329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1680 - 1680. Solve 4*a - 1 = 2*d + 9, a + d + 2 = w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-96 + (-670)\/(-10))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25b2a (base 16) to base 15\nAnswer: 30b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = q + 2*z - 242, 5*q - 717 = 2*z. Let g = q + -74. Let h = -34 + g. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.99 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 153810739 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, b: 4, r: 3}. What is prob of picking 1 b and 1 r?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -830 - -820. Let r(m) = -m**3 - 10*m**2 + 5*m - 5. Give r(h).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30739 = -53*j + 17544. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -10. Let p(b) = 8*b**3. Calculate the lowest common multiple of p(k) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -130*f + 122*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*(-1 + -29). Suppose o + 4*o + r = 0. Let s be 3*(-1 + 2 - 0). Put o, -1, s in descending order.\nAnswer: s, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -4131, -12817, -29033, -55119, -93415, -146261?\nAnswer: -215997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from {k: 1, p: 3, u: 2, h: 1, x: 3, b: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (((-6)\/(-459))\/((-130)\/(-1170)) - (-151)\/17)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171181 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24638.2042 - 2133.4\nAnswer: 22504.8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h - 1. Let l(c) = 3*c**2 - 2*c + 8. Suppose -3*w - 4*s + 7 = -6*s, -3*w - 1 = 2*s. Let f(q) = w*l(q) + 4*i(q). Determine f(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*i - 4*f - 179, 5*i = 2*f + 245. Calculate the highest common factor of 323 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 5128026?\nAnswer: 5128015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 55 - 19. Let y = l - -29. Suppose 3*o = 4*o - y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522593696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27710 + 40900. What are the prime factors of t?\nAnswer: 2, 5, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 4. Let s be 1\/(1 - l\/(-6)). What is the third derivative of -13*w**2 + 10*w**s + 2*w**4 + 2*w**4 wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/4 - (-899)\/186\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -343427 and -0.365?\nAnswer: 343426.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:41 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 14*b**2 - 16*b - 12. Let u be o(-15). Solve -q + u = -0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.14 (b) 14 (c) 38 (d) -3\/5 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-169)\/13 + 15). Let u(y) be the first derivative of -3\/2*y**2 + 0*y**3 + 0*y - 19 + a*y**4 + 3\/5*y**5. What is the second derivative of u(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6825.1324 minus -0.4?\nAnswer: -6824.7324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 9*a + 12. Does 7 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402 (base 7) to base 9.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 916, 3622, 8072, 14218, 22012, 31406?\nAnswer: 42352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/u)**(1\/57)*u**(-2\/13)*u**(-1\/3)*(u**0)**(8\/17)\/(u*u\/u**5*u\/u**(-7)) assuming u is positive.\nAnswer: u**(-8171\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153014 - -153015.61038. Round o to 2 decimal places.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 + -41424?\nAnswer: -41123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 189980593 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 5*u**3 - 5*u**4)*(-28 + 21 - 54)*(-1 - 2 + 5).\nAnswer: 610*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + 8 - (-15 + 11 + 0 - 38)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -0*b - 6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -14. Let y be 126\/27 - 4\/r. Put -5, y, 5 in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**5\/30 - 7*c**4\/24 + c**2\/2 + 7. Let h(z) be the second derivative of d(z). What is the second derivative of h(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7))**(-5\/9)\/(((u**(1\/4)\/u)\/u)\/u)**(-1\/13) assuming u is positive.\nAnswer: u**(29\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/22*(-14)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16427 - 16426.91907. Round l to three dps.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4090435, 4090415, 4090381, 4090333, 4090271, 4090195, 4090105?\nAnswer: 4090001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z. Let m(d) = -d - 1. Determine 4*m(u) + p(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111122102020100 (base 3) to base 6.\nAnswer: -415231530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x = -62*x + 7230. What is the third derivative of -58*l**2 + 723*l - x*l + 220*l**4 wrt l?\nAnswer: 5280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/15425324 and 131\/24.\nAnswer: 92551944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from dooxxxnozon.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1351789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Suppose -t + 6*q - n*q = -1, -5 = -q. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83527 is divided by 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 2*m + 2. Let b(g) = g**2 + g - 1. Let k(v) = 5*b(v) + 3*y(v). Let f(i) = i**2 + 2*i. Let t = 95 - 136. Let x = t + 39. Give x*k(l) - f(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 7*c**2 + 12*c - 12. Let y be a(8). Suppose -5*h = y + 5. Let x(p) = p**2 + 5*p - 3. Give x(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*v - 5*v - 78, -2*x + 42 = 5*v. Let w = x - 6. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 11 = 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-360)*229\/5 - -25.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.5, 2\/15, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 2, p: 2, b: 1, e: 1, h: 2, r: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1227 * -5.\nAnswer: -6135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12832a - 0?\nAnswer: -12832a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c = c + 87 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12888 - 6564. List the prime factors of r.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2967.\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-48)*(-143)\/429.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1695 - -1692. Let j(m) = -2*m**2 + 3*m - 2. Let p(t) = 2*t**2 + 5*t - 4 - 3*t**2 - 3*t**2. What is h*p(q) + 5*j(q)?\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5)*-2)\/(31\/(22320\/(-27)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -14 + 12. Sort -50, -4, 5, -1, u in ascending order.\nAnswer: -50, -4, -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/7, -5, -1, 2.3, 25482?\nAnswer: 25482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h + 10*h + 13*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 157*g**2 + 6*g - 3. Let z(p) = -41134*p**2 - 1570*p + 785. Let l(h) = -785*d(h) - 3*z(h). Let y(x) = -6*x. Give l(y(f)).\nAnswer: 5652*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.932632783 to three dps.\nAnswer: -15.933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 132. Suppose -3*i + s + 65 = 0, 2*i + i + 5*s = 89. Let a = o - i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, -0.1, -42 in decreasing order.\nAnswer: -0.1, -7\/6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 4. Let a be i(4). Suppose 0 = -0*b + 2*b - a. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -6*w**3 + 199. Let s(y) be the first derivative of y**3\/3 - 2. Give s(x(p)).\nAnswer: 324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 - -212. What is the second derivative of -7*m**5 - 4*m**v - 14574*m - 35 + 14573*m - 24*m**5 wrt m?\nAnswer: -620*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28892 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -931*t + 911. Calculate u(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + a - 5*a**3 - 3*a + a**2 - 4*a**3 in the form z*a**2 + v*a**3 + u*a + x and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59108 and 24046401?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1\/4)\/x)\/x)**18\/(x**(-6)*x*(x\/x**(1\/2)*x)\/x))\/(x**(1\/8)\/((x\/(x*x**(2\/7))*x)\/x)*(x**(1\/4)*x)\/x**(-5)) assuming x is positive.\nAnswer: x**(-1381\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.054, -5, 0.2?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnqnwngqgjjcjgj. What is prob of sequence nqj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 2381000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 - t. Let a = 18 - 17. What is f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*(((i*i\/(i\/(i*(i**(-2\/7)*i)\/i)))\/i)\/i*i)\/i)\/(i**0)**(-46) assuming i is positive.\nAnswer: i**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30870 + 57?\nAnswer: 30927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 58743750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 1\/8, 8, -0.4, -3\/4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - o + 6. What is x(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/35532 and -13\/9072?\nAnswer: 426384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035424 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(11\/((-110)\/(-3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48012.0165 + -47966. Let j = r + -46. What is j rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 18 = 3*z. What is the first derivative of -1240 + 2*g + 1427 + 0*g**2 + z*g**2 wrt g?\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 60*o**3 - 217*o + 246*o - 29*o.\nAnswer: 60*o**3 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*n - a, -2*n + 4*a + 2771 = 2747 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(36\/999)*(-48)\/(-9). What is the greatest common divisor of 111 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - (0 + 4 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + (-3 - 0)) - (14 + 6 + -56)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**2 - 3\/4*k**4 - 1 + k + 0*k**3. What is the derivative of u(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqqrqqqrnnqrrqrqq. Give prob of picking 4 q.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 8*k - 10. Suppose 3*d + m = -24, 5*d - 2*d = m - 30. Let h be i(d). Let n be 216\/14 + h\/((-21)\/(-9)). Solve n = -g - 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 + 4*u**2 - 4*u**2)*(-7*u + 8*u + 9*u) + (-2*u**2 + u**2 - 3*u**2)*(u**2 - 2*u**2 - 3*u**2).\nAnswer: -54*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36961, -38725, -40489, -42253, -44017?\n\"Answer: -1764*j - 35197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 7308?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 2. Let g be s(-2). Calculate the lowest common multiple of 14 and 2\/4*(40 + g).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-14)\/(-4)) - 3. Let c be (2 - a) + -2 + 20. Suppose -2*s = -3 - c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000033946 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + m**4 - 1094 - 289908243*m**2 + 289908245*m**2 + 0*m**4 to k*m**4 + c*m**2 + g + r*m + n*m**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*j - 25, p + 13 = -4*j + 6*p. Suppose 0 = -41*z - j*z - 329120000. Round z to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let x(r) = -r + 0*r + 3*r + 0*r. Determine x(f(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d**2)*(2*d**2 - 8*d**2 - d**2).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-10\/3))\/r)\/(r\/(r\/(r**(-1\/19)*r*r)))*((r\/((r*r**23)\/r))\/r)\/r**(-1\/43))**39 assuming r is positive.\nAnswer: r**(-900367\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2. Let a(l) = -5934*l**2. Give a(d(z)).\nAnswer: -480654*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/94234138 and -49\/4.\nAnswer: 188468276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-560)\/(-84)*(238\/132 - (-70)\/(-42)). Factor k*m**3 - 24\/11*m**2 + 12\/11 - 2*m.\nAnswer: 2*(m - 3)*(m + 1)*(5*m - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -136. Suppose -4*n = 3*w - 20, -6*n + n - 4*w = -26. Calculate the least common multiple of n and 3\/(-3 + j\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5867904.\nAnswer: 2, 3, 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/25*(-190)\/(-57).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-6))\/((-87)\/(-2))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - 2.98. Let i = 0.1 - -0.3. Let m = i - 0. What is the second smallest value in m, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14891 = 194*n - 45970 - 16739. Calculate the highest common factor of n and 11360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20108 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -13, -8, -1, 8, 19?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2. Let s(f) be the third derivative of 0*f**3 + 0*f + 1\/4*f**4 - 4*f**2 + 0. Calculate s(z(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -1 (c) -2781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 267*v - 2056. Give d(7).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 - 1038\/5. Let t = 1 - -1. Suppose -t*m - 4 = -2*w, -m - 3 = 3*w - 1. Is v at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*p + 1. Let c(n) = n - 2. Let i be c(p). Is 4 a factor of i\/10 + 59\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 26885*s + 26880.\nAnswer: 5*(s - 5376)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5248120 is divided by 291562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(-12*28\/(-448))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let h(m) = -24139*m**2 - 404*m - 404. Let c(p) = 298*p**2 + 5*p + 5. Let l(v) = 404*c(v) + 5*h(v). Calculate s(l(w)).\nAnswer: -183618*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.468 (b) -3\/16 (c) 1 (d) -27\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b + 61. Let u(t) = 5*t + 58. Calculate 4*l(k) - 5*u(k).\nAnswer: -k - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62*o + 13*o - 21*o + 3)*(-2 - 2 + 0) to the form b*o + q and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - y = 6, 0 = -q - y - 1 - 1. Suppose 37*t - 64*t = 54*t. Sort t, q, -15 in decreasing order.\nAnswer: q, t, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6599*w = 6601*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 109919586?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 34\/(-8). Let o(y) = 6*y**2 + y - 6. Let w(g) = -7*g**2 + 8. Let a(c) = -6*o(c) - 5*w(c). Let s be a(u). Is 18\/5 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 - -370. What is the greatest common factor of 42 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.294594 litres?\nAnswer: 294.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -125, -187, -249, -311?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = -4*m, j - 2*m = -j + 20. Calculate the remainder when (j\/(-4))\/(2\/(-68)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 256*c - 35. Is i(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 5, k: 3, a: 1, p: 1, q: 2}. Give prob of sequence ct.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5198410*l**2 - 4315509 wrt l.\nAnswer: 10396820*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9934.249 hours to microseconds.\nAnswer: 35763296400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 5, b: 2}. What is prob of sequence opb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (8 - (-28 + 11 + 22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*i - t, -123 + 25 = -4*i - 5*t. Let d = i - 24. Suppose -6*w + w = -d*w. Solve w*n + n + 1 = -z, -4 = 2*z + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(35)\/(sqrt(112)*-3)*-3 + 4.\nAnswer: -sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -78909 divided by -3?\nAnswer: 26303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7 take away -368.5767?\nAnswer: 375.2767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -31, -52?\n\"Answer: -21*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 32. Let t = -21 + n. Solve 4*j + 0 = -t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59982.9 millilitres?\nAnswer: 59.9829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 109, 117, 103, 61, -15, -131, -293?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -638, -637, -636, -635?\n\"Answer: i - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.16 + -72.84. Let p = -116 - j. Let f = -42.00000073 - p. What is f rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - -3?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from imm.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -9*m**7\/70 - m**4\/6 - 24*m**2. What is the second derivative of i(o) wrt o?\nAnswer: -324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -5, -2\/13, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 10*j**2 - j + 7*j**2 + 341*j**3 + 5*j**2.\nAnswer: 341*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -136, -207, -280, -355, -432, -511?\n\"Answer: -v**2 - 66*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - (-9)\/(-7). Let z = 3 + o. Suppose -12 = j + z*w + 2*w, 3*w - 25 = -5*j. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4551 - -4550.9985732. Round h to 5 dps.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzfzzzf?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/8, -0.4, 209.\nAnswer: -0.4, 1\/8, 2, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = -4*v. Let n(x) = 6*x - 20. Let g(q) = 10*q - 17. Let l be g(2). Let j be n(l). Put -3, j, v in increasing order.\nAnswer: v, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 8*r + 18*r. Solve 4*k - 205*a = -207*a - 2, r = -k - a + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 34. Let h be g(-9). Solve 0 = -5*b + h*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 o when four letters picked without replacement from {j: 2, k: 5, o: 8, d: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-12 - 28175910\/15). Round w to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f36 (base 16) to base 2.\nAnswer: 1111100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maxmmmxuexmmemxx. Give prob of sequence emm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + 1. Let g(c) = 29*c**3 + 2*c**2 + 1. Calculate g(t) - p(t).\nAnswer: 28*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*y**5 + 2*y**4 - 38*y**2?\nAnswer: 26760*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h**3 + 31*h + 208. Let u(v) = 7*v**3 - v**2 - 15*v - 104. Let s(a) = -6*r(a) - 13*u(a). What is the remainder when s(14) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.2489 millilitres in litres?\nAnswer: 0.9332489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127349.\nAnswer: 347, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -7 (c) -11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k - 5. Let w be l(4). Let f be -40*1*(4 - (-189)\/(-36)). Suppose 0*b = w*t + 2*b + 35, 0 = -4*t - b - f. Is -14 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = 0. Let i be 0 - h - -108 - -2. Suppose -y + i = f + 4*f, 2*y = -5*f + 110. Calculate the smallest common multiple of 6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 + 1284*s - 137388 = 0. Calculate s.\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, 0.4, -0.214?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:34 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - o**2 - o + 5. Let y be u(0). Let i(j) = j - 4. Let h be i(y). Let c = h - -4. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 4) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let s(u) be the third derivative of -u**4\/12 + 13*u**2. Give o(s(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 4)*-1 + 4. Suppose -2*q - j*o + 16 = q, -2 = -o. Suppose -w = q*w - 185. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 110*y**2 + 81*y**2 + 72*y**2 + 77*y**2.\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-310334)\/16 - ((-5)\/(-40) + 0). Let d = -12776 - p. What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-8))\/(-1 + (-18)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 20 + 3)*(-4*m**2 + 110*m**2 + 161*m**2) to the form u + f*m + o*m**2 and give o.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -303970, -607940, -911910?\n\"Answer: -303970*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 1199805*t - 136712790.\nAnswer: -5*(t - 239847)*(t - 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/9573368 + 61729076009\/2728409880. Let l = p - -4\/95. Calculate the common denominator of -59\/10 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 8:15 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0)\/(((-12464)\/532)\/82).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -2239.\nAnswer: -40\/2239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 + 6 + -3. Suppose -8 + 14*l**2 + 9*l**3 - u*l**4 - 8*l + 3*l**3 - 6*l**3 + 2*l**3 = 0. What is l?\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -z + 2*c - 241, 0 = -2*z + 5*c - 470. Let k be -2 + (1 - 2 - z). Suppose -k = -4*g + 302. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + -8 + (13 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*n - 7 = 65*n. Let s be 2 - (-180 + n + -6). Are 181 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-12))\/((-3)\/(-12)). Let h(j) = 2*j + 6. Give h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 347418 + -80335. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3331102332?\nAnswer: -3331103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, j: 11}. What is prob of sequence pjjp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:03 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/(-15))\/9*(-180)\/(-54).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 + 29*n - 199. What is the tens digit of m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -68 - (-11 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 45860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -29, -6, 35, 100?\n\"Answer: r**3 + 4*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 710621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35052448*g**3 - 13584795*g**2.\nAnswer: 210314688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 683*z**9\/504 - 41*z**5\/20 - z**3\/2 + 762*z**2 + 2*z. Find the third derivative of k(r) wrt r.\nAnswer: 81960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let n(g) = -8*g + 15*g**2 - g + 9*g. Calculate r(n(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793)*2*4*-5)\/(sqrt(108)*3 + sqrt(108) - sqrt(18)\/(sqrt(6) - sqrt(6)*-2)).\nAnswer: -840*sqrt(19)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**5 - 219*h**4 + 747*h**3 + 675*h**2 - 300*h = 0 for h.\nAnswer: -1, 0, 1\/3, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/56*4\/6)\/(-1). Let f = -0.292 + -1.118. Let d = -1.4 - f. Which is greater: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 55\/25 - 8\/(-10). Suppose 4*g = 39 - o. Let f be (g\/(-6))\/((-69)\/4). Are 0 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.74361255 and 1.\nAnswer: 0.25638745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17511 is divided by 5813?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -34*q + 47*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 600*p**2 + 20892*p - 44160.\nAnswer: -3*(p - 230)*(p - 2)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 607 - 313 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18255749189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221003 (base 4) in base 12?\nAnswer: 35997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0235 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44440 is divided by 123?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (267\/165)\/(-15 - (-1130)\/75). Is b less than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 4*h, 3*h - 24 = 7*h + 4*m. Let v = -14 - h. Let t be v*(40\/15 + -3). Solve 0 = -t*p + 5*o + 5, 0 = 4*p + 3*o + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 6*p + 23*p - 390742. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3393489 and -45\/799.\nAnswer: 159493983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - t + 2 = -c, 120*c - 8 = 124*c - t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*6\/(-56)*7. What is the closest to -0.03 in w, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apppppaaapppap. Give prob of picking 2 a.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -1584*q + 1606*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**2 + 107*o**2 + 185*o**2 + 70*o**2 - 41*o**2.\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 10*g - 9*g. Let i be -45*-3*(-4)\/g. Let v = -8 + 8. Solve v = 4*t - 7*t - i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 2*i - 3*c - 8, 0 = 2*i - 2*c. Suppose 2*z + 21 = -14*b + 15*b, z - 120 = -i*b. Let r = 26 + -11. What is the remainder when b is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8*t + 3*t + 2605, y = 3*t - 1562. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 0.14.\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -1.1. Which is the closest to 0.5? (a) 2 (b) 1\/7 (c) 5\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v + 2. Let j be ((-219)\/(-292))\/((-21)\/12 + 2). Let m(d) = -d + 1. Give j*m(p) - g(p).