diff --git "a/data/dm_maths/full_data/1769_11255.jsonl" "b/data/dm_maths/full_data/1769_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1769_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of 370*j**5 + 154*j**2 + 1.\nAnswer: 22200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345196651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0365, 0, -2 in descending order.\nAnswer: 0.0365, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9\/23, 0.1, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63701013.09382 take away -0.3?\nAnswer: -63701012.79382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*k**4*s**3 - 30*k**3*s**2 + 2*k**2*s - 1378*k*s**3 wrt k?\nAnswer: -4176*k*s**3 - 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 24066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(320)*-1 + 2 + 0 + -2*sqrt(320))**2 + (-2*(sqrt(875) - (1*sqrt(875) + sqrt(875)))\/sqrt(7))**2 + -2.\nAnswer: -96*sqrt(5) + 3387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 + 9.6. Which is the second biggest value? (a) t (b) -26 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -15. Suppose -g*x - x = 0. Is -2 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 152\/(-44)*-1 - 4 and 7\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1602 - -555. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*s**6)*s\/(s*s\/(s\/(s*(s\/(s\/((s\/(s**(2\/57)\/s))\/s*s))*s*s)\/s*s)))*s)\/((s*s*s*(s*s**(-4\/9))\/s)\/(s\/((s\/((s\/s**0)\/s))\/s)*s)) assuming s is positive.\nAnswer: s**(-1799\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 14 + (7 - 19) + (-5 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -75, 3, -5, -6, 1.5 in decreasing order.\nAnswer: 3, 1.5, -4, -5, -6, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 + 3734614*b + 3486835432249 = 0. Calculate b.\nAnswer: -1867307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 804 + 420. Find the common denominator of (-4)\/33*45\/(-8) and 2\/(-3)*(-14)\/(1344\/y).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:35 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13882411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + 0) - 65\/30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5101 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 11, 2, -2\/25, -0.91?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (-13 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33757908 divided by -1?\nAnswer: -33757908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -281890 and 161.\nAnswer: -45384290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -358\/3551?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7501759 is divided by 1444?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 71258933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2246018748 to the nearest one million.\nAnswer: 2246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -54 (b) 0.05 (c) 5\/2 (d) 1\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - 8*f. Let j = -16 + 8. Let n be l(j). Suppose n = -2*u, -4*w - 120 = -8*w - 5*u. Solve -k - 5*x = -w, -4*x - x + 5 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.0578 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06016 - 2.93984. What is the nearest to -1 in 0, t, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*45\/126*7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from {d: 1, p: 1, w: 2, q: 2, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2554397 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c = 232. Let r = 20 + c. Calculate the remainder when r is divided by (-162)\/(-8) - 1\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7431 divided by -3\nAnswer: -2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = m - 50. What is the remainder when m is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 24 = -4*b, 2*b + 2*d = -8 + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(686) + (sqrt(686)*-2 - sqrt(686)) - sqrt(686))\/(-1*sqrt(1008)))**2*-1.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3. Let d(a) be the first derivative of -3*a**2\/2 + 13*a + 5. Calculate -2*d(h) - 9*n(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -598, -746, -860, -928, -938, -878, -736?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 4*a + a - 2*a**2 in the form g + u*a + o*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90002.\nAnswer: 2, 11, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2728 + 2701. Is -79\/3 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 - 37 = -5*c. Let l(n) = n**3 - 4*n**2 + 2*n - 6. Let u be l(4). List the prime factors of ((-6)\/9)\/(u\/c).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4356 + 12820 = 395*s - 4052 - 6049 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**2 - 181 - 2\/3*j**3 + 3\/2*j**4 - j. Let u(b) = -6*b**3 + 3*b**2 + 1. Give 3*q(c) + 2*u(c).\nAnswer: 6*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Let w(f) be the first derivative of -165 + 548*f - 775*f + 33*f**2 + 5*f**2 + 7*f**2. Differentiate w(s) with respect to s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, w: 2}. What is prob of picking 1 n and 1 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Let b = 0.7 - 0.4. Let v = -1 - -0.5. What is the closest to 0.1 in x, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633878515 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.066 - 31.934. Let u = x + 30. What is the third smallest value in 2, -0.3, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 7085163*r - 7085166.\nAnswer: 3*(r - 2361722)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74, -180, -312, -470, -654, -864?\n\"Answer: -13*j**2 - 67*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -3*g - 54. Suppose 55*o + 90 = 31*o + 30*o. Solve -6*i + o = -g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -c + 8, -5*s + 2*c + 36 = -2*c. Suppose -4*f = 3*w + s - 39, 1 = -f - 4*w. Solve f + 4 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(128) - (1 + sqrt(128)*3)))**2 + (sqrt(96)\/sqrt(8))\/sqrt(6) + sqrt(72)\/sqrt(4).\nAnswer: 100*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 12) to base 2.\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -64*d + 61*d + 22696, d - 2*i = 7547. List the prime factors of d.\nAnswer: 3, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -930 - -7443\/8. What is the nearest to 1 in -8, f, 1\/8, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2 - 1095739*q + 112 + 1096102*q - 2*q**2 wrt q.\nAnswer: -2*q + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 26*c - 6. Let f(l) = 5*l - 1. Let y(i) = -i**2 - 10*i + 19. Let h be y(-13). Let n = 22 + h. Give n*b(z) - 11*f(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -438 (base 14) to base 7\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2 = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-36)\/24)\/((-15)\/(-24) - 1) and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*s, 0 = 3*u + 2*s - s - 22. Let o be u - (-1*4 - -3). Solve -2*j = -o*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 3, p: 6, q: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 32. Determine n(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 16*i**2 - 14*i - 38. Let l be c(17). Suppose l*f = 5299 + 1734. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**5\/5 - 3*g**4 - 18*g**3 - 54*g**2 - 81*g + 18. What is r in q(r) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 60891*q - 731124.\nAnswer: 3*(q - 12)*(q + 20309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21810995 to the power of 1\/2, to the nearest integer?\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22648 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 15 - (-63 - (-66 + -14)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/22)\/((-72)\/(-96)). Let p = 92 - 96. Which is the fourth smallest value? (a) 0.6 (b) 0.1 (c) n (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19271, 76687, 172391, 306383, 478663, 689231?\nAnswer: 938087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)*-1)\/(sqrt(20)\/sqrt(32)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5\/10 + 226*z**4\/5 - 3303*z**3\/10 + 1001*z**2\/5 = 0. What is z?\nAnswer: 0, 2\/3, 7, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 2428 - 8 = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 700 + -439. Let i = -1823\/7 + k. Factor -2\/7*n**2 + 4\/7*n - i*n**3 + 2\/7*n**4 + 0.\nAnswer: 2*n*(n - 2)*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1693 - 1988. Are d and -295 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5)*5\/(-38). Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10)*4)*-1.\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/3 + t. Let z(j) = -j - 4*j + 3*j. Determine y(z(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3355 + 107?\nAnswer: -3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100346564 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 91*f + 21.\nAnswer: -91*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 + 2*b - 8. Let y be r(6). Let s(w) = -1 - 26*w - 19*w + 46*w. Determine s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-10) - (19 - 16). Let c = -0.4 + -0.8. Put h, -0.07, c in decreasing order.\nAnswer: h, -0.07, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 717, 706, 695?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 12.36 (c) -0.5 (d) 3 (e) -1\/5 (f) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 18*i**2 - 18*i - 13. Let o be 124\/(-8) + -2 - 3\/(-6). Let n be v(o). What is the third derivative of -3*r**2 + r - r + 9*r**n + 4*r**2 wrt r?\nAnswer: 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 - 4*u + 48. Is 16 a factor of f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 21*m - 59. Calculate h(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-26)\/7 + 549\/63?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.441 + -0.059. Let d = j - -0.8. Let s be 2\/(-4) - 7\/(-10). Put -1, s, d, -0.1 in increasing order.\nAnswer: -1, -0.1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15935, 15909, 15883, 15857, 15831?\n\"Answer: -26*a + 15961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4661991 and 10359980.\nAnswer: 93239820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 150165.6s?\nAnswer: 150165600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 17*p**3\/6 - 7*p**2\/2 + 35*p + 3. What is the smallest common multiple of 60 and t(2)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 571*r**2 + 5 + 2.\nAnswer: -571*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)\/(10\/(-30)). Suppose 0 = 3*a - 2*a - 4*g - 17, 0 = -c*a + 3*g + 15. Solve a = 5*n + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 1\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28267 is divided by 14114.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -13*q**4\/12 + 8*q. Let p(s) = -2*s**2. Calculate p(i(x)).\nAnswer: -338*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-60))\/(((-8)\/3)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 74.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-339)\/(60003\/118))\/((-10)\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times 0.3\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5.3. Let w = 1 + -0.9. Which is the closest to w? (a) 1 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 34. Let x(d) = -d**3 - 7*d**2 - 6*d + 18. Does 10 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(108))**2*5 + ((3 + (sqrt(108) - (sqrt(108) + -2 + sqrt(108))))**2 - sqrt(108)).\nAnswer: -66*sqrt(3) + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**5 + 15*u**5 - 2*u**5)*(217 + 240 - 75) + 2*u**5 - 5*u**5 + 5*u**5.\nAnswer: 3822*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-19522)\/215 - -89)\/(-9)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*i - 15*i + 115150. Do 2303 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**3\/5 + 5731*t**2\/5 - 377369*t\/5 - 63054\/5 = 0.\nAnswer: -1017, -1\/6, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798146582.\nAnswer: 2, 131, 307, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/2, 3, -65\/543.\nAnswer: -3\/2, -65\/543, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 296. Let d be o(29). Let p(q) = -280*q**3 + 5*q + 279*q**3 - 2 + 4*q**2 + 4 + q. Let u(l) = l**2 + l. Calculate d*u(t) - p(t).\nAnswer: t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 + 3 - -1)\/(2\/75). Let z = x - -445. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 17. Put -5, s, 0 in ascending order.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(s - s + s**3) + (103*s**2 - 1688*s + 1688*s)*(17*s + 0*s - 3*s) as b*s**3 + a*s + k + j*s**2 and give b.\nAnswer: 1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1398248 times 4?\nAnswer: -5592992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-5 - 3\/(-3026)*5044)?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + (sqrt(153) - sqrt(17)) + 4 + 3 + -4*sqrt(1088)*2)**2)*5.\nAnswer: -5580*sqrt(17) + 327150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75656)\/2392621)\/((-8)\/(-22)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 103. Suppose 4*b = -z*t + 19*t - 3852, 4*t - 3*b - 7704 = 0. List the prime factors of t.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104.2 + 104. Let v = -7.87 + 8.5. Let z = -0.6 + v. What is the smallest value in 1\/5, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 189, -27, -5, -0.14, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(4)\/(-4*sqrt(2))) + ((sqrt(144)*-3)\/sqrt(9))\/sqrt(8).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*d**2 + 6*d + 34 wrt d?\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -6.2. Sort -2\/7, h, -0.3.\nAnswer: -0.3, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 87411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + -18. Let i = 31 + p. Suppose t + 2*t = 3*k + 882, -i*t + 5*k = -1180. Round t to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -109492 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*17\/6 + -91 + 96. Let x(r) = -r**3 - 2*r**2 + 8*r - 1. Let z be x(-4). Let c = 0 + 1. Sort p, z, -0.1, c in decreasing order.\nAnswer: c, -0.1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/12 + 5*u**3\/6 - 6*u**2. What is the derivative of g(o) wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 12:32 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2, -8\/5, 0.033 in descending order.\nAnswer: 5, 3, 2, 0.033, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 33*y = -28*y - 14, 0 = -2*y. Solve -z*r - 8 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by -7346.\nAnswer: -87\/3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - 2*r**4 + 3*r**4 + 4*r**4 - 56*r**4 + 84*r - 84*r + (r**4 + r**4 - r**4)*(0 + 3 - 1).\nAnswer: -52*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 297569 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257657, 515314, 772971, 1030628?\nAnswer: 1288285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3\/3 + 13484*d**2 - 484892*d\/3 + 148148 = 0.\nAnswer: 1, 11, 10101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 8*j + 63 = 0. Let g = j - -29. Suppose -2*m + 21 = 1. Calculate the smallest common multiple of g and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 124454040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 60 - 652 = -2*u, 5*s - 1798 = 4*u. Suppose s*k - 359*k + 289 = 0. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1)\/(-1) - 7\/(21\/(-69)) and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21168, -21123, -21088, -21069, -21072, -21103?\nAnswer: -21168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 80*z + 7. Let l be s(0). Suppose 4*j - q - 23 = 2*q, 0 = -5*j - 5*q - 15. List the prime factors of 24\/l*7\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -451*v**3\/6 - 83*v**2 + 5*v + 29. Find the first derivative of k(j) wrt j.\nAnswer: -451","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5699*c - 5185*c = -23436 + 1848 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 2 = 4*d, 0 = -r - 3*d + 1. Sort r, 3, -1 in increasing order.\nAnswer: r, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72052148 - -0.23\nAnswer: -72052147.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 179. Is 14\/((-44)\/a + 8\/(-20)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*c**4 - 22*c**3 - 11*c - 70*c**4 + 82 + 11*c - 13 in the form y*c**3 + o + s*c**4 + u*c**2 + m*c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u - 12 = 59*u - 105*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 139. What are the prime factors of (2 + 56)*(m - 6)\/(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526328 is divided by 9511.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.2 (b) -2\/5 (c) -6\/7 (d) 2\/7 (e) 0.085 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*z - 213 - 218 - 427*z + 431 to g*z + t and give g.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4164 is divided by 1386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 12285*n - 30693*n + 4.\nAnswer: -18408*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1358 = 5*z + 182, 0 = 4*z - 5*d - 921. Solve 0 = 235*j - z*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -583 - -597. Calculate the lowest common multiple of 126 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155666 rounded to the nearest 100?\nAnswer: 155700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52\/5? (a) -5 (b) 2\/5 (c) -0.03 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00514186 to five dps.\nAnswer: 0.00514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/(-112)*28\/1. Let p be 498\/8 + y\/4 + 6. Let u(v) = 3*v**2 + 2*v + 1. Let f be u(-2). What is the greatest common divisor of f and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 91, 186, 281, 376, 471?\n\"Answer: 95*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -213*h**4\/2 - h**3\/6 + 7*h**2 + 21*h. Let q be s(6). What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*i**2 + 9*i**2 + 3*i**5 + 23*i**5 + 15*i**5 + 26*i**5 - i**5 - 4*i**5 + 4*i**5 + (2*i**2 - 4*i**2 + 0*i**2)*(2*i**3 - 6*i**3 + 3*i**3).\nAnswer: 68*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 459317507 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511663, -1023327, -1534991, -2046655, -2558319, -3069983?\nAnswer: -3581647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(1 + sqrt(300) + -1 + -3)**2 + -4).\nAnswer: -6164 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2761076 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 i when four letters picked without replacement from ihhziih.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262585336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632 is divided by 290.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*q - 357 = 0, -2*i - 6*q = -5*q + 171. Let w = i + 89. Solve f + w = 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 27918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 1602, -45 in increasing order.\nAnswer: -45, -2, 3, 5, 1602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -19. Is 47 a factor of ((1 - x)*1)\/((-8)\/(-2840))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let t(f) = f**2 + 167. Determine y(t(z)).\nAnswer: 2*z**2 + 334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/2 - 4*f**4 + 19*f**3 + 26*f**2 - 37*f\/2 - 22 = 0?\nAnswer: -11, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 14*m**2 + 48*m - 132. Calculate the remainder when w(3) is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 13 = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*h - 9 = 6, 2*z = -5*h + 26. Let y(g) = -g + 5. Let k be y(z). Solve 2 = -v - k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1275, -1014, -579, 30, 813, 1770, 2901?\n\"Answer: 87*k**2 - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**7\/10080 - b**5\/480 - b**4\/3 - 2*b. Let f(m) be the third derivative of w(m). Factor f(c).\nAnswer: (c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:17 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1510)\/30 + 2\/(-3). Suppose 2*r - 4*o + 28 = 0, 0*o + 4 = 2*r + 4*o. Let u = r - w. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/25)\/(1\/5). Suppose -3*z + i = 5*c - 0, z - 4*c - 1 = 0. Let y = 9 + -5. What is the nearest to y in 5, -1, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0577 * -827\nAnswer: 47.7179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/(6195\/(-25)))\/(25*5\/150)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1354208 by 202.\nAnswer: -6704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-7)*((-1176)\/224 + 5)\/((-1)\/(-2))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 166*i - 1476. Give f(-68).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 38\nAnswer: -33\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 + 375*x**2 + 13130*x = 0. What is x?\nAnswer: -26, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000269 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436414\/332 + (-10)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (253\/(-55) - 12\/20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 9*l - 10. Let s be b(-10). Suppose c = -u - s*u + 28, -4*c = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695*i - 347*i - 351*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 14*z**3\/3 + z - 3. Is k(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/4 - 1\/4. Let u = 393995 - 393989. Sort 1\/4, u, g in ascending order.\nAnswer: 1\/4, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:39 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 16677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = n. Let f(s) = 13*s**3 + 3*s**2 - 2*s + 3. What is the remainder when f(n) is divided by 4\/6 + (-85)\/(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 396235769 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 d when four letters picked without replacement from {d: 15, b: 3}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -11, -30, -51?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/14, -5 in increasing order.\nAnswer: -5, -3, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.94 - 0.06. Let r = h + 4.8. What is the closest to 0 in -3, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103411 (base 5) in base 9?\nAnswer: 4846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 3. What is b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 0.068. Let n = x + -1.962. Which is the nearest to n? (a) -2\/7 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v - 93. Let f be z(-4). What are the prime factors of (-548 + (0 - 5))*f?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 496*y**2 + 220*y - 895. What is the thousands digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0642 + -94.7642. Let i = r - -98. Sort i, 1\/6, -3, -2\/9 in descending order.\nAnswer: i, 1\/6, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/145977 and 36\/2561.\nAnswer: 145977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 562363000 rounded to the nearest one million?\nAnswer: 562000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8191943*l**5 - 2*l**3 + 34*l**2 - 3*l + 6454 wrt l?\nAnswer: 491516580*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1. Let w(v) = 6*v - 5. Let r(c) = 6*c**3 + 19*c**2 - 10 + 5 + 1 - 5*c**3 - 15 + 77*c. Let b be r(-13). Determine b*s(f) - w(f).\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 259228 = 36*g - 40*g, -5*z + 129614 = 2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5719 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15111730 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, q: 1, v: 1, m: 1, z: 1}. What is prob of sequence zvmq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-8))\/(12 + (-11 - (-175)\/(-10)))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/(-154))\/((-4)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19)*1 + -2) + 1*sqrt(19)*-1 + 5.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-240)\/(-13924)) - 3. Let s = 784\/5 - k. Let y = -7411\/418 + 393\/19. What is the common denominator of s and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 15868\/5041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f7f (base 16) in base 12?\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49727*q**3*r**3 + q**2*r**2 + 2*q*r**3 + 2*r + 3 wrt q?\nAnswer: -298362*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*111\/3256*2\/18*3*6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2259, -4516, -6773?\nAnswer: -9030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31.66564cm?\nAnswer: 316.6564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5441020830.\nAnswer: 2, 3, 5, 7, 2878847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 240.63 and -10.7?\nAnswer: -2574.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706444569.\nAnswer: 31, 73, 103, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702582 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x - 5*y, -30*x + 27*x = -4*y - 11. What is the fourth biggest value in x, 881, -1\/6, -2, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23079)\/(-10990)*-1*(-65)\/(-28)?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2498889 (base 11) in base 13?\nAnswer: -b88311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7029\/7 - -1007. Let v = 1012\/371 + 22\/53. Let z = v - k. Which is the nearest to z? (a) -3 (b) -3\/8 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1405747 is divided by 1766?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3140 divided by -785.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0\/3 + -86 + -3. Let a = n + 89. Let j(p) = p - 237 - a*p + 242. Calculate j(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 > 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - v + v)*(-3 - 14 - 90)*(-v**2 + 0*v + 0*v) + 14*v - 14*v + 10*v**3 as o*v + q + z*v**2 + i*v**3 and give i.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 919\/4760 + 67\/136. Let t(o) be the first derivative of -3\/14*o**4 - 2 + 0*o**2 - 4\/21*o**3 - 1\/3*o**6 + 0*o + v*o**5. Suppose t(k) = 0. Calculate k.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 2*f + 123 + 76 - 16.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 112, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640973448 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/24 - 5*l**4\/24 + l**2 + 15*l. Let s(u) be the first derivative of n(u). Let s(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2529376 < -2529363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 31218.\nAnswer: 124872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5301325 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -52, -57, 4, -3 in ascending order.\nAnswer: -57, -52, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(2\/(-2))*(-14865)\/17838.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:26 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 + 6*q + 5. What is the remainder when (4 + 5)*(1 + 4\/4) is divided by h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11333121111 (base 4) to base 12.\nAnswer: -638959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*c + 121366 + 67914. Calculate the remainder when c is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -474110271\nAnswer: 474110270.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + 2*p - 26, 5*m - 3*p - 25 = 0. Sort 3, 0.4, m in descending order.\nAnswer: m, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -62. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.4 times 3?\nAnswer: 1012.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from kiikwniwwiiiiwink.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1*l**21*l)\/((l**(-10)*l)\/(l*l**(-12)*l)) assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = b + 5, 37*f + b - 130 = 214*f + 43 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204768 and 32292.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8687 - -13471. Is 52 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21466 is divided by 1231?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11403 + -2?\nAnswer: -11405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + 2. Let i = 39.027925 + -37.928. Let t = i - n. Round t to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 20 = 2*c. Let l = c - 10. What is the remainder when 47 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/143 and -101\/23920.\nAnswer: 263120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -13. Let m(i) = i + 10. Let h be m(n). Does 3 divide 1\/h + (-45)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**2 - 4926*q + 59287. Give f(12).\nAnswer: -1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1767330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -1.2. Which is the closest to 1\/4? (a) y (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -121, -3, -5774?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:05 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3752.6 and -0.4?\nAnswer: 1501.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - t - 1. Let q(s) = -3*s**2 - 14*s - 11. Let p(r) = 4*n(r) - q(r). Let k be 2\/(-4)*3*-6. Is p(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -27. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 505\nAnswer: -39\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106501117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 18642.478 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 108. Differentiate -2 - i*f**2 + 81 + 3*f**3 + 76 - f**3 with respect to f.\nAnswer: 6*f**2 - 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.9. Let w = -0.3 - -1.3. Let c = 0 + w. What is the second smallest value in c, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3224 + -24241411?\nAnswer: -24233132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 29. Let s be v(12). Suppose -4*i + 8 = s*c - 12, -2*i - 20 = -5*c. Calculate the lowest common multiple of 2 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 16}. What is prob of sequence ppp?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*a + 109*a = 210*a + 3588. Calculate the greatest common factor of 22494 and a.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*y**3\/7 + 184460*y**2 + 4447322*y\/7.\nAnswer: 2*y*(y + 71731)*(9*y + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:32 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -1291, 68 in increasing order.\nAnswer: -1291, -3, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j - 1. Let w be ((-18)\/(-36))\/((-2)\/(-4)). Let p(r) = -r**4 + 3*r**3 + 11*r**2 - 9*r + 2. Let f(i) = w*p(i) + 6*x(i). Factor f(a).\nAnswer: -(a - 4)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 25. Which is the closest to 1? (a) -2\/11 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 33 - 65 = 0. Let v(m) = m**3 - 8*m**2 + m - 9. What is v(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a + -35c?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*r - r - 113438 = 0, 5*r = -4*o + 90734. Suppose -2*z - 493314 = o. Round z to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.9. Let x be 2 + -1 - (-3 - -1). Suppose 0 = -x*p + 5*u + 2, u = -2*p - 2*p - 5. Which is the closest to g? (a) p (b) -1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s - s**3 + (2*s**2 - 3*s**2 - s**2)*(0*s - 2*s + 3*s) + 3*s**3 - 2*s**3 - 3*s**3 - 2*s**3 - 4*s**3 + 7*s**3 + 2 - 3*s**3 - 2.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11674*a**2*q**4 - 2*a**2*q**3 + 3*a**2*q**2 - q**2 + 1726*q wrt q?\nAnswer: 280176*a**2*q - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**6*v)\/((v*v**(1\/3))\/v)*(v\/(v\/v**(-2)))\/v*v**(-4)\/v assuming v is positive.\nAnswer: v**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 2, d: 1, l: 4}. What is prob of sequence xd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45463, -46033, -46603, -47173, -47743?\nAnswer: -48313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 5*s + 6. Let a be f(-5). Let l = a + -2. Let c(u) = -7*u**2 + 4*u**2 + l*u**2. Let b(k) = -3*k. Determine c(b(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5295.179ug to kilograms.\nAnswer: 0.000005295179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5798 divide 1230264761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/((-7)\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**8\/84 + 2*z**7\/15 + 13*z**6\/30 - z**5\/5 - 3*z**4 - 33*z**2. Determine r, given that x(r) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4825*x + 810*x - 473340 for x.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -533\/12 - -134\/3. Sort j, -5, 0.4.\nAnswer: -5, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2836756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Suppose 4*f - 2*f + 56 = 0. Let z be 8\/f*1\/(-3). Which is the third smallest value? (a) -2\/9 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011011110010010111 (base 2) to base 5.\nAnswer: -130404403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11565 is divided by 972?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/6)*w*w)**(-19)\/(w*w*w**35*w*w**(1\/56)\/w*w))**(2\/103) assuming w is positive.\nAnswer: w**(-15431\/8652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9205*w**2 - 2*w + 18192?\nAnswer: 18410*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = -13. Suppose -4*t + 64 = 4*u, 0*u - 2*t = u - 20. Suppose 3*m - 3*f - 12 = 6, f + u = 3*m. Solve 0*y + 2*p = -3*y + 17, -m*y - p = -v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41662181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -6)\/(-1) + 9. Find the third derivative of -3*m**6 - m**2 + 2*m**6 + q*m**2 - 5*m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.25 times 3?\nAnswer: 6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 17*m - 33. Let z be c(16). Let d = -861 + z. What is the remainder when d is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20890?\nAnswer: 2, 5, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29673 - 29673.4. Let i = 0.5 + -1. What is the second biggest value in f, i, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -5 (c) -146.95818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)\/d*(d**23*d)\/d assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40704 divided by -384\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -3*r. Suppose -6*i + 28 = -r*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d**4 - 80*d**3 - 32*d**2 - 48*d + 16. Let x(j) = -6*j**4 + 26*j**3 + 11*j**2 + 15*j - 5. Let i(l) = 5*a(l) + 16*x(l). Factor i(b).\nAnswer: 4*b**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 divided by 16?\nAnswer: -459\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 3 = -3*c, 4*c = 8. Suppose 126*s = -87*s + 852. Sort 5, s, b in increasing order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953036037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 19*n**2 + 19*n - 13. Let g be a(-20). Suppose -g*p + 2*p = -20. Find the common denominator of -26\/11 and p - 3 - 95\/145.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, m: 2}. What is prob of picking 2 m and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let z(n) = -2929*n. Calculate z(y(k)).\nAnswer: -5858*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 45 + 0 = 0. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/(514\/(-172) + 3). Let q = a + -14. Suppose 3*c - 423 = 4*l - 167, c - 5*l - 100 = 0. Calculate the remainder when c is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by 2.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 685226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) + (-10850)\/1395?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1352\/11 + 123. Let q = 180 + -177. What is the smallest value in h, q, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-232)\/2*(10\/4 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1480803822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - l. Let n be m(1). Suppose 0 = 3*a - 5 - 16. Suppose -2*i + 27 = a*i. Solve 3*j + 2*j = n*c + 23, -5*c + 7 = i*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(296009\/16397 + 36\/(-2)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**7\/70 + 73*m**5\/5 + m**4\/6 + 655*m**3\/3 - 2*m**2 + 5408. Find the second derivative of o(i) wrt i.\nAnswer: 36*i**2 + 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 16*r + 0*r. Let o = -658 + 659. Let x(j) = -2*j - 1. Let y(m) = -5*m**2 - 12*m - 6. Let i(z) = o*y(z) - 6*x(z). What is k(i(t))?\nAnswer: -55*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -20135*x - 141548. Give k(-7).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:00 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/126974233 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u**3 - 6*u**2 - 9*u**3 + u**2 + 4*u**2 - 831 - 7*u**3 to p*u**3 + d*u + g + b*u**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 4*k + 4. What is l(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*z + 15. Suppose -3*a + c = -2 - 3, -4*c = -z*a + 20. Suppose -9 = -3*f - a*f. Solve f*d + 2*d = 3*j + 32, -3*j - 24 = -3*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 25*d + 14. Determine l(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5 - (-5016)\/1995\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16870636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88496608 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (10*1)\/(-28*(-150770)\/306575). Let x = a + -1\/45231. Calculate the common denominator of x and 149\/78.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5182079 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - 1. Let f be 4*(-2)\/u*2. Is 1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.57023 - 0.57. Round n to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2741132?\nAnswer: 2741132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17052004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -808*d - 14868. Determine i(-20).\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 15 = 10*w, -672*w + 676*w + 2*j = -1 + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5491 - 178*t + 5491)*(4 + 0 - 3)*(4 - 6 + 4) as i*t + q and give i.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 4430265.\nAnswer: 17721060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 4*j**2 + 4*j + 7. Let q be r(5). Let i(c) = -2*c**2 + 18*c + 3. Let t(f) = f - 1. Let v(l) = q*t(l) - i(l). Is v(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a kilometer in meters?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 83850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1027910 to the nearest 10000.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838 (base 10) in base 13?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*b - 8, -4*b - 2*x + 6 + 0 = 0. Let f(t) = 46*t + 2. Is 12 a factor of f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -211 - 427 + 400 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66888638 less than -30472.9?\nAnswer: -66919110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18259, -3\/5, 3, 1 in descending order.\nAnswer: 18259, 3, 1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 26. Suppose -2*u - u - 1 = -5*m, 0 = -v*m - 5. Let p(t) = t + 2. What is p(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 8:15 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 1925*p + 7807*p.\nAnswer: 5882*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(121)*-1 - sqrt(121)) + sqrt(121))\/(sqrt(99)\/(-2*sqrt(9)))*-3*6.\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szsssssssssszssszs. Give prob of sequence zzss.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15783, -63143, -142077, -252585, -394667, -568323, -773553?\nAnswer: -1010357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 17\/10*d**5 + 22\/3*d**3 - 21*d + 0*d**2 + 1\/12*d**4 + 0. What is the second derivative of p(g) wrt g?\nAnswer: 204*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 59, 0.\nAnswer: -4, -1, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -532085.8 and 0.6444.\nAnswer: -532085.1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/13 + 46444*o**2\/13 + 92882*o\/13 + 46440\/13 = 0.\nAnswer: -23220, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let z(h) = 3*h**2 + 5*h - 3. Let f(a) = -3*a**2 - 4*a + 4. Let w(s) = -5*f(s) - 4*z(s). What is k(w(y))?\nAnswer: -18*y**4 + 96*y**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1349\/444 + -795\/148. Let i = -1 + -2. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97860.9ml?\nAnswer: 97.8609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1666890372141 + -0.2\nAnswer: 1666890372140.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -0.1262.\nAnswer: -9.1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 616 + -49. Let j = -1167 + t. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/160 - 23*z**5\/80 + 25*z**4\/16 + 163*z**2 + 3. Factor q(s).\nAnswer: -3*s*(s - 2)*(s + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 61, 19, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1626 + -532. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/12)\/(-1))\/(8\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749 + c**3 - 372 - 377 + 4*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*a + 2. Find the first derivative of -35 + 10*v**4 - 24*v**4 + 0*v**4 + a*v**4 wrt v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, 42, -41, 5\/6, 21 in descending order.\nAnswer: 42, 21, 5\/6, -2\/3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -14, 4, 5, 8 in decreasing order.\nAnswer: 8, 6, 5, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*1124 - (-2 + 1). Suppose 0 = -5*o + v + 412. What is the greatest common divisor of o and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.809298mg?\nAnswer: 0.000000004809298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/10)\/3)\/(36*42\/(-75600)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 6013*z = 6015*z + 52, -z - 95 = -4*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1103, -4152, -9705, -18146, -29859, -45228?\nAnswer: -64637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 20*k + 223. What is t(-15)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113223 + 2011?\nAnswer: -111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*l - 77 + 77)*(-52 - 45 + 12) in the form w*l + v and give w.\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27329 is divided by 13530.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 79*t + 11 + 73*t + 84*t - 233*t. Determine h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 1}. Give prob of picking 1 e and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13010 + -2?\nAnswer: 13002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.4 + -8.2. Which is the biggest value? (a) w (b) -5 (c) -0.4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 5*c - 3. Let q(o) = 4*o**2 + 20*o - 11. Let k(x) = -2*q(x) + 9*y(x). Determine k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76\/114)\/(((-2)\/(-1))\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45\/36*16\/170\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1061604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1001 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13112, 13869, 14642, 15437, 16260, 17117, 18014, 18957?\nAnswer: 19952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14757349 a multiple of 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3 - 0)\/((-2)\/(-9)). Solve -2*k**2 - 3*k**2 - 7 + c*k**2 - 12*k - 3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233440 is divided by 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 - 2*k. Let j be x(-2). Let o = j - 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 4*r**2 + 2*r + 9. What is the units digit of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/23 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -623a61 - 1022?\nAnswer: -624a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/21 (b) 1 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15) - ((-12)\/(-10) - 1386\/154)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:42 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065869 rounded to 5 dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a + 15. Let b(x) = 4*x + 6. Let g(m) = -5*b(m) + 2*i(m). Let z(d) = 5*d**2 - 29*d. Calculate g(z(y)).\nAnswer: -10*y**2 + 58*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*3\/(-42))\/((-55)\/77).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (97\/(-2910))\/(3\/9)*-50. Suppose 2*x = 4*c + 24, -4*c - 21 = 2*x + c. Sort -4, 128, m, x in increasing order.\nAnswer: -4, x, m, 128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51388*a**4 + 4*a**3 + 246*a**2 + 99*a wrt a.\nAnswer: -1233312*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 - -351. Round k to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 2*a - 2 + 2*a + 2 + (2*a - 3*a - a)*(-1 + 4 - 5))*(-2*a**4 + 1 - 1).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -666 in increasing order.\nAnswer: -666, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 7*o + a + 9, -15 = -5*o + 2*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11351*a**3 - 16225*a.\nAnswer: 68106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -7 (c) -752 (d) -4 (e) 2\/3 (f) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -2*m. What is the tens digit of m - (-3)\/((-3)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-190)\/2375)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3178 or 3171?\nAnswer: 3178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595201 divided by -6?\nAnswer: -1595201\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -939?\nAnswer: 4\/939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 216, 220, 214, 192, 148, 76, -30, -176?\n\"Answer: -a**3 + a**2 + 8*a + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3641*q = -1081*q - 38400 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 735065965 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/9 (c) -2358 (d) -3 (e) 2 (f) -0.3 (g) 5\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 9*c - 702 - 9*c - 98 + 78*c.\nAnswer: 2*(c - 10)*(c + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2686937, 5373843, 8060749, 10747655?\n\"Answer: 2686906*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p - 7. Let x be -1*(-3)\/6*-10. Let w(y) be the second derivative of 7*y**3\/6 - 4*y**2 - 3*y. What is x*w(j) + 6*g(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -342 - -335. Let z be (-7 + (-29)\/w)\/((-6)\/21). Calculate the highest common divisor of z and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - -62. Suppose -3*p - 4*b - u = 0, 2*b + 1 = p + 25. What is the remainder when 55\/p*4*-3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + 35012?\nAnswer: 34621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -36. Suppose -k + 20 = 4*k, -5*j + 15 = -c*k. Does 7 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2961 - 382. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**4 - 3*m**4 - m**4 + 40*m**4 + 69*m**4 + 42*m**4 + (2 - 1 + 0)*(-4*m**4 + 5*m**4 + 0*m**4).\nAnswer: 159*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:40 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 19.9. Sort n, 1, 5\/2 in descending order.\nAnswer: 5\/2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21050284*l**3 + 46594295*l?\nAnswer: -126301704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1 (c) 40 (d) -1 (e) -56 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2496) - sqrt(351)*-2)\/(sqrt(300) + -3*sqrt(300) + sqrt(15)\/sqrt(5)*4).\nAnswer: -11*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/128)\/(35 + 26474\/(-756)). Factor -3\/8*a**2 + j*a + 0.\nAnswer: -3*a*(a - 27)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-39) + (-37)\/(-13). Suppose p*m - 159 = k, -3*m + 3*k + 201 = 48. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:57 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0.015, 1662?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 3*o**2 - 5*o + 5. Let b(n) = 9*n**2 + 11*n + 23. What is the remainder when b(6) is divided by a(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-84)*50\/(-15).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73831124.\nAnswer: 2, 18457781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 + (-12)\/24. Suppose -k = x + 1, -4*x - 2*k + j = k. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 380.5 + -382.479. Let b = -2 - j. Let w = b - -0.0209979. What is w rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62912 by -4.\nAnswer: 15728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1160 + -1164. Let o = -55 - -493\/9. Which is the fourth smallest value? (a) 2 (b) o (c) -1\/4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*i + 1598 = -1465 + 543. Solve 4*j - 33 = -i*z - 1, -z = 3*j - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.14, 1\/12, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-500)\/400*112\/(-30))\/(-5*18\/1215)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4248043 is divided by 6732.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -526 or -154920?\nAnswer: -154920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000619991 to seven dps.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1\/3*q**3 + 0*q - 36 - 1\/2*q**2. Let g(j) = 4*j**2 + 3*j. Let w be ((-2)\/(-3))\/(2\/(-3)). Determine w*g(r) - 3*b(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2127034 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2. Let r(j) be the second derivative of -3*j - 1\/3*j**3 + 0*j**2 + 0. Calculate r(i(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 490*h + 708 + 2365 = 0. Suppose 5*f + 2*g - 11 + 47 = 0, -f = g + 6. Let i = f - -4. What is the smallest value in h, 3, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 5*t - 2. Let o be h(-4). What is the remainder when (8\/(-12))\/(o\/(-15)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2824.097kg?\nAnswer: 2824097000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -1\/3, -0.11, -6, -120?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 13 + (-7 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1134485, 1134471, 1134443, 1134401?\nAnswer: 1134345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*(z\/z**(-8\/3))\/z)\/z))**(-31\/2)\/((z**(-12\/7)*z)\/z**(-11\/2)))**(-16\/5) assuming z is positive.\nAnswer: z**(-7072\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24412 (base 10) to base 13.\nAnswer: -b15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/25 - (49\/(-35))\/7) + 617. Is 615 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3201 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1176)\/14)\/(-14))\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8923*1847\nAnswer: -16480781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 - 281*a + a**2 + 281*a to y*a + i + k*a**2 and give i.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v*v*v**3)*v))**(-2\/15)\/(v**(6\/13)*v\/(v\/(v*v\/(v*v**(2\/5))))))**(-13))**(-3\/40) assuming v is positive.\nAnswer: v**(-337\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2 - 2 - 3)*(0 + 0 + 4)*(-f**3 - 12*f**4 + 3*f**4 + 4*f**4).\nAnswer: -140*f**4 - 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 93\/4067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 448, -1\/7, -5, -6\/11, 5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -244950.\nAnswer: 5633850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23070, 23033, 22926, 22713, 22358?\nAnswer: 21825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 57195.35 times -4\nAnswer: -228781.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*a + 34*a + 17*a)*(a + 2*a + a).\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k - 197. Let y be m(25). Solve -6*t + 9*t = y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73151 + 73162. Calculate the remainder when (-373)\/(-4) - (-2)\/(-8) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.4395946 to three decimal places.\nAnswer: -38.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 5. Let r(b) = -3*b**2 + 7*b - 7. Let s(q) = 8*q**2 - 20*q + 21. Let i(g) = 11*r(g) + 4*s(g). Let f be i(-5). Is f greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*s - 2580 + 8606, -4*x + 6047 = 5*s. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -19. Let r = j + -23.000028. Round r to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(225)*2)\/(3*((sqrt(55) - (sqrt(220)\/sqrt(4) - sqrt(55))) + sqrt(55))\/sqrt(11)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35495671175276 from -3.\nAnswer: -35495671175279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -2, 42?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45401233?\nAnswer: 45401233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10106 divided by 62\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1341 - 1345. What is the closest to 1\/3 in 26, 4, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*o*v**2 + 719*o - 572756*v**3 - 24424 wrt v?\nAnswer: -14*o*v - 1718268*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccycccccccc. Give prob of sequence yc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -10*p + 5*p - 5745, 3*f + 6 = 0. Let v = 32191\/28 + p. Find the common denominator of 54\/(-24)*(-2)\/11 and v.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2 + 43*h - 107. Give z(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 9*i**2 - 9*i - 8. What is o(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 + -9 + 116 - -117?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 3*c - 5*c - 3*c - 4*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y**3 + 421285*y**2\/2 - 52660*y = 0. What is y?\nAnswer: 0, 1\/4, 21064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16157547221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - 13\/(-5). Let u be ((-10)\/14)\/(29\/(-203)). Suppose u*s = w + 8, 2*w = -2*s + a*w + 2. Solve -5*j = -s*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/20 + 5)\/((-2)\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95548266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10108.84 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23514 - -65583. What are the prime factors of q?\nAnswer: 3, 17, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77089 is divided by 5505?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*o - 648*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2*q + 1. Let o(f) = 1. Let s(l) = 5*o(l) - w(l). Let r be s(0). Suppose -7*b + 2*b = 0. Sort b, 2, r in decreasing order.\nAnswer: r, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-2)\/(-54))\/(14\/(-56))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-39) - (-11)\/(-12). Let t = 1.93969 - -0.06031. What is the fourth biggest value in 0.1, t, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614209849?\nAnswer: 3, 97, 727, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - sqrt(65)*1*3) - 1*(sqrt(65) - (sqrt(65) + 1*sqrt(65))))\/(-6*(sqrt(5) - (sqrt(5) + sqrt(125))*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**6\/720 - q**5\/40 - q**4\/6 - 2*q. Let m(i) be the third derivative of y(i). Give m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-12 + 7 + -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/(-84))\/((-20)\/(-72)))\/((-3)\/2).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 10*d + 2. Suppose 0 = -4*z + 3 - 27. Let k be z - (-3)\/9*-3. What is the units digit of b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 83*m + 2. Let w(t) be the first derivative of -2*t**3\/3 + 29. Give b(w(p)).\nAnswer: -166*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959179627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let f = -4 - 4. Let o = f + 6. What is the third biggest value in 0.2, o, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53603.56 centimeters?\nAnswer: 536035.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-49))\/((-2)\/49). Let n(p) = p**3 - 14*p**2 + 8*p + 19. What is the tens digit of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*z + 40920 = 179840. What is the smallest common multiple of 906 and z?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v. Suppose v = 9*p - 426 - 195. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -28517 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 7) to base 11.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2002*g + 3*g**2 - 2002*g - 2*g**2 - 8*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1679*g - 74880 = -1201*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)\/(z\/(z*z*z*z**(-6)*z*z*z*z))*(z**2)**(-3\/5)*((z\/((z*z**(-7)*z)\/z))\/(z\/(z*z*z\/(z\/z**3)*z)))\/(z*z**1)**27 assuming z is positive.\nAnswer: z**(-241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + (-6)\/3)\/(-1). Is -13 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 - 8)*(q + 1 - 1) + 0 + 0 - q + q - q - 3*q + (-4 + 3 + 2)*(5*q - 3*q - 4*q) to the form v + d*q and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38977 is divided by 82?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2280271325223+-0.01\nAnswer: 2280271325222.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -t + 55, 5*t - 4*t = 2*l - 15. Let y be (8\/l)\/(1\/30). What is the tens digit of 27 - (-3 + y\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 827 (base 12) to base 5\nAnswer: 14213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 5, 0, -0.09, -0.3 in descending order.\nAnswer: 5, 0.04, 0, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*l + 1, -4*f - 2*l = -6 - 0. Let u be 1 + (f\/(-4))\/(1\/14). Let p = u + 52. Calculate the remainder when 182 is divided by p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 1241, 2419, 4061, 6161, 8713?\nAnswer: 11711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*-3*(-1*sqrt(160) + sqrt(160)))\/((-2*sqrt(90)*1)\/(-2*sqrt(245))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times -22?\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*p + 2 = 0, 2*m + m + 5*p - 8 = 0. Let d = 7 - m. Which is greater: -6\/31 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 17. Give y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2090663 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((115\/40*-2)\/(-1))\/(511\/(-1022))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*m - 2)*(-2*m + 0*m + m)*(3 - 4*m - 2 - 2*m**2 + 3*m**2) to the form k*m + u*m**3 + v*m**4 + s*m**2 + l and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvvvccccc. Give prob of picking 2 v and 1 c.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*b - 4*m, -3*b + 73 - 16 = 3*m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 - t**4\/12 - t**3 - 2*t**2 + 4*t. Let l be h(-4). What is the greatest common divisor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 12668711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:45 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64757.\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12368 divided by 2?\nAnswer: 6184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 586438, 0.2, -3, -26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Suppose 3*f - 21 = -3*t, 8 = 2*f - 0*f. Suppose t*i - 117217 - 170783 = 0. What is i rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4997 + -2039. Is 51 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -1327*s**4\/4 + 59*s**3 + s**2\/2 - 38. Find the third derivative of k(m) wrt m.\nAnswer: -7962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 8. Let h be a(2). Let v be 4\/(-6)*(-4 + 1). Suppose 0 = 3*i - v*i - h. What is the highest common factor of i and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90.5 - -91. Which is the third smallest value? (a) u (b) 0.1 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 6 + 12 = 8. Which is the closest to r? (a) -0.3 (b) 709 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 12653*l - 25112*l + 12457*l.\nAnswer: -2*l - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.2 (b) -4 (c) -103 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632.6104kg to micrograms.\nAnswer: 632610400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1942 + -1926. Calculate the remainder when 1199 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 + -10 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31592708 and 1771.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 3520, 7976, 14222, 22252?\nAnswer: 32060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2704)\/(-2028) + -3*(-32)\/18*1\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -685*n + 681*n - 12, 3*b + 20 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - g = -21, 0 = 2*z - 0*z - 4*g. Let u(d) be the first derivative of d**2 - 10*d - 1. Let p be u(z). Solve p = -5*f + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260) - 1*(-1*sqrt(260) - sqrt(260) - sqrt(260)))\/(sqrt(240)\/sqrt(3)))\/((sqrt(80)\/sqrt(4)*1)\/(sqrt(25)\/(sqrt(10)\/sqrt(2)))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 839\/2 <= 419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40859.8 or 0?\nAnswer: -40859.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50777087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - l**3 - 6 - l**3 - 16*l + 8*l**3 - 6*l**2.\nAnswer: 2*(l - 3)*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -174519.\nAnswer: -698076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 130. Let a = 0 + d. Let l = a - 19. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39109494 and 20526?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*f + 17, 3*f = 4*c + f - 14. Let h = 9 - 5. Suppose -153 = -4*l - c*o + 138, 0 = h*l + 5*o - 293. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 9*a = 20. Suppose -a*x + 289 = -8*x - 5*c, -5*x - 3*c + 738 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.188 - -0.112. Which is the second smallest value? (a) -1\/8 (b) 0.03 (c) 0.1 (d) q (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.035. Let x = i - -0.0442. Round x to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18252 or 18257?\nAnswer: 18257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 254*n + 5. What is the remainder when 819 is divided by v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1900 and 111\/11780.\nAnswer: 58900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, -8\/3, 2, -2\/15, -265?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807680 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23*1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4301374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/(-10)*24\/10. List the prime factors of -1*51\/o*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -6*o - 4. Which is smaller: o or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*i + 8, 5*h = -0*i - 3*i - 10. Let u(l) = -2*l + 2. Let a be u(0). What is the derivative of -4 + 1 - 5 + i - a*y**2 wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4712.4 - -4718.4. Which is the second smallest value? (a) -1 (b) 58 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*g + 13, 195 - 108 = 4*c + 3*g. Solve -59 = -43*k + c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -102. Let x = -23 + s. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70792194?\nAnswer: 2, 3, 11, 83, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 23 = -4*q, -5*q = -2*t - 0*t - 23. Suppose -t = -5*u + 9. Let n be 1 + 1 - (-2 + 5). What is the second smallest value in n, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (67\/1541)\/(3\/69). Let p(u) = u**2 + u - 1. Let d(v) = -4*v**2 - 3*v + 2. Calculate y*d(b) + p(b).\nAnswer: -3*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k**2 - 17*k + 51. Let o be p(-16). Let x = o - -9954. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from ohrhohvoviirlr?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1648)\/(-126) - 46\/207) + -8 - (-3 + 11).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1070)\/(-18725)*(3 + 4) + (-1)\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 14 + (-1224)\/84\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {w: 1, n: 1, j: 5, u: 4}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 - 2*w + 3. Let k be q(-6). What is the third smallest value in -3, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 7. List the prime factors of o(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148.9 * -1319.\nAnswer: -196399.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 884208 and 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16797 - 7948. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 5. Let q(p) = -3*p + 8. Let w be (-3)\/(-1)*(-24)\/9. Let m(c) = w*g(c) + 5*q(c). Let r(u) = 5*u**2. Give m(r(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 6. Let s = 35 - o. Suppose -3*d + s = -d. Calculate the smallest common multiple of 10 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 - 2*t**4 - t**4)*(-10*t - 8*t - 15*t) + (3*t**2 + 2*t**2 - 3*t**2)*(-4*t**3 + 0*t**3 + 3*t**3).\nAnswer: -35*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 7106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) -97 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4712852789.\nAnswer: 23, 41, 1409, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52324 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1134433344 - -3304?\nAnswer: 1134442203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*-337459.1\nAnswer: 1012377.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 83.794616064.\nAnswer: 71.794616064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-35)\/420).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10508 - -10513. Solve -5*v + 9 + 1 = 2*y, b*v + 5 = -5*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhdhc. Give prob of sequence dh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*(-5)\/(400\/(-16)))\/((-44)\/(-10))?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 greater than -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h + 2*t - 5, 4*h + 2*t - 2 = 0. Suppose h = 4*y - 21. Suppose 0 - y = -3*k. Solve k = -b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -35\/2, -0.3?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.51 - 2.81. Let d be 20*2\/6 + (-2)\/(-6). Suppose -d*v - 25 = 10. What is the second smallest value in g, -5\/2, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 less than -35542403641.72?\nAnswer: -35542403641.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (144\/21)\/(-4) + 2. Let g be (-2)\/(-6)*1*(2 + -19). Do g and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2296479820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, i: 6}. What is prob of picking 2 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615651959?\nAnswer: 13, 3642911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2 + 2*z - 8. Let l(k) = -6*k**2 + 2*k - 9. Let x(s) = -6*b(s) + 5*l(s). Let t be 171\/(-228)*(-4 - 0). Is 34 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13871, 4, -2032 in descending order.\nAnswer: 13871, 4, -2032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 4545*o - 4540.\nAnswer: -5*(o - 908)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-26)\/30 + 1). Let j be 2\/(-3)*(9 + c). Suppose -22*k**3 - 3*k - 10*k**5 + 7*k**5 - 23*k**3 - 9*k**5 - 21*k**2 - 39*k**j = 0. Calculate k.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkvkvkkkkkvkkvkkk.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbbbkxxgdg. Give prob of picking 2 g and 1 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42721 is divided by 8486?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -140 - (-44 + 45 - 69)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l**3 + 15*l**3 - 28 + 3*l**3 + 13*l**2 + 9*l - 30*l**3 - 40*l. Give r(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15)*j**(5\/4))\/(j**(-9)*j*j\/(j**(8\/7)*j*j)) assuming j is positive.\nAnswer: j**(-101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3202 is divided by 373.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrdrrrrhdhhhrhd. What is prob of sequence hh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-4 + 2) - (-566635)\/405. Let w = 1401 - i. Is w greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124883063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 9 + 16. Suppose -o + 3 = 5*c + 8, 2*o + 4 = -4*c. Solve o*k = h*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 3*t**4 - 4*t**5 + (-2 + 1 + 2)*(-3*t**5 + 2*t**5 + 6*t**5).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9312393 rounded to the nearest one thousand?\nAnswer: 9312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (6 - (5 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z - 13 = 3*o + 93*z, 5*o - 3*z = -28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 33*l - 20*l = 16*l + 1479 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3593\/4 + 918. Calculate the common denominator of b and (237\/140)\/(78\/65).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -14 - 28. Suppose 11 - 4 = 5*s + u, u - 2 = 0. What is the greatest common factor of i and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(1\/5))\/z)**26)**(1\/4))**(-40) assuming z is positive.\nAnswer: z**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3969809, 3969811, 3969815, 3969821, 3969829, 3969839, 3969851?\n\"Answer: a**2 - a + 3969809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 5. Let k(j) = -11*j - 45. Let q(n) = -k(n) + 6*m(n). What is q(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-24))\/((-2)\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -27. Suppose 5*l = 2*p - 0 + m, 0 = -4*p - l + 40. Suppose -w = -g - 29, -2*g = -2*w - 5*g + 48. What is the greatest common divisor of w and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10143 - 1480883\/146. Let z = -6595\/16 + 412. What is the common denominator of z and t?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 1322?\nAnswer: 30406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 16 (c) -3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.15 - 12.35. What is l rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*v - 25433, -25409 = -v - 4*v + c. What are the prime factors of v?\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/5 + 1047378*b**2\/5 - 110007453*b\/5 + 108960072\/5 = 0.\nAnswer: -349231, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Suppose -10*j + 749 + 581 = 0. Let s(l) = -18 - 1 + 22 - j*l**2 - 5. Calculate s(h(f)).\nAnswer: -532*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 3 + 1 - -4) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112.719 + 0.281. Let l = -113.000122 + j. What is l rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207\/(-6)*(-8)\/12*367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 3. Let g be i(4). Let y(u) = -6 + u**3 + 2 + 4 - 1 - 9*u**2. Let t(p) = -4*p**2. Let x be ((-8)\/12)\/(2\/6). Determine g*t(v) + x*y(v).\nAnswer: -2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 16704*g**2 + 66788*g - 200400.\nAnswer: (g - 2)*(g + 6)*(g + 16700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -15, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.99999962 - 28. What is b rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91749631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1085340 by -15.\nAnswer: -72356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 24*h - 1344 = 0. What is the hundreds digit of (131\/(-4) + -9)\/(3\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 292, 2 in increasing order.\nAnswer: 1, 2, 3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-13894)\/2040 + (-177)\/(-295) + (151\/51 - 3)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 10. Let m(l) = l - 1. Let f(i) = -b(i) + 3*m(i). Suppose 3*v - 3*j - 1 = 17, 3*v = j + 10. Suppose -v*h = -5*h. Determine f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1363 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -495, -1994, -4521, -8100, -12755, -18510?\n\"Answer: -4*y**3 - 490*y**2 - y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, p: 1, h: 2}. What is prob of sequence jp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 222321348.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43344442 (base 7) in base 15?\nAnswer: 4d3d47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -212*t**4 - 4*t**5 + 101*t**3 - 601*t**3 - 2200*t**3 + 2916*t**2 = 0. What is t?\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 3*w - 15*f - 32, -9*w + 238 = -0*w - 4*f for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9*t**2 - 3*t**2 + 4*t**2)*(t + 0 + 0).\nAnswer: -8*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -458?\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -78 (c) -1\/12 (d) -3\/4 (e) -0.5 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-8))\/((-20)\/8). Let f = -5.5 + -442.5. Let k = 448.16 + f. What is the second smallest value in 2, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11818.3 - 11818. Which is bigger: 189.8 or x?\nAnswer: 189.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -2.41.\nAnswer: -4.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*(-51)\/(-2856))\/(2\/(-16)*-2)*57.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p + 7. Let r be a(6). Suppose r + 113 = 4*q. Suppose -y = -2*v + q - 8, 3*v - 25 = -5*y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.01 times 38399?\nAnswer: -3533091.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 964953 - -17517045. Let w = i + -18482050.999922. Let m = -53 - w. Round m to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*b + 2*b - 15, 3*b - 3 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2250)\/35 + (-2)\/(-7). Let w = -66 - y. Let k(s) = 4*s**2 - 4*s + 1. Let b(g) = 3*g**2 - 3*g + 1. What is w*k(h) + 3*b(h)?\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.054 + -7.946. Let h = -7.4 - -0.4. Let x = t - h. What is the closest to 0.1 in x, -3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -146. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*6)\/(-3*sqrt(18)\/sqrt(3) - sqrt(6)).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3525 divided by -1?\nAnswer: 3525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(1\/(215\/1333))?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 + 13*t - 7. Let q = -38 + 32. Let u be x(q). Is u less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 4*m - 3*m)*(3 - 3 - m)*(-10 + 19 + 4) in the form g*m + r*m**2 + v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-62)\/6*-3. Factor -t**4 + 600*t**3 - 2185*t**5 + t**4 - 48*t + c*t**5.\nAnswer: -3*t*(5*t - 2)**2*(5*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-1\/30))**(-14\/3)*d**(4\/3)\/(d*d*((d\/(d*d**1))\/d*d*d)\/d)*d**4\/(d**6*d) assuming d is positive.\nAnswer: d**(-134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - t - 1. Let f(h) = 2*h**2 + 31*h - 1. Let c(x) = -f(x) + k(x). What is the second derivative of c(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 + 91 - (-6 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -7. Let s(n) = 2 - 10 + n + 8*n - n**2. Let g be s(h). Solve g = -5*y - 0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 8*z. What are the prime factors of 1*(134 + -11 + z + -4)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*o - 349*o + 1248 = 0. Calculate the highest common divisor of o and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (30205\/(-21))\/(-5 + (-14)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1312415 by -5.\nAnswer: 262483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/20 + s**4\/12 - s**3\/6 - 4*s**2 - 28*s. Let w = -47 - -47. What is k(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158821 + -49?\nAnswer: -15886a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 + j + 3. Let g be o(0). Solve -4*l - 1 = g*f, 4*f + l - 3 = -0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/390)\/(1555\/622)?\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661765 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138447273 and 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11*n - 26. Determine x(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and (63\/6)\/((-39)\/(-208))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6. What is the units digit of (-7)\/(-1) + (g - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10*i + 1. Let d be t(9). Let y = d - -21. Suppose -2*l + y = -z - 0*z, 0 = 2*l - 3*z - 19. Solve f + 0*f - l = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1573*h + 122510. Give j(78).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57299073 and 18.\nAnswer: 343794438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 19 = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -3265)*(-2000)\/6. What is b rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149 + 5568*l + 131*l**2 + 5356*l**2 - 149 + 483*l wrt l?\nAnswer: 10974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8780 - -8779.99891. Round o to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*z + 9 = 37, 2*c = z + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 273702780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.668759 micrograms to grams.\nAnswer: 0.000008668759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*3) + 3.\nAnswer: sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18071, 36193, 54339, 72509?\nAnswer: 90703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-12)*6\/4. Suppose z - 3*z + 8 = -j, 14 = 5*z - f*j. Suppose 0 = 2*r + 1 - 11. What is the lowest common multiple of z and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -12*i + 8*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1717660 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:58 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 5*w + 40 - 5*w - 2131*w**2 as o*w**2 + s + m*w and give o.\nAnswer: -2131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.083133 - 0.07313284. Let j = 0.01 + 0. Let f = g - j. What is f rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2112 - 5?\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-3 - -1 - -28) - -15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 1:34 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 - 9*f + 5. Let w be q(0). What is the third derivative of -6*g**5 + 3*g**3 - 27*g**2 + 9 + 23*g**2 + 2*g**w wrt g?\nAnswer: -240*g**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 25*m - 31*m = -26, 5*m - 35 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 870 - -1347. What are the prime factors of v?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 + 6*c. Let t be x(-6). Let d(h) = h**3 - h**2 - h + 5. Calculate the remainder when 13 is divided by d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5514 + 13161 - 6523)*(4 - 4 + 4) + 6 - 9 - 1)*(0*i - i + 2*i) to p*i + w and give p.\nAnswer: 4492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319466 is divided by 3236?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(240)\/((sqrt(96)\/sqrt(4))\/sqrt(4)))\/(-2*sqrt(64)\/((sqrt(88)*1)\/sqrt(11))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let n(l) = -l - 1. Let d(h) = n(h) + r(h). Let m(f) be the first derivative of 3*f**2\/2 + 2. What is d(m(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -18139 and -3573135\/197 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i**3 - i - 12. Let v(f) = -3*f**3 + 3. Suppose -144 + 706 = 64*b - 14. Calculate b*v(g) + 2*y(g).\nAnswer: -3*g**3 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqmm when four letters picked without replacement from {q: 4, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/(-80)*(-1)\/3. Let w(t) = -3*t - 4. Let v be w(-3). Put r, 0, v in increasing order.\nAnswer: r, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by 130.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - 4d?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/((-3)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 13\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39884, 39885, 39886?\n\"Answer: z + 39883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55900751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2 + 13. Suppose y*q - 30 - 9 = 0. Calculate the remainder when 24 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c + 1 + 10*c - 39*c + 10*c. Let n be r(1). Let s = n - -14. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + sqrt(245) + 3)*-5)**2.\nAnswer: 1400*sqrt(5) + 6521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2609*h**2 - 15*h - 2257. Let v(u) = -4*u**2 + u - 4. Let s(r) = -a(r) - 15*v(r). Differentiate s(q) with respect to q.\nAnswer: -5098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 1) + (-10 - -16 - 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1418, 808, -188, -1570?\nAnswer: -3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 2, c: 3, j: 3, z: 1}. What is prob of sequence aj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i = -21*i - 416 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*o**4 - 39*o**4 + 11*o**4)*(-o + o + 2*o).\nAnswer: 106*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229381637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 - -174. Let r(c) = -c - 8 + 2*c + 0*c. What is r(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 1225*u - 611*u.\nAnswer: 614*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + 4*i + 6. Let l be f(-4). Let x = -35 + l. Let d = -491 - -497. Calculate the remainder when x is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 57, 111, 201, 339, 537, 807, 1161?\n\"Answer: 2*t**3 + 16*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 18*v**2 + 35*v + 40. What is d(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(45) + sqrt(160)\/sqrt(8) - (4 + (0 + sqrt(5) - sqrt(5))*-6))**2.\nAnswer: -50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/8 - 4\/16. Which is the third biggest value? (a) -1 (b) 7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046476721 to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24698321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 0*s**3 + 2*s**3)*(-3 - 3 + 3) - 3*s**3 + s**3 + 0*s**3 + s**3 + 0*s + 0*s + 3*s**3 - 3*s**3 + 2*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p - 12. Solve -y + 25 = p*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -22. Let q(b) = 2*b**3 - 64*b**2 + 60*b + 66. Let u be q(31). Solve -k = 3*r - u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(85)*2 + sqrt(85))\/(-6*sqrt(20) + sqrt(5)))**2.\nAnswer: 2499\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1738936 = 96*i - 24913546 - 55067518. Round i to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8121, 8111, 8101, 8091, 8081, 8071?\nAnswer: 8061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177*r**3 + 3394*r - 3394*r.\nAnswer: 1177*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 less than -181069062?\nAnswer: -181069107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2483919 - 4967937 + l + 2484018.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 25456930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/67176 and 167\/104496.\nAnswer: 940464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94850*w**3 + 94845*w**3 - 189698*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**3 + 4*w**2 - w - 2. Let n(l) = -2*l + 0 + 9*l**2 - 5 + 3 - 13*l**3 - 3. Let s(h) = h**2 + 5*h - 2. Let a be s(-6). Give a*n(j) - 9*y(j).\nAnswer: 2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 519655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -45. Let n(v) = -v + 1 + 0 + 0. Let m be n(-2). What is the highest common divisor of m and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:11 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-51))\/(13511\/918748)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 38. Let o(n) = -2*n**2 + 4*n + 2. Determine o(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 6\/(-9)) - (-80)\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 11. Let k = -804 + 619. Let j = k - -180. Is j < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/18 + 14\/(-12). Let p = -2 - -5. Sort p, -2, h in decreasing order.\nAnswer: p, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*v**3 + 8*v**2 - 18*v**3 + 8*v**2 to the form x*v**3 + i*v + g + h*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**2 - 33*b - 2. Let h(x) = -5*x**2 + 17*x + 1. Calculate -11*h(l) - 6*y(l).\nAnswer: l**2 + 11*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 16, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m = s + 479, 5*m = -5*s - 2410. Suppose -14*f + 17*f - 2127 = 0. Let v = f + s. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*c**5*l - 4*c**4*l*u**2 - 26*c**2*l*u + c**2*u + 2*l + 2*u**2 wrt c?\nAnswer: 2700*c**2*l - 96*c*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/3)*r)\/r*r**0*(r*r*r\/r**(4\/3))\/r*r*r**4)**(8\/5) assuming r is positive.\nAnswer: r**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -1. Let v be (-12)\/(-28)*(1 + 0). Let r = -1.9 + -0.1. What is the smallest value in v, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -93 and -458\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/31 - 152\/217. What is the smallest value in 4, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11856 + -9067. List the prime factors of z.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1166.5 - 1165. What is the biggest value in 19, p, 0.1, 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 c when four letters picked without replacement from xxaxxaxcxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/60 - f**4\/24 - f**3 + f**2. Suppose 0 = -4*h + 5*v - 7 - 13, -16 = 2*h - 4*v. Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5\/18*21?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 11. Let i be f(3). Let p = -3.41 + 4.152. Let k = -0.042 + p. Which is the closest to i? (a) 0.4 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:52 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzbqgkkkqbgqkbbgq. What is prob of sequence ggbz?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 2. Suppose 0 = -5*w - 11 - 4. Let l be a(w). Calculate the greatest common divisor of l and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 608 and 20?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)*(4 - -1). Let j = 15 - z. Solve 5*v - 3*v - 4 = -4*f, 2*v - j = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -j - 4*j. Suppose 5*p - 4*f = -3 + 38, -2*p - 4*f = -14. Solve -j = -s, 3*m - 2*m + 2*s - p = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.095 + 30.845. Let s = 33 - r. Let z = -0.05999912 + s. What is z rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45539005.\nAnswer: 5, 17, 47, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 57. Let v be j(19). Suppose v = 10*o + 4*o + 84. Is o >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 - 32*t + 907. Determine b(25).\nAnswer: -3643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-2*(sqrt(475) + 2) - (sqrt(475) + -2 + sqrt(475) + 1 + sqrt(475))) + 5 + 2)*-6)**2.\nAnswer: -3600*sqrt(19) + 427644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*n - 8. Let a be (0 + 3)*(-5)\/n. Suppose 4*f = a*f - 8. Calculate the remainder when 14 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8075884.61 rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k = -90*k - 19*k + 1280 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 1 + 0)*(2*t**3 + 14*t**3 + 21*t**3).\nAnswer: -444*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -28400?\nAnswer: -1\/14200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 1033534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047460 is divided by 2333?\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.185658003\nAnswer: 0.185658003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -16*a**3 - 1 - 6*a**2 - 24 + 4*a + 30. Let w(f) = -33*f**3 - 13*f**2 + 9*f + 11. Let y(r) = 9*k(r) - 4*w(r). Calculate y(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -7, -1\/7, -1, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/8 + -3)*-74. Let a = -28 + c. Suppose -4*x + 56 = 4*s, s - a = -4*x + 14. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/7372 and 101\/36395564.\nAnswer: 36395564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16624 and 44.\nAnswer: 182864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u**2 - u**3 + 3*u**2 - 14*u**2 - 2*u**2 + 7*u + 80. Is j(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 0 = 4*w - 4, 6*y - 129 = w - 117 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 370052 equal to 370055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05833 + 5734.3211.\nAnswer: 5734.37943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1806 and 94156713.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 688, 1034, 1380, 1726?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - -51.9. What is the third biggest value in -2\/11, g, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:02 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 833*f*m**3 + f*m*y + 2*m**4*y + 4*m**2*y + m*y + 174*m + 2*y wrt m?\nAnswer: 4998*f*m + 24*m**2*y + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-64)\/(12800\/120)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from -26.662297.\nAnswer: -9.662297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38706*x**3 - 31*x**2 - 2504119*x wrt x.\nAnswer: 232236*x - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2476 or 31?\nAnswer: -2476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 59*w**3 + 28*w**2 - 98*w + 32. What is y(4)?\nAnswer: 3864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15575 and 143345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6299315\/22932 + -10715\/39. Find the common denominator of 53\/756 and x.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 38 + 86. Suppose -4*m = 2*q + 12, -i = -q - q + 3*m. Let f(c) = -4*c - c**q + 3*c + 12 - 9 + 2*c. What is f(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 93 = w. Let h = w + -27. Suppose 2*o = 4*d - 11606, h*d + 3*o - 11597 = 2*o. Round d to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:04 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102363 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 781.9639 - 782. What is j rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 0*a - 173 + 1532*a**2 + 170.\nAnswer: 1532*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29592 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: What is the third biggest value in -4, 0.4, -35, 20\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 + 8260*b**3 - 3266212*b**2 - 54264516*b - 50990040 = 0. What is b?\nAnswer: -15, -1, 558, 1523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36165867 is divided by 217?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8)*l**(2\/5))**(-1\/17) assuming l is positive.\nAnswer: l**(-1\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891 and 3465?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/9 (c) 2\/13 (d) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**4 + 109*c + 87*c - 117*c. Let q(o) = -19*o**4 - 159*o. Let w(j) = 5*k(j) + 3*q(j). Find the second derivative of w(f) wrt f.\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66244 or 1258634\/19?\nAnswer: 66244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 - q - 1. Give o(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4140\/14441 + 2\/2063. Sort 0.1, 56, t in decreasing order.\nAnswer: 56, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-130))\/((-2)\/((-20)\/(-9)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/68 and -47\/10946?\nAnswer: 372164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -36) + (-3 - 15 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 44478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*b - 530 - 424 + 354 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 111. Let h be q(-12). Let j = h - -929. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -183, 1, 2, 3 in decreasing order.\nAnswer: 3, 2, 1, -4, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r + 4*r - 11*r**2 + 25 - 3*r**2 wrt r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 1 + 11*h**3 - 3*h - 8*h**3 to the form u*h**2 + c + l*h**3 + d*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -27, -33, -35?\n\"Answer: 2*q**2 - 16*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99.6 - 100. Sort -1, d, 0.4, -2\/7 in increasing order.\nAnswer: -1, d, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:48 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10708818.\nAnswer: 2, 3, 19, 93937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 134*f + 1593. Give g(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 74a15f?\nAnswer: 74a162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/78*4)\/((-664)\/23738).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**3 - 19*d**2 + 2*d - 85. Let r(g) = 7*g**3 - 18*g**2 + 3*g - 86. Let p(s) = 2*r(s) - 3*t(s). Differentiate p(y) wrt y.\nAnswer: -12*y**2 + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -5*s**7\/21 + 127*s**6\/24 - 431*s**5\/12 + 1045*s**4\/24 + 175*s**3\/2 - 4*s**2 - 134*s. Suppose a(y) = 0. What is y?\nAnswer: -3\/10, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -24, 5*l - 5083 = -228*d + 227*d. What is the remainder when l is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.46024762 rounded to 3 decimal places?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -4*u**3\/3 + 150*u**2 + 304*u - 786. Solve q(h) = 0 for h.\nAnswer: -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/8 - 139*t**4 + 555*t**3\/4 + 139*t**2 - 1111*t\/8 = 0.\nAnswer: -1, 0, 1, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4424 and 37288.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 24*q**2 + 495*q + 518.\nAnswer: -(q - 14)*(q + 1)*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**3\/3 + 1573*i**2\/3 - 10232*i\/3 - 3052\/3.\nAnswer: -(i - 218)*(i - 7)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17 - 13 - 146 + 13 + n - 54 wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -34.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/(-6))*(0 - 1). Let w be 4 + -3 - 1 - r. Factor -2\/7*q**3 - 6\/7*q**w - 6\/7*q - 2\/7.\nAnswer: -2*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 2:31 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 21. Let x be n\/10 - (-21)\/(-6). Let g = 35 + x. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 + -1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + (5 - 3))) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 101100110?\nAnswer: 101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1662815*i**3 - 5*i + 6014 wrt i?\nAnswer: -9976890*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 16. Let q = x + -5. Let v = 10 + -6. Calculate the least common multiple of q and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530837 to the power of 1\/2, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15) + 64\/(-5). Let d = 18 + p. Suppose d = 2*t - 5*y + 19, -3*y + 18 = 2*t. Solve 8*i - 20 = t*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 442275 * 0.1.\nAnswer: 44227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, o: 1, c: 6, k: 1, q: 3}. Give prob of sequence cczz.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-9))\/(1\/(-1609)). Let o(f) = f**3 - 5*f**2 - 14*f + 1. Let a be o(-5). Let g = a + b. What is the third biggest value in g, 0.3, 0.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97.7 - 96.93. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -38, -56, -74, -92?\n\"Answer: -18*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/16)*u\/u**(-25) assuming u is positive.\nAnswer: u**(413\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112169.\nAnswer: 223, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7551*s - 7694*s + 6864 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10 = 0, 4*j = -3*l + 5*j + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/3, -0.5, -17, 0.1, -7, 0.15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2766403 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuupuunsunnu. Give prob of sequence su.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -403535352 take away -0.10066?\nAnswer: -403535351.89934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84053962 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1.59909 decades to years.\nAnswer: 15.9909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 150. Let w = v + -12. What is the remainder when w is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2050*c**2 + 18476*c - 186. What is z(9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1947, -14694, -49301, -116700, -227823, -393602, -624969?\n\"Answer: -1822*s**3 + 2*s**2 + s - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 7*b + 53*b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -a + 3*g - 11, 4*a - 17 = -5*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -672 (b) 1\/9 (c) 21 (d) 2 (e) -5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2\/33*v**3 + 0*v - 5\/11*v**2 + 13. Solve d(q) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, 3, 45, 113, 213, 351, 533, 765?\n\"Answer: c**3 + 4*c**2 + 3*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 2. Let x(u) be the third derivative of -5*u**2 + 1\/2*u**3 + 0*u + 0 - 5\/24*u**4. What is 3*d(r) + 2*x(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35307534 by -17653767.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - (sqrt(153) - 2*sqrt(153))))*-4*-1)\/(sqrt(54)\/(sqrt(30)\/sqrt(5)*3)) + -3.\nAnswer: -12*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 1. Let w(j) = -j**2 - 14*j + 12. Let v be w(-15). Give t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1426462 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1304, 1318, 1356, 1430, 1552, 1734, 1988, 2326?\n\"Answer: 2*g**3 + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4251 divided by -1417?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 157.8 and -140313749598.\nAnswer: -140313749440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*r + 262 = -255 - 323 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106195.61798 - -104346.458. Let w = 1849 + h. Let c = w + 0.16. Round c to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 5 + 838*f**3.\nAnswer: 838*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -13122232213?\nAnswer: -13122232203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 1\/2. Let j be (-9)\/(-21)*(-3)\/36*-8. Let s = -2 - -6. Which is the closest to u? (a) s (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or 12?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13377072 by -2.\nAnswer: 6688536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-105)\/(-54)))\/(((-63)\/(-98))\/(-3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5663496607 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 7065*n**4 + 328*n - 328*n - 7999*n**4 + (n - 2 + 2)*(0*n**3 + 5*n**3 - 3*n**3) to q*n**2 + m*n**4 + v*n**3 + l + r*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let r = s - -2. Let h be (2\/(-2)*0)\/1. What is the nearest to h in 0, r, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15498 = -2*n + 4242, 2*n = 3*x - 14819. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c = -2*x - 71*c - 8, 0 = 4*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeeeffmme. What is prob of picking 2 e and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(80\/15)\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-4)\/(-20)*(30\/14)\/3\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6))\/(y**(3\/8)*y*y) assuming y is positive.\nAnswer: y**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, h: 1, s: 1, v: 1}. Give prob of sequence osh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125407.5 + -0.78.\nAnswer: 125406.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - t - 14, -4*t = 3*l - 2*t + 2. Suppose l*x - 6*x + 180 = 0. Suppose 3*u - x = -6*u. Solve -d - u = -0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 4:08 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*z - 4*z**5 + 5*z**2 + 6*z**2 - 122*z - 110*z**3 + z**5 wrt z?\nAnswer: -180*z**2 - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102341.\nAnswer: 29, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -214.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5364 or -192847?\nAnswer: 0.5364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 5*k + 3. Let h(r) be the first derivative of r**4\/4 + r**2 + 2*r + 3. Let l(d) = -5*h(d) + 2*t(d). Differentiate l(x) wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80715650 to the power of 1\/2, to the nearest integer?\nAnswer: 8984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i. Let h(g) be the second derivative of -19*g - 1\/3*g**3 + 0 + 0*g**2. Calculate h(a(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 3\/5, 4, -104, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w**2 + 3 - w)*(41 - 41 + 20*w**2).\nAnswer: -40*w**4 - 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30023984?\nAnswer: 2, 1876499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 16*z**2 + 14*z - 7. Let q(i) = 8*i**2 + 8*i - 4. Let n = 263 - 270. Let s(u) = n*q(u) + 4*b(u). Let p(c) = 33*c. Calculate p(s(o)).\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3918, -4551, -5184, -5817, -6450, -7083?\n\"Answer: -633*v - 3285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (560\/(-12))\/(2\/(-3)). Suppose -8*d - 2*a = -12*d + r, -3*a + 3 = 0. Solve -4*l + d = z, -z + 6 = 3*l - 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 310 - 310.1. What is the biggest value in i, -72, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 83*t**2 - 318*t + 12663. What is k(81)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 t when four letters picked without replacement from {t: 9, s: 5, e: 2}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o - 4*o + 49 + 23*o - 170 - 10*o in the form g + d*o and give g.