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2 + (0 + 3 - 4)*(-3 + 5 - 4) + 1 + 0 - 2)*(-13*i**5 + 5*i**5 - i**3 + 2*i**5).\nAnswer: -18*i**5 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j - 180. Let v = j - -19. What are the prime factors of (-4)\/26 + (-134)\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 75. Let b be -4*y\/4 + 6. Let d be (195 + (-15)\/(-3))*461\/b. What is d rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19\/10 - -2\/5. What is the nearest to 0 in 2\/5, l, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + i + 1. Let f be x(-1). Let t be f + -81*(-2 + 0). What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/22391951 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 9, 2 in descending order.\nAnswer: 10, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from pfnqg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 w when four letters picked without replacement from rwuwzrpu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - -22. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -426*(24\/108 + (-14)\/9). Let p = f - 569. Sort 2, 1, p, -17 in increasing order.\nAnswer: -17, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*f + 9 = 0, g - f + 1 = f. Let i = 2 - g. Let s = 0 - 3. Sort -0.5, s, i in ascending order.\nAnswer: s, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*i - 17 = -b, 2*i + 6*b - b - 23 - 23 = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -2. Let y = p + -5.7. Let x = -0.29 - -3.29. Which is the second biggest value? (a) y (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 20*v - 13)*(v - 2*v - v)*(v + 4*v**3 - v**3 - 2*v).\nAnswer: 120*v**5 - 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + 7277.38323.\nAnswer: 7144.38323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2967287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*n = -2760, 2*n + 687 = -74*c + 75*c. What is the remainder when 708 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-7)\/(-196)*(-35)\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 85\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -6 in decreasing order.\nAnswer: 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4403, -8804, -13205, -17606?\nAnswer: -22007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.027 - 0.002. Let p = k + -0.065. Let x = 0.0399964 + p. What is x rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b**3 + 592*b**2 + 6*b - 202. Give i(37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(252))**2*2 + sqrt(252))*-6.\nAnswer: -3036 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-3)\/3)*((-108)\/21 - -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 4. Suppose -2 = -i + z*c - 10, -i + 5*c = 10. Suppose i + 20 = h. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**5 - 10*r**4 + 75*r**3.\nAnswer: -5*r**3*(r - 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-3 + -1) - 1) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 13267*c + 3*c**3 + c**2 + 13267*c.\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -126*o + 107676 - 36147. What is the remainder when o is divided by 212?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 - 5 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + s - 6*s**3 + 4*s**3 + 0*s as o + f*s + x*s**3 + p*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 + 13)) + 8 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.4, -1\/1186, -7, -0.5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3838)\/(-8) + (-6)\/6. Let s = 464 - k. Calculate the common denominator of 43\/2 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n**2 - 2*n**2 + n**2 + 1 + 2*n**2 - 1 + (1 - 1 - 2*n)*(-4*n + 0*n + 2*n) + 0*n**2 + 2*n**2 + 0*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -3\/7, 0, 4, -0.088?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, i: 3, f: 2, o: 3, r: 2}. Give prob of picking 1 o, 1 r, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/12*(-105)\/(-735).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 + 311. Let g = 7 - 4. Suppose -2*q = y + 3*y - 28, -g*y - 63 = -2*q. Calculate the remainder when c is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195632345423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (-4 - -2) + -3 - 11) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6932 + 26?\nAnswer: 6958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1705 + 1705 - 7*p + 3*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqtppqpppppoopppppt. Give prob of sequence qoo.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcovoooovzvoccovomoo. What is prob of sequence mccc?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjz when four letters picked without replacement from {s: 1, j: 3, c: 1, z: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -52 + (1 - 3) + (-1 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-39)\/52)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 111.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(288) + sqrt(12)\/(sqrt(6)*-2) + 4)**2.\nAnswer: 235*sqrt(2) + 2259\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8))**(-22) assuming z is positive.\nAnswer: z**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {c: 4, s: 4, o: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -407 (base 14) to base 10.\nAnswer: -791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/38 or 0?\nAnswer: -17\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 divided by 24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1406\/(-76) + 20)\/((-5)\/150).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012076 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7020503*c**4 - 6022819 wrt c?\nAnswer: 28082012*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5061774, 5061773, 5061772?\n\"Answer: -t + 5061775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998 = 2*x + m, 5*x - 2*m = 1380 + 1115. Let f = x + 208. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12744.49 minutes?\nAnswer: 764669400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - r + 5, 410 = 5*n - 5*r + 415 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -583*p - 59. What is the units digit of l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -2 - sqrt(1100))**2*-6 - sqrt(1100) - (1*(sqrt(11) + sqrt(1331) + 0 + sqrt(11)))**2.\nAnswer: -1883 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 7358*t**2 - 22075*t\/3.\nAnswer: t*(t - 22075)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/6 + 347*f - 2083\/6 = 0.\nAnswer: -2083, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648.8383 minutes to microseconds.\nAnswer: 38930298000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 624*c**2 + 24948*c - 47432.\nAnswer: 4*(c - 77)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 + 7*k**2 + 368*k - 798. Give y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7296484 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x**2 - 9*x + 11. Let h(k) = -15*k**2 + 5*k - 6. Let c(m) = 11*h(m) + 6*n(m). What is the remainder when c(1) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -95, -105, -115, -125?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {s: 5, c: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-3)\/9*(-72)\/(-272)). Solve 18*i = -52 + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:12 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71256 + -71251. Let x(w) = -6*w**2 - w - 1. Let r be x(-1). Let q = 61\/2 + -30. Sort n, q, r.\nAnswer: r, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -4, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-35)*(-70)\/60.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 50*s + 1. Let p be w(-25). Which is smaller: -9\/34 or p?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34 and -38157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b*r**3*w - b*r**2*w**2 + 2*b*r - 27*r**3*w**3 - 2*r**3 + 3*r**2*w**3 + 16170*r**2*w wrt r?\nAnswer: 66*b*w - 162*w**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 13 = -2*d, 8 = u - 2*d + 15. Let j be (-288)\/(-30) - 2\/u. Solve m + 5 = -r - 0*r, 3*m + j = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 156? (a) 0.2 (b) 22 (c) -3 (d) 187 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -134, -14945 in ascending order.\nAnswer: -14945, -134, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73518 - -3528737\/48. Calculate the common denominator of 61\/138 and x.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 21. Let u(z) be the third derivative of z**8\/10080 + 2*z**5\/5 - 69*z**2 - 2. Let s(n) be the third derivative of u(n). What is s(d(g))?\nAnswer: 8*g**2 + 168*g + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 2. Let s be ((-378)\/(-135))\/((-1)\/95). Let c = s - -264. Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - -16. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 1266.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12853 is divided by 3580.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2993*g - 2996. What is d(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*l + 56*d - 34, -3*l = l - l - d - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 16, -13, -4, 1 in ascending order.\nAnswer: -13, -4, 0, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -562 or -563?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10*8\/(48\/75). Let m(w) = 5*w**2 - 29*w - 12. Is m(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.67 - -10. What is g rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 11:18 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42398, -52770, -63142, -73514?\nAnswer: -83886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 8 = l, 420*c = 417*c - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107224587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (285 - 269) + (0 - 2 - (0 + 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2942473 - -0.21.\nAnswer: 2942473.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 3, h: 1, y: 1, n: 2, l: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/(-5))\/((-2)\/10). Suppose 8*p = 3*p + 5*x + 20, -4*x - 8 = 0. Let z be (-7)\/p*((-132)\/h + 2). Put -4, 3, 1, z in increasing order.\nAnswer: -4, 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99076 or 99077?\nAnswer: 99076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75726767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 15*q - 335. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5925, -23667, -53179, -94413, -147321, -211855, -287967?\nAnswer: -375609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*h**3 + 13*h**3 + 6*h**3 + 175*h**2 + 66*h**3 wrt h.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**2\/2 - 44*a - 38. Let u be -3*(-1)\/(3\/(-10)). Let c be p(u). What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llololloololollllilo. What is prob of picking 3 l?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7807.054 years to months.\nAnswer: 93684.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 3. Let x be u(0). Let d = 16.07 + -16. Let y = d + -0.57. What is the smallest value in x, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/745 and -33\/298.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 2\/3, 14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 53\/8250?\nAnswer: 53\/8250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.1759\nAnswer: 0.1759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**2. Suppose 12*m - 430 = 1658. Suppose -172 + m = -2*h. Determine c(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 11709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 165, -0.1, -2, -1\/5 in decreasing order.\nAnswer: 165, 2, -0.1, -1\/5, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -83. Which is the nearest to 0.2? (a) h (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 105 + 2*m**2 - 41*m**3.\nAnswer: -41*m**3 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 50662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20162 (base 7) in base 8?\nAnswer: 11437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 417\/223 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279 and 32751?\nAnswer: 1015281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738*p**2 + 427*p**2 + 431*p**2 + 429*p**2 + 434*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790116 is divided by 299.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 407, 4 in descending order.\nAnswer: 407, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*k - 5, -3*r - k = -4*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 25, 56, 87, 118?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 2\/(-2*1). Suppose 0 = -k + 2*a - 16, 324*k + 4*a = 323*k + 32. Solve x + 0*x - j = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) - sqrt(448)) + 2 + -2.\nAnswer: -7*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68869611 to the power of 1\/2, to the nearest integer?\nAnswer: 8299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*481.60203\nAnswer: -144.480609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 42764?\nAnswer: 213820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4*(-54)\/15. Solve -5*z - 16 = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*((sqrt(833) - (sqrt(833) + -1)) + -1 + sqrt(833)))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x = -8*x + a - 68, 0 = x + 3*a - 12 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -35*f**2\/2 + f + 2. Let t = -6359 - -6360. What is m(t)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 4, q: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.045450655 rounded to three dps?\nAnswer: 1.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5175 + 5175.4. Let f be (-44)\/36 + (-2)\/(-2). What is the closest to 4\/7 in 3, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 587*k**2\/3 - 5981*k\/3 - 2189.\nAnswer: (k - 11)*(k + 1)*(k + 597)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 37*x + 2. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2 (c) -0.1 (d) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 270?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -1\/6*a**3 + 0 + 0*a**2 + 32*a - 1\/4*a**4. Let q(v) = -v**2. Give q(f(h)).\nAnswer: -9*h**4 - 6*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.14, 2\/17, 39, -0.5, 2 in descending order.\nAnswer: 39, 3.14, 2, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137689 - -280488. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - f = -21, -8*n + 35 = -3*n + 3*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 145 - 1.24025395729\nAnswer: 143.75974604271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 5*t. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*0.0512.\nAnswer: -0.6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 0.1, 3.62, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/4127 - -4123\/8254. Let w = 1\/5 + 3\/10. Solve a*j**3 + 0 + w*j - j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 50331?\nAnswer: 50327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*l - q - 4, 0 = 5*l + 4*q - 2. Suppose 8*m - 12*m + 16 = 0. Suppose -2*h + l*t = -t - 94, 192 = m*h - 4*t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622756068.\nAnswer: 2, 3, 11, 313, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -336\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rif when three letters picked without replacement from didrrfdfdf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*f - 165*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(-1060)*(-10)\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + y = -11, -2*f - 784 + 768 = 2*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2555 at most 1\/908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let i(y) = -264160*y**2. Calculate i(s(l)).\nAnswer: -2377440*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663 = 266*m - 1064 - 1465 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22457 + 22460. Let o(g) be the second derivative of -2*g**2 + 0 + 9*g - 27\/20*g**5 + 0*g**4 + 0*g**s. Find the first derivative of o(w) wrt w.\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17328048.\nAnswer: 2, 3, 361001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 16 + 18. Let l be (-2)\/3 + 4\/(12\/g). Let d = -4 - -3. What is the biggest value in l, d, -0.08?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6*t - 159. Let a = t - 31. Solve -6 = 3*y - 5*l - 1, -4*y = l + a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/168 and 173\/17543526.\nAnswer: 70174104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/5 - 7*k**4\/5 + 9*k**3\/5 - k**2 + k\/5.\nAnswer: k*(k - 1)**3*(2*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddzb when four letters picked without replacement from bzdjbbbzdzzjjbzh?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*c - 220*c + 414*c + (-2*c + c + 2*c)*(-1 + 1 - 2) to the form f + u*c and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Solve w = -2*t - 0*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -18. Let i = -35 - l. Which is the closest to -0.1? (a) 8 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8 + 8.3. Let f = -49\/165 + -2\/55. What is the closest to 0.2 in r, -2\/19, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2592)*-1 + sqrt(2592))\/(sqrt(864)*2 - sqrt(864)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10083 - 6946. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.013857 months?\nAnswer: 0.0000115475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 67, 61, 55, 49, 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29654 - 29558. What is the highest common divisor of 12816 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65\/1028 - 970881\/1028. Let r = -963 - h. Let u = -1745\/9 - -202. What is the common denominator of u and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -27, -52, -97, -168?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11394 is divided by 112?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) -1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 16*i**2 - 18*i + 21. Let m be a(17). Let v be (-8)\/(-36) + (-10)\/(-36). Put -2\/5, m, v in descending order.\nAnswer: m, v, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-8))\/(42714\/6328)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2312*w**4 + 8*w**2 - w + 54?\nAnswer: -55488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*d + 11*d**2 + 163 - 123 - 4*d + 9*d - 13*d**2 in the form s*d + a*d**2 + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 - 16*k + 68. Calculate d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 476803537 to the nearest one million.\nAnswer: 477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-85)\/34)\/(2\/(-40)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 129, 125, 63, -75, -307, -651, -1125?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1247260 to the nearest 10000.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18804980*m**3 + 5309438*m**2.\nAnswer: -112829880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(5 - 467\/93)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 14*g**2 + 6*g - 2*g**2 - 9*g**2 - 6.\nAnswer: -25*g**2 + 7*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5288 + -3511. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.028 - -1.072. Let d = 16 + -12. Which is the second biggest value? (a) d (b) s (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*6\/(-4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 6*l**4 - 83793*l**3\/2 + 73279392*l**2 - 492728832*l = 0.\nAnswer: 0, 27\/4, 3488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 + 8. Let r(f) be the second derivative of 3*f**4\/4 - 15*f**2\/2 + 3368*f. Calculate -7*m(z) - 3*r(z).\nAnswer: z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*t - 170, 3*t = t - 8. What is the remainder when (-2)\/8 + c\/(-8) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -44\/51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13164222.\nAnswer: 2, 3, 17, 129061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 3. Give l(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25913 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 355776 and 216?\nAnswer: 3201984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 251 - 239. Let j be ((-28)\/(-42))\/(t\/(-3)). Let d(p) = -p**2 - 2*p - 1. Calculate d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -187, 5, -260, 2, -1, 3 in increasing order.\nAnswer: -260, -187, -2, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 - 48542.\nAnswer: -48486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13905 and 7560.\nAnswer: 778680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67900 by -14.\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74128053*g*i**2 - 3*g + 365934935*i**2 wrt g.\nAnswer: -74128053*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 3716395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166582 is divided by 1234?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 - 519\/2. Is z < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-286 - -277) + 0 + 1 + 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 20910*i + 92 + 22 + 3*i**2 + 20907*i + 11 to the form s + d*i**2 + h*i and give s.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.01985 * -436\nAnswer: -8.6546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920815241?\nAnswer: 457, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 + 5*i - 6. Let k be p(4). Let u be (-1 - k) + 2 + -1. Suppose -u*r + 33 = -5*z - 11, -5*z = -3*r + 61. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 669278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 51 = -v, 51 = v + 2*l - 6. Suppose -2*u - 2*u = 1612. Let i = u - -646. What is the remainder when i is divided by v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 731, 5785, 19509, 46241, 90319, 156081, 247865, 370009?\nAnswer: 526851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 - -397603.\nAnswer: 397601.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -334.4 + 334.396. Which is the nearest to -1? (a) x (b) 4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054093 < 11595008\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = -4*o + 3*o + 84*h, 75 = 290*o - 298*o + h for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 243 - 39. Let s = h - -8. Let o = s - -31. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5072 times -0.4?\nAnswer: -2028.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:35 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(8)*-5 + 3 + (sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3)) - sqrt(2) - sqrt(2))*-1)**2.\nAnswer: -30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6260 and 17215?\nAnswer: 68860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 73. Let j = -58.865 - -0.265. Let v = j + k. What is v rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*u**7*(u\/(u*u**(-2\/3)*u*u))\/u**(-5) assuming u is positive.\nAnswer: u**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-4)\/(-16))\/((-2)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 15*l**2 - 23*l + 17. Calculate i(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7438\/5 or -1489?\nAnswer: -1489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6124, 5955, 5796, 5653, 5532, 5439?\nAnswer: 5380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 198.8767 millilitres?\nAnswer: 0.1988767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 38*q**5\/5 - 7*q**2 + 44. What is the second derivative of o(h) wrt h?\nAnswer: 456*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -280, -3\/2, -3\/4, 0.6, 0.3, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*a + 17, 4*v + 0 = -2*a + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 0, 1, 29 in ascending order.\nAnswer: -1, 0, 1, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/5, 1\/5, -40, 2, 1 in decreasing order.\nAnswer: 2, 1, 1\/5, -1\/5, -0.5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let v(q) be the third derivative of -q**4\/24 + 23*q**3\/6 - 3*q**2 + 22*q. Determine v(z(u)).\nAnswer: 2*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167764288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001661684 rounded to seven dps?\nAnswer: -0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 1649?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 8. Suppose 30 = 11*m - 21*m. Let f be h(m). Solve f*a + 0 + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4219*o - 4*o**2 + 2*o**2 + 5*o**2 + 1822*o.\nAnswer: 3*o**2 + 6041*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/7 + 18*z**3\/7 - 44*z**2\/7 + 64\/7 = 0 for z.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017 - -5331264389.\nAnswer: 5331264389.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:11 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*j = -b - 402*j + 20, -30 = 3*b + 3*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1 - 5. Suppose -4 = k*p, l - 5*l + 5*p = -145. Let s = l - 24. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2713843120731 + 0.\nAnswer: 2713843120731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/1139 + 4500\/7973. Let p(j) be the second derivative of o*j**2 + 14*j + 1\/21*j**4 - 2\/7*j**3 + 0. Determine b, given that p(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -432 by -3.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.49 + 0.49. Let d = z - -2.8. Let v = d - 0.8. Which is the closest to 1\/3? (a) 0.1 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/15)*v*v**(-2)\/v)\/(v*v**(-3\/2)\/v*v**(-5)))**(-2\/53) assuming v is positive.\nAnswer: v**(-131\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*-10 + -2. Let s = -117 - -113. Sort 2, s, v in descending order.\nAnswer: v, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -252331131763 and -47.\nAnswer: -252331131810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/8 and 121\/28 - (-17 - -19)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1079)\/(-1079))\/(((-2)\/20)\/(15\/10))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 0*t**3 - 4*t**3)*(-3 + 3 + t) - 5 - 2*t**4 + 5 - 5*t**4 - 3*t**4 + 2*t**4 + (-t + 6*t - 2*t)*(-5*t**3 + 0 + 0).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/((64\/4392)\/8). Let y = p - 60. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 592, 33, -7, 3, 18 in descending order.\nAnswer: 592, 33, 18, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Suppose r = m + 18, c*r + 3*r - m - 50 = 0. Calculate the smallest common multiple of r and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2\/7 + 152*d + 43860\/7 = 0 for d.\nAnswer: -215, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 54. What is the greatest common divisor of j and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2015\/403)\/(1*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, -3, -2\/45, 98, 0.9 in decreasing order.\nAnswer: 98, 1, 0.9, -2\/45, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9564.5ml to litres.\nAnswer: 9.5645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 38. Suppose -3 = 4*k + 9. Sort k, x, 5 in ascending order.\nAnswer: x, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(2\/(-15)). Let s(l) = l**3 + 7*l**2 + 7*l + 1. Let p be s(k). Solve -5*d + 0*h + p = h, -h = -5*d + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3, -2, -96 in descending order.\nAnswer: 3, 1, -2, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 33*b - 83. Let t = 11182 + -11217. What is r(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475725?\nAnswer: 5, 59029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let h be (-33 + 33)*(-2)\/12. Let u = 100.5 - 101. Which is the nearest to h? (a) -2 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 45090400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19) + 1 + 4 + 5.\nAnswer: sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 100111?\nAnswer: 100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-9*7\/42*(-233270)\/15)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15. Suppose 5*x + 1 = -4*j, 31 = 5*x - 4*j - a. Suppose -q = 4*o - 8, -4*q = o + x*o + 4. Solve -4*r + 16 = -4*c, -c + o*c - 5*r + 20 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 180?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 19 + 1)*(594*q - 275*q - 427*q) to h + z*q and give z.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - o - 8. Let k be r(-4). Let s = -17 + k. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 45 + 33)*(1 - i**3 - 1) + 4901*i**3 - 2418*i**3 - 2333*i**3 as n + t*i**2 + r*i**3 + a*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*p**3 + b*p + 1156*b + 103*p**4 wrt p.\nAnswer: -3*b*p**2 + b + 412*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2863 minus 0.2?\nAnswer: -2863.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2 + 9*v - 37. Let w(h) = -h**2. Determine -m(i) + 5*w(i).\nAnswer: i**2 - 9*i + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296 + -296. What is the nearest to s in -1\/4, -4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2457930, -2457909, -2457888?\nAnswer: -2457867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 104 + 42 = x, 5*x = -2*s + 716. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(329\/(-84))*(6\/(-20))\/(12\/(-130))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -141*b**4 + 644*b - 644*b + (-b + 7*b + 4*b)*(-2*b**2 + 2*b**2 - 2*b**3) + b**4 + 2*b**2 - 2*b**2.\nAnswer: -160*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 42 = 4*i, 3*i - i + 4*b = 30. Suppose 4*x - 2 = -2*r + 2*x, r = -4*x - i. Solve 3*a - 6 = r*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014303 (base 8) in base 12?\nAnswer: 2170ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - j - 3*j + 4, 3*v - 35 = 5*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248439626?\nAnswer: 2, 157, 791209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5\/4, 5\/2 in ascending order.\nAnswer: 1, 5\/4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004563 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 123978 = 125590 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.873 + -35.027. Let u = -19.93 - q. Round u to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/10 + n**4\/2 + 31*n**2 - 234*n. Differentiate f(t) wrt t.\nAnswer: 6*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23029 times -3\nAnswer: -69087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 1047?\nAnswer: 34551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + k = 4226 - 4239, 4*u - 3*k + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r. Let w(j) be the third derivative of -5*j**4\/6 - j**2. Let n(h) = 6*w(h) - 17*y(h). Let g(i) = 0*i + 2*i + i - 6*i. Give g(n(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, q: 4, n: 3, e: 1}. What is prob of picking 2 n and 1 q?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**18\/(g\/(g\/(g**(-6)\/g))))**(1\/22))**(-8) assuming g is positive.\nAnswer: g**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103301023 + -332?\nAnswer: 2103300031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102554?\nAnswer: 2, 47, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(4 - 4 - 2)*(-5*s - 9*s + s).\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 605653075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42462*r - 679384. Determine h(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*24846398.\nAnswer: 447235164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 6055, -1, -5, -11 in descending order.\nAnswer: 6055, -1, -5, -11, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1460 (base 15) to base 14.\nAnswer: -183b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2. Let m be (-2)\/(3\/((-3)\/1)). Let p(d) = 4*d**2 - 7*d**2 + d**m. Determine h(p(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -59. Let g be (-1)\/4 - i\/(-8). Suppose -4*v = d - 13, -g*v - 3 = -3*v + 5*d. Solve -2 = -0*j + 3*j - k, k = v*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 q when four letters picked without replacement from {b: 2, q: 2, s: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 + 3. Let t = -526 - -535. Let d be ((-1)\/(-7))\/(-3 - -2). Which is the nearest to x? (a) -2 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 + g + 4. Let o be (2 - 0\/(-1))*1. Suppose -w + 1 + o = 0. Give a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(34)\/(sqrt(2) + sqrt(2) + -3*sqrt(2)) + sqrt(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:56 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 249539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 + 0.1. Which is the third smallest value? (a) 2\/3 (b) 0.09 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 11*h**3\/3 + 127. Let b(x) = -60*x. What is b(w(o))?\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -16. Let k = -5 - i. Is -13 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15.5. Let o = 4 - c. Suppose -5*g = x + 19, -5*g = -0*g + 20. Put o, x, -0.1 in increasing order.\nAnswer: -0.1, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 3*s, 2*t - 4*s + 6*s - 16 = 0. Suppose t*j + 538 = -j - 2*i, -5*j - 680 = i. What is the units digit of j\/(-7) - (-6)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**7\/1176 + 11*q**6\/1260 + q**5\/30 + q**4\/21 + 2*q**3\/3 + 7*q**2. Let t(d) be the first derivative of o(d). Factor t(s).\nAnswer: (s + 2)**2*(5*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -113013, -452053, -1017117, -1808205, -2825317, -4068453?\n\"Answer: -113012*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 132\/22021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -995*-0.5.\nAnswer: 497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/120)\/((-192)\/138496) - 24.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (107 + -2 - 6) + 0\/1. Suppose 6*s - c - j = 3*s, -2*c = -3*s + 102. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -42, 4, 2\/9, 1\/2?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5013 and 554652.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 2*d + 4. Give z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxqqqqxqx?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -595560*r. Let z(t) = 153*t**2. Give z(c(s)).\nAnswer: 54267832180800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116324 and 92.\nAnswer: 2675452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43433431 or 43433430?\nAnswer: 43433430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*u + 2651, 2*u = -3*b - b + 3564. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*r**2 - 5*r**3 + 200*r - 465 - 170*r**2 - 47*r**2 + 725*r - 5*r**2 = 0. What is r?\nAnswer: -93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 0.31. Let p = 7 + -3. Let w be (-3)\/7*p\/6. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/4 + 8 + (-11)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 149207112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/1 + 2)*-22. Let v(t) = -24*t - 10. Let d be v(-5). Calculate the highest common divisor of k and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -300523 - -3?\nAnswer: -300520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/4857 + 6478\/4857. Let -4\/3*s**4 - 4\/3*s + 8\/3*s**2 - d*s**5 + 8\/3*s**3 - 4\/3 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(1015*u - 554*u + 1062*u + 428*u + 33*u).\nAnswer: -3968*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10159767 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -4, -1757?\nAnswer: -1757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 32. What is the nearest to -1 in 3\/7, -82\/9, l, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.15, -808994 in decreasing order.\nAnswer: 1, -0.15, -808994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 23298.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -3385\nAnswer: 47\/3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/3 + (-9)\/(-27) - -3. Let o(l) = -l - 3. Let a be o(r). Suppose -2*t + 162 = a*p, -3*t - 3*p + 86 = -139. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5 - 3 - 7 + w. Let q be n(17). Let x = q - 1. Solve -14 = -4*p - u, p - 4*u + 3*u - x = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9473.7217 rounded to 0 decimal places?\nAnswer: -9474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -6*r + r. Suppose c - 119 = 2*h, 5*c - 7*h = -2*h + 570. Suppose -8*w - 29 = -c. What is the highest common divisor of r and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/(12\/30). Suppose 3 = f*k - 7. Suppose 4*c = k*w - 18, 25 = 3*w - 8*w - 4*c. Let l(i) = 9*i**3 - i**2 - 2*i - 1. Calculate l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3080850547 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -96, -96, -116, -162, -240, -356, -516?\n\"Answer: -p**3 - 4*p**2 + 19*p - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2708 and 0.6.\nAnswer: -1624.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:14 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 14*t + 1. Let v be l(-13). Let q(j) = -11*j - 2*j + v*j + 1. What is q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1551, -1, -3 in decreasing order.\nAnswer: 1551, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-6.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245590627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -954*w**4 + 1955*w**4 - 5*w**5 - 2*w**2 + 7 - 978*w**4 wrt w.\nAnswer: -300*w**2 + 552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 5*v + 0*v)*(-5 - 2 - 1)*(11*v**2 - 9*v + 9*v) as n*v**3 + c*v**2 + u + d*v and give n.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 14 - (-6 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5190000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5 + 13*i**4 - 574*i**3 - 4275*i**2 + 7650*i = 0?\nAnswer: -15, -10, 0, 3\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-4) - -15)\/2. What is the first derivative of 5 - m + 8 + t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 30*s + 3. Let h(c) = c - 1. Determine -3*h(k) - y(k).\nAnswer: 4*k**2 + 27*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -30. Calculate the lowest common multiple of 7 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39086 is divided by 3551.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -10022?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -566*y + 76?\nAnswer: -566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t = 171*t - 168 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -7\/9 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0992746 * 3.\nAnswer: 0.2978238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thahuthaahathtttta. What is prob of sequence atu?\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccddvvd. What is prob of picking 3 d and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1 - 2*f + 2 + f + f**2 - 2*f**2. Determine a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*q + 29*q - 64*q + 72470. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076999*q - 538504*q - 538483*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2770 = 5*d - 5*r, 3*d = 4*r + 1320 + 344. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 243761\/36935 + 2\/7387. What is the closest to i in 0.1, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 147*l + 144*l = 28, -2*a + 14 = -4*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15598 = -6281*m - 38719 + 10350 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5584, 5521, 5416, 5269, 5080, 4849, 4576?\nAnswer: 4261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 10*f - 6. Suppose 4*k - 26 = v, 5*k = -2*v + k - 4. Let h be ((-6)\/v*-12)\/((-6)\/40). Suppose -19*l - h = -13*l. Calculate p(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-7)\/((-7)\/6). Suppose 3*d + 0*d - 15 = 0. Solve -3*h + d = -w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/15 + b**3\/2 - 4*b**2. Find the first derivative of j(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**3 + q**3 - q**3 + q**3 - 1 to the form k*q + o + t*q**3 + a*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -4*p + 3\/40*p**5 + 1\/8*p**4 + 3 - 1\/4*p**3 - 3\/4*p**2. Let k(z) be the first derivative of a(z). Factor k(s).\nAnswer: 3*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4966, -5232, -5500, -5770, -6042, -6316, -6592?\nAnswer: -6870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 3*s - 5. Let r(h) = 4*h. Let a be r(4). Suppose 3*d = -d + a. Is y(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39\/26)\/(3\/4). Suppose -n = 2 + o. Which is the nearest to 0.1? (a) 0.5 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1071 and 595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from daanddwada?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 35*c + 186 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0535, 5, -332, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.031?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - ((8 - 20) + 4)) + -8 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14885844?\nAnswer: 2, 3, 1240487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1316, -1318, -1310, -1292, -1264?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c**2 - 78*c**2 + 39*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 62*v - 56*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.44 - -2.27. Let b = -0.27 - x. Let k = 1.3 - b. What is the closest to 2\/7 in 4, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -62. Let m = 359\/6 + r. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r**2. Let j(d) = 6*d. Calculate t(j(u)).\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/593 + 14227\/2965. Let g = -4477 + 22547\/5. Factor -u*w**3 - 108\/5*w**2 - 216\/5*w - g - 2\/5*w**4.\nAnswer: -2*(w + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) - ((sqrt(272) + -3)*6 + sqrt(272))))**2 + 4.\nAnswer: -1008*sqrt(17) + 13656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12492762 + 5730601. Let b be (-1)\/(-6) - (4 + g\/42). Round b to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/193 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 = -0*k - 8*k - 21 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10198 - 7132. Let r be (0 - 2) + c\/3. What is the tens digit of 1\/(-2) + r\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 37*g**3 - 173*g**3 - g**2 - 3*g + 3*g.\nAnswer: -213*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7153*p = 91166 - 184371 - 121927 - 171130 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 159*t + 780. What is x(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t = -258 + 41 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 2*b**2 - 4*b + 2. Let g(k) = 6*k**3 + 11*k**2 + 21*k - 11. Give -2*g(h) - 11*u(h).\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -31*i**5\/5 + i**4\/4 + 1061*i**3\/3 - 2038. Find the third derivative of c(g) wrt g.\nAnswer: -744*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5149.2829 - 5149. Let h = 0.1171 + r. Let s = -2.2 - -2. Which is the nearest to s? (a) -4 (b) h (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111234 take away -1.428944?\nAnswer: -111232.571056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 354843 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:35 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (2 + (-296)\/30). Let q = a + -23\/3. Factor 3\/5*s**3 + q*s - s**2 + 1\/5.\nAnswer: (s - 1)**2*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*z**2 - 31*z**2 - 2*z**3 + 76*z**2 + (2 + 1 - 2)*(-z + z + z**3) + z**3 + 5*z**3 - 4*z**3 + 2*z**3 + 2*z**3 - 2*z**3.\nAnswer: 3*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.483 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 111 = 3*f. Let m(k) = -5*k - 72. Let g be m(-21). Let c = g - f. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -15*t + 273. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 57. Let q be u\/(-8)*(8 - -1). Let o = q - 26. What is the common denominator of 31\/20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*n + 24145 = 130*n - 23305 for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, d: 7, i: 4}. Give prob of picking 2 d.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*s + 12828 - 2120, -21420 = -2*t + 2*s. Let n = t - -13288. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3003154l to millilitres.\nAnswer: 300.3154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3114.8 - 2184. What is j rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 9780 - 9780. Let m(c) = 6*c + 4. Determine m(l(z)).\nAnswer: -24*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/277746889 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 9*p**2 + 4*p + 2. Let w(g) = 4*g**2 + 2*g + 1. Determine -4*v(c) + 10*w(c).\nAnswer: -4*c**3 + 4*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/3246 and -31\/8940.\nAnswer: 4836540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/5*1). Find the common denominator of 27\/5 and f\/(-30) + (-161)\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -1 (c) 964 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = i - 12, -3*i + 3*k - 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 12*o**2 - 18*o + 67. What is the units digit of q(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*a**3 - 5*a + 857 wrt a?\nAnswer: 36*a**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**2 + 7*q - 2. Let s(b) = -b**2 + 2*b. What is m(u) - 5*s(u)?\nAnswer: 14*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760257833 is divided by 421.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45476*r**2 - 59239 + 59239.\nAnswer: 45476*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 - 8*p**3\/3 + 7*p**2. Let c(m) be the first derivative of y(m). Let r(s) = -3*s**2 - s**2 + s**2. Calculate c(r(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(16)\/sqrt(200) - 2*sqrt(18) - (2*(0 + sqrt(128)) + 1)**2).\nAnswer: 378*sqrt(2)\/5 + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-120)*5\/12. Suppose 6*t - 20 = 2*t. Let p = 2 - t. Which is the second smallest value? (a) 2\/3 (b) l (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 2 w when four letters picked without replacement from vvbtbvvtvwtbvwv?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 5, 0.4, -2\/2073 in descending order.\nAnswer: 5, 3\/5, 0.4, -2\/2073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-26)\/(-7))\/((-20)\/(-28)) and -41\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 + 21*h**2\/5 - 324*h\/5 + 108.\nAnswer: 3*(h - 6)*(h - 2)*(h + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -28*l + 1014. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 2*q + 7 = 0, -p + 17 = -4*q. Find the common denominator of p + ((-3)\/(-9))\/(3\/26) and -10\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 1, -13, -6, 8 in decreasing order.\nAnswer: 8, 6, 5, 1, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = -w. Suppose w = 4*x - q - 44, -q + 4*q = x - 22. Suppose 2*y + 5*k = -2*y - 19, 5*y - x = 5*k. Let n(g) = 17*g + 1. Calculate n(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -37.\nAnswer: 87\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8258542 by -2.\nAnswer: -4129271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - 775394104867.\nAnswer: -775394104867.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4785\/(-44) - (14 - 14 - (-13)\/((-572)\/77))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*p**4 - 90*p**4 + 972*p**4 + 348*p**4 + (7*p - 14*p + 8*p)*(0*p**3 + 2*p**3 - 4*p**3).\nAnswer: 1248*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1141235?\nAnswer: 1141230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 29) + (2 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7815373 = 7815392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 57 - 13. Let t be 151 - 4*k\/(-8) - 1. Suppose 0 = -4*a + t + 32. What is the greatest common divisor of a and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45043\/22 + -2047. Let h = 6\/563 + -46813\/7882. Find the common denominator of h and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3*3\/(-27)). Suppose 4*b + 7 = g + 2, 2 = -3*b - g. Let a = b - -3. Solve -a*n + 3*n + w = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*y - 2*w, 0 = -23051*y + 23050*y + 3*w + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/2795951, 2, 1, -3 in descending order.\nAnswer: 2, 1, -2\/2795951, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -121514 divided by -18\nAnswer: 60757\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**2 - 3*o + 3. Let w(d) be the first derivative of -56*d**3\/3 - 8*d**2 + 16*d - 84. Give -16*r(p) + 3*w(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 39. Calculate the remainder when m(19) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -495*a**2 + 1945*a + 140.\nAnswer: -5*(a - 4)*(99*a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:44 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h - 14*h**3 + 6*h**3 - 12*h**3 - 3*h + h**4 - 87*h**2 wrt h?\nAnswer: 24*h - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1981, -5, -4, 3 in descending order.\nAnswer: 1981, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*j**3\/17 + 2072*j**2\/17 - 7358*j\/17 - 1260\/17 = 0. Calculate j.\nAnswer: -9\/55, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 794872891*v + 406246121 wrt v.\nAnswer: 794872891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -3, -77, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Find the first derivative of -4*m**3 + 0*m**3 + 1 - 2*m**v wrt m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -69*w**3 + 3*w**2 - 59*w + 2. Let a(v) = 345*v**3 - 16*v**2 + 295*v - 11. Let f(l) = -4*a(l) - 22*n(l). Find the third derivative of f(s) wrt s.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215 + -198. What is the remainder when 67 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*u**3 + 15211*u**2 - u + 21387757 with respect to u.\nAnswer: -138*u**2 + 30422*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 26. Calculate n(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17204 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -75, 2 in descending order.\nAnswer: 5, 2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31606 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4146 and 2326?\nAnswer: 4821798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 5. Let r(m) = -5*m - 5798. Give -3*o(p) - r(p).\nAnswer: -p + 5783","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/300 - l**5\/50 + l**2. What is k in s(k) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 + -1)*4\/((-20)\/(-25)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4321*x + 301534 + 435161 = -2564*x for x.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -428661 and -0.4.\nAnswer: -428661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a - 80*a = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/13*(-1131104)\/(-32628)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*o + 9 = -o, 0 = -4*m + 2*o + 6. Suppose 3*s + 8 - 59 = -3*g, m*s + 3*g = 38. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.359609 or -6\/19?