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 1. Let r(a) = -a**3 + 3*a**2 - 2*a + 1. Let j be r(1). What is p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n*x**3 + 51*n*x**2 + 8084*n*x - 4576672*n wrt x?\nAnswer: 3*n*x**2 + 102*n*x + 8084*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/(5\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -68. Let g be (z + -8 + 3)*-38. Let o = g + -49. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11144 and 195816.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = h + 13198*f - 13193*f, -56 = 4*h - 2*f for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 39, 69, 101, 129, 147, 149, 129?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 7}. Give prob of picking 2 y and 1 c.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420225 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2. Let s = -3 + 2. Let o be b(s). Factor -2*x**4 + 0*x**2 - 2*x**2 + o*x**3 + 0*x**4.\nAnswer: -2*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -771?\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 3. Let x(s) = 2 + 3*s - 1 - 2*s. Let y(d) = c(d) + 6*x(d). Differentiate y(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16230000 rounded to the nearest one hundred thousand?\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*m**2 - 3 - 666*m**2 + 3.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 2*x + 5. Let m(r) = r**3 + 7*r**2 + 2*r + 7. Calculate the remainder when m(-6) is divided by g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87818615 + -3?\nAnswer: -87818618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + -1a?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14\/(-1)*(12\/(-10) + (-4749)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {e: 2, z: 2, f: 1, s: 1, w: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, m: 8, u: 2, g: 1, p: 1}. Give prob of sequence gpu.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.42 + 666895.915534\nAnswer: 666899.335534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-2*-4)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**7\/112 + 227*f**6\/80 + 25989*f**5\/80 + 227925*f**4\/16 + 860625*f**3\/16 + 1265625*f**2\/16 + 238*f + 1. Factor q(u).\nAnswer: 3*(u + 1)**2*(u + 75)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261 - 60. Find the second derivative of 202 - 84*t**2 + t + 14*t - i wrt t.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475863.12s in hours?\nAnswer: 132.1842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.05, 29, 286, 6, 4 in ascending order.\nAnswer: -2\/9, -0.05, 4, 6, 29, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2. Suppose -2*f - 9 = -5*f, x + f = -1. Let r(p) = 0*p - 5 + 6*p - 5 - 1. Let z(h) = h - 2. Let b(y) = x*r(y) + 22*z(y). Calculate b(l(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36243 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1273 - -1981. Let r = z - 698. Solve 5 = -c, m - c - r = 6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 3. Let k(m) = -17*m - 13. What is -9*i(y) + 2*k(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192412 is divided by 7400.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**4 + 128003*q**3 - q**2 - 78*q + 76623.\nAnswer: -60*q**2 + 768018*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -q - 14*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15317819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j\/j**(1\/5)))\/j))**(-23)\/((j\/(j\/(j\/(j**(-5)\/j))))\/(j*j**(-3)))*((j*j**(-2\/7))**(-30))**(-1\/15) assuming j is positive.\nAnswer: j**(-1714\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 2*c - 6*c + (0 - 1 + 2)*(-2*c + c - 2*c).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 + 23862*o\/5 - 142348761\/5.\nAnswer: -(o - 11931)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -8*m**3\/3 + 5*m**2\/2 - 7*m. Let a be n(-4). Let o = a + -35. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*((c\/(c\/(c*c**(-9)*c)))\/c)\/c)\/(c**(-2)*c)**20 assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13267 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*((-54)\/(-12))\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrl when three letters picked without replacement from ztvrzvrvvzttzzvlvz.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 24*w**2 - 57*w - 20. Is 122 a factor of g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-167 - (16 + -8))\/1. Let n = -171 - y. What is the smallest common multiple of 270 and n?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from oaobobbaaaababbav?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 47*l - 531. Give m(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 8:50 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let x be (-6)\/(-2) + -6 + 8. Solve z - c = -x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288766339.\nAnswer: 288766339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:46 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**5 - 69*x**4 + 609*x**3 - 675*x**2 - 1350*x = 0.\nAnswer: -30, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 - 93. Calculate the remainder when s is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.906 - -0.506. What is the second biggest value in o, 1\/2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 5, 4, -0.4, 32.72, -2\/9?\nAnswer: 32.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*p**2*u - 3*j*p**2 - 2*j*p*u - 1008*j*u + 2*p**2*u - 5595*p**2 - p*u + 2*u wrt p?\nAnswer: 2*j*u - 6*j + 4*u - 11190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 23*j - 1. Let n(w) = 7*w. Determine m(n(c)).\nAnswer: -98*c**2 - 161*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r = -45 - 38 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 2*b - 3*o - 703, 3*o - 1846 = -4*b. Calculate the highest common divisor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5254\/111)\/(2 - (-82)\/(-42)). Suppose -101*s + 94*s + p = 0. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14592 at least as big as -15421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r + 1. Let f be s(2). Suppose 4*c = 4*w - 12, w - 12 = -f*w - 5*c. Suppose 2*h + u = 6*u + 139, -w*h = -2*u - 225. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s - 12*s + 26*s as c + t*s and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 24. Suppose 0*b + 81 = 9*b. Find the second derivative of 0*r**4 - b*r**5 + 0*r**4 + w*r - r**5 wrt r.\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 w when four letters picked without replacement from ssslssysylywyswwhw?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 624863 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 5*j + j. Let r(u) = -u**3 - 2*u**2 + 8*u - 3. Let s be r(-4). Let a = -6 - s. Let o(i) = -3*i. Determine a*o(f) - 4*h(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60776 - -5?\nAnswer: 60781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 434350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5895 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35\/198552?\nAnswer: 35\/198552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -515202.1645 rounded to the nearest one hundred?\nAnswer: -515200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.574 - -0.426. Which is the closest to 0? (a) -13 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01948716491 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - b + 337, 0 = -p + 6*b - b - 191. Let d be ((-42)\/49)\/(p\/(-84) - 2). Let t = d - 38. Sort 2, 3, t in descending order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*f = 23, 2*m + 3*f + 19 = -2*f. Suppose m*j + 15 = 3. What are the prime factors of j\/14 + (-72)\/(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3246 (base 8) to base 11.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 3689, 2, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 32. Is 30 a factor of c(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3447011 divided by -5?\nAnswer: 3447011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/3)\/(1\/3). Let j = -4 + r. Calculate the remainder when 27 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 0.48071698.\nAnswer: -0.01928302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*m + 13048 = 425*m + 831*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from sssqssssqq?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (673 + -675)\/(60\/(-8))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -6, 2, -2 in ascending order.\nAnswer: -6, -2, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 39, 5, 3 in increasing order.\nAnswer: 2, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3086069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -3714160.\nAnswer: -1114248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 3*f + 2520 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*s + 143 - 287 + 144 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:18 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 673 + -665. Let v(s) = 2*s**2 + 2*s + 1. Let t be v(-2). Solve 7 = -t*x - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 284.8 (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53536\/96 + (-1)\/(-3).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 15, k = -2*k + 3*u + 21. What is the units digit of k\/10*30\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -26*a - 248. Let d be r(-10). Solve -6*x = -3*x - d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -317*s**4 + 4*s**3 - 4*s - 83. Let i(q) = -318*q**4 + 3*q**3 - 3*q - 82. Let v(p) = 3*a(p) - 4*i(p). What is the derivative of v(w) wrt w?\nAnswer: 1284*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29868295 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 8:34 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 24*c + 19. Let t(d) be the third derivative of d**4\/24 - d**3\/6 - 6*d**2. Let k(l) = -5*t(l) + w(l). What is the derivative of k(u) wrt u?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-6 - -1 - (-4 - 8 - -12))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216595003?\nAnswer: 1567, 2052709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-156)\/(-1071))\/((-1)\/3). Let o = -851\/119 - p. Find the common denominator of o and -91\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11912 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273 + 274.11. Let o = k + -0.11. What is the nearest to 2 in o, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31, -9, -3, -33, 5 in descending order.\nAnswer: 5, -3, -5, -9, -31, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2 - 3 = 3*j, 3*i + 40 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23385, 3, 7 in ascending order.\nAnswer: 3, 7, 23385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o + 19. Let m be y(-3). Sort -3, 1, m.\nAnswer: -3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 + 0.3. Let f(s) = -s**2 + s. Suppose -5*w + o = -w + 5, -o + 5 = 4*w. Let m be f(w). Which is the second biggest value? (a) m (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 20. Let h be w(-20). Suppose -p + 179 + 103 = h. Suppose -3*v + 6*v = p. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*z = -21, j - 13 = z + 4*z. Let g be j\/(-9) + 55\/(-15). Let k(c) = 4*c + 6. Give k(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434296 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1468182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204584668 - -7364094457\/36. Let y = -26485 - d. What is the common denominator of -11\/24 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:17 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 + -2.9. What is the third biggest value in -2, -9, z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9451 + -62.9351. Let l = z - 0.01. Let d = -62.0041 - l. What is d rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26252862 divided by 17\nAnswer: -1544286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.349? (a) -0.5 (b) -193 (c) 0.3 (d) -1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n**4 - 7*n**4 - 4*n**4 - 29*n**2 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*u**3 + 4430*b**2*u**2*x + 3*b*u**3*x + 63*b*u**2*x + 4*b*u - 2*u*x wrt b.\nAnswer: -2*u**3 + 8860*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2899 (base 11) to base 13.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -47. Calculate the greatest common divisor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 3. Let a(l) = -l - 1. Let y be 42\/18 - (-3)\/(-9). What is y*p(r) - 5*a(r)?\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t + 1. Let c be a(3). Let u = c - -4. What is the third derivative of 0*r**2 - 4*r**2 + 6*r**2 - 4*r**2 + u*r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3793 - 0.0703. Let k = y - 0.30647. What is k rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63))\/sqrt(9) + sqrt(112)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2584243 kilometers in meters?\nAnswer: 258.4243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.0343525, 0 in decreasing order.\nAnswer: 1\/3, 0.0343525, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -23*s + 2. Let f be d(-3). Suppose -5*i + f = -4. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*9\/3 - 1. Let q = r + 10. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 93*b**2. Let j(f) = -189*f - 504. Let l(x) = 10*x + 27. Let z(c) = 3*j(c) + 56*l(c). What is a(z(t))?\nAnswer: 4557*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (9 + 1) - (-7 + 10)) + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 take away -31379?\nAnswer: 31525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*j + 8, 80 - 82 = -l - j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 72*n**2 + 144*n - 287. Let t = -22341 + 22411. Determine d(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 18 = -5*z. Let b = z + -7. Suppose 19*q - 18*q = -1. What is the nearest to b in 0, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j + 9. Let o be u(-7). Let l be (-19)\/o - (-3)\/12. Sort l, 4\/3, -0.3 in decreasing order.\nAnswer: 4\/3, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c. Let v be f(-6). Suppose 3*r + r = -3*m + v, 3*r - 110 = -4*m. What are the prime factors of 16\/7 - 12\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569079207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4)*-1)\/((1159\/342)\/61).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000599919 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/42*(-744)\/15810.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 78.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f - 2. Suppose 4*b + 3 = -r + 19, 0 = -5*r - 2*b + 8. Suppose -2*g + r*g = 0. Suppose g = 5*k - 5*s, k + 3*k + 2*s + 30 = 0. Calculate o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 + 378*b + 205450. Give i(244).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3\/3 - 3*t**2 - 5*t + 1. Let h be g(7). Suppose -9*n - 11*n + 60 = 0. Solve 2*d + n = 1, -h = -i + 4*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135840405 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64301874 and 7608237.\nAnswer: 1993358094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from gddggg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m**2 - 77*m**2 - m + 15*m**2 - 72*m**2 - 49*m**2 in the form q*m + y + n*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*z + 10*v + 92, 3*z + 5*v = 34. What is the greatest common factor of z and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -28461, 3\/11.\nAnswer: -28461, -8, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -67, -185, -399, -739?\n\"Answer: -5*n**3 - 3*n**2 - 8*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000089556 rounded to six dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3428.5021 rounded to the nearest integer?\nAnswer: -3429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -2*sqrt(130))\/sqrt(10) + sqrt(13))**2 - sqrt(13) - (sqrt(1872)*-2)**2 - (-1 + 1*sqrt(13)*-1).\nAnswer: -7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7252 - 5?\nAnswer: -7257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 278 = -3*r - 0*r, r = 2*m - 286. Differentiate m - 26*k**4 - 156 - 32*k**4 - 50*k**4 with respect to k.\nAnswer: -432*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 129*j**3 - 9*j**2 + 5. Let d(r) = 65*r**3 - 4*r**2 + 2. What is -9*d(o) + 4*p(o)?\nAnswer: -69*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/24 - 3*q**3\/2 - q**2. What is the units digit of d(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1063)\/(-204) + ((-2760)\/(-153) - 1854\/103)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -160*u**2. Let i(p) = -3*p. Give i(h(f)).\nAnswer: 480*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Let r = 534 - 535.1. Let y = 0.05 + 4.95. Put 0.3, r, y, o in decreasing order.\nAnswer: y, 0.3, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04947 rounded to 3 decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -16. Let u = -1.99 + 2. Let w = u - -1.99. Sort c, w, -2\/7 in decreasing order.\nAnswer: w, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/2 + 4*v**2 - v. What are the prime factors of n(-9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3000.82 and 124.4.\nAnswer: 373302.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 8\/2)*-3. Suppose 9 = 6*t - l. Solve t*a + 6 = -9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2606*u - 15090 = 760*u - 91532 - 100774 for u.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3) + 1*3. Let k = 3 - 0. Let l be (8\/6 + -1)*k. Is l at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*n**3 - 2 + 2*n**2 + 14*n**3 + 3 - n - 2*n**4 as b + u*n**3 + d*n + g*n**2 + z*n**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10101*h**3 + 25376*h**2 - 747*h + 83428.\nAnswer: 60606*h + 50752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -67 - 20. Let k = 130668 - 130666. Solve -2*j = -x + 7, 3*x + k*j + s = -2*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110012000 - 211?\nAnswer: -110012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/((-10)\/(1620\/18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2214 - 9090?\nAnswer: -11304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67109 is divided by 22202.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6437 by 41.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 6 = 23*h. Let f(l) = 2*l**2 + 4*l. Let j(r) = -r**2 - 5*r. Let k(d) = h*j(d) - 4*f(d). Find the second derivative of k(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 j, and 1 a when four letters picked without replacement from {j: 2, m: 2, a: 4, o: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxxxxxyxxx?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 337424?\nAnswer: -337427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2. Let d(k) = -7*k**3 - k**2 + 4*k - 12. Let c(h) = -6*b(h) + d(h). What is c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(2*j**2 + j - j) - j**2 + 2*j**2 + 0*j**2)*(-52*j**2 + 53*j**2 - 62*j**2).\nAnswer: 183*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46\/5 of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + b = 6*r + 5*b - 45, 273*b = -4*r + 65*b + 2084 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1526 - 1997 - 442)*(-1 - 2 - 2*n + 4) + (-2 + 2 - 2*n)*(-2 + 1 + 2) - 2 + 2 - n.\nAnswer: 7927*n - 3965","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 205*a**3 + 2520*a**2 - 9405*a = 0?\nAnswer: -627\/41, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1346724 and 165198144.\nAnswer: 495594432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 0.02, -0.2 in descending order.\nAnswer: 0.02, 0, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 8*g + 11*g - 72, -5*g + 44 = 2*n. Suppose -n*t + 1941 = -1431. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/60 - 19*i**3\/30 + 17*i - 2. Let q(w) = 0. What is w?\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 9*p - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34250928 divided by -2384?\nAnswer: 14367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10337 < -10332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = 4*h, -2*h = 2*x - 0*h. Suppose -m = -x*m - 6. Let o(g) = -g - 5. Calculate o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*w - 2, 0 = -4*v - 5*w + 3 - 12. Find a such that a**4 - 13*a**2 + v*a**5 + 26*a**3 - 21*a**4 - 3*a**2 + 6*a**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 4*c. Let k = 1 - 3. Let l be m(k). Let t(u) = -1 - 6*u**3 + u**2 + 4*u**2 - l*u**2. Determine t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5673 + 5673.0000003483. Round c to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119008081\/24 + -4959783. Let y = b - -1112. Find the common denominator of y and -83\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + d = 1 + 3, -4*r = 2*d - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7322061 and 10170?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 28*a**2 - a. Let q(o) = -410477*o. Determine v(q(z)).\nAnswer: 4717758290812*z**2 + 410477*z","meta":{"dup_signals":{},"source":"polynomials__compose_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 twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrrr when four letters picked without replacement from {z: 7, m: 6, r: 6}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.182 - 1.7\nAnswer: -1.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:30 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -3, -14, -43, -96?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/8? (a) -1\/7 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -291972*h**2 - 182838 wrt h?\nAnswer: -583944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 2232, 4.\nAnswer: -298, 4, 2232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*v = -153, -x + 4*v = 4*x - 259. Suppose 13*o - 20 = 9*o. Suppose x = o*a - 10. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.750862 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19.73526 nanometers?\nAnswer: 0.00000001973526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((820\/40)\/(-41))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.28, 227, -6 in descending order.\nAnswer: 227, 0.28, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100000110010100000 (base 2) to base 5.\nAnswer: 1401322201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.5 - -50. Which is smaller: -5 or j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107668 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + -141. Let z(v) = 109*v**2 + 9*v + 19. Is z(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 100502341 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + 2*y)*(2*y + 2 - 2) - 8 + 8 + 2*y**2 + 2*y + 2*y**2 - 2*y - y**2 - 1 + 1.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (0 - (-6)\/27). Let q = -53 - -56.7. Let h = q - -0.3. What is the nearest to -0.2 in -4, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19219 - 1107981.\nAnswer: -1088762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-108)*6*3\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -13 - -9) + 9 + -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-462)*924\/70.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*c - 7, q + 2*q = 4*c - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4972998*r**2 + 4646597 wrt r.\nAnswer: -9945996*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y**5 - 154216*y**4 - 1524176*y**3 - 1244184*y**2 + 125820*y = 0.\nAnswer: -3495, -9, -1, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44738974.\nAnswer: 2, 7, 3195641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 74583*u**2 + 148987*u**2 - 5 - 74395*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (252\/1260)\/(1\/(-30)*(-10)\/(-4))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0 - 1\/12*u**3 - 1\/15*u**5 + 0*u + 1\/1344*u**8 + 3\/32*u**4 + 7\/240*u**6 - 4*u**2 - 1\/140*u**7. Find t, given that b(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/n)**(-49))**(-2\/3)\/(n**(-1\/5)\/n*n\/((n\/(n\/(n\/(n*(n\/n**2)\/n*n)))*n)\/n)*n**(-1\/2)\/n**4) assuming n is positive.\nAnswer: n**(-319\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.566 + -0.57745. What is r rounded to four decimal places?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-4)\/2)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 45*k - 40*k + 21*k.\nAnswer: -64*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - sqrt(80)*-3) + sqrt(80))\/sqrt(4)*5)\/(2*sqrt(256)*-3) + 1.\nAnswer: -25*sqrt(5)\/48 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1593)*(3852\/(-72) + 58)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 62 - (1 + 32) - (11 - 19)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 4.9803864.\nAnswer: -5.4803864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 8, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:13 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/24 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p**4\/2 + 1879*p**3\/4 - 94395*p**2\/4 + 2103325*p\/4 - 17535875\/4 = 0 for p.\nAnswer: 409\/14, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**4 - 2*u**2 - 3*u - 11*u**2 - 4*u**3 - 2 + 13*u**2 to the form m*u + q*u**4 + i*u**2 + z*u**3 + s and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -5 (c) 7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - 225?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788451066?\nAnswer: 2, 3, 13, 461, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15676 + -15671. Solve 0 = 11*r - 15*r + y*l - 37, -2*r = -2*l + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 25 + 28)*(-6 + 3 + 1)*(0*r**3 + 0*r**3 - 2*r**3) in the form f + g*r**3 + i*r + b*r**2 and give g.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -634 + 348. What is k rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265516985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145193 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1320 by 330.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/4 - 19*l**4 - 133*l**3\/4 + 553*l**2\/2 - 79*l - 370 = 0 for l.\nAnswer: -74, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1937*k + 36 = 1941*k. What is the smallest common multiple of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(4\/(-18) - (-1837215)\/8272935).\nAnswer: 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lra when three letters picked without replacement from {r: 1, a: 1, l: 2, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7*3.58\nAnswer: 25.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = 0. Suppose p = 4*j - 2*d - 46, -5*j - 1 = 2*d - 63. Solve 4*c + 4 = -j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/9 + 2*h**4\/9 - 100*h**3\/9 - 164*h**2\/9 + 610*h\/9 - 350\/9 = 0.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*i**3 - 435*i**3 - 557*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-8\/7)*c*c*c)*c)\/c**(-9))\/(c**7\/(c*c**5*c)) assuming c is positive.\nAnswer: c**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*c + 45 = 0, g = -4*g - 2*c + 35. Suppose v + 11 = g*o, v - 2*o + 14 = 3*v. Solve -z + 15 = -v*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/32*-24*(0 + 3). Suppose u*p + 48 = -87. Sort 57, -4, p in descending order.\nAnswer: 57, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 7*a - 9. Let v be y(3). Solve 0 = -3*c - 5*n + v*n - 6, 0 = 3*c - 5*n + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 6. Let i(x) = x + 5. Let t(a) = 3*i(a) + 2*y(a). Let k be t(0). Find the second derivative of 8*n + 0*n**3 + 3*n**3 + 16*n**4 - 3*n**k wrt n.\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/42*14*3\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.21326t to grams.\nAnswer: 75213260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2238*o = -2243*o - 60, -15*c + 1050*o = 1054*o - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4084828.\nAnswer: 2, 11, 17, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-33) + (-125)\/3. Let s = c + 127\/3. Find n, given that -s*n**2 - 1\/3 - 2\/3*n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*d = -a + 513, -5*a + 5*d + 2590 = 0. Let z = a + 1034. What is the common denominator of (-4)\/(-18) - z\/540 and 107\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-645)\/2150)\/(-2*3\/(-116))\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 34 = -22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -2)\/((-9)\/(-21)). Let s be g\/2 + 24\/16. Suppose -s*b - 16 = -2*w + 61, 9 = -3*b. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5841394.\nAnswer: 2, 13, 224669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*w + 76*w - 147*w + 81*w**3.\nAnswer: 81*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 12*g - 16. Let s be t(-10). Suppose -3*o + 16 = 3*z - 8*z, -s*o = -3*z - 36. Solve o = -3*l + 3*d - d, d = 3*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/59)\/(p*((p*(p\/p**2)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(120\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 + 585 = 131*i - 758 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.61 - 4?\nAnswer: -102.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16*t**3 + 28*t**2 - 28. Let v(r) = -r**3 - r**2. Let j(f) = f**3 - 7*f**2 + 5. Let o(h) = j(h) - 2*v(h). Determine -5*i(w) - 28*o(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -62. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -7866, -29223, -70812, -139377, -241662?\nAnswer: -384411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*2765\/15484?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 232269*n**2 + 14*n + 11. Let w be u(-15). Let z = w - 346642740866\/6633. Let m = z + -2\/737. Which is the closest to 0.2? (a) m (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212111212010 + 22?\nAnswer: 1212111212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 28 = -66*r. Solve -r*c - 28 = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02757 - -0.02757. Which is smaller: v or 108.9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0691464 minus -4.4?\nAnswer: 4.4691464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 193*m**2 - 325*m + 41. What is the thousands digit of w(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110001101000 (base 2) to base 14.\nAnswer: 276c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/6 + 6)\/(1\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2587*v - 7800. What is j(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24814609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (6 + -15 - (7 + -19))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 174273718 rounded to the nearest 1000000?\nAnswer: 174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c + 249. Let o be w(0). Let b = o + -170. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5232\/(-12780) + 2\/5. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -20. Let o be -1 + (-1)\/(-1) + y. Let t be (-14)\/21*3\/o. Which is the closest to 0.1? (a) t (b) -5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllrczzlzznczllnn. What is prob of sequence zr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let o(v) = v. Let d(w) = 6*o(w) + 3*p(w). Let r(z) be the first derivative of 3 + 2 + 5 - 4 - 2*z**2. Calculate r(d(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose d + 16 = y*d. Let o(k) = k - 3. Let m(j) = -j + 4. What is d*m(c) + 5*o(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y - 25. Let q be m(4). Suppose 4*x = 19 - q. Let f be (78\/(-12) - -2)\/(21\/x). Is -1 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.9082004 times -0.2\nAnswer: 1.38164008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -19*q - 57. What is the tens digit of i(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/(2\/4). Let v = -3 + k. Suppose v*p = p + 3. Let l(g) = -2*g. What is l(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 42*t + 3. Let i be y(10). Suppose -4*f + 86 = 2*z, 333 = z - 3*f + 280. What is the greatest common divisor of i and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*2 - (sqrt(153)*-2 + sqrt(153))*1)\/(2*sqrt(36) + (sqrt(9)*1*4 - sqrt(9))).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10707, 10708, 10709?\nAnswer: 10710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*4\/(-8) + -16 + 34\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136990 and 206.\nAnswer: 136990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19085\/6 + -95401\/30. Which is the fourth smallest value? (a) 0 (b) m (c) 1\/4 (d) 1 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2417 - -4174. Suppose 4*a - p = -3*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25706 - -32402. Is 31 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6048 and 34209.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/12030)\/((-164)\/4305). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 919.4797 micrometers?\nAnswer: 0.0000009194797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-10) + 2\/(-5). Suppose 5*a - a = x*k + 106, -a - 3*k + 23 = 0. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 13 + 13 - 8*d**2 + 2*d**5 + 78*d**4 - 78*d**4 - 3*d + 2*d**5 + 3*d + (-15 + 11*d + 15)*(2*d**4 + 3*d**4 - 6*d**4) - 4*d**5 - 2*d**5 + 3*d**5.\nAnswer: -12*d**5 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/4)*w**(-3\/5))\/(w*w**2*w**(1\/3)*w))\/((w\/(w\/(w**(1\/3)*w)))\/w**0*(w**1)**(4\/7)) assuming w is positive.\nAnswer: w**(-2347\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 40*b - 152. Let y be w(5). What is the greatest common divisor of y and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + 9 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 593476 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4869114098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3952, -3958, -3970, -3988, -4012, -4042?\nAnswer: -4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9957*d - 9584 wrt d?\nAnswer: 9957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2\/5, 4, 1 in ascending order.\nAnswer: 2\/5, 1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 19487.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 2830\/80 - 18.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1653600 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (210\/63)\/(2\/81). Calculate the greatest common factor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -922, -1377, -1850, -2347?\nAnswer: -2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.2. Let n = -40 + 39.8. Let o = -0.1 + -1.9. Which is the closest to n? (a) m (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 7*i + 4. Suppose 0 = 5*q + 4*c - 25, 3*q + 3*c = -2*q + 20. Suppose 4*s - 2*s + q = -3*l, -l - 19 = -2*s. What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (5 - 9) - 6) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one fifths of a centimeter?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13266426287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21576 and -87\/5468.\nAnswer: 29494392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**3 + 9*u**3 - 3*u - 8*u**2 + u**4 + 2*u as i*u**4 + l + z*u**3 + b*u + t*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12672641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -77\/6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2805 - 12?\nAnswer: 2783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -2, -23, -52?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 304 = 5*h, -2*f - 242 = -0*h + 4*h. Let x = h - -77. What is the greatest common factor of 119 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -369 - -705. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1571251, -4, -5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y. Let g be (-5 - 0)*2\/(-5). Let o(i) be the third derivative of -1\/24*i**4 + 0 + 47*i**2 + 0*i + 0*i**3. Give g*z(b) - 7*o(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1444 and 3664.\nAnswer: 1322704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let x = 13 - d. Calculate the remainder when ((-14)\/21)\/(1\/(-48)) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73d1faa8 + -3?\nAnswer: 73d1faa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11314)\/20 - (-36)\/60. Let i = w + 2257\/4. Calculate the common denominator of i and 4\/(-10)*(-830)\/(-64).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 0.16. Let k = m + -0.3. Which is the nearest to -2\/5? (a) k (b) 0.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110058*k*m**3 - 2*k*m**2 + 536945*k*m - 2*m**3 - 6*m**2 wrt m.\nAnswer: -660348*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + 1*(-2 + sqrt(175) + sqrt(175)))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7056*k = -7058*k - 6*j + 20, j - 25 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3042 + 1?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 742, 1421, 2022, 2545, 2990, 3357, 3646?\nAnswer: 3857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.5520202 to two dps.\nAnswer: 42.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411b5 (base 13) to base 7.\nAnswer: -664255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 5*q - 70 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + 44 - (-883 + 909)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*k + 14, -k + 3*q + 5 = -3*k. Let j(s) = -k - 13*s - 14*s + 5 + 18*s. Determine j(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d - 29*d - 100 = -3*p, 120 = -2*p + 6*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.93 + 2.97. Let j = -3.842 + t. Let y = -0.358 + j. Which is the second biggest value? (a) -4 (b) y (c) 5\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(9\/(-6)) + 7. Let b be 2*17 + 2 - 1. Suppose -4*r = -z - b. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q - 1. Let t(r) = 4*r + 1. Let o(p) = -3*d(p) - 5*t(p). Let v be 1*-2 + -1 + 8. Calculate the remainder when o(v) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -206 - 106. Let i = g - 42. Suppose i*v - 5*v = 2815. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 + 11\/((-308)\/(-260)). Let h be (-10)\/15*(j\/2)\/(-3). Solve -2*y + 4 - h = l, y = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57*(-86)\/308826)\/((-24)\/(-28)*1).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 10*n**2 - 10*n + 14. What is i(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = -0*h. Suppose 4 = h*v - 4. What is the third derivative of n**2 - 2*n**2 - 2*n**3 - n**3 + 3*n**v wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/348 and -65\/189.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269 or -107450\/401?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 2, j: 1}. What is prob of sequence jf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1035 - 1034.413. What is t rounded to two dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2997652 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8000 and -19\/13280000.\nAnswer: 13280000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f - 235 = -265 - 447. Solve -10*c + 5 = -f*c - 3*w, 2*c = -3*w + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*b + 23 + 49, b + 54 = 3*k. What is the smallest common multiple of k and -1 + 15 + 2*-1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.077 + 4.077. Let p(m) = -m**3 + 7*m**2 - 7*m + 8. Let l be p(6). Which is the second biggest value? (a) l (b) 2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.4, -1\/3, 10, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-6 + 4*c**4 + 6) + (c + 2*c**2 - c)*(922*c - 473*c - 451*c + 3*c**2 - 1687).\nAnswer: 14*c**4 - 4*c**3 - 3374*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 1571 - b**2 - 298 + 1693 - 298 to the form d + l*b**2 + m*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-20))\/((-4)\/70). Let f = o + -9. Which is smaller: f or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -2976.\nAnswer: -2976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011201 (base 4) to base 9.\nAnswer: 24856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from bbbfbpbppbbf?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 35 = -q. Suppose -2*p = 2*x - 412, -q*x = -2*x - 5. Suppose 4*k - 70 + 30 = -b, -4*b + p = k. Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 4 = 5*f + 18*v, -5*f - 8 = -3*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:59 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4 - 12*d**3 + 300*d**2 - 548*d + 264 = 0.\nAnswer: -11, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.06 (b) 0.999 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, u: 1, l: 1, n: 1}. What is prob of sequence un?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36926.\nAnswer: 2, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u - 4. Let q be d(6). Let t = q + 31. Let h = 33 - t. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, -3\/4, 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + b92a355?\nAnswer: b92a34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s + 42. Suppose 0 = -5*i + 96 + 69. Let u = s + i. Calculate the remainder when 35 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + 3*s**4 + 5*s - 146 + 2*s**3 + 147 to the form o + b*s + c*s**2 + q*s**4 + u*s**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = 4*p + 5, 3*p - 2*a + 22 = 0. Suppose 0 = 2*z - 6, -4*z + 11 = -2*l + 3. Let m = l - p. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120920294*x**2 + x**3 - 120920294*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 269062813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8005.67492295 and 0.5.\nAnswer: 8006.17492295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6936679 and 6083309?\nAnswer: 12191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**3 - 2*h**2 + h + 2. Let q(v) = 12*v**3 + 6*v**2 - 3*v - 5. Calculate -3*q(w) - 7*z(w).\nAnswer: 6*w**3 - 4*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1797 + 2899. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 152*l - 1388. What is k(8)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - -3 - 1*2. Suppose -19 + 39 = p*h. Suppose 2*g - 4*c = -h, -g + 5*g - c = 13. Let b(z) = 2*z + 4. Let r(f) = f + 1. Give g*r(u) - b(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -99, -10, 1 in descending order.\nAnswer: 22, 1, -10, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/75, 2, 0.010422?\nAnswer: 0.010422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2845256 to 2 decimal places.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/60 + 7*j**4\/12 + 5*j**3\/3 - 5*j**2. Let z be d(15). Let p = z - -11. Which is bigger: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 56, -1, -3 in decreasing order.\nAnswer: 56, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 14640000 = -29*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2. Let v(t) = -10476*t + 20031*t - 10042*t. Give b(v(k)).\nAnswer: 948676*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 59*z**2 - 37*z + 34. Let d be a(-8). Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74125004 - 32.\nAnswer: -74125036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 54*i - 3 = -159. Suppose -5*j + 2*j = 0. Sort j, i, -5 in ascending order.\nAnswer: -5, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.42629us to seconds.\nAnswer: 0.00009342629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a + 7. Let n(s) = 14*s + 13. Let d(f) = f. Let m(w) = -5*d(w) + n(w). Let u(t) = -7*i(t) + 4*m(t). Differentiate u(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.93. Let k = s + -1.47. Let m = -0.5 - k. Which is the nearest to 0.1? (a) m (b) 1\/3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*x + 2*x - 13*x = 752 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*t. Solve 0 = 2*z - t + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7056 and 218844.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/35, 3, 1036\/15, -84\/13?\nAnswer: 1036\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2702 + -29746\/11. Let s = 58125\/16 - 3645. Let g = 12 + s. Calculate the common denominator of u and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 18*y - 30 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*r + r = -14, -2 = 5*b + 3*r. Let j(h) = 3*h**2 - 3*h + 3. Let z be j(b). Suppose 21 = 2*t + z. Solve o + 15 = t*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from wllltyllgltllglglll?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-5)\/o)*o\/o**(-1)*(o\/o**(-1\/2))**26*o**(-1\/2)*o*o*o**(-5)*o*o*o**5\/(o*o**(-6\/7)) assuming o is positive.\nAnswer: o**(719\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1136*q**5 + 47*q**3 + 8661944*q.\nAnswer: 22720*q**3 + 282*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b*h*v + 14*b*h - 2*b*v - 35*h*v - 76*h wrt b?\nAnswer: -7*h*v + 14*h - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + -0.4. Let o = h - -2.5. Let b = 0.6 + o. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3312000 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17584 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306504779.\nAnswer: 7, 43786397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*a - 34*a - 15627. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {q: 3, d: 3, j: 2, h: 1, s: 2, w: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + o - 70 + 205 - 65.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370464 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - m - 2*m = 58, 2*m - 53 = -5*r. Suppose 5*b + r = q, 4*b + 16 = -2*q + q. Let z = 37 - 36. Put b, -5, z in ascending order.\nAnswer: -5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**27*v)**(37\/3))**(-2\/3))**(4\/17) assuming v is positive.\nAnswer: v**(-8288\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 14. Let y(g) = g - 7. Let d be y(14). Which is bigger: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -85*f - 19768. What is w(-231)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 3*i**2 - i**2 + (2 - 3 - 1)*(0*i**2 - i**2 + 4*i**2) + 3 + 5*i**2 - 3 + 4*i**2 + 9 - 9.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10*8\/(-60)*(-96 + 114)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, 7, -1, -4 in descending order.\nAnswer: 7, 3, -1, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*((sqrt(77)*-3)\/sqrt(7) + sqrt(110)\/sqrt(490) - (sqrt(88) - -5*(sqrt(88) + 1*sqrt(88)))\/(sqrt(8) - -2*sqrt(128)))**2.\nAnswer: 721247\/1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17819308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -296.52 and 0.4?\nAnswer: -118.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1883+112203567.04\nAnswer: 112201684.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a - 8. Let p be a + 6 + -7 - 32. Let j = -38 - p. Is 0 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/3 - 324852*s**2 - 7796396*s\/3 - 3898192 = 0.\nAnswer: -974548, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let h be ((-3)\/6)\/(v\/14). Let y(w) = -w**2 - 23*w - 111. Let i be y(-7). What is the greatest common divisor of h and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11167417 - 0?\nAnswer: -11167417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 623 - 623 - m**2. Let u(r) = 77*r + 25*r**2 - 56*r**2 - 75*r. What is u(g(n))?\nAnswer: -31*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hauuhahuhuu. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*o - 44, 2*z + o - 114 = -3*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 880 = -5*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532203353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4740 * -4.\nAnswer: -18960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714\/92 - 12*(-8)\/(-192)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 1, -2, -3.\nAnswer: -112, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 114459*k**2 - 2 + 1.\nAnswer: 114459*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Suppose -i = -0*i + f. Let x = -2 - i. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6932, 6928, 6924, 6920, 6916, 6912?\n\"Answer: -4*r + 6936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 22. Let k be d(0). Which is greater: k or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -1375, -2780, -4405, -6052, -7523, -8620, -9145?\nAnswer: -8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4733058 divided by -3?\nAnswer: -1577686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-105))\/((-1)\/3). Put -4, -2.6, l, 2\/17 in increasing order.\nAnswer: -4, -2.6, l, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.04 + 0.04. Let z = r + 87. Let o = z + -39.999949. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 56053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6014?\nAnswer: -6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-3\/14)))**(2\/43)\/((p*(p\/(p*p*p*p**(5\/7)*p*p))\/p)\/p**(-23)))**(-32) assuming p is positive.\nAnswer: p**(176032\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*l*s**2 - 3*f*l*s + 2*f*l - l + 313*s**2 - s wrt s.\nAnswer: -4*f*l + 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 + -96373475\nAnswer: -96373475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50041317 is divided by 8343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.1. Let x = -929\/3 + 6494\/21. What is the closest to -2\/3 in c, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.99 + 7.73. What is the smallest value in 3, -1\/6, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z**2 + 3*z + 6. Let u(d) = 16*d**2 - 2*d - 5. Let h(b) = -5*a(b) - 6*u(b). Let t(c) = -c + 1. Calculate -h(v) + 2*t(v).\nAnswer: 6*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12633651 is divided by 480.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s - 10 + 10 + (-2*s + s + 3*s)*(-1 - 1 - 2) - 2 + 2 + s to y*s + i and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(200) - sqrt(200).\nAnswer: -60*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2536 divided by 8\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 = 4*z - 7, -z + 5*s - 4 = 0. Solve w = -w + z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -4.1796.\nAnswer: 3.7796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**7\/1260 + 179*x**6\/720 + 8*x**5\/15 - 22*x**2. Let r(v) be the third derivative of g(v). Is r(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a9 (base 11) to base 13.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r - 16. Let s be u(3). Let k be (1194\/s - (-2 - -3)) + 0. Let o = k + -84. Which is the second smallest value? (a) 14\/9 (b) -3\/2 (c) o (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1622\/165 + -49\/5. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 13. Let o(t) = t + 4. Calculate -2*n(i) - 7*o(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:58 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 6 = 7*t. Suppose t - 3 = -5*b. Sort -4, -1, 49, b.\nAnswer: -4, -1, b, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72 + 0)*(-321)\/(-214). Let q be 45\/k*24\/(-9). Solve 10\/9*o**3 - 2\/3*o**5 + q*o**2 - 4\/9*o + 0 - 10\/9*o**4 = 0 for o.\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**7\/105 - y**5\/60 + y**2 + 1. Let z(q) be the second derivative of n(q). Find the third derivative of z(x) wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.000001584 + -41. What is j rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 7) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/2)*u\/u**3*u**5*u**(-2)*((u**0)**(-1\/48))**(-48) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7238)\/44*(-148)\/(-259).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*v + 52, 56 = 5*y - 6*v + 8*v. What is the remainder when (24\/10)\/((-6)\/(-105)) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 936\/11 - 49586\/583. What is the nearest to -0.2 in 20, -3, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*x - 270 + 123*x + 62*x as a + z*x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*j**2 + 42*j**2 - 5*j + 53*j - 19*j**2 in the form n*j**2 + o*j + l and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -77*x**2 + 2*x. Let g(a) = 16*a**2. Determine i(g(j)).\nAnswer: -19712*j**4 + 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52672 is divided by 595.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*f**2*q + 14*f**2 - 4*f*q - 61556*q with respect to f.\nAnswer: 18*f*q + 28*f - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = 4*j, -2*p + 3*j + 0*j = -18. Solve 0 = -p*w + 5*i - 12, -18 = -3*w - 4*i - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366 (base 11) to base 16.\nAnswer: 1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-10)*292\/(-1168).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d + 318 = 30 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7956)\/(-2431))\/((-3)\/22).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11356 + 11356 + 2868*p.\nAnswer: 2868*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-21))\/((-3726)\/1932)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/358 and -81\/22.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81383 - 1?\nAnswer: -81384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 0.8, -1.14 in decreasing order.\nAnswer: 0.8, -2\/25, -1.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/12*q**4 - 3\/2*q**2 + 17*q + 0 - 1\/3*q**3. What is the units digit of a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 11 - 11 + 5.\nAnswer: 2*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -5*x + 14*f + 40940, 2*f + 24559 = 3*x. 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 prob of sequence lcl when three letters picked without replacement from cnllacnll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 967 = 927. Solve -14 - g = 6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {f: 2, t: 4, y: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 85 = -10*g - 126, -1 = v - 3*g for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 4. Let t = 32 + -31. Let i be 70\/(-22) + m + t. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -627656 + 627656 + 1331*h in the form w*h + p and give w.\nAnswer: 1331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = -11. Let i be -14 + 13\/(78\/12). Sort 5, i, s in descending order.\nAnswer: 5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) + sqrt(66)*-1*-6))\/(1*sqrt(6)*2*6).\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -152784.1 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let w be (-10)\/i + (-4)\/12. Solve 0*s + 3*s + w = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - k - 1. Let w(i) = 8*i - 93. What is the remainder when h(-2) is divided by w(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 326083*b - 3643419 wrt b.\nAnswer: 326083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 757 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 602 and 19121584.\nAnswer: 133851088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 693225 a multiple of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5 - 1. Suppose 2*r = -1 - 5. Sort -4, s, r in decreasing order.\nAnswer: s, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2139857 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 121*k**2 - 406 + 104 + 128*k**2.\nAnswer: -2*k**3 + 7*k**2 - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/28 - 13392\/28. Let k = b - -484. Solve 0 = 5*o - 15, 0*r - 3*r + 4*o - k = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 469?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6392*q - 6403*q = 0. Put 6, 2, q, 4 in ascending order.\nAnswer: q, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290971127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r + 611. Calculate s(119).\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-88)*11*9\/81?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-897)\/(-46) - 20)\/((30\/(-35))\/(12\/(-63)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:32 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -267, -265, -263?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.4 + -5. Let n = 54 - -35. Let y = n - 87. What is the third biggest value in 2\/59, f, y?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 15*r**2 + 15*r + 66. What is the hundreds digit of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnnnknknkknn. Give prob of sequence mnnk.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 32. Let m = a + -32. Calculate the smallest common multiple of m and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -736, -736, -734, -730?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 314967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 259 (b) -1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2212 times 1157.64\nAnswer: 2560699.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3035\/132 + 15\/44. Let m = -23 + t. Put 4, m, 2 in ascending order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:01 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -233 in -3, 1, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-2 + 2 + -5)\/1. Calculate the greatest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 188809.\nAnswer: 188810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 14) + -12 + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 23.2?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -k + 23. Find the first derivative of 27*v**4 - 45*v**4 + 5*v**3 - k*v**3 + 12 wrt v.\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**6\/18 - u**4\/12 + 3. Let k(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(4\/(-3))\/(342\/(-27))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -3 + 3*(sqrt(5) + -2) + 0.\nAnswer: -9 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590312.7 millennia to years.\nAnswer: 590312700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/120 + v**5\/20 - v**4\/3 - v**3\/3 + 29*v**2. Let r be l(3). Suppose 0 = 6*d + r - 910. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**6 - i**3. Let g(a) = 30*a**6 + 12*a**3 + 14*a**2. Let m(p) = g(p) + 12*x(p). Find the third derivative of m(b) wrt b.\nAnswer: 2160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 7*s)*(-s - s + 3*s) + s - s - 3*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 697 + -608 + (2 - 157)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 25 = -5*d, -2*d - 2*d = l - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*g**3 - 2*g + 1 - g**2 - g**4 + 368*g**3 as p*g**2 + x + l*g**4 + h*g + c*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/10)*(b**9\/b)\/b)**22\/(b**(1\/3)\/b**(-6)*(b*b**(-4))\/b**(-2)) assuming b is positive.\nAnswer: b**(2329\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*z**3 + 2 - 3 - 5*z as f*z**3 + b*z + h + t*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 8 = 10*r. Factor -60*m**r + 22*m - 216 + 6*m**2 - 3*m**3 - 193*m + 12*m**2.\nAnswer: -3*(m + 3)**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10*k + 2*k + 5*k)*(0 + 1 + 1) - k + 0*k - k)*(-1 + 1 + 1).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - b - 2*b - 5*b + 13*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1453.96l?\nAnswer: 1453960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 11:59 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 5 - 110)*(-2*g + 0*g - g) - 1 - 2*g + 6*g + 5*g + 2*g + 11 in the form w*g + j and give w.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 598206990444\/2629 - 227541650. Let p = g - 22\/239. Find the common denominator of p and -101\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1101001101?\nAnswer: 1101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1161001 or 1161000?\nAnswer: 1161001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199412 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*i**2 - 136*i**2 - 4*i**3 - 125*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 - (-5 - -5)) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/24 - (-977)\/4. Let i = f + -157. Suppose 3*t - i = -4*w, -5*w - 3*t + 0*t = -110. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - j - 1 = 0, 3*j - 25 = -3*g + 7*j. Suppose -g*k + 20973 = 3105. Suppose 11*z + k = 69261. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:48 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t + t)*(4*t - 4 + 4)*(-t + 2*t - 2*t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418449 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 685, -147, -1\/2, 2\/33?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 19422 = 4*r, 2*r + 7*s - 2*s = 9731. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 1 = 0. Let n be u + (-15)\/(-3)*4. Let k = 6 + -2. Solve k*m + n = 5*g, -3*g + g + 18 = -4*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 1 (c) -2\/7 (d) 18 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 20487.\nAnswer: -81948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + 10*a + 2. Let c = -2479 + 2477. Give t(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 - 6*j + 3. Let b be h(-6). Let u(f) = f**2 - 6. Let x be u(b). Solve 0 = -5*m - 25, -x*p + 3*m + 17 = -m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (13 - 18 - -10)) + (-95 - 37)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 63406.12 tonnes?\nAnswer: 63406120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*v - 103 - 82 = -27. Let t = 36 - 32. What is the remainder when t is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from owuuououwuouuuo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 6*j - 4*j - 4, 0 = 5*j. Let w(b) = -809*b**3 - 3*b**2 - 3*b + 1. Is 45 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 71757 - 159253 = -f, 3*p - 462015 = -2*f. Suppose 4*z - 2*k = 17 + 5, -5*z + k + 14 = 0. Let c be (-99 - z)\/(30\/f). Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 + w**2\/2 - 2*w. Let r(a) = -14. Let i(y) = 3. Let u(t) = 9*i(t) + 2*r(t). Calculate u(o) + v(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434690, -434698, -434710, -434726, -434746, -434770, -434798?\nAnswer: -434830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*v - 6*v**5 - 23*v + 11*v**2 - 5 + 5*v**5 + (-2*v**2 + 0 + 0)*(0*v**3 - 4*v**3 + 2*v**3) - v**5 - 2*v**4 + 2*v**4.\nAnswer: 2*v**5 + 11*v**2 + 3*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 2*k + 6. Let q be n(-3). Put 2, 5, q in descending order.\nAnswer: 5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15821 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 0, -4*k - 134*s + 135*s + 11 = 0. Solve -5*h + 10 = 0, 13*d - 8*d - 23 = -k*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2289*h**3 + 577?\nAnswer: -6867*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -113 and -224.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 12. Let a(k) = -2*k**2 - 49*k - 53. Let v be a(-23). Let l be i(v). Sort l, 3, -3 in descending order.\nAnswer: l, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide (-936)\/(703\/32 - 22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3 - 11*r**2 - 207*r**5 - 2 + 16 - 390*r**5 - r**3 wrt r?\nAnswer: -35820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -12 - (-19 + 56 + -26 + -17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(425) + ((-3 + sqrt(425))*2 - sqrt(425) - sqrt(425)) + 3))**2.\nAnswer: -270*sqrt(17) + 3906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198.3 + 196. Let y = 22036.69915 + -22039. Let x = y - s. Round x to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*h = 2*f - 7, 0 = -2*h - 2. Suppose 3*s + f = -14, 75 = 5*g - 5*s. Suppose g = 5*l - 4*l. Calculate the highest common factor of 90 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -13 (b) 2\/5 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3979432*r + 10433716 wrt r?\nAnswer: 3979432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1. Let c = 0.1 - 0. Let g = c + l. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 6:13 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 - 248.9. Let l = -13.099929 + n. What is l rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 52 + (-29197)\/559 + (-62)\/(-156). Factor 0*p - w*p**5 + 2\/3*p**2 + 1\/3*p**4 + 0 + 7\/6*p**3.\nAnswer: -p**2*(p - 4)*(p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {r: 6, b: 5, y: 1, f: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2. Suppose -5*n + 0*n = -25. Let a(c) = -c + n*c - 3 + 3. Let f(w) = w. Let v(y) = -a(y) + 5*f(y). What is t(v(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109 and 71.61524.\nAnswer: -7806.06116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23127465 to the power of 1\/2, to the nearest integer?\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 270 in -1\/2, 340, -0.2, 2.5, 3?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20420 and -139\/60.\nAnswer: 61260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -31. Let k(o) = -4*o**2 - 10*o + 3 + 1 - 3 - 5. Let f(w) = -w**2 - w. Let b(c) = q*f(c) + k(c). Differentiate b(m) with respect to m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 15*q + 2. Let t(c) = -11*c - 1. Let d(x) = -4*t(x) - u(x). Let k(r) = -13*r**2. What is d(k(w))?\nAnswer: -377*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 772561350 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20*-5)\/((-3)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 135. Let h be ((-23)\/((-161)\/(-154)))\/(4\/6). Give i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eerenrrerrnr. Give prob of sequence nenr.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16021?\nAnswer: 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 - (93 + -336) - 111.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 120854?\nAnswer: 120852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t*t*t*t**19*t))\/t)*t**(5\/6)*t\/(((t\/((t\/(t*t*t**(-20)))\/t))\/t*t)\/t*t)*t*t**(-4)\/t assuming t is positive.\nAnswer: t**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n)**(2\/41)\/(n**(-12)*n*n**(-1\/21)) assuming n is positive.\nAnswer: n**(9428\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 11845.\nAnswer: 11844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/116 and -27\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 461*f - 401*f + 854*f + f**2.\nAnswer: 3*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7470 or -7474?\nAnswer: -7474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 41. Let x = 58 + w. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 295 + -190. Suppose -39 - p = -8*c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 - d**2\/3 + d\/6.\nAnswer: d*(d - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92789920.\nAnswer: 2, 5, 19, 131, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 128*m**5\/9 + 59168*m**4\/9 + 6844994*m**3\/9 + 569492*m**2\/3 + 11858*m = 0?\nAnswer: -231, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*t - 34, -3*t - 16 = -3*j + 8. Let l(r) = -4*r**2 - 13*r - 9. Let v be l(j). Calculate the common denominator of 1\/((-7)\/(v\/8)) and -17\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 21 = 4*l, -2*w = 2*l - 9 + 1. Suppose -11*u + 4 = -l*u. Solve -a + 2*a = -1, -y = -u*a - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 + 384. Suppose o = 2*k - 7*k. Let j be k\/(-12) - 1\/4. Solve -u + j*u = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.3 (b) -0.5 (c) -162 (d) -0.17414\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*n - n. Suppose 4*o - c - 100 = 0, -o - c + 30 = -0*c. What is the least common multiple of o and n?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 2862.1?\nAnswer: -2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u + 36. Put -3, u, 1 in decreasing order.\nAnswer: 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 8*a**5 + 1046*a**4 + 37530*a**3 + 217720*a**2 + 312232*a - 92256 = 0?\nAnswer: -62, -4, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 + -6.3. Let s = 13 + -15. Let q be (-48)\/(-27) + s\/(-9). What is the closest to q in 0.4, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537584?\nAnswer: 2, 7, 139, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2180905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -915332, -3661335, -8238006, -14645345?\nAnswer: -22883352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 219803 and 8.\nAnswer: 219811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011101111001000110 (base 2) to base 7\nAnswer: -3161142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 41. Suppose 0 = -5*k + t + m, -3*k = 2*t + 2*t - 20. Suppose 0 + 8 = -k*q. Put q, 3, 2 in descending order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.17 less than -0.822711?\nAnswer: -2.992711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19010 * 27\nAnswer: 513270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242\/3 or 2\/367?\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:35 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -388\/5 or -124?\nAnswer: -388\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 25*m**2 - 93*m - 20. What is the tens digit of v(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2990756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + sqrt(1573) + 1 + -1 + sqrt(1573) + -2 + -1 + sqrt(1573))**2.\nAnswer: -264*sqrt(13) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-f + 2*f - 2*f) + (-254 - 429 + 179)*(12*f - 23*f - 12*f).\nAnswer: 11594*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 9:10 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3*j**2 - 8*j + 4. Let y(i) = -12*i - 16. Let s(p) = 5*w(p) - 2*y(p). Is 17 a factor of s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**3 + 16*m**2 + 8*m - 14. Suppose -4*j = -9*j + 15. Calculate the remainder when o(4) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -6, 6, -2, -3, 1 in descending order.\nAnswer: 6, 1, -2, -3, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100323971 times -4?\nAnswer: -401295884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34*(-4)\/442)\/(12\/26).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 12. Let w be c(12). Suppose -2*g + 4 + 2 = 2*l, -g = 5*l + 13. Suppose -g = 2*q - 43. Calculate the greatest common factor of q and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402545.\nAnswer: 5, 11, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3603 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-24) - 846\/(-24). Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 29700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/3)\/4)\/(2\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48092815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o - 226. Let c(j) = -19*j + 227. Let r(p) = -6*c(p) - 7*u(p). Let v be r(34). What is the highest common factor of 30 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 535. Let v(j) = j**2 - 3*j + 17. Let b = 39 - 34. What is the remainder when m is divided by v(b)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40950214.\nAnswer: 2, 20475107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 142 = 5*u, -54 = -u - 4*q - 8. Solve u = 22*m - 16*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = 6*g. What is the third biggest value in 2, -2\/5, g, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g + 22*o - 12*o = 46*g + 15*o - 21, -2*g + o = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 10*v + 4*l + 201, -3*v + 141 = l. Calculate the remainder when 172 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262 and -0.1.\nAnswer: 26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 34*y**2 + 221*y + 24. Determine c(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 1414836763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g - 7. Let u(y) = 1. Determine -5*u(q) - z(q).\nAnswer: 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxpppppd. What is prob of picking 1 p and 1 d?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567896943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, m: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102121001 (base 3) in base 15?\nAnswer: 850a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 - 11 = 0. Let y be 138\/((-22)\/(-6) + l). Let o be (-3)\/12 - 837\/(-36). Calculate the greatest common factor of o and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(90\/(-6)))\/(36\/270)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**3\/51 + 47*q**2\/17 + 1560*q\/17 - 1484. Factor w(a).\nAnswer: -2*(a - 60)*(a + 13)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 - 5*g - 15. Let f be b(-3). Solve f*u = 5*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2753197\/792900 + -2\/22025. Calculate the common denominator of z and 91\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 6, k: 3, g: 1, v: 4}. What is prob of sequence hk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5 + 3224*n**4 + 12*n**3 - 9664*n**2 - 6448*n = 0?\nAnswer: -1, 0, 2, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051073 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.106 (b) -0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*p + 2*t, 2 + 9 = p + 4*t. Suppose p*o = -3*v - 0*o + 12, -3*o = -5*v + 36. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epebpkppeeeebbbbek. Give prob of picking 4 p.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/15)\/3*-5. Let x be (52\/h)\/((-34)\/357). What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2\/2 + 6*j + 19. Suppose -f + 15 = -4*f. Let a be w(f). Solve 4*q - a = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8050.54 centuries to years.\nAnswer: 805054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13439989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198 + 4092457.68?\nAnswer: 4091259.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/20 + 3*b**6\/20 - 3*b**5\/40 - b**4\/8 + 16*b**2. Find s, given that q(s) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46412?\nAnswer: 2, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3178 divided by 1589.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 9 - (-3 + -1 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5476, 5462, 5452, 5446, 5444?\nAnswer: 5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 22 = -4*d, -3*i = 11 + 4. Let h = d - -6. Let b be 590\/6 + 6\/9. What is the greatest common divisor of b and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6843*p = -6847*p + u - 11, 5*p = -4*u + 65 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5029 = 4*k, 0 = 3*k + 6*j - 3*j - 3777. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-6 - 22 - 1)*(667 + 28*l - 667).\nAnswer: 812*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 17*m**2 - m + 3. Let p be x(-9). Suppose 23 = 2*w + 153. Let f = w + p. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.49 + -0.46. Let m = -395 + 394.5. Which is the second biggest value? (a) -4 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:35 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 80 - 35 = 0. Suppose p*j = -j + 140. What is the highest common factor of 91 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (10 + -5 + (6 - 13) + (25 - 16))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-5 - 91\/(-14))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 5, q: 3, h: 3, o: 1}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31)\/(-6) - 6\/36. Suppose -19 = t*c + 11. Let h(s) = -11*s - 1. Let q be h(c). What is the highest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:58 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let y = -13797 - -13802. Let t(d) = 6*d. Determine y*g(m) + 5*t(m).\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081 plus 288?\nAnswer: 287.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 9*l**2 - 10*l + 7. Let n be g(-10). Suppose 5*q = 8*q - v - n, q = -v + 1. Solve h + 12 = -q*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/953 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2525096 or 2525097?\nAnswer: 2525097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*m**4 - 250*m**4 - 77*m + 487*m**4 wrt m.\nAnswer: 1392*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -32 - (-10 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-3 - 0 - -13). Let d be (-19)\/h + 10\/45. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:39 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002833 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 8*r - 615. Let w(i) = -15*i - 5. Let u be w(-3). Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 539 + -384. Suppose y - 632 = -3*y - 2*i, y - x = i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a decade in months?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:06 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 5. Let n = k - -41. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and 33\/21267113?\nAnswer: 106335565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*i = 1, 0*d - 4*d - 1 = -3*i. Suppose -22 = -5*s - d. Let c be (s\/10)\/((-5)\/(-125)). Calculate the highest common factor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70802535.\nAnswer: 3, 5, 17, 277657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -3801\nAnswer: -38010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 0 + 0 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4 + -2)\/((-22)\/(-220))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3396.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -1390.\nAnswer: 4\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26000 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4385358 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: Suppose 2*s**5\/3 + 3550*s**4\/3 + 1544704*s**3\/3 - 27295744*s**2\/3 = 0. Calculate s.\nAnswer: -896, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from llxxxxx.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (46 + -37)) + 81?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 3*b + 5, -b + 2 = 0. Suppose n = f - 2*y + 1, -1 = -y. Let q be (2\/20)\/(f\/(-40)). What is the second smallest value in 2\/5, q, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -80*m + 485. Let g be f(-9). Let s = -10823\/9 + g. Let -2\/9*v**2 + 8\/3 - s*v = 0. Calculate v.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 1. Let z(y) = 10*y**3 - y. What is the units digit of z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - c)*(2*c - 11 + 11) - 1 + 2*c**2 + 1.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9533?\nAnswer: 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/3 - 25084*p**2\/3 + 50174*p\/3 - 25088\/3 = 0.\nAnswer: -12544, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -7 + -1 - 0 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/(i\/i**1))\/i*i)\/i*(i*i**(1\/4))\/i)**(-23) assuming i is positive.\nAnswer: i**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/13 (b) 2\/7 (c) -0.24 (d) 3 (e) -0.1 (f) 667\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2 = -2*i + 3*r, i - 4*i + 2*i - 1770*r = -1767*r + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.8. Let s = -9 - -11. What is the second biggest value in i, s, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7402262 grams in kilograms?\nAnswer: 0.0007402262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**4 + 349\/30*i**6 + 0 + 0*i**3 + 0*i**5 + 104*i**2 - 345*i. Find the first derivative of p(k) wrt k.\nAnswer: 1396*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071137 rounded to 6 decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 4*u + 28. Which is the closest to u? (a) 5\/3 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 218, 506, 1286, 2804, 5306, 9038?\n\"Answer: 41*q**3 + q + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55968.57 - -1.2?\nAnswer: 55969.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32954483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1789857*u**3 + 3909034*u**2 wrt u?\nAnswer: -10739142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000100 (base 2) to base 11.\nAnswer: 149a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 9*n**2 - 41*n - 60. What is x(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18*998)\/(62\/(-124)*3*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Let y(d) = 86*d**2. Give y(r(q)).\nAnswer: 344*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6a (base 16) to base 11\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 38 = 2*w, 111292*d - 111296*d - 5*w = -95 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-9)\/12)\/(30\/20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1\/5*v**3 + 1\/5 + 3\/5*v + 3\/5*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27794909 divided by 3.\nAnswer: 27794909\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -3*r**4\/4 + 2*r**3 - 3*r**2\/2 - 4. Factor g(p).\nAnswer: -3*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*d + 22*w - 26*w, -d + 5*w = 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -1008, -1510, -2012?\nAnswer: -2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 2 + 2)*(-2 + 2 + b**2) + 4*b**5 + 2*b - 2*b.\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*d - 10*d. What is the common denominator of d\/180 - 286\/(-36) and 41\/73?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*l + 31174, 0 = 1206*x - 1204*x + 3*l - 62335. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 88\/(-4)*(-4 + ((-15)\/10 - -4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 13*g = 11247. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - c - 3054 + 3166, x - 5*c - 12 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 115*h**2 + 195735*h + 3685770 = 0.\nAnswer: -1683, -438\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2851 + 98*z + 2851 + (-3*z - z + 6*z)*(3 - 4 + 3) - 1 - z + 1 + (-4 + 5 + 5)*(5*z - z - 6*z).\nAnswer: 89*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -177*b - 1590. Let q be a(-9). Solve -10 = -2*s - x - 0*x, -q*s + 15 = -3*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 4*c + 1. Let i(v) = 15*v**2 - 28*v + 5. Calculate -i(j) + 6*x(j).\nAnswer: 21*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 7478430\nAnswer: 2\/3739215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2858 and 5332116298?\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 6*j. Suppose 3*q - 3*l - 34 = 8, 4*l - 16 = -4*q. Let z(y) = q*y + 12*y - 20*y. Let v be 7\/(-2) - 6\/(-12). Calculate v*z(t) - u(t).\nAnswer: -2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m + 315 = -81 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 85 = -105. Put t, 3, 4, 6 in decreasing order.\nAnswer: t, 6, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/6 - 11*p**2\/2 - 8*p + 10. Let t(a) be the first derivative of m(a). Give t(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 822.14 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*j - 16 - 13, -4*y - 3*j + 51 = 0. Let t be ((-2)\/3)\/((-3)\/y). Suppose -t*d + 2 + 2 = 0. Let a(b) = b. Determine a(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 3. Let d(l) be the first derivative of -m*l - 10*l - 15 + 3*l**4 - 13 - 2*l**4. Differentiate d(x) with respect to x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 386 + -68. List the prime factors of s.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91500 divided by 4.\nAnswer: -22875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6665501 + -2?\nAnswer: -6665503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/10)\/(((-169)\/(-676))\/(30\/(-8))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73792.489 to the nearest 10.\nAnswer: 73790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 235238833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(9 + (-57)\/7)*(-3 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/5 + 23*v**4\/5 - 152*v**3\/5 + 124*v**2\/5 + 1056*v\/5 = 0.\nAnswer: -2, 0, 6, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 383*k**2 + 20*k + 26. Let l be j(-3). What is l rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n + 7. Let w be r(5). Let p be 33\/(-198) + (w\/(-6))\/1. Solve p*j - 7*j = -15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 348779 + 2779 = 0. Round l to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 + 35*x**2 - 256*x**3.\nAnswer: -256*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*h**5 + 13*h - 13*h + (2*h + h - 5*h)*(-h**3 + 4*h**4 + h**3).\nAnswer: -11*h**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {j: 2, l: 1, r: 2, n: 1, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -99*y + 592. Let x be d(6). Suppose -z - 2*n = -3 - 1, z - 3*n + 1 = 0. Put z, x, 0, -1 in ascending order.\nAnswer: x, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 + -c2c?\nAnswer: -bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:49 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029195612 to the power of 1\/2, to the nearest integer?\nAnswer: 32081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o - 0. Let n be 24 + (-9 - -1)\/o. Suppose -3*q = -2*c - c - 9, 4*q = -c + n. Solve c*h + 3*u = 17, 3*h = 5*h + 2*u - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 28527*o. Let f(i) = -6*i. Give f(k(a)).\nAnswer: -171162*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (5 + -30) - -2*(-484)\/(-72)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = r + 4*l, l = 5*r - 0*l + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*m**3 - 12*m**3 - 1 - 16*m**3 - 2*m)*(-m + 54*m - 9*m).\nAnswer: -484*m**4 - 88*m**2 - 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 take away 27372?\nAnswer: -27783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**4 + 8*w**4 - 16 + 5*w**2 - 16 + 2*w**3 - w + 29 to q*w**4 + a*w**2 + i + g*w**3 + c*w and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -70*b + 601. Determine o(13).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let w(z) = -z + 28. Let s be w(24). Suppose -14 = 4*x - h, 6*h = x + s*h. Let d(k) = -5*k. Let m(c) = -6*c. Calculate n*m(r) + x*d(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnln. Give prob of picking 2 n.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 289105 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 + (-2 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-28))\/((-27)\/(-12) + -6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 + 325. Solve 9 = u - 3*h - 3, -h - 11 = r*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1.8883?\nAnswer: 2.2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 11 = 5*o, -5*o - 9 = -8*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -1, 2, 2\/65, -6\/893?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/7 (b) 720 (c) -38 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 2*c - t, c = 4*t + 20. Suppose -200 = 47*v + 3*v. Put c, v, 46, -1 in descending order.\nAnswer: 46, c, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -85 (b) -2\/9 (c) 0.5 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5943 = -4*r + 1023, -5*p - 3*r = 4920. Let s = p - -2037. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16997 - 16997.21205. What is m rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.68861 and -0.2?\nAnswer: 0.88861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11166 + -11129.42. Let g = 43.329 + 0.371. Let s = g - r. Round s to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*c**3*k + 4085*c**3 + 2*c*k - 9263*c + 3937*k**2 + 9*k wrt k?\nAnswer: 8*c**3 + 2*c + 7874*k + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6726 = -87934*v + 88111*v for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 2*f - 3*f)*(8*f - 8*f - 18*f**2).\nAnswer: 180*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -75. Let c = -10 + 11. Let i(u) = 4*u - 3*u + c + 1 - 4. Give i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:22 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 173 = -4*r + r, 3*a + 168 = 3*r. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i + 14. Let k be w(5). Suppose 4*x - 5*y - k = 272, 0 = 2*y - 6. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4849339?\nAnswer: 11, 440849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 70 + 143 = 3*r. Let q(z) be the third derivative of 0*z**3 + 1\/12*z**4 + 0 + 18*z**2 + 0*z + 1\/30*z**r. Determine q(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3838460.\nAnswer: 2, 5, 281, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/96 - 67*h**3\/48 - h - 62. Factor l(f).\nAnswer: f*(f - 67)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let w(v) = 22*v. Calculate w(y(p)).\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.9030828 - -8508.1010402. Let k = b - 8575. Round k to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -71\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*y - 19 = 0, 0*g - g + 8 = 2*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8271181 to the power of 1\/2, to the nearest integer?\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**(-1\/24))**(35\/4)\/((c**(-1)*c**(-9))\/(((c*c**2*c)\/c)\/c)**36) assuming c is positive.\nAnswer: c**(2589\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 + 0*c**3 + 2*c**3)*(1 + 3 - 2) - 3*c + 3*c - 2*c**3 + (-3*c**2 + 2*c**2 - 5*c**2)*(25 - 25 - 5*c) as v*c**3 + j + n*c**2 + f*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 41 = 5*o. Let r = 7 + o. Suppose r = 5*f - 63. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1 + -6) + (-4)\/5. Which is bigger: 3\/229 or x?\nAnswer: 3\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35*-2.2\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -176, -356, -538, -722, -908, -1096, -1286?\n\"Answer: -m**2 - 177*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17989 is divided by 2248.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 15.5. Let f = -1 + 0.6. Which is the second biggest value? (a) f (b) -0.04 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -9. Suppose 0 = 2*t - 5*x, 0*t = -m*t + 3*x + 18. Is 9 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -563 + 5272 + 3*q - 6*q + 3*q + 3*q to the form g + p*q and give g.\nAnswer: 4709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 3*s = -3*i + 8, -5 = 5*i - 5*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84975863, -84975882, -84975903, -84975926, -84975951, -84975978, -84976007?\nAnswer: -84976038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let c(g) = -14390*g. What is c(o(k))?\nAnswer: -28780*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 69351300.\nAnswer: 554810400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/5, -2\/11, 0.89, 0.4, -45.29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 - 8*j**3 + 5*j + 0*j**3 + 0*j**3 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392439715 by 4.\nAnswer: -392439715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 - 4*a**2 + 0*a**2 + (-4*a + 0*a + 5*a)*(-2 + 2*a + 2) + 0*a**2 + 2*a**2 - 3*a**2 + (0 + 0 + 4*a)*(-11*a - 16 + 16).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 55 - 35, 30 = 5*s - 4*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 + 1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 74. Suppose 0 = q - 0 - 13. Calculate the highest common divisor of q and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*q + 62*q = 150. What are the prime factors of (-12447)\/(-15) - (-24)\/q?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 270, 1103, 2350, 3891, 5606?\n\"Answer: -20*g**3 + 327*g**2 - 8*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59 - 74 + 2*x - 3*x + (-3 + 1 + 3)*(-x + 5 - 5) + 2*x - 4*x + x.\nAnswer: -3*x - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 - (0 - (-5 - -6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.3 (b) -413 (c) -1 (d) 13 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -9 + (11 - 6) - 25) + 7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 61*v + 69. Let u be d(-17). Which is smaller: u or 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7167 greater than or equal to 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:06 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35 - 17)*4\/((-8)\/(-15)). Calculate the highest common factor of q and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010 - -12?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3241 = -12*t + 8387. What is the highest common divisor of t and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 684 = 5*l. Suppose -31*y + l*y - 70 = 0. Let h(d) = 2*d + 3. Let m be h(7). Solve -3*f + 4*t + m = -0*f, -5*f - t - y = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89\/348 - 5\/29. Let x(s) be the second derivative of 2*s + 1\/6*s**3 + 0*s**2 - d*s**4 + 0. Factor x(y).\nAnswer: -y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnvbv. What is prob of sequence bvnn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 1\/8, -7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 17 + -2 + 5 - -16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 20*z - 4. Let y be w(3). Let r be ((-24)\/(-14))\/(16\/y). Suppose -r*x = -x - 15. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1301*-1670.\nAnswer: -2172670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 0.2 (c) 16 (d) -4 (e) -12\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011 (base 3) to base 12.\nAnswer: -6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-28))**48*a**(7\/3)*((a\/a**(-2\/5))\/a)\/(a\/a**4) assuming a is positive.\nAnswer: a**(-20074\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2 - 1) + 21. Suppose -14*w = -5*w - 18. Suppose 0 = -4*f - 2*p + 18, -5*f + 0*f + w*p = -18. Solve -4*c + o = -3*u + 8, -2*c = f*u + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1755\/342 - 5)*8\/(-10).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 9*k = 45. Suppose 4 = 2*f + k*u, -u - 3*u = 5*f + 24. Let m(p) = -2*p - 10. Calculate m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 8*w)*(14*w - 2*w - 8 + 12) to o + n*w**2 + q*w and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -606672 divided by 18\nAnswer: -33704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4011123 (base 6) in base 16?\nAnswer: -2df1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-16))\/(7840\/896)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 154*w - 147*w. Let l(b) = -152*b - 28. Let t(g) = -17*g - 3. What is w*t(y) - 3*l(y)?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (1 - (-4 - -1)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -597*v**4\/2 + 1502*v**3 - 2446. Find the third derivative of f(r) wrt r.\nAnswer: -7164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12398 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42397 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*k**2 + 6*k**2 + 58*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 385*w**3 + 7205*w**2 + 8385*w - 15210.\nAnswer: 5*(w - 39)**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*b + 23456, 2*y - 26*b + 27*b + 15642 = 0. Let r = y - -14623. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/2 (c) 0.23765\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86036.54 litres in millilitres?\nAnswer: 86036540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a decade?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281568 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 14*y - 33, 32 = -4*x + 2*y + 48 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 13*c - 1608. Give f(47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, -377, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(-3*(-1 + sqrt(2736) - sqrt(2736))*-1 + (-3 + sqrt(2736) + (sqrt(2736)*1 - sqrt(2736)) + sqrt(2736))*-2))**2.\nAnswer: -27648*sqrt(19) + 4203360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*g = -164*g + 12556 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**7\/280 + c**6\/10 + 9*c**5\/8 + 25*c**4\/4 - 21*c**3\/2 + 29*c. Let m(j) be the second derivative of q(j). Factor m(g).\nAnswer: 3*(g + 2)*(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from dvvlwdvdwwww?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuucuuucucuu. Give prob of sequence ccuu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)*-7*40\/2660\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(2) + sqrt(2)*-2 - sqrt(2)) - sqrt(22)\/sqrt(44))**2 + ((sqrt(160)\/sqrt(5))**2 - (2 + -1 + sqrt(2))**2).\nAnswer: -2*sqrt(2) + 105\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 1, 10552 in descending order.\nAnswer: 10552, 16, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 98, -5, -0.2, 0.8, 0.02 in ascending order.\nAnswer: -5, -0.2, 0.02, 0.8, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -168, -203, -310, -525, -884, -1423, -2178, -3185?\n\"Answer: -6*f**3 + 7*f - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 - -4 - (2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22071 is divided by 2443?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 541420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, -4, -0.09, -247, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 63 = s, -x - 101 = -7*s + 5*s. Let m = 312 - s. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 3*n**2 - 6*n - 5. Suppose 0 = -i + 4*i - 18. Let y(j) = -11*j**3 + 7*j**2 - 13*j - 11. Let b(k) = i*y(k) - 13*x(k). Give b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2*12)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1316 and 143\/564.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 2:16 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Suppose -23 = -6*p + p + d, 5*d + 3 = -b*p. Solve -o = 2*u + 2*o - 11, p*u = o - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3)*f))**(2\/15)\/(f**(-6\/5)*f*f\/((f\/(f*f*f**(-5)))\/f*f*f)) assuming f is positive.\nAnswer: f**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8013*y**2 + 9877*y**2 + y + 2*y - 3*y.\nAnswer: 1864*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = -168*y + 1348 + 752 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6073\/24 + -253. Let h(j) be the first derivative of -5\/12*j**2 + 2\/9*j**3 + 1\/3*j - p*j**4 - 5. Find i, given that h(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n + 4. Let l be (-3)\/n*(-4)\/3. Is (8\/6)\/(l\/42) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 260, 364, 464, 554, 628, 680, 704, 694?\n\"Answer: -r**3 + 4*r**2 + 99*r + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -447? (a) -87 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -2\/99, -0.2, -1\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028177884 rounded to 6 decimal places?\nAnswer: 0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 8415?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365 + 1090 = -25*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yydyyyydyyydyyydyd.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 5, -5, -85204 in ascending order.\nAnswer: -85204, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.6 - -607436473567?\nAnswer: 607436473546.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2610, -5228, -7850, -10476, -13106, -15740?\n\"Answer: -2*c**2 - 2612*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - ((-3*sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119)))\/sqrt(7) + 3 + sqrt(425).\nAnswer: 3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 - d + 3. Calculate j(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47083069441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 37494*b**2 - 18756*b**2 - 18749*b**2.\nAnswer: -11*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 236524247.8 and 0.\nAnswer: 236524247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z + 46. Calculate a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063225?\nAnswer: 5, 82529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 261468960?\nAnswer: 784406880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 4*q + 9, 35 + 40 = 3*k + 3*q + 72 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29164 and 5198.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8177 and 962.\nAnswer: 16354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + k + 1 = 5, -5*k + 20 = 2*t. Suppose 0 = 5*q - 4*v - 3, 4*q + 4*v - v - 21 = t. Solve -q*z + 10 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -17, 0.1, 4\/3, -4, -20\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289.37 - -48.93. Let w = t + -338. Sort w, -0.4, 9 in ascending order.\nAnswer: -0.4, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-806)\/744 - 9\/(-12))\/((-3)\/108)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 2*v**2 + v. Let f be y(-1). Let p(u) be the second derivative of 1\/24*u**4 + 0*u**f + 0 + 3*u + 1\/12*u**3. Factor p(j).\nAnswer: j*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 greater than 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 248.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5113, -5082, -5041, -4984, -4905, -4798, -4657, -4476?\nAnswer: -4249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33514bb (base 12) to base 4.\nAnswer: -211123022033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -33. Suppose -2*i - 2*o - 13 + r = 0, -5*i = -3*o - 36. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 213080 and -11.\nAnswer: 213069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 9 = o, 2*o = j - 3*j - 12. Put 0.3, -3, j in increasing order.\nAnswer: -3, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1))\/c**(10\/11) assuming c is positive.\nAnswer: c**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*l - 287*l = 185. What are the prime factors of l?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m - 1 = -81*m. Is (-2 - (m + -7222)) + -40 + 36 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h**2 + h - 1. Let a = 2 + -1. Calculate the remainder when 36 is divided by q(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/10 - 71\/70. Let f = 2\/25 - -3994\/75. Let a = f - 54. What is the nearest to p in 0.1, 6, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34.203? (a) 5 (b) -4 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*a = -20, 7*h - 12*h - 289*a + 17 = -293*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109761106.\nAnswer: 2, 7, 13, 23, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -15\/307 (b) -1\/6 (c) -8.6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**16\/(i\/((i\/i**(-34))\/i*i)) assuming i is positive.\nAnswer: i**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -5*o**3\/6 + o. Let l be y(1). Let g(c) = -c**2 + 18*c - 81. Let b be g(8). Put b, l, -4 in descending order.\nAnswer: b, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6495071, 6495072, 6495073, 6495074, 6495075?\nAnswer: 6495076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21680 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*g = -347, 174 = 5*p + 5*g - 166. Let d = 73 - p. What is the units digit of (-645)\/(-6)*3\/30*d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.1. Let x = 8 - 8.7. Let p = -0.8 - x. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 20. Put s, 5, -2 in decreasing order.\nAnswer: s, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005881 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3*(-2 + 26) - -5 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 + 10470*o - 9093600 = 0. Calculate o.\nAnswer: -4210, 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.97 - -13. What is the nearest to 0.2 in 0, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -219*f + 7 - 7 + 224*f. Let t(s) = 65*s**2. Determine v(t(p)).\nAnswer: 325*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51101274, 102202551, 153303828, 204405105, 255506382?\nAnswer: 306607659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -1\/18, 1, -0.5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v. Let u(j) be the first derivative of -94*j**2 - 3100. Calculate r(u(p)).\nAnswer: -1316*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127486125 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.1 + 29. Let p = -0.1 - t. Let w = -12 - p. Sort w, -0.7, -4 in ascending order.\nAnswer: -4, -0.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjzszjzzjschju. What is prob of sequence ujch?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 5432 - 6325 = -2934. Solve 43*n = -a + 44 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 13\/5, 0.5, 404?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122012 (base 3) to base 2.\nAnswer: -1101101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**4 + 0*q**2)*(-1 + 0 + 3) + 2*q**4 - 4*q**2 + 4*q**2 + (2 + 1 - 5)*(6393*q + 8 - 6393*q + 2*q**4).\nAnswer: 2*q**4 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j**2 - 249*j - 297. What is v(18)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2 - (-4 + 1)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96340 and 48170.\nAnswer: 96340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -14, -1850, 3 in descending order.\nAnswer: 28, 3, -14, -1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + (-8 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/47250 and 101\/945.\nAnswer: 47250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 6562.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(((-182)\/49)\/(-1) + (-6)\/(-21)). Solve 29*u + 25 = -w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 26*s = 128, 5*q - 1477*s + 1472*s - 165 = 0 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*v + 6*v, 0 = -3*l + 4*v - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335759?\nAnswer: 71, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**3\/3 + 17*t**2\/2 + 17*t + 2. Let a(p) = -p**2 - 8*p - 8. Give 13*a(z) + 6*v(z).\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k**2 + 73*k + 29. What is the units digit of g(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 17. Let y(g) = -g**3 - g**2 + 16*g + 16. Let d be y(-8). Let v be (2\/7)\/(16\/d). Let a(c) = c + 1. Let l(u) = v*a(u) + h(u). Calculate l(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 32. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 4. Let v be q(2). Let f = 36 - v. Suppose 5*c = -n + 27, 0 = -c - c + 6. Solve 0 = -3*h + f*h + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*y - 56*y - 308. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. Suppose z = -2*h + 17 + 45. Calculate the highest common divisor of 248 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:27 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**2 + 60. Let w(x) = 550*x**2. Determine f(w(k)).\nAnswer: 1100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 3*y**2 - 5*y**2 + (5 - 5 + y)*(4 - 3 - 3)*(89 - 153 + 154 - 3 + 3 + 1 + (3 + 0 - 6)*(2 - 2 - 2))*(-4*y - 3 + 3).\nAnswer: 772*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.007 - -0.00699928. What is y rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (687*y - 479*y + 779*y)*(-1 + 0 - 1)*(-4 + 2 - 1).\nAnswer: 5922*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y + 7. Let n be h(-7). Let r = 21 - 18. Let k = n + r. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -120?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.68 - 0.32. Let n = o + 18. What is the nearest to n in -0.1, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 9) to base 11.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273250356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(-3) + (-11)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 7. Let y(x) = -x**3 + x**2 + 2*x. Let w(c) = c**3 - c**2 - c. Let p(n) = -5*w(n) - y(n). Does 23 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.06. Let s = y + 0.061. Round s to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 6*j + j - j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n - 19*n + n**2 - 32*n.\nAnswer: n**2 - 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261806 and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1584) + -1 + sqrt(1584) + sqrt(1584) + -3 - sqrt(1584)))*5)**2.\nAnswer: -10800*sqrt(11) + 160425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20958339 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.927399 - -79.\nAnswer: 81.927399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 8*a**2 - 9*a - 4. Let n = -17 + 10. What is the lowest common multiple of i(n) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*y + 2*y. Let z be 6 - 6*(-2)\/y. Suppose -5*w = 5*d + 11831 + 8194, -z*d = -3*w - 11990. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-42)*7)\/(5\/15) - -82658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 491*v**2 - 367*v. Let m(k) = -2*k**2 - 3*k. Let g(i) = -4*m(i) + p(i). What is the second derivative of g(z) wrt z?\nAnswer: 998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.456 centuries in months?\nAnswer: 377347.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 24*d - 2784. Let r be k(116). Suppose 3*m - 475 = -2*m. Let t be 6\/(-30) - (-24)\/m. Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 87159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*z - 35, -3*y + 235 + 27 = 21*z - 59 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2\/((-4)\/18). Let z = -117 + -943. Let k = z + 1063. Let m(p) = -5*p + 3. Let l(n) = 14*n - 8. What is a*m(c) + k*l(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 298*n - 1659. Let i(b) = b**2 - 60*b - 332. Let q(p) = 11*i(p) - 2*t(p). What is the tens digit of q(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 206 = 94. Put l, 2, -4 in decreasing order.\nAnswer: l, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/7, 4072, 5, 0.6 in increasing order.\nAnswer: -20\/7, 0.6, 5, 4072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1249232 and -57?\nAnswer: 1249175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 12 = -25*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + d = -68, 4*x + 21 + 71 = -2*d. Let i = x + 61. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -45781?\nAnswer: -18312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**8\/10920 + j**7\/1092 - j**6\/390 - 2*j**3\/3 - 46*j. Let t(q) be the second derivative of w(q). What is m in t(m) = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65275.387 to the nearest 10.\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 + 2 - 2*k**4 + 0)*(-128 + 250 - 127).\nAnswer: -5*k**4 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 48. What is w(40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -6 - (-4 - 26)) + -1 + 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 9*p - 5. Let a be s(-6). Let u = 98 + a. Calculate the remainder when u is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82, -73, -42, 23, 134?\n\"Answer: 2*f**3 - f**2 - 2*f - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, 3, 1\/7, -25692, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/78649 or 0?\nAnswer: 8\/78649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/3*-3)\/(-2))\/(89 - 326757\/3672)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229\/133 + -30\/19. Suppose 3*y = -y - 4. Let d = 0 - y. Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 3*n + 3. Suppose 133*l = 139*l - 456. Let c be (0 + (-3)\/2)\/((-38)\/l). Calculate u(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 34*s**2 + 3*s - 27. Give o(11).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-4)\/10 + 855\/75. Calculate the highest common divisor of h and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803\/78765 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 53952*l**2 - 4271*l**3 + 53952*l**2 - 4 + 2.\nAnswer: -4271*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/22 + 21\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2032\/(-127))\/(((-10)\/4)\/(-5))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -264, -326, -388, -450, -512?\n\"Answer: -62*w - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 161 + 0*j**2 + j**2 + 7 + 10*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 - 26 = -51*i + 39 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*c + c - 3*c - 90, -5*s - 39*c = 702 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 4. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 6 + 27 = 0. Suppose f*n + 6 - 4 = 2*l, 0 = -l + 1. Solve 3*g + 0*g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 223 - 11*j + 77 + 70.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4728 + 7987. Suppose 3*m = -3*a - 322 + p, -967 = -a + 5*m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 92*t + 17 = 119 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20573\/13 - -1579. What is the common denominator of 34\/3 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xctixc. Give prob of picking 1 c, 1 x, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-80151)\/30 - -1. Let d = 2680 - j. What is the common denominator of d and 31\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s*s**(1\/3))**15 assuming s is positive.\nAnswer: s**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 481004795 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/((-12)\/(-64)). Suppose -21 = -s*z - 1. Solve 4 = z*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 42 = 3*t, 42 = 8*t + 10917*g - 10914*g - 44 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10952 and 29600?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 236*l**2 + 12*l**2 + 97*l**2.\nAnswer: 351*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39315 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004405 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**2*v*y + 8*r**2*y**3 - r*v**3*y**3 - 2*r*v*y - v**3*y**3 - 8*v**3 - 4*v*y**2 wrt y.\nAnswer: 48*r**2 - 6*r*v**3 - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 2, c: 7}. What is prob of sequence cgc?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 0.0133 (c) -0.5 (d) -2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*z - 89*z + 70 = 0. Put -27, 84, z in descending order.\nAnswer: 84, z, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + -11)*1\/2003. Let s = n + -254345\/36054. Find the common denominator of (-603)\/(-6)*(-1)\/30 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7206, -14417, -21628?\nAnswer: -28839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -2*o - 22, w = 5*o - 24449 + 24504 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*d = -256, -143 + 371 = 4*w - 4*d. Suppose 0 = -4*a - 3*v + w, 38 = 2*a - 2*v + 6*v. What is the remainder when 33 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.9 - -2.2. Let u = a + 1.3. Let g = u + 0.34. Sort -1\/3, -4, g in decreasing order.\nAnswer: g, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -k - 6*b, -36139*k + 36140*k = 4*b - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 2.7. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-126)*20 - (-48)\/(-84)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*c = -111 + 123, 4*f = 5*c - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(1 - -18) + (5 - 2). Let n = a + -65. Put -1, -4, n, -5 in decreasing order.\nAnswer: -1, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 70 - 6 = 4*h, -174*y + 48 = 3*h - 177*y for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2 + 72*r - 76 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703615 is divided by 252.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = s. Let f be s\/6 - 38\/(-3). Is (-646)\/(-26) + f\/78 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 207262 (b) 3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -8, -6554, 1 in decreasing order.\nAnswer: 2, 1, 0, -8, -6554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjywowjqwwjwe. Give prob of sequence jwwe.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1481, 728, -89, -976, -1939, -2984, -4117?\n\"Answer: -o**3 - 26*o**2 - 668*o + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 3\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 15) to base 13.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/2 - 2587*q**2\/2 + 568461*q + 1142100 = 0.\nAnswer: -2, 564, 2025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -242, -240, -236, -230, -222, -212, -200?\n\"Answer: j**2 - j - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19614 and 768789?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/80 (b) -0.5 (c) -2\/3 (d) 0 (e) 66 (f) -178 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 - 11430236*f**2 - 45720992*f - 45721008 = 0 for f.\nAnswer: -2, 2857563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -142\/79? (a) 13 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2591, -9\/62 in increasing order.\nAnswer: -9\/62, 0.1, 0.2591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.99 and 0.16?\nAnswer: 0.3184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 23798*q + 11898*q + 11900*q + 445*q**2 in the form b*q**2 + m + a*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**5))\/(x*x\/(x**(4\/29)*x)))\/(x**(7\/3)\/(x**(1\/26)*x)) assuming x is positive.\nAnswer: x**(6431\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -33)*14\/28. Let a(z) = -z**3 + 17*z**2 - z + 19. Let p be a(c). Suppose 0 = -q - 3*q + p*s + 750, -2*s = q - 175. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1315179 or 14.6?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.11 + -29. Let h = 64.942 - 65. Let a = z + h. Round a to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26952253817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 1435344865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74300.709 hours in weeks?\nAnswer: 442.266125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 2*f**3 + 4*f**3)*(2 - f - 2 - 3*f + 5*f + 0*f + (-3 - 2 + 7)*(6*f - 4*f - 4*f) + 7*f + 5*f + 3*f) + 3*f**4 - 4*f**4 - f**4.\nAnswer: 58*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1157 - 945. Is p a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14 and -149\/1452?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -101401358?\nAnswer: 101401355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - l + 0*l - 32*l**2 - 384 - 341*l**2 + 386 to the form p*l**2 + i*l + h*l**3 + c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11889?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8571 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-3)\/(-18)*-3. Let a = g + 1. Let j be -27*1*a - -1. Calculate the greatest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -87, -129, -187, -261?\n\"Answer: -8*o**2 - 2*o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 + -39. What is the smallest common multiple of 20 and j?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2316*w + 3*d = 2317*w - 58, -d - 54 = -w. Solve -w + 66 = 14*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(2\/5)))\/(p**(-1\/2)*p)*(p*p**(1\/9))\/(p**4\/p) assuming p is positive.\nAnswer: p**(-161\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134.47 - 1.53. Let o = k - -135.9999926. Round o to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -1. Let g = -0.9 + z. Let y = 1 - 0. Put 0.5, g, y in increasing order.\nAnswer: g, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -162?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3)\/6*-2). Let q = i + 7. What is the remainder when 35 is divided by (-45)\/q*(-8)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 60*c = -11203. What are the prime factors of c?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -212458.\nAnswer: 212423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -65.53292 and 2.31.\nAnswer: -63.22292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -91. Let y = 11 + -7. Suppose -l - y*p = 19 - 8, p = 3*l - u. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/5)\/(t*t**10*t*t))\/(t**(2\/23)*t**7) assuming t is positive.\nAnswer: t**(-2379\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/21 + -1\/7. Let f be 7*(-4)\/(-8) + -4. Let g = 3.2 - 3.4. What is the closest to f in g, b, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-279))\/(4\/(-180))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14067, -28126, -42185?\nAnswer: -56244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164178 and 63?\nAnswer: 164178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 8*r - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 7*x + 11. Let b be k(-7). Solve d - h + 3 = -0*d, -5*d = -h + b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83980.04 litres to millilitres.\nAnswer: 83980040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*k**2*t - 318*i*k**2 - 2*i*k + 27927118*i*t - 126*k**2 + 344*k with respect to t.\nAnswer: 2*i*k**2 + 27927118*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -163. Let w = -14 - t. Let j = w - 29. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(425) - sqrt(17)) + sqrt(17) + sqrt(17) + 4 + -4)**2 + -5*(sqrt(204)\/sqrt(6)*-1)\/sqrt(2).\nAnswer: 5*sqrt(17) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/4)\/(5\/(-20)). Let v = -25 + 28. Which is the third biggest value? (a) -5 (b) 4\/9 (c) v (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (3\/1 + -3)) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 6) to base 14.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -158*n. Let f(x) be the third derivative of -184*x**2 + 0*x**3 + 0 - 1\/8*x**4 + 0*x. Calculate m(f(g)).\nAnswer: 474*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:18 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:43 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/7 + 45*j**3\/7 + 15*j**2 - 45*j\/7 - 102\/7 = 0. What is j?\nAnswer: -2, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - 2*a**5 - 3*a**5 + (5*a**3 + 0*a**3 - 4*a**3)*(-a**2 + a**2 - 2*a**2).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 - 5*l**3\/6 + 2*l**2 + 4*l. Factor d(o).\nAnswer: (o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*f = 4*i - 16, 2*i = -2*f - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/7 + -1\/28. Let r = -90 - -453\/5. What is the nearest to r in 5, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03753 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66022995 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 + v**2 + v**3 + 6*v**2 - 3*v**2 - v + 5. What are the prime factors of g(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -4*o + 132. Let a be (90\/(-4))\/(11\/o). Let x = a + 13. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/13)*y*y)\/y**(6\/11))\/(y*y**5*y\/y**(-4)))**(-2\/17) assuming y is positive.\nAnswer: y**(2752\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-5 - -1) + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -87, 329 in increasing order.\nAnswer: -87, 1\/6, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -14. Suppose -o*s - 1022 = y, 2*s + 4*y = -0*s - 688. Find the common denominator of -4 + 1\/(8\/s) and 19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -3, 47 in decreasing order.\nAnswer: 47, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let r = 54 + -24. Suppose -w = 5*y - r, -40 + 15 = -5*y. Which is the nearest to i? (a) 2 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from dmhssddyyhdmedse?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 87. Let r = b + -64. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37630 = -20*p + 228370. List the prime factors of p.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328 - 6.27\nAnswer: 321.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199572712 divided by 99786356.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/520 and -15\/3190736?\nAnswer: 207397840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112200 (base 6) to base 11.\nAnswer: -7216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 9*x - 13 - 22*x + 41 + 48 + 5*x.\nAnswer: -8*x + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3944)\/(-646) - (-2)\/(-19)) + 3700?\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 729, 1, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*18860\/(-1312)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (93 - (-51 + 113)) + -70 + -8?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/7 + 76*h**3\/7 + 492*h**2\/7 + 1332*h\/7 + 1296\/7.\nAnswer: 4*(h + 3)**2*(h + 4)*(h + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s - 26. Suppose 2*c - 14 = r + 5*c, -s = 2*c. Solve w = -r + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 6 - 4*a + 3 + 3*a. Calculate the remainder when 16 is divided by g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(3*g**4 - 4*g**4 + 2*g**4)*(3*g - 3*g - g).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/16)*m*m*m**(-18)*m*m assuming m is positive.\nAnswer: m**(-225\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(143) + sqrt(143))*-1)\/(((sqrt(77)*3)\/sqrt(7) - sqrt(11))*-3).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 4, 373 in ascending order.\nAnswer: -10, 2, 4, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-10)\/(-140)*((-2619)\/5022)\/97\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 946 times -32.1\nAnswer: -30366.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - -179. Suppose 5*d + k = 2*k + o, d = -5*k + 77. Let h = d + -34. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6325 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (42\/3 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-15)\/2))\/((-24)\/(-9))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24520357.\nAnswer: 433, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - t + 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 451, -435, -3983, -11525, -24393, -43919, -71435, -108273?\n\"Answer: -222*q**3 + q**2 + 665*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 3*h - 32, 0 = -5*n + 18*h - 23*h - 60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -0.53, 2, -3\/5, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 27. Let q(v) = -12*v**2. Let w(o) = 413*o**2. Let r(m) = 35*q(m) + w(m). Calculate r(u(a)).\nAnswer: -7*a**2 - 378*a - 5103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*x = -u + 14, 0 = 3*u - x - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 71*r**7\/105 - r**4\/24 - 8*r**3\/3 - 37*r**2. What is the second derivative of a(l) wrt l?\nAnswer: 1704*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 15*p**2 - 3*p + 0*p + 7*p**4 - 9*p**4 + p**3 to c*p**3 + a + t*p**4 + d*p**2 + j*p and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eevvdvevvdede. What is prob of picking 1 d, 2 e, and 1 v?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5643 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13361120 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 0.5. Let i = 319.7 + -320. Let o be 1\/(-2) - (-2)\/20. What is the closest to 0 in i, o, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110435 divided by -5?\nAnswer: 22087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 - 2*w - 2. Suppose -8*v = -10*v + 10. Give c(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 1384321.\nAnswer: 12\/1384321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 10 - 33) + 7 + 3 + -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579 - 576. What is the second derivative of 8*r - 183*r**n + 3 - 10*r - 4 + r wrt r?\nAnswer: -1098*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 556000 = h - 6*y, 3*h + 5*y - 1668000 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r**2 + 3*r - 2. Let t = 82 + -81. What is the lowest common multiple of 1 and y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c = 9. Suppose 5*g - 49 + 19 = -5*w, c*w = -g + 14. Suppose -g*p - 108 = -6*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/132*-3*168\/196?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -27. Let z = -1051833\/171020 + 3\/8551. Calculate the common denominator of z and (l\/(-72))\/((-15)\/500).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10632561?\nAnswer: 3, 3544187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtbjttjbtjbj. Give prob of sequence bb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -52*l + 110. Calculate b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -157ba (base 12) in base 9?\nAnswer: -45777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16, 0 = -4*n - 2*o - 2*o + 140. Suppose -n + 7 = -3*y + s, -s + 4 = 0. What is the units digit of -3*((-328)\/y)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (330\/9 - 5))*3. Solve -29*a = x + 47 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-579253 - 7015*c + 579253)*(0 - 2 + 0) as b + h*c and give h.\nAnswer: 14030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(7139\/1298*3\/11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3007362 and 1.\nAnswer: 3007362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13746, 10930, 8114?\nAnswer: 5298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -16.6. Which is the third biggest value? (a) 0.1 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*j = 2*j + 40, o + 30 = -2*j + 38 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*c + 10 = 0, 4*g - 45 = -5*c - 73 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 104343 (b) -4 (c) -16 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4142*d**3 + 9*d**2 + 9*d + 22. Let g(a) = 3106*a**3 + 7*a**2 + 7*a + 17. Calculate -9*g(p) + 7*j(p).\nAnswer: 1040*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -70243\nAnswer: 39\/70243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1052 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -105*m**4 + 12785*m**3 + 16175*m**2 - 22705*m - 6150 = 0?\nAnswer: -2, -5\/21, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -179. Suppose b + 14062 = 5*r, -7861 - 6216 = -5*r - q*b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e3 (base 15) to base 6.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 3 (c) -1\/2 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 18 (b) -5\/2 (c) 6623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by -4.\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -84, 23.\nAnswer: -84, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*y**2 - 269*y**2 + 0*y + 0*y - 274*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 28*h**2 - 58*h + 91. Calculate b(11).\nAnswer: 1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vke when three letters picked without replacement from gvgggakigaievgaig?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-58))\/(64\/((-8192)\/288)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84099\/4*t - 83521\/4 - 1\/4*t**3 - 579\/4*t**2.\nAnswer: -(t + 1)*(t + 289)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1\/9 (b) -102 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424550641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4400 = 4*n - 0*n. Let j = 11273 - 11273. Suppose j*d = -4*d + n. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1470*l**3 + 2 + 4511*l**3 - 2.\nAnswer: 5981*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 9*l - 9. Calculate the remainder when 19 is divided by z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 180 = -7*i. Let b be i\/27*(-6)\/4. Suppose -b*q + 26835 - 168835 = 0. Round q to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and (-484)\/(-231) - -1*2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/5, 0.2, 3 in descending order.\nAnswer: 5, 3, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 37*h - 192 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16 + 108 - 1923*s**2 + 466*s - 43 - 49 wrt s.\nAnswer: -3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/7 - 63102*w\/7 + 126212\/7 = 0. Calculate w.\nAnswer: -31553, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose 0 = 2*x - d - 3. Solve -x + 1 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:21 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/((-1)\/(-2)). Suppose 4*z = -o*m - 22, -m + 0 = z + 8. Let u be m\/(-18)*10\/(-25). Which is the closest to u? (a) 2\/5 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - -6*(-1 + sqrt(1872)))*5.\nAnswer: -30 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 14. Let v be ((-3)\/2)\/(f\/(-104)). Suppose 35*y - 121*y = -8944. Calculate the highest common divisor of y and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68918616.\nAnswer: 2, 3, 13, 29, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/8 and -123\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 7*t - 4. Let i(y) = -3*y. Let f be i(1). What is the remainder when p(f) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 30 - (-1 + (-11 - -6 - -13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*k - 212 = 383, 3*u = -2*k + 377. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4722 divide 106310266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44409740 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 8*y**2 + 3*y**2 + y**2 - 54 + 17*y**2 + 3*y**2. Let i be g(-4). Is i greater than or equal to 482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.4002 and 38539626.\nAnswer: 38539624.5998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r - 10*r + 6*r + 5*r to s*r + t and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -3 + sqrt(162) - sqrt(162))**2 - sqrt(2)) + sqrt(2) + 4*sqrt(128) + sqrt(2) + sqrt(2).\nAnswer: -20*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -144*-23611.75\nAnswer: 3400092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -3, 2\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, 73, 6, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, 11\/9, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280239 + 61387 = 251*f + 96650. Solve -980 = -2*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/5 + 2462*f**4\/5 - 15320*f**3 - 163064*f**2\/5 = 0. Calculate f.\nAnswer: -2, 0, 34, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 - 3*t + 4. Let c be y(3). Suppose 3*b - c*k - 96 = -b, 0 = 3*b - 5*k - 72. What is the highest common divisor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:44 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 - -76. Find the common denominator of s\/(-3)*33\/110 and 7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342130 - -131?\nAnswer: 342311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11194752 and 2624.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-366624)\/(-32) + 8\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3393.0708926 minus 1.39?\nAnswer: -3394.4608926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.45 + 5.45. Which is bigger: 13.12 or s?\nAnswer: 13.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1 - 4*p**2 + p**2 - 1 - 4*p. Let f be ((-2)\/3)\/((-4)\/18). Let n = f + -5. What is m(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6 + 0 - 4*j**2 + 3*j - 6*j**2 - j**3 + 13*j. Let g be a(-12). Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -27*a - 10. Suppose 5*p = 5*n - 35, -5*p - 5*n - 6 = -1. Let r be s(p). Let w = 435 - r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4613319 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 55. Suppose 0 = -t - z + 21, 0*z + 3*z - 81 = -4*t. Solve j*b - 4 = t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260508275285 - 0.42?\nAnswer: 1260508275284.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -224*q + 8. Let n(b) = -75*b + 3. Let o(f) = -8*n(f) + 3*t(f). Let v(j) be the first derivative of -2*j**3\/3 + 120. Give v(o(i)).\nAnswer: -10368*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + a + 2 + 217*a**2 - 5*a.\nAnswer: 217*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(2 + -37)*-2. Which is the smallest value? (a) h (b) 5 (c) -4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7842.064*-36.\nAnswer: -282314.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-25))\/((-8)\/(-50)*30\/(-42)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = -80*h + 59*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + s**3 + 3*s**3 + 2*s**3 + 2*s**3 - 6*s**3 + (-s**2 - 6*s**2 + 2*s**2)*(2*s - 4*s + 4*s).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 740*q**2 + 740*q**2 + 0*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62400? (a) 3 (b) 1\/4 (c) -1\/3 (d) -5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -4 (c) 4\/7 (d) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 10) to base 11\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513021776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50632377*m**3 - 37*m**2 + 709056*m - 4?\nAnswer: 303794262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38343930 to the nearest integer?\nAnswer: 6192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1432745 by -1.\nAnswer: -1432745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3*b + 4. Let d be l(5). Is 27\/(-18)*76\/d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h - 70837 + 144000 - 73164.\nAnswer: 71*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14195, 0, 3, -2 in increasing order.\nAnswer: -14195, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -3. Let i = -10.98 - -11. Let b = 0.48 + i. What is the second biggest value in -3, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hss when three letters picked without replacement from shsshssssssssshsssss.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -12404?\nAnswer: -12402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 + 226*s**2 - s + 6. Let k(x) = -20*x + 98. Determine k(b(n)).\nAnswer: -20*n**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 5*o + 0*o + (-3*o - 2*o + 2*o)*(-14 - 5 - 2) - 5*o - 5*o + 7*o to the form q + c*o and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667094 divided by -429?\nAnswer: -3886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 200 = 2*w, -14*h = -13*h + 3*w - 76. Calculate the remainder when 371 is divided by h.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4*b + 7. Let h be t(-5). Let f(q) = q**2 - 18*q - 51. Let z be f(-4). Solve 0*k = -3*i - 5*k - z, -h*i + 2*k + 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -303, -1325, -3029, -5415?\n\"Answer: -341*g**2 + g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -61095, -3, -5, 0, 4, 1 in ascending order.\nAnswer: -61095, -5, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6983*z - 6691*z - 3 + 3 in the form o*z + d and give o.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 39*a**2 - 1 + 3 + 0*a**2.\nAnswer: -39*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-11) - (-8)\/(-44). Suppose -z*u - 1 = -9. Suppose 3*m - 4 = -w - 1, 2*m = u. Solve -5*t + b - 10 = 0, -3*t - b = 6 - w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1027 - -23316?\nAnswer: 24345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 16. What are the prime factors of f(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 28 = -4*v - 9*b, -4*v = b + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4574?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327760973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 9. Let v = c + 15.989. Let o = v + 17.111. What is o rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8*(-5)\/(-10) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yooyyoyyyoyyyooo. Give prob of picking 4 y.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b - 9*b + 7*b - b as j + x*b and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 4*c + 118. Determine h(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 0.5, 1\/20, 1\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98.4 + -91. Let a = -2.4 + z. Let w be (-4)\/(-10) - (259\/35 + -7). Sort 0.5, 1\/8, w, a in ascending order.\nAnswer: w, 1\/8, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296694*c**4*p - 42*c**3*p**2 + 3*p**2 + 2407326 wrt c.\nAnswer: 1186776*c**3*p - 126*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1*(4 - 5). Suppose -5*j + 10 = 0, 6 = a*z - 5*j + 16. Which is bigger: -1\/6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -585*y + 284890. Give x(487).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -940879, -1881797, -2822713, -3763627, -4704539, -5645449, -6586357?\nAnswer: -7527263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 13. Let y be d(-8). Suppose -y*s + 28 = -47. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -0.4. Which is the third biggest value? (a) p (b) 3\/2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (88\/(-50))\/(3\/10). Let r = d + 26\/5. Which is the closest to -1\/2? (a) -2 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6396\/(-1230))\/(((-224)\/(-280))\/(-1*2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - (-7)\/2. Let w be (h - 6) + -1 + 7. What is the derivative of 2*x**3 - 3*x**w - 9*x**3 - 14 - 5*x**3 wrt x?\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*q - 58, -2*p - 210 = 2*p - 3*q. Let h = -54 - p. Sort h, 8, 1\/3 in descending order.\nAnswer: 8, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44650033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6\/11, 5, -8, -6, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/7)\/((q**0\/q*q)\/q*q)*(q**(-4)\/q*q)**(-42))**(-2\/3) assuming q is positive.\nAnswer: q**(-2360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/((-9)\/54)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h - 5*m + 11, -5*h = -3*m - 12. Suppose h*d - 14 = -3*w - 5, -5*w = -2*d - 29. List the prime factors of ((-5)\/(-9))\/(w\/15)*54.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 a when four letters picked without replacement from {b: 4, a: 7, m: 4}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1900) + 4 + sqrt(1900) + sqrt(1900)*-1 + 5 + -5 + 0)*-1)**2.\nAnswer: -320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2 + -5 + 4)**2.\nAnswer: -44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -48*v + 4. Let l be y(-14). Suppose l*t - 673*t - 567 = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11519.\nAnswer: 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799 = 19*y + 113. Let x = y + 54. Solve 2*j = -j + x, 2*j = d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11480 and 29960?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 20. Let c = x - -21.00000052. What is c rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/5 + 5*p**2\/2 + 5*p - 5. Let x(n) be the first derivative of d(n). Differentiate x(l) with respect to l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -274, -279, -286, -295, -306, -319, -334?\n\"Answer: -k**2 - 2*k - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 1, d: 3, j: 5, o: 1, k: 2}. Give prob of sequence dz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlm when three letters picked without replacement from xlmslm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q + 2*d = -93996, 4*q + 2*d = 188004. Round q to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.316577 from 0.1.\nAnswer: -17.216577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137 greater than -6\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Calculate the smallest common multiple of p and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {e: 3, y: 4, l: 1, s: 2, z: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 67075, 67077, 67079, 67081?\n\"Answer: 2*c + 67073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-171*h**3 + 491*h - 989*h + 513*h)*(6*h - 4*h + 0*h) to v*h**3 + s*h + n*h**2 + u*h**4 + j and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27151479.8 and -31.01977.\nAnswer: -27151510.81977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/964875 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084596?\nAnswer: 2, 53, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682958028?\nAnswer: 2, 3, 2953, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74818 - -74818.000054687. Round n to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10557\/9384)\/(1 + 26\/(-32)). Let w = -364 - -565. What is the highest common factor of w and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65544?\nAnswer: 2, 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221669 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50461, -50375, -50289, -50203?\n\"Answer: 86*g - 50547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**3 - 5*y**3 + 0*y**3)*(76*y + 403 - 803 + 403) to the form o + d*y**3 + u*y + z*y**4 + s*y**2 and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-4)*(-18)\/(-60)*452 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41851946657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1\/2 + (-42)\/12. Sort -4, 5, -3, w in decreasing order.\nAnswer: 5, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w - 24*w + 12*w)*(-w**2 + 6*w**2 + 0*w**2).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p\/(p*p**(-6)))*p**(2\/3))\/((p**(-4)\/p)\/p**(-2\/3)))\/(((p**4*p)\/p)\/((p*p\/(p*p\/(p*p*p**(1\/7)*p*p*p*p*p*p)*p*p))\/p))**19 assuming p is positive.\nAnswer: p**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/2, -0.93, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2080, -7967, -17652, -31135, -48416, -69495, -94372?\n\"Answer: -1899*s**2 - 190*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71156 is divided by 924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58330 is divided by 18863.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-6 + 7) + 72\/(-9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.95 - 0.05. Let x = r - -3. Let z = x - -3. Which is the smallest value? (a) -2\/11 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/34 and -97\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2007 - -2023. Which is the closest to 0.1? (a) k (b) -9 (c) -0.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -763\/8 - 1\/8*y**2 - 29\/2*y.\nAnswer: -(y + 7)*(y + 109)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -719*r**3 - 4*r**2 - 41*r - 5. Let y(i) = 3*i**3 - 2*i + 1. Let s(v) = -m(v) - 5*y(v). What is the third derivative of s(a) wrt a?\nAnswer: 4224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 2326*l**2 - 4346425*l + 4348750.\nAnswer: (l - 3550)*(l - 1)*(l + 1225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + -4*(-269)\/4. Let r = u + -129. Calculate the highest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 2*c + c + 84*c**2 + 10*c**2 + 2*c to p*c + y*c**2 + b and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 20. Solve -m + 2*g = -1 + r, -2*m = 4*g - 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m + 24*m + 735. Calculate the remainder when m is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*p + 55106 + 21854 = 0. Calculate the greatest common divisor of p and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080258 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.2, -10, -4, -2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - o + 7*o - 116 = -1, 5*o - 93 = 22*j - 20*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -148, 111, 88, 4 in ascending order.\nAnswer: -148, -0.4, 4, 88, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:47 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 + 56*a - 5184. What is the ten thousands digit of u(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a**3\/3 - 13. Let g(b) = -5*b - 11. Let t(s) = 3*s + 6. Let j(z) = 6*g(z) + 11*t(z). What is j(r(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 13*g - 10*g + 2*x, -9 = 3*g + 3*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, p: 12, q: 2}. Give prob of picking 1 p and 1 j.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + -3 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(704) + 2)*-5 + 3*(sqrt(704) - -2*(2*sqrt(704) - sqrt(704)))**2)*3.\nAnswer: -56979 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68575247 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + sqrt(304))**2 + (-3*(sqrt(57)\/sqrt(3) + sqrt(19) - sqrt(19)))**2 - ((sqrt(133)*-2)\/sqrt(7) - -5*sqrt(304))**2).\nAnswer: 200*sqrt(19) + 28280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 10:19 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*p**3 + 7427*i**3 - i + 2406096*p**4 + 355 wrt p?\nAnswer: -3*i**3*p**2 + 9624384*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2519252 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let n be ((-4)\/6)\/(c\/(-6)). Solve 0 = -l + n - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53163201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(1216) + -4 + -2 + sqrt(1216) + 1 + sqrt(1216))**2.\nAnswer: -240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(15\/(-9)) - -3. Let p(n) = -n**3 - 2*n**2 + 138. Let h be p(0). Let y be ((-8)\/h)\/(80\/(-24) + 4). Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.4. What is the closest to -0.1 in 5, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 75 = -5*b, 2*w + 15 = -w. Let q = b - -12. Let a be 3\/(-2)*q - -3. Sort -0.4, a, -0.5 in ascending order.\nAnswer: -0.5, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -214 in -2\/21, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*c = -10*c - 24, 2*c = -o. Suppose 3*t = o*t - 270. Suppose 18 = -6*p + t. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 328 - 320. What is the second derivative of 4 + z - 11*g**2 - 22*g**2 - 7*g - 5 wrt g?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55035023 (base 6) to base 15\nAnswer: 2254b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:43 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17811 divided by -1979?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 558.62 * -0.27\nAnswer: -150.8274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + m - 2*m + (3 + 4 + 1)*(0 + 2*m + 0) - 94*m + 16*m - 97*m in the form v + q*m and give q.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 7*g**2 - 7. Let q be j(5). Let s be ((-161)\/(-21))\/(1\/6). Let h = q - s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-19 - ((4 - 18) + 12))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/17 + 22*a**3\/17 + 38*a**2\/17 + 18*a\/17 = 0. What is a?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4498 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/4 - 4*i**3\/3 + i - 5. What are the prime factors of g(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(16\/6528*-34*(-9)\/7).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -37. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let i(j) be the third derivative of 0*j**4 + 0 + 1\/60*j**5 + 0*j**3 + 0*j - 7*j**2. Give i(f(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115551857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31355738 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 61.9826. Round f to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((-221)\/17 - -17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/21 - 116*j**3\/21 + 330*j**2\/7 - 71*j - 2. Suppose d(m) = 0. Calculate m.\nAnswer: 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7320241459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747282264, 747282266, 747282268, 747282270, 747282272, 747282274?\nAnswer: 747282276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2801195289 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 16441656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*w - 30 - 51 = 0, -2*n = -5*w - 51. Let q = n + -12. Is 5 a factor of -33*((-8)\/q - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -228*x - 559. Is c(-9) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-94385*n - 13*n**2 + 5*n**2 + 95405*n).\nAnswer: -8*n**2 + 1020*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8283, -25619, -54515, -94971?\n\"Answer: -5780*c**2 + 4*c - 2507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 13*q**2 - 3*q + 5. Calculate y(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 20*l = -4490. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/34418 or 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1595 and -0.5.\nAnswer: 797.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*h**3 - 210*h**2 + 2886 - 2886 wrt h.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(-2*t**3 + 2*t**3 + 2*t**3) to the form u*t**2 + r*t**3 + l*t + n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15367 (base 8) to base 7.\nAnswer: -26061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -97923 divided by -5\nAnswer: 97923\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 6938337?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 1. Let r be (12\/10)\/(b\/20). Solve 3*x + 4 = 5*a - 3*a, -r*x = a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - bf?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -70045.94.\nAnswer: -70046.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2969, -6016, -9063, -12110, -15157?\n\"Answer: -3047*p + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -2\/9, -1, -7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.11, 5, -3, 0.01, 846?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211022202 + -12?\nAnswer: 211022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3 + 3 + i - 4. Let v be g(5). Suppose 4*p - 32 = 2*o, -2*p = -o - 2*o - 20. What is the greatest common factor of p and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66319910911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 - 1 = -3*j - 2*x, j + x = 98. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**5 - 56*l**4 - 124*l**3 - 64*l**2 = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921189 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:44 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 907543420 - 0.11?\nAnswer: 907543419.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 9*k + 1. Sort k, -3, -0.1 in decreasing order.\nAnswer: -0.1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2418 and 3016.\nAnswer: 280488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:28 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - a + a)*(0 - 1 + 5) - 2*a - 2*a + 3*a as p + v*a and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 22\/1 - (-14 - -18) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 938 - 815. Is w a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.948 - -2.94814784. What is y rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55654680 by -7160.\nAnswer: -7773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 12*z + 144 = 0. Let a(b) = 2*b**2 + 8*b + 6. Let o be a(-5). Suppose -o = -5*m + 104. Calculate the highest common divisor of m and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(((-12)\/56)\/((-96)\/28)). Let r = d + -3582\/7. Let -r*i**5 + 0 + 10\/7*i**2 + 6\/7*i**3 + 4\/7*i - 2\/7*i**4 = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 168067 in -1\/5, 3\/5, -51?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.08. Let o = -2150\/513 + 116\/27. Which is the closest to n? (a) o (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.899927ml in litres?\nAnswer: 0.008899927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 498 = -2. Determine s, given that 3 + z*s + 27*s**3 - 3*s**5 - s**2 + 34*s**2 - 112*s - 3 + 3*s**4 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21849 and 65547?\nAnswer: 65547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:36 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23626 (base 7) in base 16?\nAnswer: -1801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -3 + 6 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (924\/(-2156))\/(132\/72*28\/(-49))?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9222311.\nAnswer: 7, 103, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:53 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39a388 - -3?\nAnswer: -39a385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4\/9, -18 in decreasing order.\nAnswer: 4\/9, -0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40610, -38883, -37156, -35429?\n\"Answer: 1727*p - 42337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {o: 2, y: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*z + 5*z. Suppose 3*x + 3 = -z*y, -2*x - 12 = -3*x + 3*y. Differentiate -2*o**3 + 0*o**x - 3 + 2 with respect to o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 104?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1431415531 + -5?\nAnswer: -1431415540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 149. Suppose -v + 2*v = -n. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 452, 897, 1338, 1775?\n\"Answer: -2*m**2 + 451*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-40)*(-3 + -59) - -7)*32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-612)\/(-153)*((-17)\/16 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Suppose w*r - 42 = -2*p - 0*r, 64 = 3*p + 4*r. What is the highest common factor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j + 24*j - 428. List the prime factors of j.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/5 (b) 2\/7 (c) 3\/4 (d) 2\/5 (e) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -187453.8*0.03\nAnswer: -5623.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -408276965 + -73.2\nAnswer: -408277038.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 406546.815 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000001101110101111 (base 2) in base 16?\nAnswer: -581baf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -71, 4 in decreasing order.\nAnswer: 4, 3, 1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 215*k**2. Let u(z) = 408779*z. Give u(s(t)).\nAnswer: 87887485*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*y - 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(40) - 4*sqrt(160))\/(2*sqrt(200)).\nAnswer: -3 - 7*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 19*u**3 + 0*u**3)*(-u**2 + 5*u**2 - 2*u**2).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 5. Let c(w) = -10*w + 10. Let x be c(r). Suppose 2*u - x = -2*u. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnhnhhnhnnhhnnn. What is prob of picking 1 h and 3 n?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**2 - 56*i + 8. Give t(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -466\/317 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + -1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 580033357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 - 4.4. Let w = 8.6 + 0.4. Let t = w + -9.8. What is the second biggest value in 0.2, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91.82407ng?\nAnswer: 0.00000009182407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*a*m*u + a*u**2 + 556*a + 2511199*m - u**2 wrt a.\nAnswer: 106*m*u + u**2 + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3951\/(-11) + (-8)\/(-44). Let h = 566 + w. Calculate the highest common factor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sumjfusdmufjfms. Give prob of sequence juj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 11\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -3 - 120\/45. Which is the closest to -0.2? (a) -3\/7 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509993 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.489 + 22.489024811. What is l rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*h**5 - 27*h**4 + 12302*h wrt h.\nAnswer: 3260*h**3 - 324*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 940234 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*u + 67, 4*u + 6 = -3*i - 39. Let h be i - -10 - (-4)\/3. Put 23, -2, h in ascending order.\nAnswer: -2, h, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-13 + 2) - (1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 50*v + 14. Give r(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 4*x + 3*x)*(-2*x**2 + x - x) + (4*x**2 - 5*x**2 + 5*x**2)*(-x + 0*x + 3*x) + 2*x**3 + 0*x + 0*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 1.4, 2\/11?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, 457, 516, -1 in decreasing order.\nAnswer: 516, 457, 14, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15921144 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + v + 4*v = -25*x - 61, 4*v + 16 = -3*x - 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207765, -415514, -623259, -831000, -1038737?\nAnswer: -1246470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1842 + 1842 - 265*d)*(0*d + 4*d**3 + 0*d).\nAnswer: -1060*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9 = -i. Let x = 0.8 + -0.9. Which is the closest to x? (a) 1\/3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1. Let y(a) = -a - 12. Let r(l) = -1. Let x(t) = 6*r(t) - y(t). Let k be (1 - 0)\/(-3 + 2). Let o(i) = k*x(i) - 2*n(i). Determine o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466744 = -5*g - 4*r, 34*g - 37*g + r + 280026 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 0*t + 0*t + (5*t - 2*t - t)*(-2*t**2 - 3*t**2 + 3*t**2) + 4 - 3*t**3 - 7 + 23.\nAnswer: -8*t**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*m**3 - 11149857*m + 11149857*m + 93*m**3 - 193*m**3.\nAnswer: -242*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*v + 182, -7*y + 3*y - 35 = -v. What is the remainder when 937 is divided by v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68699699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 11*i**2 + 13*i + 3. Calculate j(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 906.915483 to the nearest 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 217. Calculate the remainder when 217 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(((u*u\/u**3)\/u*u)\/u*u)))\/u**(1\/3))\/((u*u**(-1\/3)*u)\/u)**7*(u**(-5)*u)\/u**(3\/7)*(u*u**(-1)\/u)**45 assuming u is positive.\nAnswer: u**(-388\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 910*j = 915*j + 97, -v - 234 = 14*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 10*d - 50. Let q be m(-12). Let g = q + 178. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1979, -15818, -53373, -126500, -247055, -426894, -677873?\nAnswer: -1011848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 30 = 0. Let z be ((-2)\/6)\/((-8)\/v). Which is the second smallest value? (a) 1\/6 (b) z (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 41.3. Let y = 0.55 - s. Round y to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204\/258 + (-24)\/(-1 + 4)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283315, 566628, 849941?\nAnswer: 1133254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*v + 1 = -7, 3*n + 6 = 4*v. Suppose -c + 15 = 4*c. Let q be -1 + c\/(-6)*-6. Is q at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*i - 22 - 12, -3*h = 4*i - 46. Let p be ((-374964)\/45 + (-8)\/i)*-90. Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2. Let d(n) be the second derivative of -29*n**3\/2 + 77*n. Calculate d(r(k)).\nAnswer: 174*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 783, 3035, 6595, 11301, 16991, 23503, 30675?\n\"Answer: -27*l**3 + 816*l**2 - 7*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/(-3 - (-21)\/9). Let x be (3\/(-24))\/((-5)\/s - -2). Which is the nearest to -0.02? (a) x (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 185 - 113. Suppose -2*y + 2 = -y. What is the smallest common multiple of x and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2*61\/(-4). Suppose -244 = -2*d + 4*d - l, -464 = 4*d + 4*l. Let f = w - d. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 13*x**2 - 16. Let f = 11335 + -11322. Determine b(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 8623681, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10608 and -163\/3744.\nAnswer: 63648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-nine fifths of a century?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one eighths of a centimeter?\nAnswer: 63750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97 - 255981?\nAnswer: -2558a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 5*o - 473, 2*o - f = 185. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101001010111010 (base 2) in base 7?\nAnswer: 510545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*t**2 + 2*t**2 + t + t**3 + 0*t**3 + 1 + 3*t**4 to the form z*t + m + r*t**4 + i*t**3 + p*t**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(12\/36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -403\nAnswer: 9\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 1519, 2191, 2883, 3601, 4351?\nAnswer: 5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*c = -1367, 5*k - 3*c = k - 1825. Let t be -4 - (-1 - 983*k). Let q = t - -967234. What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104489 and 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/35? (a) -4 (b) 1\/3 (c) 3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21541106 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: What is the product of -0.24 and -15.2?\nAnswer: 3.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**10\/10080 + u**9\/2520 + u**8\/2240 - 5*u**4\/6 + 6*u. Let x(s) be the third derivative of h(s). Factor x(n).\nAnswer: 3*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 1. Let s(o) = 5*o**2 + 5*o - 1. Let w(v) = s(v) + 6*y(v). Calculate the lowest common multiple of w(5) and 62 + -65 + (-5)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.2 + 277.8. Let z = w - 320. Put -0.2, z, -6 in decreasing order.\nAnswer: z, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 751*m + 258*m + 371*m)*(3*m**2 - 4 + 4).\nAnswer: -6*m**4 - 366*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 20*l**2 + 274*l - 4284. What is f(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 9 - 2. Suppose -2*z - 1 = n, 2*n - h = -0*n - z. Solve -n*w - 2 + 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(684)*-2)**2 + (sqrt(684) + sqrt(684) + 1)*-5.\nAnswer: -60*sqrt(19) + 10939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from fifkfyfff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/252*14)\/((-88)\/(-21) - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 21*v**4 - 5640*v**3 + 19923*v**2 - 12684*v - 9540 = 0?\nAnswer: -3\/7, 2, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111000 + -100?\nAnswer: 1000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 47.01612 tonnes?\nAnswer: 47016.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84427 = -16*q - 7877. Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 8) + 2*1. Solve 0 = -3*w, 7*w = -d*b + 2*w + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20677 - -20791. Which is smaller: 19 or x?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2.8. What is the second biggest value in 1\/7, p, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 875 - 1465. Let s = -185 - l. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/8 - (-3 + (-1 - -1)). Suppose -3*q + 2 = -5*q - 4*u, -2*q - 7 = -u. Is h < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = d, -4*u - 3*d - 2*d = -4. Let n = u + -8. Sort -4, n, -3.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 5684*y - 2925420. What is l(-445)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 7. Let x be o(7). Suppose x = 3*l - 32. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 - 2*h**2 + 3*h - 2. Let r be n(1). Put 2, r, 0 in ascending order.\nAnswer: 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 2*g + 3. Let k(t) be the third derivative of t**6\/120 + t**5\/20 - 5*t**4\/24 - t**3\/6 - t**2. Let o be k(-4). Does 11 divide j(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-1)*250\/9082000*-239?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 + j**2 - 2*j - 10 + j - 2. Let b be 2*3\/(-36) - (-61)\/6. Let d(c) = -c**3 + 8*c**2 + 21*c - 10. Let h be d(b). Determine n(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3*v + 4 - 4)*(-5 - 2*v + 5)*(2 + 2*v - 2).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44 and 0.2226116.\nAnswer: 9.7949104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-2) - 54) + 2. What is the tens digit of 0 + ((-22311)\/n - (-2)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 6232.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -115 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**31)\/(p*p**(-14)\/p)*p**7\/(p*(p**(-5)\/p)\/p) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -724 + 727. Suppose -l + 8*c + 489 = b*c, 0 = -4*c. List the prime factors of l.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 - -94. Let g = 7.1 - 37.8. Let y = -31 - g. Which is the biggest value? (a) h (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f - 169*f + 169 = 58. Let v(i) = i. Let t(w) = 5*w + 4. Calculate f*t(z) - 2*v(z).\nAnswer: 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:54 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -152*z - 2722. What is m(-21)?\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1251, 1091, 617, -327, -1897, -4249?\nAnswer: -7539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375115605.\nAnswer: 3, 5, 25007707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 129.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 + -315. Let c(l) be the third derivative of 0*l**4 + 0*l**6 + 0 + 7\/6*l**m - 5*l**2 + 1\/70*l**7 + 0*l + 0*l**5. Differentiate c(n) wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0 - (0 - 0)). Let j(b) be the second derivative of -b**5\/20 - b**3\/6 + b**2 - 4*b. What is the units digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f + 12. Let q = 7 - f. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/498 and 8\/33.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*4\/(-120)*(-805)\/(-138).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((694\/(-88) - 2) + 948\/3792)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29283, -57962, -86685, -115452, -144263, -173118, -202017?\n\"Answer: -22*g**2 - 28613*g - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -76219.\nAnswer: 3\/76219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/697 in -0.4, -0.1, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xezxexxxexzx?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/3 + 8*a**3 + 13*a**2\/2 + 14*a. Calculate the remainder when 116 is divided by k(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 4*v**5\/5 + 6*v - 1. What is the first derivative of p(q) wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7925, 15852, 23849, 31952, 40197?\n\"Answer: 6*d**3 - d**2 + 7888*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.1 + -68. Let h = u - -8.3. Let j = 3 - -2. Put h, -1, j in increasing order.\nAnswer: -1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u**(-18)))\/u*u)\/u*u*u**(-1\/11)*u*u)\/(u\/((u**(-5)*u)\/u))**20 assuming u is positive.\nAnswer: u**(-1112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/p**(-7))*p*p**(2\/3) assuming p is positive.\nAnswer: p**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5588996409.\nAnswer: 3, 37, 5594591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -52*o**2 - 13*o. Let q = -49 + -16. Let c(b) = b**2. Let h(z) = q*c(z) - t(z). Find the second derivative of h(m) wrt m.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (130\/(-10) + 18)*(0 - -2). Solve 4*a - g = -a, 0 = 5*j - 4*a + 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - cda348?\nAnswer: -cda345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 216. Let t be (i + 14)\/(1\/(-6)*-16). Factor b**2 + 0*b + 0 - t*b**4 - 1\/4*b**5 + 0*b**3.\nAnswer: -b**2*(b - 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 6, g: 1, l: 2, e: 2}. What is prob of sequence ldu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 69096648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9*-1210\nAnswer: 10890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 29*q.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4800000 = -2*q - 5*l, -q + 2400000 = -l. Suppose 13*v = 16*v + q. Round v to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/(-2)*(-69)\/(-644).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93273994*f + f**2 - 93273994*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxxn when four letters picked without replacement from {x: 3, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3394 less than or equal to -3394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 427 - 272?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 2. Let v(i) be the first derivative of -i**2 - 3*i - 2. Let q be v(-4). What is the units digit of l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 4.1?\nAnswer: -61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.78 - 107.38. What is the nearest to 1\/9 in q, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejdecberjecc. Give prob of picking 1 j and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 bigger than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 410*p + 250 = 405*p, 0 = -5*p - 25. Calculate the highest common divisor of k and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193*u = -1311*u + 2006 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -53 + 68 + 56\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -14. Let b(f) = -f**3 - 8*f**2 - 18*f - 7. Let v be b(-4). What is the third smallest value in m, 0.4, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5 = 3*h, -20 = -5*h - d - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5689\/3 - -1897. Sort -2, -2\/3, k, 32, -3 in increasing order.\nAnswer: -3, -2, -2\/3, k, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 11168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3*x**2 - 4*x - 2. Let k be z(-4). Put k, 5, -1 in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkv when three letters picked without replacement from {v: 2, k: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bvvbbbvvvvivbvvikb?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6 + 5 + 18*z + 7. What is the tens digit of g(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(320) - -1*sqrt(320))**2 - 3*1*sqrt(320)) + 4 + (sqrt(40) - -1*sqrt(2560))\/(sqrt(32)\/sqrt(4)*1).\nAnswer: -1276 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197204 - -0.3389.\nAnswer: -197203.6611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -98593.77 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968055.\nAnswer: 5, 277, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/5 + 2\/(-10). Suppose b = -3*a - 2*a - 4*d, 4*a + 3*d = -1. Which is greater: 6\/71 or a?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -54?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from nmttnnjmnj.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -5, 399, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-28))\/(24\/(-224))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 91.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56555189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -52*y**3 - 117*y**2 + 77*y - 230. Determine w(3).\nAnswer: -2456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 2*s + s + 56*s + 58*s.\nAnswer: 119*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 118*p - 2342. What is o(-17)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 - -10 - ((-6)\/2 + 1) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110101001010 + 100?\nAnswer: 1001110101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 19. Let v = 21 + -19. Suppose c - v*c + 12 = 0. What is the remainder when j(c) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/20)\/((-127)\/(-2540)) - (2 - 2). Factor -2\/3*x**2 + 7\/3*x - p.\nAnswer: -(x - 3)*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 37. Suppose 4*t = -7 + q. Solve t*h + 0 = -d - 2, 5*d + 4*h + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccvkvvvycvvyvvvyvv. What is prob of sequence cc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -57, -52, -49, -48?\n\"Answer: -y**2 + 10*y - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*x = -l - 3, 5*l - 4*x = -50. Calculate the common denominator of l\/(-15) - (-267)\/(-80) and -29\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from mle?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/60 + q**4\/2 + 5*q**3\/6 - 22*q**2. Calculate p(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by -1.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-18)\/(-15)*(-10)\/(-4). Let d(y) = -y**3 + 4*y + 4. Calculate the smallest common multiple of d(s) and (11*1)\/((-3)\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from pzigpdipguzz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -431, -305, 45, 733, 1873?\n\"Answer: 19*t**3 - 2*t**2 - t - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14285 - 1371407\/96. Find the common denominator of -65\/1152 and q.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 - 8*a**2 + 4*a. Let z(n) = 30*n - 478. Let c be z(16). Let d(f) = -4*f**3 - 9*f**2 + 3*f. What is c*l(s) - 3*d(s)?\nAnswer: 2*s**3 + 11*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 107040*s**3 - 5*s**2 - 94*s + 98. Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.6295ml to litres.\nAnswer: 0.6166295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 + 2*h + 6912. Does 72 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-30)*-2 - (-26)\/10. What is the nearest to 0 in -4, g, -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 184824267860 and -82.\nAnswer: 184824267778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5306.51346 to the nearest ten.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-98)\/(-343)*6\/3\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 521.1 - 521. Which is smaller: -7.9 or y?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/12)\/((-27)\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 - 87. Let o = z - 60. Let w = 107 + -107. What is the third biggest value in -2, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4))\/((-2)\/8). Let q be n - -1 - (-12)\/(-8). Let z = -1 - -1. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 51. Determine q(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -137*w**2 - 23. Let b(f) = 273*f**2 + 42. Determine -5*b(m) - 9*y(m).\nAnswer: -132*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 343*f**4 + 204*f**2. Let p(t) = 229*t**4 + 136*t**2. Let a(w) = -5*c(w) + 8*p(w). Find the third derivative of a(j) wrt j.\nAnswer: 2808*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20484661*w - 30885411?\nAnswer: 20484661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14997 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 183715*u = 183717*u + 136, -68 = -n - 2*u for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) 4 (c) -134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-226)\/(-6))\/(3\/9). Suppose j + 15 = 4*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*j**2 + 2\/7*j**4 + 2\/7*j - 2\/7*j**3.\nAnswer: 2*j*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94039 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698 divided by -8?\nAnswer: 849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6083 by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/27 + 5 + 188\/(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202220101210 - -200?\nAnswer: -202220101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12495 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/12 - v**3\/2 + 3*v**2\/2 + 1752*v. Let i(d) = -d**2 - 4*d + 2. Give -3*i(o) + 4*m(o).\nAnswer: -o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110122 (base 3) to base 14.\nAnswer: -1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1925 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3833588183 to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 + (-3 - -6) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 204 = -8*i. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 3*x = a - 5, 0 = -8*x - 3*x - 0*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3575.09 - 3590. Let y = p + -0.09. Let g = y + 15.5. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 374*v**2 - 665. Let u(k) = 9*k. Determine u(x(h)).\nAnswer: 3366*h**2 - 5985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 87 = -2*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2966581029 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -175e4 (base 15) to base 9\nAnswer: -124617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -7.89. Let m = c - -0.89. What is the nearest to m in -1\/5, -0.4, -3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0621 and -2.\nAnswer: -2.0621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*q - 322 = 346, -668 = -2*o - 4*q. What is the highest common factor of o and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1964*h**3 + 1985*h**3 - 3943*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aazza. What is prob of sequence aaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -559*j*r**2*t - 2073*j*r**2 + 7*j*r*t - 70*j*t - 2*r**2*t - r**2 + 70*r*t - 2*r + 2 wrt r?\nAnswer: -1118*j*t - 4146*j - 4*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + m - 6. Let c(k) = k + 2. Let b be c(4). Suppose 0 = -77*s - 264 + 100 + 1165. Let t(a) = 5*a**3 - 2*a + 13. Give b*t(l) + s*z(l).\nAnswer: 4*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 19552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018576 to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 51*s**2 - 6*s - 298. What is q(-51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7\/d**6)**(-6\/11))**(-6\/31) assuming d is positive.\nAnswer: d**(36\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -21 in ascending order.\nAnswer: -21, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.28 (b) -4 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 12*n + 29*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 3.03.\nAnswer: 3.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14462, -26549, -38636, -50723, -62810, -74897?\n\"Answer: -12087*h - 2375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -9 - ((-2)\/(-4))\/((-9)\/19530). What is the highest common divisor of b and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 + 0.3. Let j = s - -7.4. Which is the biggest value? (a) 0.1 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -459079\/884052 + 1\/17001. Calculate the common denominator of -17\/65 and b.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 718 + -719. Sort -2, h, 4.\nAnswer: -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256067482, -256067484, -256067486, -256067488?\nAnswer: -256067490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 2*a + m + 136, -2*a + 4*m - 10 = 0. What is the nearest to -0.12 in 3\/4, a, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 + 6918\/48. Let f = 145 - q. Put f, -2\/3, 0.7, 2\/3 in ascending order.\nAnswer: -2\/3, f, 2\/3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -133*s**2 + 28422252*s + 14580615276 + 4*s**3 + 9510*s**2 + 9091*s**2 = 0. What is s?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 1781*n**2 - 154832*n + 480630. Let a(v) = -13*v**3 - 10684*v**2 - 928993*v + 2883775. Let l(y) = -3*a(y) + 17*h(y). Factor l(z).\nAnswer: 5*(z - 3)*(z + 179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*s + 114*s = -5. Let l(f) be the third derivative of -1\/8*f**4 + 0 + 1\/2*f**3 + 0*f - f**2 - 1\/20*f**s + 1\/40*f**6. Suppose l(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, 5.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from qqnqqnqwkkwkwnnwqqq?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 + 60*q + 124 = 0. Calculate q.\nAnswer: -2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201153 (base 7) to base 9\nAnswer: 51626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000103189 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8535275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 1\/6*j**5 + 0 + 18*j**2 + 0*j + 5\/6*j**3 + 0*j**4. Find the first derivative of h(w) wrt w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:59 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34817 is divided by 8330?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 - ((-9 - -20) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p - 2*p + 3*p - 6*p in the form d + h*p and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1772*j - 6216. What is the remainder when t(4) is divided by 426?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**6\/180 + a**5\/24 + 2*a**3\/3 - 5. Let i(t) be the third derivative of n(t). Find the second derivative of i(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.01, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/9070524 and -13\/2705244?\nAnswer: 154198908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2151908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 7*a - 1. Let t be (-1 - 3 - 0) + 5 + 12. Suppose 0*f = -f - 20. Let w = t + f. What is j(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2592.5 + -2593. Let h be (-4)\/(-16) + (-1)\/(-4). What is the closest to -2 in h, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {r: 8, j: 5, w: 5, o: 1}.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and 4391555?\nAnswer: -281059520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742 and 2943143?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89298 and 1584.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.0747 (c) 21 (d) -27 (e) -79 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l - 4. Let v be s(-3). Let t(h) = 4*h + 3 + 6*h - 3 - 5. Let y be t(4). What is the greatest common divisor of y and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 248?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 + -107. What is the remainder when c is divided by 25 - 1 - (5 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 5*p**2 + 5*p**2)*(33*p**3 - 6 + 6) + (2*p**2 - 2*p**2 - 2*p**3)*(-2*p**2 - 1 + 1).\nAnswer: -29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9215 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/178429261?\nAnswer: 1\/178429261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -9. Let d = -32 + o. Let k = d - -57.000066. Round k to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Simplify -5*4*(-3*(-2*-1*sqrt(1575)*1 + -2))**2*1.\nAnswer: -1134720 + 21600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*b - 924 + 297 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -907, -4, 3, -5 in ascending order.\nAnswer: -907, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5.91. Let y be (6\/(-45))\/((-8)\/((-320)\/4)). Let z = -3.1 - -3. Which is the closest to m? (a) z (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1 - 824\/(-820)). Let w = -140 - d. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.3, 0.4, -1\/6, -0.2, 1.86, 3\/4, 11?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -23 - (55 + -43)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 + 519?\nAnswer: 520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116860401 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -0.3, -8\/13, -7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.6 + -9.6. Which is the biggest value? (a) 1\/5 (b) -11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -997, -3398, -8069, -15766, -27245, -43262?\nAnswer: -64573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*a**4 - 19*a**4 + 1 - a**3 + 11*a + a**2 + 11*a + 72*a**4 to o + d*a + t*a**4 + j*a**2 + s*a**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g**2 - 5*g + 4. Let i be m(6). Let t be i\/45 - 4\/18. Suppose -p - t = -2*p. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240159346 divided by 994\nAnswer: 241609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65, 119, 161, 191, 209, 215?\n\"Answer: -6*h**2 + 72*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/21 - 2*d**3\/21 - 4*d**2\/7 - 3*d - 1. Let f(n) be the first derivative of s(n). What is p in f(p) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r - 2*c + 10, -r = c + 7. Let q be 2\/r - 6\/4. Which is bigger: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16005489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**6\/72 - l**5\/40 - 2*l**3 - 3. Let z(w) be the third derivative of k(w). What is the second derivative of z(v) wrt v?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000231113 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let k(u) = -2*u**2 + u**2 - 2*u**2. Let q(y) = 3*k(y) + 8*n(y). Let s(j) be the second derivative of -j**3\/3 - j. Calculate s(q(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2*x**3\/15 - x**2\/5 - 12*x\/5 + 56. Factor h(m).\nAnswer: 2*(m - 3)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4))**(-1\/42)\/(t**(-3\/2)\/t)**(-6) assuming t is positive.\nAnswer: t**(-209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -5*j**6\/6 - 4*j**5 - 5*j**4 + 32. Factor b(a).\nAnswer: -5*a**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/88 and -89\/39996?\nAnswer: 79992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39089*r**3 - 1030*r**2 + 15*r wrt r?\nAnswer: -234534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d + 25. Let h be (-110)\/99 - (-448)\/63. Suppose h*y - 65 = d. Calculate the greatest common divisor of y and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4006640.\nAnswer: 1\/4006640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 1. Let x be z(1). Suppose 0 = 2*v + 3*s - 22, -3*v + x*s - 2*s = -7. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h**2 + 5*h + 5. Let r(j) = -2*j**3 + 4*j**2 + 4*j + 5. Let i(k) = -4*g(k) + 5*r(k). Let d(q) = 7*q**3 - 6 + 6 - 6. What is 5*d(u) + 6*i(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 91?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 624076, 624091, 624106, 624121?\nAnswer: 624136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1187897 times -0.2\nAnswer: 0.02375794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 553853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j - 6. Give t(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16660 is divided by 523?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130614.2113 - -130599. Let t = -15.131 + -0.069. Let w = p - t. What is w rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 5*o - 28. Let d be (6\/4)\/(o\/1508). What is the greatest common factor of d and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 11 + -4 + 11 - (-4 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = m. Suppose -3*r + 140 = -5*t, -3*r - m*t + 63 = -93. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -8.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-24)*128*(-58)\/(-13920).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 200. List the prime factors of f.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 + -1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 450\/78 - (-12)\/52. Which is greater: s or -42?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404170319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 + 310 = 5*k. Let t = k + -16. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2390 + -71729\/30. Let x = -1\/6 - g. Suppose -5 = -l - 4. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {f: 3, n: 2, t: 3, b: 1, h: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y. Let h(k) = 5*k - 7. Give o(h(u)).\nAnswer: 75*u - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -3, 1176?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15142818?\nAnswer: 2, 3, 17, 31, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -25, 24, 125, 296?\n\"Answer: 3*v**3 - v**2 - 3*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {f: 8, w: 5}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5398.33 to the nearest ten.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48204647.\nAnswer: 48204647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -63*z + 954. Suppose 2*n + 24 = -2*n. Calculate the remainder when 4\/n - 101\/(-3) is divided by k(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8681234051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-35)*180\/(-54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3096780\nAnswer: -1\/3096780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-5))\/((-1)\/38*3). Suppose 1777*f + 2888 = 1781*f. What is the greatest common divisor of o and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let r(g) = -2*g**2 - 10*g + 14. Let n(d) = r(d) - 3*t(d). Let z be n(-9). Let c = z - -767\/9. What is the smallest value in 2, -6\/7, c?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 14*u + 18. Let j be 2\/(-9) + 2\/((-90)\/(-595)). Let c be t(j). Solve -10*a + c*a = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/357260 and 3\/1130?\nAnswer: 40370380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 69*p**3 + p**2 - 1. Let t be b(-1). Let a = t + 348\/5. Suppose 6\/5 + a*h**2 + 9\/5*h = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5084 divided by -4.\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 156*g + 337*g**2 - 408*g**2 - 24*g**3 + 33*g**2.\nAnswer: 2*g*(g - 13)*(g - 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 2*f - 4. Let k be c(4). Let o = k - -117. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 14. Let v be m(3). Calculate the remainder when 67 is divided by v*56\/4 - 8\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3591475 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/4, -46\/19, 1, -5\/4 in descending order.\nAnswer: 15\/4, 1, -5\/4, -46\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 11\/2*g**2 - 2 - g - 1\/3*g**3. Is s(10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 30 - (6 + -12 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149 and -4.\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82945 - -1198265. Let g = v + -1115201.9927. Let b = g - 118. Round b to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*36\/(-405))\/((-1)\/3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94732408*n**4 - 38385682*n wrt n?\nAnswer: 1136788896*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*p = -92, -4*p = 15*a - 70 - 6 - 67 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. Suppose 0 = 4*o - 9*o + l*t - 4, -10 = -o + 4*t. Let s(r) = 6*r**2 + 3*r + 3. Is 7 a factor of s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -3\/7, -4\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13143648 divided by -3285912\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/3 (b) 0.042 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 55 (b) -11 (c) -1\/4 (d) 0.1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4908 + -4908. Which is the closest to 0.4? (a) z (b) -2 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632951 is divided by 125.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22 - 2*n**2 - 22 - 2*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 5025500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 296.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 - -383. Calculate the least common multiple of w and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - o + 6. Let s = o - -2. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 2430446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37921725, 75843457, 113765189, 151686921?\nAnswer: 189608653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 65*t + 2052. Calculate a(-30).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcivvtppevtcve. Give prob of picking 2 c and 1 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1220 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.05 - -1. Let v = d + 0.1. Let q = 73716.1 - 73716. Which is the second biggest value? (a) q (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -104\/11, 2\/9, 0.4, -0.01?\nAnswer: -104\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2416 - 2322. Solve 100*v = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4145658589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*48\/(-30)*(-3)\/(-6).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 318817, 1275437, 2869803, 5101915, 7971773, 11479377, 15624727?\n\"Answer: 318873*d**2 + d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 15*b - 96. Let p be f(4). Solve 0 = 3*h + p, -28 + 16 = m + 2*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 282, 1487, 2 in descending order.\nAnswer: 1487, 282, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 != 265295\/3521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, k: 4, s: 1}. Give prob of picking 1 s, 1 k, and 2 i.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 629820?\nAnswer: 629820.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 21. Let v(m) = -m**2 + 8*m - 13. Let q be v(7). Let b be t(q). Calculate the greatest common factor of b and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -0.3, -1\/12, 2, 5 in ascending order.\nAnswer: -0.3, -1\/12, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(4\/7))*w**(1\/22))**(-50) assuming w is positive.\nAnswer: w**(2025\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1065285708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*o + 3*f + 69, 46 = 2*o + 5*f. Find the first derivative of -93 + o + 57983*z - 57953*z wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2177 + 2181 + d**2 + 2185 - 6544 - 338*d**3 to the form t + l*d**3 + q*d**2 + h*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*c - 6, 0*r + 5*c = -5*r - 10. Let u = -15 - -10. Let g = u - -8. Sort g, r, 2 in increasing order.\nAnswer: r, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from {k: 16, h: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 8:00 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c. Let z(r) = r - 4. Let i be z(2). Is 2 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524 a factor of 56441678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*t + 3993, -24 = 2*t - 20. List the prime factors of b.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97827 + 6415 = 652*d + 257*d + 6070 for d.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o + 82. Let s(z) = 12*z + 82. Let d(k) = -2*a(k) + 3*s(k). Calculate the remainder when d(0) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = z - 12, -b + 24 - 4 = 3*z. Suppose 0 = -2*r - 5*n + 65, -15 = -z*n + 3*n. Suppose -r + 0 = -5*i. Solve -3 = -v - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a - -3?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from qqishqqhkqikiiq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -27*o**2 - 144*o + 108. Let p(i) = 18*i**2 + 96*i - 72. Let m(t) = -5*k(t) - 8*p(t). Let m(c) = 0. What is c?\nAnswer: -6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (452\/176 + 9\/(-12))*11. Calculate the greatest common factor of 496 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06474528 rounded to 5 decimal places?\nAnswer: 0.06475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -198.265534 from 0.141222.\nAnswer: 198.406756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5486*l + 5488*l - 990 = 0. Calculate the lowest common multiple of 77 and l.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(26\/(-4) - -8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 249873, 252090, 254307?\n\"Answer: 2217*n + 247656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1421, -2842, -4263, -5684, -7105, -8526?\nAnswer: -9947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372524541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = -59*y + 637226 + 4125574. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b - 97*b - b**3 + 19429 - 19427)*(-1 - 1 - 1).\nAnswer: 3*b**3 + 333*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b - 4*b + 2 - 6*b**2 + b + 7*b to m*b**2 + u*b + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -15. Let o(v) = -v**2 - 16*v + 87. Let f be o(0). Let u = f - t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -959 or 2.29?\nAnswer: -959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let u(s) = -7*s. Let t(i) = -u(i) + 6*y(i). Let g(f) = 625 - 49*f + 632 - 1257. What is t(g(a))?\nAnswer: -49*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -0.137.\nAnswer: -0.1918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43936, 43940, 43944, 43948, 43952, 43956?\nAnswer: 43960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1139, -1137, -1135, -1133?\n\"Answer: 2*j - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/20*25\/15. List the prime factors of 1\/(-3) - (-3422)\/6 - b.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/21*((0 - 3) + -3). Suppose -z + 65 = 3*o, 2*o - 9*z - 46 = -7*z. Solve -g = -b*g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-5))\/(-4))\/((-14)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 0*n**2 - 9*n + 9*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -80.035. Let p = -0.965 - z. Which is the nearest to -3? (a) p (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:56 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 825*i - 17766.\nAnswer: (i - 21)*(i + 846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - 3373?\nAnswer: -3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -194\/3. Let d = 84 + -85. Which is the nearest to d? (a) n (b) 8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7337248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: aed17a (base 15) to base 8\nAnswer: 37656133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3424 + 6*3\/((-9)\/2). Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*k**2 + 48*k - 110*k + 52*k.\nAnswer: 5*k*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 10. Suppose 0 - 20 = -v*b. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/250 + -57\/250. Let j = 10 + -6. Which is the third biggest value? (a) n (b) j (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 7:15 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*h = -81*h + 4014. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -380aa - 3c?\nAnswer: -38108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 7. Let c = 0 + w. Suppose c*k - 13 = 5*r, -r = k + 2*r + 1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703983800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20743*(-2)\/14 - (-4)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + r)*(2 - 1 + 1) + (1236 - 1236 - 57*r)*(-7 + 2 + 2) - 2*r + 0*r + 0*r as z + m*r and give m.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91aa - 282?\nAnswer: 8d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 2*l**2 + 2*l - 2. Let k be i(2). Let j(o) = o**2 - o. Let w be j(k). Suppose 110 = w*f + 3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + -8.7. Let i = 4 + a. Let v be 2 + -3 + (-2)\/(-6). What is the nearest to 1 in i, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 928 + -924. Let n(x) be the second derivative of 0*x**3 - 6*x - 4\/15*x**6 + 0 + 0*x**5 + 0*x**2 - 7\/12*x**c. Find the third derivative of n(j) wrt j.\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) - (sqrt(160)*-1 - sqrt(160)) - (sqrt(480)*-1)\/sqrt(12))\/(sqrt(648)*2 - sqrt(40)\/(-2*sqrt(5))).\nAnswer: 14*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972132 divided by 5964.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24065.\nAnswer: 5, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 4*m - 24*m = -52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 255963305 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*((sqrt(500) - (1 + sqrt(500) + -1 + sqrt(500))) + (sqrt(500) - (sqrt(500) - -1*-3*sqrt(500))))*-5 + 2)**2.\nAnswer: 1600*sqrt(5) + 200016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtttgogtttg. Give prob of sequence tg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - 5*(sqrt(1900) + 2*sqrt(1900) + sqrt(1900))) + 1*(sqrt(1900) + 0).\nAnswer: -180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*y - 26072, -77*y = -73*y + 5*c - 26009. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1424 - 625. Let n = y - 463. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 7, g: 2, k: 2}. Give prob of sequence yg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 - 4*n - 5. Let i(j) = -2*j + 5. Let b be i(5). Let w be m(b). Suppose 5*x - 10 = w. What is the remainder when 37 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let j(d) = -9*d - 42. Let f(h) = h + 4. Let p(s) = 63*f(s) + 6*j(s). Give i(p(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 983152 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 1362708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 20 = -18*n + 20*n, 5*n + x = -23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-12)*16*(-12)\/480*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -113. Suppose 3*n - 4 = n. Factor 0*s**n + 2*s**4 + 3*s**j + 2 - 7*s**2.\nAnswer: 2*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 159?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -42434?