\nAnswer: -12.359609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 + 4 - 7 + 0 + 5*m**2. Let x be g(3). Suppose -5*n + 3*b = -138, 3*n + b = -0*b + 94. Calculate the highest common divisor of x and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-600)\/(-28))\/(3\/21). Let o = 218 - b. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-7)\/((-14)\/8). Suppose -2*z + 141 = 5*k + 47, -2*k + 2*z + 18 = 0. Put 2, k, t in descending order.\nAnswer: k, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 40\/137 (c) -3 (d) -1\/5 (e) 0 (f) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e2a9 (base 16) in base 10?\nAnswer: 123561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(360)\/sqrt(4)) + (sqrt(7) - sqrt(252)*2) + 4)**2 + -4.\nAnswer: -256*sqrt(7)\/3 + 7276\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/3))**22\/(s**(1\/2)\/(s\/(s*s**5*s*s))))\/(s**1\/(s\/(s**(2\/5)*s)))**7 assuming s is positive.\nAnswer: s**(581\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 i, and 1 x when four letters picked without replacement from {i: 4, x: 6, k: 7}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 30 = 5*b. Put -6, b, 0, -4 in decreasing order.\nAnswer: b, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -0.1, 2\/7 in ascending order.\nAnswer: -3, -0.1, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(77)\/sqrt(7) + -1 + -4)**2.\nAnswer: -10*sqrt(11) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 33. Suppose -3*v + 2 = -h + v, 4*v = k. What is the common denominator of 9\/(-153) - (3\/h)\/3 and -55\/14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-24)*-2)\/(5\/(-15)*9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1064?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -7. Suppose 0 = 3*y - 7*y + 5*n + 23, -b = y + 4*n. What is the highest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303173 less than -0.3?\nAnswer: -303173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 11 - -3*(-20)\/(-12). Let h(y) = -13*y - 9. Determine h(p).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -354, -378, -400, -420?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -1 - 47 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(637) + 2)*-4 + sqrt(637)) - (2*sqrt(637)*1 - (-4 + sqrt(637) + sqrt(637)*-1))) + -2)**2.\nAnswer: 28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(21)*-3)\/sqrt(7))*-1.\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -4\/9, 55, -2\/19 in decreasing order.\nAnswer: 55, -2\/19, -4\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 - 8*b**2 - 83*b**2 to the form i + c*b + z*b**2 and give z.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - (-3 + 2)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-10)*(-4)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 620*o**2 + 5*o - 620.\nAnswer: -5*(o - 124)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1 + 22*o + 10*o + 2*o + o. What is the units digit of z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 15498550.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/23 in 8\/15, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 63*b. Let q(v) be the third derivative of v**5\/15 - 3*v**2 - 8*v - 166. Calculate q(p(i)).\nAnswer: 15876*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0*m - 3*m)*(-3 + 1 + 0) + 0*m + m + m + 2*m + 0 + 0 - 57*m - 56*m - 9 + 26*m as f*m + w and give f.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 183. Suppose -t = v + 2*v - 498, v = t + l. List the prime factors of v.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -488402 smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:45 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 19. Let q(h) be the second derivative of -1\/6*h**3 + 3*h + v*h**2 + 0. Calculate q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4794 and 0.3.\nAnswer: -1438.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1103991914 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 670\/6*4443\/(-7405)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q + 3 - 5 + 1 + 2.\nAnswer: -27*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = 16*t + 33*t - 19. Let k be 10 - (1 - (-3 + 4)). Calculate the greatest common factor of k and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 723237 - -11815063. What is d rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 32*z**3 - 2*z**2 + 2*z - 1. Let q be g(1). Let f = q + -16. Let v = 50 - 45. Solve 0*r = v*r + f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -618 - -4328\/7. Let a be (-1)\/(-7) + (-60)\/(-21). Find x such that 0*x + 0 - 4\/7*x**a + i*x**2 + 2\/7*x**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*3245.\nAnswer: 5516.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(3\/10)*q*(q*q**(-18))\/q*q**19*q**(2\/5)*q*q*q assuming q is positive.\nAnswer: q**(67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Solve 3*w = l*y + 5, 5*y = -2*w + 16 - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 5, i: 5, l: 1, q: 1, j: 2}. Give prob of sequence avjl.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {i: 2, g: 1, w: 1, y: 2, v: 2, z: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 193591282, 193591283, 193591284, 193591285?\n\"Answer: m + 193591281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = y - 21, -15*y + 18*y = -2*k - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3898\/(-701640))\/(2\/16).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4074 * -6.\nAnswer: -24444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -19. Let x = m - 27. Let n be 2 + (-1)\/(x\/(-28)). Is -1 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/9 + 4514*m\/3 - 551860\/9 = 0. Calculate m.\nAnswer: 41, 6730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1320339?\nAnswer: 5\/1320339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*o - 252. Let k be (-1)\/(-2)*-2 + -1. What is the remainder when o is divided by 2*5\/(-2)*k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 4, k: 4}. Give prob of picking 2 q and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 89*d + 406. List the prime factors of x(66).\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4 = 5*g, -14*b - 11273 + 11236 = 5*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31206 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*-5)\/((sqrt(7)*-3 - sqrt(7) - sqrt(7))*4 - sqrt(7)).\nAnswer: 20*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -161*n**2 - 1241*n + 10. Calculate r(-8).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -31. Suppose 3*b = -g - 99, 2*b = 4*g + 179 + 259. Let q be 320\/(-24)*g\/10. What is the highest common factor of q and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 4. Let c be b(4). Suppose 0 = -290*p + 291*p - 7. Calculate the remainder when 1 - (c*3)\/(-3) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 791.607025 to the nearest 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.638603 centuries in years?\nAnswer: 63.8603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120598291.\nAnswer: 29453, 38047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(68) + 0 - (-4 + -2*sqrt(68)))**2.\nAnswer: 84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 1, -0.3, 2\/167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*i**5 - c**3 + 45*c**2*i**5 + 97*c**2*i wrt i?\nAnswer: 20*c**3*i**3 + 900*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-17)*f**(-3\/13)*f)**(-1) assuming f is positive.\nAnswer: f**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -25*h**2 - 734*h - 1453. Determine p(-2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -196506 divided by 3?\nAnswer: -65502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*1986\/(-331).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99901 - 81751 = 330*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 2*u + 4*u**2 + 0*u + 3*u**2. Calculate the remainder when c(2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.569 * -0.7.\nAnswer: -2.4983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 5*y + 8*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 12 (c) -1 (d) -3 (e) 17.72 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((34\/5)\/34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(81\/30) - (-3048)\/216. Let d(g) = -g**2 + 20*g - 87. Calculate d(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + 8*j - 13. Let t be z(-4). Solve t*v = -2*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23041 + 84298. Suppose 3*u + 3*h = 6753756, -3*u - 3*h - 4502529 = -5*u. Suppose -w = -3*n - u. What is n rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 69525*h**3 + 2 + 139038*h**3 - 69521*h**3 + 2*h to the form q*h**2 + p*h + g*h**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-50)\/15)\/(-10) - (-340)\/(-3). Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/9 (b) -5 (c) 1 (d) 5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3953 + -3887. Solve 0 = 4*c + 7*c - x for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 + 37 + 39 + 7*q**3 + (-q + 0*q - q)*(-2*q + 2*q + q**2) to r*q + c + d*q**2 + p*q**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/(u\/((u*u**2)\/u)))\/((u**2*u*u)\/(u*(u**(2\/5)\/u)\/u)) assuming u is positive.\nAnswer: u**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 97670*s + 4093320.\nAnswer: 5*(s - 19492)*(s - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 634*c**3\/3 + 3164*c**2 + 4832*c + 5632\/3 = 0. What is c?\nAnswer: -88, -16, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let f = 555 + -121. Let q = -434.5 + f. Which is the nearest to v? (a) q (b) -9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -3, -111, 1, 0 in descending order.\nAnswer: 1, 0, -3, -24, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, 0.1, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/(k\/(k**(-3\/8)\/k))*(k\/(k*k**(-1\/2)))\/k*(((k\/((k*k*k*k\/(k**6\/k))\/k))\/k*k)\/k)\/k)**(1\/3) assuming k is positive.\nAnswer: k**(-53\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*c - 122*c + 482*c - 125*c - 57 - 119*c.\nAnswer: -3*c - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 8 - 34 = 0. Suppose 0 = 4*i - 2*z - 50, 0 = 2*i - j*i + 2*z + 60. Let f(m) = m**3 - 8*m**2 - 16*m + 15. Is f(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let u(h) be the third derivative of h**7\/1260 - h**4\/12 - 11*h**2. Let a(o) be the second derivative of u(o). Give a(n(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a. Let q(t) = t + 1. Let i be q(3). Suppose a = r + i*r - 825. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(187)\/(-2*sqrt(1100)) + 5 - -6*(sqrt(425) - (sqrt(425) + 3)*2)).\nAnswer: -601*sqrt(17)\/20 - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135022 - -24313?\nAnswer: 203335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-168)\/112 - (2 + 1262070\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31211\/2 + 16634. Let k = w + -1028. Let 0*f - k + 1\/8*f**2 = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 161273 - 161254 = 7*m, 0 = -5*m - 2*v + 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.03 - 18. Let h = -11.5 + 13.5. Put 5, h, n in decreasing order.\nAnswer: 5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 + 2*p**2 + 2*p + 2. Suppose -5*f - 2*l = -8, 2*l - 4 = -0*f - 3*f. Let n(v) = -v**3 + v**2 + v + 1. Calculate f*n(w) - j(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**3 + 16*o**3 - 9 + 11*o**3 + 15*o - 8*o**3. Let z(x) = 6*x**3 + 8*x - 5. Determine -3*i(s) + 5*z(s).\nAnswer: -3*s**3 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-8))\/(1\/(-4)). Let z(c) = -750*c + 15010. Let p be z(20). Sort p, q, -9 in descending order.\nAnswer: p, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 78. Determine y(-11).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 81 = 4*x. Suppose -x*r - 426 = -441. Solve r*l - 16 + 25 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose -a - 39 = -4*a. Let x = a - l. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5708119 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/504 and -17\/2098866?\nAnswer: 25186392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*r - 1100 = 0, -5*r - 767 = -4*f + f. Calculate the remainder when 368 is divided by f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l = 33*l - 366444. Is 58 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24026263*v**2 + 2*v - 2*v - 24026259*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 greater than or equal to 315036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woollolwoowowo. Give prob of picking 1 o and 2 w.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**9\/2160 - v**7\/360 + 7*v**4\/12 + 7*v. Let g(k) be the third derivative of o(k). Find the third derivative of g(h) wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r. Suppose 5*w + r = 45. Calculate the least common multiple of 7 and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 5)*(-3*j**2 + 2*j**2 + 2*j**2) + (j + j + 4*j)*(13*j + 56 - 27 - 12*j).\nAnswer: 3*j**2 + 174*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -224 + 4*d**2 + 224. Let b(p) = p**2 + 2*p - 3. Let x be b(-4). Let y(l) = l - l + x*l - 2*l. What is y(s(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 2*n**2 + 5*n + 1. Let p be s(-4). Let o = 0 - 1. Let u = p + o. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -19 - (-235 - -199)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcqq when four letters picked without replacement from {y: 5, q: 8, c: 2}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 14. Suppose -2*x = 2*t - 8, -x = 4*t - 1 - 0. Suppose 4*q + c - 49 = 0, x*q - 33 = 5*c + g. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46719 divided by 5191.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - o = 69, -86 = -d + 2*o - 14. Suppose 14 + d = 4*w. Solve -x = 4*x + w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 6. Let z(p) = -4*p**2 + 3*p**a - p**2. Let m(v) be the second derivative of -v**4\/12 - 3*v. Give m(z(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*h*o**3 - 2*h*o**2 + h - 224*o**3 + 213841 wrt o.\nAnswer: 1608*h - 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/4 - 1489*c\/2 + 216479\/4 = 0. Calculate c.\nAnswer: -3049, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47 * 6591116\nAnswer: 309782452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -36*c**2 - 7. Let z(a) = 2*a**2. Give z(q(l)).\nAnswer: 2592*l**4 + 1008*l**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1328920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/9)\/(37\/666) + 32782.\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14833 * 1.0565.\nAnswer: 15671.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-18)\/(-63))\/(67 - 1)*(-24)\/28\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1017054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 670562802 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 748.\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (30\/9)\/(12 - 16)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 25 = 4*l - 3*f, 10 = l + 3*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 5*p**4\/12 - 55*p**3\/3 - 5*p**2\/6 + 55*p + 613. Factor b(s).\nAnswer: 5*(s - 33)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44821.25 to the nearest ten.\nAnswer: -44820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*i - 4 = -2*o, -5*o = -i - 14. Suppose 4*x = -3*y + 25, 0 = o*y + 2*y + 25. Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3223, 6448, 9673, 12898, 16123, 19348?\n\"Answer: 3225*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -224 and 49?\nAnswer: -10976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1355, 719, 83, -553?\n\"Answer: -636*v + 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**2 + 30. Let n(s) = 1. Suppose 183 - 3 = 6*a. What is a*n(i) - l(i)?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 7808440?\nAnswer: 7808440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*l = -18621 + 32192 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 266*j**3 - 11610*j**2 - 157950*j + 364500.\nAnswer: -2*(j - 2)*(j + 45)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((2*sqrt(847) - sqrt(847)) + sqrt(847) + sqrt(847))**2)*-1.\nAnswer: -7627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 8) + (-4)\/(-2). Is (s - -3) + 0 - -65 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.73, -0.8, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**7*h**(3\/4) assuming h is positive.\nAnswer: h**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*2*sqrt(152))\/(((sqrt(64) - 3*sqrt(64)) + sqrt(64) - sqrt(64))\/sqrt(8)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 353*v**2 - 1. Let a be m(-2). Suppose -k + 7*k = -527 + 629. Calculate the greatest common factor of k and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18837 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 - (9 - -8)) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(2) + -2 + sqrt(2)*3*-4.\nAnswer: -11*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*w + 151*w + 399*w - 15*w)*(2 - 2 - 2)*(3 - 3 + 1).\nAnswer: -1466*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/679 and 3\/3391?\nAnswer: 2302489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**2 + 6723 + 19935 + 24188.\nAnswer: 28*n**2 + 50846","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 3)*(0 + 0 - 2*p) - 5*p + 0*p - p)*(4*p - p - 2*p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/100*-5 - (3 + -12 + 7)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.153 + 18.647. Let a = d - 19. Let q be 39\/(-60) + (-4)\/(-10). What is the second smallest value in -2\/11, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q - 4. Let z be t(4). Let u(r) = -r**3 - 2. Let b be u(z). Let y = 11 - b. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23*y**3 - 6*y**2 - 11*y + 15. Calculate m(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5159 + 1746 - 459 - 402 + 4924)*(n**4 + 0*n + 0*n).\nAnswer: 10968*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 701161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 314.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1210*t**3 - 4*t**2 + 8. Let s(k) = 183921*k**3 + 607*k**2 - 1214. Calculate -4*s(x) - 607*w(x).\nAnswer: -1214*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-50)*3\/(-1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -30. What is the nearest to 0 in o, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6498, 52150, 176068, 417384, 815230, 1408738?\n\"Answer: 6522*p**3 + p**2 - 5*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*n**3 - k**3*n*z - 2*k**3*z - 6*k*z + n**4 + 5*n**2*z**2 + 3*n*z**2 wrt n.\nAnswer: 12*k**3*n + 12*n**2 + 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 12. Let d = 0 + z. Calculate the common denominator of ((-33)\/16)\/(6\/d) and -119\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k**2 + 662*k - 1989. Determine i(3).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 0.91762?\nAnswer: 19.27002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 189\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.1 in -2, 1\/4, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 7}. What is prob of sequence pp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 - 11*m**4 - 97*m**3 + 528*m**2 - 576*m = 0.\nAnswer: -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 585 - 585 + 327*k**2 in the form i + d*k**2 + a*k and give d.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:10 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/667, -1, 715, 6 in decreasing order.\nAnswer: 715, 6, 2\/667, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 98824*q\/7 - 112960.\nAnswer: 2*(q - 49420)*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 5*j + 472 = 0. Let c = -57 - j. Calculate the highest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*j + 2*j - 3*j + 10 + 13.\nAnswer: j + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/9, -1, 0.2, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 4*i - 3. Let o = 106 + -102. What is j(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n = 35. Let x(u) = -2*u + 1. Let p be x(3). Let w = p + n. Solve -4*y - 5*q = 21, -w*y + y = 3*q + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254628732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 15 - 56*((-190)\/(-40) - 5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1578 and 163586.\nAnswer: 490758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 34760?\nAnswer: -1\/34760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077876 a multiple of 758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -231, -461, -687, -909, -1127, -1341?\n\"Answer: 2*y**2 - 236*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f + 67*f**2 - 28*f + 18*f - 66*f**2.\nAnswer: f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one fifths of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from gggkgggkkgk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-4) - 1505\/86\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 13*f**2 - 16*f - 21. Let c be o(-14). Let r be (3 - -3)*(0 - -1). Suppose 245 = r*x - x. What is the highest common factor of x and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Suppose -39*s = -48*s + 5139. Let g(f) = -s*f**2 + 1134*f**2 - 571*f**2. Give g(p(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 140. Let n be d(43). Let m = -3 + 9. Let k be (-100)\/n + (-1)\/m. Which is the second biggest value? (a) k (b) 0.5 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 - -5) + 7 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4672941.000084 + 4672971. Let z = -34 + 4. Let l = p + z. Round l to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147 + -142. Suppose 0 = -b + n*g + 67, 5*b - 6*b - 2*g + 81 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 167 = -183. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*i - 8, 5*h - i + 274 - 296 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 283 in -6, -0.2, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3292*n - 11 - 3287*n + 6567*n)*(0*n + 4*n - 2*n) + (1 - 6*n - 1)*(-3*n + 5*n + 0*n) to t*n + m*n**2 + p and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102100421 (base 6) in base 11?\nAnswer: 1006a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 + 69*h**3 + 1 - 94*h**3.\nAnswer: -11*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -1. Let r = 266.7 - 267. Put f, r, -2 in ascending order.\nAnswer: -2, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1442 and -260689542852.\nAnswer: -260689542851.8558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1023.1*-9.\nAnswer: -9207.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2. Let l(v) = 3*v**2 + 10*v - 36. Let g(o) = 2*a(o) + l(o). Factor g(w).\nAnswer: 5*(w - 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(-1 + sqrt(5) + -4 + sqrt(20)) + ((-2 + sqrt(320) - sqrt(320))**2 - sqrt(180)*4))*3.\nAnswer: -180*sqrt(5) - 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 13*m + 121. Let f = -13 - m. Solve -4 + 0 = -f*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:21 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3))\/n*n)**(-21)\/((n*n**5*n*n)\/n**6) assuming n is positive.\nAnswer: n**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22872562973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltluuuuddeluuul. Give prob of sequence lle.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from hghhhhhhhhghh.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -20.22. Let w = -4.22 + s. What is the closest to -1 in w, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n - 17. Let p be q(-3). Solve 5*o - 9 = p*x, 6 = -3*x + 3*o - 0*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 357 = 4*i, 38*s = 3*i + 36*s - 238. Solve -6*r + i = 6*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13863.\nAnswer: 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - 19*z - 39*z)*(540*z + 530*z - 644*z).\nAnswer: -21300*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 142*j + 3540. What is f(-25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 5 + 11 - 1 - 5.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) -0.7 (c) 0.02 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by (-2038)\/(-18) + (-156)\/702?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2 + 2 - 3*f + 2*f - 3*f - 3 + 3 - 2*f + (1 - 2 + 3)*(-f + 0*f + 3*f))*(f**3 - f**3 + 2*f**3).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 12.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x - 128. Let d be (2 - 0\/(-10)) + 63*1. Suppose 4*g - x = -f, -2*g + 7*g = 5*f + d. Calculate the highest common factor of 81 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + w)*(-w**2 + 28*w**2 - 8*w**2) to the form h*w + n*w**3 + a*w**2 + q and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1166 + -28569\/2332. Calculate the common denominator of u and -52\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 664*o**3 + 364 + 730*o**3 + 894*o**3 + 262 wrt o?\nAnswer: 6864*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 17*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849 - (-2 - -1)\/((-1)\/(-4))?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18))\/((-6)\/12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 3*a = -18*k + 10, -a = -10*k + 45. What is j in 0*j**2 - k + 5\/2*j**3 - 15\/2*j = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8953\/2 in 1, -1, -7\/3, 0.3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.52 in -0.4, -8\/3, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994014 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 8*o + 2 = 0. List the prime factors of o\/7 + 1404\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 8*g + 10. Suppose 9*c = -31 + 94. Determine v(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4568 (base 9) to base 15\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11076479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 27*q - 14. Let b = -126 + 110. Is 25 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1689, -2\/37, -0.98 in descending order.