\nAnswer: -42434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 12*u + 52. Suppose 3*a - 15 = 15. Suppose 956 = 2*n - u*h, -2*n + 7*h = a*h - 928. Round n to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -4*m - 74 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 + 206.5. What is the nearest to 0 in r, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/9 - -4\/9. Let h = -0.1 + 0.3. Let f be 7\/(-30) + -2*1\/(-5). Which is the nearest to 0.1? (a) d (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8 - -4?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482399775.\nAnswer: 5, 23, 193, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0 - 3 - -88. Factor 0*f**3 + 86*f - v*f + f**3.\nAnswer: f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.15 (b) 6 (c) -1 (d) -6\/11 (e) 0 (f) -1\/7 (g) 26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2333935, 2333935, 2333947, 2333977, 2334031, 2334115, 2334235?\nAnswer: 2334397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481*l - 371*l + 105181 + 101655 = -1382*l for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3546694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + k + 35 = -4*k, 4*i - 135 = -3*k. Let c = 32 - i. Find a such that 0 - 6\/7*a + 2\/7*a**c = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.02, 0.01247 in descending order.\nAnswer: 0.02, 0.01247, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + cb488?\nAnswer: cb486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 8*v + 41. What is o(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/36 and (-10)\/(-72) - (-3 + (1 - 0)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let u(a) be the third derivative of -a**4\/4 + 2*a**2. Give w(u(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*y + 22 - 10, -3*t = 5*y - 56 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 14*k - 13. Let l be o(13). Suppose -z - 4 = -q + 2*z, 19 = -2*q - 3*z. Which is the third biggest value? (a) 0.5 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (91 + -139 + 41).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24.654 - -1881.61\nAnswer: 1906.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*(-4)\/18 - (-288)\/(-81) and 71\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*x - 45680661*p**3 - 3333*p**2*x - 592*p*x wrt p.\nAnswer: 6*x - 274083966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a*b**3 - 121*a*b**2 - 6*a*b - 4*a + 41*b**3 + 13*b wrt b.\nAnswer: 270*a + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -10.\nAnswer: -10, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 1020338219.14.\nAnswer: 1020338214.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-30)*-2)\/2*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 - -230. Let v = -0.17 - 0.23. Let m be (-40)\/(-30)*6\/4. What is the closest to m in n, -3\/19, v?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5)*b)**(9\/4))**(-10\/9) assuming b is positive.\nAnswer: b**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40416 + -40377. Solve -25*p + 28 = -j*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 20*x + 37. Let c be p(-18). Let i(g) be the third derivative of 9*g**6\/40 - g**5\/20 + g**4\/12 + 7*g**2. Does 26 divide i(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 60 = -7*x. Calculate the greatest common factor of x and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-7)\/(-8))\/(77 - 78)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61035, 121996, 182963, 243936, 304915?\n\"Answer: 3*k**2 + 60952*k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 58 - 63. Let s(t) = 8*t + 5. Let j be s(v). Is -40\/9 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21305.\nAnswer: 5, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/62 - 672\/(-992)*28266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (208\/520)\/(18\/490) + -14\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 20*k + 13. Is o(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367 minus -3541?\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - j + 11 = 0, -q - 49 = 3*q - 5*j. Let n be q\/(-1) - (9 - 8). Sort 6, n, 1 in descending order.\nAnswer: 6, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:52 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*v - 1049, 10*v - 11*v - 2*o + 212 = 0. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/42 - 300*y**3\/7 + 202500*y**2\/7 - 481*y. Suppose q(h) = 0. Calculate h.\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -3 (c) 2\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207091 plus 5?\nAnswer: 207096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 192 = 32*q - 44. Solve q*i + 4 - 16 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -221822 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107750 and 750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344.618 minutes in microseconds?\nAnswer: 80677080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*k + 47, -4*i + 64 = i + 2*k. Let c = i + -4. Solve d = 3*d + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-20)\/(w**(5\/4)\/w)*(w*w*w**2)\/(w*w\/w**(3\/8)) assuming w is positive.\nAnswer: w**(-143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220 - 20011001100?\nAnswer: -20011012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*r + 20 = -96*r, -4*s - 3*r = 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -17.3, -2 in descending order.\nAnswer: 0.3, -0.5, -2, -17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**5\/60 - 19*c**4\/24 + 17*c**3\/6 + 17*c**2. What are the prime factors of g(23)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*x = 15, 0 = -3*x - 0*x + 3. Let p be -5 - (m - (2 - 1)). Let v = -0.7 - 3.3. Which is the second smallest value? (a) -0.4 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18672 by 1.\nAnswer: -18672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -33, -17, 15, 69, 151, 267, 423?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:11 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 47 = -s - 4*v, 2*v = 6. Find l such that -2*l + s*l + 4*l**2 - 6*l - l**3 - 2*l**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 = 3*r. Let u = 27 + -9. Let v(n) = -5*n + 91. Let g be v(u). Sort 0, 37, r, g in increasing order.\nAnswer: 0, g, r, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603172229 by 137.\nAnswer: -4402717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 - 3*k**2 + 3*k + 1. Let j(b) = -b**3 - b**2. Determine c(l) - 4*j(l).\nAnswer: 8*l**3 + l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(12\/(-179610)))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q**2 + q - 4. Let g be c(7). Suppose 0*t + g*t = 555. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*f = 1993, 3*v - f - 3*f = 1948. Suppose -9*h + v = -5*h. Calculate the lowest common multiple of 7 and h.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47985256 and 4488.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8)*(-8)\/(-120)*72?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0, -5, -4, 2 in descending order.\nAnswer: 24, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*g - 9783 + 7073 = 946*g + 13174 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6120 and 60?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(342)\/sqrt(6))\/sqrt(3) + -5*3*sqrt(19))*4 + 3)**2.\nAnswer: -1008*sqrt(19) + 536265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0211684093 to six dps.\nAnswer: 0.021168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -752\/39 or -19?\nAnswer: -752\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3806*a**5 + 262195 - 262195 - 5445*a wrt a.\nAnswer: -76120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h - 2970 = -2314 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 371.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2\/2 + 14. Let w(d) = -2*d. What is c(w(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(6\/4*34\/(-51))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {j: 1, i: 1, r: 1, w: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35934882*j - 43140904?\nAnswer: -35934882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301 - -223?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by -5802\nAnswer: 118\/2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**5\/60 + o**4\/4 + 3*o**2\/2 - 4*o. Let a(s) be the first derivative of v(s). Let l be a(-6). Solve -b - 3 = -l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(8\/(-16)). Let z be -51*((-12)\/(-9))\/r. Let v = z - -105. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - -2) + -3 + -1. Suppose -2*j + n*j = 10. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-42))\/((50\/15)\/((-14)\/(-3)))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 - 1174870.\nAnswer: -1174869.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97513083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.59 + 1.645. What is w rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145319406 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(143) - sqrt(143))\/sqrt(11))**2 + 5 - -2*6*3*sqrt(13)) + 2.\nAnswer: 7 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose 2*v - v + 2 = -2*u, -4*u - a*v = 8. Suppose -s + 2*m = u, 4*m = 5*s - 0*m. Is 6\/5 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(21175\/(-1089) - 4\/72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14916395 to the nearest ten thousand.\nAnswer: -14920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 43)*(-1 - 0). Let u = a - 27. What is the smallest common multiple of 12 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 9*j**2 - 9*j + 7. Let z be y(-8). Let h = 10 + 0. What is the greatest common factor of h and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + t + 1. Let h(o) = -159*o**2 + 6*o + 3. Give h(c) - 5*v(c).\nAnswer: -169*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -30*j**7\/7 - 4*j**5\/5 - 5*j**3\/3 + 22*j - 201. What is the third derivative of x(f) wrt f?\nAnswer: -3600*f**3 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-192)*(-2)\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 53*t + v - 463 = 0, 0 = t - 4*v - 453. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -890500 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 12 - ((17 - (-27 - -44)) + -12 + 30).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10131977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 73 = -21. What is the closest to -0.1 in -0.4, c, 21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.1826 millennia to centuries.\nAnswer: 8671.826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1953*k = 1950*k + 60. Solve 5*d + 4*q + k = 0, 0 = -6*q + 2*q - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 t when three letters picked without replacement from btbttuttejctttjcb.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135 + -9 - (-1 + 4 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 687.9 + -688. What is the closest to 0.06 in k, -2\/5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18954 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-555)\/3750)\/((-2)\/15) and 127\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -37. Let m = -2 + w. Let l = m - 18. What is the smallest common multiple of l and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076 + 16309 = 15*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13284*k**2 - 6661*k**2 - 6652*k**2.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1423*x = 1314*x + 545. Calculate the lowest common multiple of x and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -159, -160?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*k**3 - 286 - 263 + 549.\nAnswer: 1031*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*w = 8, 3*b - 72 = -4*w - 56. Let i(z) be the second derivative of -10*z + 0*z**3 - 8\/5*z**2 + b + 1\/15*z**4. Factor i(s).\nAnswer: 4*(s - 2)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = 83*u + 861 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3 + 27 + 16 - 11 + 14*k**3 wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.697 + -1.7. Round m to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**2 - 33*z**2 + 82*z**2 - 24*z**2 + 743 - 141.\nAnswer: z**2 + 602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -4, 743, -21, 45.\nAnswer: -21, -4, 45, 109, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -936 > 1.15491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3 - 3*m + 10 + 3\/2*m**2. Suppose -g - 4*p - 2 = 0, 3*p = g - p + 2. Let l(w) = w**2 - w + 1. What is g*b(a) - 7*l(a)?\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 16588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*q*q**(-4))*q)\/q)**(-36)\/((q*q\/(q*q*q**46*q))\/q**22))**(-27\/2) assuming q is positive.\nAnswer: q**(2025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Suppose -k + 8 = l*k. Solve -k*b + 25 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*(4 + (-15)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22353*s**3*u**2 - 2*s**3 + 30*s - 14086*u**2 wrt s?\nAnswer: -134118*s*u**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-5 + ((sqrt(63))**2*3 - (sqrt(7)*2*-1 - sqrt(7))).\nAnswer: -42*sqrt(7) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c. Let u(j) = -j**2 + 5*j - 8. Let f(v) = 2*s(v) - u(v). Let o be f(-7). Let t = 8 + -3. Solve -w = 2*w + 4*y + o, -t*w = -4*y - 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(21)\/sqrt(3)) + sqrt(847) + (sqrt(847) + 2)**2.\nAnswer: 56*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.44 - 85.46. Let v = w - -87. Suppose -2*r + 3*l = -77, -6*r - 4*l + 204 = -r. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.1 at most as big as -887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-206)\/(-412)*78\/(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(30)*1)\/(sqrt(160)*-3 - sqrt(160)) - (-5 + sqrt(24)\/sqrt(8) - ((sqrt(3) - sqrt(3300)\/sqrt(11)) + sqrt(3))))**2.\nAnswer: -715*sqrt(3)\/8 + 67747\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2668, -10756, -24248, -43144, -67444?\nAnswer: -97148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6193127, 6193079, 6193031, 6192983, 6192935?\nAnswer: 6192887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 4. Let h be u(3). What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43930 = 1395*b + 21635 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40266.859 + -50750\nAnswer: -10483.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 41 = -127 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1781 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 360 + 282 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + 12 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 - 8*t**2 + 1355*t - 3 + 2*t**4 - 1354*t + 3*t**3 to the form g + u*t**2 + p*t**4 + w*t**3 + x*t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) -0.3 (b) -0.1 (c) 2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let j be o(-1). What is the second derivative of -2*t + j*t - 2*t**4 - t**4 - t**4 wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -306.1 + 306. Which is the closest to g? (a) 0.1 (b) -16 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 = -2*k + 32, -3*y - 171 = -5*k. Let g = k + -22. Let n(d) be the third derivative of -d**4\/24 + 10*d**3\/3 + 472*d**2. Calculate n(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21470091 to the power of 1\/2, to the nearest integer?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.535999 decades in centuries?\nAnswer: 0.6535999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b + 1435 = -0*b. What is the least common multiple of b and 164?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/67 - (146248\/(-426321))\/(-181)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7054 (base 8) in base 16?\nAnswer: -e2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040079974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 38 = -i, 8*i = -5*u + 3*i - 70. Let x = 12 + u. Suppose x*v + 42 = 7*v. Solve -q + v = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*m - 50*m + 75*m)*(m - m - 2*m).\nAnswer: -222*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.410597711 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 1 j when three letters picked without replacement from oooouwwcaoocjowo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4142011 (base 9) to base 8.\nAnswer: -10341255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) 0.056 (c) -0.5 (d) -0.2 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11097*z**2 + 16198*z wrt z.\nAnswer: -22194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737584?\nAnswer: 2, 3, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 - -207. Calculate the highest common divisor of 7 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, 3, 103210, -2.\nAnswer: -2, 0, 1, 3, 5, 103210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9628041 (base 10) to base 9\nAnswer: 20104163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.2. Let k = u - 0.3. Put 5, 1, k in ascending order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 12 = 0. Suppose -a*y - 10 = -2*y. Put 3, y, -4 in increasing order.\nAnswer: y, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1401*p + 4648 + 55 = -23317 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4648 - 4627. Calculate the highest common divisor of 4137 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/374 and -32\/231.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**3 + 2584*h**2 - 5146*h + 4. What is m(2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 480191.817055 - 480209.9. Let g = 15.4831 + s. Let y = g + 2.6. What is y rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/720 - h**5\/12 + h**4\/6 + h. Let t(x) be the third derivative of p(x). Let k be t(-7). Is k greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from wwzzzz?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003677618495 rounded to five decimal places?\nAnswer: 0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4493088 (base 10) to base 4.\nAnswer: -101020330200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, -20, -71, -140, -227?\n\"Answer: -9*z**2 - 6*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 179119 + 1227345. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182069243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 9*q + 2*q + 5*q - 2*q - 2*q + (-4*q + 6*q - 4*q)*(1 - 2 + 0) + q - q - q - 2*q + 2*q + q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let f = -5 + 5.2. Which is the closest to y? (a) f (b) -2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204728 and 2833536?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74983\/10974 + 1\/1829. Let q be 11331\/(-7) + (-2)\/7. Let a = 6417\/4 + q. What is the common denominator of t and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, 1 h, and 1 c when four letters picked without replacement from {u: 1, c: 5, y: 3, w: 6, h: 2}?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115540 is divided by 506.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8514327?\nAnswer: 3, 2838109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4693 - -16560. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 17*y - 38. Does 9 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2690 - -3100. What is the highest common factor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137 and 1200783080.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 0*i**2 + 0*i**2)*(-3 + i**2 + 3) - 741 - 50*i**4 + 1476 + 8*i**3 + i**2 - 736 to x*i + s + o*i**2 + w*i**3 + k*i**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178649 - -117351. Let o = w + -63702. Round o to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -261136, -36 in increasing order.\nAnswer: -261136, -36, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1825*c**5*m + 18*c**2*m**3 + 116*c*m**2 - 11*c - 3*m**3 + 2 wrt c?\nAnswer: -36500*c**3*m + 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -1)\/((-11)\/55). Solve -h*i = -7 - 53 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1330650 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9082915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-384)*4\/(-20)*-5*-2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2\/911, 27, 1, -0.016 in decreasing order.\nAnswer: 27, 1, 1\/6, -2\/911, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*1 - ((1 + sqrt(19))**2 + 0).\nAnswer: -20 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(684) + 1 + sqrt(684) - sqrt(684))*4 + 4)*4 + 4)*-4)**2.\nAnswer: -221184*sqrt(19) + 11227392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/12)\/(-2 - 21\/(-12)) is divided by -1 + -4*(-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 4073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 + -124. Find the common denominator of -4 + 1\/(-2)*d and 55\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/27)\/((-11620)\/(-3735))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2555)\/25 - 3\/(-15). Let t = -85 - u. Suppose 0 = -4*c + 5*h + 99 + 25, -3*h = 0. What is the remainder when c is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60083, -120178, -180271, -240362, -300451?\n\"Answer: n**2 - 60098*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 16990.\nAnswer: -11\/16990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10268954000 to the nearest 1000000.\nAnswer: -10269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = -4, 0 = -4*p + 5*h + 42. Let x = p + -9. Which is the nearest to x? (a) 5 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17718 divided by -3.\nAnswer: -5906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 7*x = 4*u - 696, 0 = -5*u - 2*x + 849. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 8*j + 2. Let g be z(-7). Let l(d) = 3*d + 3. Let h(r) = -r - 1. Let a be (-9)\/((-60)\/48*2\/(-5)). Let q(k) = a*h(k) + g*l(k). Determine q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 2*u, -6 = x + 14*u - 11*u. Solve x = v + 5, -3*v - 4 - 16 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(-1*(-1)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 0 - -1) + 0. Let d be 15\/8*(-4)\/6. Let w(f) = -2*f - 13. Let g be w(-4). Sort m, g, d in descending order.\nAnswer: d, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4 - 250*m**3*u - 12*u + 4 wrt m.\nAnswer: -4*m**3 - 750*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 - -5.07. Let x = -1075 - -2050. Let m be 345\/x + (-1)\/5. Which is the third biggest value? (a) m (b) 4\/7 (c) 10 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. What is the units digit of 1 - (-5 - (-2 + y))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/65*(-870)\/1914 + (-4)\/(-26).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.17 and -235.1?\nAnswer: 275.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/(-9)*1). Let b = 10 - 10. Solve b = -5*w - 15, -v - 1 = -2*m + 4*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 19*y**2 + 10*y + 148. Let i be k(18). What is the second smallest value in 10, -10, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f*f**(-1\/6)*f**(2\/13)*f**(2\/13))\/((f**(2\/7)*f)**(-4)\/((f\/f**6*f)\/f**(-5\/4))) assuming f is positive.\nAnswer: f**(1529\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35782 + -16698. What is the greatest common divisor of 52 and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1374985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.71 * 2.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -125145 divided by 678\nAnswer: -41715\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 270?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -15*a**3 + 8*a**2 - 24*a + 14. Let z(j) = 7*j**3 - 3*j**2 + 12*j - 7. Let g(f) = -6*w(f) - 13*z(f). Give g(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 21 - ((1 - -6) + 95)) + (18 - 8).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24721144*z**3 + 2*z**2 + 2*z - 7879340 wrt z.\nAnswer: -148326864*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0 + 5. What is the second biggest value in -0.3, -0.2, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 865*p**2 + 166749*p + 375. Determine b(290).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -77.1. Let k = o - 3.8. Let n = 37 + -39. What is the third smallest value in 1\/7, 5\/4, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/35)\/(-6))\/(7865\/(-12705)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 32 = -71*q - 1264 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/40)\/((-114)\/(-3116))*10\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-2 + sqrt(28))\/sqrt(4) + (-2*sqrt(847)*-2)**2.\nAnswer: -9*sqrt(7) + 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnll when four letters picked without replacement from lnllyynynmvnnll.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqjjvjavavqqvvv. What is prob of sequence qq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 5. Let x = -7.000025 + z. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125.3 + -112. Round x to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 + 58 + 151 - 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 4*g - 1. What is the units digit of h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - 1. Suppose 2*f - 1604 = -1612. Which is the second biggest value? (a) 0.5 (b) f (c) u (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289 - -295. Let i be 0 + 129\/j + -8. Let i*z - 18*z**2 + 15\/2*z**3 - 3 = 0. Calculate z.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194801678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 276333 + 44?\nAnswer: 276377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-315))\/((-3)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(3\/7))**(2\/19))**(-22) assuming m is positive.\nAnswer: m**(-440\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 16*y**2 + 19*y + 36. Let p be n(-17). Solve -2 = -p*l + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -11. Let v(q) = -q**2 - 12*q + 16. Let o be v(g). Calculate the greatest common factor of 189 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27814 is divided by 27592?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + s - 21 + 9, 4*n = 4*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85296 and 35332.\nAnswer: 753419568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*r)*(-77*r**2 - 32*r**2 + 6*r**2)*(27 + 12*r**2 - 27).\nAnswer: 2472*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488\/3 + 2266\/15. What is the common denominator of -115\/6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6079065 - 6079125 = -4*g + 10*v, 0 = -3*g + v + 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w*w\/w**8))*w*w**8)**(4\/11) assuming w is positive.\nAnswer: w**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18944190 minus 987.29?\nAnswer: 18943202.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 + 3. Let f(t) = t + 6. Let w(x) = -5*x - 25. Let a(b) = -25*f(b) - 6*w(b). Calculate q(a(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m - 91*m + 144 = -42*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/45 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r + 3. Let q(f) = f**2 + 4*f. Let s be q(-3). Determine x(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*s - 88142 - 16851 = 8839. Solve 65*t - s = -3*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*x - 3 - 722*x + 189*x.\nAnswer: -711*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -205567, 0.4, -2 in increasing order.\nAnswer: -205567, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**2 + 3*h - 3*h. Let q(j) = 21001 + j**2 - 21001. Give q(u(r)).\nAnswer: 121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 593917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 - c**2\/2 + 1163. Let q(r) = -10*r**2 + 14*r. Calculate 2*q(p) + 28*w(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 15 - 76)*(1 + 1 + 0)*(-d**3 - d**2 + d**2).\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 - 49*i + 4. Let d(v) = 17*v**3 + 102*v - 9. Calculate 4*d(t) + 9*j(t).\nAnswer: -4*t**3 - 33*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44760 and 64740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1)*3\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 19 + 9. Factor -c - 39*n**2 - 3*n**4 - 12*n**3 - 36*n + 0*n**4 - 6*n**3 - 5.\nAnswer: -3*(n + 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 17 = -10*q + g, 2*q = -4*g + 42. Solve -4*b = q + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -38073?\nAnswer: 7614.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + r - 20 = 0, 2*o = 7*o - 5*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let c(k) = 3595194167*k. Give q(c(j)).\nAnswer: -3595194167*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12644970 by -24.\nAnswer: -2107495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:53 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {c: 6, p: 10, z: 2, l: 1, k: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-4))\/(g**(-25)*g))**(-13) assuming g is positive.\nAnswer: g**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0 = v + 4, 3*b = 4*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from vvssp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63002252, -126004495, -189006740, -252008987, -315011236, -378013487?\nAnswer: -441015740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 3*p**2 + 3*p**3 + p**3 - 28 in the form g*p**3 + n + u*p + y*p**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -491, -543, -587?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 53068.85402 and 17.\nAnswer: 53085.85402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 4*i**2 - 4*i - 11. Let m(w) = -2*w**3 - 3*w**2 + 3*w + 11. Calculate 4*m(g) + 3*z(g).\nAnswer: -2*g**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -50*r + 47*r. Suppose -4*x = 2*u + 2*u - r, -3*x = u + 1. Suppose -10*f - 501 = -u*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 310330?\nAnswer: 310330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74366325 is divided by 202633.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - ((5 - 6) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51, -95, -175, -291, -443, -631?\n\"Answer: -18*y**2 + 10*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 - 23*i - 7*i**2 + 33*i**2 - 91*i - 9*i**2.\nAnswer: 3*i**2 - 114*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226666 or -226667?\nAnswer: -226667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264 + -264.00000282. Round s to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1628 + 1696. Which is the nearest to -0.2? (a) p (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15442542 a multiple of 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1919\/7731?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 5 + (sqrt(5) - (-2 + 4*sqrt(5))))*6 + -2)**2.\nAnswer: -576*sqrt(5) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*f + 24 = 0, -7*n + 10*n - 2*f = -2. Find the third derivative of -131*t**3 + 1470*t**2 - 1472*t**n - 110*t - 52*t + 2*t**4 wrt t.\nAnswer: 48*t - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (108 + 25*c - 8*c - 15*c)*(0*c**3 + 4*c**3 - 3*c**3 - 2*c) to b*c**4 + y + f*c**3 + h*c**2 + m*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9b9 (base 13) to base 6.\nAnswer: 333445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -31. Is y\/(6 + -1)*-2069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 810*y**2 + 378*y + 378. Let x(r) = r**2 + 2*r + 2. Calculate -3*c(s) + 567*x(s).\nAnswer: -1863*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.46 - 0.37. Let y = m + -0.59. What is the closest to -1 in -3\/4, 0.4, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + v + 1. Let f be y(-2). Let n = 0.5 + -0.1. Which is the nearest to 0.1? (a) 0 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 68*a**2 - a + 3. Let g(i) = -i**3 + i**2 - 1. Calculate d(s) + 3*g(s).\nAnswer: -s**3 - 65*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6530 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4\/3. Let f = 0.06 + -0.36. Let b = -1729 + 1733. What is the closest to q in f, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -31 (c) -4 (d) -3 (e) -11 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2751\/(-75))\/(-7) - 5. Let r = x - 118\/75. Which is the smallest value? (a) -4 (b) r (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068594 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 20*b - 62 = 0. Let p = b - -87. Calculate the highest common divisor of p and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125*p**3 + p + 24*p**3 - 61*p**3 + 55*p**2 wrt p.\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 8*z**5 + 46*z**4 + 12*z**3 - 214*z**2 - 140*z + 48 = 0.\nAnswer: -4, -3, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-1\/3)\/a*a))\/((a\/a**(-2\/9))\/a))\/(((a**(1\/6)\/a)\/a*a*a)\/(a**(1\/10)\/a)))**(2\/23) assuming a is positive.\nAnswer: a**(4\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*b = -2*m - 15, 2*b - 10 = 2*m. Suppose m*p - 75 = -5*p. Let k = 27 + p. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8984*m + 2089*m - 702*m.\nAnswer: 10371*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058203214 minus -47?\nAnswer: 47.058203214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312711.\nAnswer: 509, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let r be (-1)\/(-1 + 12\/15). Suppose 4*c - r - 3 = 0. Let q(d) = -c*d**2 - d**2 + d**2. Determine j(q(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1097 - -1108. Solve 2*q - 5*f - 27 = -10, 0 = -q + 3*f + c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 145 = -163 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -739 + 739. Solve 4*i = 2*z - 3 + 1, a = z + 3*i + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -188, -434, -778, -1220, -1760?\n\"Answer: -49*s**2 - s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30290*a*s**2 + 16*a*s + 4*s**5 + 49*s + 17 wrt s?\nAnswer: -60580*a + 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 8*h - 1\/12*h**4 + 0 - 1\/20*h**5 - 3\/2*h**2 + 5\/6*h**3. Factor x(c).\nAnswer: -(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-174)\/(-84) - (-2)\/(-28). Suppose 0 = 2*a + 2*a - 16. Suppose -a*h = -2*j + 16, -5*j - w*h - 2*h - 2 = 0. Solve 2 = j*v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 56*s + 54 = 0. Let t be ((-8)\/s)\/(40\/150). Solve -m = 4*m - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 414*d.\nAnswer: -3*d*(d - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 533509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 22. Suppose o + 0*o + 5 = 0. Let z = o - -7. What is the highest common divisor of u and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 75 = -15*s. Solve 3*k + 0*r - 2*r - 11 = 0, 0 = -3*k + 3*r + s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4428 + -2415. What are the prime factors of q?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 46175648?\nAnswer: 184702592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g - 3. Let m(a) = -11*a + 5. Let b(o) = 3*m(o) + 5*w(o). Let i(n) = 20*n**2 - 2*n**2 - 7*n**2. Give b(i(r)).\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n - 258*n + 85*n + 87*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*h + 2*d, 0 = 2*h - 2*d + 4 + 4. Let k = 6 - h. Is 866\/6 + 8\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**5\/240 + j**4\/96 + 11*j**2\/2 + 7. Let c(d) be the second derivative of b(d). Let c(h) = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 11) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24017*a**2 + 6*a + 25*a - 15*a + 17*a.\nAnswer: -24017*a**2 + 33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 6*r + 3*r + 2*r - 26. Let y be u(-10). Solve 0 = 2*o + y*v - 2, -o - 1 = 4*o + 4*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1586.6 + -1587. Let g = -7.5 + -33.5. What is the second smallest value in -1, 2\/5, g, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 178 = 52. Calculate the remainder when 320 is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyggzzyyggzyzzy. Give prob of sequence zzgz.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 5*y**4\/8 + 5*y**3\/6 - 5*y**2\/4 - 12*y + 6. Determine d, given that p(d) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*i - 5*z = -444*i + 893*i + 36, 0 = -5*i - 4*z - 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806*u - 4*u + 1362*u - 1555 = 609. Let r = -10813\/952 - -91\/8. What is the third biggest value in u, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/96*2*1)\/(4\/24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 6*v + 45. Let b(y) = y**2 + 7*y - 46. Let p(d) = 6*b(d) + 7*s(d). Suppose -2*u = -5*t - 16, 5*u - 139 + 99 = -t. Calculate p(t).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 24. Suppose 0 = o*v - 1 - 2. Suppose l - v = 16. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24421, -24424, -24427, -24430?\n\"Answer: -3*g - 24418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -247130, -247060, -246990, -246920?\n\"Answer: 70*r - 247200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 13. Put n, -0.1, 1 in descending order.\nAnswer: n, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3434, -6878, -10322?\nAnswer: -13766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (7\/3)\/(6\/18) and (5\/(-2))\/((-1)\/2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14653, 14652, 14651, 14650?\nAnswer: 14649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/(3\/(-2) - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.5225cm in nanometers?\nAnswer: 1095225000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*l + 12 + 46, 3*n + 4*l = 58. Let q be n\/(-2) + 27\/9 + 7. Sort 6, q, 4, -4 in ascending order.\nAnswer: -4, q, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*n - 16 = 2*a, -4*n = -a + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) 0.317 (d) 76 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*s**4 + 315*s**4 + 345*s**4 + (-4*s**2 + s**2 + 2*s**2)*(-4*s**2 + 1 - 1).\nAnswer: 615*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 14*h + 24. Let b be r(12). Suppose b = p - 0 - 7. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1456\/185, 0.6, 0 in increasing order.\nAnswer: -1456\/185, 0, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c**3 + 2*c**2 + 2*c - 1. Let z be i(2). Suppose a - 3*d - 123 = 0, -a - 3*d = -z + 10. Suppose -a = -7*b + b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 2. Let k be a(-2). Let y(x) = -x**2 - 5*x. Let w be y(k). Let f be (-78)\/(-8) + (-2)\/(-8). Solve -3*m + w = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 14*q - 383. Let f = q - 155. Let k = f - 151. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12416853*t + 12024*t**2 - 12416853*t - 12024*t**2 + 520*t**3.\nAnswer: 520*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112083, 896645, 3026205, 7173273, 14010359, 24209973?\n\"Answer: 112085*o**3 - 11*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04838822 rounded to three decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15843 - -15844. Let o be ((-20)\/45)\/(-1 + 4\/3). Let z = 2.08 - 2. What is the nearest to z in a, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1132*b - 79270. Give o(70).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 11 + 33 - 131*g - 15.\nAnswer: -131*g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.48 + 4. Let c = -0.11 + -0.17. Let f = v - c. Which is smaller: f or 28?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.11 - -12145704931\nAnswer: 12145704909.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b + b**3 - 2*b**3 - 2 + 2 + (-b + 2*b - 2*b)*(-2 + 2 + 2*b**2) + 2*b**3 - 4*b**3 - 2*b**3 + 269*b**3 + 210*b**3 + 233*b**3.\nAnswer: 705*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.28 and 78081?\nAnswer: 78081.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x + 161 = -161 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 288*c + 767. Let w be r(-7). Is w equal to -1248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/((-30)\/20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*s - 250100 = 0, 64*j - s = 60*j + 200080. What are the prime factors of j?\nAnswer: 2, 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -10 - 17. Which is greater: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225970?\nAnswer: 2, 5, 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(891)*1)**2 - sqrt(891)) - 5*(1 + sqrt(891) - sqrt(891)).\nAnswer: -9*sqrt(11) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, -7, -6, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-42)*8\/6. Let w = -130937\/42 - -18707\/6. Factor -4\/7*i**2 - d*i**3 + 0 - w*i.\nAnswer: -2*i*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -4*s. Let v = s - 1. Suppose 6 = -3*u + v*u. What is the smallest common multiple of 16 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j**3\/8 - 1685*j**2\/8 + 6781*j - 2993\/2 = 0 for j.\nAnswer: 2\/9, 41, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.384 + -23475?\nAnswer: -23488.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 + 24*i**2 - 122*i**2 + 21*i**2 + 28*i**2 + 29*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -224*s + 1312. Calculate d(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = -3*j - 14*q - 38*q, 21 = 4*j + 5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 267, 699, 1329, 2157, 3183?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2766760 + 5\/2*w**2 - 5260*w = 0. What is w?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2184, -4370, -6556, -8742, -10928?\nAnswer: -13114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -19. Let z be ((-30)\/k)\/(2\/(-8)). Let d = z + -5. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.11525 - 20.271. Round i to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)*f)\/((f**(-1\/9)*f)\/f))\/(f**0)**(2\/21) assuming f is positive.\nAnswer: f**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69539360226\/17278811 - -4\/1570801. Let k be (-2 - 0) + -1 + 4023. Let n = f - k. Find the common denominator of n and -39\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 - -55. Let k be (-64)\/(-34) + (-10)\/h. Solve 5*i - 10 = -k*c + 3*c, -10 = -c - 5*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -126. Does 21 divide x + (1 - (1 + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5, 85?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.0000002 - 17. What is k rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/((-3204)\/(-17622)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/51 and (-3)\/1 + 5 + 4\/(-60).\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c + 3*r + 10, 4*c - r = 8. Let b be 2*(-2 - (-21)\/6). Suppose -5*k + b*k = -10. Solve -5 = -4*l - k*s + 4, 3*l - 4*s = -c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*u - 52. Suppose -m = 4*m + u. Let w = m + 3. Solve 2*o - 3*o = w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 2*p. Let r(q) = -441*q**2 + 5*q - 3. What is 3*a(s) - r(s)?\nAnswer: 438*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v = 100. Suppose 139*r = 135*r + v. Solve 4*t - 7 = r*u, 2*t + 2*t - 8 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.8, 5, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r. Let x(k) = -2*k**3 + 2*k**2 - 17*k + 1. Let n be x(0). Sort -4, n, r, 4 in decreasing order.\nAnswer: 4, n, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-45))\/(190\/11115)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1359456*n**3 - 2023*n**2 + 2023*n. Let u(a) = 4034*a**3 - 6*a**2 + 6*a. Calculate -6*b(d) + 2023*u(d).\nAnswer: 4046*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(84) + sqrt(84))\/sqrt(12) + (sqrt(7) - (-2 + sqrt(56)\/sqrt(8))))*-2.\nAnswer: -8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 41 - 2168*z**2 + 1080*z**2 + 1089*z**2. Let q(u) = 17*u. Calculate q(c(m)).\nAnswer: 17*m**2 + 697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-13 + 9)\/(-1*22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 13*r**2 - 14*r + 3. Let z be q(14). Suppose -4 = z*u + 5. Sort u, -5, 1, -1 in decreasing order.\nAnswer: 1, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r - 3*r - 37*r)*((5 - 3 + 1)*(-r + r + 2*r**2) + 45*r - 45*r + 12*r**2).\nAnswer: -846*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a = -67*a + 698800000. Round a to the nearest one million.\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -171.2. Let a be ((-2)\/24)\/((-1)\/(-2)). What is the closest to 1 in a, j, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1150752252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*k - 14 = 0, 6 = -2*k - 0*k. Let m(x) = 3*x**3 + 4*x**2 - 4. Let y be m(d). List the prime factors of -4 + (1 + -5)*y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m + 0*m)*(-1471 + 813*m + 1471) to h*m**2 + i*m + c and give h.\nAnswer: 2439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdg when three letters picked without replacement from {g: 7, f: 2, d: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 409 - 279. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f + 2 - 1 - f. Let y(n) = 2*n**3 + 4*n - 4. Suppose -2*s + 16 = 2*s. Let q(t) = -t**2 - 12*t + 29. Let m be q(-14). Calculate m*y(h) + s*j(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-120)\/(-55) + 2\/(-11). Let t be 176\/10 + i\/5. Suppose y = -6 + t. Calculate the greatest common factor of 108 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Let x = -6 - -6.3. Let a = x - -0.1. What is the third smallest value in a, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42.03701ml?\nAnswer: 0.04203701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllplllllgnpgpla. What is prob of sequence gl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 6*o - 29. Let f = -85 + 94. Let d(w) = w**3 - 8*w**2 - 8*w - 18. Let y be d(f). What is the units digit of a(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (39134\/(-4))\/17*-26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 3*w**5\/20 - 11*w**4\/12 - 11*w**3\/6 + 11*w**2\/2 + 888*w. Let c(k) = -k**3 + 6*k**2 + 6*k - 6. Give 11*c(r) + 6*x(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 84. Which is the biggest value? (a) w (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147521 (base 13) to base 15.\nAnswer: -9da28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p**3 + p**2 + 9*p - 14. Let v(c) be the first derivative of c**4 + 3*c**2\/2 - 5*c - 1. Let m(o) = -3*q(o) + 8*v(o). Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbreyqeb. What is prob of picking 1 e, 2 b, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38010892319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055861 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 3.3. Let l = -2 - q. Let h = -0.38 + 0.38. Is h at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96361631\/7 <= 13765946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0*n)**(-2)*n**(-1)*n*n**(-7)*((n*n**(-2\/3)\/n)\/n**(-2\/13))\/(n**7*n*n**(-3\/5)) assuming n is positive.\nAnswer: n**(-3688\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-10)*((-77)\/(-14))\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40867 != 40792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. What is the third biggest value in -2\/25, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w - 950 = -16*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649 - -652. Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 7. Let s be k(-5). Suppose 3*p = 0, r - s*r + 4*p + 110 = 0. Let y = r - 3. What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021085499 rounded to 7 decimal places?\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4 + -0.5. Let x = -0.208 + 11.208. Let y = h + x. What is the second smallest value in y, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(1 + ((-6)\/2 - 0)). Solve j - 11 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*a - 12 - 13*a**3 - 41*a + 25*a wrt a.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9734525741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-2) - (-2)\/(-4). Let j be (q - 1) + (-4)\/2. Let p(s) = -7*s**3 + s**2. What is the units digit of p(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 379.641 and -3110668.\nAnswer: -3110288.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4614 - -0.6296. Let j = 0.091 - b. Let z be (-4 + 0)\/(2\/2). Put z, -0.5, j in increasing order.\nAnswer: z, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1254 + -5?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28059*i - 3092168 - 106558 for i.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 205112413 (base 6) to base 9\nAnswer: 6700220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 25.52 (b) 0.5 (c) -47 (d) -0.4 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1451 = 2*m - 3*l + 4*l, -2*l = 6. Suppose m + 4356 = 17*u. Let g = u - 119. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -8276aaa?\nAnswer: -8276aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 79 (c) -7 (d) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 121877 and -1109784?\nAnswer: 1231661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5297, -21171, -47627, -84665, -132285?\nAnswer: -190487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125240, -125226, -125212, -125198, -125184?\nAnswer: -125170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4*w + 32388*i**2*w**2 - 5*i*w + 111*i + 15*w**2 wrt i?\nAnswer: -36*i**2*w + 64776*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -0*t. Suppose d = v + 5, -3*d - t*v = -3*v - 9. Suppose -d = -4*s + 2. Which is the closest to 0.1? (a) -1\/2 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -9. Suppose -r + 0*p - 3*p + 12 = 0, r + p = t. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 11 - ((-7 - (6 + -8)) + -1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, o: 4, l: 7}. What is prob of picking 1 z and 3 l?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*41\/3 - 76\/114. Suppose 0 = 8*p + t - 21. Let z(l) = 2*l - 7. Let d be z(8). Calculate the highest common divisor of p and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 5, y: 2, x: 3, n: 1, m: 3}. Give prob of picking 1 n, 2 m, and 1 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(60) + sqrt(60) + sqrt(60))*-5 - sqrt(60))\/(sqrt(1452)*3))**2*1.\nAnswer: 80\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 5*p**2 + 3*p**2 - 5*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/3*2\/(-6)*342\/(1273\/67)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -423, -1723, -3891, -6927, -10831, -15603?\n\"Answer: -434*f**2 + 2*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {q: 1, u: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 l when four letters picked without replacement from lpwdlwwdw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -45*y**2 - 701*y - 1963. What is j(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 5*s - 22. Let z = s - -40. What is the greatest common factor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -903 + 46*c**3 + 1869 - 966 + c**4 + 45*c**2 = 0?\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -8, 4, 6, 66 in increasing order.\nAnswer: -8, -4, 4, 5, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 1 - 5*q - 4*q + 0*q wrt q.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y*(y**(-3\/8)\/y)\/y)*y*y*y\/(y\/y**(2\/15)*y)*y)\/(y\/(y\/y**5)*y**(-4)\/y) assuming y is positive.\nAnswer: y**(541\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*j**3 + 0*j**2 + 0*j**2 + 573*j**3.\nAnswer: 82*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from jnnnhnhjjhnjhhnn?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 19 = a, 0 = -15*a + 72*o - 75*o - 321 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.2, -11, -0.5, -3, -24, -27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 2)*26\/(-39). Which is the nearest to y? (a) 1\/10 (b) 0.7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127283\/20 + -6367. What is the common denominator of i and 15\/(-24)*11 - 6\/12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 10 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 2*k - 210, p - 66 = 4*k. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0385 and 0.04.\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 104548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253022452 to the power of 1\/2, to the nearest integer?\nAnswer: 35398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 50. Let l be r*46\/33 - (-18)\/(-99). Solve 5*c - 10 + 1 = l*q, -2*c = -3*q - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**(-45))**36 assuming a is positive.\nAnswer: a**(-4860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**3 + 2456378*t**2 + 7855121*t.\nAnswer: -6*t + 4912756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -9, -1.6, -21\/4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102445350 (base 6) to base 14.\nAnswer: 351aca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 9 (c) 3 (d) 19942488\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 4*q + 19, -5*d - q = 1. Is -3 + d + 124 - 2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let p(z) = -z**2 - 2*z**2 + 6*z**2 + z**2. Let l(w) = -3*h(w) - p(w). Let b(i) = -2*i. Give b(l(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/12 + s**3\/3 + 2*s**2 - 2*s. Let h be o(3). Let n = 59 - 56. Are h and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5243 - -13391. Calculate the remainder when k is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + -3 + (26 - (36 + -28))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864078, 864094, 864130, 864192, 864286, 864418?\nAnswer: 864594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20300?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 24*d**2 + 5*d - 5. Let x(h) = 23*h**2 + 4*h - 4. Calculate -4*o(f) + 5*x(f).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3\/4*a**3 + a**4 + 1\/4*a**5 - 6 - 13*a - 17\/2*a**2 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11269b (base 16) in base 12?\nAnswer: -462563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Find the third derivative of 5*u**2 - 4*u**2 + u**6 - j*u**6 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1747? (a) -3 (b) 0 (c) -14 (d) -5\/2 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + d + 10, 2*d = p + 3 - 13. Suppose 4*q + 2 = 3*i + 4, i = p. What is the second derivative of k + k**3 + 0*k + q*k wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 20 = 3*b - 7, 0 = -a + 2*b + 8. Suppose 2*n = -c - 5 + 11, 4*n + c - 8 = 0. Solve -6*q + 20 = -a*h - q, h = -2*q - n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000933 rounded to 6 dps?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*o + 134*o + 6867 = -82*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -125*h**5\/6 - 25*h**4\/6 - h**3\/3 + 3*h**2 - h. Factor i(l).\nAnswer: -2*(25*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(999\/(-9)))\/((-3)\/((-459)\/12))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*a - 3, 22 + 29 = 3*j - 5*a. Let n = -102 + 102. Suppose 0 = 2*r - n + j. Is r not equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15913, 31831, 47757, 63691?\n\"Answer: 4*t**2 + 15906*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/81880?\nAnswer: -9\/81880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:28 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, -33, 11 in increasing order.\nAnswer: -33, -1, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -338, -1034, -2382, -4598, -7898?\nAnswer: -12498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18 = 2*t, 3*c = 3*t - 6*t + 18. Let u be -2*t\/(4\/(-10)). Let q(b) = -b**2 + 3*b + 4. What is q(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - 13\/(-2). Solve -2 = 3*k + u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43434 + 1?\nAnswer: 43435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 11 - -15)*(-1)\/(-5). What is the third derivative of -111*n**6 + 0*n**4 + 17449*n**t + 46 - 17450*n**2 + 0*n**4 wrt n?\nAnswer: -13320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 54. Suppose 0 = -4*g + 3*c + 1080, 2*c - 407 = -4*g + 673. Suppose -3*v = -y*v + g. Calculate the greatest common factor of 45 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11084109, 2\/7, -14 in ascending order.\nAnswer: -14, 2\/7, 11084109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*72\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 8. Let w = j - 2. Find the third derivative of -2*s - s**5 - 2*s**5 + 3*s**2 + w*s wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 8*n + 8. Let q be o(-12). Let d be 6\/10 + (-56)\/q. Suppose 27 = d*c - 35. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*(z\/(z\/(z**(-1\/3)*z)))\/z)**(1\/34) assuming z is positive.\nAnswer: z**(1\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4559, 9\/2, -2\/61 in descending order.\nAnswer: 4559, 9\/2, -2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 91 = f, 4*g - 28 = 3*f - 90 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060\/(-988) + (-48)\/(-3040)*-10.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28925 - 202451\/7. Let -18\/7*u**4 + 62\/7*u**3 - v + 80\/7*u - 102\/7*u**2 + 2\/7*u**5 = 0. Calculate u.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20)\/((-5)\/(-3800)*4*136\/(-34))?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 - 196. Suppose 2*y - b*m - 572 = 0, -5*m - 152 = 3*y - 999. List the prime factors of y.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/6 - -2. Sort -1\/3, b, 3 in decreasing order.\nAnswer: 3, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -773 + -13. Let q = j + 868. What is the remainder when 818 is divided by q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 2*x - 3. Let a(v) be the first derivative of -7*v**3\/3 + 2*v**2 + 7*v + 70. Determine -2*a(l) - 5*b(l).\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 812 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 542840?\nAnswer: 542842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 4. Calculate the remainder when 18 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*a + s - 57 - 23, 2*a + 0*a + 2*s - 40 = 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864, 3681, 8786, 16521, 27228, 41249, 58926?\nAnswer: 80601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258411 to the power of 1\/2, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 213*a**3 + 1377*a**2 - 2127*a + 960.\nAnswer: 3*(a - 64)*(a - 5)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -27. Calculate the remainder when 23 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4368)\/2058)\/52*-637?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -234, -453, -670, -885, -1098, -1309, -1518?\n\"Answer: n**2 - 222*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:06 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0967 + 0.1967. What is the biggest value in t, 9\/7, -11?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(300) + sqrt(300)*3) - sqrt(300)) + (-2 + sqrt(363))*1 + 4)**2.\nAnswer: -156*sqrt(3) + 4567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 3\/2 (c) -0.05 (d) 32.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 596?\nAnswer: 45892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4698 - 4699. Sort -139, w, -0.2.\nAnswer: -139, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-110))\/(8\/32)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -1. Let h = -16.99 - -17. Let l = -5.01 + h. Which is the closest to 1\/3? (a) l (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124 + -2351?\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67266*p - 67862*p + 135132*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12795 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45818 is divided by 3324.\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116860691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/2*(-14)\/(-3). Suppose -f + 28 = w - 6*f, -f - 8 = -w. Let z be 636\/18 - (0 - (-1)\/w). What is the greatest common divisor of t and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21b7 + -46?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.66 and -0.9.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g + 99 = -1885 - 316 - 3220 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 + -41874?\nAnswer: -42078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -43. Let m(u) = -u + 9. Give m(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*z + 16 = -6*p, p + 5*z - 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2\/9, -1449, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4754 - -0.1754. What is the closest to -1\/3 in 5, h, 0.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -1\/5, 0.2, 20\/31, -4?\nAnswer: 20\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/75)\/q)\/q**(-38) assuming q is positive.\nAnswer: q**(2927\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2837.5148 to 0 dps.\nAnswer: -2838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 344586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3*y**4)\/(y\/(y*y\/y**2))**(-41))**15 assuming y is positive.\nAnswer: y**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1198, -1202, -1206, -1210?\n\"Answer: -4*q - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, 20, 103, 236, 419?\n\"Answer: 25*o**2 - 42*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqdqedeseqdeqeme. What is prob of picking 1 s, 1 m, 1 q, and 1 e?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 1730896.57?\nAnswer: 1730895.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5337630*0.05.\nAnswer: 266881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3 - 3 + i + 3 - 2*i**2. Does 2 divide y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a = 47*a + t + 12, -2*a - 4*t = -2. Suppose -19 = -8*o + a. Factor -3\/4*v + 0*v**2 + 1\/4*v**o - 1\/2.\nAnswer: (v - 2)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179624 is divided by 59599.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13808657 - -1.6\nAnswer: -13808655.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215 - (-28 - -233) - (-1 + 1 + -9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 1079253?\nAnswer: 5396265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/5 + 1992*f**2\/5 - 330672*f\/5 + 18297184\/5.\nAnswer: -4*(f - 166)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 1. Let z be ((-2)\/(-4))\/((-50)\/(-39100)). Let l = 396 - z. Let j(g) = 3*g**3 - 5*g**2 + 5. What is l*h(x) + j(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -p + s - 6, p + 10 = -5*s. Solve p*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.26 from 620305.\nAnswer: 620304.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/8 + 5*d**3\/6 - 13*d**2. What is c(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 - 84*f**2 + 72*f - 86. Is p(35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*c - 191*c - 191*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-267)\/(-2)*((-80)\/(-15) - 4). Let y be 3\/(135\/10) + v\/9. What is the greatest common divisor of 230 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 2. Let h(i) = 2*i - 4. Let x be h(7). Let c = -21 + 9. Let d = c + x. Calculate f(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 7.5. Let k = 8 - u. Let r = -0.9 + k. Which is the closest to r? (a) 1\/2 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1 - 0)*(1 - 1). Suppose h = -3*m + 1550 + 391. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 36. Let w be f(-18). Find the common denominator of 77\/6 and (3\/w)\/((-42)\/2086).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-8)\/10)\/(-4)). Let t be ((-2)\/(-10))\/((-9)\/(-27)). Let h = t - 1\/5. Which is the second biggest value? (a) 4 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183985250247.69089906 + 183985248593. Let r = b - -1662.7909. Let z = r + -8.1. What is z rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -14*g**5\/5 + 13*g - 16. What is the derivative of p(l) wrt l?\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275112, 1100489, 2476116, 4401993?\nAnswer: 6878120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 58 = -2*g. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53935480 rounded to the nearest ten thousand?\nAnswer: -53940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 18*j**2 - 7626*j - 107340. What is a(-14)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 15. Let p(b) = 3*b + 8. What is -4*l(x) - 7*p(x)?\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + g - 10 = -0*j, 0 = 4*j - g - 18. Let u = 5 - j. Calculate the remainder when 0 - u\/((-3)\/33) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6*i + 78*i**2 - 284*i**2 - 19*i - 69*i**2.\nAnswer: -275*i**2 - 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124182602*h**2 - 62091286*h**2 - 62091313*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 20276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 9) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 52*y**2 + 2*y + 126. Let s be o(-52). What is the highest common factor of 1837 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -26. Let v be 1\/4 + 228\/(-16). Let n be v\/(-6)*3 - 0. What is the greatest common divisor of w and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -30561b?\nAnswer: 305635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -1\/6*q**3 - 1\/2*q**2 + 0 + 1\/12*q**4 - 5*q. What is z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - 1 - u**2 + 5*u**3 + u - u**3. Let z be t(0). Let y = 1 - z. Put 0, 5, y in ascending order.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 + 7. Let a(i) = i**2 - 1. Let s(g) = -5*g - 9. Let l be s(-3). What is l*a(m) + w(m)?\nAnswer: m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26699694 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189 - 180. Let y be l + 6 + -12 + -48. Is 0.1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1013 - 367. Calculate the greatest common divisor of 266 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5302705.\nAnswer: 5, 31, 34211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {g: 5, z: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*w - 53, -4*w - 41 = -2*d - 3. Let g = d - 12. Let h(x) = g*x**2 - 4 + 3 - 2*x**2 + 3 + 6*x. Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*u - d + 5, 2*u - 3*d = 10. Solve -7 + u = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 + 183 = 10*a + 95 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.3 (b) -5907 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -1.5. Let x = -0.2 + 0.1. Is x at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p + 2. Let k(z) = z - 34. What is k(h(v))?\nAnswer: -6*v - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l - 1. Let a be u(3). Let h(s) = s**2 - 5*s - 3. Let q(i) = -i - 1. Let f(v) = -5*v - 4. Let w(p) = f(p) - 4*q(p). Give a*w(r) - h(r).\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 21\/2 (b) 0.4 (c) -9\/10 (d) -1\/5 (e) -4 (f) 12 (g) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2) + -2 + 1. Let a be 15\/(-162)*4\/(-10). Let p = -7\/27 + a. Sort 4, t, p in decreasing order.\nAnswer: 4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (330\/(-105))\/((-24)\/14) - 2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36*y**2 + 28*y**2 - 9*y**3 + 4*y**3 + 4*y + 2*y. Let i(w) = 10*w**3 + 15*w**2 - 11*w. Let q be -3*(110\/30 - 0). Give q*r(m) - 6*i(m).\nAnswer: -5*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-2\/25)\/(((f\/(((f\/(f*f**(1\/9)))\/f)\/f))\/f)\/(f*f*f**4))*(f**(-1\/7)*f**(3\/7)\/f)**14 assuming f is positive.\nAnswer: f**(-1384\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 2*b - 2*b)*(1 - 5 + 3) + 2 + 0 - 1 - 7*b)*(-6*b + 11*b + 7*b).\nAnswer: -96*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2796.09 - -2794. Which is bigger: n or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7612231, -7612233, -7612235, -7612237?\nAnswer: -7612239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddob when four letters picked without replacement from gddgogogdggdbbdgrgdx.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37420, 38962, 40498, 42028, 43552, 45070?\nAnswer: 46582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5888 and 11684?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 41 in decreasing order.\nAnswer: 41, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 - 14*f - 14. List the prime factors of m(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/((-3)\/66). Let c be -3*((-22)\/t + (-1)\/3). Solve -1 - 5 = c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74373, -75283, -76193, -77103?\nAnswer: -78013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 977700.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 r when three letters picked without replacement from rrhrhr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.30825kg in tonnes?\nAnswer: 0.09330825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 394. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28072 and 3944?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 divided by 84?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r + 1. Give d(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - (-23793172)\/(-3330). Let t = -839901667\/17316 - o. Let f = -41358 - t. Calculate the common denominator of -57\/2 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*12\/3*2*(-3)\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138793?\nAnswer: 138793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/16450)\/(93\/(-310)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10715*d**3 - 6489*d**3 - 4202*d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 23*u + 23*u + 3*u**4 with respect to u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 11534?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -1.630332\nAnswer: 0.17933652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427628 is divided by 117.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 106503 (base 9) in base 2?\nAnswer: 1111100101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -43160 - -82521. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 245106*g + 5006412603.\nAnswer: 3*(g + 40851)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 4:51 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 1 + 18\/(-1). Suppose 20 = -0*h + h. Let i = o + h. Solve k - 2*k = -4*s + 10, 2*k = -s + i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -291. Let w = -38 + q. Suppose 3*i + 47 = 5*o, 0 = 2*o + 5*i - 5 - 20. Calculate the highest common divisor of o and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50806 - 50806 - 3732*g to the form x + l*g and give l.\nAnswer: -3732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 30 = -x. Suppose -x*l + 30*l + 420 = 0. What is the lowest common multiple of 6 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2259, -2266, -2283, -2316, -2371, -2454, -2571?\n\"Answer: -l**3 + l**2 - 3*l - 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19098668 and 36.\nAnswer: 171888012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/25 - 44\/550. Solve 3*x - h + 4*h + z = 0, -3*x - h + 4 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.69 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/132 and 113\/4837044?\nAnswer: 53207484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559353.56639963 + 0.05.\nAnswer: -559353.51639963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 + 1085*i**4 - 501*i**4 + 1846*i**2 + 1430*i**2 - 498*i**4 + 5292*i - 1929*i**3 = 0. What is i?\nAnswer: -1, 0, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/3, -0.5, -0.73?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4401\/2 + 2159. Suppose 2*c - 3*m = m + 3122, -5 = -5*m. Let t = c - 31293\/20. Calculate the common denominator of p and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423644 (base 10) in base 4?\nAnswer: -1213123130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41529*h*l**3 - 11*h*l - 12876*l**3 - 13*l with respect to h.\nAnswer: -41529*l**3 - 11*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i, a + 1609*i - 1612*i - 220 = 0. Calculate the remainder when a is divided by 220.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 30*b**2. Let x be j(-1). Let k = -302 - -352. Let r be (-20)\/4 - 3*k\/(-6). Calculate the greatest common divisor of r and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, -26, -1\/4, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-8))\/((z*z**(-2\/17)\/z)\/z))\/((z**(12\/5)*z)\/z*z*z\/(z*z*z**(-7\/4))))**(24\/11) assuming z is positive.\nAnswer: z**(-20466\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111000100111001101101?\nAnswer: 111000100111001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 12) to base 13\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - (268\/5)\/(-4). Suppose 0 = 3*m - 0*m - 42. Let z = -2 - -5. Solve -m = -l + 5*u - z, l + h = -3*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 20 - (-3 + 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*n + 50 + 26 - 10 wrt n?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 - -104.0748. Let b = y + -3.2648. Round b to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3123, 3296, 3441, 3570, 3695, 3828, 3981?\nAnswer: 4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 92 = -174 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 304530000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 39. Let p be (-3)\/(-12) - d\/(-8). Let f(b) = b**3 - 3*b**2 - 5*b + 4. Let g be f(4). Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 5*m + 3. Let k be b(4). Let d = 11 + k. Are 2 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544244206 is divided by 155.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j**3 - 7*j**2 + 11*j + 4. Let a(c) = -8*c**3 + 3*c**2 - 5*c - 2. Give -7*a(q) - 3*b(q).\nAnswer: 5*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(288)*2 + sqrt(288)))\/((sqrt(6) + (sqrt(6) - (-1*sqrt(36))\/sqrt(6)) + sqrt(6))*1).\nAnswer: sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t**5)**(-2\/17)*(t*t**7)\/(t\/(t*t**(3\/4)*t*t*t))*(t**1\/t)**25 assuming t is positive.\nAnswer: t**(695\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7603 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.307 - 0.03566?\nAnswer: 0.27134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3686 = -2*n, -n - 10853 + 3461 = -4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 106*v + 1552. Give x(-7).\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 + 4*u - 5. What is m(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22049895 to 4 decimal places.\nAnswer: -0.2205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-32)\/((-32)\/4) - -1830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 divided by -2989.\nAnswer: -253\/2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-10 + 28 - 18 + 480*r).\nAnswer: -480*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5 + 16*t**4 + 272*t**3 - 296*t**2 - 268*t + 280 = 0?\nAnswer: -7, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3171 and 1057.\nAnswer: 3171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 4.85. Let t = 2 - p. Let j = -3 - t. What is the nearest to -1 in 2, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 79.69161 millimeters?\nAnswer: 79691.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -2\/21*o**4 + 0 + 1\/7*o**2 + o + 2\/21*o**3 - 1\/35*o**5 + 1\/35*o**6. Find z, given that p(z) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + 17*g**2 + 9*g - 2. Give l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -198*u + 164*u + 408. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5251 - -22411. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 65*j - 35. Let x(z) = z**2 + 98*z - 52. Let s(u) = -7*a(u) + 5*x(u). Let k be s(17). Suppose 0 = k*c - 16*c + 3752. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7399926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -79, -193, -371, -625, -967?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + h**3 + 3*h**4 + h + 1 + 0*h**4 to the form n*h**3 + f*h**4 + p*h**2 + g + l*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215278?\nAnswer: 2, 11, 17, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 808107761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000262355978 to seven dps.\nAnswer: 0.0002624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - d + 10 + 4 = 0, 0 = -5*b + d + 22. Suppose -t - 2*f - 2 = -16, -34 = -5*t - f. What is the greatest common factor of t and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -27, -2, 1 in descending order.\nAnswer: 1, -2, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 9, y: 11}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let d(y) = -3*y - 3. Let w(u) = -d(u) - r(u). Let v(a) = -a - 2. Determine -7*v(t) - 4*w(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*d + 11, 0 = -4*l + 29*d - 27*d - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1040\/693 + -1\/1386. Let a = -2.96 - -3. What is the closest to 1\/2 in v, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.1 + 64. What is the closest to -1 in -3, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 48 + 0*q**3 - 3\/4*q**4 + 0*q**2 + 58*q. What is the first derivative of c(m) wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 43. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19894 = -524*o + 6830 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 24 + 201. Calculate the remainder when 8 is divided by (-2)\/(-5) + 195\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1766220.14 and 273.\nAnswer: 1766493.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.1411 times -0.3\nAnswer: 0.64233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81782746?\nAnswer: 2, 67, 293, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*m**3 + 15*m**2 + 1 + 4*m**2 + 7*m - 6*m**2.\nAnswer: -109*m**3 + 13*m**2 + 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4749895.\nAnswer: 5, 949979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - s + 6 = -9, -18 = -3*t - 3*s. Let a be 1\/(t + 14\/(-5)). Let o(g) = g**3 - 6*g + 2. Is o(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(28\/210)*4\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9556.07058 milliseconds?\nAnswer: 0.00001580038125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 16*x**5\/5 - 7*x**2\/2 + 14. What is the second derivative of f(w) wrt w?\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51, 50, 49?\n\"Answer: -p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 times -1?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82460*k**2 - 29624*k**2 + 1 + 99895*k**2 - 1.\nAnswer: 152731*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -196, -394, -592?\n\"Answer: -198*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-27 - -19)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5903694 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 1120201 (base 3) to base 10\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15456\/(-920) + 15 + 1\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*(-1 - -1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928105620 divided by -5?\nAnswer: 585621124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -55216 to the nearest one hundred.\nAnswer: -55200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + -143. Find the third derivative of -37*x**6 + 363*x**2 - 427*x**r - 16*x**6 wrt x.\nAnswer: -6360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 3 - (-3 + 0). Suppose -2*c = 2*m - 3*m - p, 2 = -c - 4*m. Suppose -3*x + 29 = -c*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2345, 2367, 2427, 2543, 2733?\nAnswer: 3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393*t + 56199 = -310*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (0 - 1)) + -1. Let f = n + 5. Find the second derivative of -5*t**2 + 0*t**2 + 5*t + 0*t + f*t**2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 12. Let n(w) = -w + 4. Let a be n(j). Let r(i) = i**3 - 7*i**2 - 9*i + 10. Let f be r(a). Which is greater: f or 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0163216 + -0.1.\nAnswer: -0.0836784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 32*h + 21*h + 19*h + 0*h + 3*h - 4*h + (1 - 2 - 1)*(-4*h + 5*h + 0*h) as p*h + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u**3 + 6 - 6)*(u + 0*u - 4*u).\nAnswer: 45*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 359, 4.\nAnswer: 0, 1, 3, 4, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 - 14*f - 1. Let m be i(-5). Solve 21*n + n = -m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 1, p: 6, l: 2, x: 4, i: 1}. Give prob of sequence xxld.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43117 divided by 1976\nAnswer: 43117\/1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let c = -4 - m. Let j = -5.5 + 0.5. Sort c, -3\/2, j in increasing order.\nAnswer: j, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477047 is divided by 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-21 + (40 - 22 - -21))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + 260. Let t(s) = -s**3 + 3*s**2 + 17*s + 3. Let r be t(p). Is r at most 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 10*t - 40. Let x be z(-8). Let m be ((-4)\/6)\/(2 + (-32)\/x). Which is the second biggest value? (a) m (b) 10 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -353*i**5*y - 202*i**4*y**2 - 97*i**2*y**2 - i**2 + 124*i*y**2 - y**2 wrt i?\nAnswer: -21180*i**2*y - 4848*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 14*m - 90 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -22*u**3 - u**2 + 2*u. Let j be f(-3). Let x = j - 845. What is x rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 757 and 0.073.\nAnswer: 55.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8114, -16225, -24338, -32453, -40570, -48689?\nAnswer: -56810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -19*r**2. Let m(p) = 2*p**2 + 79550*p - 79550*p + p**2. What is f(m(o))?\nAnswer: -171*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -506, -246, -6, 208?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 30*r = 59*r - 323 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10996600 divided by 2199320.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x - 4. Let i(n) = 3*n - 11. Let v(p) = -8*p + 20. Let j(h) = 7*i(h) + 4*v(h). Calculate 5*j(y) + 4*r(y).\nAnswer: -7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 - 4*k + 15. Let z be r(9). Let y = -27 - z. What is the hundreds digit of (-19006)\/(-129) - (-1)\/y*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 1. Is f(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/1568)\/((((-36)\/8)\/9)\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -14011122?\nAnswer: 14011114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - v**3 + 1 + 0*v**3 + 15*v**4 + 5*v**3 - 2*v**2 - v as l*v + a*v**4 + k + f*v**2 + r*v**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6067\/5 (b) 4\/7 (c) -51 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.4 + -1.6. Let s = n - -11. Which is the biggest value? (a) 0.5 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24684 and 30.\nAnswer: 123420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - 4*j + 3. Let g(x) = -7*x**2 + 8*x + 2 - x - 8. Let t(d) = 3*g(d) + 5*o(d). Let w be t(9). Round w to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -161.\nAnswer: -9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3536\/(-170))\/(-52))\/(4\/120). Suppose u + 69 = -n + 3*n, 2*u = -2*n + 54. What is the highest common divisor of r and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 91. Let r be u(-18). Which is the fourth smallest value? (a) -5\/7 (b) -3 (c) 0.2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123488017 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -59*p - 1. Let g(u) = u. Give q(g(w)).\nAnswer: -59*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.3354488 rounded to 1 dp?\nAnswer: -61.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -17 (c) -8 (d) -1\/7 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-66)*(0 - -18).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 51*r**2 - 92*r - 1853. Let j be y(-50). Solve 3*q = 256 - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1532 + 1554 - (31 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1147*w**3 + 1304*w**2?\nAnswer: -6882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k + 18. Let d be g(6). Let c = 6 - d. Let i = -32 + c. Sort i, -5, -3 in decreasing order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15251970 divided by 58.\nAnswer: -262965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*w + r**3 + 11*r**2*w**2 - 34*r*w**2 + 3*r*w wrt r.\nAnswer: 12*r*w + 6*r + 22*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) -0.1 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**7)\/c**4)\/((c\/(c\/(c\/(c\/c**5))))\/c**(-1\/12)))\/((c**(-2\/9))**38)**(1\/58) assuming c is positive.\nAnswer: c**(-979\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 18, 3, -2\/589?\nAnswer: -2\/589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344 divided by -4?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 10 - 6 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24978418867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 15*d + 8*d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 4*p - 1. Let b(w) = -w. Determine 3*b(o) - c(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177418.\nAnswer: 2, 43, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - (7 + -14 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125679 is divided by 1030.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 11*s - 128. Give w(-7).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 288\/(-16))\/((56\/1960)\/(6\/50)).\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6168 + -6174. Put 4, -4, m, 0, -3 in increasing order.\nAnswer: m, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 10. Suppose -60*y + 145 = -31*y. Let f(n) = 2*n**2 - 11*n. Let l be f(y). What is the second biggest value in l, 21, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/2)\/((-8)\/(-12)). Let m be (n\/(-4) - -4)*-10. Find the second derivative of 0*v + 2*v**5 - 6*v + v - m*v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -7, -1, 3, -1?\n\"Answer: -n**3 + 8*n**2 - 15*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4 = d, -3*m - 962*d + 4 = -963*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (-29 + 84 + 3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/244 + -163067\/1220. Let r = 134 + f. Factor 0 + 0*t - r*t**5 - 6\/5*t**3 - 2\/5*t**2 - 6\/5*t**4.\nAnswer: -2*t**2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 - 2131\/9. What is the second biggest value in 0, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/12 - s**3\/3 - 3*s**2. Let x be i(-4). Suppose -4*y + h - 8 = -x*y, -20 = 5*h. Is 5 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781771.\nAnswer: 3, 19, 37, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -233*h**2*y**3 + 2*h**2*y**2 - 39*h**2*y - 1068*h*y - 37*y**3 wrt h?\nAnswer: -466*y**3 + 4*y**2 - 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 9*m)*(5 + 0 - 1)*(-29 + 21*m**3 + 29).\nAnswer: -756*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 682*c**2 - 47*c**4 + c**3 - 680*c**2 - 2 + 14*c**4 - 4*c to the form z + p*c**3 + w*c**4 + u*c + h*c**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 6\/5, -3\/67?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 4, 8?\n\"Answer: 4*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 153 = 74*i, 3712*q + i = 3714*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 i when four letters picked without replacement from xixxxww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)*k)\/k)**32*k\/(k*(k**(-2\/33)*k)\/k*k*k)*k*k*((k*k**6)\/k)\/k assuming k is positive.\nAnswer: k**(-8281\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 922123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -19*v**2\/2 + 9. Let u(i) = -105*i. Let p(m) = -5*u(m) + 28*z(m). Let d(l) = l. What is p(d(f))?\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 347 * 5.\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 - 2 = 0. Let n = 46 - 44. Let w be ((-1)\/n)\/(2\/(-12)). What is the highest common divisor of w and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 25*c - 1332 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:39 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961252571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -41*p - 40*p + 117*p - 37*p + 3*t, 0 = 4*p + 116*t - 428 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 168*d - 1010. Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1507 divided by -1\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 1426?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 21 + 25. Let s(l) = 0*l - 3*l + 5*l. What is the lowest common multiple of 8 and s(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(42\/(-18) + (-50)\/(-60))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 649*m. Let r(f) = 388*f**2 - 2*f - 702. Give a(r(u)).\nAnswer: 251812*u**2 - 1298*u - 455598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2280412 divided by -127.\nAnswer: 17956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 7*z**2 - 13*z - 5. Let q be l(-4). Let r be (42\/63)\/(q\/(-21)). Sort 1, 5, r in increasing order.\nAnswer: 1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u - 276. What is z(19)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 759?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:48 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t + 14*t - 31*t)*(-2 + 7 - 2 + 5).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 39560.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2019.1, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3297 and 2?\nAnswer: -6594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032067721 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q**2 - 90*q - 95. Let b be p(-1). Determine o so that -b*o + 0 + 9*o**3 - 42*o**2 + 21\/2*o**5 + 69\/2*o**4 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 n when three letters picked without replacement from vvaavntvahavvhvvsavv.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185 + -206 - (-2 - (1 - (-1 + 2)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342*m**2 - 16*m**2 - 254*m**2 - 224*m**2 + 106*m**2 to the form t*m**2 + h + c*m and give t.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187285 is divided by 3405.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8855 - 7?\nAnswer: -8862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1776558 (base 12) to base 4.\nAnswer: 102220122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*q + 117 + 15 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 6:26 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 12, -x = -3*x + 3*k. Solve x = -m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85739, 171499, 257261, 343025, 428791, 514559?\n\"Answer: p**2 + 85757*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4167311690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 6*w**3 - 4*w**3)*(-4*w**2 - 5*w**2 + 2*w**2).\nAnswer: -14*w**5 - 21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p**4 + 53354*p**3 + 14362777*p**2 - 87622512*p + 132158016 = 0. What is p?\nAnswer: -3832\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4918023193429\/334823 + 14688427. Let l = k + -87382115\/279912028. Let h = l - -3\/76. Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 19*f**3\/3 + f**2\/2 + 5*f + 1. Is i(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 3:28 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -155\/4. Let g(b) = -4*b**2 - 12*b + 3*b**2 + 0*b**2 + 16. Let c be g(-13). Put m, 4, c in ascending order.\nAnswer: m, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31761*-0.05.\nAnswer: 1588.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 - -184. Let t(q) = 8*q**2 + 2*q + 3. Calculate the remainder when t(-4) is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429703868 to the power of 1\/3, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -7*x**3 + 106539*x**2 - 2431497*x - 349531 = 0.\nAnswer: -1\/7, 23, 15197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-25740*z + 51487*z - 25740*z) - 5*z - 2*z + 5*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6414 + -4551. Does 81 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 3 + w + 5*w + 18*w**4 + 4*w - 6*w in the form s*w + q*w**4 + l*w**2 + h + d*w**3 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j**2 + 2236*j - 19931. Calculate g(9).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 81*j**2 - 6*j - 511. Give d(-81).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 81*o + 627710. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from eiiyev.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5\/3)*y)\/y)\/y**(-3\/8)*(y*(y\/(y*y**3))\/y)\/(y\/(y*y**(1\/4))) assuming y is positive.\nAnswer: y**(-73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, a: 1, d: 6, z: 1}. What is prob of picking 3 k?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - q + 1. Let t(w) = -18*w**3 + 8*w**2 - 2*w - 7. Calculate t(a) - 4*v(a).\nAnswer: -18*a**3 + 2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 + -0.072?\nAnswer: 234.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -11900211\nAnswer: -4\/11900211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 20 + 2. Suppose 0 = 5*l + 3*y - 117, -u*y - 2*y + 115 = 5*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24879.\nAnswer: 3, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656.7873 millilitres to litres.\nAnswer: 0.6567873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 + 5*i**3 - 8*i**3 + 13*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6819, 6943, 7067, 7191?\n\"Answer: 124*a + 6695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.1. Let v(q) = -5*q + 2. Let d(t) = 5*t - 1. Let m(p) = 5*d(p) + 4*v(p). Let r be m(1). Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17610 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51950\/(-1625) - -32 - 329\/130\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/(16\/48)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 1\/12*g**5 + 0*g**3 + 0*g - 1\/8*g**4 - g**2 + 0. What is the second derivative of l(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3 - 167*o**2 + 233?\nAnswer: 3*o**2 - 334*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17002, 17006, 17010, 17014, 17018, 17022?\n\"Answer: 4*c + 16998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 14618*m + 335671. Give w(-23).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 0, -12, -5 in decreasing order.\nAnswer: 0, -4, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - 6*d)*(-3*d + 0*d + d) + 2*d - 3*d**2 + 4*d**2 - 5*d**2.\nAnswer: 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3233 + 2051. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 6 = -15*f + g, -f = 4*g - 27. Let l = 2 - 0. Let o be ((-3)\/24)\/(f\/l). Is o less than or equal to 0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 + 684*k + 2272. Determine s(-95).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -31. Let c(t) = -7*t + 12*t - 9 - 7*t**2 - w + t**3. Is c(8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*s - 26*s - 6. Factor -15*q**3 - 1543*q + 799*q - 9*q**2 + 771*q - s*q**4.\nAnswer: -3*q*(q - 1)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:34 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -671900.7289 to the nearest 100.\nAnswer: -671900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/3 + 1. Let p(o) be the third derivative of 0*o + 0 - o**2 + 1\/24*o**4 + 0*o**3. Give u(p(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 116*z - 1489*z**4 - 188*z**4 - 2011*z**4 + 143*z**4 - 8*z**2 wrt z?\nAnswer: -85080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m**(-1\/5))\/((((m*m\/m**(-6))\/m)\/m)\/(m*m**(-1\/3)\/m)) assuming m is positive.\nAnswer: m**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 22290*q - 21598995. Determine i(969).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101001000010110100 (base 2) in base 13?\nAnswer: 1b320b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090888727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*p**2 + 528 + 271*p**2 - 528 - 133*p**2.\nAnswer: -223*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449459881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -5. Let b = -23 + 26. Suppose 6*o - o - m - 41 = 0, -2*m - 26 = -b*o. Calculate the least common multiple of o and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 28*n**2 + 53*n + 23. What is y(26)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2))**14\/(j**(2\/7)*(j\/((j*j**(1\/3)\/j)\/j))\/j))\/(((j\/j**(1\/5))\/j)**(6\/11))**(-24) assuming j is positive.\nAnswer: j**(-12209\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 145765077901 from -488.\nAnswer: -145765078389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 88 = 28. Let h be l\/(-25)*5\/(-2). Let y = 1322\/15 + -88. Which is the closest to 1\/4? (a) h (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 422394727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 847 divide 9611756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 times 11.2?\nAnswer: 0.6384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89215090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 7*a + 7. Let v be b(-6). What is the lowest common multiple of (2 + v)\/((-1)\/(-6)) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let v(p) = 12*p**2 - 2*p - 2. What is the remainder when v(t) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/6)\/14*-8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n = -59*n + 121*n - 36. Solve 26 = n*c - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 30 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 15*d + 3. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20379632 and -93\/112087976.\nAnswer: 224175952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 18*n**2 + 19*n - 35. Give r(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1348 and 112395566.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 smaller than -38120\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and -85.\nAnswer: 11.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000294656 rounded to 6 decimal places?\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4073*d**2 + 299*d + 2203. Let l(o) = -2037*o**2 - 138*o - 1102. Let z(t) = 13*l(t) + 6*q(t). Differentiate z(k) wrt k.\nAnswer: -4086*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 180 + 158 = 2*s, 3*w - 37 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/2)*r*r\/(r\/(r*r\/(r*(r*r**11)\/r))) assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(-3*6\/(-264)). Suppose -4*q - z + 17 = 0, -2*q + 5*z = -q + x. Suppose 5*f - 4 = q*f. Solve -f*c = 3*v + 13, 21 = 3*c - 5*v - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 261274338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1680 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 = -3*z - 4*h, 0 = 4*z - 5*h + 1. Sort 5, 13, z, -5.\nAnswer: -5, z, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 36. Let m = y - -53. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.06, 0.08, -3 in decreasing order.\nAnswer: 2, 0.08, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3, -5*y - 3*r = -4*y. Let p = 17 + y. Suppose -o - p + 23 = 0. Solve -o = -8*v + 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.3 (b) -1\/6 (c) -1\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3768 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -3*b**2\/2 - 1. Let g(i) be the third derivative of -i**5\/30 + 34*i**2. What is j(g(h))?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 9*s + 8. Let f(m) = 5*m**3 - 3*m**2 - 3*m. Let g be f(s). Let l = g + 46. Solve i = -l*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 554, 814, 1080, 1358?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v + w, 2*v + 2 = -w - 9. Let t be (v + (-68)\/(-14))\/(-1). Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*t = -403*t - 10. Suppose t = 2*v + h, 5*v + 70*h - 5 = 69*h. Solve 5 = -5*f, v = -2*l - f - 2*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/28 in 4, -0.07, -14\/163, 0.5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 36 - 2*d**3 + 73 + 3*d.\nAnswer: -2*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 3*l)*(8 - 74 - 7).\nAnswer: -73*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7 = -2*k, -27 = -y - 3*y + 3*k. Suppose i = -y*i. Suppose i = -3*z - z + 40. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 + 3*x + 6. Let u be n(-5). Suppose 6 + u = 2*a. Let b = a + -8. Solve -r = -0*r + b*k + 8, r + 4 = -k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-3 + (-4 - -1)). Let n(t) = t**3 - 8*t**2 + 5*t + 8. Let k be n(p). What is the units digit of (-4)\/((18\/39)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 76. Which is smaller: 2\/179 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 776\/(-4850) + (-1857)\/(-825).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 11*r**2 - 11*r + 12. Let n be (24\/(-3))\/2 - 8. Let g be t(n). Let w be 85\/35 + 3\/(-7). Solve 2*v = -5*q, 0*q + w*q - 2*v - 14 = g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 417 + 7336. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77298925.\nAnswer: 5, 11, 103, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) 2 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*y**2 - 40*y**2 + 247*y - 38*y**2 + 130*y**5 - 46*y**2 wrt y.\nAnswer: 2600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.75747 rounded to 1 dp?\nAnswer: -363.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 18 = 3*i - 2*l, -3*l = -9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*w + w**3 - 9*w + 21*w**2 - w)*(2*w + 3 - 3 + (-4 + 2 + 0)*(4*w - 4*w - w) + 4*w - w - w) as b*w**3 + o*w**4 + z*w**2 + q + u*w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5315622 divided by -2963\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 460 (base 11) to base 9\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1843, 3670, 5499, 7330?