\nAnswer: -2\/37, -0.98, -1689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -376376 - 4?\nAnswer: -37637a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9918846 divided by -5\nAnswer: -9918846\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13927498 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4588280 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 317*g**2 - 277*g + 837. Let a be k(3). Which is smaller: 2860 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.9464 nanograms to milligrams.\nAnswer: 0.0004289464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 72*f**2 - 151*f - 59. What is l(74)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + 3*o + o)*(-o + 3*o + 0*o)*(3 - 4 + 2).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -45*m + 2210. Give i(47).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -55*y + 825. Let g be v(15). Is -11\/131 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -23 - (-5)\/((-5)\/2). What is the remainder when 118 is divided by (16\/10)\/((-5)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -1.8. Which is the nearest to -2\/11? (a) 2\/9 (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 30200, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0134841 to 4 dps.\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 + 8*d**2 - 7*d. Let l(q) = -7*q**3 + 17*q**2 - 15*q + 1. Let n(m) = 4*l(m) - 9*p(m). Calculate n(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v + 6*v - 54. Suppose v*m - 4 = -t - 5, -2*t = -4*m - 18. Suppose 0 = -4*j + 2*y, -12 = -3*y - 0. Solve -t*a = -j*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 1520*y - 87606. Give v(-60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0. Let z = 62 + -64. What is the closest to 2\/5 in q, 5\/4, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 3, h: 2}. Give prob of picking 2 d, 1 y, and 1 h.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 76216581?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 3*h + 1. Let x be u(1). Is 959\/((x + 0)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*b + 34*b + 4. Let a(w) = w**3 + w - 7 - 2*w**3 - 2*w**b + 8 - 2*w**2. Determine a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18737*d**2 - 47426*d**2 - 12482*d**2.\nAnswer: -41171*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -1\/6, -0.013, 0.9, -5?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*16\/(-24)*486\/15 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 8*x**2 - 7*x - 13. Calculate a(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.95198728 - -12.27.\nAnswer: 13.22198728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3030, 6058, 9086?\n\"Answer: 3028*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/168 and 137\/27594.\nAnswer: 110376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5\/4))\/((((r**5\/r)\/r)\/r)\/r))\/(r**(-3)\/(r**(-2\/15)*r)) assuming r is positive.\nAnswer: r**(307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose x*c = 131 - 32. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 594*m + 1771. What is b(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 9) to base 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2306*u - 555*u + 1787*u.\nAnswer: 3538*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 4\/5, -2 in decreasing order.\nAnswer: 4\/5, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/20 + 2\/4. Let c = -1039\/8 + 130. Put c, 2\/11, g in descending order.\nAnswer: g, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2 + 90*s. Let v(w) = -57*w**2 - 14*w. Let j(g) = -41*g**2 - 10*g. Let i(l) = 7*j(l) - 5*v(l). Give a(i(m)).\nAnswer: 36*m**4 - 180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 29 - 2*l**2 + 2*l + 5*l - 171 = 0. What is l?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) -62\/5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*t**3 + t**2 + 6*t**2 - t**2 - 1 + 1792*t - 1794*t as a*t**2 + n*t + k*t**3 + i and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/10 - 11*o**4\/12 - 16*o**3\/3 + 73*o**2. List the prime factors of q(12).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1239, 2478, 3717, 4956?\n\"Answer: 1239*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let p(n) = -4*n + 3. Let y(u) = -5*u + 4. Let q(d) = -4*p(d) + 3*y(d). Let b(c) = o(c) - q(c). Let f(t) = -7*t. Give b(f(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 6 - -3) + 10 + -34 + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(3\/3*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22300364 (base 7) to base 10\nAnswer: -1932998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*d + 5*s, 4*d + 13*s - 65 - 32 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28718*u**2 + 57296*u - 280.\nAnswer: 2*(u + 2)*(14359*u - 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.0511 + -0.9321. Let m = q - 0.019. What is m rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/24*41)\/(514\/(-258) + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 59. What is w(-34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erzz when four letters picked without replacement from nezoozeozreoz?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:48 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 8. Suppose -r*s = -5*t - 30, -t + 5*t = 2*s - 26. Suppose -4757 + 11662 = s*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*l + 914*l - 122*l)*(5 - 3 - 11).\nAnswer: -7614*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3862*x**3 - 2*x**2 + 31*x - 9?\nAnswer: -23172*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -524 + 1781. Suppose -k*s + 1249*s = -3736. What is the remainder when s is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*o + 1319*o - 712*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -42\/8585?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 1936 = -52*n. What is the least common multiple of n and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.1 + 28. Let b = x - 1.2. Let o = -0.699996 + b. What is o rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 13. Let z(h) be the first derivative of -h**2 + 13*h + 4. Let m(t) = -4*p(t) - 5*z(t). Calculate the lowest common multiple of m(-12) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669535.7 decades in millennia?\nAnswer: 6695.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 11*m + 16. Let z(i) = -i**2 + i - 1. Let h(y) = k(y) + 4*z(y). Let q be h(5). Let x = -1 - -1. Solve 0*a - a - q = x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/22625 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let f = 3.8 + s. Put f, -2\/7, -0.1 in descending order.\nAnswer: -0.1, f, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286438929 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.2864 to two decimal places.\nAnswer: -36.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) 1 (c) 0.5 (d) -2\/17 (e) 3\/8 (f) -0.434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209 + 267. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12019369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 76?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 3*h - 38 = 0, -4*l - 4*h = -56. Suppose -z + 3*z = l. Suppose -z*v + 1363 = -937. Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 4, 4*c = -5*x - 21. Let s(p) = -9*p**2 - 6*p + 4. Let u(m) = -4*m**2 - 3*m + 2. Give x*u(j) + 2*s(j).\nAnswer: 2*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/6)\/(3\/(-9)). Suppose -j*q + 292 = -68. Round q to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -0.1251, 0, -1, -3.\nAnswer: -3, -1, -0.1251, 0, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**2\/2 - 2. Let k(s) = 0*s**2 - 3*s**2 + 4*s**2. What is t(k(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 - t - 1. Let l be f(3). Suppose 28*d + 92 - 38 = -26*d. Sort l, d, 3, 4.\nAnswer: d, 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/378820 and 127\/54560?\nAnswer: 33336160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(360)*-2)\/sqrt(10))\/((-1*sqrt(144))\/sqrt(12)*-5).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18682239 times 0.3\nAnswer: 5604671.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 201, 199, 195, 189, 181?\n\"Answer: -s**2 + s + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0)\/(-1 + 0). Suppose x = -2*h + 3*h - 3. Solve d - h = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 9, q: 8, i: 1}. What is prob of picking 1 x and 2 q?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -4*h + 9 + 3\/2*h**2. Differentiate x(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*a + 4*a + 28 = 0, 0 = 2*s + 3*a - 18. Suppose 3*r - s = 3*f - 0*f, -12 = -3*r - 2*f. Solve 2*j + 5*z + 9 = 0, -r*j - 8*z + 3*z - 13 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.298816 to 1 dp.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (384\/36 - 11)*51. Let q = 15 - 35. Which is bigger: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -305 - -509. Suppose -4*f + 3*l = -c + 7, -3*l = -3. Let d = -31 + f. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55484 and 21143672?\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -5. Solve 5*k**4 + k**f - 3*k**3 - 6*k**4 + 2*k**2 + 2*k + 0*k**3 - k**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**3\/4 + 45*u**2 - 71*u - 24.\nAnswer: -(u - 24)*(u - 2)*(7*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -0.1. Let m = -0.8 + 0.7. Which is the closest to o? (a) m (b) 1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5332*v - 6233. Let b(o) = -5324*o - 6230. Let t(z) = 5*b(z) - 6*i(z). What is the first derivative of t(k) wrt k?\nAnswer: 5372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) - (-1)\/(-14). Let n be 2\/(-6) - (-2)\/(-3). Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(21\/6 + 969\/(-204))*-10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -430.28 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/18*-3 + (-17)\/(-10). What is the nearest to -0.1 in 1, s, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-58)\/348).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hlllllllllll?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/18 and 9\/36742522.\nAnswer: 330682698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1331, -2, -3, -1, -22 in increasing order.\nAnswer: -22, -3, -2, -1, 3, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0)**1)**(2\/165))**(1\/5) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-315)*9*21\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519120 and 2160?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 14 + 11 - 7*d**2 - 25.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/63*(-7)\/2. Suppose 5*z + 3*p - p = 4, z = -2*p - 4. Suppose i = 5*i + z*m - 120008, -i - t*m = -30008. What is i rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 2, 1 in increasing order.\nAnswer: -2, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10252 (b) -1\/4 (c) 0.175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -20 - (0 + (-2 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3003431 (base 7) to base 6.\nAnswer: -11331442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/147 - g**5\/70 - 5*g. Factor u(w).\nAnswer: 2*w**3*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 70?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77355*i**2 - 3*i - 6357879 wrt i.\nAnswer: 154710*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 5 + sqrt(99) + 0 + sqrt(99) + sqrt(99) + -1) + 5)**2 + -1 + -4.\nAnswer: 5292*sqrt(11) + 34472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -13. Let n be (0 + 0 - 0)*-1. Let r be (-4)\/(-8)*(0 - n). Solve -i*m + 2*j - 5*j = 0, -m + 4*j + 25 = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -5 (b) -2\/873 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.1 (c) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5359485524?\nAnswer: 2, 1709, 784009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104 or 99?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 + -577 - (-2 - (2 - 1 - 1))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 5) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**5\/5 - 29*y**3\/3 + 41*y**2\/2 - 1753*y - 6186. Differentiate j(o) wrt o.\nAnswer: -4*o**3 - 58*o + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246670556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/49)*n**3*n\/(n\/(n*n**(-31)))*n*n\/(n*n\/(n**0*n)*n*n) assuming n is positive.\nAnswer: n**(-1369\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 636 - 636. Let q be ((-18)\/4)\/((-6)\/(-8)). What is the smallest value in d, q, 0.3, -1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2 - 1283899*d + 534564.\nAnswer: 2*d - 1283899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 55472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/4 - 139*y**3\/4 + 4615*y**2\/4 + 15123*y\/4 = 0 for y.\nAnswer: -3, 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 25*d**2 + 17*d - 114. What is o(25)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1470 and 121\/140?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -459, -462, -467, -474, -483?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6 + 18. Let p(h) be the second derivative of -h**3\/3 - 2*h**2 + h. Let l be p(t). Put l, -2, -4 in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -20*z + 195. Let g(f) = -f**3 - 2*f**2 + 4*f - 5. Calculate the lowest common multiple of g(-5) and b(8).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 38*d**2 + 12*d + 6. Does 33 divide x(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.068 - 2.932. Let k = -3 + 4. Let u = 0 - k. Put v, u, 0 in decreasing order.\nAnswer: 0, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -111. Suppose -j + 6*j = -4*v - 1, -v - 3*j = 9. Calculate the remainder when w is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59875?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose -55 = -u*z - 3*z. Let q = -12 - -16. Calculate the remainder when z is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28)\/(-6*(-11)\/308*12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*f - 1468 + 1424 = 0, 2*j - 60 = -5*f. Solve -j*g = 20 - 30 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 56*i - 137. Let t be c(-9). Let w = 1152 + t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2*z**3 + 2*k**2*z**2 - k**2*z - 26*k**2 + 14*k + 37942942*z**3 - 2*z**2 - 205 wrt z.\nAnswer: -12*k**2 + 227657652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 10*o + 22 = -6*o, 4*p + 4 = 3*o. Solve 2*z + p*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 2*w.\nAnswer: -2*w*(w - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, c: 3}. Give prob of picking 3 p.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4042.98864 to zero dps.\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1991*f + 1796*f - 3771*f - 1085 + 1085.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23532, 47073, 70618, 94167, 117720, 141277, 164838?\n\"Answer: 2*t**2 + 23535*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 11*g - 363. Give j(26).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3237 or 3236?\nAnswer: 3237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 - 2*c + 4. Let v = 7 + -5. Let y(l) = l**3 - 2*l - 2*l + 3*l + 1. Let g(j) = v*y(j) - r(j). Find the first derivative of g(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 555 and 346098?\nAnswer: 1730490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 164 - 200 + 280*b.\nAnswer: 280*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*n - 24 = -0*n, m - 2*n + 8 = 0. Suppose -2*g - 4 = 2*g. Let h be 2 - 59*m\/g. Round h to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 6, -64, -154, -270, -418, -604, -834?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -3. Suppose -6*g + 3*g + l = 0. Suppose 640 = 2*o + g*o. What is the greatest common factor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 316 in -4, 4, 8\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + d**2 - 5*d + 3*d**2 - 3*d**2 - 2*d**2 + (-2*d - 2*d + 5*d)*(2*d - d - 2*d) - 2*d**2 - 3*d**2 + 3*d**2)*(0 - 1 + 0).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 9:10 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12. Let s(v) = v + 1. Suppose -225 = 20*c - 285. What is c*r(j) - 36*s(j)?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 483, 1790, 3965, 7008, 10919, 15698, 21345?\n\"Answer: 434*y**2 + 5*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7162674, 14325351, 21488028, 28650705, 35813382?\n\"Answer: 7162677*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17522, -140241, -473342, -1122017, -2191458?\n\"Answer: -17532*o**3 + o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 10, 1, -1 in increasing order.\nAnswer: -13, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w**2 - 12*w + 12*w)*(-34*w**3 + 50 - w - 50).\nAnswer: 408*w**5 + 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - s - 19. Determine f(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, x: 5, c: 1, s: 4, d: 1, t: 4}. Give prob of sequence cdcd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 1. Let r(s) = -3*s - 1673 - 1668 - 1672 + 5015. Let g = 4 + 0. Suppose -g*p + 3*w - 4 = 31, p - 5*w = -30. What is p*y(k) - 4*r(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1925 = 5*i - 16*i. Calculate the greatest common factor of i and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12053*s*w**3 + 6356*s*w**2 + 1879*s*w + 146510*s - w**3 - w**2 wrt w?\nAnswer: 72318*s*w + 12712*s - 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/20*2)\/(3\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.18 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1 + (2 - -1))*6. Solve h - i*h = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = 2*q - 4 + 6, q - 4*w = 30 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*13592.05.\nAnswer: 5436.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alhalltllllllllgllhl. What is prob of picking 1 a and 1 t?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 62 - 5. Solve -30 = d + 5*k - 10, 3*k = -2*d - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -35. Solve 2*j + n*q + 4 = 0, -3 = 3*q + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 2. Let o(t) = -t**3 + 4*t**2 + 4*t + 5. Let x be o(4). Let m = -23 + x. Let r be ((-12)\/(-20))\/(m\/10). Calculate w(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r**2 + 8195*r + 1953. Calculate j(-390).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nssnqdgnwnsqwnnssdq. Give prob of picking 1 w, 2 d, and 1 s.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412712*x**5 + 6*x**4 + 15*x**2 - 370709*x - 690?\nAnswer: -8254240*x**3 + 72*x**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8825 (b) -1\/6 (c) -15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14c00 (base 13) to base 11\nAnswer: 27648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-27))\/((-14815)\/90). Let p = h + 305861\/165928. Find the common denominator of 11\/40 and p.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 2*q**2 + 0*q**2 - 5*q**2. Let v(d) = 35*d - 599. Let c be v(17). Let i(k) = 4*k**2 + 2*k**2 - 7*k - k - k. Determine c*i(p) - 9*o(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-222)\/(-259))\/(2 - 13\/7). Let n be (-33)\/3*(-2)\/4*p. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 2. Suppose 2*i = 64 + 8. Suppose 4*n - i = 2*c, 0 = 3*c + c + 8. Calculate the remainder when 29 is divided by j(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -208, 203, 1372, 3695, 7568, 13387?\n\"Answer: 66*u**3 - 17*u**2 - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/6*((-13496)\/100 - 4). Let l = c + -917. What is the common denominator of l and ((-22)\/6)\/((-16)\/54)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2, -10164, 0 in descending order.\nAnswer: 2\/17, 0, -2, -10164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a1 - -27?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 160. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 44, 0.19?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20 = -4*x, 5*x = 2*p + 33. Sort 5, p, 2, 13 in decreasing order.\nAnswer: 13, 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*a - 118 + 118.\nAnswer: -113*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 11*v**3 - 14*v**3 - 8*v**3 + 4*v**3 - 3*v**3 + 3*v**3 + (1 + 2*v - 1)*(4 + 2*v**2 - 4) + 2*v**3 + 3*v**3 + 0*v**3.\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 8*s**2 - 10*s + 12. Give f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.9. Let j = 27 - 25. What is the second smallest value in l, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**4 - 202*a**3 + 2294*a**2 + 5204*a + 2702. Let z(p) = 12*p**4 - 607*p**3 + 6883*p**2 + 15614*p + 8105. Let h(n) = -7*q(n) + 2*z(n). Factor h(u).\nAnswer: -4*(u - 26)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111201200220222 (base 3) to base 7\nAnswer: 116006420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -614 + -2?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*o**6 - 2*o**5 + 3*o**2 + 45?\nAnswer: -3480*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(3*n + 2*n + 0*n) + (2*n - 6*n + 2*n)*(9 + 1 - 2) as y + q*n and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (723*t + 1103*t - 3704*t)*(-6*t - 4*t - t).\nAnswer: 20658*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.64, 4, 1\/9, 0.1, -3, 11 in decreasing order.\nAnswer: 11, 4, 1\/9, 0.1, -3, -6.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2399\/2 - 19127\/16. Calculate the common denominator of l and (-5802)\/1920*-2 - (8 - (-8)\/(-4)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -24. Suppose -4*y + 535 = -c*n, -3*n = 5*y - 2*n - 645. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -1\/4*i**4 + 0*i**2 + 0*i - 1\/3*i**6 + 5*i**3 - 71 + 0*i**5. What is the third derivative of g(z) wrt z?\nAnswer: -120*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953125 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*l**2 + 0*l**3 + 0*l + 2\/7*l**4.\nAnswer: 2*l**2*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 37 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 13*r + 1. Give t(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716*z**2 + 5 + 5 - 386*z**2 - 318*z**2.\nAnswer: 12*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 376*q**2 + 0*q**3 - 376*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10202483, 20404980, 30607477, 40809974?\nAnswer: 51012471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27804 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let s(x) = 6*x**3 + x**2 + 7. Let k(y) = -2 - 2*y**3 + y**2 - y**2. Let h(t) = c*s(t) + 7*k(t). Factor h(d).\nAnswer: -2*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20516, -41027, -61538, -82049, -102560?\nAnswer: -123071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 16 - 2. Let p(r) = 3 - 3215*r - r**3 - 5 + 0 + 3207*r + 1 + 0 + 8*r**2. Calculate p(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**3\/3 + 3*f**2\/2 + 24*f + 97. Is u(-8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**3 - 2*q - 2. Let s(z) = -32*z**3 - 9*z - 9. Give 9*f(x) - 2*s(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.23 and 3.49776?\nAnswer: 28.7865648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.56426 in 1\/5, 1, 27, -3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -153. Let u be (-1)\/1 + (-36)\/(-44). What is the closest to 2\/15 in 0, f, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 6*p**3 - 22*p + 15.\nAnswer: (p - 1)**2*(p + 3)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:39 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.092 - -0.1. Let n = 4.608 - z. Let f = n - 5.46. What is f rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 43*l**2 + 2*l + 102. Calculate the remainder when 42 is divided by m(-43).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4343 and -0.05022?\nAnswer: -218.10546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*x - 85 = 0, 82 = -k - 4*x + 2*x. Let t be (-1 + 0)*k\/(-264). Let c = t - -5\/11. What is the second smallest value in -2, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 1:40 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(-1 + sqrt(180) + -2 + sqrt(2420) + 3 + 1*sqrt(500)))**2.\nAnswer: 779760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.303 and -110.5.\nAnswer: 33.4815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (34 - 91) + 20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b396 (base 16) in base 3?\nAnswer: 2100001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53604859*o**3 - 3*o**2 + 362141712*o wrt o?\nAnswer: 321629154*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -23*v**2 + 906*v - 911. Let l(d) = 13*d**2 - 452*d + 455. Let t(n) = 7*l(n) + 4*m(n). Determine y so that t(y) = 0.\nAnswer: 1, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2261, 2263, 2265, 2267, 2269?\n\"Answer: 2*s + 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 86*v**2 + 184*v + 95. Is w(-21) a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 9*g + 7. Let v be u(5). Let s be ((-24)\/18)\/v*-234. What is the greatest common factor of 36 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*y + 39*y = -48720. Let w be 17 - ((-6)\/(-3) - 1). Calculate the greatest common factor of y and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjwwjw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15639.88 litres in millilitres?\nAnswer: 15639880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13) + -1)**2*-2)*6*5.\nAnswer: -840 + 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 9*o**2 - 20*o - 13. Let t be x(-11). Let m = -23 - t. Solve b = 4*b + m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6530 is divided by 648?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6988?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - -9 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 21300 = -5*l - 132190, -110875 = -5*t + 2*l. List the prime factors of t.\nAnswer: 3, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 70 - 106. Suppose 2*m - y = -6*c + 4*c, 0 = 5*m - 3*c - 21. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11147, 11149, 11153, 11159, 11167, 11177?\nAnswer: 11189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.10837677.\nAnswer: 12.43350708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18388 - 15818. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36046391 bigger than -36046390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -6*r + 9*r. Suppose 4*p + r = -4*d, 1 = p - 2*p. Let o be 3\/(-12) + (-5)\/28. What is the second biggest value in d, o, -1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 9*j**4\/4 + 25*j**3\/3 + 7317*j - 11301. Find the first derivative of a(q) wrt q.\nAnswer: 27*q**2 + 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + d**2 - 5*d + 5. Let j be k(1). Put -27, 0.2, j in ascending order.\nAnswer: -27, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + 0.1. Let r = -60\/451 - 2\/41. What is the smallest value in l, r, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4167 - 59598 = -9*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521*t**2 + 6781*t**2 - 315*t**2.\nAnswer: 7987*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93853 - 750889\/8. Suppose -3*u + 3*i = 165 - 33, 3*u - 4*i + 137 = 0. What is the common denominator of d and -2 + u\/5 + 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0992*-13.9.\nAnswer: -1.37888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 138?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from {z: 1, n: 12, v: 3}?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4155651944.68 - -0.22.\nAnswer: -4155651944.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391431 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:03 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16*o - 4. Let l be 3\/5*(-5 - 0). List the prime factors of j(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.3 + 36. What is the closest to -2 in t, -3\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -371 and 1216.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342 - -342.2. Which is the second smallest value? (a) l (b) 2\/7 (c) -1228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, -0.2, -29029?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992962818.\nAnswer: 2, 3, 55164601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/5)\/3)\/(57\/95)*-57?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7448?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 - 11*j**2 - 11966*j. Let q(l) = -l**3 + 2*l**2 + 2392*l. What is 2*m(v) + 11*q(v)?\nAnswer: -v**3 + 2380*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 6, 1.5, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from lwlllwwwwwlwww.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 9) + 1 + -14 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (884\/136 - 7*(-1)\/(-1))*8*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5976382 take away 70?\nAnswer: 5976312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 511173 rounded to the nearest 100?\nAnswer: 511200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12975, -49569, -110561, -195951, -305739, -439925?\nAnswer: -598509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 5 (c) 0.0098 (d) 1\/16 (e) -0.2 (f) 0.5 (g) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, 0.04, -1\/468, 0.36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x = 52*x - 153. Let c = -54 + x. What are the prime factors of c*(18740\/(-240) + (-1)\/4)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -73, 5142 in descending order.\nAnswer: 5142, 2, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*h - 95*h + 160. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 29 + 12 + -32.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + -1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 263765 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: What is the nearest to -31\/13 in 7, 0.02, 0.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:22 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870054 is divided by 277?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*z = -12, 0 = 4*d - 5*z + 11 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -155, 146, 525, 1006, 1613, 2370, 3301?\nAnswer: 4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 137 + 17*d)*(42*d**3 - 1144*d**2 + 1144*d**2) - 9*d**3 + 9*d**3 + 2*d**4.\nAnswer: 716*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 39.3?\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z - 18. Let d(k) = k**3 + k**2 + k + 1. Let o be d(-1). What is the remainder when z is divided by 10\/(0 + (1 - o))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 8. Let q be -2 + s - (-5 - -3). What is the derivative of 211*g - 24*g**q - 211*g + 16 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**4 - 266*t**3 - 3840*t**2 - 19656*t - 31104 = 0. Calculate t.\nAnswer: -18, -16\/3, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(153)*-2)\/(((sqrt(378) + sqrt(378) + sqrt(378) + -1*sqrt(378) + sqrt(378) + sqrt(378))\/sqrt(7))\/sqrt(6)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 4*s - 3*s + (-81 - 139 - 99)*(-2 + 2 + s) as t*s + w and give t.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/6*(-27 - -24). Let o be 4\/6*(-15)\/10. Let f = o - -2. Solve -2*m = -l*b - f, 0*b = 4*b + m - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 2*y**2 + 0*y**2. Let v(l) be the third derivative of l**6\/180 - l**3\/3 + 4*l**2. Let g(i) be the first derivative of v(i). Give u(g(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -161981 >= -161993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-28) + -2 + 1069\/(-7). Let c = n - -207\/2. Calculate the common denominator of c and 77\/422.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 = -32. Let m = a - 4. Is (-3)\/((-10)\/m - -3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 + 7899*f\/2 + 3951.\nAnswer: -3*(f - 2634)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -1 (b) 102.4 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -4. Let a be (6\/o)\/((-5)\/(-3)). Let t = -36 + 143\/4. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17742330 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -16, -2*t - 2*u = -3*u - 20. Find p, given that 3*p**4 - t*p**2 + 24*p - 564 - 6*p**3 + 564 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2743500 (base 10) to base 7.\nAnswer: -32214354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -17, -1699, -170, -3 in descending order.\nAnswer: 2, 1, -3, -17, -170, -1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13*u - 29 = -9*u, -3*s - u = -61. Suppose 9*t + s = 12. Which is smaller: t or -30\/19?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 6 - 1) + 1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - 2*(-692)\/8.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5395252.\nAnswer: 2, 353, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 4*n**2 + 5*n - 6. Let q be d(3). Factor 1\/2*x**4 + 1\/2*x**5 + 0 + 0*x**3 + q*x + 0*x**2.\nAnswer: x**4*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 127575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -0.2 (c) 44.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -46. Suppose r - y = x*y - 1392, 3*y - 4194 = 3*r. Round r to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94839, -379340, -853509, -1517346, -2370851?\n\"Answer: -94834*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*g + p, -38*g + 4*p - 14 = -39*g. Solve 20 = -15*a + g*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234 is divided by (298 - 255) + -17 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -2\/9, -0.1, -1\/4, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*104\/(-338)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693235 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -461? (a) 0.01 (b) 63 (c) 2\/15 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 192. Let y(a) = 3*a**2 - 30*a + 111. What is the remainder when z is divided by y(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + m**2 - 5*m - 25. Give d(5).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4954, -9952, -14950, -19948, -24946, -29944?\nAnswer: -34942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3)*((-10752)\/56)\/32.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - h = -0*r - 74, -2*r - 2*h + 28 = 0. Suppose u = r - 1. Let n = u + -9. Sort 1\/2, n, 2\/5 in decreasing order.\nAnswer: n, 1\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*a + 29, a + 3*w + 16 = 4. Let v = 1 + a. Suppose 6 = -3*o, -4*o + v = -5*m + 2*m. Is m at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*v - 69*v - 68*v - 11*v**2 as w*v + a*v**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23675, -23673, -23661, -23633, -23583, -23505, -23393, -23241?\n\"Answer: t**3 - t**2 - 2*t - 23673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 113223020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725.46795 rounded to zero decimal places?\nAnswer: 6725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppv when four letters picked without replacement from gvpvvgvvvpvpg?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4386236 is divided by 576?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9818938*q**2 - 12621177?\nAnswer: 19637876*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 - 6*t + 12. Let y(c) = 5*c**2 + 5*c - 12. Let h(x) = 4*q(x) + 5*y(x). Let r be h(-10). What are the prime factors of r\/4 - 3\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239101897 minus 0.044?\nAnswer: -239101897.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11210423 (base 5) to base 10\nAnswer: -100738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -6)\/((19\/24)\/(-19)). Solve -3*i + 9 = 0, -11*j - 3*i + p = -8*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3492 and 2425.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -32*y + 184. Let h be v(9). Which is smaller: -103 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55 - 20*g - 3043*g**3 + 25*g**2 + 55*g - 33*g + 19 wrt g.\nAnswer: -18258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/(-10)*(-12)\/18\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)*w)**(4\/13)*w*(w*(w\/(w*w*(w\/(w**6*w))\/w*w))\/w)\/w*w*w\/w**2*w)**2 assuming w is positive.\nAnswer: w**(836\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382 a factor of 188808378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6860238 and -92\/37731309?\nAnswer: 75462618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118.218312581 and 2.\nAnswer: 120.218312581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from {b: 2, x: 9, n: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 16*w + 59. Give m(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 225*c - 435. Suppose -z = -16 + 5. What is the least common multiple of j(2) and z?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let v(q) = -433894*q**2 + 6. What is v(r(y))?\nAnswer: -1735576*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 15*c**2 + 7*c - 8. Let r be o(-8). Solve r = j - 0 + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = -2*t + 1462, -290 = -q - t. Let l be 2\/(-8) - q\/(-24). Find the second derivative of -x**2 + 5*x**4 + l*x - 7*x + x**2 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 55386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 98205.1319 to the nearest 1000.\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -c8f (base 16) to base 8\nAnswer: -6217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 6. Let i be x(2). Suppose i = -v + 8. Solve -4*n + v*n = -16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v*v\/(v*v\/(v**9\/v))*v)\/v*v*v*v)\/v)\/(v*v**(-7)) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*n**3 - 160*n**2 - 211*n + 17 wrt n.\nAnswer: -114*n - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let o = l + 3. Calculate the remainder when (2 + -12)\/(o\/(-7)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1321*c - 3948. Calculate m(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7029 divided by 105?\nAnswer: -2343\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 2*o + 2, 4*f - 5*o = 5. Suppose 4*y - y = f. Are 1\/3 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1970*q - 7134 = -5*v - 1971*q, -q + 5708 = 4*v. What is the remainder when v is divided by 245?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x - 5*w + 7 = 0, -x + 2 = w. Let a be (5 + -4)*(x - -1). Calculate the remainder when 13 is divided by 23\/3 + a\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 559709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 166cc7 (base 13) to base 11\nAnswer: 351292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435 + 33528.\nAnswer: 33963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -62, -46, 2, 82?\n\"Answer: 16*n**2 - 64*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 79*w = 52*w + 135*w + 4592 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2591 and 0.\nAnswer: -2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -131, 25 in decreasing order.\nAnswer: 25, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-480)*1*4*1\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(48).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -589 and 756416039800?\nAnswer: 756416040389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*v - 3*b, -3*v - b = -0*b + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 658568570 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26 and 3\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j - 23. Let l be t(-10). What is the highest common divisor of 49 and l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 873358 and 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -2*j - j, 0 = -i - 4*j - 16. Let a be (-2)\/i + 50\/(-4). What is the least common multiple of (-16 + 1)*a\/30 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/5 + 1*2. Let y be 2\/4*1*w. Let g be y*2 - 9\/5. Is 0 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 3 - 3) + (41 - 33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27906739 rounded to 3 dps?\nAnswer: 1.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d - 1. Solve 5*v = 3*l - 2*l - d, 2*v + 5 = -l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1681697369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 5.9, -0.2, 6, 160?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 490 = -16*o. Let l = o - 98. Sort l, -10, 1.\nAnswer: -10, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36035?\nAnswer: 5, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-27)*6\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w + 139*w + 729 = -2123 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11249 - 11249.69. Which is the closest to -2\/3? (a) 0.3 (b) 5 (c) 0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(-13))\/w*w)\/(w*w**12))**(36\/11)\/(w**(3\/7)\/w**(-1\/6)*(w\/(w\/(w*w\/(w\/(w**(-5\/6)\/w*w)))))\/w**(-9)) assuming w is positive.\nAnswer: w**(-20399\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2749950*a**2 - a - 2749963*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 30064992*p - 90194967.\nAnswer: -(p + 3)*(p + 30064989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0235282 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 5. Let y be g(-5). Let n(h) be the second derivative of -1\/12*h**4 + y + h**2 + 0*h**3 - h. Differentiate n(v) with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 3*p + p)*(-4*p + 2*p + 0*p).\nAnswer: -8*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6354288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/(15\/(-40)). Suppose 0*x + j*l = -x - 22, 11 = 2*x - 3*l. Let m(i) = 2*i. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 474*g + 5. Determine l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(4\/21))\/(y\/((y\/y**(-4\/9))\/y)))\/(y**14\/y*y\/(y*y**1)))**(3\/8) assuming y is positive.\nAnswer: y**(-179\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359034425?\nAnswer: 5, 14361377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773815727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, p: 5, m: 1, t: 2}. Give prob of picking 1 t and 1 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 - 333*h + 34935.\nAnswer: 3*(h - 274)*(h - 170)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 128. Let a = 50 - u. Suppose -4*r - 3*z = -886, a*r + 80 = 2*z + 736. What are the prime factors of r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 3*l**4\/2 + 4*l. Let o(b) = 20*b**2 + 17. Let n(j) = 7*j**2 + 6. Let m(p) = 17*n(p) - 6*o(p). What is z(m(y))?\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*r - 16, 0*r - 11 = -4*r - 5*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:59 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439\/4830 - -1\/230. Let r = 103\/327 + 2\/109. What is the closest to -0.1 in -1\/8, x, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**5 - 34*j**3 - 13*j**2 - 2*j + 272?\nAnswer: 60*j**3 - 204*j - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 108 = -3*l, 4*d = -12. Let v = l + -32. Suppose -v*p + 9 = -2*p. What is the smallest value in -0.2, p, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + -3*(1*(sqrt(288) + 0) + (sqrt(288) - (4 + -2*sqrt(288) - sqrt(288)))) + 4)**2.\nAnswer: -4320*sqrt(2) + 64944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 31*r**2 - 106*r - 134. What is s(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3.39.\nAnswer: -1.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 94, -20 in descending order.\nAnswer: 94, -2\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 60*z - 58*z = -14, 5*z = -4*l - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 8*v + 12 = 0. Let x be 126 + 0\/(-2) + v. Suppose 4*s + 3*q = x, -2*q - 12 = -6*q. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274598549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {u: 2, k: 2, q: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 2*f + 2. Let a be b(2). Suppose 2*c + 4 = -a*c, -r - 4 = 3*c. Let l be 3 + (-1 - r) - -1. Solve l + 5 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 229138092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.483 + -2.883. Is 9\/7 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2) - (-45)\/12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(1210) - sqrt(1210))\/(-2*sqrt(500)) + (sqrt(242) - (sqrt(242) - (-1 + sqrt(242))*3)**2 - (-1 + sqrt(242) + -5)**2)).\nAnswer: -1650*sqrt(2) + 7530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3+-2569010\nAnswer: -2569007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9.32. Let a = y - -0.02. Let i = 261.5 + -263.5. Sort i, a, 5\/4 in decreasing order.\nAnswer: 5\/4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/80 + 53*y**5\/120 + 5*y**4\/12 - 3*y**3 + 52*y**2. Factor g(w).\nAnswer: -(w - 18)*(w + 1)*(3*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/22 and -29\/1533526.\nAnswer: 16868786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37792 is divided by 3767?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 less than 34.4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -7*i**4\/6 + 44*i**3\/9 - 17*i**2\/3 + 4*i\/3 + 340. Find h such that n(h) = 0.\nAnswer: 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*l + 26, -65 = -5*z - 3*l + 6*l. Let j(i) = -i**3 + 9*i**2 - 2*i - 2. What is the remainder when j(8) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**2 + 2*t - 12. Let g(x) = 10*x**2 - x + 13. Let m(i) = -6*a(i) - 5*g(i). Let u be m(6). Let d = 220 - u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b6564 + -2?\nAnswer: -5b6566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14311301 + -12?\nAnswer: 14311245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h + 437. Let x be n(-29). Is x <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 701.602.\nAnswer: -2806.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44228084, 44228070, 44228056, 44228042?\n\"Answer: -14*p + 44228098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 5*w**2 + 3*w**2 + 0*w**2 - 2*w**2 + w**2 + (0*w + w - 3*w)*(-2*w - 2 + 2) + w**2 + 2*w - 2*w + (2*w + 2*w - 9*w)*(w + 4*w + w).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/260)\/((-360)\/780).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:12 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1161)\/(-54) - 21)*(-1)\/(3\/2). What is the closest to 0.06 in -4, 4\/3, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + j**2 + 2*j + 1. Let v be b(-1). Suppose v - 9 = -5*t. Sort -2, t, 5.\nAnswer: -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Which is the second smallest value? (a) -2196 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**2 - 50*f**2 + 14*f**2 + (-2 + 2 - 1)*(-14*f**2 + 13*f**2 + 20*f**2) as n*f + t*f**2 + u and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/3 - 4015*k**2\/3 + 89093*k\/3 + 375441 = 0 for k.\nAnswer: -4037, -9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 - (-16 - (-14 + -9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v - 15. Let p be u(-25). Suppose -175*y**2 + p*y**3 + 3*y**2 + 16 - 176*y**3 = 0. Calculate y.\nAnswer: -2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -o - 5, -17 = -3*o - 13*j + 11*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, t: 2, a: 1, f: 2, e: 1}. Give prob of picking 1 t and 1 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/(21\/(-4)*(-7236)\/3015).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b787 - 1042?\nAnswer: 1a745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41543 + -41543.2. Which is the second smallest value? (a) -9.23 (b) t (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107\/174 + 3\/58. Let d(z) = -z**3 + 2*z**2 - 3*z + 473. Let s be d(0). Let j = 475 - s. Which is the closest to -1\/2? (a) j (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21464466 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 36*y**3 + y**2 - 3*y - 1. Let l be g(-2). Let k = 444 + l. Let d = -665\/4 + k. What is the third biggest value in -5, 1\/5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365432 divided by 5\nAnswer: 365432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2101, 2098, 2095, 2092?\n\"Answer: -3*x + 2104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 4, t: 9}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 287 + -408.25. Let z = 2.75 - m. Let l = -125 + z. Are l and 42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1021\/13 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/17177650?\nAnswer: -3\/17177650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 41052001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 253261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9673, -37350, -83021, -146686?\nAnswer: -228345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-21)\/35?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.3793g to tonnes.\nAnswer: 0.0007353793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(21\/(-3)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2425, 4882, 7341, 9802?\n\"Answer: v**2 + 2454*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 543 - 543.377. Let n = i - -0.29. Let v = n + -1.913. What is the closest to 1 in 1\/3, -3\/5, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 8. Let b(f) = f**2 - 5. Calculate -7*b(u) + 5*c(u).\nAnswer: 3*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9)*9\/12*15.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3 + 11. Suppose -q - c = -0*q. Let o(k) = -k**3 - 2*k. Let f(i) = -3*i**3 - 5*i. Determine q*f(r) + 10*o(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 3*c**2 - 8*c - 2. Let f be m(-6). Find the common denominator of -145\/12 and f\/44 - (-1 + -1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15023*5555\nAnswer: 83452765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 432, 700, 994, 1314, 1660, 2032?\nAnswer: 2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -191, -2.9, 1\/2, 52?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 + -852 - (2 - 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.14 - 11.14. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 45*p**3 - 2*p**2 + 3*p - 1. Let r be t(1). Suppose r = -8*j + 125. What is the highest common divisor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -3, 18, 57, 120, 213, 342?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, t: 1, j: 1, g: 1}. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**3 + 21*q**2 - 2. Let a(d) = 25*d**3 + 63*d**2 - 7. Determine 2*a(g) - 7*j(g).