\n\"Answer: r**2 + 1824*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -292 - -294. Solve v*p = -m - 2 - 2, -2*p = 3*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10166 - 9759. Which is greater: h or 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 4, d: 2, q: 2, a: 10}. What is prob of sequence aqqu?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210641248*n**3 - 2486*n**2 - n - 946.\nAnswer: 1263847488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131095 less than 1?\nAnswer: -131094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 2:54 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 - j**3 + 5*j**2\/4 - j\/2.\nAnswer: j*(j - 2)*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfd when three letters picked without replacement from ddfddddf?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/5, 5.6, -1\/2?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -800 - 2*v + 99*v**3 + 4*v + 804 to the form o*v**3 + g*v + w + f*v**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.35. Let t = y + 0.8. Which is the closest to 0.1? (a) t (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 632, 1361, 2042, 2669, 3236, 3737, 4166, 4517?\n\"Answer: -w**3 - 18*w**2 + 790*w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 26*w + 31. Give i(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**3 - 4*y - 7. Let s(w) = -5*w**3 + 2*w + 4. Let q(u) = 5*u + 18. Let l be q(-5). Calculate l*s(n) - 4*v(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14696 by -4.\nAnswer: 3674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(5*(-7)\/7).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 1. Let o(z) = 3 + z**2 - 8*z**2 - z + 2*z. Suppose -10 = -3*b - 25. Determine b*j(a) - 2*o(a).\nAnswer: -a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100006, 200203, 300402, 400603, 500806?\n\"Answer: u**2 + 100194*u - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veykauyvakeyuyekuk. Give prob of sequence ak.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + f - 2*f + 14, 0*f - 2 - 9 + 0 = -5*m - 3*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - q**2 + q. Let n(s) = -13*s**3 + 47*s**2 - 16*s. Calculate -n(v) - 3*w(v).\nAnswer: -2*v**3 - 44*v**2 + 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**2 + 104*z**2 - 65*z**2 - 71*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2393279 by -1493.\nAnswer: -1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4.5 (c) 122 (d) 281 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + n + 7, -8 - 7 = 5*q + 5*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 2*i + 0*i)*(3 + 2 - 4) + 14*i - 4*i - 119*i)*(-3*i + 4*i - 3*i).\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 + 27*d**3 - 45*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -4, -2\/11, 7\/4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6581, -6556, -6515, -6458, -6385?\n\"Answer: 8*r**2 + r - 6590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 413093268 and 76776?\nAnswer: 826186536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1035967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22010, -3, 3 in increasing order.\nAnswer: -22010, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-102))\/(-1*5)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:42 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12\/(-8) + -9.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -2c0c86?\nAnswer: 2c0c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 1 + 1)*(0*w**2 - w**2 - w**2)*(-24 + 1 - 9).\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9 = -3*c, 4*c + 9 - 6 = 3*n. Put c, 0.7, -0.8 in descending order.\nAnswer: c, 0.7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -7)*(-1)\/2. Suppose j = -f - 7*f + 152. Suppose -2*o - 608 = -6*o. What is the highest common divisor of f and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 17 = 2*y - 176, 0 = 4*a + 4*y + 2597 - 2485 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -245?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 246 + 250. Suppose -4*l = -z, 2*l - 90 = -q + 164. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8833.4978 * -2.\nAnswer: 17666.9956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + u + 32 = 0, 20181*q = 20185*q - 7*u - 20 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2 + 9521 - 9530 + 7*c**3 + 76*c**3 - 6*c**2 wrt c?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 3*l + l, 12 = 3*l. Let u = 10 - b. Let z(n) = n**3 + 4*n**2 + 5*n + 3. Let p be z(-3). Put 3, p, u in ascending order.\nAnswer: p, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 175\/14*(7 - 5). Solve -6*w + 5 = -p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a**3 - 5*a**3 - 2*a**3)*(10*a + 20*a + 23*a).\nAnswer: 371*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -73.\nAnswer: 33\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 87\/27 + (-18)\/6. Let p = -0.4 + 0.7. Let y = p + -0.5. What is the nearest to y in -3, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:10 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + sqrt(252))*-1*5*-1 + 0)**2.\nAnswer: -1140*sqrt(7) + 6661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -2 + -2758 + 2709?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 35 - -27) + 17 + 12\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, f: 3}. What is prob of picking 2 d?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-9) - (-31)\/(-9))*-9. Let i = l + 11. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 - 231?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 4*i**3 + 0*i**3 - i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1731 + 3785. Calculate the remainder when w is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*n**2 - 21*n**2 - 8*n**3)*(2 + 20*n - 1 + n).\nAnswer: -168*n**4 - 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(-156*m**2 + 168*m - 168*m) - 1 - 2*m**2 + 1 to f*m + z*m**2 + w and give z.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) + 2 + -4 - sqrt(192) - (1 + (sqrt(192) - (sqrt(192) + 0) - sqrt(192)))) + -4)**2 + -3.\nAnswer: -485 + 224*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.5, 0, -2\/17 in decreasing order.\nAnswer: 0, -2\/17, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*s - 148 = 0, -z - z - 64 = 4*s. Let k = -21 - z. Calculate the remainder when k\/6*8\/6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(176)*2*3 + (-1 + sqrt(176)*1 - (0 + sqrt(176) + 3)))**2.\nAnswer: -768*sqrt(11) + 101392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 54948b8?\nAnswer: 54948b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25522131 (base 7) to base 16\nAnswer: 2379bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13661 or 13662?\nAnswer: 13662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 + 324 = -7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*(-37 - 28900\/(-782)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5363 = 5*a, -35*s - 3216 = -3*a - 38*s. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64164059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.078601 to 3 dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1958, 3925, 5896, 7871, 9850, 11833, 13820?\n\"Answer: 2*t**2 + 1961*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2, 19.1, -1570?\nAnswer: -1570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 9*t**2 + 12*t - 2. Calculate l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 e, and 1 b when four letters picked without replacement from eleeeeblblelbleb?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122193?\nAnswer: 3, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/6 - 7856*m + 1179650\/3 = 0.\nAnswer: -47186, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 38.541518 * -0.3\nAnswer: -11.5624554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5. Let a be b(-3). Suppose 0 = -4*f - a*f + 2408. What is the highest common factor of 43 and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4056892*o**4 - 9545757 wrt o?\nAnswer: -16227568*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 523 - 371. Let g = -524 + 527. Suppose g*a - 70 = -4*u, 2*u = 4*a - a + 26. What is the lowest common multiple of u and k?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -5*b**4\/8 + 10*b**3 - 208*b**2. Let k be q(4). Which is greater: 4\/171 or k?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z. Let g(s) = -3*s - 19. Let o(r) = 34*r + 78. Let q(m) = -9*g(m) - 2*o(m). Determine y(q(n)).\nAnswer: -164*n + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 0*v**3 - 2*v**5 - 3 - 2*v**5 + 3 + (-3*v - 2*v + 4*v)*(4 + v**4 - 4) - v**5 + 3*v**5 + 0*v**5 + 10834 - 10834 + 115*v**5.\nAnswer: 112*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15568?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 128, 185?\n\"Answer: 57*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3321*654.\nAnswer: 2171934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-21) + (-17585)\/(-35). What is w rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 68*t**2 - 30*t - 269. What is the thousands digit of s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(f**4 - 2*f**4 - 4*f**4).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545527921?\nAnswer: 7, 1193, 185071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 37. Calculate f(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -92. Let z = -4 + 9. Suppose l = z*w - 5. Solve -4*q = u - w*q + 2, 0 = 4*u - 5*q + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:23 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*-182*(-17)\/34. Let d = -68 + r. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*d - 5. Suppose -k + d*x = 11 - 2, -k + 4*x - 4 = 0. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v**3 + 0 + 0*v - 1\/12*v**4 + v**2. Let t(z) be the first derivative of -z**2 + 1. Calculate t(a(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.159 or -2.23?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 35. Suppose 4 = j - r. Suppose 0 = 2*a - j*a + 621. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 830. Let a(j) = 3*j - 414. What is 5*a(m) - 2*f(m)?\nAnswer: m - 410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -30. Suppose 0 = 4*l - 5*i - f, l + 3*i - i = 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*b = -18, -27*x + 20 = -29*x - 3*b for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.0045, 66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*c - 2 - 32*c + 9)*((3 + 1 - 3)*(1 - 2 - 5) + (5 + 0 + 0)*(-1 + 1 + 2)).\nAnswer: -8*c + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Let a(y) = -7 - 1 + 4 - 21332*y. Let w be a(f). Round w to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017582694372 to six dps.\nAnswer: -0.017583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 348339 + 981448. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.646968 millimeters in micrometers?\nAnswer: 7646.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -816 >= -814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4170 + 37091. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + 4*i**2 + 7*i**2)*(8 - 8 + 4*i)*(-1 + 0 - 1) to t*i**2 + m*i + w*i**3 + b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 - u**4\/3 + 5*u**3\/6 + u**2 - 6*u. Let a be l(-5). Suppose -2*r + 164 = 2*m, 0*r + 79 = m + a*r. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*r + 2*v + 3*v, 5*v = -15. Solve -4*s + r = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 - 29*v**2 + 6*v + 18. Let d be z(12). Calculate the greatest common factor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 16.1. Let d = 15.9 + q. Let w = -1 + 0.6. Which is the nearest to d? (a) -3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let h(s) = s**3 + 13*s**2 - s - 14. Let j be h(-13). Let d be v(j). Suppose d = l - 4*l + 39. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - t**3 - 1440*t + 3*t**2 - 2 - 12*t**2 + 5*t**2 + 6*t**2.\nAnswer: -t**3 + 2*t**2 - 1440*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**1*j*j)\/j))**(-32) assuming j is positive.\nAnswer: j**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrrhhrhhhrrh. What is prob of picking 3 h?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1548986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 66?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 + 0*p + 22*p**2 - 26*p**2 - 1 + 2*p**3 - 2*p + p**4 as i + c*p**2 + x*p**4 + z*p + f*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -56, -105, -174, -269, -396, -561, -770?\n\"Answer: -u**3 - u**2 - 25*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 21575.339886?\nAnswer: 21577.339886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/130439 or 0?\nAnswer: 3\/130439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 29*q**7\/105 + 13*q**6\/120 + 45*q**4\/4 + q**3\/3 - 929*q**2. Find the second derivative of m(r) wrt r.\nAnswer: 696*r**2 + 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1540*0.14\nAnswer: -215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - (192\/30 - 9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090897 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 2 s when four letters picked without replacement from {g: 3, p: 1, a: 2, s: 2, d: 3, l: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8831 - 13499 = 4*k, 3*b - 3*k - 33510 = 0. What are the prime factors of b?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 798.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*(sqrt(171) + 0 + sqrt(171))*1 + -4))**2 + 1.\nAnswer: 1296*sqrt(19) + 55549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -3345627?\nAnswer: 3345622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/30 and 71\/8268?\nAnswer: 41340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/17 (b) 0 (c) -3 (d) 547 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2)*-3)**2 + (-1*sqrt(24))\/sqrt(8) + -5.\nAnswer: -sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oll when three letters picked without replacement from oklkymlokukm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 108 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 38*k - 398. Give p(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 8*y**2 + 4*y - 11. Let g be d(-9). Let m = 899\/7 + g. Which is the nearest to 1? (a) -2 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1922760 and -6?\nAnswer: -11536560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 5, v: 7, s: 3}. Give prob of picking 1 v, 1 e, and 2 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22428 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6259*l**3*o + 3131*l*o**2 - 63250988*o**2 wrt l?\nAnswer: 18777*l**2*o + 3131*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1059558 millennia to centuries.\nAnswer: 1.059558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -16*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -4.8. Let j = -0.5 - 1.5. Let u = c - j. Do -0.1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -446 + 451.5. Let k = g - 5.5000035. Round k to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125888 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -28568 less than or equal to 613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 39794, -4, -7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/8*42\/196?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 100776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*19\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111431.\nAnswer: 111431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*k - 4*k + 2*k)*(-2 + 2 - 1) to the form r*k + v and give r.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/9 + 14*x\/9 + 40\/3 = 0.\nAnswer: -5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18\/23, 1\/4, -61\/2, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/4, -18\/23, -4, -61\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 104771007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose 5*f - 4*c + 23 = 0, y*f + c = 4*c - 15. What is the units digit of -2 + (15 - (-6 - f))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125017 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 66 = k, -5*l + 5*k - 9*k + 162 = 0. Calculate the remainder when 119 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212155 divided by -42431?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:56 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 38556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 1365*f - 1370*f - 19, v - 2*f - f + 11 = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 7. What is j(-14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*-6*(-3 + -2*sqrt(192) + sqrt(192) - (-2 + (sqrt(192)*2 + sqrt(192) - sqrt(192)))))**2.\nAnswer: 995328*sqrt(3) + 35852544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1688, 2, -9, -3, 18, 5 in decreasing order.\nAnswer: 18, 5, 2, -3, -9, -1688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i + 3. Suppose 5*j - 1 = 24. Let s(m) = -9*m - 6. Calculate j*h(f) + 2*s(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338*q**2 - 653*q**2 - 655*q**2.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23525314 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1139 and -11\/1207?\nAnswer: 80869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 6}. Give prob of picking 1 s and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((4\/16)\/(289\/544)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.95904 - -27. Round s to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**2 - 41*l + 41*l + l**2 - l**2 + l**2 + (2*l + 3*l - 4*l)*(2*l + 0*l + l) - 2*l**2 + 4*l**2 - 3*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + ((-45 - -44) + -27 - -48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 85296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -134, -25, 132, 355, 662, 1071, 1600?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 36.4. What is the nearest to -1\/2 in 2, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*s + 2*s + 3*s)*(3 - 3 - s) + 4 + 13*s**2 - 5*s**2 - 1 in the form x*s**2 + h + w*s and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:18 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, l: 5}. Give prob of picking 2 b and 2 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - q - 19 = 4, -4*z + 86 = 2*q. What is the remainder when 745 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 740 + 13583 = -a, -5*r - a = -23877. Let g = r - 47681\/10. Find the common denominator of (-4)\/(40\/(-1775))*1\/(-25) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 663102 by -66.\nAnswer: -10047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Let n = 9 + g. Calculate the highest common divisor of 99 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*y - 4, -99227*y = -99222*y - 2*g + 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p + 629. Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 518187791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/70*21\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 30 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w + w - 4 + 3*w. Calculate the smallest common multiple of p(-7) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-36) - 20\/(-90). What is the third biggest value in 4\/5, 0, 5, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -32. Solve b = -2*b - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 60. Let p be q(-19). Suppose p*a - 3*h = -6, 13 = 5*a + h - 1. Solve a*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-4*h + 2*h - 2*h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6*11\/(99\/18)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.25*17.5\nAnswer: -39.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 7, 1, -21, -65, -137, -243, -389?\n\"Answer: -t**3 + t**2 + 8*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - -1) + (747 - 762) - -56.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3\/6 + 2*v**2 + 3*v + 3. Let b(c) be the first derivative of i(c). Calculate the lowest common multiple of b(-6) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18005*a**3*z**2 + 43*a**3 + a**2*z**2 + 2*a*z + 2*z**2 - 30603*z wrt a?\nAnswer: 108030*z**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/7 - 516*p\/7 + 22188\/7 = 0.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*t - 1338 + 7502 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 182, 269, 356, 443, 530, 617?\n\"Answer: 87*m + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21401 is divided by 154?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/51, -4\/5, 0, -12\/13?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {k: 4, y: 2, c: 7, q: 2, n: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 814 and 2035.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465192 divided by -6552.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224259327370*w**2 + 224259327370*w**2 + 2*w**3 + 5.\nAnswer: 2*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + -2. Let o = -0.7 + 0.7. Let c = j + o. Round c to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/8)\/(80\/288))\/((-282)\/(-1645))\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 + 1 = 0. Let j be 0 + 1 + 3\/(-6). Factor 0 + j*d**q + 1\/2*d.\nAnswer: d*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one fifths of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*z + 10848 = -6418, -17284 = -3*j - 5*z. Suppose 3*d - 15985 = -j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 13080310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115867102 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-42)*7)\/(65\/78)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 8*t**2 - 7*t - 9. Let x be j(7). Let v = x + 12. Let i be (-7)\/4 + (-3)\/12. Put -5, i, v in decreasing order.\nAnswer: v, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -5, 18, 208 in descending order.\nAnswer: 208, 18, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (50*f + 81 - 4 - 46*f)*(2*f**2 + 1 - 1).\nAnswer: 8*f**3 + 154*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n - 4736 = -44*n. Let u be (-1)\/7 - n\/(-518). Solve 3*v = -y - v + u, 3 = 3*y - 4*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26775464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -58. Suppose -6*t = -t - 245. Calculate the remainder when t is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 4, 0.3, -2, -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.3 (b) -1.8 (c) 1907 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from peepphphhpehpepe.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**5\/60 + 59*r**3\/6 - 25*r**2 + 5*r + 4. Let m(h) = 13*h. Calculate m(q(f)).\nAnswer: -13*f**2 + 767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 29*m**2 + 45*m + 41. Let p be (7\/(-2))\/((-1)\/8). Is b(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13351 and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 633 and -1.8?\nAnswer: -1139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*x**2 + 150*x**2 - 1 - 130*x + 402*x**2 + 131*x + 1624*x**2 to q + z*x**2 + v*x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 33*b - 53. Let s be z(-18). Let j(q) = -2 + 6185*q**3 + q**2 - 6183*q**3 + s + 3*q - 2*q**2. What is j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 12*n**2 + 27*n - 14. Let a be s(-14). Suppose 8*d + 2*m = 4*d - 27034, -2*m - 2 = a. Round d to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 14, n: 5}. Give prob of sequence nnnf.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01319 times -0.4\nAnswer: 0.005276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**6 - 55*z**3 + 643*z**2.\nAnswer: -720*z**3 - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -2322356?\nAnswer: -2322412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = 9*u - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588955553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 287*s**2 - 9. Let d(m) = -143*m**2 + 4. Give -9*d(j) - 4*x(j).\nAnswer: 139*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5175 (base 15) to base 3.\nAnswer: -212121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46171776 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170164?\nAnswer: 2, 292541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeqqeqeqeqqqeeqz. What is prob of picking 3 e and 1 z?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 3\/1813, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153024290 rounded to the nearest one hundred thousand?\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eliel. What is prob of picking 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1320 + 885. Let j = 417.95 + z. Let c = 26.32 + j. Round c to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10360 and 15.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = -14*q + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4834425 is divided by 589.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/13 - 320620\/(-975936)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 177*j**2 - 19467*j - 324. Determine r(110).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 73. Sort 3, -2\/9, n, 0.2 in decreasing order.\nAnswer: 3, 0.2, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576087487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 157*c**2 - 176*c + 78. What is q(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*d = -10, -3*d - 23 = -5*z - 2*d. Suppose -z*b = 4 - 16. Solve 0 = b*f - 0*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1810, -1800, -1790, -1780, -1770, -1760?\n\"Answer: 10*n - 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0606 + -0.1094. Which is the nearest to 2? (a) w (b) 4\/3 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 719 + -306. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 3*m - 95. Determine x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7492, 28, -4 in decreasing order.\nAnswer: 7492, 28, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*v + 8662*v - 330137 = 1478*v for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 497701 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.51564 decades in years?\nAnswer: 675.1564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 377124117 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmdnaay. Give prob of picking 1 n and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17937 or -35873\/2?\nAnswer: -35873\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 4, 2, -1.27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2. Let m(y) be the first derivative of -y**5\/60 + 187*y**3\/3 + 131. Let b(x) be the third derivative of m(x). Determine r(b(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1760694, 7042814, 15846348, 28171296, 44017658, 63385434, 86274624?\nAnswer: 112685228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 82 + (-1 - (-6 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143)*1 + sqrt(143))*3)\/sqrt(11) + -2)**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166130 to the power of 1\/2, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -n - 73, h + 4 = 5*h. Let o = -146 - n. Let v = o + 128. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -ac3?\nAnswer: ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-8))\/(25\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzd when three letters picked without replacement from {m: 2, d: 1, h: 1, i: 2, z: 1, j: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 25 = 5*f, 0 = 3*f - o - 23. Let r = 8 - f. Calculate the greatest common factor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrbbrrr. Give prob of sequence rb.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2494 and 2552.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) 1 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10075 is divided by 5031?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 57*f = -135333. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.11 + 0.11. Let k = 0.9 + m. Put 1\/3, k, 0.3 in increasing order.\nAnswer: k, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4161.09798 to the nearest ten.\nAnswer: -4160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*d = -31, -4*w + 15 = d + 2. Let c be 4\/10 - 9222\/90*3. Let v = c - -4607\/15. What is the second biggest value in 5, w, v, 8\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let h = 3 + -1. Let t(z) = -3*z**2 - 2 + h. Calculate t(y(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -7*x**3\/2 - 19*x**2\/2 - 4*x + 2 = 0?\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = -5*i + 22, -5*s - 20 = 0. Suppose 2*q = -5*a - 2*q + i, -2*a + 5*q + 9 = 0. Solve -a*o + 8 = -5*f - 15, 4 = -4*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. What is the first derivative of -16 + 15 + 3*r**o - 6*r**3 wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a. Suppose 15 = 3*x - a*x. Suppose x*s - 5*q - 1291 = -q, 3*s - 775 = 2*q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i - 1. Let j be w(1). Let t = 2 + 18. Let k be 2\/t + (-2)\/(-5). Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 23*v = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11845674 to the nearest integer?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbhgz. Give prob of sequence hmg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 - 4464995945.53?\nAnswer: -4464995945.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4113?\nAnswer: 4\/4113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000133422599 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -21. Calculate the smallest common multiple of w and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -594.5 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78556044 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45366522 divided by 6?\nAnswer: 7561087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14210 + -3?\nAnswer: 14202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*g + 4*b, 12*g - 17*g = -4*b - 320. Calculate the remainder when 118 is divided by g.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 229\/11970 and -47\/342?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/306191504 and -35\/344465442?\nAnswer: 2755723536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -4*i + g, 0 = 4*i - 4*g - 8. Suppose -i*j = j - 30. Let p(h) = -h**3 + 3*h**2 - h - 2. Let n be p(2). Solve -j = -2*r - n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 35*c - 12 = 0. Let k be 3\/(0 + 9\/(-6)). Are c and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 4:21 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -84, 1\/8, -2\/9?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -817376291 - 180?\nAnswer: -817376471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629 = 6*p - 277. What is the remainder when -151 + p + 2*110\/4 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + -1) - (1 + 8) - -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443831 plus -1?\nAnswer: 443830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1609162 divided by -2\nAnswer: -804581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150664146 - -2?\nAnswer: 150664151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 20. Suppose 0 = y + 3*y - 24. Let b be h(y). Which is smaller: b or -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 20. Let j(c) = c - 17. Let p(d) = -a(d) + 2*j(d). Let n(b) be the second derivative of b**4\/12 + b + 4. Calculate n(p(k)).\nAnswer: k**2 - 28*k + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 12 = 16*p - 18*p, 2*i + 5*p + 30 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 398*p + 37060. Determine h(-92).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {n: 1, d: 3, q: 16}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3, 1, -0.35956, 2, -2?\nAnswer: -0.35956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163.4941199121 + 0.1054.\nAnswer: 163.5995199121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 2. Let p(z) = z**2 + z. Let b(r) = -h(r) - 3*p(r). Let v = -24 - -20. Give b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 = 670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 36*a**2 - 21*a - 15. Let f(x) = 7*x**2 - 4*x - 3. Give 11*f(z) - 2*j(z).\nAnswer: 5*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = 5*o - 8, -4*s = -2*o - 10. Calculate the remainder when (-3)\/(3\/2) + (50 - o) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (0 - (-93)\/(-13)). Let j = 2 - 2.2. Which is the third biggest value? (a) j (b) -0.03 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10*-1 - 1. Let j(z) = z**3 - 5*z**2 + 4*z - 3. Let l be j(4). Let y = l - -2. Which is greater: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*z + 56, 0*g = -z - 2*g - 8. Let d be z\/8*(-40)\/12. Find the second derivative of -2*f**d + 0*f**5 + 9*f + 4*f**5 wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q*q\/q**(5\/6)))**39\/((q**(1\/3)*q*q**(1\/5)*q)\/(q*(q**(-2\/3)\/q)\/q*q)**(-28\/9)) assuming q is positive.\nAnswer: q**(-22939\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -54, -114, -194, -294?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 28*g - 4. Let k be w(4). Let h = k - 62. Suppose h + 8 = 6*a. Let j(t) = 4*t**2 - 9*t - 9. Let d(y) = y**2 - 2*y - 2. What is a*d(c) - 2*j(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/45*7650\/(-1700)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-67 + 67 + 10*g) + (7*g - 3*g + g)*(6 - 3 - 4).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4515, 947, -2621, -6189, -9757, -13325?\n\"Answer: -3568*t + 8083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 11*z - 6. Let b be o(13). Let v = 29 - b. Calculate the lowest common multiple of (-1 - -7)\/(6\/9) and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b318 + -d?\nAnswer: 5b309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 298 - 198. Let z(s) = 20*s**2 - 6*s + 6. Let m be z(1). What is the highest common divisor of m and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0 + 6*u + 3*u**2 + 0 - 1. What are the prime factors of m(6)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -331\/15 and -21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 99 = i - 90, -3*i - 4*g = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -23. What is the third derivative of -69*r**3 - l*r**2 + 71*r**3 - 12*r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -53*r**9\/504 + r**6\/24 + r**5\/20 + 97*r**4\/4 + 598*r**2 + 2. What is the third derivative of k(w) wrt w?\nAnswer: -6360*w**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 27, -9, -75, -177, -321?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17 and -32\/61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4792 = -719*n + 2567 - 6403 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52 - (-14 + 80)) + (-16)\/(-2) - -21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 70 = -3*p, 0*p - 3*u = p - 10. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44, 4, -4, -1\/3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802 is divided by 4773.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 75568?\nAnswer: 75566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/24)\/20 - (2 + -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 646866 - -174?\nAnswer: 647151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -34. Suppose -4 = -u + 2*x - y*x, 5*u + 25 = -5*x. What is the tens digit of 1\/u + 2 + 70\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*f + 3, -14*m - 8*m - 4*f = 3*m - 21*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**4 - 707*o**3 + 1866. Let p(y) = -14*y**4 + 2122*y**3 - 5598. Let h(u) = 17*b(u) + 6*p(u). Differentiate h(w) wrt w.\nAnswer: 4*w**3 + 2139*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 20. Suppose 5*v - o*v - 10 = 0. Solve -v*k = 2*p - 5, 2*p = 6*k - 5*k - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 9 + 5 - 7*g)*(-2 + 2*g + 2 + 3*g - 4*g + 2*g + (-3*g - g + 2*g)*(1 - 2 - 1) + g - 3*g + 4*g + 2*g - 5*g + g) as m*g + f*g**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x - 95. Calculate u(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 + 2*k**2 - 6. Let i(g) be the third derivative of g**6\/20 - g**5\/30 + 5*g**3\/6 - 11*g**2. Give 5*a(o) + 6*i(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464011538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 8*i**2 - 7*i + 5. Let y be r(-9). Let x = 67 - y. What is the highest common factor of x and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3386124 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -2. Let v be -4 - (4 - 9) - b. Suppose 0 + 1\/5*z**3 + 4\/5*z + 4\/5*z**v = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -73\/3. Find the common denominator of m and -9\/13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Let q be ((-2)\/4)\/(3\/(-132)). Let p = q + -13. Solve -24 = -x*a - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, -0.05, 3.\nAnswer: -125, -0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818442 is divided by 2221.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2520 and 5802615?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262711?\nAnswer: 29, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 438526*w + 23241878. Calculate t(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.805222 seconds to days.\nAnswer: 0.002810245625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -142*m - 5. What is the thousands digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*j - 88 = -129, 4*c - 5*j + 53 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 + (-1)\/(1\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -32, -1.2, 5, -227?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -16, 3*x = 127*i - 123*i - 472. Calculate the remainder when 1029 is divided by i.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - 1\/(-3)*-6. Let o be 2 + -1 - (-7 - g). Is 14 a factor of ((-164)\/o)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-6.8\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4320 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**3 - 6*c**2 - 2*c + 1. Let m = 46 + -55. Let x be m\/18*(-4)\/(-2) - 1. What is the tens digit of j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**2 - 1619*g**2 - 337*g**2 to x*g**2 + c*g + t and give x.\nAnswer: -1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5164247*p**3 - 936271*p**2 - p + 2 wrt p?\nAnswer: -30985482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 + 3 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6*t**2 - 2*t - 6*t**2 + t**2 to u*t + m*t**2 + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-25) + (-2)\/5. Let y = -151\/174 + 1\/29. Which is bigger: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1335 + -583. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 15*p**2 + 44*p + 9. Calculate a(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 813*g - 810*g. Let u(v) be the first derivative of 4 - 8\/3*v**3 + g*v**2 + 5*v. Differentiate u(n) wrt n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 6, p: 1, h: 7}. Give prob of picking 2 h and 2 v.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301330 (base 4) in base 11?\nAnswer: -8613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -36. Suppose 4*x - 4*u = w, u - 6 = 4*x - 37. Solve -5*b = -2 - x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r + 15 + 16 - 7 + 4. Let k be z(8). Calculate the highest common divisor of 37 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -24, -23?\n\"Answer: o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 8519714.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 plus -1.2208?\nAnswer: 407.7792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 15*h**2 + 16*h - 11. Let n be (1 + 1)*1*(-26)\/4. List the prime factors of p(n).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-12)*6444\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20511 is divided by 9229?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 + 215. What is the smallest common multiple of b and 50\/(-120)*-12 - -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.4, 5, 32\/3, -2\/27.\nAnswer: -0.4, -2\/27, 1\/2, 5, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/3746112 and -83\/20928.\nAnswer: 3746112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1671, 3205, 4705, 6165, 7579, 8941?\nAnswer: 10245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 23*g**2 + 3*g + 48*g**2 - 23*g**2 - 10*g**3 as x + j*g**3 + h*g + q*g**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 (base 6) in base 4?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/215 and 91\/240.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 - z**3 + 8*z**3 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -19*a**2 - 5*a. Let n be 1 - (-4 + 1 + -1 + 0). Let i(j) = 56*j**2 + 14*j. Let y(z) = n*i(z) + 14*c(z). Let m(r) = 2*r. Give y(m(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 31*x**2 + 58*x + 9. What is y(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8330 by 1666.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -97, -92, -89, -88?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(3\/(-2) - -2). Suppose -3*f - 435 = -5*i - 452, 0 = 3*f - i - 49. Calculate the remainder when (-94)\/3*(-3)\/l is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309718966?\nAnswer: 2, 23, 59, 139, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 10:52 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111\/185 + (-437)\/(-5). Sort z, 2\/3, 0.5 in decreasing order.\nAnswer: z, 2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(308)\/(3*sqrt(7) + sqrt(7)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 5. Let l(t) be the first derivative of -2*t - 102 + 98 + t. Give -6*l(z) - u(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 168656 + -6?\nAnswer: 168650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = -4*x, -41*u + 2*x + 2 = -36*u. Let t(a) = a**3 - 9*a**2 - 8*a - 13. Let y be t(10). Calculate the highest common divisor of u and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*l**2*p**2 + 1410*l*p**3 + p**3 - 2813*p + 47 with respect to l.\nAnswer: 140*l*p**2 + 1410*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -13, 101.868 in decreasing order.\nAnswer: 101.868, 1, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141278*q**4 + 244487*q.\nAnswer: 1695336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -650*k - 17. Is u(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1092.3 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133145 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11465, -22239, -32319, -41705, -50397?\nAnswer: -58395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/(-516) - 8\/(-32) and 25\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9548 and 53196.\nAnswer: 372372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003296599093 to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**3 + 6*k**2 - 27*k + 82. Let d(s) = -s**3 - s**2 + 5*s - 1. Calculate 6*d(t) + v(t).\nAnswer: -t**3 + 3*t + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-735))\/(37\/((-4662)\/45))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 67851\/74 and 916 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232.5 + 233. Which is the second smallest value? (a) z (b) -2 (c) -8\/3 (d) 1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 717 = -2*k, 0 = 4*k - 6*y + 2*y - 1428. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (13 + -25 - -18 - 23)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/4)\/((-2)\/(-24)). Let y = 24 + q. Suppose -y*f - 2*f + 170 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20689 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*j + 660, 13*j - w = 9*j + 676. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 * 4.4.\nAnswer: 25.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -57*q - 1025. Let r be d(-18). Put 86, 4, r, -3 in descending order.\nAnswer: 86, 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 70.4. Let p = l - 7. What is the second biggest value in -5, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/5 (b) -8.55 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 2*v - 2. Let q be x(2). Let j = q + -12. Let t be j\/(-16) + (-4)\/16. Which is bigger: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -55, 2, -350, 4 in descending order.\nAnswer: 4, 2, -4, -55, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, 20, -2\/21, 3 in descending order.\nAnswer: 20, 15, 3, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/(-6)))\/(102\/17)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 4*p - 7168*p**4 + 3596*p**4 + 3580*p**4 - 4*p**3 in the form k*p**4 + s*p + c + y*p**2 + b*p**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -0.1. Let l = -14 + 7. Let u = l - -11. Which is the nearest to m? (a) 2 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -6.93?\nAnswer: -0.9702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24b + 3?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:32 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1211.4.\nAnswer: 6057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104213?\nAnswer: 7, 43, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8 and -5\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.755 * 340.1\nAnswer: 1617.1755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 3, 58, 4, 11, -3 in increasing order.\nAnswer: -13, -3, 2, 3, 4, 11, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -223\/5. Let t = 4.7 - 4.5. Sort -3, m, -2, t in increasing order.\nAnswer: -3, -2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -199.\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {u: 3, a: 1, v: 6, j: 4, l: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -55 - (-8 - -5). Suppose r = -2*j + 411. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:32 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-165)\/880\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45237503?\nAnswer: 1559, 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc + 5?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -3021310?\nAnswer: 3021312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f**3 - 3*f)*(145*f - 41*f - 11*f)*(3 - 3 + 2*f).\nAnswer: -372*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 10 = 5*q - 20 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10870 divided by -2\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*j + 4 = 2, -3 = -3*h + 3*j. Which is the nearest to 0.2? (a) 1\/6 (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, 1 s, and 1 h when four letters picked without replacement from {z: 3, h: 1, t: 4, i: 5, l: 3, s: 1}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -112, -254, -464, -748, -1112, -1562?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 12)*(-385*k**4 - 257*k**4 + 411*k**4).\nAnswer: 3465*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/5)\/((-6)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3551*q - 3550*q - 5 to the form r + h*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 13 (b) 2\/7 (c) 0.5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.379 and 0.02.\nAnswer: 0.30758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 6. Suppose -7*v + 13 = -22. Let i(w) = w - 1. Give v*i(p) - r(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 44. Suppose -178 = 50*j + 72. Let l = -6 + 8. What is the nearest to t in j, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -453397488.29 and 2?\nAnswer: 453397490.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 510 = -85*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-5136)\/(-168) - 17.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106354793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8488*a**3*z**3 - 7676*a**3 - 6*a*z**3 + 2*a - 5966582*z wrt a.\nAnswer: 50928*a*z**3 - 46056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**2 - 131*j**2 + 4*j + 5 - 149*j**2 - 9 + 5 wrt j.\nAnswer: -544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 3)*(6 + 2 - 3)*(2*t - 4*t + t) to p + m*t and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20. Let u = z + 3. Let s be 108\/(-45) + 1*u. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**4 - 3*h**4 - 4*h + 5*h - 2*h wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 23*m**2 - 90*m - 24. What is the smallest common multiple of 20 and z(17)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -2\/5, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*h**4 + 116*h**3 - 2*h + 664 wrt h.\nAnswer: 1776*h**2 + 696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*v**3 - 29*v**3 - 3 + 1 - v in the form a*v**2 + t*v + p + f*v**3 and give f.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03583879 and -0.8.\nAnswer: -0.028671032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134289\/3741 + -7*(-9)\/609.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4 (c) -1\/5 (d) -0.4 (e) -0.079\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2028, 2173, 2314, 2445, 2560, 2653?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -11776 and -11776 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -139067112.94 take away 37?\nAnswer: -139067149.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 14 - 7 - 4*d. Let z be g(6). Solve 4*w + 2*b - z = b, 0 = -w + 3*b + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -4161793.\nAnswer: 45779723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*c - o - 44, 2*o + 64 = -8*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4967\/3 - 1656. Let j = 0.7 + -0.2. Let d = -62 - -62. Which is the biggest value? (a) n (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 42 - 186. Suppose 3*p - 3 = -4*w, -69 + 87 = -3*w. What is the remainder when z is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*t = -5*t - 12, 0 = -5*t - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7015636 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -2, 35, 102, 205, 350, 543, 790?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392265659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 28412 - 5\nAnswer: 28407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48604989 + 1.04\nAnswer: 48604990.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (143 - (1 - 3))*8\/(-20). Let v = n - -62. Let w(s) = s**3 + 5*s**2 - 8*s - 8. Let b be w(-5). Calculate the highest common divisor of b and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/24 + q**5\/60 + 6*q**2. Let p be z(-1). Suppose -2 = -2*w - 3*f + 14, 0 = 2*f - 4. Which is greater: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5766 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: Suppose s = 5*s - 16. Suppose -3 = -s*z + 9. Solve 0*w - 6 = -z*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39554 + -5141989\/130. Calculate the common denominator of 133\/1560 and i.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - -10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -2.16. Let g = m + -2.5. What is the third smallest value in 0.2, g, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 16552.23ug?\nAnswer: 16552230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -42, -67, -92, -111, -118, -107, -72?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -19*j. Suppose 8*g - 16*g + 22384 = j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9399 + -5679. Let x = -18658\/5 + c. Let w = 217\/342 - 3\/38. What is the common denominator of w and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqrd when four letters picked without replacement from qrhuuuhuuhdqu?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38825, -10 in descending order.\nAnswer: 38825, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -43*s + 8. Let o(q) = -1547*q + 286. Let t(c) = -143*l(c) + 4*o(c). Let k(m) be the third derivative of -m**4\/24 - 27*m**2. Determine t(k(a)).\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 90 = 18*k. What is k rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26180, -26190, -26200, -26210, -26220?\nAnswer: -26230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -66*w + 2250. Give d(34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -59341232.\nAnswer: -59341232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alat when four letters picked without replacement from {t: 4, l: 1, a: 2, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 21. Suppose -p*s + 940 = -116. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2220213 + -10?\nAnswer: -2220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 95*s**2 + 101*s + 540. What is the remainder when 337 is divided by i(-96)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(2275\/(-7476)) + 4\/(-26). Suppose -51 = -4*r + 5*h, -3*r - 5*h + k = -0*h. What is the remainder when -1 - 0 - (-56)\/1 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + 11\/(-22). Let x be (2 - r)*2\/(-14). Let k = -921 - -13814\/15. Which is the third smallest value? (a) k (b) x (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113879888 and 29128.\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -3c7d?\nAnswer: 3c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61197880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**3\/3 - 10. Let c(k) = -k. Let w(b) = b. Let m(p) = -c(p) + w(p). Give m(x(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2050*m*o**2*u**2 + 3*m*o**2*u - 2*m*o - 4*m + 34*o + 16*u**2 wrt o.\nAnswer: 4100*m*u**2 + 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.299 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)*-6*7*-1. Suppose 5*k = -2*k + f. Let q be (0 + k)*(11\/3 - 3). Let x(r) = r**2 - 3*r + 3. Calculate x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 9*h**2 + 9*h + 11. List the prime factors of u(9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/20 - m**4\/6 - m**3\/3 + m. Is p(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r. Suppose 2*x - u + 70 = 4*u, r = 4*x + 2*u + 92. Let b = x - -37. Calculate the greatest common factor of b and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-11) - 7\/(-14)*3188 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*v = v + 8, 4*q - 2 = 3*v. Put 0, -4, q in descending order.\nAnswer: 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220385481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 1 + 6*v**2 - 6*v**2 + (-2*v**2 - 2*v**2 + 2*v**2)*(0 + 6*v + 0).\nAnswer: -13*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 40*z - 6*z = -80 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714 and 18.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/6, 83, 0.4, -3\/23, 5 in decreasing order.\nAnswer: 83, 6, 5, 0.4, 1\/6, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 826 + -841. Which is the fourth smallest value? (a) -3 (b) -2\/7 (c) -0.9 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = r, 0*t - 4 = -2*t. What is the second derivative of -r*v**4 + v + 12*v**4 - 8*v**4 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 16. Solve 5 = -x + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**2 - 2*o + 4. Let s be b(6). Suppose -116 + s = 4*d. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/22*-33*(-14)\/(-2352).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -589, -588, -587?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -260 + -2248?\nAnswer: -24a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - -1.74. Let q = -4 + 3.7. Sort q, g, -4 in increasing order.\nAnswer: -4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 0*q - 2*q - 2)*((-q + 0 + 0)*(-2*q + q - q) - q + q + 2*q**2 - q**2 + 2*q**2 + 0*q**2 + 2*q**2 + 23*q**2 - 3*q**2)*(3*q - 5*q + 3*q).\nAnswer: 81*q**4 - 54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpp when three letters picked without replacement from ccppmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1963*y - 2*y**2 - 3921*y + 1958*y + 584 to the form x*y + s*y**2 + w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36520742 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1859, 3519, 5357, 7463, 9927?\n\"Answer: 15*z**3 - z**2 + 1558*z + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 20 = 8*z, -10*z + 9*z - a = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -193*p**2 - 421*p - 55. What is the derivative of n(k) wrt k?\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (91*m**2 - 348*m**2 - 143*m**2)*(-21*m**2 - 7*m**2 + 26*m**2 - 393) as v + x*m**4 + n*m**2 + t*m**3 + c*m and give n.\nAnswer: 157200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/147 + h**6\/35 + 2*h**5\/105 + 5*h**2. Factor j(v).\nAnswer: 2*v**2*(v + 2)*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeveeevve. What is prob of sequence ev?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*a = -16, 2*c + 0*c = 4*a - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 779399990 to the power of 1\/3, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1510? (a) 8 (b) 2\/9 (c) -9 (d) -3 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/8*(-196)\/(-147)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 808 = 3*n - 7*n, n = 4*p - 216. Let c = n - -486. Let t(l) = -13*l. Let r be t(-2). Calculate the greatest common factor of r and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147731*x - 146558*x + 76 + 294290*x.\nAnswer: x + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32557.81nm in millimeters?\nAnswer: 0.03255781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:55 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1803 + 2371. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agn when three letters picked without replacement from {n: 4, g: 1, e: 1, y: 1, a: 6, d: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250777.\nAnswer: 250777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 - 9*w - 7. Let f be n(-4). Is (f - 16)\/(-3*2\/160) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32374105 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) + (sqrt(70) + 3*sqrt(70))*4)\/(sqrt(90) + (-5*sqrt(90) - sqrt(90)) + sqrt(90) + sqrt(10)) + -1)**2.\nAnswer: 136*sqrt(7)\/11 + 32489\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**4 - 746*g**3 + g**2 - 2*g + 407.\nAnswer: -96*g - 4476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 449543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -570*o - 450*o + 5 + 692*o to the form n*o + k and give n.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 - 2*i. Let m(t) = t**3 + t. Let f(z) = 2*m(z) + x(z). List the prime factors of f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351.93 rounded to the nearest ten?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 49681827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330056181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1601*k + 424. Is o(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 137*u**2 - 208*u - 81. Determine a(70).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/832 and 109\/52.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 29*f**2 - 11*f + 11. Let p(s) = 15*s**2 - 6*s + 6. Let x(g) = 6*o(g) - 11*p(g). Let l(u) = -u. Calculate l(x(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -884, -441, 2, 445, 888?\n\"Answer: 443*z - 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 8*i + 36, x - 3480*i - 17 = -3477*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by -4*(-1)\/(-1) + 35 + 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + ((sqrt(153) - (sqrt(153) + 1)) + sqrt(153))*-4 - ((sqrt(153) - 5*(-1 + sqrt(153))) + (sqrt(153) - sqrt(153)*1) + 2))**2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u + 2*u - 2*u**2 + 5*u**2 - 2*u**2 + (-u - u + u)*(2*u - u - 2*u) + 0*u**2 - 3*u**2 + 4*u**2 - u**2 + 0 + 0 + (2*u + 22 - 22)*(u + 3 - 3).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2. Let s(o) be the third derivative of -o**4\/3 + o**2. Calculate b(s(v)).\nAnswer: -384*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41961 + -3?\nAnswer: -41964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119350 or -119352?\nAnswer: -119350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*m + 19 - 3, 0 = 4*h - 4*m. Suppose 0*s + 20 = 4*s - 3*v, 0 = 5*s - 2*v - 25. Which is the biggest value? (a) h (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 7:45 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224139\/4 + 56036. Factor -x - m + 1\/4*x**2.\nAnswer: (x - 5)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 285*l - 23. Let c(u) = -4*u + 2. Give -2*b(y) - 22*c(y).\nAnswer: -482*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odooooooododod. What is prob of sequence dooo?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1244782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1. Let w be ((-4)\/(-14))\/((-20)\/(-70)). Let z(h) = 16 - 26 - h**2 + 15. Let p(v) = w*z(v) + 5*o(v). Let m(k) = 19*k**2. Give m(p(a)).\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + 358*q - 2*q**4 + 8*q**3 - 361*q + 2*q**3 + 1 in the form v + g*q**2 + a*q**3 + i*q**4 + n*q and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by 327820.\nAnswer: 129\/327820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42343273 divided by 569\nAnswer: -74417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(27) - (sqrt(27) - (-3*sqrt(27) + sqrt(27)))).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:22 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22.85, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 14. Let v = o + 58. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let g(o) = -7*o - 4. Calculate s(g(n)).\nAnswer: -49*n**2 - 56*n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 72 = -27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1820 >= 0.061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -d03 (base 15) in base 16?\nAnswer: -b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 2) + -1)\/7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 81. Suppose 4*j + 33 = 3*t, -t - 4 = -u*t - j. What is the smallest common multiple of 18 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/4 and 1836 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16414?\nAnswer: 2, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggqqsggggqsggggqsgg. What is prob of sequence sqs?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 900 + -2476\/3. Let n = 74 - s. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*t - t = -9, 0 = -d - 3*t - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 4, 2, -11.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616\/176*-6*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -54*w**2 + 3*w - 2. Let v(u) = 53*u**2 - 4*u + 2. Determine -4*k(p) - 3*v(p).\nAnswer: 57*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 6*r - 258, v - 57 = 19*r - 22*r. Let t be (6\/(-3))\/((-2)\/73). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*6\/72)\/(6*21\/7371).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -z, 5*f - 33 = z - 6. Sort -1, z, -3.\nAnswer: z, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26763?\nAnswer: 3, 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185, 181, 169, 143, 97, 25?\n\"Answer: -d**3 + 2*d**2 - 3*d + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1664265391 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4474 and -0.4.\nAnswer: -4474.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 11 - 25. Let p be u*3\/9*2. Let s(b) = -b**2 + 8*b - 9. Determine s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + l**2 - 3*l**4 + (l - l**3 - l)*(-2 + 2 + l + (-4 - 2 + 4)*(0*l + 0*l - l)).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 983*d**3 + 981*d**2 + 983*d - 982.\nAnswer: (d - 982)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/4 - 1\/4*l**3 - 27\/4*l + 9\/4*l**2.\nAnswer: -(l - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996 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: Convert -414 (base 8) to base 6.\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20616 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose v*i - 3*i = -g, i - 3 = 2*g. Let u(b) = -b + 1. Let j be u(-3). Sort i, 3, j in decreasing order.\nAnswer: j, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*1*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/638)\/((-124)\/14880). Do b and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71\/28 - 16\/7. Suppose -13 = -3*v + k, 5*k = -2 + 27. Let y be (1\/(-14))\/((-1)\/v). Which is the second biggest value? (a) y (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 1272 - 726 = 0. Suppose -k*c = -71*c - 81. What is the greatest common factor of c and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 54*t + 280.\nAnswer: -2*(t - 5)*(t + 140)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 3\/4, -0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20*357\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 6 = -14*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x**2 + 72*x + 20. Let j be s(-7). Let d(v) = -78*v**3 + 34*v**2 - 34. Let w(u) = -7*u**3 + 3*u**2 - 3. Give j*d(c) - 68*w(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12864 = 109*i + 241*i + 52*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/37, -6\/11, -13, -92?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 divided by 17?\nAnswer: -523\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*u - 45 = 0, 5*u = 4*c - 0*u - 95. Suppose -19 = -k + 4*n, -k - 5*n = k - c. What is the units digit of (-8)\/40 - (-2883)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9*w + 2 = -5*w, 8 = 4*g - 2*w. Let n be (-14)\/4*2\/(-1). Suppose h + g = n. Solve d - h*u = 2*d + 20, 2*d + u + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000427 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*x**4 - 5*x**2 + 3 - 5 - 8*x**2 as s*x**3 + i*x**2 + l*x**4 + m*x + f and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43700, 43738, 43800, 43886, 43996?\n\"Answer: 12*m**2 + 2*m + 43686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*x + 7*x + 1 = 0, 4*d - 3*x = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/26 and -55\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 108017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/15*4 + 360\/75. Put 2, 245, m in increasing order.\nAnswer: 2, m, 245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -48*y**3 - 30*y**2 + 11*y + 20. Let a(j) = -17*j**3 - 10*j**2 + 4*j + 7. Let u(v) = 17*a(v) - 6*p(v). Determine u(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a factor of 96760320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103151612*d**4 + d**2 - 18*d + 1604081?\nAnswer: 2475638688*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3764 and 10351.\nAnswer: 41404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347320?\nAnswer: 2, 5, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6895087*h - 15994339 wrt h.\nAnswer: 6895087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 0.7, 219732?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 3, 98\/103, -1, -5, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 99 = -62. Let v = m + -18. Suppose 5*i - 492 - 258 = -v*j, -3*j = -i - 458. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.862 + -0.5.\nAnswer: -1.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 2*m + 3. Determine a(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704270 (base 8) in base 12?\nAnswer: 305534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.937 + 0.063. Let b = -0.07 + 0.07. What is the nearest to 1\/4 in l, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.101 - -0.1010069. What is y rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(4*sqrt(1377)*-2 + sqrt(1377)))**2 - (-1*-2*(0 + sqrt(1700)))**2) + -4.\nAnswer: 1072764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, 44, 123, 202, 281, 360?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((81\/6)\/(-27))\/(64\/2688).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/14*(-952)\/544.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*q = 170 - 180, 2*l - 13*q - 92 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/20)\/((-16)\/(-80)))\/((-28)\/(-182))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150889 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 25305740.\nAnswer: 101222960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7 + 5 - 17 + 7 - c. Give u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 316*x - 3224. Calculate g(10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -118410 divided by -6\nAnswer: 19735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - v - 40 = v, v = -o + 10. Let p be 1\/(-3) + 35\/o. What is the third smallest value in -4\/5, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222338263 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73226*l*p*x + 4*l*p - 793*l + p wrt x?\nAnswer: 73226*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -10. Suppose 0 = -4*b - 3*u + 88, -2*b - 3*u = -u - 42. Let i = b - o. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 1. Let x(z) = z. Let k(h) = f(h) - 5*x(h). Let n be ((-5)\/(-4))\/(1\/(-4)). Let w be k(n). Let j(v) = -v**2 + 5*v - 6. Give j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 11*s - 8. Let c be t(10). Solve c*r + 9 = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - 0.8. Let x = 1 - r. Put 0.1, x, -2 in increasing order.\nAnswer: -2, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204951 a multiple of 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 22*v**2 - 513*v - 12206. Determine s(-23).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 38*u**2 + 3*u + 4. Calculate s(-2).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(272) + sqrt(272) - (-4 + sqrt(272)*-1).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - q**3 + 0*q**3 + (2*q + 3 - 3)*(4*q + q - 4*q)*(87 - 44 - 38 + 14*q).\nAnswer: 26*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2636 - 2637.899. Let l = -0.061 + w. Let b = -0.04 + l. What is the smallest value in 1\/5, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h + 5. Let q be b(5). Let i be ((-1)\/2)\/(1 - (-44)\/q). Suppose 36 = o + i*d, -5*o - 4*d + 160 - 1 = 0. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, s: 1, m: 8, x: 3}. Give prob of picking 1 x, 1 m, and 1 p.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -1\/6*f**4 + 1\/3*f**3 + 0 - 1\/2*f**2 + f - 1\/20*f**5. Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1040\/390 - 22\/8?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25b0 - -91419?\nAnswer: 93a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2. Let b(l) = -2*l + 4. Let c be b(-5). Suppose -v = -4*w - c, 0 = -5*v + 2*w + 15 + 1. What is the remainder when 38 is divided by k(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2480 = -513*p - 138*p + 66*p - 55130 for p.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3908193 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h + h. What is the units digit of 10\/(-8)*(h - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.55192 to two decimal places.\nAnswer: -3.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20726 is divided by 1294.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 5438.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*p**2*x**2 + 26*k**2*p*x**2 + 2*k**2*x - 2*k*p**2*x + k*p**2 + 3*k*p*x**2 - 4*p**2*x**2 wrt k?\nAnswer: -4*p**2*x**2 + 52*p*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 26*c**2 - 5*c - 1. Let m(x) = x**2 + x + 1. What is 3*m(a) + z(a)?\nAnswer: 29*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 61*t**3 + 2*t - 1. Let l be v(1). Let o = -17 + 5. Find the common denominator of 46\/11 and -1 + l\/o + 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30421592.\nAnswer: 2, 3802699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 578864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:02 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1.3, 0.3, -645, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85897*b - 85964*b - 335 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*z - 71. Let k = -19 + z. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104.6 - 114. Let u = 9.391 + h. What is u rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 67*d + 786. Determine i(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, j: 3}. Give prob of picking 2 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*k**5 + 230*k**2 wrt k?\nAnswer: 4800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8285, 8285, 8269, 8231, 8165?\nAnswer: 8065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) - (-2*sqrt(280) - sqrt(280) - sqrt(280))*-1)\/sqrt(10) - -4*(sqrt(175) - (-2 + sqrt(175))*4))**2.\nAnswer: -4224*sqrt(7) + 31516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = -u + 5*u, -2*x + 2*u = -2. Calculate the remainder when 10 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 4\/3*84\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-264))\/(204\/396)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80252239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-249*v**2 - 1 + 126*v**2 + 122*v**2 + 22*v)*(4 - 2 - 3) as i + z*v**2 + u*v and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + 142. Suppose l = 35 + c. Is 35 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 3. Let s be x(4). Let p(o) = -o + 1. Let b(i) = -i. Let d(c) = -2*b(c) - 3*p(c). Is 12 a factor of d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (0 + sqrt(891)))**2 + (sqrt(11) - (0 + (sqrt(11)*-1)**2)).\nAnswer: -11 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-2)\/84*2)\/(4\/238).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*j - 2025 - 2343. Calculate the remainder when 85 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - z**3 + z**3)*(21 + 18 - 25)*(-4 + 5 - 2).\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82173 and 43071.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -2454877\nAnswer: 12274385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159993 - -159996. Let t be 6\/(-21) - 31\/14. What is the second smallest value in t, n, 1, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, -3, 2, 1422, 235 in descending order.\nAnswer: 1422, 235, 5, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6177 + 6200. Solve -74 = -17*u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 11:38 AM?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 10, -3, -37 in decreasing order.\nAnswer: 10, 1, 0, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (4 - 63\/12))\/((-40)\/(-1120)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4602*x**3 + 17424562 - 4325*x - 17424562 wrt x?\nAnswer: 27612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 1. Suppose 4*p + 6 = p. Let o be c(p). Suppose -v - 3 + 0 = 0, 28 = o*z - v. Solve -2*a - a = z*g, 4*a = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 3\/2*o**2 - 1\/12*o**4 + 0 - 1\/2*o**3 - 2*o. What is x(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a factor of 7491318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - b + 2 - 10 = 0, -2*u = 2*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446993032 to the power of 1\/2, to the nearest integer?\nAnswer: 21142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173902839.407 - -60.\nAnswer: -173902779.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 10*m**2 + 20*m + 36. Let v be t(-8). Suppose -v*a = -o + 367199, -2*a + 0*o = 2*o + 183602. Round a to the nearest one thousand.\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 - -2.91. Let q = p + -2. Let t = -0.2 - 0.3. Which is the biggest value? (a) 2 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -3 - (-7 - (-6 - -1)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 23*m**2 - 20*m + 49. Let c be y(-22). Suppose -6*t = -c + 11. Let p(v) = 26*v**2 - 2*v - 3. What is the units digit of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -2\/3 (c) 2.1 (d) 2\/9711\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 14119*i - 56492. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-3 + -4 + 3 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*p*s**4 + 6*p*s**3 - 113*p*s - 2*s + 2 wrt s.\nAnswer: 816*p*s**2 + 36*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -20*u + 606. Let j be x(30). Solve -6*s = -3*d - 5*s + j, -5*s = 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 3070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshfocfrhfcfco. What is prob of picking 1 s and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c - 4. Let g be n(-3). Let x = g + -9. Suppose -497 = 4*b + f + 2699, -b - 808 = -x*f. Round b to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172107.\nAnswer: 3, 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:18 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + z + 1. Let d(p) = 4*p**2 - 4*p - 6. Let f(y) = -d(y) - 3*k(y). Let o(h) = -h + 5. Let a be o(7). Let c = a + 2. Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/50*-10)\/(8\/(-1)). What is the second smallest value in m, 2\/5, 2.53?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1782424344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 + 5*y**2 + 10*y - 11. What is q(4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/3 - 95*b**4\/6 + 6682*b**3 - 510289*b**2\/6 + 483086*b\/3 - 35046 = 0?\nAnswer: -118, 1\/4, 2, 11, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2.23, 1, 1033.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m**4 + 0*m + m**2 - 1\/40*m**5 + 0 - 1\/80*m**6 + 0*m**3. Factor d(s).\nAnswer: -3*s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 418 = -788. Let s = 437 + u. What are the prime factors of s?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 3835.\nAnswer: -3, 2, 3835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3941962336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + a - 8 = -3*l, 5*l + 2*a + 33 = 0. Let o = 11 + l. Suppose 1 + 0 = d. Solve -5*x = d + o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*r**4 - 3*j**2 + 147*j*r**4 + 24*j - 7*r wrt r?\nAnswer: 24*j**2*r**2 + 1764*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 5 + 7 - 4*t**2 - 6*t**3 + 3 - 1. What is the tens digit of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865502 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -685862*-3\nAnswer: 2057586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**5 + 0*t + 2*t**2 + 1\/15*t**6 + 0*t**4 + 4\/3*t**3 + 0. What is the first derivative of q(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04474434 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/65709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10909.182 minutes to hours.\nAnswer: 181.8197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118, -246, -470, -790, -1206, -1718?\n\"Answer: -48*i**2 + 16*i - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 172 = -3*c - 47, -4*c + 36 = 2*p. Suppose 2*b + 2*b + p = 0. Let f(m) = 2*m**2 + 9*m - 10. What is f(b)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**2. Let f(z) = z**2 + z. Let y(h) = -4*h**2 - 3*h. Suppose -2*m + 3 = -5*m. Let k(w) = m*y(w) - 3*f(w). Determine k(b(g)).\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/432*-3*(-3458)\/403 + 8\/(-18)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**33*g**(-8)*g**(-16)*g\/(g*g**27*g))**(-29\/3) assuming g is positive.\nAnswer: g**(551\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 39. Suppose 3*g - 3*l - 9 = 0, -l - 2 - 5 = -2*g. Suppose -i = -g*a + 45. Calculate the remainder when 40 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:25 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 2*z**3 - 3*z**3 + (-3*z**3 - 33*z + 33*z)*(0 - 4 + 1).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 14850000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + 3. Let m(p) = -6*p + 3. Let s(g) = g + 12. Let y be s(-6). Let f(q) = y*m(q) - 5*o(q). Determine f(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37\/302? (a) -2\/7 (b) 3 (c) -0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddaadddad. Give prob of sequence daa.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5183640 and 1440.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -42. Let y be d - (1 - 106\/42). Let x = 16\/21 + y. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 966358893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(((f\/(f\/(f*f**(-24)\/f*f)))\/f)\/f)*f)*f)**(-45)*f**(-26)\/((f*f**(-3\/16))\/f*f))**(-2\/19) assuming f is positive.\nAnswer: f**(-18291\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1533 - 2245. Let s = f - -694.05. Let p = s + 18. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -662\/29, 1\/2, 3, -3, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10 - 2\/4 and 25\/5 - (-20)\/(-18)*4.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.2. Let a = -18827 + 18822. Sort 60, -0.5, a, r.\nAnswer: a, -0.5, r, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + a - 4. Suppose 0 = 3*t - 4*t + 4*n - 10, -4*t = -3*n - 25. Suppose -q = 13 - 29. Let f = q - t. What is z(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h + 107. Give q(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = v + c - 3, -v = -2*c - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.60008 - 34.6. Round x to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/54)\/(-7 - (-132)\/18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 19. Let m(r) = -7*r - 2. Let w be m(-2). Suppose 0 = 4*a + 5*f - 24, 0 = -a - a - f + w. What is the remainder when t is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 6*l - 7. Calculate the lowest common multiple of j(-2) and (-4)\/14 + (37\/7 - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2931 times 0.211?\nAnswer: -0.0618441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttxtrprx. Give prob of picking 2 x and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295642687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*m**2 - 91 - 566336*m + 566336*m.\nAnswer: -199*m**2 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8730 + 23208 = 813*b - 24546 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 766*g**5*o**2 - 3*g**4*o**2 + 4*g + 15*o**2 - o wrt g.\nAnswer: 15320*g**3*o**2 - 36*g**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53909.71 centuries in months?\nAnswer: 64691652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*i**2 + 1 - 34*i**2 - 45*i**2)*(1 + 0 - 3) - 5*i**2 + 2*i**2 + 5*i**2.\nAnswer: 272*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -977 - -977.11. Do -104\/9 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose i*h = 7*h - 28. Solve -5*c + h = j, 0 = -3*j - c - 3*c - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3\/5 - 356*q**2\/5 - 43844*q\/5 + 790356 = 0.\nAnswer: -105, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/27*(162\/12)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 111*u**2 - 219*u + 128. Calculate q(-109).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 113579. Let x(h) = -3*h**2. Determine j(x(l)).\nAnswer: -3*l**2 - 113579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4, -3*q = 2*u + 1 + 4. Let p be (-2)\/(((-8)\/4)\/q) - 141. What is the units digit of (p\/(-4))\/(5\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/12 + l**3\/2 - l**2 - 4*l + 3. Let q(d) be the first derivative of w(d). Let q(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 12396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55865981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -14 + (-3 - (1 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (-8)\/5 + -380*41\/(-2050).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 6 + o**2 - 3 + 1 - 3. Let v be d(-4). Solve -l - v = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 609 - 590. Solve -g = -2*x + 5*m, -x + 17 = -0*x - 4*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 728*x**2 - 5106*x + 70.\nAnswer: 2*(x - 7)*(364*x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*o + 22153 + 22155 - 66458 + 22152.\nAnswer: -716*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 18. Suppose 3*m = -5*p - 12 + 8, 0 = 5*p + 5*m - 10. Determine t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**5\/4 - 7*v**2\/2 + 4*v + 1. Let h(u) be the first derivative of c(u). Differentiate h(m) with respect to m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let n be d(-6). Let x(a) = 1. Let s(c) = 2*c**2 + c - 11. Let m(j) = n*x(j) - 2*s(j). Let t(p) = 3*p**2 + 2*p - 3. Give 4*m(k) + 5*t(k).\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(72) + -2*sqrt(72) + sqrt(72) + 5) + 5)**2 + -1 + sqrt(98) + 0 + (-1*(2 + sqrt(98)))**2.\nAnswer: 35*sqrt(2) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 3, -42, 0.05?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 30. Let y(t) = 2*t**2 - 17*t - 30. Suppose -453 = -2*m - 431. Let g be y(m). Solve -5*n = -u*n + g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {j: 1, x: 1, i: 12}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1828, -2588, -3348, -4108?\n\"Answer: -760*g - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 16. Let h be l(-14). Sort 0, 5, h in descending order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 5*d + 0*d)*(-10 + 3*d + 10) + 532*d**2 + 239*d**2 + 198*d**2 to the form g + w*d**2 + i*d and give w.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzsttzsztszzttz. What is prob of sequence tzs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**(1\/7))**34 assuming u is positive.\nAnswer: u**(442\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Let o = 824 + -2474\/3. Which is greater: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114850392 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -254 + 391.05. Let u = -137 + k. Put -1, u, 2\/19 in decreasing order.\nAnswer: 2\/19, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 17*o + 9. Let c be a(11). Let w = 14 - c. What is the third derivative of w*d**4 - 95*d**4 + 2*d**2 - 101*d**4 wrt d?\nAnswer: -360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = -2*y, -2*o + 2*y = -0*o - 12. Suppose 0 = d - 5*k - 0*k + 9, -4*k - 28 = -3*d. Solve -o*x + d = -0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 20. Let w = -3 - -1. Is 10 a factor of (i - (-2)\/w) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6 - 1740*q**2 - q**3 - 8*q - 1730*q**2 + 3462*q**2. Give v(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.3. Let d = 0.099 - -0.201. What is the second smallest value in j, d, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 8*j**5\/5 + 168*j**4\/5 - 758*j**3\/5 + 1032*j**2\/5 - 90*j = 0?\nAnswer: -25, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let u = -2 + k. Let w be (-15)\/10 - 15\/u. Solve -m - 2 = -c, 3*c + 0*c = -2*m + w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*k + 199*k - 112*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b - 39*b**2 + 11*b - 7*b**2.\nAnswer: -46*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.031206 - 0.0307. What is n rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -2, -5 in descending order.\nAnswer: 9, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71318000 divided by 52750?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27812343 is divided by 865?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3571.\nAnswer: -4\/3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809563.\nAnswer: 809563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084697 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**3 - 19*f**2 - 17*f + 66. Let j(r) = 5*r**3 + 10*r**2 + 9*r - 35. Determine -11*j(k) - 6*x(k).\nAnswer: -k**3 + 4*k**2 + 3*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9914.\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*v + 6)*((1 + v - 1)*(-3*v**2 + v**2 + 4*v**2) + v**3 + 0*v**3 + 3*v**3 + (v + 5*v - 4*v)*(6*v - 8*v**2 - 6*v)).\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -20*n**3 + 7*n + 13. Let k(t) = -2*t - 12. Let m be k(-3). Let h be c(m). Let s = -188853\/44 + h. Calculate the common denominator of s and 27\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25275793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2073195 + 2073197. Let p(t) = -3*t**2 + 2*t**2 + 0*t**2 + 2. Let g be p(0). Solve -g*m = -a - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 20 = -5*f - 3*s, 0 = -4*s. Suppose a = -a + f. Suppose -3*n = a*n - 20. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/17 in -10, -2\/15, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2850040 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143580 and 215370?\nAnswer: 430740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 363, 2, -4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:49 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -3. Let m be (-2)\/(-2) - (r + 2). Suppose -57 = -4*i - 3*x + 29, m*i - x - 78 = 0. Calculate the smallest common multiple of 16 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/12 + 7*b**3\/2 + 14*b**2 + 15*b. Let n be j(13). Let k = 277 - n. What are the prime factors of k?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1007.372 kilograms?\nAnswer: 1007372000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*a - c, 5*a + 18 = -2*c - 14. Let g = a - -13. Suppose g*q - 440 + 40 = 0. What is q rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 159977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 24, 141, 3 in decreasing order.\nAnswer: 141, 24, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35981 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 39*c**7\/7 + 44*c**3\/3 + 40. Find the third derivative of z(s) wrt s.\nAnswer: 4680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(4\/7)\/q*q*q)*q**(-2\/15))**(-15) assuming q is positive.\nAnswer: q**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 522 = 3*y + 6*w, y - w = 166. Calculate the greatest common factor of y and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 - 13)*(0 + 0*a - 2 + a).\nAnswer: -18*a + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9702 + -9698. Solve -5*v + 2*n + k + 2 = 0, 0 = -n - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q = 4, 5*l - 5*q - 1560 = 0. Let p = l - 308. Solve -3*r - 2*y = -0*r - 22, 4*r + p*y - 26 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*u - 118, 4*y - 103 = 4*u - 11. Suppose -25*q + 1810 = 3*l - y*q, -2*q = 4. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 3*b**2 - 2*b + 6. Let i be d(2). Factor -3*r**3 + 11*r + i + 3*r + 10*r**2 + 5*r**3.\nAnswer: 2*(r + 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19137998 is divided by 911333.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2741 + 566*y**2 - 1360 - 1380 in the form d + q*y + k*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 4*v**4 + (-2*v**2 + v**2 - v**2)*(-5*v**2 - 13*v**2 - 5*v**2) + 63*v**4 - 674*v + 674*v.\nAnswer: 113*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.5, 5, -0.06, -16, -1.0439?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + g + 9 = -5*x, -5*x - 24 = 4*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 + 5*k - 5. Let z(d) be the first derivative of -d**4\/4 + 8*d**3\/3 - 7*d**2\/2 - 6*d - 6. Let i be z(7). Determine c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 11156979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - m. Let c be b(1). Suppose 4*r - 8 = -0*r. Suppose -c*j - 7 = -4*v - r*j, -3*j = -v - 12. Solve 5*l = 3*u - 15, l + 3*u - 4*u = -v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h + 7. Let s be z(0). Suppose -4*y + 9 = -s*y, -y = 5*d + 43. What is the lowest common multiple of 2 and (-9)\/(-4) - 6\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/28 - 3 - 2\/(-4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*a**2 - 5*a**2 - 16*a**2 - 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*h - 556*h - 32*h as v + o*h and give o.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 760002 = -2*x + 2*i, -3*i = 5*x - 1899997. Suppose 22*j = 26*j + x. What is j rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let w(j) be the second derivative of 283\/12*j**4 + 0*j**2 + 0*j**3 - 4 - 5*j. What is w(f(r))?\nAnswer: 1132*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(-r - 2*r + 4*r) + 4*r - r - 4*r + (2 + 1 - 2)*(-2*r - 4 + 4) + 26 - 26 - 25*r)*(1 - r**3 - 1).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44119?\nAnswer: 44119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1226.9 - -186.9. Let a = 1034.89 + t. Let r = 0.11 + a. What is the second smallest value in 4, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 127, 56, -15, -86, -157?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10057 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339 - 339. What is the fourth biggest value in 3, 26, i, 16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-2 + 0)) + (5 - 11) + (242 - 226)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 25. Let j = -12.000007 - r. Round j to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l + 2. Calculate s(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21283939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/8 - 10*r**3\/3 - 4*r**2. Let l = 736 + -729. Calculate the remainder when m(10) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 - 2*x - 378. Let m(s) = -s**3 + 5*s**2 - s - 1. Give -g(b) + 2*m(b).\nAnswer: -2*b**3 + 376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 21*w + 25. Let v be i(6). Let g(y) = y**3 - 6*y**2 - 2*y - 8. Calculate g(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/69 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 7*s**4\/8 - 1149*s**2. Let v(w) = 11*w**2 - w. Give v(d(t)).\nAnswer: 4851*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5)*r)**(1\/42)*(r**(4\/9))**(-1\/13) assuming r is positive.\nAnswer: r**(-173\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 53563 - 53563 - 3*k + 3*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 131, 213, 313, 437?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -21, 5, -7, 3 in ascending order.\nAnswer: -21, -7, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.57866 and -204?\nAnswer: 118.04664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21355.\nAnswer: 5, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = 0. Suppose o = -3*r + 6*r - 60. What is the highest common factor of r and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4 + (18 - 15 - 32)*(-2 - 2 + 5))*(-8*w + 29*w + 13 - 17 + 5).\nAnswer: -567*w - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -18 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeh when three letters picked without replacement from {h: 2, e: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 1.483624, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.73, 1\/4, -1, 0, 0.89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {g: 5, w: 2, u: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-4)\/16*2\/(-2*8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31879 * 18\nAnswer: -573822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2)\/sqrt(9) - (sqrt(143)\/(sqrt(11)*1) - sqrt(13)))*4 + (1 + sqrt(325) + 1 + (sqrt(325) + 0)*1)**2.\nAnswer: 32*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - -1*(2 + -2). Let u be (21\/6)\/(b\/4). Let d(o) = o**3 - 7*o**2 - o + 7. Let s be d(u). Are 2\/7 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (354\/4)\/(2\/4). Let r(k) = -18*k + 8. Let m be r(3). Let h = g - m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 133\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b - 19*b + 46*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61980 and 16?\nAnswer: 247920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*b = 20, -x + 8 = -0*b + b. Suppose 2*o - 40 = -3*o + 5*s, -5 = -x*o - 2*s. Solve o*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 14*s**3 - 8*s**3 + 24*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 - l + 1. Let m be u(-2). Let v = -1655 - -1653. Put v, m, 3, -4 in descending order.\nAnswer: 3, v, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -200112?\nAnswer: 200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*o = 36*o + 118776. Calculate the highest common divisor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -273845515\/7199 - -874660\/23. Let l = f - -2257577\/88266. Let h = l - -60\/47. What is the common denominator of 33\/10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 6. Let n(s) = 28*s - 60*s - 3 + 33*s + 14. What is -5*h(t) + 3*n(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*o - 32*o + 4. What is the remainder when 191 is divided by (o - -44 - -2)\/(11 + -10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 14*f**2 - 59*f - 5. Give s(-12).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**4 + 81*o**2 + o**3 - 151*o**2 - 14*o**4 in the form q + d*o**2 + c*o + w*o**4 + y*o**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 15 in descending order.\nAnswer: 15, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 20. Let t = -66.69 - p. What is t rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -46*m**3 + 2*m**2 + 2*m + 1. Suppose -1 = 3*v + 2. Is f(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19225632 and 2538?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -1\/4 (c) -1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 986*f - 52472. Calculate v(-56).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6*i = -3815. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-4)\/(-18) - (-40)\/30. Find the third derivative of 10 - 10 + 19*g**s - 38*g**5 + 13*g**5 wrt g.\nAnswer: -1500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579870 divided by 5?\nAnswer: -715974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 189*l**2 - 216*l + 3472. What is n(48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + z = -25*f - 16, 0 = 4*f + 10*z + 46 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - j - 7 + 2 = 0, 0 = 3*r - 2*j - 10. Let v be 4*((-28)\/(-24) + -1). Which is the smallest value? (a) -0.07 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 11) to base 5\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 12. Suppose -5*p = -p - 2*x, 4*p + 5*x = 0. Suppose -5*c - t + 24 = p, 5*c - 2*c = 5*t + 20. List the prime factors of z(c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*h + 31, 2*d - 3*h - 1 - 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(9\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) - (-22)\/5. Suppose s*p + 5*l - 2*l = 186, l - 190 = -4*p. Let g = p + 110. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 77, 0.9 in increasing order.\nAnswer: -0.2, 0.9, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/735 and 95\/3315246?\nAnswer: 812235270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.97995 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213 + 0?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-2)\/sqrt(4)*4)\/(-2*(sqrt(200)*1 + sqrt(200)) - sqrt(200)).\nAnswer: 4*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzjrbjrbbeibibjbbjj. What is prob of picking 1 e and 1 b?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 68 - 1416 = 1440*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013 = 72*t + 77 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/3, -2\/15, 2, -179, 5\/4 in increasing order.\nAnswer: -179, -2\/15, 1\/3, 5\/4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -8 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6862.3893 milliseconds?\nAnswer: 0.00190621925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 4553125.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*x + 7920 + 920. Calculate the remainder when x is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -27 - 453. Let y = k - -144. Let p be 2\/(-6) + y\/36. Is 0.8 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 685, -946.2, 2?\nAnswer: 685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 26*o**2 - 168*o + 3. Let i(t) = 600*t**2 - 3865*t + 70. Let c(h) = 3*i(h) - 70*l(h). Factor c(v).\nAnswer: -5*v*(4*v - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 - (-8 + (33 - 27)) - -3 - -26.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.2 (c) 69 (d) -0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47373, -47369, -47365, -47361, -47357, -47353?\nAnswer: -47349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.019 + 0.048. Let h = -0.001 - s. Let r = 11 - 16. What is the nearest to -2\/5 in 2\/5, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -5, -1 in increasing order.\nAnswer: -5, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1162914 = 31*v + 70*v. What are the prime factors of v?\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/143364817?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62613547 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:03 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.184 + 0.816. Let s = 3.9 - -0.1. Which is the smallest value? (a) 8 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*s + 39 = -2*s, -6 = 2*s. Calculate the highest common divisor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14662.45 rounded to the nearest one hundred?\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -32402?\nAnswer: 32403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-10 - -1) - 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 20*l + 4 = 0. Suppose l*d + 7 = 11*d. Suppose 5*x = x. Sort x, d, 7 in ascending order.\nAnswer: x, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16444284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799 divided by 49.\nAnswer: -799\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 125.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be5910 - -4?