\nAnswer: -20*g**3 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 68 = -100. Solve u*g - 6*g = -16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-3) + (-3)\/(-9). Let s = -5 - b. Suppose -s*y = -6*y + 28. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.4, -1.5, 0, 1, -21\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z**3 - z + z + 3*z**3 - 1 + 41240*z**2 - 41262*z**2 to the form h*z + t*z**3 + x*z**2 + c and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 420 = -4*z, -875*z + 876*z + o = 105. Solve z*k = 107*k - 12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 1 (c) 33 (d) 9 (e) -5 (f) -458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*f + 3*f - 5*r, 5*r = -3*f - 9. Let c(d) = 35809*d - 35809*d + 3*d**f. Let n(j) = -8*j. Let w(z) = z. Let o(y) = n(y) + 4*w(y). What is o(c(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-4)\/(-4))\/1*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6))\/((-9)\/(-18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11\/43 (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -55*k**3 - k**2. Give s(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3 + 173. Suppose -227 = -3*d - g. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*m)*(-1 + 1 - 2 + (4 - 4 - 2)*(-2 + 2 + 1) - 1294 - 1363 + 3012) to y + f*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -997815 divided by -3913?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/4)\/(((v*v**(1\/3))\/v*v)\/v)*(v**(-2\/3))**15 assuming v is positive.\nAnswer: v**(-133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -22*z + 4140. Let t = 249 - z. Suppose 2*r = -3*o + 144, -o + 129 = 2*o - 3*r. Calculate the highest common factor of t and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from dkrkd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 19 = 4*u + 19*k - 29*k + 15, 3*u = 2*k + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-147)\/12)\/7*(-2 + 122). Let x be ((-6)\/15)\/(3\/m). Suppose -3*w + 84 = -w. What is the greatest common divisor of w and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/45)\/((-9)\/45)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 3*z + 6. Let b = -140 + 136. Let p(y) = -y**2 - 3*y + 5. Determine b*p(k) + 3*u(k).\nAnswer: -2*k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14830 divided by 8.\nAnswer: -7415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/20467, -24, 2, 1 in ascending order.\nAnswer: -24, 3\/20467, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -12, 4 in descending order.\nAnswer: 4, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 551*z. Suppose -31*h + 6*h + 50 = 0. Let q(d) = -4 + 0 - 2*d**h + 4 + 4*d**2. Calculate s(q(c)).\nAnswer: 1102*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -114307.8341 rounded to the nearest one hundred?\nAnswer: -114300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**4 - 17*s**3 + 9. Let r(t) = -2*t**4 - 6*t**3 + 3. Let n(m) = 17*r(m) - 6*v(m). What is the derivative of n(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1710 and 249861780.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117858194.\nAnswer: 2, 2437, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4))**(-2\/15)*(w*w\/(w\/w**2*w))\/(w*w\/w**(1\/2)*w) assuming w is positive.\nAnswer: w**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w + 460 - 32*w - 22*w - 458.\nAnswer: -7*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 393 - 357. Suppose 54*k = c*k. Solve k = -14*f + 12*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from pzpdzdrrzddpzzrdxd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14403573.\nAnswer: 3, 17, 47, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 6*j + 495. Let s(z) = -z**2 + z + 3. Determine n(q) - 6*s(q).\nAnswer: q**2 + 477","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1535\/5526)\/((-116)\/(-783)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 - -1.6. Suppose 0*x + x = -2. Let f be x - 1\/(7\/(-16)). Sort y, f, 0.05 in decreasing order.\nAnswer: f, y, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.8461 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/17)*y*y**(13\/5))**50 assuming y is positive.\nAnswer: y**(2860\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/(13*4\/182)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 12:35 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1775.88 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181838\/41 + 4435. What is the fourth smallest value in 3\/7, 0, -10, 3, t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 7 + 6 - 2. What is the remainder when (-6 + 3)*(i + (-40 - 6)) is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(17 - (-12)\/(-60)*0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1 - 37*r**2 - 38*r**2 - 36*r**2 - 2*r + 4*r - 48*r**2 + 155*r**2. Suppose -3*o - 16 = -5*j, 2 = -5*o - 2*j - 2*j. Calculate v(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 5*w - 69. Sort 4\/3, -0.01, 0.3, w in decreasing order.\nAnswer: w, 4\/3, 0.3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -0.0584?\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j + 2*g - 46, 35 = 3*j + 5*g. Suppose -j = -23*f + 13*f. Let r(d) = -6*d - 2 + 5*d**2 + 9*d**f + 2*d**2 - 15*d**2. What is r(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3\/1 + 1. Suppose 4*r + 26*r - 1832 = -152. What is the remainder when 1 - (x + (-223)\/1) is divided by r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -425, -663, -915, -1187?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12002.95449 + -12003. What is s rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531 by 9.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -17*h + 180. Give u(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 966621, 1933237, 2899849, 3866457, 4833061, 5799661, 6766257?\nAnswer: 7732849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62643 is divided by 31063?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1150\/7 + 164. Let n(t) = 2*t**3 - 16*t**2 - 2*t + 12. Let v be n(8). Which is the closest to -0.3? (a) -5 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10292, 10324, 10410, 10574, 10840, 11232, 11774?\n\"Answer: 4*c**3 + 3*c**2 - 5*c + 10290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhap when four letters picked without replacement from {w: 1, a: 1, p: 3, z: 5, h: 3, b: 1}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3066 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.884444285 rounded to two decimal places?\nAnswer: -5.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/60 - 89*n**5\/15 + 41*n**4\/12 - 3*n**2 + 38*n. Find the second derivative of u(z) wrt z.\nAnswer: -12*z - 712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 - 208. What is the fourth smallest value in -0.1, 0, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 - 1542*d**3 + 3*d + 0*d**2 - 14*d**2.\nAnswer: -1542*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = -7. Let f = 71 - g. Let t = f + -18. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 10, m: 2, w: 1, t: 2}. Give prob of sequence xwt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124\/21 + -130\/21. Put -0.4, -8, t in descending order.\nAnswer: t, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138392 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-12)\/4)*12\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1624 + 1642. What is the closest to -0.3 in -3\/5, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 + 0*p**2 + 3*p)*(4*p - p**2 - 4*p).\nAnswer: p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -24*h**2 - 2*h - 2. Let o be n(-1). Let j be (91\/(-26))\/(2\/o). Suppose -4*r + 2*r = -j. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-144)\/(-495) + (-86)\/(-22) + -4. Let d be -2 + 3 + (-6)\/4. Let t = 87 - 521\/6. Put o, d, t in descending order.\nAnswer: o, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -17*f - 0*f. Solve -50 = 8*j - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-6 + 12 - (-14 + (-9 - (-18 - -9))))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -763 - -3524. Let m = y + -1912. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 697, 2496, 6003, 11788, 20421?\n\"Answer: 95*m**3 - m**2 - m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y. Let h(s) be the second derivative of s**2 + 0 + 0*s**3 + 4*s - 1\/24*s**4. Let g(p) be the first derivative of h(p). Determine 5*g(m) + r(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 31*h + 3*i = 11, -2*i = 3*h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -13. Let r = 2 - -11. Let k = r + -11. Which is the smallest value? (a) j (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*q**5 - 39*q**4 - 10165*q**3 + 17*q**2 + 1016449 wrt q?\nAnswer: 4020*q**2 - 936*q - 60990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345 - 343. Sort m, -8, 4 in descending order.\nAnswer: 4, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/(l*l**8\/l))\/(((l\/(l\/(l\/(l\/l**1)*l*l*l)))\/l)\/l)**30)**(-15) assuming l is positive.\nAnswer: l**1035","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*z - 33608 = 1865*z - 2790 + 2724 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6)*(10 + -325). What are the prime factors of q\/(-26) - (-2)\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 1. Suppose -6 = -8*o + v. Suppose -2*t + 77 = -o. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*y**2 - 8*t**2*y - 87*t**2 + 9*t + 17*y**2 - 12 wrt t?\nAnswer: 2*y**2 - 16*y - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 368 in decreasing order.\nAnswer: 368, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q = 10*q - 2330 + 2486 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -55*r - 9. Let q(u) = -28*u - 3 + 2 + 18*u. Let j(a) = -5*q(a) + s(a). Let t = 14 + -20. What is j(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(19) - (sqrt(19) + -1)**2).\nAnswer: -15*sqrt(19) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216262 rounded to the nearest 1000?\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 160, 366, 656, 1030?\n\"Answer: 42*f**2 - 4*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4033832882?\nAnswer: 2, 97, 1861, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336.4247 - 0.5753. Which is bigger: -1.8 or i?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(320) + sqrt(320) + 1 + -1)*3)**2 + 0 + 0.\nAnswer: 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.86 - 2.86. Put a, -4, -2\/9, -0.1 in descending order.\nAnswer: -0.1, -2\/9, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/533128 and 85\/21.\nAnswer: 11195688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -6)\/(2\/(-32)). Let r be i\/10*(1 - 6). Let v = -33 + r. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1526 divide 10837652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8123.848 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874*f = -1058*f + 7824048. List the prime factors of f.\nAnswer: 2, 3, 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -747391050 rounded to the nearest one hundred thousand?\nAnswer: -747400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 332832612 to the power of 1\/2, to the nearest integer?\nAnswer: 18244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -5 - 3) + 2. Let t be (0 + (-2)\/6)\/(4\/36). Let u be (4 - (-27)\/t)\/(-6). Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 19 + 30. Let h be 2\/s - ((-197)\/70 - -3). Let r be (2\/(-7))\/(20\/(-56)). What is the third biggest value in 0.3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057714 rounded to 6 dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 716\/9, -830\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/2)\/h*h)\/h*h**(-1\/4))\/(h**(-17)\/h**(-11)) assuming h is positive.\nAnswer: h**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:22 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4*d - 4)*(-2*d - 2*d + 2*d + 3*d + 2*d - 4*d + (2 - 3 + 3)*(0 + 0 + d)) as a + x*d + i*d**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7*-4)\/(-1*1). Suppose j = 0, 2*j - 6*j = -4*l + v. Suppose -2*b + 5 = k, -3*b - 20*k + 15*k - 10 = 0. Sort b, l, -1 in descending order.\nAnswer: l, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 2 - 2*f**3 + 4 + (0*f**2 - 2*f**2 + 3*f**2)*(21*f + 18 - 18).\nAnswer: 20*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, v: 2, b: 3, s: 2, f: 5, p: 1}. Give prob of sequence bfs.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let w be (5\/10)\/(-1)*-8. Let x(s) = w*s**2 - 168 + 168. Calculate n(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -438 - -434. Let o be 6*(-12)\/(-18)*3\/s. Let c(d) = d**3 + 3*d**2 + d + 2. Give c(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, 1\/11, 4, 242?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/4)*p\/p**5)**(-45) assuming p is positive.\nAnswer: p**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 4.1. Let h = g + 0.5. Let t = h - -2. What is the second smallest value in 2, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3*g**5\/40 - 71*g**4\/8 + 368*g**3 - 5376*g**2 - 47*g. Factor b(u).\nAnswer: 3*(u - 32)**2*(u - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23437?\nAnswer: 23, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-12))\/(-1))\/((-6)\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13569, -13545, -13491, -13401, -13269, -13089, -12855?\n\"Answer: i**3 + 9*i**2 - 10*i - 13569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 815 or 826?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 5 = 5*b. Suppose 4*v = -50*v + 162. Suppose v*t - 446 = b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z + 25*z - 4*z - 5*z in the form j + l*z and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*g = -5*h + 1, -h + 3*g = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2791782124 to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 162*c + 412. What is m(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 716*r + 13. Let j(w) = -688*w - 16. Give 4*j(y) + 5*o(y).\nAnswer: 828*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/42*-7*1\/(-6)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**3 + 3*d**2 - 4*d + 6. Let w(z) = -9*z**3 + 3*z**2 - 5*z + 7. Calculate 5*v(k) - 4*w(k).\nAnswer: -9*k**3 + 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 7*f**4 - 2*f**3 - 84*f**2 + 136*f - 32 = 0.\nAnswer: -4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -418 (c) -270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i - 2*i**2 + (12*i - 2*i + i - 3*i + 3*i + 6*i + (-1 + i + 1)*(-5 + 3 + 0) - i + 2*i - 3*i)*(i - 7*i + 3*i).\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(162) + 2)**2 - (4*2*sqrt(98))**2.\nAnswer: -6101 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 20. Let j be x - (-4 - -1) - -1. Let y = 614 + -614. What is the nearest to y in j, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 26*l**4\/5 - 1761*l**3\/5 - 502*l**2\/5 + 1761*l\/5 + 476\/5 = 0?\nAnswer: -1, -7\/26, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*5*1*1920\/(-22400)*-4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 5. Let q be l(-6). Let j = -742775\/3 + 247592. What is the closest to q in 0.1, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 8 = -20*z + 2*t, -20 = -5*z + 5*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/70 and -12\/539.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0 + 0 + 2 - 2*c + 4*c. Is 9 a factor of u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -574 divided by 3?\nAnswer: -574\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.146149 rounded to two decimal places?\nAnswer: 14.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 18*b**2 - 26*b + 71. Let f be d(-5). Sort f, -3, -2, -1, 9 in descending order.\nAnswer: 9, f, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 702, 6, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -650*d**2 - 4*d - 4. Suppose 2*q - q = -3. Let c be l(q). Let z = 46805\/8 + c. Calculate the common denominator of z and -67\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -247116 - -1100?\nAnswer: -246016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - (3 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2 + 3 = 0. Let y = 115 + -56. Let t = 411\/7 - y. What is the closest to 0 in r, t, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 5, 2710, -3 in ascending order.\nAnswer: -63, -3, 5, 2710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3429*v**2 + 1130*v**2 + 1145*v**2 + 1154*v**2 + 14*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2420 + 1076 - 4*u**2 - 8*u**2.\nAnswer: -12*u**2 + 3496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 5 = 6*p. Suppose 9 = v - r - r, 15 = p*v + 5*r. Suppose t - 4*t - 5 = 5*n, t + v = -5*n. Solve 0 = -t*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10574 = -7629*s - 1159*s - 147610 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**5 + 631*s - 65*s**3 + 249*s - 152*s - 78*s**3 + 94*s**3 wrt s?\nAnswer: -80*s**3 - 294*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*u + 19. Let z(s) = s**3 - 3*s + 1. Let i be 4\/2 - 0\/5. Let n be z(i). Solve -j + 10 = 3*a, -n*a - 2*a = -u*j + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*-1*5 - sqrt(25))\/(sqrt(80)\/sqrt(4)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011111 (base 2) in base 14?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/3 + 0)\/(-3). What is the second biggest value in q, -4, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -201612774.\nAnswer: -201612774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 2\/3, 3, 0.427, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934678445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c + 9. Let h be b(3). Let x(f) = -f**3 + 4*f**2 + f - 6. Let v be x(h). Suppose -v*n + 96 - 12 = 0. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) - sqrt(3)*2) - (sqrt(112) + 0)) + 1*((sqrt(448) + sqrt(448)*-2)**2 - sqrt(448)) + -2.\nAnswer: -13*sqrt(7) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l = 79*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((24 - 12) + -12 - -1) + 0 + -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12794901 and 20106273.\nAnswer: 140743911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28850 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: Does 6 divide 11856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13602, -26140, -38678?\nAnswer: -51216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64354 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:20 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180705 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012 + 20201?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 35 = -4*i + 3*i, 3*i = 4*b + 29. What is the remainder when 72 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/705 - -14497\/1410. Let b = -29369\/84 - -2385\/7. Find the common denominator of b and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*x**5 - 4209*x**4 - 340239*x**3 - 4691409*x**2 + 6316431*x - 1280562 = 0. Calculate x.\nAnswer: -239, -94, -19, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43218, -86436, -129654, -172872?\n\"Answer: -43218*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 845?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/4 + -4. Which is the nearest to 0.2? (a) 3\/4 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*f**3 + 142*f**3 - 24*f + 20*f**2 + 140*f**3 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29452, 29463, 29474?\n\"Answer: 11*f + 29441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -24. Let s = -58 - i. Let b be (-2)\/10*s - (-63)\/(-35). Which is smaller: -7 or b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 - 29*d**2. Let q(t) = 4*t**3 - 29*t**2 + t. Calculate 3*i(u) - 2*q(u).\nAnswer: u**3 - 29*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207*i + 194*i + 6576 = -4567 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.464 - 0.234. Let j = n + -0.23. Which is the third biggest value? (a) j (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)*w\/(w**2*w)*w)**(-2\/29)\/((w\/(w\/(w\/(w\/(w\/w**(-1\/3))))))**23\/(w*w*w**(2\/5)*w*w*w**(-6)*w*w*w)) assuming w is positive.\nAnswer: w**(-12461\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 54*x**2 - 589*x - 156. Let k be d(-39). Solve f + 5*z + 17 = k, 0 = 5*f - 7*f + z + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 32 = 0. Let j = 24 - q. Calculate the least common multiple of 3 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Suppose -v - u*b - 22 = 3*b, -v + 13 = -2*b. Let 8*y**2 - v*y**3 - 4*y**2 - 3*y**4 - 6*y**4 + 2*y**2 = 0. Calculate y.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120000000 (base 3) to base 5\nAnswer: -322220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142995689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*t = -4808151 - 4311906. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35439509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17285\/2748 + 29\/229. What is the common denominator of 228\/(-128)*6\/(-9) and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47267\/15366 - -1\/1182. Find the common denominator of -9\/130 and q.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.853247*-20\nAnswer: 17.06494","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 7*z. Let a = -0.0304 + 0.3304. What is the second smallest value in z, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 4*r + r. Let h(x) = 6*x + 3. Let g(c) = -11*c - 5. Let o be (-9)\/6*(-20)\/6. Let a(s) = o*h(s) + 3*g(s). Determine n(a(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 92 = -3*a, 0 = 5*a + 2*d - 70 + 202. Let w be 2\/(-8) - 91\/4. Let n = w - a. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/14 - (-1)\/7. Is (-2)\/p + (-1620)\/(-40) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/10*62\/8 and 12\/(-30) - 34\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112222 (base 3) in base 13?\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101002111 + 10?\nAnswer: -1101002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -267*w**2 - 9338*w + 258. What is t(-35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/70 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410404 and 733858.\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3237, -3281, -3361, -3483, -3653?\n\"Answer: -i**3 - 12*i**2 - i - 3223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*d - 23 = -463, -3*d + 552 = 5*u. Let s = u - 102. Suppose -s*g + 7*g = 58. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 + 2*i**2 - 3*i + 0*i**2. Let k(n) = 7*n**2 - 4*n. Let p(h) = -3*k(h) + 4*y(h). Let f(o) = -2*o - 73 - 20 + 93. Calculate p(f(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6374 and 23\/20.\nAnswer: 63740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1968 - 4.\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5050 - -5046.6862. Round o to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*17.6\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*k = 0, 16*y + 5*k = 13*y - 8. Calculate the remainder when y\/2 - (-6 - 19) - -4 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-164236)\/(-17288))\/(19\/(-214))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g - 35. What are the prime factors of w(-17)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1621.01287 and 3.\nAnswer: 4863.03861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**3 - 3*c**3)*(2 - 2 + 5*c).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))**(8\/9))**(1\/20)\/((f*f\/(f\/f**5*f)*f*f*f*f\/(f\/((f\/(f\/(f**(-2\/7)*f)))\/f))*f)\/(f**(-3\/4)*f\/f**2)) assuming f is positive.\nAnswer: f**(-13241\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/21625 and -6\/151375.\nAnswer: 151375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42314243 (base 7) in base 13?\nAnswer: -9862b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4 - 1 + m**3 - 13*m**2 - 3*m**3 - 15*m - 6. Is r(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 1, q: 4, h: 3, r: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.54 and -0.14.\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27944 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219*p**3*q + p**3 - 998*p**2*q + 397*p*q - 6*p - 374*q wrt p?\nAnswer: -1314*p*q + 6*p - 1996*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2872*d - 2818*d - 702 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14424*w**2 - 2185*w - 1?\nAnswer: -28848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 166.375?\nAnswer: 166.375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*z - 4*z + 9 = 0, -2*z + 14 = 3*d. Suppose -1 = -d*k - 13. Let i(m) = -2*m - 19. Let v be i(-11). Sort k, -4, v in descending order.\nAnswer: v, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/6)\/j*j*j*j*j*j**(-2)*j*j**(-1)*j**(-5))**26 assuming j is positive.\nAnswer: j**(-247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232231 is divided by 77400.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 320121335, 320121339, 320121345, 320121353, 320121363?\n\"Answer: t**2 + t + 320121333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/24*((-33)\/176)\/((-3)\/84).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -0*m. Suppose -j - 4*j = 5*l - 345, m*j - 3*l = 138. Calculate the remainder when j is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 + -4.65. Let k = -1 - f. Which is the third smallest value? (a) -1\/4 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -185707.8306 and -2.6.\nAnswer: -185710.4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + 1. Suppose -6*v = -172 - 368. Calculate the greatest common divisor of v and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*j + 4673 = 0, -5*r - 5815 = -j + 6*j. What is the tens digit of (-379904)\/r + 0 + 4\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -1 (c) 1\/4 (d) -35 (e) -692 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1027*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - 13556.9.\nAnswer: -13574.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 51*c**2 + 20*c - 3. What are the prime factors of p(12)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7299, 700, -5, 1, 4 in decreasing order.\nAnswer: 700, 4, 1, -5, -7299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45574 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, -2.\nAnswer: -14, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099287?\nAnswer: 2099287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*k + 7318 = 3*s, -4*s = k - 14615. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8 - 4. Suppose r*p - 75 = p. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 44*k - 341. Calculate t(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 591.\nAnswer: 591.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6324412187 minus 383?\nAnswer: -382.3675587813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1164654 and -37\/170118.\nAnswer: 15140502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6*i + 30. Let w = 0.5 - 0.1. Let z = 0.352 - 0.552. Which is the closest to -1\/2? (a) i (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7 - 26) + (298 - 277) + 21 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24959, 24990, 25041, 25112?\nAnswer: 25203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 0. Suppose 4*w = -9 + 17. Let y = -3 - -5. Solve o = -w*u + 6 - y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*(4 + (sqrt(1573) + (sqrt(1573) + 1)*-2 - sqrt(1573)) - -1*(sqrt(1573) - ((sqrt(1573) + -1)*-6 - sqrt(1573)))))**2*-2)*-5.\nAnswer: -190080*sqrt(13) + 20391815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -266, -259, -238, -197, -130?\n\"Answer: a**3 + a**2 - 3*a - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1494 and 2097078.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49990 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -2 (c) 20 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 + -0.4. Let x = a - -5. Let r be -8 - 518\/(-84) - (-7)\/4. Put x, 0.4, r in descending order.\nAnswer: x, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, a: 1, o: 1, s: 1}. What is prob of sequence ys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 283966561 to the nearest 10000.\nAnswer: 283970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625688506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Let l = 4.3 - v. Let n be -23 + 20 + 46\/14. Which is the smallest value? (a) -0.5 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/24 - 7*g**3\/6 - 2*g**2. Let w be a(-9). What is the third derivative of -x**2 - x**w + 3*x**2 - x**5 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 107305775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 256*j**2 - 260*j = 0. Calculate j.\nAnswer: -65, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5490 divided by -6\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 168*z - 2863. Calculate r(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 5, 1132, -31, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2*b**2 - 2*b**2)*(81 + 3*b + 230 - 5*b)*(3 - 3 - 1).\nAnswer: 4*b**3 - 622*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/42)\/r**(1\/5)*(r*r*r*(r**(-2\/3)\/r)\/r)**(1\/13) assuming r is positive.\nAnswer: r**(-137\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-738)\/117 + 52\/169.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let a = 2.8 - 3. What is the nearest to t in a, -4, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(168\/18)*24\/81?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 104472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-91 + 134)*(15\/(-36))\/5 and 53\/1188.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - 1 = 0. Let p = -19 + 17.8. Let j = 1.3 + p. Which is the biggest value? (a) -2\/13 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2141 + 140?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -4, 28.\nAnswer: -4, 1, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 25067481 = 5*b. Suppose -b + 1267481 = 10*c. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335728 (base 9) to base 5\nAnswer: 22413233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Let a = 5.2 - m. Let d be (3 - 1)\/(-3 + -7). Is a != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/11)*z*z*(z**(-19)\/z)\/z)\/(z\/z**11*(z*z**(-18))\/z*z*z) assuming z is positive.\nAnswer: z**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -99026240 take away -26570?\nAnswer: -98999670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91394, -91439, -91530, -91691, -91946?\n\"Answer: -4*x**3 + x**2 - 20*x - 91371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 + 4*u**3\/3 + u + 13. Let f = -2 + -1. Let x be l(f). Solve x = -5*q - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.65 + 0.35. Which is the biggest value? (a) 0.5 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.32 - -0.32. Which is bigger: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 14.836\nAnswer: -1.4836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 3 - 10 + 2*k**2. Suppose -3*i = -5*q - 2 - 4, -5*i + 3*q = -26. Let s(n) = 78*n**2 - 3 - 76*n**2 - 1. What is i*s(o) - 4*b(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 208, 113, 18?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 253619120 to the nearest 1000000.\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (264\/(-10))\/(99*(-748)\/3960 + 19)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -5*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 46. Suppose -4*w + 1054 = y - 3*w, -q*y - 2*w = -4206. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/4, -7, 1\/42, -1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2, 4*r + 54 = -2*b - 0*b. Let m = 56 - r. Suppose 52*f - 432 = 40*f. Calculate the remainder when m is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/20 + x**4\/4 + 7*x**3\/6 + 10*x**2. Let v(w) = -2*w**2 - 5*w - 6. Determine 4*a(y) + 5*v(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f. Let y(k) = 23*k**2 - k. Determine y(w(z)).\nAnswer: 828*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 391, 3, -4.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4049 - 1001. List the prime factors of n.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v - 99. Let m = 56 - v. What is the remainder when m is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*-4 + sqrt(931))*6)**2.\nAnswer: 301644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/3)*(b**(5\/3)*b)\/b*(b*b**(1\/4))\/(b\/b**(-2\/13)) assuming b is positive.\nAnswer: b**(5\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/11 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + 3 + (5 - 2) + -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 8721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3882, -8517, -13152, -17787?\nAnswer: -22422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 54*u**2 - 165*u + 437. Calculate j(18).\nAnswer: -2533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570870 = 15*k - 1674435. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 20, -7, -56, -133?\n\"Answer: -l**3 - 2*l**2 + 2*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10154916 divided by 6?\nAnswer: 1692486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38876347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179302 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 10) to base 16\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krrbhrkhkhhrhh. What is prob of sequence rhhh?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -13 - 7) + -2 + -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36175\/2 - 19285. Let z = d + 1159. Calculate the common denominator of z and -22\/65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 22. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49412733913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 17*x - 59. What is the remainder when n(-8) is divided by (-2)\/(-7) - 267\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 11*x - 13. What is p(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 25*g + 18. Let x be l(12). Let z = -11 + 17. Suppose z*d - 2*d - 30 = -2*c, -5*c + 20 = -d. Solve -3*f + x = -d*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64838 minus -221?\nAnswer: -64617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 457509614 less than or equal to 457509614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 7*r - 520. Suppose -13*q + 0*q = -r. What is the remainder when 22 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = -240. Suppose -8*g + 4*g = -s. Let b be (g\/9)\/((-1)\/(-12)). What is the highest common factor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-51) - ((-7)\/3 + 2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 11*i**2 + 7*i**2 + 3*i**2 - 31.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 195*i**2 - 2. Let s(y) be the first derivative of -7*y**2\/2 + 2393. Determine h(s(z)).\nAnswer: 9555*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-1*2\/4. Suppose 3*l + f = -2. Is l greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -22*d**2 + 47. Let s(n) = 170*n + 173*n - 342*n. Give c(s(k)).\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2571 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = t + 3*z, z - 12 = -5*t. Let f be 3*(14\/(-4) + t). Let s = 7\/6 + f. Is s >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 - c - 1. Let p(s) = -10 + 7*s**3 + 4*s - 5*s**3 + 6*s**3 - 2*s**2. Let k(f) = 6*j(f) - p(f). Let k(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0)**48*(g**(-2\/7)*g)\/g**(1\/4)*(g\/g**(-3\/2)*g*g**(-2\/13)\/g)\/(g**(1\/4)*g\/(g\/(g**(-1\/3)\/g))*g) assuming g is positive.\nAnswer: g**(13894\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687646 is divided by 754.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101540163 is divided by 12525?\nAnswer: 12513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 45 = -18*j. Calculate the remainder when 42 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5597631 or 5597633?\nAnswer: 5597633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -3 (c) 2 (d) -0.02 (e) 6 (f) -7 (g) 2\/89\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*n - 5, -q + 4*n + 20 = 3*q. Let s = 7 - 5. What is the units digit of (3 - q) + s*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = -23*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(1539) - sqrt(152)\/(1*sqrt(8))).\nAnswer: -19*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-70)*10\/2. Let m be 13\/(65\/(-30))*3\/(-6). What is the nearest to t in 0, m, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 0.26. Which is the closest to -1? (a) 1 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987088 divided by -20552?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 19. What is the lowest common multiple of 18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f - f + 6 + 0*f - 9 + 10*f. Let x(g) = 1. Let b(i) = -5*i + 11. Let s(j) = -b(j) + 3*x(j). Give -4*s(r) + 11*z(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3 or -8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 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: Let k(y) = 29*y - 53. Let t(l) = 72*l - 132. Let p(u) = -12*k(u) + 5*t(u). What is the smallest common multiple of p(8) and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -2.6. Let u = q + -4. Let g be (4\/(-8))\/((-3)\/2). What is the smallest value in u, g, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2\/43, -6, -10\/9?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 4272*x**3 - 12844*x**2 - 8568*x = 0 for x.\nAnswer: -2, -1, 0, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 123. List the prime factors of z(29).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 103*h - 107*h + 10 = 0, -h = -t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/855*15*-19?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3099*y + 153 - 44 - 109 - 4852*y**2 wrt y?\nAnswer: -9704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*w - 21853, 4*h - 4*w = 7*h - 21845. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 65. What is the highest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 = 8. Let z = -4 + r. Suppose -2*w = -z*w - 6, 3*v - 2*w - 12 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178189 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564172.\nAnswer: 2, 19, 23, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**1*h)\/h))**(11\/3)\/(h\/(h*h**(2\/3)*h)*h**7) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 9392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/863015 or -1?\nAnswer: 18\/863015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -26, -113028 in decreasing order.\nAnswer: -26, -41, -113028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1475*-2\nAnswer: 2950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 7328093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuud when four letters picked without replacement from uhuhmuuhhuhhhhdduuhh?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -12. Suppose d*x + 18600 = 20*x. What is x rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7255*v**6 + 4*v**4 - v**3 + 56*v**2 - 204?\nAnswer: -870600*v**3 + 96*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = -7*t. Suppose 4*o - 15 = t*o. What is the highest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 5*z**2 + 4*z - 10. Let w be m(5). Let p(c) = -2*c**2 + 22*c - 10. Calculate the remainder when 3 + -2 + -3 - -41 is divided by p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 12) in base 2?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:49 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1122 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-40) + (-43)\/(-5) + -1. Suppose 12*f + 8 = q. Solve i = 4*p - 7, p + 2*p + i = f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-3))\/((-13)\/13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let t be 11\/3 - 2\/(-6). Let q(m) = -t*m**2 + 4*m**2 + 2*m**2 + 0*m**2. Give p(q(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132402793, 132402796, 132402799, 132402802, 132402805, 132402808?\nAnswer: 132402811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 126 + 16. Find the common denominator of (-2)\/(-33)*402\/(-8) and (6\/10)\/(4\/g) - 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**2*k**3*z - 2633*f**2*k**3 - 3*f**2*k**2*z + 3743*f**2*k**2 + k*z wrt k.\nAnswer: -24*f**2*z - 15798*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:53 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t - 2. Suppose 4*x - 6 = 2. Let o(c) = 51*c - 11. Let f(y) = x*o(y) - 11*i(y). Let u(k) = -4*k**2 + 4*k**2 - k**2. Determine f(u(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110100111 (base 2) to base 14.\nAnswer: 4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -52*n**2 + 19*n - 95. Let x(l) = 11*l**2 - 4*l + 20. Let m(c) = -4*b(c) - 19*x(c). Give m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 18.05. Let w = -136 + 58. Let l = w - -83. Which is the second biggest value? (a) -4 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 1. Let g(c) = 2*c + 2*c + 3 - 4 - 5*c - 2*c**2. Determine g(s) + v(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 4*t - 12*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 436171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 302 = 322 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -3643*f**5\/20 - 41*f**3\/2 + 8*f + 17. What is the second derivative of q(u) wrt u?\nAnswer: -21858*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 12*z**2 + 20*z + 242. Let t be u(-12). What is the greatest common divisor of 857 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 2. Suppose -2*m - 4 = 0, -4 = 3*g + 4*m + 28. Let w = g + 1. Let d be 10\/4 - w\/(-14). Give b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73245100 rounded to the nearest one hundred thousand?\nAnswer: 73200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/3)*x))**27\/(((x*x**(-2\/5)*x*x)\/x)\/(x*x**(2\/25)*x*x*x)))**37 assuming x is positive.\nAnswer: x**(-14356\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -584263.45 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/51 - 5\/34. Let c(f) be the third derivative of 3*f**2 - k*f**4 + 0*f + 0*f**3 - 1\/40*f**6 + 0 + 0*f**5. Find the second derivative of c(g) wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -37*p + 14. Let h be t(-3). Suppose -l = -h + 30. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:59 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + i)*(3*i - 1 + 1) + (7*i**2 + 110 - 110)*(0 + 1 - 2).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49b925 - -5?\nAnswer: -49b920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2047, 6143, 19783, 38873, 63413, 93403?\n\"Answer: 2725*h**2 + 15*h - 4787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0175878994 rounded to four dps?\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297407363*r**6 + 3*r**4*v**2 + 143*r**2*v**2 + 1069955*r**2*v wrt r.\nAnswer: -35688883560*r**3 + 72*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 88928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/91 + (-33)\/(-7). Solve d - 10 + n = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129240\/(-7539)*(-3)\/(-6).\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k, -137613 = -p + 2*k - 39416. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 20 = 0, -7 = -3*t - 2*u + 3*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 4:21 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5706 is divided by 1303.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 11*h**2 - 3. Let y(a) = 10*a**3 - 55*a**2 - 16. What is 11*l(g) - 2*y(g)?\nAnswer: 2*g**3 - 11*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 516705452.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -44. Find the common denominator of 19\/(-64) + (q\/8 - 1) and 19\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 - 1 = 0. Which is the second biggest value? (a) 0.2 (b) 1\/3 (c) u (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emme when four letters picked without replacement from eeemmmekfmf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*x - 30 = 0, 0 = -3*l - x + 6*x + 24. Let w(n) = 2 - 45 - 39 - 13*n + 21. Let h be w(-5). Solve l*o = -o + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*o + 41*o - 2*o + 0*o + 29*o + 4*o.\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -2333?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*s**4*w**2 + s**2*w**2 - 40*s**2 - 2*s wrt s?\nAnswer: -1200*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**2\/2 - 687. Let n(p) = -25*p - 1. What is 2*n(d) - 18*v(d)?\nAnswer: -32*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*t = 19, 0*g + 3*t = 3*g + 18. Let k = 8 + -11. What is the third biggest value in -0.4, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 34. List the prime factors of p(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011a18 (base 11) in base 4?\nAnswer: -12310231122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 - 40\/60. Let l be 2908\/36 - (-1)\/(-9)*v. Suppose -5*h + 399 = k, l + 0 = h - k. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 159*r + 661. Give b(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 22420.3m?\nAnswer: 2242030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264625209 to the nearest integer?\nAnswer: 16267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(-2\/109)\/(l*l*l\/(l*(l\/l**(-14))\/l)*l*l*l**14*l) assuming l is positive.\nAnswer: l**(-3819\/763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d**3 + 82*d + 32 - 10*d**3 + 23*d**2 - 16. Let o be p(26). Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2940847, -2940836, -2940805, -2940742, -2940635, -2940472?\nAnswer: -2940241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -29 - (23 - (-13 - -35))) + -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-102)\/72624*112).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuc when four letters picked without replacement from {c: 6, g: 4, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -8, 35 in decreasing order.\nAnswer: 35, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.4 - 14. Let p = x - 7.4. Which is the closest to -2\/7? (a) p (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 20 + 4 = 0. Let v be (-127 + -1 + x - 1) + 4. Let j = v + 137. What is the remainder when 58 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-12) - (-84777)\/(-36). Let h = 2372 + b. Find the common denominator of -17\/9 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(605) + 5 + 2)**2 + 5)*-3 + 5 + 2.\nAnswer: -7416 + 924*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10985 + 10988. Let 0 - 2\/9*v**2 - 1\/9*v**s + 0*v + 1\/9*v**4 = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 32132837.\nAnswer: 481992555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47823 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11972733 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: Suppose 9*r = 2*r + 112. Suppose -7*s + r = 2. Solve 0*f - 15 = s*f + 5*v, -4*f - 2*v = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1931 - -3096. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 103541*p**2 - 2672974080*p - 373546598400.\nAnswer: -(p - 51840)**2*(p + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2401 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*j - 119*j + 5 = 0, -3*y + 744701 = 8*j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*((-4)\/(-60)*10)\/((-390)\/(-234)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -106, -178, -266, -364, -466?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 700039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3883 <= -3884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995009175*-0.5.\nAnswer: -497504587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5632.704l?\nAnswer: 5632704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - 10 - -3 - (611 + -648)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -37, -67, -89, -91, -61?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15.589, -0.5, 7, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25447 - 25442. Solve -n + b = 0, -5*n = -7*x + 4*x - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ati when three letters picked without replacement from sawsiiticsstsas?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 13) in base 5?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (9 - (-8 - 29)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 342513 - 216314. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 1\/120*j**6 + 0 + 15*j**2 + 1\/15*j**5 + 0*j - 1\/24*j**4 - 5\/6*j**3. Give w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/12 - p**3 + 20*p**2 - 18*p + 2. What is y in v(y) = 0?\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345073 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*z = 104, -7*d + 2*d = -5*z - 60. Let a = d + -14. Solve j = a*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6756, 6755, 6752, 6747, 6740, 6731, 6720?\n\"Answer: -w**2 + 2*w + 6755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.392285 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c**2 + 15*c. Let d(t) = -t**2 - t. Let g(a) = 4*d(a) + x(a). Find the second derivative of g(f) wrt f.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -109*o**3 + 2*o**2 - 3. Let f be z(2). Let t = -612 - f. What are the prime factors of t?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 7*m + 11. Let f(u) = 2*u**2 + 3*u + 6. Let t(v) = 5*f(v) - 3*n(v). Let b be t(7). Suppose -3 - 1 = -b*h. Solve h - 4 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438970.32 rounded to the nearest one thousand?\nAnswer: 439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:21 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, -3, -44.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + (3 - -76) + (-151 - -1) + -2?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*d - 14, 5332475*p - 5332471*p - 4 = 2*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -198 (b) 1\/11 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 112, 129, 158, 199, 252?\n\"Answer: 6*w**2 - w + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1576.7 - 1500. Let f = o - 77. Which is the biggest value? (a) f (b) -0.4 (c) 0.1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 6. Let b(l) = -3*l + 18*l - 17 - 4*l. Suppose -2*x + 4 + 8 = 0. Let p(a) = x*b(a) + 17*y(a). Let z(i) = 5*i. Calculate z(p(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2509848 and 77\/276995952?\nAnswer: 3046955472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-1)\/4*2). Factor -6 + 4 - 3*j - w + 9*j**2.\nAnswer: 3*(j - 1)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*v - 792*v + 1081 = -1579*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 0)*(2 + 2 - 3) + (136 - 282 + 137)*(2 - 3 + 3))*(-1 + 0 + 2)*(4*o + 6 - 6).\nAnswer: -64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 3*d)*(-125 - 6*d + 125).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}