\nAnswer: -be590c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/25? (a) -2\/9 (b) 3\/8 (c) 14 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**2 - 7*p**2 + 0 - 10 - 2*p**2 wrt p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekpdek. Give prob of sequence dp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14118*d + 296494. Calculate a(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29.5*0.03\nAnswer: -0.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-198)\/4) - 16*(-1295)\/109483?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4897540741 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**8\/20160 + 17*s**5\/60 - s**3\/3 + 96*s**2. Let x(h) be the third derivative of m(h). Let c(a) = 13*a - 1. Give c(x(q)).\nAnswer: -13*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 14*u**2 + 21*u - 7. Let j be z(-13). Let n = 139 + j. What is the greatest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1906 and 82455466.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*y**2 + 6*y**2 + 6*y**2 + (-2*y**2 - 3*y**2 + 0*y**2)*(2 - 2 + 2))*(-6 + 3 + 1) + (-2*y + 4 - 2 - 3)*(2*y + 3 - 3).\nAnswer: 30*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 2, 1 in descending order.\nAnswer: 2, 1, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6650 (base 12) to base 16.\nAnswer: 2c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.12475 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.8 + 2.2. Let u = m - -3. Let o = u - 0.399997. What is o rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let p be j(-2). Let t be (-4 + p)\/((-3)\/3). Suppose 0 = o + 3*o. Solve o = -t*r + 7*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5244 - -5355. What is the second smallest value in 7, j, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1263\/2, -4, -0.126, -4\/3, 45?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6420306579 + -263449.6411306579. Let q = -263435 - t. Let n = q - 14. Round n to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = -365. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644253370.\nAnswer: 2, 5, 64425337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8771 + -8252. Does h = 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i + 4. Let x be v(0). Find the second derivative of -6*a - 7*a**3 + x*a**3 - 4*a**3 + a wrt a.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199904 is divided by 3175?\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 44, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10632 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**3\/6 + 3638*l. Let r(v) = 106*v. Give r(c(t)).\nAnswer: -106*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2808 = -12*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 16 - (-2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (2 - (2 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*f - 2*f - 67, o - 195 = -3*f. What is the remainder when f is divided by (-6)\/(-4)*(-50)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -14, -0.648?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*f - 20 - 102, 0 = 2*v + 3*f - 240. What are the prime factors of v?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -11. Suppose g*o = 9*o + 1437. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44194792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifths of a litre in millilitres?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 3*f**2 - 5*f + 5. Let u(g) = 4*g**3 - 3*g**2 - 6*g + 6. Determine 6*h(i) - 5*u(i).\nAnswer: -2*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*t - 65*t + 8 = 2*j + 73*t + 48, -5*j - 4*t = 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s + 2. Let z be r(0). Let a(t) = 7*t - 4. Let i be a(z). Suppose 0 = -i*j + 14*j - 228. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - 8682.25673839.\nAnswer: -8618.25673839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9645, 19106, 28571, 38040?\nAnswer: 47513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2308200 divided by -5\nAnswer: 461640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 times -38\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, -12, -5 in decreasing order.\nAnswer: 4, 1, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9608529, -19217050, -28825569, -38434086, -48042601?\nAnswer: -57651114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6287\/53 + 347135\/742. Let d = y + 13049\/28. Let q = -22937\/28 + d. What is the common denominator of q and 19\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 - 40. Suppose 0 = -2*d + 2*k - 7*k + c, 0 = 3*k - 6. Suppose -4*m + d = -0*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(y + 24365 - 24365)*((-2*y - 3*y + 3*y)*(1 - 1 + 2) + (-4 - 2 + 5)*(-y + 4 - 4) - y + 0*y + 2*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -17*c - 1092. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -383, -1046, -1959, -3122, -4535, -6198?\n\"Answer: -125*g**2 - 288*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 43. Is d\/(4 + -8) + 160 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 - 76 = 6*t. Let v = t - 11. Suppose d = 5*m + 14 + 3, -4*m - v = -d. What is the greatest common factor of 96 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 + 12?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 64820365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 351*f + 351*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 - 93*c - 266. Give v(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 0, 3, -9.732?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**2 + 12*h**2 + h - h. Let u(j) be the first derivative of -21*j**2\/2 - 14. Give y(u(f)).\nAnswer: 882*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -59*m**8\/168 + 19*m**4\/24 + m**3\/6 + 77*m**2. Find the second derivative of a(r) wrt r.\nAnswer: -2360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1539) - (sqrt(2736)*-1)**2.\nAnswer: -2736 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 8147?\nAnswer: -8146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/1582 - -3151\/20566. Let m = -26 + 48. Put f, 2, m in increasing order.\nAnswer: f, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7592 - 4?\nAnswer: -7596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*k - 111. Let h = 47 + k. Solve 2*j = j - h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10316, 10318, 10320, 10322, 10324?\nAnswer: 10326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -83062 (base 10) to base 11\nAnswer: -57451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (-328)\/40 - 1. Let h be ((-4)\/10)\/((-1)\/(-5)). Suppose 3 - 18 = 3*i. What is the nearest to f in i, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 take away 229390.7?\nAnswer: -229632.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**3 + 6*q**2 - 99*q - 26. List the prime factors of y(13).\nAnswer: 13, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**8)*g**(6\/7)*g**(-4)\/g**1)\/((g*g*g\/g**2*g*g)**25\/(g**(-6)*g*g**(1\/2))) assuming g is positive.\nAnswer: g**(-1059\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 167.3 and 217452668.\nAnswer: 217452835.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.577547 kilograms?\nAnswer: 0.008577547","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 75.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 15*l**4 + 6*l**4 - 3*l**3 + 1 + 5*l in the form f*l**4 + h*l**3 + b*l + g + k*l**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 4*t = f + 8, 10*f - 52 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + 48\/(-9). Let n(l) = -l - 9. Let f(h) = -h - 10. Let d(u) = 3*f(u) - 4*n(u). Let k be d(y). Solve -2*a = -s + 9, -4*a + 4*s - 20 = -k*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2414 + -2413.8531. Round s to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.151\nAnswer: 1.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -5*p, -p - 4 = -3*p + y. Suppose 2*j - 3*m - 3 = p, 0*j + 5*m = j + 2. Solve j*o = -3*w + 10 + 2, -w + 6 = 3*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x**5\/8 + 219*x**4\/8 - 395*x**3\/4 + 265*x**2\/2 - 51*x - 8 = 0. Calculate x.\nAnswer: -2\/17, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*a**3*x**3 + 2*a**2*x**2 + 29*a*x - x**3 wrt a?\nAnswer: -342*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 124756167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531 + 2950.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.059 - -0.081. Is r > -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:09 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2571)\/(-857))\/((-1)\/68*3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 7. Let k = w + 4. Let t(n) = 4*n**2 - 2*n - 2. What is the remainder when t(k) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3521 (base 7) to base 13\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeeqeeb?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 - 1) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61*97 - (-96)\/(32 - 16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 389878?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2137 - 2185.95. Let t = -33.4 - n. Let z = t + -15. Round z to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10459213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(4\/5)\/c)\/c))**(3\/19)\/(c**(-3\/5)\/c*c*c**16*c) assuming c is positive.\nAnswer: c**(-305\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/11? (a) -13.2 (b) -3 (c) -1.5 (d) 11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 138. Let l(m) = 1. Give c(y) - 6*l(y).\nAnswer: -y**2 - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 30. Let a = -25 - j. Is 1\/3 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586854 = -41*p + 585788 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5110788, -5110785, -5110782?\nAnswer: -5110779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2997312 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -32*l**2 + 2186*l - 165. Give f(68).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16007783 is divided by 1316?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3388) - (sqrt(3388) + (sqrt(3388) - (2*2*sqrt(3388) + sqrt(3388)))**2).\nAnswer: -54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w - 28. Let r = -2 - w. Suppose -r*m + 0*m = 1400000. Round m to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, u: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from rvrrrvrvrv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**3 + 10*x**2 + 13*x + 59. What is the thousands digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1. Let n(j) = 25*j - 2. Calculate -5*b(w) - n(w).\nAnswer: -25*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 358 - 620. Let j = -169 - i. Suppose -6*c - 15 = -j. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 2\/5 in decreasing order.\nAnswer: 4, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a4 (base 16) in base 14?\nAnswer: -31d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659 is divided by 254.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 + 950 = -95*w - 103 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:49 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u**2 - 14*u - 6*u**2 - 4*u**2)*(4*u - 3*u + 1 + 0*u) to the form r*u**2 + l + h*u + i*u**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 77. Which is the biggest value? (a) 1\/9 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -2143.742?\nAnswer: 2143.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1530 divided by -4.\nAnswer: 765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 1319468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 1. Let m(n) = -3*n. Let l be m(-1). Suppose o + l*o + 4 = 0. Let x be s(o). Solve x = -u - 3*u - 12, 17 = q - 5*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -4. Let g = f - -1. Let s = 14 - g. Solve n - 2 = 4*n + o, -3*n - 26 = -s*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 610 and 154935.\nAnswer: 18902070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2336 and -53\/2920.\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 9*b + 20. Let j(y) = 5*y**2 - y. Calculate the remainder when z(7) is divided by j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-6) - -1 - -4. Suppose -l - b*n = -229, -4*l - 936 = -8*l - 4*n. What is the remainder when l is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*n + 419*n**2 - 210*n**2 - 209*n**2 + 95*n**5 wrt n.\nAnswer: 1900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k**2 - 46*k - 133. Let m(o) = -15*o**2 - 45*o - 135. Let l(r) = -12*m(r) + 13*p(r). Calculate l(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/9*6\/(-4). Suppose 2*m - l - 20 = 0. Calculate the greatest common divisor of 70 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m. Let p(k) = -197*k**2. What is p(l(f))?\nAnswer: -1773*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6373 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15955*w = -15958*w - 132 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + r**3 - r**4)*(-2 + 6 - 3).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -25*c**3 + 4*c**2 - 2*c - 77. Find the second derivative of d(u) wrt u.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 61*f - 31. Let k be g(21). Let p(w) = -5*w - 1. Let v(c) = -14*c - 3. Calculate k*p(t) - 4*v(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k**2 + 6*k + 2. Let f be ((-6)\/4)\/((-12)\/8). Suppose -f = -4*c + 23. Give y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(15\/(90\/42)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00999956 + 0.01. What is z rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159.462 rounded to the nearest 10?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 5. Let y(m) be the first derivative of -5*m**2\/2 - 11*m + 236. What is 9*r(q) + 4*y(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*x**2 + 7*x**2 + 62*x**2 - 8*x**2.\nAnswer: 121*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111872661 and 543.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:56 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -46. Solve 15 = -3*t - 5*a, -2*t + r*a - a + 9 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 5. Let a(i) = -3*i - 5. Let y(g) = -a(g) - 5*m(g). Determine y(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.64 - -131.54. Let q = -111 + x. What is q rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 5:00 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 + 0 + 30*w**3 - 4 + 27*w wrt w?\nAnswer: 180*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 54*b**2 - 4. Let m(j) = -655*j**2 + 1170*j**2 - 516*j**2. What is w(m(o))?\nAnswer: 54*o**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 76. Does 8 divide 4*d\/(-18) - (-2345)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58195.3 millilitres to litres.\nAnswer: 58.1953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 1. Let p be (15\/6 - 2)*0. Suppose -4*z + p = 8. Let r = z + 3. Determine s(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -26 (c) -1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 6. What is i in -2 - i + i**d - i + 3*i = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 5. Let j be i(-2). Let b(y) = 8*y**2 - 4*y + 4. Let x be b(j). Suppose 69 = x*q - 61*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3 + 2*(-3)\/6. Suppose -170 = -2*l + 5*o, -2*l + 0*o - c*o = -154. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/2 + 18259*k\/2 - 9129 = 0.\nAnswer: 1, 18258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v - 28. Give h(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/4 + b**2 + b + 6. What is a(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - x**4\/4 - 8*x**3\/3 + 4*x**2 - 3*x. Let o = 142 + -136. What is the remainder when f(o) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*t**2 + 2*t**3 - 7*t - 17*t**2 - 21*t**2 - 2*t**4 + 0*t**3 - 11*t**2 - 1 in the form b*t**3 + r + w*t + i*t**2 + o*t**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -974 and -1233149.\nAnswer: -1234123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22338 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 14 - 26 + 8*r)*(-r**2 - r**2 + 4*r**2).\nAnswer: 16*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51 + (-4 - -4)\/(-6) + 0. Solve -56*l - 25 = -r*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-8)*3\/(-45)*6*(-12)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2441 = 26*a - 185. Suppose 2*y - 6*y + 12 = 0, -96 = 4*o - 4*y. Let i = a + o. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 337223668 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, e: 5}. What is prob of picking 4 u?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98 - 5?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*r - 28, r - 27 = -5*k - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*o**3 + 2*h**3*o**2*r**3 + 18*h**3*o**2*r + h**3*o*r + 1818*h**2*o**3*r**2 - 2*h**2*o*r**2 + 6865759*h*o**3*r**3 - r**2 wrt r.\nAnswer: 12*h**3*o**2 + 41194554*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -2*s, 4*s = -6*b + b + 18. Suppose 0 = 5*z - 5*o - 75, z - 6*z + 72 = -s*o. What is the least common multiple of 50 and z?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 104*d**2\/5 - 2558*d\/5 - 532.\nAnswer: 2*(d - 19)*(d + 1)*(d + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.06, -1, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-29))\/((-44)\/(-8)). Let w = 1601\/957 - f. Let l = -371 + 367. Which is the second biggest value? (a) 0.1 (b) 0.4 (c) w (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 7*v - 3. Let x be c(-7). Let t be (-1)\/(-4) + x\/(-40). Solve -t*f - f = -15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1497 divided by -4.\nAnswer: -1497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 495*j - 19 = -494*j, 7 = -c - j for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3830756778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-5)\/(-1))\/((-4)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 21 = 0, 27*l + 1952 = 30*l - 4*r. Calculate the least common multiple of l and 64.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-62)*(-125)\/(-200). Let i = x + 269\/6324. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 6*g**3 + 4*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -6121586 (c) -0.073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(((g\/(g*g*g**(2\/7)))\/g*g)\/g))\/g*g**(-4\/5)*(g\/(g**(1\/4)*g))\/g**(-2)*g**(2\/5)*g**3\/g*(g*g**1)**(-6\/13) assuming g is positive.\nAnswer: g**(12217\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 74 - 1202*u - 337 - 320*u.\nAnswer: -1522*u - 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5\/3 - 7439570*m**4\/3 - 74396140*m**3\/3 - 29758600*m**2 + 178550880*m = 0. What is m?\nAnswer: -6, 0, 2, 1487924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67635176 a multiple of 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 8 = 3*s - 10, 14 = -2*d + 3*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 - (-51)\/(-78). Let r = 0.05 + 3.95. Let m = -8 + r. What is the third smallest value in 2, m, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8181967*q**5 - 9866685*q**2 wrt q?\nAnswer: 490918020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is the tens digit of 4141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/z)\/z*z**(-1\/8))\/(z*z**(4\/7)\/z*z*z**(-4)) assuming z is positive.\nAnswer: z**(163\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*q + 66*q + 107*q + 105*q - 614*q + 121*q + 108*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11, -14, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 15?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let a = 1.833 - 1.773. Is a at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -12.4. Let a = y + 1.4. Let h = 0 - a. What is the closest to 5 in 0.1, h, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*(-6)\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 8*d + 11. Let r be o(-9). Suppose -4*v + 116 = r*m - 2*v, 2*m + 5*v - 125 = 0. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32010917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5887386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (155\/(-2))\/5 - (-9)\/(-3).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d09bb9 - 24?\nAnswer: 3d09b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20065651 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 642988 or 642987?\nAnswer: 642987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1513017 and 101\/6732?\nAnswer: 6052068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0 + 1\/45*f**5 - 12*f**2 + 0*f + 1\/180*f**6 + 0*f**4 + 0*f**3 - 1\/315*f**7. Determine g so that k(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 3541 in increasing order.\nAnswer: -1, 3, 3541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13751, 13754, 13757, 13760, 13763?\nAnswer: 13766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -77*c**3 + 2*c**2 + 410*c + 408. What is w(-1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.48 - -1.4799957. What is f rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1402, -1396, -1378, -1342, -1282?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.129 times -7\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1) + 0\/1. Let r(j) = -j**3 + 2*j**2 + 2*j - 1. Let h be r(v). Solve 8 = -2*o - x, -13 = 5*x - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313\/3 - 104. Let s(c) be the second derivative of -c**2 + 0 + l*c**3 - 1\/12*c**4 - 8*c. What is s(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-3 + 15)\/4. Let d be (-126)\/v - (-1)\/(-2). Let y = -18 + d. Which is smaller: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2629.19 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/((-2)\/(-9)). Let y = 434 - 834. Let p = y + 398. Let k(m) = 3*m**2 + 2*m - 2. Let o(a) = 4*a**2 + 3*a - 3. Determine p*o(s) + v*k(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 20*t + 48. Let d be r(17). Let k = 14 - 9. What is the smallest common multiple of 11*(-3)\/9*d and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - 163?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1229 + 124 - -2*-4*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48544289 to the power of 1\/2, to the nearest integer?\nAnswer: 6967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*d - 31. Suppose 2*x = 4*z + d, 6*z - 4*z = 6. List the prime factors of (6\/x)\/(2\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 29*v + 187449. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -0.08, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/12*4*-2. Let b be (-4 - -2)\/((-20)\/f). Let r = b - -44\/15. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 28970 and -68 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 8*t = -5*d - 15283, 4*t = 5*d + 60997. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 6*f**2 - 21\/20*f**5 + 16 - 3*f**4 + 3*f + 3\/4*f**3. Solve w(r) = 0 for r.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.0383225.\nAnswer: 0.0076645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 386842977.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (202\/(-3030))\/((0 - 2)\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, h: 15}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -0.8. Sort h, -5, -3 in decreasing order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500) + -1 + -5 + sqrt(4500) + -1 + -5)**2 + (0 + -4*(sqrt(1620) + 1))**2.\nAnswer: -864*sqrt(5) + 44080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/21188980 and -21\/6278.\nAnswer: 911126140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*r = -n + 25, 5*r = 3*n + 119. Let a = n - -64. Suppose d - a - 37 = 0. Is d a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1303546200, -1303546201, -1303546202?\n\"Answer: -c - 1303546199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -1941?\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15825 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (35 + 0 + 154 + -152)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 6*f**2 + 9*f**2)*(4 - 3 - 3)*(-3 + 4 - 7).\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:37 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8401045796 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 22232 + 22232.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164372*o**6 + 30764*o**2 + o?\nAnswer: 19724640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 9 - 0. Suppose 5*o + 7 + h = 0. Let b(m) = -2*m**3 + 2*m + 2. Is b(o) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 4*z + 5. Let t be j(-4). What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231.14 + 234. Let w = 3.3 - a. Let m = 0.461 - w. What is m rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y + 48*y = 0. Suppose y = 4*v + 5*z - 480 - 122, 2*z = 2*v - 310. Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399096 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169 - -168. What are the prime factors of (0 - -347) + d + 1 + 2?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j - 9135 = -322*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-16)*-2586*4. Let m be z\/15*30\/12. Let c = m + -60. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -3*y**4\/2 + 37*y**3\/3 - 22. Find the third derivative of c(j) wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 70. Let h be u(2). What is the greatest common factor of 56 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 6. Let l(c) = -3*c + 23. Let d(t) = t - 1. Let j(g) = 6*d(g) + l(g). Give -6*j(y) - 17*s(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 8:06 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -6284.\nAnswer: -6284.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.1 - 38. Let d = -1.5 + 0.5. Sort d, -1\/7, l.\nAnswer: d, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-27\/4)*b)\/(b*b*b**(-28)\/b))\/(b*b**(-9)*(b\/(b\/b**(19\/3)))\/b) assuming b is positive.\nAnswer: b**(299\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4650 and 558?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 188855 + 329769 = 0. Let f = -80656 + y. What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*m*v**2 + 7404098*m - 30*v**2 + 56*v wrt v?\nAnswer: -44*m*v - 60*v + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u + 6, 3*i = u + 155. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 0. Let a(i) = 3*i - 13. Let v be a(g). Find the second derivative of -31*m + m**2 + 833*m**v - 845*m**5 - m**2 wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 6. Let g be a(8). Find the second derivative of 3*c**2 + 196*c + 13*c**g + 8*c**2 + 25*c**2 + 12*c**2 wrt c.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 447 + 2?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11552 + -8578. What are the prime factors of r?\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1220.1 + 1220. Suppose -3*x + 0*x - 45 = 0. Let f be 2 - (48\/x)\/(-2). Which is the closest to d? (a) -2 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.8546 to one decimal place.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 15 = 15*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 219\/36965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + -1 + -2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -6)*(40\/3)\/2. Let s = -82 - -160. Let b = s + -68. What is the highest common divisor of b and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6956713 divided by 4.\nAnswer: 6956713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85.7 + 85.9. What is the biggest value in l, 0.3, -40?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugtt when four letters picked without replacement from uugguuggtggggguuguug.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) + 20\/24. What is the remainder when (-3 + -1)*f - -141 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssrs when four letters picked without replacement from rxsrssrs.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(3 - (-7)\/(-3)). Let b be 6\/(-21) + d\/56. Suppose t = -3*t + 8, 0 = -5*o + 3*t - 11. What is the biggest value in o, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72504, -74039, -78216, -86355, -99776, -119799, -147744, -184931?\n\"Answer: -220*l**3 - l**2 + 8*l - 72291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.314003*0.04\nAnswer: -0.01256012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - h = -15*h + 558 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 17*y + 18. Let c(x) = y*x**2 + x**2 - 3*x**2 - 3*x**2. Let f(d) = -10*d**2. Calculate c(f(q)).\nAnswer: 100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 205, 33 in increasing order.\nAnswer: -4, 3, 33, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -4, -790 in ascending order.\nAnswer: -790, -4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (642\/(-535))\/(4\/34)*-5*1\/3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 418, 1382, 3258, 6352, 10970, 17418?\n\"Answer: 51*p**3 - 3*p**2 + 10*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642*p**2 - 250*p**2 + 1771*p**2 - 799*p**2.\nAnswer: 2364*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.05, 2\/61 in decreasing order.\nAnswer: 2\/61, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 90 = -6*i + 2*i, -4*i + p + 102 = 0. Solve 4*v = -2*x - 20, -5*v - i = -9*x + 12*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 - -7) - -19 - 9) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 2*f**5\/5 - 3*f**4 + 52*f - 56. Differentiate h(k) with respect to k.\nAnswer: 8*k**3 - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7961, -7934, -7885, -7808, -7697, -7546?\n\"Answer: o**3 + 5*o**2 + 5*o - 7972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2 + 16*u - 7. Let y be o(-6). Let p = 87 + y. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*y + 7 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -3, -5 in ascending order.\nAnswer: -5, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 34067?\nAnswer: -34063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**1\/l))\/(l*l**(-1\/17)*l))**(-2\/13)*(l\/l**3*l*l\/l**(-6\/7))**38 assuming l is positive.\nAnswer: l**(50374\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*18\/(-12)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 97721465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*k + 158 = 5*v, -v - 4*k = -33. Let a(x) = -3 - 15*x + 2 + v*x. Let w(s) = s**2. What is w(a(m))?\nAnswer: 676*m**2 - 52*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -293679724 less than -0.2?\nAnswer: 293679723.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439 = u + x, 5*u = 6*x - 9*x + 7193. List the prime factors of u.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**3 + 3*y + 6. Let q = -4 + 0. Let o = 9 + q. Let v(w) = w**3 + w + 1. Calculate o*v(g) - m(g).\nAnswer: -g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100110111110110100 + 101?\nAnswer: -1101100110111110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 7) + 5 - (0 + -8). Let l(j) be the first derivative of 0*j**r + 2\/5*j**5 + 0*j + 1\/2*j**4 + 0*j**2 - 4. Factor l(f).\nAnswer: 2*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 21*r**2 + 11*r - 3. Is i(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*g + 3343 = -1239 - 2465 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435908.8 millennia to centuries.\nAnswer: 4359088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - -379. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290078026 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/60*2\/56. Let a(v) be the third derivative of 0 + 0*v**3 + 0*v - v**2 + 0*v**4 + 1\/60*v**5 - n*v**6. What is the third derivative of a(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:17 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z + 104. Let v be f(-5). Suppose -4*j + 111 = -o - 48, 179 = v*j + 3*o. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 - -178. Suppose l + 1 = -4, -s - k*l + 495 = 0. Does 37 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2656 + 0?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 7*k - 1. Let y be v(7). Let r be (-68)\/(-32) - (-1)\/(-8). Let j(h) = -h**2 + 5*h**3 + 2*h**r - 154*h + 155*h. Determine j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -0 - 12, 5*j = -2*b + 4539. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a**2 + 175*a**2 + 0*a - 354*a**2 + 0*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -4. Solve 2*m - 1 = 4*m - r*k, m = 2*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 12. Let s be (b\/(-2))\/5*-2. Suppose -s*d - 5*w + 5 = 0, -2*w - 6 = w. Solve -d*k - 2 = -4*i - 18, -3*k + 11 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose x = -2*x + 12. Solve x = 2*i - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*y - 28, 5*y = 6*m - 4*m + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)*-2 - -8. What is the tens digit of (3 - 12)*(-8)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s**2 - s. Let z be l(2). Let k be (-12166)\/3792 + 10\/3. Let g = 0.3 + -0.2. Which is the nearest to 2\/3? (a) g (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111110101010110011 (base 2) to base 13\nAnswer: 214624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37415665 divided by 5\nAnswer: 7483133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p + 90. What is y(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28145 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 + -486. Let f = 313 + u. Solve -5*w - 3*i - f = -8*i, 0 = -2*i + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - q + 279976 = -16842, -3*q - 98936 = -j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 6*i**2 - 5*i + 3. Let l(d) = -d**2 + 5*d + 1. Let z be l(6). Let o be m(z). Suppose o*j - 4 = 2. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626, -1, -1698, -4999, -10438, -18549, -29866, -44923?\nAnswer: -64254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8867 - -667. What is u rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776, 3572, 8232, 14756?\nAnswer: 23144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 2:33 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -110 (c) -0.2 (d) -0.7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10885380.7 to the nearest 1000.\nAnswer: 10885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**5\/6 - n**4 + 35*n**3\/18 - n**2 - 2*n\/3 + 4. Factor t(o).\nAnswer: (o - 2)**2*(o - 1)*(5*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.39 - -4\nAnswer: -7.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 15.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12*m + 1. Suppose 0 = 2*j + 5 - 1. Is 16 a factor of r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0)\/((-6)\/(-24)*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - 38. Let b = z + -131.42. Let u = 0.08 - b. What is u rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 96. Let c be 4\/p - (-351)\/8. Suppose c - 100 = -2*j. Solve 4*t - j = -5*d, 0 = -t + 3*d - 8 - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -16, 3, 58, 161?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.45388 microseconds to seconds.\nAnswer: 0.00004345388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2. Let k(z) = -4*z**2 - 6*z + 5. Let t(j) = -3*j**2 - 5*j + 4. Let c(i) = -5*k(i) + 6*t(i). Determine c(u(g)).\nAnswer: 50*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 339, 562, 841, 1188, 1615, 2134?\nAnswer: 2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4550337?\nAnswer: 3, 11, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8963484281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367278?\nAnswer: 2, 3, 41, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 + (-93)\/(-20). Does 3 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2909, 23309, 78761, 186815, 365021, 630929?\nAnswer: 1002089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 35*d**4\/24 - 26*d**3\/3 - 7*d**2 - 4. Find the first derivative of x(u) wrt u.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 - t**4\/24 + 5*t**3\/6 - 6*t**2. Let n(m) = m**2 + 1. What is -k(y) + 3*n(y)?\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 4*x + 1. Let z(f) = 4*f**2 - 3*f + 1. Give 6*o(t) - 5*z(t).\nAnswer: -2*t**2 - 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3261 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34429427093 - 2688\nAnswer: 34429424405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -14*w - 90 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7774 and 507104?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**2 - 378148*n - 770633 wrt n?\nAnswer: -4*n - 378148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g + 29\/6*g**3 - 2*g**2 + 11\/12*g**4 + 0. What is the first derivative of q(n) wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/3864 and 121\/6.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m - 3. Let q(t) = -t + 29. Let z be q(12). Let d = -11 + z. Let b(y) = -8 - 2*y + 3*y - d*y - 18*y. Give -3*b(n) + 8*f(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 2. Let j be l(-2). Suppose 4*y - 4 = 0, s - 4*y - 46 = -4*s. Solve k + j*z = -0*k - 19, 0 = 2*k - 4*z - s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1286 and 89130731?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-98)\/(-6))\/(1\/(-3)). Let z be (-51)\/(-7) + 14\/r. Differentiate -j + 5*j + 6*j**3 - z - 4*j with respect to j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 5*g**2 + 22*g + 6. What is f(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 6, -13, -2.\nAnswer: -13, -2, 6, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 7852.5?\nAnswer: 15705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -151142 times 325?\nAnswer: -49121150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*u**2 - 13*u + 13*u)*(1 - 5 + 2)*(0 + 0 - 2*u) in the form i + b*u**2 + t*u + r*u**3 and give r.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000303619675 rounded to seven dps?\nAnswer: -0.0003036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -554 and -230.\nAnswer: 127420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -70*m - 205. Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/255 and 87\/42706.\nAnswer: 10890030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 11*x - 12. Let h be ((-24)\/4 - -5) + x\/2. Solve j + 3*v - 17 = h, -j = 4*v - 13 - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**18*a**(2\/3)\/a**(-2) assuming a is positive.\nAnswer: a**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 1857?\nAnswer: 610953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + d + 20 = 0, -3*d = -2*l + 3*l + 8. What is the closest to 1 in -0.4, l, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.678974 rounded to one dp?\nAnswer: -38.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.21 and -1442.554.\nAnswer: -1442.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -357*g**2 - 42*g**5 + 80*g**5 + 10353*g**2 - 41*g**5 - 3003*g**3 + 246*g**4 = 0.\nAnswer: 0, 7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 7}. Give prob of picking 2 c and 1 o.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -8.1\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 6*a - 1. Let r(x) = 588*x**2 + 1008*x + 168. Determine -168*b(p) - r(p).\nAnswer: -252*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3038464 and 512?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 375488400 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-17 - -6) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17568)\/35136 + ((-2)\/5 - (-241)\/(-10))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 10 = -h. What is the highest common divisor of 93 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((-400)\/300*6\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*y + 0*y + 3*y - 4*y to the form m*y + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455e (base 15) to base 8.\nAnswer: 34572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -249, -2 in ascending order.\nAnswer: -249, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - 1 - -8 - (-5 + 6). What is the nearest to -56 in 0.5, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-4)*118\/(-12). Let s = 78\/197 - -32431\/1182. Let g = t - s. Sort 0.12, 4, g.\nAnswer: 0.12, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0466252 - -0.0468. Round l to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 7. Suppose 5*f + 0*f = -20. Let k be t(f). Let p(c) = -1 + 6*c - 8*c + k*c - 5. Determine p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369152 divided by -128.\nAnswer: 2884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*k - 4*j = -103*k + 52, -5*j - 35 = 0. What is the least common multiple of 126 and k?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3 + -1)\/(-2) - -2\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmj when three letters picked without replacement from mjjsjrrjmmm?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(225))\/(sqrt(120)\/sqrt(490))*-1.\nAnswer: -7*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3153, 2993, 2857, 2745, 2657, 2593, 2553?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 + 10 = 0. Suppose -12 = 4*f - 8*f. Suppose -i*j - 4*y + y + 139 = 0, -189 = -f*j + 2*y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 2*b - 19, -325*v + 331*v - 36*b - 1 + 7 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*c - y, -y - 2 = -4*c - 4*y. Let p = -4 + c. What is the units digit of (-185)\/10*(3 + p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 40. Let c(w) = w**3 + 2*w**2 + 3. Let u be c(k). Let f(r) = -r**2 + 3*r - 1. Give f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from ffbbbbbbbbbbbbbbbbbb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + o = 17, -7581*g = -7586*g + o + 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186.234 - 93.833.\nAnswer: 92.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23473986 and 162.\nAnswer: 633797622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -190*j**2 + 2*j + 1. Let c(l) = -2*l**2. Give n(c(f)).\nAnswer: -760*f**4 - 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from enjenjnjneeenenee?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.142*0.0195\nAnswer: 0.002769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (-1*(sqrt(1377) + 4 + 0 + sqrt(1377)) + (-5*2*sqrt(1377) + sqrt(1377) - (sqrt(1377) + 0 + -2)))**2).\nAnswer: -793164 - 1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -29.52. Let x = h + 0.08. Let y be ((-3)\/2)\/((-14)\/7). What is the second biggest value in y, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvnnvvnl. Give prob of picking 1 v and 2 n.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-8)))**(-6\/7)\/(m**(2\/57))**(4\/37))**(-21) assuming m is positive.\nAnswer: m**(101288\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -22 - (-1 - -12) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52094.56018 rounded to the nearest integer?\nAnswer: 52095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-1 - (-2 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 6*s - 9. Let a be ((-1)\/3)\/((-8)\/144). Let o(q) = -4*q**2 + 5*q - 8. Let p(t) = a*o(t) - 5*b(t). What is p(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186)\/3*5112\/(-2556).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 74. Let r = -48.6 - s. Is r at most as big as -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z + 1. Let g(c) = c - 1. Let j(v) = 16*v. Let q(d) = g(d) - j(d). Let a(m) = -7*l(m) - 3*q(m). Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 + -118. Calculate the least common multiple of c and 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1637271?\nAnswer: 8186355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -4\/1095339401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3215, 2, -1, 1.\nAnswer: -3215, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 27. Let x(u) be the second derivative of 0*u**c + 0 + 1\/6*u**3 + 3*u + 1\/12*u**4. Let x(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000133723 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b - 4*u, -5*u - 35 = -3*b - 0*u. Suppose -d + 7 = b*c, 2*d - c - 14 = -0*c. Let q = d + 46. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by -159\nAnswer: 108\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 23*j**3 - 8*j**2 - 11*j - 10. Let c(i) = -13*i**3 + 5*i**2 + 6*i + 5. Let u(s) = 7*c(s) + 4*x(s). Determine u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88907364 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -76*u**5 - 25427464*u**4 - 2126801936296*u**3 + 4477559678240*u**2 - 2574611837356*u + 223879522952 = 0?\nAnswer: -167287, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - 979\/(-2). Suppose -5*i + 3*c + o + 347 = 0, -i - c + 169 = 0. What is the remainder when 35 is divided by (i\/(-49))\/((-2)\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27493, -109981, -247461, -439933?\nAnswer: -687397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29989441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -2704)*(3 + -1). Suppose 8*b + 1484 = y. List the prime factors of b.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 68*g**4 - 24*g**3 + 6208*g**2 - 37376*g + 61440.\nAnswer: 4*(g - 8)**3*(g - 3)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v**2 + 8*v. Let n(l) = -4*l**2 - 3*l. Let m(c) = -8*n(c) - 3*s(c). Suppose a - 94 = -15. Let b(r) = -3*r - 79 + a. Calculate b(m(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -18. Solve a + 0*a + 3*k = 0, s = a + 5*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 438.9149 millennia?\nAnswer: 5266978.8","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 uuwwuw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-11 - -10) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.85120131 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3689341?\nAnswer: 31, 61, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10352108 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 15*o + 61. Calculate the smallest common multiple of j(-22) and 9.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1684 - 133?\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 + -31.7374.\nAnswer: -63.7374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 986757*u. Let a(z) = 280*z**2. Determine y(a(m)).\nAnswer: 276291960*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1753557825+-6\nAnswer: 1753557819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 - 3*h + 2. Let d be q(-3). Suppose d*a = -5*r - 7, -r + 5 + 8 = 4*a. What are the prime factors of 28\/a*(0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5 - 4) + 6 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 2*x + 1. Let m be q(-2). Let s be 2 - 1 - 76\/m. Suppose s*a = -25, -o + 5*a = -3*o - 3. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0 + 3\/100*j**5 + 51*j + 11\/10*j**3 + 9\/5*j**2 + 3\/10*j**4. Suppose y(s) = 0. Calculate s.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0 (c) -185 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62476409\/3 or -20825470?\nAnswer: -62476409\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9999872 - 1. Round g to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -81, -2\/17, -34\/23, 50?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/15*(-17493)\/(-686)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386859 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 8 - 9 + 17.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veeqdderzdzddz. What is prob of sequence eed?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*r + 10*r = 14, 2*p + 5*r - 13 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*j**2 - 2566095 + 1283049 + 1283046.\nAnswer: -91*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 77121*r - 231375. What is v(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o*x**2 - 22*o*x + 172*x**2 wrt o?\nAnswer: -3*x**2 - 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(-9) - 6\/27?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1420.13 and 1.3.\nAnswer: -1418.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 111, 173, 249, 345, 467?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*i, -3*i + 11 = 3*x - 19. Suppose 3*m - x = -o, 2*m = 3*m + 5. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256*810.7.\nAnswer: -207539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4295996368?\nAnswer: 2, 19, 31, 607, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let g(h) = -55*h**2. Give g(b(i)).\nAnswer: -495*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -0*s + 4*r - 29, 4*r + 10 = s + 9*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v - 1. Let j = 0 + 3. Let l(h) = -3*h - 27. Let a(k) = -3*k - 31. Let i(c) = -6*a(c) + 7*l(c). Give j*s(b) - i(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 - (6 - (56 - (29 + 5))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/46)\/((105\/(-14))\/15).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5846185, -5846193, -5846201, -5846209, -5846217?\nAnswer: -5846225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = -5*c - 4*c. Let w = 530 - 221. Suppose c = -175*m + 178*m - w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8834005?\nAnswer: 5, 1766801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -488201.9 and -1?\nAnswer: 488200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10201371.\nAnswer: 3, 3400457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 55771171, -2 in increasing order.\nAnswer: -2, 5, 55771171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4454 - -10?\nAnswer: -4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:29 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*v**3 + 540*v**3 + 640*v**2 + 736*v**3 wrt v.\nAnswer: 6798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 (base 9) in base 15?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5462 take away -155?\nAnswer: 158.5462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-5*k - k + 3*k) + (-3*k + 0*k + 2*k)*((-4 + 6 + 3)*(-1 + 2 + 0) + 1 + 0 + 0 + 3 + 3 + 12 + 2 - 1 - 2) - 5*k + 0*k + 3*k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/4 - 9011*u + 22545285\/4 = 0. What is u?\nAnswer: -36659, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1)\/(3\/27). Let v be 5\/3 - 3\/b. Let x(y) = -y**3 - y**2 + 2*y + 3. Let t be x(-2). Solve p + t + v = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 3*o + 18606 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (793\/(-156) + 5)\/((-2)\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 19 - 15)*(-20 - 59*o**2 - 14 + 36).\nAnswer: -1711*o**2 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 1 = -4*t. Let m be (8\/t)\/((-10)\/(-75)). Let l = 51 - -3. What is the greatest common divisor of l and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -19, -2.\nAnswer: -19, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-15 + 47 + -38 - (3 - -1 - 0)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8554\/(-39)*8\/70. Let d = o - -74\/3. Which is the biggest value? (a) d (b) 2 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/53522 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 882556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52455 + 340912. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from hhpwpppppphptppw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 5, q: 1, i: 1, j: 6, v: 1}. What is prob of sequence ri?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j*j\/j**5))*j**(-4))\/(j*j*j\/(j*j**(-1\/12))*j\/(j*j**(4\/3)*j)) assuming j is positive.\nAnswer: j**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + b + 5 = 0, -337 + 328 = -3*o + b. Factor -10*n + 28\/5*n**o + 24\/5 - 2\/5*n**3.\nAnswer: -2*(n - 12)*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 12}. What is prob of picking 1 c and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**7\/42 + 7*k**6\/6 - 261*k**5\/20 + 733*k**4\/12 - 409*k**3\/3 + 156*k**2 - 6*k + 89. Find a, given that i(a) = 0.\nAnswer: 1, 3, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260313 (base 8) in base 12?\nAnswer: 44323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15801 - 7842. Suppose 8*z = 5*z + g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*m = 5*z + 371*m + 26, 17 = -3*z - m for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c7 + 6?\nAnswer: -1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by 1\/(-22) - (-1236)\/88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 0?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 89*v\/4 - 235\/2.\nAnswer: (v - 94)*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {d: 1, c: 1, s: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/5))\/k**5)\/(k*k**(3\/2)*((k*k**(-5\/6))\/k)\/k))\/(k**(-6)*k\/(k**(-4)\/k*k)*(k**(-1\/2))**22) assuming k is positive.\nAnswer: k**(113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-756)\/888)\/21*(-280)\/(-630).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84)\/(-98)*(-24 - -46000) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2. Let q be x(4). Solve -q*k = -2*g - 12, 0*g = -4*k + 2*g + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2022\/7 less than 1.2717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**3 - 2*i**2 - i. Let a be f(-1). Suppose -g = -a - 1. Suppose -10*q + 55 = -75. Which is bigger: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*i**2*q**3 - 2*i**2*q + 11*i*q**2 wrt q?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 24*p**2 - 135*p - 5. Let s be d(-9). Let l be 14\/(-8) - (-2)\/(-8). Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -4 (c) 35 (d) -3 (e) 1.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 32. Put -1\/6, -3, 3, m in ascending order.\nAnswer: m, -3, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqmm when four letters picked without replacement from mqrrmrmrmmrrrqrqqrr.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 + 214. Put x, 2, 0 in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 22*g + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, 73, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.789 + -0.211. Suppose -5*i = -4*i - 3. What is the closest to 0.2 in -0.5, i, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1. Let x(m) = -3*m - 91. Calculate -3*c(g) - x(g).\nAnswer: 3*g + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, 3, -2\/13, -116?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -5*i**3 + 150. Let n(f) = 9*f**2 + 6*f + 6. Let a(u) = -u**2 - u - 1. Let q(r) = -18*a(r) - 3*n(r). Determine q(h(t)).\nAnswer: -2025*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (3 - 1) - -8. Let i = j + -5. Differentiate 3*k - 3 - i*k + 2*k**2 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {h: 2, k: 1, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2 - 3*n**4 + 4*n**2 + 0*n**4 - 2*n**4 wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1291*w - 2039 = -12920 - 5902 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235 + 52*y**2 + 235 + (0 - y + 0)*(y + 0*y + 0*y) + (-5 + 3 + 4)*(-1 - y**2 + 1).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:11 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 37*u - 8. What is n(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(187) + (4*sqrt(187)*-2 - sqrt(187) - sqrt(187)))\/(5*sqrt(99) + sqrt(11) + sqrt(88)\/(-2*sqrt(8)))*-4.\nAnswer: 144*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-5)\/(-2))\/(51\/(-34)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139432 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 835662690 and 3090.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -595, -1369, -2455, -3853, -5563?\nAnswer: -7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3982689 divided by -7?\nAnswer: -3982689\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429458029 to the nearest integer?\nAnswer: 20723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2936 - 3474 + 12682 = -528*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (sqrt(450) + 2*sqrt(450))*3 + sqrt(450)))**2.\nAnswer: -54000*sqrt(2) + 1620900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 3*z. Let k be (z\/1)\/(6\/12). Suppose k*m + 3*m + 32 = d, 0 = -d - 5*m + 2. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 1, i: 5, u: 8}. What is prob of picking 2 a and 1 v?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725090020, -2900360102, -6525810246, -11601440458, -18127250744, -26103241110?\nAnswer: -35529411562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302420421 + 4?\nAnswer: -302420413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -2*p. Let o be (p - -9*2) + -1. Calculate the greatest common factor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 357\/102*(-2)\/(-21)*-6. Sort 4, y, 29, 3\/2, 29\/2 in decreasing order.\nAnswer: 29, 29\/2, 4, 3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1005407232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -1 (c) 22\/39 (d) -261\/25 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*w + 2, -16*w - 3*m - 7 = -17*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004596168 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1100)\/23100)\/(1*(-3)\/(-7))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -1\/2 (b) 3 (c) -8\/5 (d) -0.02 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(1 + sqrt(847) + sqrt(847))*4)**2.\nAnswer: 6336*sqrt(7) + 488021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -91482 to the nearest 100.\nAnswer: -91500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 55 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 + 2 = 0. Suppose -g = 4*h - 10. Calculate the greatest common divisor of h and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 - 3*s**2 - 4*s + 6. Let y(z) = -3*z**3 - 2*z**2 - 5*z + 5. Give 2*h(o) - 3*y(o).\nAnswer: o**3 + 7*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/6 (b) 3\/5 (c) -0.3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-7)\/315*63\/70*10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(h - 3*h - h)*(4 + 1 - 3) + (-17 + 2 + 0)*(-2*h - 2*h + 5*h) + (1 + 0 + 1)*(2*h + 0 + 0).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 1, t: 1, i: 2}. What is prob of picking 1 i and 1 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1237.57469?\nAnswer: -1237.57469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -8, -20, -36, -56, -80, -108?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from mtvm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3449 is divided by 858.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091*-0.09474.\nAnswer: 0.00862134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 146769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**2. Let g(t) = 0*t**2 - 2*t**2 + 2*t**2 + t**2. Give -8*g(k) - z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 2*z + 2. Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 20, 25, 30?\n\"Answer: 5*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjak. Give prob of sequence aak.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3674 = -2*v, -3*v = -4*v - 2*r + 1829. Calculate the remainder when v is divided by (64\/(-112))\/((-37440)\/3402 - -11).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5572 + -13130\/3. Let w = v + -1182. Let i = 2\/19087 + 2424037\/114522. Find the common denominator of w and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*h**3*r**3 + h**3*r**2 - 474506*h**3*r + 20811*r**3 wrt r?\nAnswer: -762*h**3 + 124866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-10 + -6) - 1\/1. Suppose -p - 26 = -3*p - 4*i, g = 2*p + 2*i. What is the nearest to 0.2 in 2\/21, p, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -8*x**2 + 152*x - 67. Let z be b(5). What is the greatest common divisor of z and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - q - 34 = 73, 2*t - 3*q = 51. What is the highest common factor of t and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from kpswbswwbbwss.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -418 - -418.2. What is the nearest to z in -23, -1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -167. What is the nearest to -5.8 in -4, -1, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:50 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77)\/(-91) + -1 + 698\/(-26). Let b(t) = t**2 - t - 65. Let m be b(n). Suppose -4*y = 5*v - 2*v - m, y + 1167 = 5*v. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - i + 2. Let c(y) = 28*y**2 - 10*y. Let p be c(9). Let t(g) = 2178 - g - p. Calculate -m(w) + 2*t(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9394468 centimeters?\nAnswer: 9394468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/22)\/((18\/8)\/9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/16 + 5*n**3\/24 + n**2\/4 - 2*n + 4. Let r(s) be the first derivative of a(s). Factor r(z).\nAnswer: -(z - 2)*(3*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 1 + 0)*(2*x - 5*x + 5*x) - x + x + x to f*x + y and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -876355*b**2 + 333*b - 95 wrt b.\nAnswer: -1752710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17297.\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8087781236?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 967856502 to the nearest integer?\nAnswer: 31110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/194832 and -53\/151536.\nAnswer: 1363824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 9*o + 1764. Let g be (-1)\/((-7)\/(-2)) - (-180)\/o. Which is the nearest to -1\/3? (a) g (b) -2\/53 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -183, -365, -543, -717, -887?\n\"Answer: 2*w**2 - 188*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 576 + -256. Suppose -b = b - y. Let s = b + -101. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: bb1b0b (base 14) to base 8\nAnswer: 30145577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + 0*y)*(46133*y - 4 - 46133*y + 486*y**2).\nAnswer: 486*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -r. Suppose 5 = 5*q, z + r*q - 33 = -0. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12069397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*q + 67009 - 68130 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 266876*k\/7 + 8902849922\/7.\nAnswer: 2*(k + 66719)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (4 + -2))*(-12)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -8*t - 5*o - 35, -4*t = -o - 24. Solve 8*s = t*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*11.304\nAnswer: -56.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 7*p - 16. Let q be z(9). What is the third derivative of -17*j**2 + 0 + 0 + 9*j**5 + 0*j**q wrt j?\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134572285 and -5.\nAnswer: -672861425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 14. Let s be (80\/(-12))\/(2\/3). Let y be (-4)\/s - 114\/810*6. What is the nearest to -1\/3 in y, 5, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + 5. Let q(g) = -5*g**3 - 6. Determine 5*q(j) + 6*u(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 - -6.84. Let o = -7 + u. Let s = -0.2 + 0.1. What is the closest to s in -3\/4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - 22. Let b = -42 - -62. What is the highest common factor of k and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(14)\/sqrt(2)).\nAnswer: 6 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*t + 3*c, -15 = 6*c - c. Suppose -4 - 2 = -2*q + t*g, q + 4*g + 8 = 0. Let v = -32\/21 + 286\/105. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 - 6*n**2 + 7*n - 5. Let v be j(4). Let d = -323 + v. Calculate the highest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 5450841\nAnswer: 2180336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**9\/84 + v**5\/6 + 3*v**2 + 10*v. Let t(n) be the first derivative of a(n). Find the third derivative of t(j) wrt j.\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352539801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1557 - -3198. What are the prime factors of r?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/21 - 8992*n**2\/21 + 1176922*n\/21 + 341404\/3 = 0. Calculate n.\nAnswer: -2, 137, 4361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from haddhddadahhdhad.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -443 + 445 - 4*k - 2*k + (0 - 1 + 2)*(2*k - k - 3*k) to y*k + u and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-63*m + 80*m - 60*m) as g + b*m and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16911982 divided by 16911982\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0. Let n = -1.5 - -1.2. Suppose 21 - 4 = 4*j + h, 3*j + 4*h = 16. Which is the second smallest value? (a) n (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 237 and 1064841?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8) - (-1035)\/100 - -2)*17860\/31255.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*s - 17. Let o(g) = 24 + 9*g - 11*g + s*g. What are the prime factors of o(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 2*i - 2*i**2 + (-2*i + 0 + 0)*(-1 + 2*i + 1) + i**2 + 303262*i - 151997*i - 151803*i + 4 in the form j + c*i**2 + u*i and give u.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*i - 780 = 1542, -4*i + 1390 = 3*c. Suppose -459*a - 980 = -c*a. Calculate the greatest common divisor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 33*u - 194. Let b be c(6). Let k(m) = 3*m + 3. Let v be k(6). Let j = v + b. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62903 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 + 392*n - 2060 = 0?\nAnswer: -103, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1613.6882 from 32.\nAnswer: -1581.6882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 611360 and 6720?\nAnswer: 25677120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*c + 857*c - 3888 = 311*c + 3834 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -132547*t - 426. Is o(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1075698.9 milliseconds to hours.\nAnswer: 0.29880525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 16*t = 4*i + 36582, 0 = -9*t + 2*i + 329136. Does 230 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -276\/5. Let b = 0.55 - -4.45. Put f, b, 1 in decreasing order.\nAnswer: b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998208.\nAnswer: 2, 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 - 6*x - 3. Let q be s(-3). Suppose 0 = -q*o + 101*o - 1450. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**7\/42 + 8*s**6\/15 + 9*s**5\/10 - 4*s**4\/3 - 17*s**3\/6 - 5*s + 30. Factor c(q).\nAnswer: -q*(q - 17)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4568340 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-4)\/(-20)*(-9)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -968*z**2. Let q(g) = -g. Calculate q(k(f)).\nAnswer: 968*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 15*m - 7. Let d be f(-10). Which is smaller: d or 44?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 3, 0, -4, 0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/3 + l**3\/2 - l**2\/2 - l. Let m(j) = -j**2 + j - 1. Give -2*m(o) + n(o).\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -1\/3 (c) -0.179133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240 - 241. Let i be (-12)\/15*20\/4. Which is the third smallest value? (a) -5\/4 (b) s (c) i (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.11339 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5428260 divided by -12.\nAnswer: 452355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 1, f: 1, p: 2, a: 1, m: 2}. Give prob of sequence bpf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127*(-1 - 32\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*t + 8 + 12 = 0, 16 = 3*l - 7*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or 237?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49905532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w. Let m(k) = -2*k - 2. Let q(h) = 1. Let g(p) = -m(p) - 2*q(p). Calculate n(g(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4481934169.\nAnswer: 23, 194866703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -5.4 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*m - 563*m - 424*m = -2253 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2314*r**2 - 27100 + 13581 + 13519.\nAnswer: -2314*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from gsqfbfnnb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/((66\/(-12))\/11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let s be m\/(1*(0 - 1)). Suppose s*f - f = 15. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5. Let j = -68.3 + 68. What is the closest to a in j, -0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0, -2\/4657, 2\/9, 4, 0.3, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + w**2)*(2 - 2 - w**2) - 53843*w**2 + 53843*w**2 - 37*w**4 + (0*w**2 - w**2 - w**2)*(w**2 - 4*w**2 + w**2).\nAnswer: -34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g - 10. Let x(r) = -6*r**2 + r. Let i be x(1). Let m be p(i). Let q be (198\/(-63) - -4)\/(16\/14). Are q and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vgj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:19 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = -30*x + 28*x, 4*x - 24 = z. Solve -3*o = o + 5*d + 9, z = -5*d - 25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9293*d**3 + 75689*d.\nAnswer: 55758*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3916594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-24) - (-111634)\/(-216). Let v = -517 - g. Let r = -80\/351 + v. Which is the closest to -0.6? (a) r (b) 0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4554303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2162 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 0.3, -3\/1462 in descending order.\nAnswer: 0.3, -3\/1462, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:36 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 9. Let g be z + (-2 - (-10)\/2). Let s = 0 - g. Solve -3*w = 4 + s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -96. Let d(r) = -8*r**3 - 4*r**2 - 3*r + 5. What is the hundreds digit of d(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2282*x. Let u(p) = 14042*p. Determine z(u(f)).\nAnswer: 32043844*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 4. Suppose 5*r = -3*u - b, 0 = -0*r - 3*r - 15. Solve 0 = g - u + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -4*-1*6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 7*y - y)*(2*y + 2*y - 5*y) + 2*y**2 + y**2 - y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(5)*2 + -1 + sqrt(1620)).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -191*y**2 + 563*y + 86. Let k(s) = 3*s. Give k(n(h)).\nAnswer: -573*h**2 + 1689*h + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 66*w - 614. Give f(-12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 78. Let s = -225 + 213. Let t be -2*(-206)\/8 - s\/24. Calculate the greatest common divisor of t and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050672 divided by 59.\nAnswer: 17808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 3\/9*(-1 - -40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**3 - i - 6. Let h(w) = -6*w**3 + 2*w + 5. Give 6*h(f) + 5*r(f).\nAnswer: 4*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205 * -661.\nAnswer: -135505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-666)\/(-999) - 110\/(-6)) + -14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/(-36))\/(4\/24). Sort -4, 5, -2, -1, t in descending order.\nAnswer: 5, -1, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.39 - 0.09. Which is the closest to -2\/3? (a) 0.2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(-46*s - 4*s + 10*s).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/12 - s**4\/24 - 399*s**2. Let y(z) = 21*z**2 - 4*z + 1. Determine 9*g(r) - 2*y(r).\nAnswer: 3*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1145581.056 to the nearest one thousand.\nAnswer: 1146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 182. Let n = l - 78. Let j = 22.999974 + n. Round j to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -22, 2\/13, -0.1, 2, -10461?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-38)*-1 + 0. Let t = -12 - -13. Which is the nearest to t? (a) f (b) -3 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -f + 2, -2*f - 2*k + 3*k = -9. Solve -3*v - x = 5, 3*x + f = -v + 5*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16604 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/(-280) + (-47111)\/(-5). Suppose -15*u = -22*u + w. 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 (-5 - -1)*1\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*m**2 + 39*m - 10*m + 3*m**3 + 4 + m + 32*m + 130*m**2 wrt m.\nAnswer: 18*m + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 24*l**2 + 9*l**2 - l.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -614627*p**5 - 636958*p**2.\nAnswer: -36877620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 9*u - 22. Suppose 246*s + 487 - 696 = 2005. What is r(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 78 - (2341 + -2265).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/3 - 212*g**4\/3 - 431*g**3\/3 + 634*g**2\/3 + 1708*g\/3 + 856\/3 = 0. Calculate g.\nAnswer: -2, -1, 2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35390473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1633 = -169*h - 2930 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-3) + -3)\/1. Which is the nearest to -0.2? (a) 1\/2 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3648*-43348.\nAnswer: -15813.3504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 46*f - 42*f - 49245, -2*n + 5*f + 32784 = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2304 and 29\/1053.\nAnswer: 269568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7621, 6543, 5465, 4387?\n\"Answer: -1078*w + 8699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 - -623. Suppose -6*k + r = 12*k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12417*c - 11963*c + 26943*c + (-2 + 3 + 0)*(0 + 0 - c) - 2*c - 2*c + 3*c - 2*c + 0 + 0 in the form m + x*c and give x.\nAnswer: 2559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512492 is divided by 465178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 138878825 to the nearest 10000.\nAnswer: 138880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let l(q) = q**2 - 9. Let h(v) be the second derivative of v**2\/2 - v. Let u = 2 + -20. Let s(b) = u*h(b) - 2*l(b). Give s(x(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 31. Let j(b) = 3*b + 83. Let r be j(c). Suppose 2*o = 7*o - 3*n - 92, 5*n = -4*o + r. Solve -3*x = -12, -4*z - 3*x - o = -2*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 18*p. Let n(s) be the first derivative of s**2\/2 + 5*s - 1. Let a(x) = 1. Let r = -11 + 16. Let l(o) = r*a(o) - n(o). What is w(l(i))?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + -3 + (-4)\/(-2). Let d(i) be the first derivative of -i**4\/4 + 8*i**3\/3 - 7*i**2\/2 - 4*i - 3. What is d(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n - 13*n + 651 = 28*n. Solve 247 = n*k + 212 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-6)*161\/(-92)*(8 - (-1536)\/(-210))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + -1.3. Let d = 24 - 23.8. What is the nearest to d in n, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-157)\/(1408290\/(-805))*3\/21?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**4 - 2*g**2. Let i(u) be the third derivative of -u**5\/30 - 3*u**2. Let p(d) = 3*i(d) - 2*n(d). What is the third derivative of p(k) wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*r + 88*r + 56*r - 113 + 34*r - 20*r wrt r?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -1\/3*g**5 + 1\/3*g**3 - 4\/3 + 7\/3*g**2 - g**4 + 0*g = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3288*n + 9874. Calculate z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 8*a - 61. Give y(0).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -1.6. Let g = -1.17 + i. Let u = 3.93 - g. What is the closest to -1\/5 in 1, 2\/5, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 237*q**2 + 76*q + 1179. What are the prime factors of c(-17)?\nAnswer: 2, 5, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-350)\/(-7) + (1\/(-3) - (-48)\/9). What is the greatest common divisor of c and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o - 3. Let k(x) be the second derivative of x**3\/6 - x**2\/2 - 2*x + 54. Determine -d(j) + 3*k(j).\nAnswer: -j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5508 = 4*y - 17097 + 37. What is the lowest common multiple of 8 and y?\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*k - 3*i + 10, 3*k = -i + 5. What is the third derivative of -4*n**2 - 124*n**3 + 122*n**3 - k*n**2 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -135. Let d be 42\/h + 1 + -3. Factor 1\/2*z**2 + d*z + 1.\nAnswer: (z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 34*a**2. Let v(k) = 603139*k + 1. Determine v(q(r)).\nAnswer: 20506726*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:05 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/3))\/((u\/u**5)\/u)*(u\/(u**(-1\/7)\/u))\/(u*u**(-2)) assuming u is positive.\nAnswer: u**(178\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 27*z - 9*z - 9*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 11*t**2 - 40*t - 48.\nAnswer: -(t + 3)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 786 and 2038884.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*l - 15 = 128*l, 0 = r + 4*l + 937880. Round r to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1\/945*d**7 + 1\/540*d**6 - 1\/270*d**5 - 1\/108*d**4 + 0*d**3 + 3*d**2 + 0 + 0*d. Find c such that z(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 803, 3, -4 in descending order.\nAnswer: 803, 3, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:52 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from {p: 1, j: 4, c: 9, f: 2, d: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230584 + 489977. Let h = u - 148393. What is h rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-45592)\/(-123))\/139)\/(4\/(-45))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 5:34 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/52 and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2520*v**2 - 5125*v**2 + 18711*v**2 + 21924*v**2.\nAnswer: 32990*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from {y: 10, c: 3, v: 5, z: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.33\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 - 1438 = -31*m. What is the least common multiple of m and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231899 - 231899 + 7*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.22 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 8877316*o\/3 - 19701684840964\/3.\nAnswer: -(o - 4438658)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2 - (-168221)\/83888). Let g = q - -188\/89. Let v = 187 + g. Sort v, 0.2, 4.\nAnswer: 0.2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 5*r)*(3 - 4 + 3) + (0 - 4 - 7)*(-3*r - 2*r + 3*r).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u - 5. Let t(y) = -y + 1. Let d(z) = -j(z) - 6*t(z). Let o = -12 - -8. Let x(l) = -l + 3. Calculate o*d(m) - 2*x(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 200814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111\/41380 - 60532347\/5255260. Let q = w + 2\/127. Find the common denominator of q and 55\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let z(b) = -3*b**2 + 5*b + 131. Determine z(c(q)).\nAnswer: -3*q**2 - 5*q + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t - 2. Let d(f) = 3*f**2 + 2*f - 5*f**2 + 3*f**2 - f. Let l be d(-1). Put -5, t, l in descending order.\nAnswer: t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 13*z + 2. Suppose -3*r = -3, r = -m - 0*r + 5. Let k be y(m). What is the greatest common divisor of 20 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 7 = -3*h + u, 3*u + 13 = 5*h. Let n be (1 + -1)\/(4 - 5). Is n at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 25675 = n + 4*n, -25693 = -2*r - n. Suppose 3*u + 5*t - 6*t - 12860 = 0, r = 3*u + 2*t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*x**5 - 9*x**4 - x**3 + 5*x**2 - 63*x.\nAnswer: 6540*x**2 - 216*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3166*g**2 - 3364 wrt g?\nAnswer: -6332*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 53*v + 7. Let b(j) = 54*j + 5. Let o(k) = -3*b(k) + 2*w(k). Let r(q) = -54*q. Let x(y) = -6*o(y) + 5*r(y). Does 8 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10)*(-24)\/16. Let h = -4.38 - -0.38. Which is the closest to 2? (a) 4\/9 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -958.950081522 - -958.95. What is d rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:07 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.3 and -412.\nAnswer: -409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2\/14)\/((-271)\/(-24661))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 101, 233, 419?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 28 + 32\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(128) + sqrt(128))*-2 - (sqrt(128)*2 + -1 - (-1 + sqrt(128))*6))**2.\nAnswer: 3328*sqrt(2) + 32937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34778\/1237071 - -24\/1973. Calculate the common denominator of a and -5\/121.\nAnswer: 6897","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57\/2 of a second?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 2*b, 5*o + b = -26. Let j = o - -41. Let s(l) = 4*l**2. Let w be s(1). Calculate the greatest common factor of w and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*p - 539, 2*p - 8 = -y - 185. Let r = y + 315. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-826)\/2124*15\/7 - (-41)\/(-12).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + w + 11 = 0, -5*n + 0*w = 4*w + 26. Let s(v) = -13*v + 16. Let k(p) = -7*p + 8. Let z(q) = -11*k(q) + 6*s(q). What is the tens digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59*113\/60003*45\/(-7)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.0013 + 7. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1129087*j**4 + 5*j**2 + 2*j + 12634 wrt j.\nAnswer: 27098088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1181*n**3 - 11*n**2 + 53*n + 79. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95267\/104 - 916. Calculate the common denominator of r and 5\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c + 441482 = -958558. What are the prime factors of c?\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**4 + 112*s**3 + 780*s**2 - 112*s - 784 = 0?\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 15, -4*f + d + 1511 = -4*d. Let q = 555 - f. Calculate the highest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/22 + 176932\/284284\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (28 - 27 - (8 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43327111\/29802 + 5\/4967. Let s = 1465 - z. What is the common denominator of s and 58\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -988 - -994. Let a(s) be the first derivative of 0*s + 1\/10*s**g + 0*s**2 - 3\/25*s**5 + 1\/5*s**3 + 7 - 3\/20*s**4. Factor a(w).\nAnswer: 3*w**2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (3 - -8) + (-19 - -9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195 - 224) + (1 - 57).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2605*f - 4096*f - 814*f**5 - 2963*f**5 wrt f?\nAnswer: -75540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.5, 83.11, 1, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1183, -4 in ascending order.\nAnswer: -1183, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2466272 divided by -616568.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 1 + sqrt(425) + -2 + sqrt(425))*5 + 4)**2 + -2.\nAnswer: -150*sqrt(17) + 95624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12*k*k**(-1\/6) assuming k is positive.\nAnswer: k**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 15. Let a = 843 - 852. Put a, 0, u in decreasing order.\nAnswer: 0, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s. Suppose s = -0*c - 5*c + 55. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v\/(v*v**0))*(v**1*v)**(4\/3))**(-13) assuming v is positive.\nAnswer: v**(-299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/86, 0.3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 3*s - s)*(29*s**3 + 96*s**3 + 25*s**3 + (3*s - 2*s - 2*s)*(-s**2 - 4 + 4)) as m*s + o*s**2 + k + r*s**4 + f*s**3 and give r.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8 - 22*s + 14*s**2 + 9 - 33 + 9 + s**3. Is g(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676\/(-2366) - ((18600\/(-2940))\/(-62))\/(5\/(-35))?\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7992749423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 + 3436*l**2\/3 + 13720*l\/3 + 13712\/3.\nAnswer: 2*(l + 2)**2*(l + 1714)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11151, 44610, 100371, 178434, 278799?\n\"Answer: 11151*f**2 + 6*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, and 2 j when four letters picked without replacement from {r: 1, t: 5, m: 2, o: 1, j: 9}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3633 + -3633. Let m = 96\/17 - 5540\/969. Which is the nearest to m? (a) 1\/4 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from bcxhxxhxxhhh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90201 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 459*c. Let i(f) = 184*f. What is h(i(b))?\nAnswer: 67712*b**2 + 84456*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 145835*q - 291690.\nAnswer: 5*(q - 2)*(q + 29169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50302?\nAnswer: 2, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7901935?\nAnswer: 5, 1580387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230124 (base 7) to base 9.\nAnswer: 62066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 2*v**3 + 0*v + (39 - 28 - 24)*(2*v**3 + 2*v**3 + 0*v**3) + (-14*v**3 - v**3 - 3*v**3)*(-4 + 3 - 1) to r*v**3 + q*v**2 + m + h*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4)*s)**(20\/11)\/(s**(-1\/6)*s\/s**(-1\/2)*s))\/((s\/s**(-1))**(-1\/11)\/(s**(1\/4)*s*s*s**(2\/5)*s)) assuming s is positive.\nAnswer: s**(3089\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4041841880 - 142*s - 4041841880.\nAnswer: -142*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/3 (b) 1\/7 (c) -38956 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -8, -3, -60, 4, 5 in ascending order.\nAnswer: -60, -8, -3, -1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9496*d**3 - 2368*d?\nAnswer: 56976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.0537 + 15.269. Let q = 0.242 + -1.452. Let p = h + q. Round p to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from dgdgndgddngn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -151?\nAnswer: 29\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474920973 divided by 52768997.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w - 2*w + 534964 = -678490. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + (-6 - (-5 - -2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9926 divided by -7?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14 - 0)\/(2\/3 + 16\/(-33))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 76 = k. Suppose -a + 5*y + 0*y = 5, -5*a + k = -3*y. Solve z - 2*z = a*w + 3, 3*w + 2*z = -6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 257*d - 629. What are the prime factors of s(5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 - 2*c - 4. Let a be f(6). What is the third derivative of 13*h**2 - 9*h**2 - a*h**5 - 113*h**5 + 27 wrt h?\nAnswer: -7980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 37.021. Let m = 0.02099947 + f. What is m rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -275901, -279238, -282573, -285906, -289237?\n\"Answer: t**2 - 3340*t - 272562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492128?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 5. Let z be q(0). Let d be 33\/2 - 2\/4. Solve n = z*n - d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/10*(-2)\/(-6))\/(((-2442)\/(-9306))\/37)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3909.131+240001\nAnswer: 236091.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 108 = -2*t + 110, t + 4*t = -2*h + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 777*r + 48792.\nAnswer: 3*(r + 107)*(r + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22, 2, -1336, -32, 5.\nAnswer: -1336, -32, -4, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3)*18\/(-12). Solve -3*g = -2*g - 3*v + 7, -d*v = 3*g + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -90*n**2 - 10*n + 1. Let z(k) = k**2 - 1. Let q(m) = r(m) - z(m). Find the second derivative of q(b) wrt b.\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10. Let y be 2\/s + 169\/13. What is the remainder when 19 is divided by (y - 12)*(-12 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + 0*r)*(-3 + 5 + 0) - 6*r + 6*r + 8*r - 2 + 2 - r + (2 - 4 + 4)*(2*r - 2*r - 2*r) + 0*r + 0*r + 2*r + 3*r - 6 + 6 + (-6 + 3 + 2)*(r + r + 0*r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25447*v - 30289*v - 217890 = 0 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-7))\/((-10)\/(-2)))\/(438\/730)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1301?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 11*t**2 - 16. Let d be y(11). Let o be (d\/20 + (-58)\/(-10))*1. Solve 2*s = o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13) + 5 - (-4 + sqrt(52)\/sqrt(4)))*2.\nAnswer: 2*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 10 = 0, 4*r - 3*l + 21 = -2*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 12. Let x be l(5). Put 4, -4, x in descending order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65328 (base 15) to base 10.\nAnswer: 321338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6117686, -12235384, -18353082, -24470780, -30588478?\nAnswer: -36706176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - 98. Suppose -p*f - 2*z + 694 = 0, 0 = -f + z + 180 - 37. What is the highest common divisor of 350 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20527 (b) 5 (c) -5 (d) 15.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003447 to 4 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 7. Let b be i(0). Let q = -4 - b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 778391317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4673\/2 - 14023\/6. What is the biggest value in k, 30, -18, -1\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1362, -5393, -12076, -21381, -33278, -47737, -64728, -84221?\n\"Answer: 5*f**3 - 1356*f**2 + 2*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 6095 - 6064 = -12249 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136056800 - 0.\nAnswer: -136056800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -13. Let o be ((-2)\/(-4))\/(j\/120). Let -2\/11*y**o - 4\/11*y + 0 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 7732439 by 23.\nAnswer: 336193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*q. Suppose -p - 2 = -2*a + 14, 0 = a + 2*p - 18. Let l = a - 8. Solve -5*c - 10 = 0, 4 = -q*o - 4*c + l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4711314474 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - ((1 - -6) + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*v + 2263 - 2266 = 5028 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 3 - (-11 - 1). Let f(q) be the second derivative of 22*q**3\/3 - 37*q**2\/2 + 480*q. Is f(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 - 28*j - 44. Let k(p) = -p**3 - 21*p**2 - 14. Let b be k(-21). List the prime factors of m(b).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -4*u + 13, u = 2*o - 2. Suppose 1 = -h + o. What are the prime factors of (7\/2)\/(1\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8825124 rounded to three dps?\nAnswer: -1.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w - 3*i + 65 = 0, w - 30 = -i. What is the greatest common factor of 1175 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(4 + -1*6) + 11. Solve 10*u - w*u - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 take away -4224.2?\nAnswer: 4224.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 + 41*l + 14. Let s be q(-9). What is the highest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from {m: 1, w: 2}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7)*-1) - sqrt(153)*-2 - (sqrt(34)\/sqrt(2) + 3 + -1).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*s + 4*u, 4*s + 3*u + 7 = 0. Solve 0 = -s*l - q + 4*q + 21, -3*l - 11 = 4*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*m**2 + 282*m**2 + 1156*m**2.\nAnswer: 1201*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 10\/21?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/1296)\/((-30)\/189).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*b + 150*b + 5*l + 12945 = 0, -2*b = 2*l - 12980. What are the prime factors of b?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380510586.\nAnswer: 2, 3, 41, 515597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*18\/30)\/(((-2268)\/(-45))\/18)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 124*o - 1453. What is b(12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29136.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.21 (b) 3 (c) 1 (d) 5 (e) 3\/7 (f) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(100) + sqrt(7) + (sqrt(700) - sqrt(700)*2) + sqrt(700) + sqrt(700).\nAnswer: 56*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -334000000 rounded to the nearest one million?\nAnswer: -334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighty-five quarters of a tonne?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**5\/20 - 5*y**4\/6 - 5*y**3\/3 - 6*y**2 + 10*y + 2. Let h(o) be the first derivative of b(o). Is h(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.6097 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1163854.17ms?\nAnswer: 0.013470534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*v - 15, -13*g + 2*v - 10 = -11*g. Factor g - 2\/13*z**3 + 0*z - 4\/13*z**2 + 2\/13*z**4.\nAnswer: 2*z**2*(z - 2)*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 5. Let t(w) = 5*w - 4. What is -4*p(r) - 3*t(r)?\nAnswer: r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0, -3, -54 in descending order.\nAnswer: 33, 0, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 63 + 0 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + o**3 + 26*o**2 - o - 27*o**2 - 15 in the form v*o + x*o**3 + t*o**2 + i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-11 + (-20)\/(-5))\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42, 87, 138, 201, 282, 387?\n\"Answer: w**3 - 3*w**2 + 47*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-3 + -3)\/2. Suppose -w*y + 68 = 3. Calculate the remainder when 50 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/72*(-5)\/((-140)\/16).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/185 - -12079\/1665. What is the common denominator of f and 4\/((-16)\/65)*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 - 15*j**2 - 18*j = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 10 (c) 0 (d) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 5*h**2 - 5*h + 5. Let r be m(4). Calculate the remainder when 38 is divided by ((r + -3)\/1)\/((-6)\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 1, l: 7}. What is prob of picking 1 w and 1 l?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*i**3 - 169*i**3 + 195*i**2 - 46*i**2 - 1707*i**3 + 1.\nAnswer: -1534*i**3 + 149*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2074*q - 1963*q = 2997 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -115. Suppose 49 = -5*w + 614. Let u = w - t. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35840 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 349794 divided by -18\nAnswer: -19433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5406, 43589, 147236, 349083, 681866, 1178321, 1871184, 2793191?\n\"Answer: 5456*d**3 - 4*d**2 + 3*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 28?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*s + f, 5*s - 3*f - 2 = -6. Let k be (-20)\/(s\/(9\/(-6))). Let d = 59\/2 - k. Which is the nearest to 2? (a) -2\/7 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x - 97. Determine w(-11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, -0.01358, 0.2?\nAnswer: -0.01358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 11. Suppose -p - r = -2*p + 3*y, y + 16 = 3*p. Suppose -5 = 6*b - 23. Solve b*q - p*h = -4 - 0, -h = 5*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*2\/(-6)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:35 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1221 - 3*x**2 - 1221.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 375 + -1883\/5. Let t(v) = -v**3 + 10*v**2 - 29*v + 29. Let h be t(6). Is a greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -271*m**4\/6 + 5881*m**3\/6 + m + 96. What is the second derivative of u(g) wrt g?\nAnswer: -1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3546740 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 1. Suppose 2*f + d = -0 + 2, -3*f - 5*d + 3 = 0. Let k be 13 + -10 - (f - 0). Let b(x) = 2 + 0 - 3*x + k*x - 1. Calculate 7*b(c) - 4*z(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i - 130*i - 792 = -85*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5402518, -10805038, -16207558, -21610078, -27012598?\nAnswer: -32415118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.13928?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -170*b - 5. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3583, 3533, 3483, 3433, 3383?\n\"Answer: -50*f + 3633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3131242 and 16?\nAnswer: 25049936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(7) + -2)*-2 + (sqrt(567) + sqrt(567)*-1 - (sqrt(7) + (sqrt(7) - (4 + sqrt(21)\/sqrt(3))))))**2 + -2)*3.\nAnswer: -1584*sqrt(7) + 4263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4 + 1*(sqrt(117)*-1 + sqrt(117) + 4)*5)*1)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 7*j)*(-2*j + 5*j - 2*j) + 14*j**2 - 4*j**2 + 3*j**2 + 4*j**2 + 0*j**2 - 3*j**2 + (2 + 0 - 1)*(j - j + 2*j**2).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 47*k - 64*k + 1.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = c, 2*c = -0*k - 3*k. Let o = -10 - -14. Let j = o + k. Solve -y + 2 = j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-252)\/(-10))\/((-1)\/(-25)). Suppose t = w - 162, -t - f - 33 = -4*w. What is the remainder when w is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-435)\/(0 + 3 - 2\/1). Let z = y - -1160. Let s(h) = -h - 732 + z + 3*h. Give s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*m**4 - 4*m**3 + 3507?\nAnswer: -76*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 3*v**2 - 464*v + 428*v + (-2 + 4 - 1)*(3*v**2 - 3*v**2 - v**2) - 1 - v**2 + 1 to the form r + o*v**2 + t*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 199 = 5*k + 139, -3*i + 3 = 0. Let v = -63 - k. Solve -v*h = 5*t + h + 20, t = 2*h - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:23 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqkn when four letters picked without replacement from {r: 1, n: 7, q: 1, k: 5}.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = -4*b + 68, 2*a - 14 = 2*b. Let w be (a\/8)\/(9\/30). Suppose -3*j + 3*p = -6*j + 795, 0 = w*j - 3*p - 1357. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28843 + 28921.126. Let r = -78 + l. Let o = 9.026 - r. What is o rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**14\/o*o*o*o**(-8)*o*o assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -739 - -350. Let w = h + 19062\/49. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2371*w + 7107. Calculate u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404177902.\nAnswer: 2, 67, 277, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1822 - 3 - 3)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1\/1*1. What is the greatest common factor of 9 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from bkc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 8*a + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -8.03, -82, -5 in descending order.\nAnswer: -0.5, -4, -5, -8.03, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 110130300?\nAnswer: -110130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -17*y + 6*y. Suppose 8*b + 2*s + 476 = y*b, 4*s = -b + 154. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200 = 2*i + 2*i - 4*s, 4*i + 3*s = 1214. List the prime factors of i.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/10*(1044\/1305)\/((-7)\/(1575\/(-24)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92.8 - -96. Which is smaller: 1\/4 or f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**3\/3 + 3*s**2\/2 - s. Let w be j(2). Let o = w - -2. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 34 = 50. Calculate the highest common factor of v and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14319 + 28263. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2661, 3596, 4417, 5124?\n\"Answer: -57*r**2 + 1106*r + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/3828 or 0?\nAnswer: 5\/3828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3626939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82016 and 12142562?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2401211308*y - 2401211308*y - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 291 - 317. Suppose 192 = c - y. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 2, j: 1}. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 12476.\nAnswer: 49904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 164028720 rounded to the nearest one million?\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 2:07 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108*13\/780*(-3)\/(-108)*6?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, w: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1509\/5 - 301. Let f be (0 - 1)\/((-2)\/6). What is the smallest value in a, f, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461955 or -13157606\/9?\nAnswer: -13157606\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22 - 9\/(36\/16). Suppose t = -2*h + 10, t + 3 = -3*h + w. Suppose 6 = h*n - 9. Solve 2*b + 4*m = -18, 0 = -5*b + n*m + 3 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262256 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/a*a)**10\/(a**(-5)*a*((a*a**(-2)\/a*a)\/a)\/a))**(-21\/4) assuming a is positive.\nAnswer: a**(-357\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970281?\nAnswer: 3, 7, 189061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*w - 50*w - 25*w**2)*(7 - 3 - 1).\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4*x**2 - 2*n**4 + 192*n**3*x - 459*n**2 - 2*x**2 wrt n?\nAnswer: -48*n*x**2 - 48*n + 1152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 962999.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19051238897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*f - 2*s - 5904, 0 = 4*f - s - 11802. List the prime factors of f.\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 4. Let d(g) = -5*g + 5. Let q(f) = -4*d(f) - 6*u(f). Differentiate q(h) with respect to h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13603169 and 6?\nAnswer: 81619014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1))**(-2\/55)*(l**(-2))**(2\/17))**(-43))**22 assuming l is positive.\nAnswer: l**(15996\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 6*x**2 - 7*x - 2. Let k be p(-3). What is the highest common factor of k and 1425?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 4*v - 2. Let m be z(3). Let a = 5 - m. Suppose 0 = 5*p + a*w - 146, -2*w - 63 = -2*p + w. What is the remainder when 57 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 75*p - 26. List the prime factors of h(5).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 25 = 5*f, -8*f - 120 = -5*g - 80 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*l**3 + 104*k - 5*l**3 - 12*l**2 wrt k?\nAnswer: l**3 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 23*u**2 - 45*u - 2. What is the remainder when i(16) is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3)\/(18\/15). Suppose m*i - 2*i = 702. Calculate the greatest common factor of i and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.70621 and 8?\nAnswer: -21.64968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*l = 66, 3*l + 129 = 4*b + 2. Let c = 33 - b. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1894571 and 1894569 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2564175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4125*m**5 + 2401*m**4 + 2 - 2 - 2401*m**4 + (-4*m + 0*m + 3*m)*(2*m**4 - m**4 - 2*m**4).\nAnswer: -4124*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 19 (c) 0.3 (d) 5.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23313 and -134?\nAnswer: 31.23942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(3\/10))\/(227\/(-681))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 8*l + 6. Let x be k(-3). Suppose x - 26 = -w. What is the remainder when 49 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -84. What is the closest to -1 in -0.5, 4, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:29 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 102011201022 (base 3) to base 2\nAnswer: 110101101100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 191*m + 4. Let z(i) = 200550*i + 4202. Give 2101*p(v) - 2*z(v).\nAnswer: 191*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 35*d**2 - 122*d + 68. Let x be i(-31). Solve 0 = x*g - 19 + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301384319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuunnuunnunnnnnnnn. What is prob of picking 2 u?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/3 - 2940*s + 8822\/3 = 0. Calculate s.\nAnswer: -4411, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 221519, 221521, 221523, 221525?\n\"Answer: 2*t + 221517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/(h*h**6)*(h**(-1\/3))**(-5\/9))**(-16) assuming h is positive.\nAnswer: h**(15584\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.2. Let m = 0.3 - z. Let g = 2.3 - 2.2. Which is the nearest to g? (a) m (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101343139 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 - 292. Let g = j + 465.87. Let c = -0.13 - g. Which is greater: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5dde (base 15) to base 16\nAnswer: 4e29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**2*l**2*n**3 - g**2*l**2 - 445*g**2*l*n**3 - 43*g**2*l*n + 3*g**2*n - 2*g*n**2 wrt n.\nAnswer: 12*g**2*l**2 - 2670*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 673657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512*s = 817*s + 76526 + 2796 + 11509 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 218?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.365726ng?\nAnswer: 0.000000009365726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 6. Suppose 5*w = -3*c - 25, c = -0*c. Let s(k) = -k + 7. Give w*i(p) + 4*s(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46724.84 nanometers in millimeters?\nAnswer: 0.04672484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -0.04154?\nAnswer: -0.0004154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237376.\nAnswer: 2, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 4. Suppose 3*w - 5*w - 170 = 4*k, 2*w + 2*k = -164. Let s = w + -2. Let p = s + 87. What is o(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/4*a**5 + 36*a + 0*a**3 - 81\/4*a**4 + 0 + 93*a**2 = 0. Calculate a.\nAnswer: -4, -3, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5557 or 711295\/128?\nAnswer: 711295\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8.861 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16429297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(11\/((-55)\/(-10)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/3784 and -97\/9460.\nAnswer: 18920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1363866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t - 8. Let v(z) be the second derivative of z**4\/12 + 3*z**3\/2 + 4*z**2 - 5*z - 2. Let c(m) = -6*r(m) - 4*v(m). Factor c(o).\nAnswer: -4*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 837548 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -253*j**4\/4 - 208*j**2 - 156*j - 2. Differentiate h(b) wrt b.\nAnswer: -1518*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and -1482066?\nAnswer: 1482074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(-12)\/28*896\/84.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 + -229. Suppose -23*i = -v*i + 8. Let k = 5 + -3. Solve -l - i*j = -k, l + l - 4 = -j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33 - 20 - 81*b**4 + 26 + 86*b**4 + 3*b + 2*b**5 - 49*b**4 wrt b?\nAnswer: 40*b**3 - 528*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-252)*-4)\/(6\/(-105)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 + 111*i**3 + 756612*i**2 + 1512756*i = 0. Calculate i.\nAnswer: -483, -2, 0, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b + 105. Solve 3*h - 4*n - 8 = 0, 10*h - 5*h + n = b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 11b?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + 0.2. Let f = 55 - 54.04. Let c = f + r. What is the nearest to -2\/5 in 0.3, c, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1604038 (base 9) to base 3\nAnswer: 1200011001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226378 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 8. Let l(g) = g + 2. Let m(s) = s**2 + s - 2. Let h be m(-3). Let j be l(h). Solve v = -c - j, v = 2*c + 3*c + w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19444 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u - 98*u = 296*u + 688 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 19. Let w(l) = 20. Let p(j) = 5*a(j) - 6*w(j). Let o be p(-10). Suppose -4 = 23*t - o*t. Solve -3*u = 4*z + 4, 0 = 2*u + 5*z - 3*z + t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 42*u**2 - 24*u - 510. Calculate d(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(72) + (1*sqrt(72)*3 - sqrt(72)) - sqrt(72) - sqrt(72))\/(-2*sqrt(36)\/sqrt(6))).\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36978 or -36979?\nAnswer: -36978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263551 + 2.\nAnswer: 263553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.31 + 0.56. Let d = 0.25 - a. Let k = d - 10.08. What is k rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwl when three letters picked without replacement from {b: 2, l: 6, u: 3, w: 5, j: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p**2 + p + 28. Let u(j) = -29*j**2 + 2*j + 56. Determine -11*r(k) + 6*u(k).\nAnswer: 2*k**2 + k + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98108764663 minus -0.6?\nAnswer: 98108764663.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*r + 20, 5*r - 5*s = -16 - 24. Let t = 12.4 - 16.42. Let y = t - -0.02. Sort -3\/2, y, r in descending order.\nAnswer: -3\/2, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 680, 1526, 2710, 4232, 6092, 8290?\nAnswer: 10826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 4*u + 4*u)*(21 - 31*u - 21)*(4*u**2 + u**2 - 6*u**2) to v*u + h*u**2 + q*u**3 + j + w*u**4 and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -360053857 + 70705\nAnswer: -359983152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 39*h**2 + 2*h + 1. Let u be z(-1). What is the greatest common factor of 57 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7916, 14531, 21146, 27761?\nAnswer: 34376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -5. Calculate the remainder when (-16)\/6*9\/(-2) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 3*c - 8, -t - 1 - 3 = 2*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*m + 46260 = 127*m. What are the prime factors of m?\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h + 3*u, -6*u + 2*u - 30 = -2*h. Suppose w - v = 0, h*w + 0*w = v. Factor w*m + 6 - 3\/2*m**2.\nAnswer: -3*(m - 2)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -0.05, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.74 + 5.74. Put -8.6, p, -0.5 in increasing order.\nAnswer: -8.6, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 4115*d + 2 - 23*d**5 + 4122*d wrt d.\nAnswer: -460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-220)\/(-114))\/(-20*11\/(-330))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4 + -4 + 4 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 35. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 18*o**2 - 50*o + 354. Determine m(12).\nAnswer: 2346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -1) + (2 + 101 - 6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)*110670\/119 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from aaaaaddwwydadwy.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - s + 1 = 0, -p - 2*s = -0*p - 2. Let o = 4 + p. Which is the third biggest value? (a) -3\/4 (b) o (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1829 - -645. Let p be (-2 - 1)*(-274)\/(-3). Let y = f - p. What is y rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 110\nAnswer: -3\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*w - 8 = 0, 3 - 13 = 5*w. Suppose 0 = -10*k + 20 - i. What is the common denominator of 44\/41 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**3 - 72*u**3 - 7*u**3 + 179*u**3.\nAnswer: 76*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.41 + -0.81. Let j = z + -9.6. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8192*m**3 + 6318*m**2 wrt m.\nAnswer: 49152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 23. Suppose -2*h - 3*y + 77 = -0*h, 5*h + 2*y = 209. Calculate the greatest common factor of h and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 14, 2?\n\"Answer: -12*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 6 - 1)*-1. Suppose -11 = -m*o + 14. Suppose 0 = o*j + 5*i + 30, 2*i + 12 = -2*j - i. Sort -2, j, -4 in decreasing order.\nAnswer: -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3098 is divided by 386.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68059619 to the power of 1\/2, to the nearest integer?\nAnswer: 8250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (3\/(-2) + -3). Suppose j - 3*j = 5*p - 15, -4*p = 3*j - x. Let z be ((-140)\/25 - -6) + 123\/5. Solve p = -4*b + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 4*m**2 + 4. Let o be x(4). Let s = o - 2. Solve 5 = -s*h - 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 33 (c) 0 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 99 - 97 + 196.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, -5736 in increasing order.\nAnswer: -5736, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -321 - 4?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32497819.\nAnswer: 32497819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -9 + 1 + -14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q*q**(-2\/7)))*q**(-3))\/(q*q*q*q**(-3\/4)*q*q)**12 assuming q is positive.\nAnswer: q**(-366\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from mabawbwbwbabqb.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91978 - 4?\nAnswer: 91974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8234\/22*2 + 6\/(-11). What is the units digit of 37 - 37 - x\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -5 + -3 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d + 3*d + 2*d + (8 - 4 + 1)*(d - d + d))*(-6 - 1 - 19)*(2*d - 3*d + 0*d + (-2*d + 5*d - d)*(-4 + 2 + 0)) in the form p + t*d + u*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655845?\nAnswer: 3, 5, 23, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -228, -14, -4035?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 108*f + 1013. Calculate s(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m - 8. Let y be b(3). Suppose -14 = y*j - 34. Suppose j*k = -0*k + 95. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, c: 3, y: 1}. Give prob of sequence cp.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 384359121 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 55*x + 62 - 3*x**2 + 0*x**2 as b*x**2 + n + w*x and give w.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.261 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 72 = 4*w, 81 = -4*w - 7*s + 12*s + 10 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/624 and 17\/1440.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 520?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 - 4*p - 4. Let d be t(6). Suppose d = 2*n - 6. Let b = 18 - n. What is the least common multiple of b and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/1127 != -18.868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b - 5. Let g(p) = p**2 + 6*p - 11. Let i(t) = -4*g(t) + 9*j(t). Let n be i(-6). Suppose n = 7*o + 21. Solve 0*y = 5*y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 132?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -149. What is the closest to n in 0.3, -5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 4:56 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 22715 = -1069. What are the prime factors of z?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*0\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:14 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 40. Suppose -2*j + h - 34 = j, 0 = 4*j + 2*h + 32. Let z = j + c. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -19*w**3 + 1. Give s(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 17, 0, -23?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614816341.\nAnswer: 614816341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*f*y**3 - 3*f*y + 5*y**3 - 4*y**2 wrt f?\nAnswer: -38*y**3 - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*u + 6159*u - 135*u + 19567*u.\nAnswer: 25490*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97.4 - 97. Let o = -93\/13 + 344\/39. What is the smallest value in -0.3, -5, i, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -11*n**6\/20 + n**5\/60 - 7*n**4\/12 + 8*n**2 + 2. Find the second derivative of m(k) wrt k.\nAnswer: -396*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 (base 15) in base 6?\nAnswer: -2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 187, 26, 17 in increasing order.\nAnswer: 3, 17, 26, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 30, 39, 40, 27, -6?\n\"Answer: -i**3 + 5*i**2 + 3*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477267469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-12) + (-23)\/20. Suppose -o = s, s - 14*o = -11*o - 20. Put s, 1\/3, 0.6, c in increasing order.\nAnswer: s, c, 1\/3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3 = -9*y. Let d = -102\/763 - 1\/109. Put y, -5, d in decreasing order.\nAnswer: d, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15303276 or -15303275?\nAnswer: -15303276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -2)*(40 - -16). Let z be c\/6 - (-1)\/3. Solve -5*r = -z - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 5*s**2 + 9*s + 13. Let t(v) = v**3 + 2*v**2 - 4*v - 6. Let c(g) = -2*m(g) - 5*t(g). Is c(4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9744.799 + 0.01.\nAnswer: -9744.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4)*(-4*z - 4*z + 6*z)*(1 - 1 - 1) to the form a + u*z and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3903 + 3973. Solve 12*n + 2*n + c = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16224 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.1, -2, 38853, -9, 45?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2018469261 to the nearest one hundred thousand.\nAnswer: 2018500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 11652584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -436, -394, -326, -232, -112, 34, 206?\n\"Answer: 13*z**2 + 3*z - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 + -11234011?\nAnswer: -11234124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22107494 - -22107503.9999884. Let g = t - 10. What is g rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537503051 to the power of 1\/2, to the nearest integer?\nAnswer: 50374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12210 is divided by 109.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13223, 26445, 39667, 52889, 66111?\nAnswer: 79333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002309243225 rounded to five dps?\nAnswer: 0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12707, -27722, -45047, -64682, -86627, -110882?\n\"Answer: -1155*a**2 - 11550*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*a + 64*a + 12*a**2 + (-1 + 1 + 2*a)*(0*a - a + 2*a) to the form m*a**2 + h*a + s and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 30 + 30. Is 3\/18 - (-7606)\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/33 - -3\/22. Which is the nearest to 0.1? (a) -0.1 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 a when four letters picked without replacement from {l: 9, a: 1, z: 9}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 629 + -492. What are the prime factors of t?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.57145 to 1 dp.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242606 by -230.\nAnswer: 121303\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 = 5*g + 2, h - g = 2. Suppose -p + 4 = j - 0, 36 = 5*j - h*p. Suppose -10*k + 13 = -47. What is the smallest common multiple of j and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 10. Let u be 6\/10 + s\/5. Suppose 0 = u*r - x - 86, -3*r - 2*x = 2*x - 61. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, and 1 x when three letters picked without replacement from {n: 1, p: 1, f: 2, x: 1, c: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 9*c**2 - 4*c - 35. What is h(-6)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3282 + -91871\/28. Let t = s + -8\/7. Let w = -2415 + 2408. Which is the closest to t? (a) 2\/15 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/275 and 79\/300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, 3 in decreasing order.\nAnswer: 3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwdzzwj. What is prob of sequence zw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22291 (base 10) to base 5.\nAnswer: -1203131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426526998.\nAnswer: 2, 3, 71087833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 244521.\nAnswer: 244520.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-30336))\/(3\/4). Let d = -41249\/31284 + l. What is the common denominator of -61\/22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-8769*a + 17534*a - 8763*a - 48 + 11 - 4 + 4 + 2*a + (a - 2*a + 2*a)*(0 + 4 - 2)).\nAnswer: -6*a + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y - 89*y = -91. Let -y*w - 7*w - 20 + 3*w + 3*w + 19*w**2 - 18*w**2 = 0. What is w?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/14 - (-156)\/28. Suppose -59 = -s*m + 346. Calculate the remainder when m is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/6 - 7*r**3 + 54*r**2 + 9*r - 9. Factor v(c).\nAnswer: 2*(c - 18)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -3506?\nAnswer: 3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b**(-1\/10)\/b))*b\/(((b**(-3\/10)*b)\/b*b)\/b)*b**(-2\/21)\/(b*b**(-7)) assuming b is positive.\nAnswer: b**(641\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 89. Which is the smallest value? (a) p (b) 2\/3 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -9, -14, 85, 33.\nAnswer: -14, -9, -2, 2, 33, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 23 + 1 = 0. Suppose 0 = -2*k - 5*u + 4 - d, 0 = -4*k - 2*u - 8. Sort k, -6, 0 in ascending order.\nAnswer: -6, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 17*q - 51. Let y be -1 + (9 - 2) - q\/(-17). Suppose 3*j - 20 = -p + 1, j + p = 9. Sort j, y, 0.2 in decreasing order.\nAnswer: j, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/4 - 3\/(-4). Find the first derivative of a*z - 90 - 125*z + 31*z wrt z.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 1, f: 4, o: 4, c: 2, x: 6}. What is prob of picking 1 t and 3 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 417943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**3 + 10*p. Does 5 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 302*u = 307*u - 37, 0 = -3*o - 4*u + 3. Put o, 1\/5, -2, 0.5, 1 in decreasing order.\nAnswer: 1, 0.5, 1\/5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -10.99, 547, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000086318 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(1088) + -1 + -4)**2.\nAnswer: -112*sqrt(17) + 1137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 30*w + 0*w**2 + 30*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*k**2 + 67*k - 67*k + (k + 0*k - 2*k)*(-k - 2*k + 2*k).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 44 = -4*y + 5*v, 4*v + 2 = y. Let a be 2\/(-7) - (-10)\/y. Let h(q) = -30*q. Let m(k) = -12*k. Let c(n) = 5*h(n) - 12*m(n). Calculate c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.79 - -18537235.39167?\nAnswer: 18537242.18167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6911, 27\/16, -2, -10?\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2*k**2 - k - 10. Calculate r(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -1452117.\nAnswer: -9\/484039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4369 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.2. Let p = 282 - 281.9. What is the third smallest value in x, p, 0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(70) + (sqrt(70) - -2*sqrt(70)) + sqrt(70) - sqrt(70)) + sqrt(70))*-5 + sqrt(70) + sqrt(70))\/(sqrt(90) + -1*sqrt(90) + sqrt(10)))**2.\nAnswer: 18515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595870 is divided by 262?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h - 1157. Let b(d) = -2*d - 382. Give 7*b(f) - 2*v(f).\nAnswer: 2*f - 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33825059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.43645398 from 2.\nAnswer: -3.43645398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75662, -151724, -227786, -303848?\nAnswer: -379910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 + 10*y - 9. Let v be r(1). Let l(i) = -i**3 - i**2 - i. Let o(u) = 14*u**3 + 6*u**2 + 6*u. Determine v*l(a) - o(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 12*w**2 - 6*w - 16. What is the units digit of i(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*-0.5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185.3 + -336.7. Let z = -120 - a. Let p = -31 + z. What is the second biggest value in 4, 1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*o + 110406, 0*z - 3*z - 73609 = -2*o. Let t be (3 + o)*(-248 + -2). What is t rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405256 is divided by 81051.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1809)\/(-134)*(56\/(-66) - 2\/(-11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 8 + 10)*(-3 + 3 + 4*o) + 12*o - 3*o + 15*o + 10*o)*(-2*o + 2*o**3 - 3*o**3 + 5*o**3).\nAnswer: 152*o**4 - 76*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2536*m**2 - 25371*m - 83. What is n(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3289744, 3289743, 3289744, 3289747, 3289752, 3289759, 3289768?\n\"Answer: q**2 - 4*q + 3289747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37431\/4 - -9358. Sort 5, u, 1.2, -4 in descending order.\nAnswer: 5, 1.2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -837 + 837.000067. Round v to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -93, -158, -241, -348, -485?\n\"Answer: -h**3 - 46*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + -1.08. Let l = 3 - v. Let i(n) = -2*n**2 - 4*n + 1. Let q be i(-3). What is the second smallest value in l, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and -50.749.\nAnswer: -2588.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79479966 divided by -13246661.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*o - 37028 = -109*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43454 + 43458. Determine h so that -1\/2*h**v + 0*h + 0 + 0*h**2 + 7\/2*h**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {d: 1, p: 8, r: 2, m: 2}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*(-335)\/(-15008))\/(10\/21).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 - 0. Suppose -u*n = -0*n - 12. Does 10 divide ((-30)\/4)\/(n\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4151470 = -50*k + 7285080. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 12 + 2. Let p = h + 3. Let o(v) = 3*v**2 + 2*v - 2. Give o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + (-4 - -9 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5455618.\nAnswer: 2, 7, 389687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/357 - 908\/(-68).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:11 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3572748 and 4366692?\nAnswer: 39300228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1390815\nAnswer: 1390815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 divided by 1.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520248 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*b + j, -20*b + 24*b + 8 = 4*j. Solve h + 3*y - 1 = b, 12*h - 9*h + 5*y - 7 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p + 4025 - 1088. Let k = 388 + p. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 241*w**2 - 23*w - 10. Suppose 0 = -215*v + 210*v + 25. Let u be i(v). What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17 + 18*o**2 + 27*o + 9*o**2 - 2 - 25*o**2. Let y be f(-15). What is the highest common factor of y and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**3\/45 - 124*g**2\/15 + 7688*g\/15 + 137. Factor y(d).\nAnswer: 2*(d - 62)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 263159a3 - -4?\nAnswer: 263159a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = -30. Suppose 0 = -2*k - 3*y + 12, 2 = -5*k - y + 32. Does k = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(9\/7)\/g)\/g)\/g**(-17))\/((g\/((g**17*g)\/g))\/g**(-3\/8)) assuming g is positive.\nAnswer: g**(1843\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088 - 4.\nAnswer: -4.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 7*l**2 - 2*l + 13. What are the prime factors of s(9)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 188 = 55. Is 6 a factor of (273\/63)\/((-1)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(2299) - sqrt(2299)*1))**2 + -3 + (1 + sqrt(2299)*-1 + -5)**2)*4*6.\nAnswer: 2112*sqrt(19) + 55872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5336, -5339, -5344, -5351, -5360?\nAnswer: -5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h**4 + 0*h)*(-2 + 1 + 0) + 0*h**4 + 15*h**4 + h**4 + h - h - h**4 + (-3*h**3 + 3*h**3 - 3*h**3)*(1 - 2*h - 1) - 2*h**4 - h**4 + 0*h**4.\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -27. Let l = 40\/111 + -1\/37. Which is the nearest to -2\/7? (a) l (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4215 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336897 - 336897 - 2300*o to the form k + v*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19147 and 162049?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.111 (c) 0.2 (d) -195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 778119799 minus -32?\nAnswer: 778119831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k - 12*k + 54*k - 17*k - 7*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 - 2))*(-95 + 98)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 10*j. Let o = -14 + 19. Let l(s) = -s**3 + 4*s**2 + 2*s + 6. Let a be l(o). Calculate the smallest common multiple of 9 and t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -558083, -1116158, -1674233, -2232308?\n\"Answer: -558075*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.69 + 4.59. Let g = -2.1 - l. Let u = -1 + g. Which is the second biggest value? (a) u (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.14946 and -0.4.\nAnswer: 0.459784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxk. Give prob of sequence kx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 6. Let d = -126 + 126. Let i be (-5)\/(110\/11)*(d - -6). Is i <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m, -15 = q + 4*m - m. Suppose q = 4*l - 0*l - 3*h - 112, -84 = -3*l - 3*h. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3403440 and 698320.\nAnswer: 1024435440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276*c**2 - 45*c**2 + 4*c**2)*(-4 + 3 - 29*c**3 + 26*c**3).\nAnswer: -705*c**5 - 235*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1226*n**6 - 1687*n**3 + n**2 - 13548*n + 77 wrt n.\nAnswer: 147120*n**3 - 10122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coooooooeonoc. What is prob of sequence ooe?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(20\/70).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -557 - -1173. Is 56 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -760 + 759.7. What is the nearest to 1\/247 in i, 11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o - o**4 + 12*o + (-2*o**2 + 2*o**2 - o**2)*(o**2 + o - o) + o - o - o**4 - 12*o**4 - 3*o**4 - o**4)*(-19 + 19 - 7*o)*(-2 + 1 + 2).\nAnswer: 133*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300) - sqrt(300))**2*1 + -4)*-4*3.\nAnswer: -14352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 532.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -0.1 (b) 0 (c) 20 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6436 - -386161\/60. Find the common denominator of h and 33\/766.\nAnswer: 22980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7226837 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(91) + -6*2*sqrt(91))\/sqrt(7) + (sqrt(52)*1*-6)**2.\nAnswer: -11*sqrt(13) + 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 6. Let t(y) = -2*y - 4. Let v be t(-5). Let n = v + x. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8232 and 2226840?\nAnswer: 109115160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k. Solve k = 2*h + 10 - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -333, 4, 130, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9416 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.5. Let j be (-1)\/((-24)\/224) + 2\/(-6). Suppose 3 = 6*k + j. What is the nearest to k in 3\/7, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593908261 to the nearest integer?\nAnswer: 24370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03648240106 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*i**2 - 43*i**2 - 6*i**2 as n*i**2 + d*i + u and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-4)\/(2 + 2). Let g be (8\/d + 0)\/((-9)\/(-27)). Is 38 a factor of (-129 + g)*1*(-12)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 6*i)*(-i + 2*i - 3*i)*(-5744*i**3 + 5653*i**3 - 3437*i**3).\nAnswer: -7056*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)*v**(1\/4) assuming v is positive.\nAnswer: v**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.83 + 4.13. Let k = u - -2.2. Let y = -5.5000023 + k. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -529*k**2 - 1048*k**2 + 59*k**2 + 507*k**2 - 745*k**2. Let g(x) = -2*x**2. What is r(g(l))?\nAnswer: -7024*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = k + 15. Suppose -75*o = -78*o - k. Let q(d) = -d - 1. Determine q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13 = -a, 4*l = -6*a + 2*a - 8. Sort 5, a, 2.\nAnswer: 2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1825371.431?\nAnswer: 1825371.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414706 is divided by 59241?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4909 + 4909. Sort t, 0.03, -0.1, -26 in increasing order.\nAnswer: -26, -0.1, t, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348039*p**4 - 7381*p**2 - 24 wrt p.\nAnswer: 8352936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 7870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 4\/3 (c) -1\/3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3597?\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lltt when four letters picked without replacement from ttttttttttltttttttlt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245 + 3 + 27)*(2 + 3 - 7)*(5 - 4 + 1)*(-2 - 3*h + 2).\nAnswer: -2580*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/4)\/((-1)\/(-8)). Let z be 3\/a*0\/(-2). Suppose -4*b - 26 = 2*d, -5*d - 5*b = -z*b + 40. Are d and -3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11 and -3856.52.\nAnswer: -3856.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3) + 4\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9989*t - 1403. Does 173 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 13. Let g be h(-2). Let i be g*6\/1*4\/(-12). Which is the closest to 3? (a) -1\/11 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-23)*p)\/p**2)\/((p\/(((p**(4\/7)\/p)\/p)\/p))\/p)**(-28) assuming p is positive.\nAnswer: p**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*q - 3*q - 22*q + 4680 = 29*q for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2781 + 2761, l + 10*b = 5*l + 7*b + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(1872) + 3))**2.\nAnswer: 288*sqrt(13) + 7526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzqqpwgwzgg. Give prob of sequence lgw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9279 - 9271. Let i be 362*2\/((-4)\/(-3)). Suppose 0 = -z*m + i + 641. Is 37 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*s - 20 = 0, s - 3 - 4 = -u. Suppose 4*y - d = -y, 0 = u*y + 4*d - 24. Let b(n) = 5*n**3 + n**2 - n. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5391, -4750, -4111, -3474, -2839?\n\"Answer: -w**2 + 644*w - 6034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 10*t**2 + 8*t - 9. Let x = 61 - 70. Let q be o(x). Solve 1 = m - q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5530 times -4?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 116. Let p be o(-16). Suppose 0 = 3*z - 4*z - l - 2, 4*z - 28 = 5*l. What is the third derivative of -13*n**z + 2 + 21*n**2 - 2 - 2*n**p wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-1 + 0)\/((-2)\/10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 76, 1.8, 5, 0.5, 0.057?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3331 - 1673 - 3*c - 1662)*(-2*c**4 + c**4 + 0*c**4).\nAnswer: 3*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {y: 2, p: 2, t: 1, g: 4, f: 4, k: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 0. Let j be 3 + f + 0 - 0. Solve 2*p - 3 = j*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6973128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + w**2 + w + (-w - 3*w + 3*w)*(1 + 0 - 3)*(-4*w - 4*w + 2*w) as u*w**2 + k*w + p and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46541.67l?\nAnswer: 46541670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 13\/2. Let z be (-1 - -1)*3\/48*8. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**17*h)*(h\/(h\/h**8)*h)\/h assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.1074 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27396*d - 187110 = -30231*d for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 0.3, -1\/1810?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15 - 3)*(-u**2 + 0*u**2 + 2*u**2).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 355604 = -4*c, -4*p + p = 12. Round c to the nearest 1000.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*h + 330 = 0, 0 = -3*d + 4*d + 2*h - 63. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:57 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4*y**2 - 2)*(-3 + 2 + 3 + 3 - 1 + 0 + (0 + 0 - 2)*(-2 + 2 - 1) - 3 + 1 + 4) to q*y**2 + r*y + x and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 136110*f**3 - 136644*f**3 + 1 + 9*f**2 - 8*f**2 + 2*f as q*f + l*f**3 + w + i*f**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 8, p: 6, e: 3}. Give prob of picking 3 p and 1 e.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 15 - 48 + 22. Let k be l(4). Let f = k + 15. Solve g + g - 4 = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 832\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10222222 (base 3) to base 15\nAnswer: -ce5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/15*2\/4)\/(33\/33)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 2. Let l be a(2). Solve -5*x + c + 8 = -l*x, -4*c + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/(sqrt(8)\/sqrt(4)) + (sqrt(11) - (sqrt(11) - sqrt(99))*-4) + -3 - (2 + sqrt(11) + 3 + 0)*6)*-2)**2.\nAnswer: 3168*sqrt(11) + 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 4, y: 2}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 54131154 divided by -154\nAnswer: -351501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -4.4.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -78960, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/5 + 8*t**3\/5 + 79*t**2\/5 + 14*t.\nAnswer: -t*(t - 14)*(t + 1)*(t + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 5*j**4\/12 - 2660*j**3 + 6368040*j**2 - 6180*j. Factor q(h).\nAnswer: 5*(h - 1596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4428946361 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -419294.404211.\nAnswer: -419294.104211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**4 + 3*m**3 - 18*m**2 + 4*m - 170 wrt m?\nAnswer: -48*m**2 + 18*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.022 - 314.978. Let c = t + 315. Which is smaller: 283 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 3*z + 2*z - z**2 + z.\nAnswer: -z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/15 - (-4)\/10. Let j = -6.1 - -10.4. Let y = 4.1 - j. Do o and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628 = 13*p - 2214. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 115*n**2 - 1906*n - 701. Give b(17).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1709a?\nAnswer: 170a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o**2 - 55*o**2 + 1 - 12*o**2.\nAnswer: -29*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 3*k + 246 - 67 - 1310 in the form g + s*k and give g.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 5*v**2 - v**2 - v**2 - 3*v**2 + 3*v**2 - v**2 + 0*v + 0*v - 2*v**2 - v**2 + 7*v**2 + (0 - v + 0)*(-v - 2*v + v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4 = -0*t, 5*w = 5*t - 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/84*n**8 - 1\/3*n**4 + 0*n + 58*n**2 + 1\/5*n**5 + 1\/30*n**6 - 2\/35*n**7 + 0*n**3 + 0. Suppose d(m) = 0. Calculate m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138899 divided by -1?\nAnswer: -138899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -0.06, -3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.5 - -15.558. Let n = o - -0.042. Which is the nearest to n? (a) 3 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7cd (base 15) to base 13\nAnswer: a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 6*z - 616. Give j(23).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2123002 (base 4) to base 14\nAnswer: 388a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402113 (base 5) in base 4?\nAnswer: -12323320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -259*z + 5. Let w be r(1). Let h = w - -673. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (68 - (21 + -83))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11519, -11514, -11509, -11504, -11499?\n\"Answer: 5*m - 11524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -16*k - 25. Calculate the lowest common multiple of 4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y - 4*x + 700800016, -2*x + 700800008 = 2*y. Suppose 4*v + 4*v + y = 0. What is v rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4499 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7698 and 5226.414.\nAnswer: -2471.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-9 + 8 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8586737.\nAnswer: 8586737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 320100000 rounded to the nearest 1000000?\nAnswer: 320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 10*o + 2. Let r be k(-10). Let y be r\/(7\/(63\/6)). Solve 2*i + 10 = -4*x, -x - y*x = 3*i + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 71 + 6. Let h = -4 + 6. Let d = z - h. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -94, -128, -146, -142?\n\"Answer: f**3 - f**2 - 48*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27646 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19666.518 months in millennia?\nAnswer: 1.6388765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 9, j: 3, k: 2}. What is prob of sequence jkjl?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/12 + 5*u**3\/3 + 4*u**2. Let d be z(5). Is (2 - 12)*(-4 - d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29814 take away 30389?\nAnswer: -60203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxyx when four letters picked without replacement from {y: 8, x: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73407395 a multiple of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 8*c**2 - c. Let v be m(-8). Let u be 4\/v - 52\/(-8). Find the second derivative of 9*p**3 - 18*p**3 + 3*p + 13*p**3 - u*p wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) - 13010\/(-2814). Let w = d - 2\/469. Calculate the common denominator of 1\/2 + (-61)\/4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/6 + 55*x**2\/2 - 6*x + 38. Let s(j) be the first derivative of h(j). Let k(q) = q**2. Calculate s(k(b)).\nAnswer: b**2 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 29 = 5*m. Suppose 4*b = -8, -51 = m*u - 10*u + 3*b. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 976 divide 283040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/70 - l**4\/14 + 4*l**2\/7 + 54*l. Determine b so that p(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11009?\nAnswer: 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41716, -41715, -41714, -41713, -41712?\n\"Answer: o - 41717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36705*m**6 - 6*m**4 + m**2 + 261350*m.\nAnswer: -4404600*m**3 - 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(77\/63) - -87. Let j(o) = o**2 - o + 1. Let g be j(-3). Calculate the greatest common factor of i and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 28*q + 28*q.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/6)\/((-84)\/18)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 18*h - 42. Determine f(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313947.\nAnswer: 3, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 10:36 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101100 (base 2) in base 3?\nAnswer: 102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -316*l**3*r - 12*l**3 + 269*l**2*r - 13*l**2 + 54*l - 1 wrt r?\nAnswer: -316*l**3 + 269*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)*p)\/p*p*p**0*p*(p\/p**(-3\/5))\/p**2 assuming p is positive.\nAnswer: p**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwqqqwflqllwqwl. Give prob of sequence bwqf.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 2 + sqrt(425) + -2 + sqrt(425) + -2 + sqrt(425)*1)*3*-5)**2 + 0.\nAnswer: -18000*sqrt(17) + 1530900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 5*v + 1. What are the prime factors of u(14)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*(-175)\/385\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5069 - 8197*y - 5069.\nAnswer: -8197*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5123894 divided by -529?\nAnswer: -9686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w + 242 = 305 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)\/(-7 + 110\/15). Suppose -2*s - 3*z - 798131 = -s, -3*s - x*z = 2394369. Let i = -508119 - s. Round i to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 134*r. Let h(u) = 2*u**2. What is h(v(k))?\nAnswer: 2*k**4 + 536*k**3 + 35912*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2936343323\/4929 - 595728. Calculate the common denominator of q and 37\/159.\nAnswer: 4929","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = 20. Suppose v*h - 17 = -7. Find the second derivative of -24*o**2 - 3*o + o**2 + 14*o**h - 32*o**2 - 3 wrt o.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37834 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309451 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*v, 3*v - 3*z = -v + 1. Let j(a) = a - 8 + 1 - a**2 + v + 7. Calculate j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15)*(-4805)\/7688*-10?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -194 - -191. What is the smallest value in 1\/6, v, -1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7*i*i*i**(-9)*i)**(4\/3))**(-15) assuming i is positive.\nAnswer: i**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - -6*sqrt(24)) + sqrt(12)\/sqrt(32))\/(sqrt(3) - (sqrt(75) + sqrt(75)*-1) - -6*(sqrt(12) + sqrt(3))).\nAnswer: 53*sqrt(2)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*t - 21, -3*t + 9 + 8 = 5*n. Let y(j) = j. Let o(r) = -16*r - 1. Let d(l) = -o(l) - 4*y(l). Let h be d(n). Solve -2*k + 3 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94594, 189373, 284332, 379471, 474790?\nAnswer: 570289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 5*f**2 + 6*f**2 - 13*f to w*f + m*f**2 + c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*z = 366 - 375, 39 = 4*n - 5*z. Which is the nearest to n? (a) -0.3 (b) -1\/2 (c) -48 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - q**3 + 63*q - 63*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 1?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167801?\nAnswer: 7, 13, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -58. Solve y - d + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16214.8941 rounded to 0 decimal places?\nAnswer: -16215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 28. Let r be -2 - (-29 + (1 - 3))*1. Let c be m(r). Is c greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 23*l + 40. Let b be t(-9). Suppose -2*n = b*d - 2084, 4*n - n + 521 = d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + -0.48. What is the closest to -0.1 in y, 0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.48783 * -91.\nAnswer: -44.39253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 807, 1614, 2421, 3228, 4035, 4842?\n\"Answer: 807*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - (-4)\/(-3). Let m(f) = 31*f + 80. Calculate the lowest common multiple of 2 + (u - 0) + 21 and m(-2).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3 + 44*a**2*l**2 - 296*l**2 wrt a?\nAnswer: -6*a**2 + 88*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8, -3*m - 5*o = 3696469 + 241167. Let k = m - -884552. Round k to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + -131. Put q, 5, -4, 2 in decreasing order.\nAnswer: 5, q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvxauxsatua. Give prob of sequence au.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/120 + h**5\/10 - h**4\/8 + h**3\/2 - 277*h**2. Let d(l) = 2*l**3 + 7*l**2 - 4*l + 4. Calculate -3*d(z) + 4*r(z).\nAnswer: -2*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946421101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {j: 2, z: 2, p: 1, t: 1, l: 2, e: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*a + 130, -4*s = 3*a - 337 + 135. Let g = a - 34. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -9804?\nAnswer: 68628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26950 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 2, y: 2, u: 1}. Give prob of sequence anu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1220216g to micrograms.\nAnswer: 122021.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 575778\/5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 + 48*q**2 + 84*q - 392 = 0. What is q?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 - 137\/9) + (-4)\/(-18). Sort y, -11, -3 in increasing order.\nAnswer: -11, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d, -3*i + 3 = 3*d - 2*d. Suppose i*r - 71 = g + 34, -4*g = 3*r - 141. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsoq when four letters picked without replacement from {q: 1, u: 3, o: 5, d: 2, j: 1, s: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40809 (base 11) to base 8.\nAnswer: -164225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -213110?\nAnswer: -213104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257434916 by -64358729.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 h, and 1 v when four letters picked without replacement from {m: 9, v: 4, o: 4, h: 3}?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3 + 8*x**2 - 198*x wrt x.\nAnswer: 12*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.51757303 to 3 dps.\nAnswer: 25.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.12 - 3.88. Is n > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.753 + 0.377. What is f rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 1770*d**2 - 3528*d = 0.\nAnswer: 0, 2, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 2*v. Let o = 8 - v. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - c + 1. Let l be p(1). Let w be ((-9)\/1)\/(l\/2). What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 337440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) -0.1 (c) -4 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 9*q**2 - 16*q + 3. Let w be c(-11). Let m = -65 - w. Let t = -1 + 1. Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(486) - sqrt(6))\/(sqrt(150)\/sqrt(3)) + (-1*sqrt(24)\/sqrt(2))\/(sqrt(24)\/sqrt(216)))**2.\nAnswer: 1323\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 9*z - 10422. What is n(-102)?\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5923395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 3*x + x**2)*(-21*x**2 + 88*x**2 + 78*x**2) + 2*x**4 + x**4 - 5*x**4 as u*x**2 + v + o*x**4 + c*x**3 + l*x and give o.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1646*w - 1642*w + 3288*w + 127*w**3.\nAnswer: 127*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let f be ((-18)\/(-4))\/(4\/8). What is the remainder when 8\/(-36) - (-47)\/f is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 + d**2 - 5*d + 6. Give c(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 75 = -5*g, -3*p - 8 = -5*g + 42. Does 12 divide (-2782)\/(-12) + p\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -313599 and 3.6?\nAnswer: -1128956.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.863ml in litres?\nAnswer: 0.391863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 13*f = 3780. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*s + 4*w = 354*s + 12, -14 = -4*s + w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11*((-3)\/(-3) + 10). Let k = -1015 + 783. Let u = c - k. What are the prime factors of u?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46317.271 to the nearest 10.\nAnswer: -46320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-98608308.\nAnswer: -493041540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**5 - 2*k**5 + 15910*k**2 + 12*k**3 - 15919*k**2 - 6*k + 9*k**4 = 0.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -28 + 34. Let c be 2\/(2\/(1*4)). Solve -i*j + c*t - 17 = -5, -2*t - 16 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 44. Solve i*p - 3*p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2.505\nAnswer: -5.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43593 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23*(-840)\/(-35)*26\/208\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79683 and 24?\nAnswer: 637464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from jvvrjdvrujujuvjjuuv.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111202 (base 3) in base 4?\nAnswer: -130211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 13 + 8)*(n**2 - 4*n**2 + 4*n**2) + (-180 + 2*n + 180)*(n - 3*n + 4*n + (-6*n + 3*n + 0*n)*(2 - 2 + 1) + n - 4*n - n).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6308369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1584950.965 - -1589419. Let b = d + -4447. Let k = 21 - b. What is k rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-6)\/15)*12\/(-345)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15*11\/(385\/(-112)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 5*p + 2*p. Let f(i) = 20696*i - 10325*i - 10353*i. What is f(a(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 + 142. What is the closest to 0.1 in -2, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31169.65209 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 8*v**2 - 4*v - 24. Let g be j(9). Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232*r + 18948 + 20448 - 13524 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/234*4\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 3*a**2 - 3*a**2 + 4*a**3 - 2*a**3 + 2*a**3 + 0 + 0 - a**3 + (-3*a + 4*a - 2*a)*(3*a**2 + a**2 - 2*a**2) - 2*a**3 + 0 + 0.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2340*s - 2228. Is 22 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 9:23 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, -1.4, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -13170?\nAnswer: -13159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -48, -79, -110, -141?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 127 = 53. What is the greatest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/1980 - h**5\/330 - 8*h**3\/3 + h. Let n(v) be the second derivative of d(v). Factor n(r).\nAnswer: 2*r*(r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 8*a**2 - 7. What is r(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let n(g) = -g**2 - 10*g - 17. What is n(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -320 and -6.62.\nAnswer: 2118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-6 + 23)) + -1 + (72 - (3 + -5))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 - 4*c**2 - c**2)*(-53 + 58 - 4*c**2 + 2*c**2) + 4230 - 101*c**4 - 4230 to r*c + o*c**2 + x + q*c**4 + d*c**3 and give q.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(35\/6) assuming j is positive.\nAnswer: j**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (sqrt(396) - (-2*sqrt(396) + sqrt(396))) + -3 + sqrt(11) + (sqrt(99) - (sqrt(99) + sqrt(99)*-1)) + sqrt(11) + -1)**2.\nAnswer: -184*sqrt(11) + 5835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271*w**3 + 2*w**2 + 12 wrt w.\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 32 - 24 = -4*d, 3*d + 4*n = 42. Let g = d - 9. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59342894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from iexibehh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 2*c**2 - 10*c**2 + (3 - 3 - 3)*(5*c**2 - 3*c**2 - 3*c**2) + (7*c - 3*c - 3*c)*(8*c - 4 + 4).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10*h*h\/h**(-3) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669 by 793695.\nAnswer: 223\/264565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7912*w**2 + 140*w + 9618. Let b(x) = 7914*x**2 - 105*x - 9618. Let c(v) = -4*b(v) - 3*r(v). What is the derivative of c(q) wrt q?\nAnswer: -15840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 4*t - 6. Calculate the remainder when c(-11) is divided by (-284)\/(-12) - 3\/(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29809 + 2650655750?\nAnswer: 2650655749.70191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1154580 by 84.\nAnswer: -13745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245a64 (base 14) to base 9.\nAnswer: -2306832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-1\/10))\/y)\/y**(-1\/12))**(9\/2)\/((y\/((y*y**(-2\/3)\/y)\/y*y))**(-18)*y*y**(-6)*y*(y\/((y\/(y*y\/(y\/y**(-4))))\/y))\/y) assuming y is positive.\nAnswer: y**(1693\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 362438087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*c = -143*c - 150*c + 48 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 1.9. What is the closest to 1\/4 in j, -5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.943 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.431 and 0.22.\nAnswer: 6.25482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-78)\/14)\/(11110\/462 - 24)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -45425\nAnswer: -18170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 16) to base 4\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -z - t - t, -5*t - 20 = 0. Find the first derivative of 1 + 0 + 2*p + z*p - p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v**5 - 4*v**3 - 6*v**2 + 4*v. Let f(d) = 12*d**5 + 3*d**3 + 5*d**2 - 3*d. Let z(b) = 4*f(b) + 3*h(b). What is the third derivative of z(x) wrt x?\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -1) + (-10)\/2. Sort 5, o, 1\/5 in ascending order.\nAnswer: o, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70454929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6020, 12039, 18058, 24077, 30096?\n\"Answer: 6019*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5947126 is divided by 57739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6\/13 (b) -0.03656 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 457*v**2 - 137*v**2 + 681*v**2.\nAnswer: 87*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5351773s?\nAnswer: 535177300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355 + 1355 + -5 + 3 + 41 + 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7337855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + r = -31, 57*r - 33 = -q + 61*r. Let c(n) = -7 - 1292*n - n**3 + q*n**2 + 1294*n + 0*n**3 - 6*n**2. Determine c(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 5:01 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**4*r + 71299*j**3*r**2 + 64*r**2 - 21*r - 2 wrt j?\nAnswer: 4*j**3*r + 213897*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - (3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29*(-17*23\/(-391))\/5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 + -1.4. Let r = 1.3 - 1.47. Let q = -4.83 + r. Put 4, q, i in increasing order.\nAnswer: q, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 449, 660, 871, 1082?\n\"Answer: 211*r + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4210*m**4 + 10*m**3 + 3*m**2 - m + 172153?\nAnswer: -101040*m + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2225680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (6*(-4 + sqrt(500)) - (sqrt(20)*-2 + -3 + (-2*sqrt(20)*3 - sqrt(20))))).\nAnswer: -468*sqrt(5) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - sqrt(80)*-1)*-4)**2*-4 + 4 + sqrt(80) + -3 + sqrt(80) + 2.\nAnswer: -20477 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 6.\nAnswer: -5, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 5, 1\/8, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 + 209. What are the prime factors of u?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - a**2 - 5*a - 7 + 0*a + 4*a**2. Let r(n) be the second derivative of -5\/6*n**3 - 21 + 2*n - 3*n**2 + 1\/6*n**4. Calculate 4*r(c) - 3*u(c).\nAnswer: -c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let g = 0.3 - 0.26. Let t = g - 0.44. Which is the biggest value? (a) -3\/2 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 321*t**2 + 35*t + 40998 with respect to t.\nAnswer: 642*t + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 613 = -45 + 152 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-3 - 0))\/((-4)\/16). What is the biggest value in u, -3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m*m*m**(-1\/5))\/m)\/(m*m**(-3)))\/(m**(-1))**23 assuming m is positive.\nAnswer: m**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1995798 or 1995793?\nAnswer: 1995793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7399.9992333 + -7400. Round j to 5 dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 2\/15, 1.04, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1304 and 158252136?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 77\/2 of a microgram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 82 - 83 = 0. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.147987ng to micrograms.\nAnswer: 0.003147987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -653461.\nAnswer: -83\/653461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 25*f**3 - 4*f**2 + 2*f. Let i be u(1). Let v = -19 + i. Let p(d) = -d**3 + 3*d**2 + 4*d - 4. Determine p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:07 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36\/14 + (-184)\/28 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186896786 + -186896739.9999962. Let w = c + -46. What is w rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 11:05 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 952 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2749, -1\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 72*w\/7 + 152\/7.\nAnswer: -2*(w - 38)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*2) + -3 - (sqrt(48) + -5 - (sqrt(108) + 0 + sqrt(108))**2).\nAnswer: -7*sqrt(3)\/2 + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**(-4\/13)\/(q**0)**(-38))\/(q*q**1*q*q**(1\/2))**(-14) assuming q is positive.\nAnswer: q**(638\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40864277 plus 0.1442?\nAnswer: -40864276.8558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Are -26.98 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9) + 1 + -1 - (93 + -26)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 6*y + 8. Let h = -7 + 13. What is u(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4\/7, -8\/20907?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 118*k + 904. Let g be x(-50). Let w be 6\/3 + (-28)\/(-2). Solve -w + 28 = g*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**6\/3 - 97*k**4 + 352*k**3\/3 - 332. Find the third derivative of l(c) wrt c.\nAnswer: -120*c**2 - 2328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3547874 is divided by 3547599?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c**3 - 4*c - 5. Suppose 32*s + 5 = 27*s. Is 2 a factor of o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 0*k**2 + 4*k**2. Let w(j) = -j. Let h(q) = -52*q. Let c = 67 + -106. Let u(x) = c*w(x) + h(x). Give u(b(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -9306306 and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1077\/41975 + -1\/575. Let s = -43\/1095 + y. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - i**2)*(-1 + 6 - 3)*(-23 + 23 - 10*i).\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 332, -2, 0.3 in increasing order.\nAnswer: -2, 0.3, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31119 and 327129.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*d + 512*d - 3634 = 211*d for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 400, 1339, 3174, 6205, 10732, 17055?\n\"Answer: 50*y**3 - 2*y**2 - y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -666 (b) -0.5 (c) 139 (d) 136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 42*r + 16*r = 0. Suppose -4*c - 21 - 31 = 0. Put 4, r, 3, c in decreasing order.\nAnswer: 4, 3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2263*i - 4*i**2 + 3145*i - 4*i**2.\nAnswer: -8*i**2 + 882*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -29. Let d = o - 7. Solve -3*p = 4*i + 13, -i + d*p = -2*i + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + 7*a**4\/8 - 3*a**3 - 2*a**2 + 8*a. Let t be f(17). Are t and 52 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 13*n - 46. Let b = 355 + -345. List the prime factors of r(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 5*f - f)*(-1 - 2 + 4) + 2*f + 2*f - 3*f as n*f + h and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.64 - 7.6595. Let i = m + 7.1156. Let h = i - 9.1. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598536 (base 10) to base 16.\nAnswer: 92208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 - 1)*6\/(-4) and (-1)\/((-8)\/74) + 5\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + y + 2. Let m be x(-1). Sort m, -1, 1 in descending order.\nAnswer: m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - (-2 + (3 - 4) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*o + 288*o = 170 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19437 and 465.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -234 + 24. What are the prime factors of k?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 349192 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Suppose s - 3 = m. Which is the second biggest value? (a) -0.2 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from ccttcccc.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 11*s**4\/4 - 17*s**2\/2 - 8*s - 30. Let p(x) = -4*x**3 + 6*x + 3. What is 6*n(y) + 17*p(y)?\nAnswer: -2*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 51. Let y be -1*(6\/(-12) - -1)*0. Sort y, -65, i in ascending order.\nAnswer: -65, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15029 (base 10) to base 14.\nAnswer: -5697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2419856 and 44464854?\nAnswer: 355718832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-144 + (-20)\/5)*-3. Suppose -5*l + 701 + c = 0. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -f - 0*u - 4*u, -3*u = -f - 11. Solve -f*b - 8 = 0, 2*c = -2*c + 2*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 + 90411?\nAnswer: 90436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 267844.\nAnswer: 803532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.23 - 2.1. Let f = -0.67 - h. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 59535*f**2 - 952752*f - 3811264.\nAnswer: (f - 59551)*(f + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -83, -238, -539, -1034?\n\"Answer: -8*u**3 - u**2 + 2*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0.058, 25 in decreasing order.\nAnswer: 25, 0.06, 0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8472331261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 36, 43?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -880, -1916, -4694, -10084, -18956?\n\"Answer: -145*i**3 - i**2 - 18*i - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from yjyjjjjjjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 5*d**2 + 1. Let i(b) = -3*b**3 + b + 1. Determine i(r) + z(r).\nAnswer: -r**3 + 5*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4))**(-3\/2))**(-11\/3)*(s\/(s**(-4)\/s)*s**(-7))\/(s**(2\/5)\/s)**(-1\/51) assuming s is positive.\nAnswer: s**(-1956\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -69. Let i = 137 + -141. What is the fourth biggest value in 3, t, i, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7)**(2\/9) assuming f is positive.\nAnswer: f**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-10 + 3) - -6) + -5 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -25 (b) -1 (c) -4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n + 5. Let q = 9 - n. Let s = q - 6. Solve -a = a + s*v, 6 = a - 4*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112534558547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 14*g - 200 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -40*x + 354. Solve -12*u + x*u = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-204)*368\/(-138)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48040247.4 - -8191.\nAnswer: -48032056.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*c**2*r**2 + 976*c**2*r - 38*c**2 + 845*c*r**2 - 4*c - 18*r wrt c.\nAnswer: 80*r**2 + 1952*r - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(7*j**2 - 2*j**2 - 3*j**2) - 345*j**2 - 2*j + 0 + 364*j**2 + 1.\nAnswer: 21*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**3 - 6*d + 5. Let x(u) = -u**3 - u - 1. Determine t(q) + 5*x(q).\nAnswer: 2*q**3 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9139 + -9135. Put 105, 0, z in increasing order.\nAnswer: 0, z, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 0 = -5*x. Suppose -x*g + 14 = -3*g. Let n = 568 + -570. Sort -1, g, n in decreasing order.\nAnswer: g, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 7) to base 2.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*m - 9 - 12, 5*m = -3*z + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 192\/(-20) + (12\/(-5))\/(-4). List the prime factors of (12639\/(-22))\/(h\/12).\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0 - 6*x**2 + 1\/6*x**3 + 0*x + 0*x**4 - 1\/30*x**5. Find the first derivative of n(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: d42 (base 14) to base 8\nAnswer: 5056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5 = v. Let u = -9 + 5. Let q = 39.7 + -39.3. What is the closest to v in 0.2, u, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.94 + 86420.3055027.\nAnswer: 86423.2455027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8693 + 8696. Let g(m) be the second derivative of -f*m + 0 + 0*m**2 - 1\/6*m**3. Let v(b) = 16*b**2. What is g(v(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -12, -7*t - 26 = -2*t + z. Let w(a) = a**2 + 7*a + 8. Let h be w(t). Let p be 1 - 15\/6*2. Sort h, 1, p.\nAnswer: p, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.9 + -2.1. Which is smaller: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:46 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 873 divide 1279675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 1. Let n(b) = 3*b + 2. Let p be n(-1). Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:05 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-357)*(18\/56)\/((-24)\/(-28))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-2*f - 2*f + 2*f) + 21*f - 1 - 10 + 15 + (-2 + 5 - 1)*(0*f - 4*f + 3*f).\nAnswer: 15*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 265\/1028 - (-1)\/(-4). Let y = 83822 + -83823. Is y >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 2*k + 3*n, 9*k - 3*n + 6*n + 1450 = 1306 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 480549097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001010101 + -2212?\nAnswer: -2001020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**7\/70 + r**6\/40 + 3*r**5\/4 - 9*r**4\/8 - 27*r**3 - 23*r**2 - 4*r. Find t such that o(t) = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + 257 - 257 + (2 + 0 - 4)*(-4*b**3 + 0*b**3 + 3*b**3) - 126*b**2 + 126*b**2 + 31*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/149990 and -77\/216495.\nAnswer: 22948470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 58*j - 54*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10919 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 151502944 and 0.5.\nAnswer: 151502944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 64\/3*a**3 - 4\/3*a**5 - 8\/3*a**2 + 8\/3*a**4 + 0 - 20*a = 0?\nAnswer: -3, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 155 - 145. Let v = 339 - 11867\/35. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/2 + -2)*105. Let u = 70 - z. Let l be 8\/25*u\/14. What is the third smallest value in -2, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 34\/5. Let w = h - 0. Let d = 4.93 - -0.07. Which is the nearest to w? (a) -3 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/21583 or -1?\nAnswer: -5\/21583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315876 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 + 3*q + 14. Give u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 315241411?\nAnswer: -315241422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 5981 + 0*d**2 + 4*d**2 - 4*d**2 in the form f + a*d + p*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -9, -2 in ascending order.\nAnswer: -9, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 26 - (-748 - -722).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 344*j**2 + 8740*j - 69312 = 0.\nAnswer: 19, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:00 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-14)*28\/3. Let z = -19 + k. Solve z*j = 5*w + 25, 2*j = -5*w - 2*j - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 - 6*w + 33. Calculate the lowest common multiple of r(0) and 7212.\nAnswer: 79332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140894 - 15885. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 + (-32 - -38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2918528 by -364816.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2776550, -2776552, -2776554, -2776556?\nAnswer: -2776558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 17325*i**2 - 22 - 3265*i**2 + 20341*i**2.\nAnswer: 34401*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.3 times 0.0013109?\nAnswer: 0.08429087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f - 2*f + 2*f)*(-71 - 110 + 13) - 5 + 5 + 4*f)*(-6*f + 0*f + 2*f).\nAnswer: -688*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) + -2*sqrt(1088))) + sqrt(1088) + sqrt(1088) + 1 - sqrt(1088) - sqrt(1088) - (sqrt(1088)*-1 + 3))**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1001011001 (base 2) to base 5\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0 - 4)*1. Let t(i) = -5 - i + 5 - 2 - i. What is t(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -1. Let s(v) = -10*v - 3. Let b be s(-3). Suppose -b - 33 = -4*f. Calculate the remainder when r is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u**(-1)\/u)))**(-12\/13))**5 assuming u is positive.\nAnswer: u**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 9*s = 96. Let d be s\/48 + -1 + 128\/(-6). Is 7 a factor of (-3)\/(33\/(-229)) + (-4)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, g: 1, u: 1, j: 1}. Give prob of sequence aug.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 8*h - s + 5 = 0, -h - 2*s + 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -2. Let n be -1*(-3 + 0 - -2). Let q be n - 2 - (1 + 3). Sort q, m, -2.\nAnswer: q, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let a = -1607 - -1612. Let l(w) be the third derivative of 0*w**3 + 0*w + 1\/60*w**5 + 0*w**4 + 0 - a*w**2. Give l(i(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/23 - 478*h**4\/23 + 27704*h**3\/23 + 917440*h**2\/23 - 99528704*h\/23 + 880419040\/23 = 0.\nAnswer: -53, 10, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16724 and 36556?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*j**2 + 3 - 6 - 42*j**2 to t + o*j + n*j**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 24) + 16 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:56 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94353969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532744 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1601 * 1.25\nAnswer: -2001.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0167856 rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(8))**2 + 0.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40874*b**3 - 5*b**2 + 73323*b + 48 wrt b.\nAnswer: -245244*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j + 4*r = 6*r, 61*j - 66*j + r + 11 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let t(i) = -2 + 0*i + 0*i + i**3 - 2*i + 3*i**2. Let v be t(-3). Let z(l) = -v*l**2 + 3*l**2 - l**2. Determine a(z(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 1115, 4123, 10009, 19739?\nAnswer: 34279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -37*s. Let i be q(-1). Suppose -42*y - 750 = -i*y. Let w = y + 303. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 30*q**2. Let p(v) be the first derivative of 6*v**2 - 199. Calculate k(p(z)).\nAnswer: 4320*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045245653 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h - 0. Suppose -4*q = -h*q - 5. Let a be 1\/4 + 1 + q\/(-4). Solve 0 = -a*b + b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*u + 480 = -136*u - 384. Let v be (-2 - -14)*(-2)\/(-2). Calculate the greatest common factor of v and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569486 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: Let r(v) = v**3 + 4*v**2 - 5*v - 6. Let o be r(-5). Let h = -54 - o. Let l = h + 96. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20056*r. Let l(s) = s**2. Calculate i(l(a)).\nAnswer: 20056*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 13*q + 16. Let j be d(14). Find the second derivative of 2*k**j - 5*k - 2*k**2 - 4*k**2 wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.0911\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 - 5 = 0. Let f = -1\/61 - -64\/183. Which is the third biggest value? (a) f (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 15 = 0, 670*d = -i + 665*d - 26 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/2))*f**(-1\/5))\/((f**5*f)\/((f\/((f\/(f*f**(-5)*f))\/f))\/f*f)))\/((f**(-1\/4))**(-8\/13))**23 assuming f is positive.\nAnswer: f**(-1591\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (13 - 3)) + 7 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 34. What is the highest common factor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.41*-11136\nAnswer: 4565.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 11}. Give prob of sequence eo.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = 0, 4*b = 2*z + z - 310. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**3\/3 + 21*u**2\/2 - 2839. Let k(w) = -4*w. Let d(s) = 3*s. Let h(v) = 6*d(v) + 4*k(v). Give q(h(p)).\nAnswer: -8*p**2 + 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 2*s**5\/45 + 103*s**4\/72 - 13*s**3\/18 + 2*s**2 - 214. Factor c(i).\nAnswer: (i + 13)*(8*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18471, 5 in decreasing order.\nAnswer: 18471, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 6345244?\nAnswer: -6345240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 12*p. Let d be w(12). Suppose -7*q + 4*q = d. Suppose q = -5*h + 49 - 9. Solve h = 4*j - 0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 8) in base 5?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 2*v + 2*v + (-v - 3*v + 5*v)*(6*v**4 - v**4 - 4*v**4) + v**5 - 1 + 1 - 4*v**5 - 5*v**5 - 5*v**5.\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6359 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s - 112 = -118*s. Suppose -12*h = -20 + s. Suppose -4*k = -7*k. Which is the closest to 1? (a) k (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 68\/791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*u - 48, -44884*j + u + 36 = -44888*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 630\/(-49)*63\/(-45)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-418)\/55)\/19)\/(2\/(-20)). Let a(r) be the first derivative of 0*r**2 - 12 + 0*r**3 - 9*r + 0*r**f - 12\/5*r**5. Differentiate a(k) wrt k.\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 35. Let a be p(11). Differentiate 15*m**a + 8*m - 22*m**2 + 10*m**2 - 25 wrt m.\nAnswer: 6*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1624 and -43\/20?\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -264*g - 1303. What is h(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425770 is divided by 141792?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*i + 141*i = -8056 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -12. Suppose -8*m + a*m = 390. Calculate the common denominator of (m\/(-208))\/((-1)\/(-68)) and 39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/(-6)*(-6)\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b. Let x(o) = 31692*o + 100. Calculate x(n(u)).\nAnswer: 95076*u + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-558)\/(-6) - 0\/((-20)\/(-5)) and 48?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 + 171*d - 635. Determine k(9).\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405642374 to the power of 1\/2, to the nearest integer?\nAnswer: 20141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*f**3 + 3 - 3*f - f**3 + 3*f + (2*f + f - f)*(0*f**2 + f**2 - 3*f**2) - 72*f**3 - 80*f**3 + 40*f**3 as r + t*f**3 + x*f**2 + k*f and give t.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142731637 and 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 2. Let b = 590 - 586. Give v(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -29. Calculate the remainder when 69 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 1890*x - 1892.\nAnswer: 2*(x - 1)*(x + 946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) -5283 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -32. Suppose 60 = h - 3*p, w = -3*p - 5. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.7 + 114.68. Which is the closest to -1? (a) y (b) 2\/3 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((200\/(-80))\/(10\/(-34)))\/(14\/(308\/33))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 786 + -397. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 26*q + 2. Let z(k) = k**2 + 26*k - 3. Let s(g) = -3*b(g) - 2*z(g). Factor s(d).\nAnswer: d*(d + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48307698 to the power of 1\/2, to the nearest integer?\nAnswer: 6950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12329077 to the power of 1\/2, to the nearest integer?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 438 + 439 - 16*q**2 in the form o + w*q**2 + l*q and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66850 and -20?\nAnswer: 1337000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-27 + 10) - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*q - 278*q - 231*q - 85*q - 174*q.\nAnswer: -362*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 14*n**2 + 148*n + 36. Let j be u(19). What is the highest common divisor of j and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7277 is divided by 1039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1440 - -4012. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535488.638 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 0)*(-1 + 0 - 1) + 4 + 3 - 5)*(2 + 2 - 3)*(-12*b**2 + 12*b**2 + 5*b**3) in the form y*b**3 + c*b**2 + i*b + s and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*n - 0*n - 296, 5*h - 735 = -5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/10 + 1)*5. Suppose 3*q = 2*q. Let m = f + q. What is the least common multiple of 16 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265.\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/9493769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*s - 1117 + 5733 = -1388. Let g(o) = 28*o - 3. What is the remainder when g(9) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 1 (c) -6 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 15*l**2 - 12*l - 1. Let q be u(14). Let f = q + -27. Calculate the remainder when (-3 + (f - -2))*-13 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569091863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(-1345)\/1345?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160910 divided by 1.\nAnswer: -160910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 1602840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 91. Let q be h(32). Suppose -t + 2*y + 6 = 0, -q*t - 5*y + 4*y = -19. Let w be 2*1*2\/4. Solve o + t - w = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8764649 hours in seconds?\nAnswer: 3155.27364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*j*u*v**2 - 2*j*u*v - 147*j*u + 11*j*v**3 - 31*u*v**3 + 2*v**3 wrt v?\nAnswer: 66*j - 186*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.3 (b) -5 (c) -2\/7 (d) 15 (e) 4 (f) -28 (g) 4.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 n, and 1 h when four letters picked without replacement from {t: 2, x: 2, h: 1, n: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:24 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -936*x**2*z**3 + 15231*x**2*z**2 + 5*x*z**3 + 658*x + 15*z**2 + 3 wrt x?\nAnswer: -1872*z**3 + 30462*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 821772.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 6991088?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = h. Let q = -2 - h. Suppose -d - q = -19. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3616241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1060 and 9274682?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*p*u - 17089*i*u**3 + i - 25*p*u**3 + 1611*p*u**2 + 129*p wrt u?\nAnswer: -102534*i - 150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Let w be (5\/(l\/(-4)))\/2. What is the units digit of w\/7 + (-58)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472163335 to the power of 1\/2, to the nearest integer?\nAnswer: 58925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 - 43*y + 6. Let k be u(-6). Calculate the highest common factor of 4920 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*m**3*p - 2*d*m**2*p - 4*d*m - 8*m**3*p**3 - 2*m**3*p + 98*m**2*p**3 + 4*m*p**3 wrt m?\nAnswer: -18*d*p - 48*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 716*r**2 + 452*r + 455*r + 5143*r**2 - 907*r to the form u*r**2 + s + d*r and give u.\nAnswer: 5859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -399928*i*o**2 - 2*i*o + 15*i - 499633*o**2 + 6 wrt i?\nAnswer: -399928*o**2 - 2*o + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8716 is divided by 1129.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2394 and 32\/247.\nAnswer: 31122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01731327 rounded to five decimal places?\nAnswer: -0.01731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -4.\nAnswer: -4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 9. Let j = 2 - n. What is the third biggest value in j, -4\/5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0\/(2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -50*q - 771. Determine y(-16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7 (b) 3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 135?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018413011 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddqvdsdddbduvqdqvdd. What is prob of sequence uusv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2 and -15\/368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 155*v**4 - 985488*v**3 + 1569375924*v**2 - 9360637504*v - 121043712 = 0.\nAnswer: -2\/155, 6, 3176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 380223657 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 - 3961668783567.\nAnswer: -3961668783564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 12. Which is the closest to 1\/3? (a) -13 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 11. What is the smallest common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87475 divided by -17495\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:15 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k = -4*s, -3*k - 4*s + 7 - 12 = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 - -1 - (-3 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/200 and 17\/2135?\nAnswer: 85400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 - 31235*q**2 + 31426*q**2 + 8.\nAnswer: 191*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*175\/(-42)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -479818 and -9.08?\nAnswer: 4356747.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3670 - -7505. List the prime factors of y.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.3 (b) -3 (c) 3\/4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/(-2))\/(49\/14 + -4). List the prime factors of 1700\/k - (-16)\/(-28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 73. Let f(h) = -h**2 + 5*h + 17. Let a be f(s). Let k(x) = -12988 + 7*x**a - x**2 + 12988. Determine k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 1166*m - 6988.\nAnswer: -2*(m + 6)*(m + 5241)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01525 in 0.3, 1, 188, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/7, -0.07, 0.4, -3, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 43\/28. Let a be (-25)\/(-98) + (-2 - -1). Let d = a - 1\/196. What is the second smallest value in d, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 9 - 5*p - 12*p + 13*p. Let s be g(-5). Suppose -3*v + u = 4*u - 189, u = 2*v - s. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (436\/144 - (-2)\/9)*236. Suppose 157 = -5*d + f. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439686 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -213891 divided by 14?\nAnswer: -213891\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 60*c + 1. Let m be b(1). Suppose 0 = -g - 1, m = -0*u + 4*u - g. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 28 = -13*v. Let o = 1 - -1. What is the remainder when v is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 + (1 + -2)*3. Solve 4*p = -5*t - c, 2*p - 2*t - 8 = 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27946*s = 28042*s - 384 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -336 + 108. Is p bigger than -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20843\/23348 - 5\/449. Calculate the common denominator of q and -47\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*-4)\/sqrt(2))\/sqrt(6)*6 - (0 + sqrt(7)*-3 + 5 + -3))**2.\nAnswer: 60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46565*k**3 - 183*k**2 + 27187932?\nAnswer: 139695*k**2 - 366*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 6*n + 157 - 321 + 168.\nAnswer: -12*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let c = -3 + 7. Let l be f(c). Suppose 4*h + 4 = 2*i, h + 2 = l*i - 4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7674 + 7674. Let t(p) be the third derivative of 5\/12*p**4 - 5\/336*p**8 + 5\/12*p**5 + 1\/8*p**6 - 1\/42*p**7 + r*p**3 + 0*p + 20*p**2 + 0. Factor t(m).\nAnswer: -5*m*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 8, 3, -3\/17?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h - 1. Let t(l) = -7*l**2 + 6*l - 6. Let p = 1 - 7. Suppose c + 9 = 5*g, 2*g + 30 = 4*c + 4*g. Let n = -5 + c. What is n*t(d) + p*s(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 177835260 - -1093.9\nAnswer: 177836353.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**5 - 61*k**3 + 590*k**2.\nAnswer: 240*k**2 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 8 (b) -4\/37 (c) -2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -5, -115\/2, 0.2, 2061 in descending order.\nAnswer: 2061, 2\/9, 0.2, -5, -115\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -3500 (c) 2.7914\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + -25433045?\nAnswer: -25433200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13337682*t**6 - 4*t**2 - 28471*t - 10 wrt t.\nAnswer: 1600521840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggguuu. What is prob of picking 1 u and 2 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (4 + -4) - 3*-8. What is the hundreds digit of -3*(150\/(-4))\/(k\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + 4 - (-13 - -7 - (-13 + 19))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 19 = 27. Suppose -5*p + 93 = -g, -2*p = -3*p - 2*g + b. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 8 = 2*t. Let y be (-366)\/((-20)\/t - 2). Suppose 9*f - y = f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 7*j - 6. Calculate x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/6, -1180, 6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**3 + 53*s**3 - 108*s**3 - 54*s**3.\nAnswer: -138*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-14) + (-642)\/14. Put x, 60, 5 in decreasing order.\nAnswer: 60, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpxwm. Give prob of sequence px.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 2. Suppose g = 1 + 3. Calculate the lowest common multiple of 5 and c(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + r - 13. Let p be b(9). Let v be (p + -3)\/(-4) - -2. Suppose 33*g = 28*g + v. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -219 and 216068 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369486 = 11*n - 15*n - 5*n. What is n rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -30*u - 1. Let s = 165 + -34. Suppose -5*h + s = -24. Calculate the remainder when j(-3) is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -294 + 196. Let x = 142 + h. Suppose -4*m + 17 - 1 = 0. What is the greatest common divisor of m and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 8*l**2 + 17*l + 28. Let r be n(10). Let x(d) = d**3 + 2*d**2 + 2*d + 1. Let a be x(-2). Let y = r - a. Which is bigger: 4\/27 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 28.11. Let c = 2.61 + l. Let f = c - 3. What is the second biggest value in -1, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:27 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/((-96)\/64)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126975, -253954, -380935, -507918, -634903, -761890, -888879?\n\"Answer: -b**2 - 126976*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 77*q**2 - 39*q - 56. Let b be u(-38). Which is smaller: b or -16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 892 + -447. What are the prime factors of z?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.72 + 19. Let g = 1.03 - m. Let s = g + -2.75. Sort -1\/3, 10, s in increasing order.\nAnswer: s, -1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 - 4*s**3 + 54*s**2 + 36*s - 405 = 0?\nAnswer: -9, -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*v**2 + 6*v**2 - 3*v - 3 - 4*v**4 + v**3 - 5*v**2 as f*v + u + c*v**4 + a*v**3 + q*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:48 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 379832428*w + 79068685 with respect to w.\nAnswer: 379832428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69364385.\nAnswer: 5, 13872877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 579734 divided by 59?\nAnswer: 9826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -35*c**2 - 301*c - 300. Let q be w(-1). Let k(t) = -t**3 - 33*t**2 + 36*t + 72. Determine k(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-8)\/84*(-3)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - 101*l**2 - 701*l - 4. Give v(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -3. Suppose g = 4*t + 7, 4*t - 5 = -5*g + h. Suppose -g*l + 2*z + 109 = 3*z, 4*l - 5*z - 158 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 + 7*n**3 + (-5*n + 3*n + 3*n)*(-4*n**2 + 0*n**2 + 5*n**2) + 0*n**3 - n**3 + 2*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-312)\/(-28) + -9)\/((-5)\/(-105)). Let k be (-1 + (-27)\/(-15))*5. Suppose g + k*r = 3*g + 8, -m = -5*g - 3*r. Solve 2*q - 4 = g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((3 + -4)\/((-2)\/(-82)))\/(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o + 5*w - 8, 0 = -5*o - 4*w + 23. Let y = -1773.08 - -1773. What is the third smallest value in y, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**3 - r**2 + 2*r + 3. Let s(q) = q**3 + 1. Let y(z) = j(z) - 4*s(z). Let f be y(1). Let i = -2 + f. What is the biggest value in -5, i, 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 8345*f + 763508.\nAnswer: (f + 92)*(f + 16598)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4255 (base 7) to base 12.\nAnswer: -a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + f = -1344. Let l = 143 + f. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t**2 + t)*(-6*t - 12*t + 2*t + (-1 + 2 + 0)*(-34*t - 63*t + 11*t)).\nAnswer: -102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 382 - 617. Let p = v + 234.52. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 6 = -3*s. Let x(m) = 6*m + 13. Does 36 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -61*q**2 - 2*q - 3. Let a(d) = -4*d. What is l(a(h))?\nAnswer: -976*h**2 + 8*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -242, -0.1, 0.4, 0.5, -2\/85, -1\/3?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -513, -2586, -6037, -10866, -17073, -24658?\n\"Answer: -689*w**2 - 6*w + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggkgekeg. What is prob of picking 2 e and 2 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2513 + -2734.8. Let u = y + 223. What is the second smallest value in u, 0.5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -390 - -528. Find the third derivative of l*u**3 - 10104 - 81*u**2 + 10104 + u**4 wrt u.\nAnswer: 24*u + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -53237*v - 159722. Calculate q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 14.36. Let z = -168.36 + p. Let k = z + 167.999851. What is k rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*m + 26. Suppose -5*v + 0*v = 5. Calculate the remainder when 49 is divided by v - (m + -3 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 214003705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 66, 70, 74, 78, 82?\n\"Answer: 4*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, -1\/6, 30778, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10129708 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 3*l - 9*l. What is the closest to l in 1\/8, 1\/6, -1\/2, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 40*u**2 + 220. Let q(r) = -r**2 + 38. Let h(k) = -p(k) + 6*q(k). Let j(y) = -18*y. Calculate h(j(s)).\nAnswer: -14904*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18*((-8)\/(-60) - (-9)\/(-30)). Find the first derivative of p + 3*b**4 - 6*b**4 + 4 + 10 wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090226493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2) + 246\/3. Suppose 7*o = 8*o - y. Calculate the highest common divisor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 21*g**2 + 36*g - 91. Calculate j(-23).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 - 2)*(1 - 3 + 4) + 2 - 1 + 1)*(-1 + 2*n + 1) + 146 - 146 - 111*n as z + u*n and give u.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 1453?\nAnswer: 967698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.9, -2, -3.3, 0, -17 in decreasing order.\nAnswer: 0, -0.5, -0.9, -2, -3.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -7) + -5 - 15\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -2147\nAnswer: -64.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.3, 1208\/25, -0.04.\nAnswer: -0.04, 1\/7, 0.3, 1208\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 707 - 707.694. Let z = o - -0.094. Which is the third biggest value? (a) 4 (b) 2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 3. Suppose 2*v = 6*v + 3*g, -5*v = g + 11. Let o(n) = 2*n + 7. What is v*o(i) + 7*s(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/11)*w)\/(w\/(w\/w**(-1))) assuming w is positive.\nAnswer: w**(25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -0. Let w(d) be the first derivative of -d**2 + 4*d + 9. Give w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**3*g**3 - 8*f**3*m + f**2 + 30*g**3*m - 3*g**2*m wrt f?\nAnswer: -84*g**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 6*z - 17. Let k(u) = 2*u**2 - 11*u + 10. Let f be k(5). Suppose 20 = i - 2*i - 3*n, f*n + 35 = -2*i. What is the tens digit of r(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56098 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 0, d + 11 - 4 = 4*v. Let r(f) = -3*f - 2. Let o(n) = -n. Let x(a) = 4*o(a) - r(a). Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82064*l**2 - 41024*l**2 - 41034*l**2 + 392*l - l**2 - 5*l**2 + 4*l**2 + (1 + 1 + 0)*(0 + 0 - l**2).\nAnswer: 2*l**2 + 392*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-401*r + 437*r + 5 + 1)*(5*r**2 + 7*r**2 - r**2).\nAnswer: 396*r**3 + 66*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2924 and 101527859.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z + 124. Let c be a(0). Suppose 0 = -4*v - 4*w - 172, c = -3*v + w + w. Let d = v - -167\/4. Which is smaller: d or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 508014 and -3.\nAnswer: -1524042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102225 (base 10) in base 16?\nAnswer: -10d191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63832\/1422)\/(-202)*-657.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1025310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbhwkhjbbhrhhb. What is prob of picking 1 j and 2 r?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -24. Suppose w + 3*v = v + 9, -5*w + 35 = 5*v. Suppose w*d + n + 15 = 0, 7*n + 17 = 4*d + 2*n. Which is bigger: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16137.07069 to 1 decimal place.\nAnswer: 16137.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16715.08 - -5?\nAnswer: -16710.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + 146 = 2*a, 5*c = -5*a - 145. Let m be 22\/99 - c\/9. Solve m*o + o - 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/5 + (-1 - -1). Let l be 8 + 0\/(m - 1). What is the greatest common factor of l and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*t - 69*t + 42. Let h = 43 - 47. Put h, t, 3 in increasing order.\nAnswer: t, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 21. Let x(b) = -2*b + 2*b + 35*b**2 - w*b**2. Let y(l) = -5*l. Determine y(x(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6\/(-30)*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5322, -5326, -5330, -5334?\n\"Answer: -4*p - 5318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3348 + -4?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11595 + 6382 = -604*v - 70 - 4905 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -979*w - 2755888. Determine n(-2815).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 6*g - 2*j = 8, -3*j + 24 = 3*g. What is the smallest common multiple of g and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 3*j. Let p be g(-4). Let f = -11 + 16. Let i = f - 4. Sort i, 5, p.\nAnswer: i, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -4)\/(1\/(-3)). Suppose 3*p = a*x, 3*x - 1 + 3 = 5*p. What is the nearest to p in 5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 10887.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 68*f + 56*f + 5*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 22. Let u(s) = -2 + 6 - 3*s + 4*s. Let l be u(-6). Sort g, l, 4 in increasing order.\nAnswer: l, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 32*w**2 + 71*w - 24. Calculate a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-88 - 8)\/(-16) - (7 + (-166)\/(-18)))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.5 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1516, -2.8, -0.1 in ascending order.\nAnswer: -2.8, -0.1, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35541 + 35538. Let k(y) = 7*y + 9. Let p(i) = -7*i - 8. Let j(l) = -5*k(l) - 4*p(l). Let b(h) = 4*h + 6. Calculate s*j(u) - 5*b(u).\nAnswer: u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6926*c**3 + 698*c**3 - 168*c**2 + 4410*c**3.\nAnswer: 12034*c**3 - 168*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4371762*n. Let i(d) = -22*d**2. Calculate j(i(y)).\nAnswer: -96178764*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -402816 (base 9) to base 2\nAnswer: -111010001011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 207 - 136. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212471.98 rounded to the nearest 1000?\nAnswer: 212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.05438004 - -382\nAnswer: 382.05438004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -425.7 - -425.4. Which is the second biggest value? (a) -39 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)\/(6\/6) + 7. Let a(q) be the first derivative of 4*q + w*q - 17*q + q - 8 - q**2. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpy when three letters picked without replacement from {z: 5, p: 5, y: 3}.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 5. Let b = 17 + g. Suppose -b*d + 319 - 54 = 0. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 161382467, 0 in ascending order.\nAnswer: -2\/3, 0, 161382467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-441)\/36*6\/(-42))\/(1\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21630\/3150 - (0 - 4\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -634\/5 + 127. Which is the nearest to -0.3? (a) 0.1 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 25 = -16*x, -4*l + 4*x - 795780 = 0. What is l rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.71, -6\/11, 3\/7, -23, -8 in ascending order.\nAnswer: -23, -8, -0.71, -6\/11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2. Let s(h) = -26*h - 152. Calculate s(q(g)).\nAnswer: -26*g**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -330*z + 519 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10616*b**2*f**3*w + 634*b**2*f*w + b**2*w - 14*b*f**3*w + 13*b*f**2*w - 160062*w wrt b?\nAnswer: 21232*f**3*w + 1268*f*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.016, -1\/21, -2\/23, 0.5?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bbubbuubbtbuuu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -56*k**5 - 289*k**3 - 333*k. What is the second derivative of t(y) wrt y?\nAnswer: -6720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (1\/(-1) - 1). Let l(k) = -7*k + 25. Let x(g) = -g + 4. Let m(z) = -6*l(z) + 39*x(z). Determine m(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 447*h**2 - 16*h + 16*h - 888*h**2 + 1 + 438*h**2 - 42*h**3 as f*h + l*h**2 + j + u*h**3 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgnwlflllfl. Give prob of picking 1 n and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451*(-94)\/(-42864)*-2?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.19 + 27. Let u = 0.123 + f. What is u rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1079567, 2159137, 3238711, 4318289, 5397871?\n\"Answer: 2*x**2 + 1079564*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 2*i**3\/3 - 29*i + 3. What is w(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 350, 361, 356, 329?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7694 + -4434. List the prime factors of f.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -55, 2, 19, -5, -31 in decreasing order.\nAnswer: 19, 2, -3, -5, -31, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g - 3. Let d be u(2). Suppose -3*c - 63 = -f, -d*f - 3*c + 99 = -144. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71626, 71813, 72014, 72235, 72482, 72761, 73078, 73439?\n\"Answer: h**3 + h**2 + 177*h + 71447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1573) + -2)*2 + -1.\nAnswer: -21 + 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 33. Let w = f - -6. Let o = w + 7. Which is the second biggest value? (a) 2 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/60 + 25*o**4\/6 - 55*o**3\/3 - 11*o**2 - 3*o. Find the first derivative of c(y) wrt y.\nAnswer: 6*y**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Let o(j) = -2*j - 3. Let r(t) = -3*g(t) + o(t). Let q(d) = -92*d. What is r(q(s))?\nAnswer: -92*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2971 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000090764973 rounded to 7 dps?\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(4\/7)*n)\/n*n)\/n*n)**(-26))**(-16\/3) assuming n is positive.\nAnswer: n**(2496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/80 - (-6)\/(-15)*397\/(-2). What is the greatest common factor of 132 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14393\/12 + 1193. Let m = -839 - -5015\/6. Find the common denominator of a and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.067 times -1.5\nAnswer: 0.1005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 22 = 4*x, 2*s + 21*x = 22*x + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002110 (base 3) to base 4.\nAnswer: 113310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/(-60)*15\/10. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -106*w - 7719. Give d(-73).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((1 - (-85)\/(-115))*74\/(-148))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8*i. Suppose -2*u + i*r - 4*r + 22 = 0, r + 7 = 2*u. Solve -2*p = h - u, 2*p + 4 = -6*h + 2*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 2, w: 4, e: 2, b: 6}. Give prob of sequence ewb.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -2)**2 + (sqrt(77)\/(sqrt(22)\/sqrt(2)))**2 + 4.\nAnswer: -12*sqrt(7) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 5:34 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 + 728aa?\nAnswer: 72878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let f be (0 - -1)*-3 - h. Let i(g) = -g + 4. What is the units digit of i(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/3 - 2*r**4\/3 + 6*r**3 - 22*r**2\/3 + 8*r\/3.\nAnswer: -2*r*(r - 1)**3*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235569, 235567, 235565, 235563, 235561, 235559?\nAnswer: 235557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -478 - -477. Let x(r) be the second derivative of -r**5\/20 - r**4\/12 - r**3\/6 - r. Let i(p) = p**2 + p. Give k*i(o) - x(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 1 + 15. Calculate the least common multiple of 10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63927611 to the nearest integer?\nAnswer: 7995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + (1 - (-4 + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 9. Let o be d(-12). Solve s = -o*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Let w = 5.846 - 0.836. Let y = l - w. Round y to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/76)\/((-176)\/(-836))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 46. Let o be 166001 - (-3 - n) - 4. What is o rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-2)\/31130) - (9 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 766784.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.33 * 0.15.\nAnswer: 4.6995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71331.75 years in millennia?\nAnswer: 71.33175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4 - 3352*n**3 + 107685*n**2 - 1152179*n + 4068470 = 0.\nAnswer: 19\/2, 14, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2359 + 2385. Calculate the remainder when 803 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -58\/2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 5*r**2 + 2*r - 5. Let i be y(5). Let s be (-1)\/5 - 14\/i. Let c(o) = -11*o + 7. What is the units digit of c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 20, -5*a + 14 = -3*a - 4*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rereere. What is prob of sequence reer?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*x = -501, -3*x + 260 - 749 = -3*r. What is the remainder when r is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16629 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, -5, -12, -11, 4?\n\"Answer: m**3 - 5*m**2 - m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 762 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/96 + 13*n**3\/24 + 169*n**2\/16 - 241*n. What is w in t(w) = 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + (2*3*sqrt(7))**2 - (sqrt(700) + 3 + -1)**2) + 5).\nAnswer: 80*sqrt(7) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15865 divided by -5.\nAnswer: -3173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 4 - 4 - 2*y + 0*y + 0*y - 3*y + 5*y - y - 2 - 2*y + 2 + (3 + 2*y - 3)*(1 + 0 - 2) + 3 + 2*y - 3 - 2*y + 6*y - 2*y + 365 + 377 - 2*y + 29.\nAnswer: -5*y + 771","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-220)\/(-18)*(-344)\/129*63\/(-70)\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 divided by 1.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c - 4*p + 75, 4*p = 12. Let l be (-6)\/c + (-69)\/(-21). Let k be ((-2)\/8)\/(l\/10). Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 56283 = -17217. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3225497 is divided by 1612742?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.255 - 0.255. Let t = j - 43.2. What is the nearest to 1 in -5, t, 11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-744)\/(-3534))\/((-16)\/2)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5121995691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -2. Let d = -48 + 148\/3. Sort d, 1, b.\nAnswer: b, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:32 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*k - 57*k + 5*k + (-50 + 4 - 12 - 2*k)*(-1 + 3 + 0).\nAnswer: -95*k - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 75 + (-1 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - z - 1. Let x(v) = -60*v**2 + 2*v + 4. Give 2*f(w) + x(w).\nAnswer: -56*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 722*z**4 - 8968*z**3 + 29664*z**2 - 11232*z + 864 = 0.\nAnswer: 2\/19, 6\/19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ein when three letters picked without replacement from qnnnnnwwiqenqwqein.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from gableng.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:00 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19163112679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2) + -17 + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + a + 6, -4*a + 11 = -5*b + 1. Let u(i) = i**2 - i + 1. Let h(j) = -j. Give b*u(g) + h(g).\nAnswer: -2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12 - 8\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17078 is divided by 192.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 11, z: 7, r: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 1078.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1496901 divided by 119\nAnswer: 12579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.298 (b) -2\/7 (c) -0.3 (d) 0.2 (e) -1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**4 + 2*a**4 - 76*a - 1 - 2*a**3 + 77*a to z*a**2 + k*a**4 + o*a + r + u*a**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:07 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14*(-14)\/(-42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:53 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -3.5. Let s be 6 - 7 - -1*1. Suppose -2*m + m - 1 = s. Sort n, 0.5, m.\nAnswer: m, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 3. Determine c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0099839 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 55*w - 35. Let q(c) = -37*c + 34. Let p(b) = -2*h(b) - 3*q(b). Determine p(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 + 4*n**3\/3 - n**2 - 6*n. Let b be c(-8). Suppose -19*t - 5 = -24*t - 3*h, -8 = -t - 2*h. Does t = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210*r = -41*r - 245097 for r.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2133 - 12005524?\nAnswer: -12003351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i**(3\/2))*i**1*(i**(-2))**(2\/55) assuming i is positive.\nAnswer: i**(-173\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + -1*sqrt(1539) + 4)**2*5.\nAnswer: 7690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose k*h = x - 8, 5*x - h + 3*h = 4. Let q(j) = -j + 2. Calculate the least common multiple of q(-2) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246820 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5\/3, -3, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 8*r + 9. Let u be f(-7). Let h be u\/(-6) - 31\/(-3). Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 12*r = -4*q, -q + 2*r - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23769800467 and 2651.\nAnswer: -23769797816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 907, 1001, 1121, 1279, 1487, 1757, 2101?\n\"Answer: 2*l**3 + l**2 + 77*l + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 16*f - 103. What is the greatest common divisor of f and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmjggggdwjgddjdg. What is prob of picking 2 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643*w**2 + 366*w**3 + 104*w - 104*w - 29*w**3 wrt w.\nAnswer: 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44434024 + 3111?\nAnswer: -44430413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 1.8. What is the closest to 1 in j, -2\/9, -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let m(i) = 3*i**2 - 7*i - 94. Let j be m(-11). Suppose -c*x = 4*o - 8 - j, -3*o = 2*x - 263. What are the prime factors of o?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -31, -96, -193, -322, -483?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011828839 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62190.18ug in nanograms?\nAnswer: 62190180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 3*a - 3. Let x(q) be the second derivative of 5*q**4\/12 + 13*q**3\/6 - 13*q**2\/2 + 2*q + 55. Determine -4*x(t) + 18*y(t).\nAnswer: -2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 4*c + 4. Let o be r(4). Suppose -7*z + 385 + 231 = 0. Suppose -3*n + 20 = -z. Calculate the highest common factor of o and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 4*f**3 - f**3)*(41*f**2 - 21*f + 21*f).\nAnswer: -164*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 + 5*w - 6. Let o be r(-6). Let n = 234156.98 - 234157. What is the third smallest value in 33, n, o?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 3 (b) 0.2 (c) 8 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 5*d - d)*(-2*d + 6*d - 8*d - 2)*(-6 + 2 - 1)*(3 + 0 - 4).\nAnswer: -20*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let j(i) = 755*i + 4534. Let c be j(-6). Suppose 2*v = 4*x + 48, -w*v = -0*v + c*x - 52. Solve -t = -4*f + t + v, -t - 14 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 12*i**2 - 4*i - 24. Let r be h(-13). Let b = r - -4934\/35. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 3509925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 32 + 206*r**2 + 28 - 79*r**3 - 256*r + 4*r**4 + 76*r. Let b(j) = -j**4 + 16*j**3 - 41*j**2 + 36*j - 12. Let g(a) = 11*b(a) + 2*x(a). Factor g(z).\nAnswer: -3*(z - 2)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 6*k**2 + 9*k - 5*k - 3*k + 246*k**3 - 447*k**3 + 229*k**3 as q*k**4 + j*k**2 + x*k + m*k**3 + i and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6 + 2\/3. Let z be (-1 - 10\/(-13)) + 51\/((-21879)\/(-957)). Solve 0 = -z*r - f*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -25*s**2 + s - 3. Let b(c) = 8*c**2 + 1. What is -7*b(m) - 2*x(m)?\nAnswer: -6*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31975243 (b) -4 (c) 6\/11 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06476 and 15.\nAnswer: 0.9714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j**2 + 101*j**2 - 2*j**2 as c*j**2 + h + m*j and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(5 + 4 - 11)*(-2 - 2 + 3)*(s + 3*s - 2*s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-9 + 10)) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.39878 rounded to 2 dps?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/10, -0.29, 4.\nAnswer: -2, -0.29, -1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 11*d**3\/3 - 31*d**2\/2 + 2*d + 300. Suppose 0 = -3*p - 0*p + 33. Is o(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49363.\nAnswer: 49363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.6 - -5?\nAnswer: -186.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*a + 106*a = 142*a - 126580615. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 130190010*h**2. Let s(m) = 3*m**2. Calculate f(s(n)).\nAnswer: 1171710090*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/6)\/((-3)\/9). Find the common denominator of (99\/15)\/(u\/5) and -67\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 777*p - 67131. Determine c(99).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 - (-14 - (-41 - -25))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-24) - 12)*(26 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/240*(-4)\/1*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1707158 (base 11) in base 15?\nAnswer: -3c6b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:21 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 12*k - 1656 = -10*k. Calculate the greatest common factor of k and 16353.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -3885\nAnswer: -23310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 8. Suppose 0 = -h + 5*d - 869980, y*d - 4349992 = 4*h + h. What is h rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -788, -5 in descending order.\nAnswer: -5, -10, -788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**6 - 152*u**5\/5 + 289*u**4\/2 - 680*u**3\/3 + 84*u**2 + 2507. Determine j, given that h(j) = 0.\nAnswer: 0, 1\/3, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.1383ml in litres?\nAnswer: 0.7511383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 6 = d. Let f be (3\/(-2))\/(d\/20). Solve 4*h - 8 = v - 2, -v - f*h + 12 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-104902)\/(-16) + 156\/(-416) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*o + 2*n, -10*o - 5*n - 15 = -12*o. What is the lowest common multiple of 18 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992 is divided by 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:22 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -167110000 rounded to the nearest one million?\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 2*n - 2. Suppose l - 11 = -5*u, -18 = 4*l - 2. What are the prime factors of g(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12241382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - 1. Let j = 56 + u. Suppose -5*i = x - j, -4*x + 30 = 5*i - 6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1220 + 10332?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730788?\nAnswer: 2, 167, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*r - 786, -67 = -r + c + 90. Let k = 242 - r. Suppose -226 = -2*p + k. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(14175\/75)*(-14)\/(-32)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -74 - 1703\/(-52).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 35*m**3 - 360 + 42*m**2 - 140*m - 43*m**2 - 5*m**4 + 111*m**2 = 0.\nAnswer: -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 + 329. Let s be (o\/(-32))\/(9\/27). Sort -32, -2, s.\nAnswer: -32, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {g: 12, w: 3, k: 4, f: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1037834 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 2*u + 2. Let o be k(2). Let g = -2.5 - -0.7. Let c = g + 2. What is the third biggest value in 1, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-734*b**3 + 1665*b**3 - 823*b**3)*(1 + 5*b - 4*b + 0*b).\nAnswer: 108*b**4 + 108*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35076, -35078, -35080, -35082?\n\"Answer: -2*j - 35074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -0.15 (c) -4 (d) 7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-495)\/(-80))*243\/(-108)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 1. Let i be (5 - 3)*1\/(-2). Let m(r) = -33. Let p(g) = 46. Let c(l) = 7*m(l) + 5*p(l). Let w = 1 + -2. Calculate i*c(o) + w*q(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b + b + 4*b)*(-62 - 81 + 117 + (0 + 2 - 4)*(3 - 2 + 0)) in the form g*b + r and give g.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 34*c + 5. Let m be t(5). Let l be m\/49 + (-3)\/(-7). Suppose 130 = l*v + v. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 18. Let k be o(-9). Let f = 100 - k. What is the units digit of -3*3\/(-9)*f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*j + 11, -253*j + 7 = -256*j + 2*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 536\/20 + 2 + 9\/(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -903 + -959405.778\nAnswer: -960308.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101.5 + 50.7. Let b = g - -51. What is the nearest to 2\/3 in b, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (464*u - 745*u + 396*u)*(8 - 5*u - 8)*(4 - 3 + 1) as s*u + r*u**2 + c and give r.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, -2, -5, -9, 19 in descending order.\nAnswer: 207, 19, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 6 - 2 = b*g. Let k be g - -433333*2*3. What is k rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10389 or -195?\nAnswer: 10389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/7, 2\/13, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -36. Let p = -258 + 258.109. Let w = -0.091 - p. Is s < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*x + 71*x. Solve -4*n = x, 2*z - 8*n + 4 = -4*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:27 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2354.2 + -2358.2. Sort -3\/7, l, -3, -535 in decreasing order.\nAnswer: -3\/7, -3, l, -535","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -939, -783, -627, -471, -315?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 851, -9 in increasing order.\nAnswer: -9, 0, 4, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/13 + 1344*f**4\/13 + 279052*f**3\/13 + 1322128*f**2 + 151613490*f\/13 + 362423600\/13 = 0. What is f?\nAnswer: -287, -88, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -7, 7 in increasing order.\nAnswer: -7, -5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38313511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 l when three letters picked without replacement from llzkdgglgzgzmlmgm.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -120 - 255\/8*o**2 + 3\/8*o**3 + 303\/2*o = 0. Calculate o.\nAnswer: 1, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfuk. Give prob of sequence kfk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/3)\/a*a**(-3\/7)*(a*a**(-1)*a*a)**(-4) assuming a is positive.\nAnswer: a**(-163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*s**3 - 126*s + 1179*s**3 + 70*s + 56*s.\nAnswer: 873*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -30. Suppose 2*j + 3*j - 85 = v. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:45 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 188894 less than 188893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 71728.\nAnswer: 143456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:34 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*i - 637*i**3 - 111 - 640*i**3 + 1864*i + 1279*i**3 + 111.\nAnswer: 2*i**3 + 1638*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/(-5))\/(0 + 2). What is the third derivative of -4*d**2 + 5*d**4 - 2*d**2 + 0*d**v wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276658 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050736 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -1 - -5 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-15*d - 28*d - 2*d)*(0 + 5 - 1) in the form t*d + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 300117150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 17. Suppose -4*j + 61 = i. What is the smallest common multiple of 21 and j?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1))**(-3\/8))**(-46))**(-10) assuming m is positive.\nAnswer: m**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 4559.6 and -15653607.\nAnswer: -15649047.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z. Let h be 58*2\/12 + 2\/6. Let x be h\/10 + (-2 - -3). Solve z*c - 2*c + x = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*o = -o + 5, -4*h - 5*o = -13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -39*r - 71 - 14*r + 21 + r**3 + 8*r**2 - 147 + 40*r**2. Let d be h(-49). Let m(g) = -g**3 + g**2 + 2*g + 1. Determine m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 98, 1273, 4462, 10673, 20914?\n\"Answer: 168*t**3 - t**2 + 2*t - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332999 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34 + 0.3. Let k = v + 0.04. Let s = -5 + 8. Which is the biggest value? (a) k (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -16 + (-568 - -593) - (-89 - 7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5\/2, 1\/4, -6\/7, 4.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l**3 + 196*l**2 + 5344*l - 40352. Let f(q) = -2*q**3 - 3*q**2 + q + 2. Let d(o) = 8*f(o) - v(o). Factor d(c).\nAnswer: -2*(c - 6)*(c + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -321156\nAnswer: 1\/160578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(143) + 1*sqrt(143)*-3 + sqrt(143) - sqrt(143)) + (1*sqrt(143)*5 - sqrt(143)))*-4)\/(3*3*sqrt(176)*1))**2.\nAnswer: 52\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 3*n**4\/8 - n**3 - 15*n**2\/4 + 9*n - 35. Determine a so that u(a) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78029 is divided by 144?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110865 is divided by 1582.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -292 - (-3 - -4 - 1). Let b = g - -197. Let y = b + 199. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9046 and 0.05593.\nAnswer: 9046.05593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5128 = -2*r, 9803 - 1235 = 5*j + 2*r. List the prime factors of j.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -5 - (9 - (-7 + (7 + -4 - 17))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2167903*k - 1083952*k - 1083949*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43165 and 27590?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -12. Let l = c + 25. Suppose -67*r = -5*g - 69*r + 574, 113 = g + r. What is the remainder when g is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/((-27225)\/264)*(-6)\/(-16).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 0.0034?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*((-p**4 - p**4 + 4*p**4)*(-1 + 3 + 0) + 3*p**4 - 4*p**4 + 2*p**4) - p + p**4 + p.\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/36 - (-287)\/(-164). Suppose -2*l - 3*l = -20. What is the closest to v in l, -1\/7, 3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1459072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(0*v - 2*v - v)*(3 + 3 - 4).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(14\/2)*((-140)\/10)\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 23 = 3*m - 18, 5*m + 2*i = 25. Suppose m*a = 2*a. Suppose a = -f + 3*n + 264, f - 5*n - 30 = 242. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 6*u + 6. Let d(s) = s**3 - 4*s**2 - 3*s - 5. Let y be d(5). Let h be (-4)\/(4\/(-5)) - 2. Let v be h\/(2 + y\/(-4)). Calculate k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 38, 80, 148, 248?\n\"Answer: i**3 + 4*i**2 + 3*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**22*r**(-7)\/r assuming r is positive.\nAnswer: r**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-6)*s)\/((s**3*s)\/s))\/(s**(1\/4)\/s*s**(5\/6)))\/((s\/(s*s**2\/s))**(4\/13))**(-7\/9) assuming s is positive.\nAnswer: s**(-3895\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/9 + -2 - 238\/3. Let t = j - -82. Let -3*v**4 + v**5 + 2*v + 556*v**2 - 2*v + 3*v**3 - 557*v**t = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 79)\/7*(0 - -1) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65853260 by 1197332.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 + (-3417)\/34. Calculate the remainder when 18 is divided by (-14)\/(-49) - i\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20458)\/7208)\/(-193))\/((-1)\/((-8)\/(-2)))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-207)\/(-270))\/(-23)*-2*8\/12?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472650 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (-8 + 4 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 40. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42 + 43)*3\/(-10))\/(12\/(-416)). Suppose -4\/5 + 54\/5*g**5 - n*g**3 - 12*g**4 - 2\/5*g + 64\/5*g**2 = 0. What is g?\nAnswer: -1, -2\/9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*i**4 + 6\/5 + 27\/5*i**2 + 21\/5*i + 3*i**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 24 = -4*k, 71*j = -4*k + 13*k + 74*j - 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 3. Suppose 7*t - 2*t - 20 = 0. Put t, -4, a in decreasing order.\nAnswer: t, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6985530 divided by 5?\nAnswer: -1397106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 12*c + 22. Let x be v(-11). Let w(l) = -34 + 2*l**2 + 15 + x + 5*l. What are the prime factors of w(9)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7*u + 4. Suppose 5*f - 2*g - 42 = -g, 5*f + 2*g = 36. Let k = -5 + f. Put 2, k, u in increasing order.\nAnswer: u, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltlltzvmm. What is prob of picking 1 m and 1 l?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - ((10 - -20 - 13) + -155).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o - 36624 = -49*o. List the prime factors of (-1)\/((32\/4)\/o).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 5. Let s = 4 - r. Let l = s + 13. Put 3\/5, -4, l in increasing order.\nAnswer: -4, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0)*(4*m**2 + 0*m**2 - 3*m**2) - 3702*m + 7772*m**2 - 3882*m**2 - 3889*m**2 in the form b + y*m**2 + f*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 59211 = -2*f + 38845, 5*s = -4*f + 245139. Suppose w + 5871 = 5*k + s, -3 = -3*w. Let a = k - -12831. Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/9 + 86\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 + 6*s + 2. Is b(-7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + c = -0*g - 3, -g + 5*c - 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*k = -5, 4 = 6*q - 2*q - 4*k. Suppose q*n = 3*c - 58 - 71, 0 = 4*n. Solve 8*z = -11 + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1459 + -1455. Let r(s) = 29*s - 4. Let c(p) = -203*p + 29. Give o*c(n) + 29*r(n).\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 3*a**7\/14 - 5*a**6\/2 + 39*a**5\/10 + 9*a**4\/2 - 29*a**3\/2 + 21*a**2\/2 + 73*a - 6. Solve m(l) = 0 for l.\nAnswer: -1, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91.33 - 91. Let y = l - 0.341. Round y to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 + 2*x - 8. Let t be b(4). Let s = -20 + t. Let w(h) = -h**3 - 6*h**2 + 4. Let r be w(-6). Solve q = 5*a - q + s, -r*q - 4 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 12979470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 - 45*d**3\/4 + 15*d**2\/4 + 45*d\/4 - 27\/4 = 0.\nAnswer: -1, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 6*c - 3. Let w be f(6). Let i = w + -1. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 8, 4*w + 5*n - 3*n + 8 = 0. Let o be (-12)\/9*9 - w. Let k be (1\/o)\/(2\/6). Which is the closest to k? (a) -2 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 3. Let d(u) = 6*u - 17. Let o(j) = -6*d(j) - 34*p(j). Let k = 18 - 12. Let w(q) = 11*q - k*q - 2*q. Calculate o(w(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12591391 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 value of (180\/(-9))\/(-60)*-27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 6)*(-1 + 4 - 2)*(-2*f + 5*f + 0*f) to a + p*f and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2097 (base 14) to base 8.\nAnswer: 12765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + c + 3)*(-18*c + 2*c + 8*c) + (3*c + 2*c - 4*c)*(6*c + 0*c - 4*c) + 5*c**2 - c**2 - 2*c**2 in the form s*c + v*c**2 + z and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5\/(20\/8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6062011 + 11?\nAnswer: -6062000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 8*p**2\/3 - 2*p\/3 - 4.\nAnswer: -2*(p - 3)*(p - 2)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -683, -1490, -3211, -6188, -10763?\nAnswer: -17278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 132*r - 2178 = 0. Calculate r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((v*v\/(v*v**(-4)))\/v*v)\/v)))\/(v\/v**(-6\/11)))\/((v*v**(-4))\/(v**(-8)\/v)) assuming v is positive.\nAnswer: v**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/2 + 2*j**3 - 10*j**2 - 686. Suppose x(p) = 0. Calculate p.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 11) to base 4.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.4728945 rounded to one decimal place?\nAnswer: -77.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 3*a)*(-19 + 10 + 59).\nAnswer: -100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*4\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3780020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47694?\nAnswer: 2, 3, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.50482 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52 * 86.7803\nAnswer: -4512.5756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 252478 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.4 + -38. Let k = -3.4 + s. Which is the second smallest value? (a) 0.2 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297*z + 827*z - 17390 = 0 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*q**3 + 3*q**3 - 3*q**4 - 2*q**2 + q**4 as x*q**2 + v*q + s*q**3 + g*q**4 + b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -15, -0.31, -4.\nAnswer: -36, -15, -4, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43663.68cm to micrometers.\nAnswer: 436636800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.272 + 29.126. What is x rounded to 1 dp?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w - 26. Let l be p(-2). Let s be (-54)\/(-4) - (l + (-49)\/(-14)). Solve s*j + 7 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 0*p**2 + 6*p**2 + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 70704144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*s - 6, 0 = s - 4*a + a - 3. Suppose -s*c + 45 = -8*c. Let z = c + 42\/5. What is the common denominator of -29\/9 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9365, 9335, 9247, 9071, 8777, 8335, 7715, 6887?\n\"Answer: -5*s**3 + s**2 + 2*s + 9367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/2 + 1285*x**4\/2 - 275418*x**3 + 39476152*x**2 - 39201376*x.\nAnswer: -x*(x - 428)**3*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3\/4*b**5 + 107\/2*b**2 + 1\/12*b**4 + 0 + 0*b**3 + 73*b. Differentiate w(k) with respect to k.\nAnswer: -45*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 1 - 2*k + k**2 + 2*k**2 - 4*k**2 + 7*k**2 + 71*k**2 + (4 - 1 - 4)*(5*k**2 + 0*k**2 - 3*k**2).\nAnswer: 75*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 189566 + -3?\nAnswer: 189563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-136)\/6)\/((-8)\/12). Let h = d - 6. Calculate the least common multiple of 18 and h.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 62, 78, 114, 176?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:43 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.628 + 0.628. Which is smaller: o or -3\/49?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(1573))*3)**2 + ((-6*sqrt(78)*-2 + sqrt(78))\/(sqrt(6) + sqrt(6)*2*-1))**2.\nAnswer: 16354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97983 + 142077. List the prime factors of o.\nAnswer: 2, 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.01 - 1.0203. What is g rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 158334.\nAnswer: 2\/79167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559803.9 kilometers to centimeters.\nAnswer: 55980390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from sddddsddsddsdsnddd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:36 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20556 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689, 661, 625, 587, 553, 529, 521, 535?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74.7 + 75. Suppose -5*s = q - 20, s + 22 = -0*s + 5*q. Which is the nearest to s? (a) -0.5 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*9\/(2430\/(-36))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499502 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1754 - -4?\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 11*f**4\/24 - 3*f**2. Let h(c) be the third derivative of -c**5\/10 + 434*c**2. Give u(h(i)).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -0.43, 4\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(17\/5))**(-12\/7) assuming h is positive.\nAnswer: h**(408\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2072820 by -2316.\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17034.\nAnswer: 2, 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-57)\/95.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 114062 divided by -2?\nAnswer: -57031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2234, 3, -7, 1 in decreasing order.\nAnswer: 2234, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -7*k + 181. Let u be 36\/k*(-42)\/(-4). Let y(q) = -q**2 + 22*q - 21. What is the tens digit of y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -2*z - 26, 2*z + 46*w - 45*w = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -35*a**2\/4 - 20*a - 45\/4 = 0.\nAnswer: -9\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -169532, 3, -48 in ascending order.\nAnswer: -169532, -48, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 291347759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23566*c**4 + 2*c**3 - 459*c + 26 wrt c?\nAnswer: -282792*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u**2 + 127*u**2 - 63*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a28 - 247?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*y + 16, 10 + 5 = 3*y. Suppose 3*l = 4 + o. Suppose -u + 1 = -l. Solve 4 = -u*n + 7*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.002 + 2.002. What is the closest to -2 in -1\/5, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 6, -5*f + 2*i - 4*i = 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 0 + (-5307 - -5278).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 - 4*v - 4. Let l(o) = o**2 + o. Let p(z) = l(z) - q(z). List the prime factors of p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2\/3 + b**2 + 5\/3*b = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002558 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 c when four letters picked without replacement from {j: 1, o: 2, c: 11}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -62, -46, -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = 0. Let y = 2 - b. Suppose 10 = 7*p - 18. Solve -y = -p*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-7))\/(-24 - 5214\/(-231))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/195864 and -173\/979320.\nAnswer: 979320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 24*g**2 + 72*g - 20. Let i be n(-26). Suppose -2*p = 5*m - 2073, -4*p + 3775 = m - 380. Let d = p + i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -19*c - 1. Let w be a(-1). Let g be -2 + -2 + w\/3. Suppose 0*i**g + 0 + 1\/4*i**3 - 1\/4*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/110 - 1\/10. Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11790739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 greater than 1463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/167297717?\nAnswer: -3\/167297717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f. Determine m(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 956800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24025 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:58 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/60)\/5 - 38\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - g - 2. Let n be q(0). Which is the second smallest value? (a) -5 (b) n (c) 1\/17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 + -1.7752.\nAnswer: -4.3752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 160f + 4?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 250, -0.1, 1, 2, -3, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358*r**3 - 248*r**3 - 1056*r**2 + 1056*r**2.\nAnswer: 1110*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35564 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - 65\/10. Let h be m*(78\/(-21) + 4). Let s = 12 + h. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6193 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009041 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5475804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:11 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -313*s - 618. Determine j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1374668 (base 11) to base 15\nAnswer: 31a3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 3*y + 2*g - 1154, y - 2*g = 315. Let l = 98 - 69. Calculate the greatest common divisor of l and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -2)*14\/(-4). Suppose -4*y = -4*r - 24, y - 3*y = r. Suppose -5 + m = y*t. Solve 0 = 5*s, 4 = k - 5*s - t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**7\/210 + 31*j**6\/120 - 71*j**5\/60 + 6*j**2. What is the third derivative of c(b) wrt b?\nAnswer: -24*b + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19813 - 39629 - 106*b**2 + 19816 + 85*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2 = 6*o. Let g(a) be the second derivative of 1\/15*a**6 + 0*a**3 + 0*a**5 + 2*a + 1\/2*a**o + 0 + 0*a**4. Find the first derivative of g(s) wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -l + 777, -2*l + 116 + 80 = x. Solve -43*v - 22 + x = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273 or 10419\/38?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/8131?\nAnswer: 3\/8131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 53. Let a = -892 - -896. What is the smallest common multiple of s and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 15558\/22 + (-2)\/11. Does 7 divide (-4)\/(-10) - u\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -432, 2, 0 in decreasing order.\nAnswer: 2, 0, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 570695107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -360.93 rounded to 0 decimal places?\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 34*k - 195. Put 2, -2, 0, k, -4 in decreasing order.\nAnswer: k, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6091*u**2 - 10*u - 3687. Let c(m) = -15226*m**2 + 24*m + 9216. Let z(i) = -5*c(i) - 12*l(i). Differentiate z(j) wrt j.\nAnswer: 6076*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 10*n**2 - 7*n - 24. Let p be z(-10). Let d = 148 - p. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -8 - 61 - -24.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -8*t - 12 + 16, 6*t - 5 = -5*r + 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8.31 (b) 3\/8 (c) -2 (d) 1\/11 (e) -0.2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(2 + 3 - 3)*(-82 + 17*y**3 + 82).\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367 and 244789.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156144 and 0.2.\nAnswer: -31228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**7\/840 - u**6\/360 - u**3\/2 + 8*u**2. Let d(h) be the first derivative of l(h). Find the third derivative of d(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + 1.41. What is the closest to -2\/3 in b, -2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46992.\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -9)\/(-30)*4. Let h = 74 - 41. What is the biggest value in -2, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-461\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 860 = -867 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608 + 21*y**3 - 3*y**3 - 1216 + 608.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a second in milliseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.03142 + -0.16858. Which is the third smallest value? (a) r (b) 5 (c) 11 (d) 3 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, h: 2, e: 5}. What is prob of sequence hee?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6721, -13604, -20489, -27376, -34265, -41156, -48049?\nAnswer: -54944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342048363 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -a + 5*z - 6, 9 = -4*a + 3*z. Suppose -3*n = -a*n - 36. Calculate the greatest common divisor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735 - 717. Let d be (-297)\/(-132)*3\/(m\/16). Solve -d*x = -11*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85254661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*l - l = -59, 2*h = 2*l + 60. Calculate the greatest common divisor of h and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 11*t + 17. Let c be m(-10). Let k(g) = -18*g + 2. Let d be k(-3). What is the greatest common divisor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 6)\/(5\/(-1)). Solve k = -19*g + 7*g - 48 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -1\/28*j**4 - 11*j + 0 + 17\/7*j**3 - 867\/14*j**2. Factor z(y).\nAnswer: -3*(y - 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -405159738.99999824 - -405159787. Let i = h + -48. Round i to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*o + 2*o - 23, 3*b - 4*o + 17 = 0. Let g be (0 - b)\/((-4)\/16). Solve g*m + y - 12 = 0, m = -3*m + 3*y - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/218 or -1094.335?\nAnswer: -1094.335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*-2*(-6)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/12 - 5*j**3\/6 + 9*j**2\/2 - 8*j. Is 9 a factor of h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 898 - -2274. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(((-46057)\/(-742))\/79))\/((-4)\/22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 391247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67318089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i - 388*i + 23372135 + 663153 = 0. What is the ten thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:02 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 111\/1480 - 9\/(-30). What is the nearest to -0.1 in 3\/10, b, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38171 and 1486332.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 14*i**2 - 2*i + 53. Let c be t(-13). Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221201010 (base 3) in base 13?\nAnswer: 86b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**4\/6 - 15*g**3\/2 - 30*g**2 + 1. Let h be i(13). Solve -4*p = -h*p + 3*x - 15, 4*x = -3*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and -130.\nAnswer: -130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 190*h**2 + 6316*h + 1525. What is z(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2291*g**2. Let m(n) be the first derivative of n**3\/3 - 2292. Determine u(m(q)).\nAnswer: 2291*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/4 - 395*b**2 - 7881*b\/4 - 4725\/2 = 0.\nAnswer: -1575, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 11*o + 2. Let w be x(11). Suppose -3*u = w*v - 5*u - 10, 5*v = u + 21. Solve v*f = 5*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/4 (c) 0.2 (d) -2.7 (e) -2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -38*c**3 + 7*c**2 + 5*c. Let z(u) = -u + 5. Let q be (-12)\/(-42) - 136\/(-14). Let d be z(q). Let x be v(d). Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**4\/7 - 128*r**3\/7 - 26062*r**2\/7 - 236016*r\/7 - 145800\/7 = 0. What is r?\nAnswer: -50, -9, -2\/3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + g - 6*g**2 + 2 - 3*g**3 + 8*g**2 as k*g + q*g**3 + d + l*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 5*r + 0*r + r - 2*r + 4*r + (-2 + 3 + 1)*(2*r + 0*r - 4*r) + 2 + 2*r - 2.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 21*v**2 - 17*v - 48. Let l be h(20). Let w be 43\/3 - l\/(-18). Solve -j + w = -6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 plus 122?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p - 7. Let h be n(2). Let c be 23*3\/h + (-12)\/30. What is the units digit of (5 + -2)*(9 - (10 + c))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.62482 * -0.3.\nAnswer: 6.187446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143))\/sqrt(11) + (sqrt(13) + sqrt(26)\/sqrt(2) + -4)**2.\nAnswer: -17*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13062 is divided by 6515?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3775.33729068 + 0.66?\nAnswer: -3774.67729068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - j - 6 = 0, -4*j + 2 = -5*r - j. Let x be ((-24)\/(-10))\/2*5. Let a = -4 + x. Solve -3*d + r*d = -a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -16*h + 48. Suppose 0 = -4*i - h*n + 24, 3*n - 4 = 2*n. Solve -i*r - 4 = -12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56446\/(-5070) + (-4)\/(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -74*z**2 - 1263*z - 4445. What is q(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 109440554, 109440552, 109440548, 109440542, 109440534, 109440524, 109440512?\n\"Answer: -b**2 + b + 109440554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r. Let o = -2 + 4. Let z(x) = 5*x. Let s(q) = o*g(q) - 5*z(q). Let v(n) = 4*n + 2*n - 4*n. Give v(s(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 10*v**2 + 10*v - 12. Let d(a) = a**3 + 7*a**2 + 8*a + 7. What is the remainder when b(-7) is divided by d(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(10\/(-4) - -2). Let r(a) = -a**2 - 4*a + 12. Let k be r(-9). Let x = h - k. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1987 + -1973. Which is the fourth smallest value? (a) -1\/2 (b) p (c) 2 (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*y + 65*y - 588. Let z be 1554\/y - (-18)\/(-21). Solve 9*o + z = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 142, 244, 344, 442, 538?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 23 = 27. Let f(v) = -p + 2 - v**2 + 15*v + 23*v - 34*v. What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1453167.\nAnswer: -290633.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 - p + 10. Let a be k(7). Suppose 7*i + 20 = -a*i. Let c(j) = j - j - 3*j + 5 + 4*j. Let o(l) = 1. What is i*o(d) + c(d)?\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 5*r**2 - 9. Give p(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 2. Suppose -4*b - 5 = -9*b. Let t(k) = 6*k**2 - 6. Let n(u) = b*t(u) + 3*y(u). Let h(a) = 21*a. What is n(h(g))?\nAnswer: 1323*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2171 divided by -267168\nAnswer: -2171\/267168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 2, k: 4, m: 3}. What is prob of sequence zmkm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/36*32\/20 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 389202 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45991\/77 - (-6)\/(-21).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**5 - 27*i**3 - 233*i wrt i.\nAnswer: 160*i**3 - 162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {r: 1, z: 4, d: 10, p: 1, g: 3}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(17)*1)*2)**2 - (sqrt(34) + sqrt(306))\/sqrt(2).\nAnswer: -4*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/25 + 43\/5. Let n = 12 - f. Let s(r) = 6*r**3 - r. Calculate the smallest common multiple of n and s(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.2. Let x = 1240\/9 - 16138\/117. Let o be 1*-2 - 16\/(-7). What is the nearest to 2\/7 in x, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:26 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222011 + -1211?\nAnswer: -12000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*n + 348, 0*n - 2*n + l = -356. Suppose -2*w + 101 = -0*w + h, -4*w = -3*h - n. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 23 - ((-7)\/(-28) + (-26)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4611546 is divided by 1812.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j. Let m(q) = -24*q + 3. Let a(w) = -w + 1. Let h(y) = 3*a(y) - m(y). Calculate -2*h(r) - 9*s(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/55, -1\/4, -3\/2, -68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78\/1353067 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6405 + -3?\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.11751 and -3265044.\nAnswer: -3265049.11751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456076011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 566690.3ml?\nAnswer: 566.6903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d + 59*d**2 + 28*d**2 + 81*d + 32*d**2 - 168*d**2 in the form w + i*d + q*d**2 and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 47*h**2 + 14*h - 12. Let l(v) = 101*v**2 + 26*v - 22. Calculate 6*l(i) - 11*p(i).\nAnswer: 89*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/5640 and -19\/2397?\nAnswer: 95880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 5. Let y = s - -11. Let z be 144 - -6*y\/2. Calculate the highest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/6 + 3*l**2\/2 - 9*l - 6. Let c(h) be the first derivative of r(h). Let d be -5 + 0 + -1 + 0. Give c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Let m = 139 - 116. Let c = -28 + m. Determine j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s = -2*n + 12, -17 = -3*n + 4*s. Let c(x) = -10*x**3 + x + 1. What are the prime factors of c(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2744 - 2743.9. What is the nearest to 0.1 in y, 10, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 63. Suppose -3*k - d*v = -2*k - 6181, 5*v = -2*k + 12347. Suppose -10*m + 4539 = -k. What is m rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20262, 20218, 20144, 20040, 19906, 19742, 19548?\n\"Answer: -15*j**2 + j + 20276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -94637, -378370, -851245, -1513256, -2364397, -3404662, -4634045?\n\"Answer: u**3 - 94577*u**2 - 9*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15. Suppose -q - 2*q + 24 = u. Suppose 2*a - 10 + 2 = 0. Calculate the smallest common multiple of a and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*x + 16481 = -4414 - 16636 + 3877 for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 24, -41 in ascending order.\nAnswer: -41, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6821529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2434981300 to the nearest 1000000.\nAnswer: -2435000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 13*l**2 - 12*l + 26. What is k(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 2*r**3)*(-2 - 1 + 2) + 201*r**3 - 299*r**3 + 21*r**2 - 214*r**3.\nAnswer: -314*r**3 + 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13 - 8) + -13 - -7 - -5) + 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 1212*h + 150082. What is d(-140)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (4 + -3)*0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -379885982.38371.\nAnswer: -379885977.38371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l + l - 2*f, 2*f = -5*l + 30. Let i(z) = 6*z**3 + 2*z**2 - z - 2. Let g be i(l). What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/10)\/(7\/490*4). List the prime factors of (5 + v\/(-4))*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from iimmmvm.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/3, 0, -1\/3, 1873?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 60 = -5*x. List the prime factors of ((-24)\/x)\/((-6)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3528 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89626 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 10:35 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5386528 divided by -31136\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x. Let p = 15 - x. Let h = -7 + 16. What is the remainder when p is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1581*k - 24*k**2 + 1581*k - 3 to the form r + s*k**2 + p*k and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 255 divided by -2\nAnswer: -255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287.1201 litres to millilitres.\nAnswer: 287120.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -i + a, 3*i + 5*a = 246 + 177. Solve 39 = 128*u - i*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + p + 1. Suppose -7*u + 32 = -3*u. Let j be u\/6*(-6)\/(-4). Let l be (1 - (2 - j))\/(-1). What is s(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 14. Let p be y(6). Let q = p - 8. Suppose q = 2*x - 3*d - 267, x + 0*x - 106 = -4*d. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 24 + -16 + 3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + ((-6)\/(-1) - 3). Let i be ((-3)\/(-9))\/((-24)\/m). What is the closest to 1 in -4, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33219042.\nAnswer: 2, 3, 31, 178597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 4*h**2 + 3*h + 4. Give k(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -58*x + 2. Calculate the remainder when 113 is divided by g(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 38*u + 43*u + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 332119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1352 and 2.\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g + g - 3*g. Let d(p) = 1 + 4 - 4. Let z(x) = -2*x + 6. Let f(u) = 6*d(u) - z(u). Calculate i(f(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2. Let l(d) = -977*d**2. Calculate l(y(n)).\nAnswer: -8793*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2771, 2, 0, 209.\nAnswer: -2771, 0, 2, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 129*l. Let m(t) = 8*t - 2. Determine c(m(p)).\nAnswer: 1032*p - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32747 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*w - 245*w - 144 = 0. Let y(z) = z**2 - 19*z + 2. Determine y(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 493 = -23*h + 2*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3146 - -3158. Solve -2*n + 9 + 2 = 3*s, -2*s + o = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125251 and 63?\nAnswer: 1127259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 137*v + 4364. What is the remainder when l(-104) is divided by 132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48690 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12555 (base 6) in base 5?\nAnswer: 30233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064081 less than 3.932973?\nAnswer: 1064084.932973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106? (a) -0.1 (b) -3 (c) 14 (d) 3\/14 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**9*j\/(j\/(j*j**2*j)))\/(j**(2\/9)*j)**(-21))\/((j**(-1\/12)*j**(-5)\/j)\/(j**7\/j**4)) assuming j is positive.\nAnswer: j**(203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1 = 4*l, 32 = 3*n - l. Solve -5*d + 9*y = 5*y, n = -4*d + y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/(o*o*(o*o**(-2\/45))\/o*o))\/o)))\/((o*o\/(o*o**(-7\/3)))\/o)*(o\/(o**21\/o))**(9\/8) assuming o is positive.\nAnswer: o**(-9599\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r + 6. Suppose -r*z + 3*h = -32, -z = 2*h - 0*h - 2. Let x(a) = 4*a - 35. Let p be x(z). Let q(n) = -n**2 + 4*n. Give q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19284.7mm to nanometers.\nAnswer: 19284700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*h**3 - 189182*h**2*x + h**2 + 9*x + 11828133 wrt h.\nAnswer: -249*h**2 - 378364*h*x + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/6)\/((-2)\/(-6)). Suppose 5*a - t = 3*g, 6*a = 2*g + 4*a + 6. Suppose -l = 2*f - 6*l - 94, -l - 110 = -g*f. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251419349 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v*v*v**(-3\/5))\/(((v*v**(-2\/11))\/v)\/v*v*v)**(-18) assuming v is positive.\nAnswer: v**(1217\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**4\/n*n)\/n**(-6))**(-2\/7)*n*n\/(n\/(n**(-2)\/n))*n\/(n*n\/((n*n*n**(1\/5))\/n))*n\/(n\/(((n*n\/(n\/(n*n**(-4))))\/n)\/n))*n**(-1\/10) assuming n is positive.\nAnswer: n**(-653\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*((((i\/((i\/((i\/(i**(9\/5)\/i))\/i*i))\/i))\/i)\/i)\/i)\/i)\/(i\/(i*i*i**(-4)\/i*i*i*i)*(i*i**(-1)*i)\/i) assuming i is positive.\nAnswer: i**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00123 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 221807 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b + 13a800?\nAnswer: 13a721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 21*a + 4. Let t(z) = -27*z - 3. Calculate -4*g(r) - 3*t(r).\nAnswer: -3*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 178*a**3 + 2 - 209*a**3.\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.57712 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 7}. Give prob of sequence sff.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 17*x**3 + 5*x**2 + 3*x - 2. Is f(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*(2 - (-8)\/(-10)). What is the third derivative of -33*c**2 - 10*c**4 + r*c**4 - 35*c**4 wrt c?\nAnswer: -648*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130 - 76*s + 130 + (3 + 1 + 0)*(0 + 3*s + 0) + 0*s + 4*s - 6*s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Suppose 5*u - u = 3*c + 14, -5 = 5*c - f*u. Calculate the greatest common factor of c and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Suppose t + 2*s = 1, -2*s + 4*s = -5*t - 3. Let a be g(t). Sort a, -5, 5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 166?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 16*y - 105. Let u be z(-21). Solve u = -a + 3*v - 14, v - 2 = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-29)*a)\/(a**(-20)\/a*a*a))\/((a*a**(-2\/9))\/(a\/(a\/(a*(a*a*a*a**(-23)*a*a*a*a)\/a*a)))) assuming a is positive.\nAnswer: a**(-223\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*s - 9548 = -1613, -23741 = -3*f - s. List the prime factors of f.\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/(13\/13)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**5 - 9690*x**4 + 44121*x**3 + 966996*x**2 + 1094532*x - 1170624 = 0. Calculate x.\nAnswer: -7, -2, 2\/3, 13, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 698480512 divided by 3\nAnswer: 698480512\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*f = -22, 2*f + 28 = 5*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/21, -1476, 0.5, -4\/13 in descending order.\nAnswer: 0.5, -1\/21, -4\/13, -1, -1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -1)\/(((-120)\/(-10))\/(-12)). Sort -10, t, -13 in increasing order.\nAnswer: -13, -10, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 45*v - 40*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2642*m - 7472*m - 888400 = 18873*m - 2547610 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99133?\nAnswer: 99133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27320556 + 1?\nAnswer: 27320557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-15) - ((-16)\/272 - (-3108)\/(-340)) - 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*d + 12 = 4*u, 2*d = 5*u - 29. Let z = u + -3. Suppose -3*m + z = m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37682*j**3 + 7*j**2 + 3020 wrt j.\nAnswer: -226092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 4\/6 - 352\/(-264). Which is greater: j or 4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -450*o - 19149. Give b(-43).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 3*r - 2*r + 0*r. Let q(v) be the first derivative of 1 + 11\/2*v**2 - 3*v**3 + 0*v. Give 7*i(s) + 3*q(s).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w + 6. Calculate a(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.180109 centimeters to nanometers.\nAnswer: 31801090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65695 divided by 5?\nAnswer: -13139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(1872) + 1) - (sqrt(1872) - (sqrt(1872)*3 + -3))**2) + (-5*-1*sqrt(1872)*-6 + -5)**2.\nAnswer: 3672*sqrt(13) + 1677325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-45))\/(96\/(-205)). Let z = 3\/32 + x. Which is the second biggest value? (a) 0.5 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 9. Suppose 0 = -5*h - 5*u + 355, 4*h - 5*h + x*u + 75 = 0. Calculate the greatest common divisor of 48 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 18*w - 89. Let i be g(10). Which is the nearest to -1? (a) -1 (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9420 = k, -5*r - 18 = 7. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/388 and 103\/24?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 7. Let q be m(-8). Is 13 a factor of 80\/q*(0 + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2011026*x**2 - 11*x + 43. Let p be v(4). Let d = p + -45546415. What is d rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/6 + (-1799)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90469.26 millilitres in litres?\nAnswer: 90.46926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1. Suppose -47*x = -30*x - 2295. Suppose x = 16*p + 55. Let d(i) = -2*i + 2. Calculate p*s(f) + d(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 6) to base 2\nAnswer: -100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, -4*j = -3*g - 0*g + 13. Let h(l) = l + 0 - 3 + 8. What is the units digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q - 4 + 4)*(-58 + 10 - 28).\nAnswer: 532*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 2, o: 4}. Give prob of sequence co.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2909 + 14492\/5. Let z = s - -57\/5. Factor 2\/5 - 4\/5*x + 0*x**2 - 2\/5*x**4 + z*x**3.\nAnswer: -2*(x - 1)**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from {o: 2, v: 2, l: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3708944\/7 or 529849?\nAnswer: 529849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -71. Let t = 68 - 43. Let x = b + t. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(2*d - 3 + 3)*(-d**4 - d**4 + 5*d**4) + (-10*d**2 + d**3 + 10*d**2)*(57*d**2 - 17*d**2 + 12*d**2).\nAnswer: 58*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -318000 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 3\/2*m**3 + 11\/4*m**4 + 5\/24*m**7 + 61\/48*m**6 + 0*m + 0 + 643\/240*m**5 + 98*m**2. Let x(f) = 0. Calculate f.\nAnswer: -2, -3\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2 - 1) + -1)*1. Suppose f + 4*b = -6, 3*b - 37 + 135 = -5*f. Let g = 27 + f. Put g, 4, x in ascending order.\nAnswer: x, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -30593*c + 1652031. Calculate o(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-260)\/(-13))\/(-10) + (-1)\/((-20)\/46). What is s in -s**3 + g*s + 0 - 1\/10*s**2 = 0?\nAnswer: -3\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.77 + 0.12.\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 5 (c) 2\/3 (d) 129 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227809 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 27 = c, 1346 - 1336 = 4*c + 2*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -60. Let h(l) = -1. Let g(v) = 4*v + 1. Let b(d) = d + 1. Let z(u) = b(u) - g(u). Determine m*h(q) + z(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2076 + 2334*y + 1352*y - 2076 to the form q*y + b and give q.\nAnswer: 3686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5*f**4\/2 + 10*f**3\/3 - 4. Find the third derivative of j(m) wrt m.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27a8a (base 15) to base 13.\nAnswer: 45bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/279 - ((-20)\/(-126) - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1419?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815404505100 + p**2 + 815404505100.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 86*r**3 - 68 - 4*r**2 + r**2.\nAnswer: -86*r**3 - 3*r**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let o(j) be the second derivative of -3*j + 0 - 1\/2*j**3 + 0*j**2. Calculate o(z(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40233440153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.37 (b) -4\/9 (c) -1 (d) 2 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 - 1\/12*s**4 + 0*s**5 + 0*s**3 + 1\/120*s**6 - 3*s**2 + 0*s. What is the second derivative of f(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -117470, 146 in descending order.\nAnswer: 146, 0, -117470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**7\/350 + n**6\/100 - n**5\/25 - n**4\/5 - 51*n**2. Factor b(k).\nAnswer: 3*k*(k - 2)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41987461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.062 and -3?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*s - 27. Suppose 22*v - 24 = s*v. Solve 4*u - 5*k + 5 = 0, -4*k = -5*u - v*k - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0249138 + -0.02581. Round k to five dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 2*n**2 + 2*n - 9 + 4*n**2 - 4. Let s(b) = -b**3 + 7*b**2 + 2*b - 13. Let x(g) = 2*h(g) - 3*s(g). Let j be x(9). Which is greater: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + c = -156 + 987, y - c - 368 - 358 + 677 = 0 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o - 7*o - 3*j, 3*o - 4*j - 8 = 0. Suppose -7*p + 14*p - 14 = o. Solve 2*m = -p*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 43 - 61*o**3 - 8*o + 29*o - 43.\nAnswer: -61*o**3 + 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1190 divide 19864914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47 * -0.3\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 31200185?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/240 and -79\/903680.\nAnswer: 2711040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12*w - 27. Let l be z(-2). Let c be (-27)\/9 - (l*2 - -1). Calculate the greatest common divisor of c and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -16*n**2. Suppose -u + 3*i - 8*i = -16, -4*u + 47 = 3*i. Let t(l) = -2*l - 8*l + 6*l + u*l. Determine t(r(d)).\nAnswer: -112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d = -88. Let h = -17 - d. Put -2, 1\/3, h in ascending order.\nAnswer: -2, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 2*b**3 - 5*b**3 - 7*b**3 - 4*b**3.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1936954 + -3271554. What is p rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = -5*o + o, 0 = 5*w + 4*o - 22. Let z be (0 - -2)*(-1)\/w. Let t(q) = -5*q**3 + 2*q**2 + 2*q + 1. Determine t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -14 - 192. Let t = 89 + y. Calculate the remainder when 18 - t - (-2 + 0) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 4:41 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:55 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/165 (b) -2 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 63465111?\nAnswer: -63465105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 7) + -10 + 1 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 6*x - 4*x + 2 - x + (1 - 1 + x)*(-105 + 105 + 22*x**2).\nAnswer: 20*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.941 - 0.059. What is the fourth biggest value in j, -3\/16, 1, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*q = -19100, 2*m + 13*q = 15*q + 7628. Calculate the highest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1900) + sqrt(1900) + 3) + (3 + sqrt(1900))**2*-6.\nAnswer: -11466 - 440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(-4) - 1\/4) + 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51548964.212 plus 0.114?\nAnswer: -51548964.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -537 - -532. What is the fourth smallest value in 0.2, -1\/5, u, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + 11. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105558245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8218, -8216, -8214, -8212?\nAnswer: -8210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/((-3)\/2))\/(-1). Let s = -941 - -919. Let u = x - s. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let x be -1 + (-9)\/1 + b. What is the units digit of 3 - (x + (-6)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725 by 197.\nAnswer: -725\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.443 in 0.1, 1, 4.61, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*x + 307. What is the highest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t - 1084*t**2 - 1304*t**3 - t - 331*t**3 + 3243*t**2 wrt t.\nAnswer: -9810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*m**2 + 291*m**2 - 87*m**2 - m**3 - 79*m**2 - 68*m**2 - 5*m in the form q*m**2 + x*m + v*m**3 + l and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*p + 16 = 0, 5*h + 292 - 280 = -3*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -12. Solve -3*y + 2 = b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-2 + -4) - 6) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215836 is divided by 215772?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = x - 39, -2*a - 3*x = -6*a + 170. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + 99 + -97.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/((-48)\/44) + -3)*-6. What is the greatest common divisor of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3146939647.\nAnswer: 311, 433, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.6651466 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by 175.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 74. Let d(i) = -i + 68. Determine f(d(q)).\nAnswer: -q**2 + 136*q - 4550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1026 divided by -9\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722\/26 - 0 - 20\/(-130) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*3*2)\/sqrt(4).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3899 - -11.14818625?\nAnswer: -3887.85181375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/84*160\/2?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35502 - -745544\/21. Which is the fifth smallest value? (a) -2 (b) j (c) -1\/2 (d) -59 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*g + 14714 = 0, -5*m + 16247 + 8264 = -4*g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282040 (base 11) to base 6.\nAnswer: -13250000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -12. Suppose -3*n = -4*l + m, -5*n + 7 = -3. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 924 or 0.249?\nAnswer: 924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(9) + sqrt(108)\/(-3*sqrt(12))))\/(sqrt(300) + (sqrt(300) + (1*sqrt(300) - sqrt(300)) - sqrt(300))*-3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4*w - 189*i**3 + i*w - 74*w wrt i.\nAnswer: -36*i**2*w - 1134*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 24*c**3 + 25*c**3 + 2*c**4 + c - 53*c**3 + 0 + 7*c**2 in the form d*c + u*c**4 + h + j*c**3 + s*c**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -0.4, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/142939622 and -145\/121668.\nAnswer: 857637732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxbxgbxxg. Give prob of picking 1 b and 1 x.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 708 + 804 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a**5)**(-7\/4) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 11413?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let l(a) = 1153*a - 64. Let y(j) = 4611*j - 240. Let k(w) = 15*l(w) - 4*y(w). Calculate t(k(x)).\nAnswer: -2640402*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4080907, 4080903, 4080897, 4080889, 4080879?\n\"Answer: -v**2 - v + 4080909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -59, 0, -168, 5 in ascending order.\nAnswer: -168, -59, -8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3*d = -20. Let k be (39963\/(-110))\/(-7) + (-3)\/(-30). What is the highest common factor of k and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17368806 and 507.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + v = -2*g - 146, 134 = 2*g + 2*v. Suppose g*c = 21*c - 250. Sort c, 0, -114.\nAnswer: -114, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - h + 3*h + (h - 4*h + h)*(-3 - 4 + 5) + 3*h + 1 + 3*h - 4*h)*(-5*h - 4*h + 3*h) in the form x*h + p + t*h**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6835.\nAnswer: -1\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 + 5*s + 5. Let n(v) = -4*v**2 - 3*v - 3. Let t(c) = -5*n(c) - 3*u(c). Let h(q) = -11*q. Calculate t(h(m)).\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -48. Which is smaller: y or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -6. Suppose 3 = p*i - 6. Solve -3*f + i = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lshhsub. What is prob of sequence buhl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 471917993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 57*b. Let j(r) = 631*r**2. What is d(j(k))?\nAnswer: 35967*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from rrrrriiighrirahiig.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -21708 not equal to -238803\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, 60, 121 in ascending order.\nAnswer: -5, 0, 5, 60, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 12. Let y = 10 - c. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 5. Let i = -36 - q. Let h = 37 - i. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 1, k: 4, c: 1, f: 2, e: 1}. What is prob of picking 2 f and 1 c?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + m + 340*m**2 + 674 - 341*m**2. Is k(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f - 93*f + 104*f = 66*f - 9462 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 2652?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -372826 divided by 1423?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - 0.5. Let y = u - -1. Let j = 9712 + -9711.8. Which is the nearest to y? (a) -0.05 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 593520 and 11184.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n + 3*r - 0, 4*n = 4*r. Let d(p) = p. Let t be d(11). What is the greatest common divisor of t and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 41408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 10. Let u be q(-6). Let g be (9\/6)\/(6\/u). Calculate the highest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -2 - 7\/9*w**3 - 5\/6*w**2 + 2\/3*w. Factor s(t).\nAnswer: -(t + 1)*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-9)\/2)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*z - 71*z - 7*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y**11))))\/y**6 assuming y is positive.\nAnswer: y**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24256 = 18*o - 26*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.83568 rounded to 1 decimal place?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -436 - -650. Calculate the remainder when j is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 6*v)*(45*v**2 + 113*v - 113*v) + 3*v**3 - 2*v**3 - 3*v**3.\nAnswer: 88*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3551.37 + 3552. Put -3, z, 0.2 in descending order.\nAnswer: z, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-2 - -2) + -1. Solve 0 = -d - 3*o - 8 + 1, -3*d + 2*o + 12 = s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196828535 divided by -196828535\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 + 963*d**3 + 79509*d**2 + 975681*d + 3256932 = 0. What is d?\nAnswer: -191, -116, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 231965 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-90)\/(-25))\/(9\/30). Let o(x) = 751*x - 7453. Let v be o(10). What is the highest common factor of z and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2190.9 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344874899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 568186253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54373 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(187) + sqrt(187)*-1)*1)\/(2*sqrt(44)) - (3*(sqrt(119)*-1 - sqrt(119)))\/(2*sqrt(63))) + 2)**2.\nAnswer: 4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 + 2. Let v be x(0). Suppose -n - 2*n - 4*a = -55, 4*a - 3 = n. Suppose v = 5*k - n. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36871684 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - (4 + (-1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -87.\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 136255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 177803464 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30674 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 59 = s, -3*s + 3*o = -6*s + 150. Let b = s + -44. Solve -3*y - 10 = 2*y, -3*g + b*y = -12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 769206336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**6 - 26*d**5 + 228*d**2 wrt d.\nAnswer: -720*d**3 - 1560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 6 - 18. Let x = l - 2. What is the second smallest value in 1\/2, 0.1, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose 0 = 2*r + n*r - 48. Suppose 11 - 5 = -3*l. Sort l, r, 4 in ascending order.\nAnswer: l, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 3)*(1 - 4 + 4) - 3 - 1 + 3)*(2 - 5 + 4)*(-16*o - 30*o + 26*o)*(o - 2*o + 3*o) + 25*o**2 + 21*o**2 - 23*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 35 = -7*k. Let y(n) = -n**2 + 7*n + 4. Let l be y(k). Let t be (-3)\/(l - (-27)\/(-6)). What is the greatest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23230 + 25718. What is the highest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 equal to 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = 5*n, -16 = 2*r - 3*r - 2*n. Calculate the smallest common multiple of r and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 times -0.522199?\nAnswer: 2.8198746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439 - 2191 + 452 + 408 + 5*c**2 + 447 + 445.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.04 > 212571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(1568) + 1 - ((0 + -1*sqrt(1568) - sqrt(1568)) + sqrt(1568) - sqrt(1568)))**2.\nAnswer: -42339 - 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, c: 2, e: 3, n: 10}. What is prob of picking 3 e?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*h + h + 17, -5*x + h - 13 = 0. Let i = 3 - 4. Which is the nearest to 0.2? (a) 0.4 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - 41?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18414 - (-1)\/(-1)) + -151 + 159?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 9*h = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 + (-3 - 0). Sort a, -13, 2.\nAnswer: -13, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280845 is divided by 1303.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/(-16) + 2\/(-8). Let g be (-244)\/v*9\/6. Let c = g + -14. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u\/(u\/(u**(2\/23)*u)))\/(u*u**(4\/5)*u))**(-38) assuming u is positive.\nAnswer: u**(-5624\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 10, 0, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*s - 18 = -3*o, -3*o - 3*s = -12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223d1 (base 16) to base 9.\nAnswer: 233333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1578, -1576, -1572, -1566, -1558?\n\"Answer: o**2 - o - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -370.8 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a = -117 - 55. Solve -20 = -a*f - 2*t, -4*f - 3*t = -2*t - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 - 95. Sort 3, a, -4 in increasing order.\nAnswer: -4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -359 - -358.7. What is the nearest to 1.4 in -2, u, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 748*v**5 + 4068*v**3 - 4068*v**3 + (-4*v**3 + 2*v**4 + 4*v**3)*(3*v - v - 4*v) + 1 - 1 - 2*v**5 + (-v**4 - 2*v**4 + v**4)*(-v - v + 0*v).\nAnswer: 746*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*m + 11 = -5*h - 92*m, -4*m + 8 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54526.\nAnswer: 2, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -701*v**2 + 575*v wrt v?\nAnswer: -1402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/45*(-87)\/116.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 + u + 23. What is the tens digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116646 is divided by 140.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 + 93?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*w = 10, 5*b - 10 = -w + 6*w. Let h be (-8)\/(-4) + -10 + b. Is (12 + 0)*(-46)\/h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + u + 3 = 0, -a - 4*u - 18 = -0*a. Let b = 9 + -17. Let j be 34\/8 - 6\/b. What is the third biggest value in a, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 332859*r - 13. Let m be s(7). Round m to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 11*g + 220. Determine x(-24).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 7*m - 2*m - 138, 2*m - 36 = 4*s. Find the second derivative of 4*g + 48*g**4 - 61*g**4 + m*g - 111*g**4 wrt g.\nAnswer: -1488*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 139 = 203 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211220 + -2?\nAnswer: -211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.0013 + 0.0013. Let j = -13\/5 - -107\/45. Sort n, j, 0.3, -4.\nAnswer: n, -4, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 442.255289\nAnswer: 132.6765867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zzyzzfyzfyzpzpz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298\/7 - -128\/3. Which is the biggest value? (a) 1 (b) 226 (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/448 and ((-77)\/6468)\/(12\/99)?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -7. Let c(u) = 88*u - 2. Let j be c(0). Sort 4, j, q in decreasing order.\nAnswer: 4, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2 - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/306 and 73\/255.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, 4, 203, 482?\n\"Answer: 40*k**2 - k - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) -2\/79 (c) -0.4 (d) -1113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*d + 168 = -1550*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 9*z - 99 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {z: 2, s: 8, y: 5, d: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224759*b = 226894*b + 290360 for b.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/(-36))\/(6032\/(-3013) - -2). Let g = u + 672. What is the common denominator of g and 38\/93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((228\/(-72) + 3)*51 + 13)\/((-21)\/(-6)). Suppose s*q**4 + 9\/7*q**2 + 0*q + 0 - 30\/7*q**3 = 0. What is q?\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y\/(y*y\/((y**(-5)\/y)\/y)*y*y)))\/y))**(3\/7)\/((y**(-3)*y)\/(y\/y**(4\/11))) assuming y is positive.\nAnswer: y**(-94\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -3 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 4*i**2 + 52 - 3*i**2 - 5*i**2 - 96 + 2*i**2 as f*i**3 + x*i**2 + p*i + y and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) + (836\/(-605))\/(-2)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3167810238 and -94.\nAnswer: 3167810144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + -2234114402?\nAnswer: -2234114143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/78*(-33)\/2*(-80490)\/(-29513)?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 885655 to the power of 1\/2, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/290533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49500930 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 32 = -2*l, 2*l = p - 16 + 40. Suppose u = 3*u - 10. What is the remainder when l is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**7\/210 - w**6\/24 + w**5\/10 - 374*w**2. Suppose f(u) = 0. What is u?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21340, -23170, -25002, -26836, -28672?\n\"Answer: -f**2 - 1827*f - 19512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 4444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.4 - 1.6. Let u = -22.00000009 - x. What is u rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -32*o**2 - 1\/2*o**3 + 0 + 0*o + 11\/60*o**5 + 17\/24*o**4. Is s(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 14*w**2 - 31*w - 13. Let y be j(-11). What is the remainder when 76 - (y\/70)\/((-2)\/(-12)) is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + (sqrt(242)*-1*-5 - sqrt(242)) - sqrt(242)) + -4)**2.\nAnswer: -352*sqrt(2) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/783)\/((-478)\/6931). Suppose 2\/9*u**3 - f*u + 2\/9*u**4 + 0 - 2\/9*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2082*c**3*n + 400594762*c**3 + 39418*c*n - 2*n wrt n?\nAnswer: 2082*c**3 + 39418*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94.12 + 3.12. Let y = 90.7 + o. What is the nearest to -0.08 in -3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011010 (base 2) to base 8.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3*y**2 - 24529*c**3 - 1470*y**2 - 4*y + 13 wrt c?\nAnswer: 3*c**2*y**2 - 73587*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 greater than or equal to 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 + 72 = 0. Let v be 11\/q - ((-202)\/10)\/1. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1406 - 567899\nAnswer: -566493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 823459448 a multiple of 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 3, -1.2, 0.55 in increasing order.\nAnswer: -3, -1.2, -0.5, 0.55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7352291?\nAnswer: 107, 68713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 2 - 2)*(-g + 4*g - 2*g) - 2849*g**2 - 1655*g**4 + 1391*g**2 + 1456*g**2.\nAnswer: -1654*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -644, -660, -652, -608, -516?\n\"Answer: 2*q**3 - 30*q - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(2 - 9175\/4585). Let a = v - -88985\/11004. Find the common denominator of a and 27\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5320.125707 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 8:24 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9*(2 + 1). Suppose -2*v - 6 = -w*y, -y + v = 3*y - 6. What is the smallest value in 1\/2, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 8 = -27*d - 29 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*y - 74 - 16, 0 = -3*y. Calculate the remainder when (-5)\/20*-454 + (-4 - (-91)\/26) is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -23, -22, 5, 73, -5, -10 in decreasing order.\nAnswer: 73, 5, -4, -5, -10, -22, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 22*p - 63. Let f be s(20). Let v(z) = -44*z - 185. Does 95 divide v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:19 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(363) - 5*sqrt(108)) + (sqrt(216)\/sqrt(2) - sqrt(9)\/sqrt(3)*2).\nAnswer: -15*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5837976105+-0.392\nAnswer: -5837976105.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7*z + 87 = -3*z, 4*m = -z + 303. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-16))\/(128\/(-2048)). Solve 10*q - 20 = -3*d + 6*q, 20 = -y*d + 4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 3)*(-4)\/(-8). Let d be (2 - b - -212) + (3 - 1). Suppose 5*m = -l - 93 + 650, -2*m + 3*l = -d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 194, 639, 1490, 2879?\n\"Answer: 22*c**3 + 5*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, -29.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14*3\/2. Let r be 3\/8*(-12)\/(-18). Suppose 14 + 6 = -5*u. What is the third biggest value in r, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -832*l - 1237*l + 8 - 8 - 844*l to w*l + v and give w.\nAnswer: -2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 22*z + 41. Let a be m(-9). Let q be 5\/7*a + (-68)\/119. Suppose 8*r + q - 3 = 0. Solve s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11001110?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 not equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 1465. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34602 and 18688?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:02 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or -1\/12?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(175) + -1 - (-4 + (sqrt(21)\/sqrt(3))**2 - (sqrt(7) + 0 + sqrt(7) + -5)**2)).\nAnswer: -60*sqrt(7) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -163 (b) 3 (c) -0.24 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/19)\/(t*t\/t**(2\/15)*t)*(t**38\/t)\/t**(3\/14) assuming t is positive.\nAnswer: t**(135127\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 - -2 - 1. Suppose 4*v - h*v = 10. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68 - -1)\/((-3)\/15). Suppose -3*y + 127 + 93 = -2*k, 3*k - h = -5*y. Suppose -3*d = 2*d - y. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039320796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -38.4. What is the second smallest value in -2\/3, 1\/7, -5, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let d(f) = -w + 3*f**2 - 2*f + 0*f**2 - 4*f. Is d(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 189 (b) -1 (c) 3 (d) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -316 + 314. Is -18 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36376 and 12380.\nAnswer: 112583720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1) + 2 - (-4)\/2. Let u be 1 - a - (-468)\/36. Calculate the highest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 5*h**2 - 3. Let w be ((-2)\/(-7) - (-102)\/(-63))*-3. Let q(n) = 4*n**3 - 11*n**2 - 7. Determine w*q(y) - 9*u(y).\nAnswer: -2*y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*u**2 - 29*u**3 + 985 - 36*u**2 + 27*u**4 - 20*u**3 - 57*u**2 + 50*u**3 wrt u.\nAnswer: 108*u**3 + 3*u**2 - 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4697 divided by -6.\nAnswer: 4697\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-12))\/(-1))\/(504\/(-288))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42 plus -18?\nAnswer: -16.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -64\/7 and 25\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8592 and 4656.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) -0.1 (c) 0.4 (d) -8 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 80879.04 months?\nAnswer: 67.3992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.1 (b) 1 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 91, 320, 763, 1492, 2579?\n\"Answer: 12*z**3 - z**2 + 6*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 - 5\/4*y**3 - y**2 + 5*y + 1\/4*y**4 = 0?\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -103. Let q(v) = -v. What is q(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, a: 1, n: 1, o: 1, l: 2, y: 6}. Give prob of sequence oaw.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*j**2 - 27*j + 31*j - 3*j**2 + (-4 + 1 + 2)*(2 - 2*j**2 - 2).\nAnswer: j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -16, -490\/33.\nAnswer: -21, -16, -490\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2472, 3116, 3774, 4452, 5156, 5892, 6666?\n\"Answer: t**3 + t**2 + 634*t + 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3\/5 + 7162224*s**2\/5 + 3206133762048*s\/5 + 38472573791232\/5 = 0. Calculate s.\nAnswer: -895272, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 7*k + 2. Suppose 5*v = 4*g + 4 - 1, -18 = -g + 5*v. Let n be i(g). Calculate the highest common factor of n and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-14 + 1 + 7 + (0 - -8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67977 and 9498437.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/10)\/((-36)\/10). Let z = -1\/18 - q. Let a = 3 - 1. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4100, 7, -6.\nAnswer: -6, -5, -2, 7, 4100","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*b - 51 + 8, 2*s - 22 = 2*b. Calculate the least common multiple of s and -26 + 29 - 5\/(10\/(-12)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 10:05 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i + 89235535 = 0. Let h = 26047107 + i. What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 21*v - 128. Let h be b(6). What is the greatest common factor of h and 2414?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72285.\nAnswer: 3, 5, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 16, 23, 30, 37, 44?\n\"Answer: 7*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = -67043 - 102157. What is o rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*z - 2968 + 2981, 3*c - z = 23 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914957467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**9\/60480 + c**7\/2520 - c**6\/720 - 4*c**5\/15 - 15*c**2 + 7*c. Let p(y) be the third derivative of j(y). What is p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2753059um to nanometers.\nAnswer: 275.3059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3092 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*g + 9, 23 = 5*r + 5*g - 7. Suppose d + 1 = 2, 227700003 = -3*m + r*d. What is m rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/44*198\/(-1). Suppose -g + 40 = q + 1, v = 3*q - 3*g. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266 divided by 1\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**29\/(u*u**12) assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3866, -7760, -11654, -15548, -19442, -23336?\n\"Answer: -3894*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 8*p**2 + 20*p - 24. Let i be h(7). Let m = i - -359\/2. What is the smallest value in 0.04, -3\/2, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -352, -355?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001948839532 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449440 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12*a**2 + 126*a**2 - 18 + 3.\nAnswer: 138*a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150674627 to the nearest integer?\nAnswer: 12275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154243 + 1?\nAnswer: 154244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 173189.5ml?\nAnswer: 173.1895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 4*i - 1. Let u be j(3). Let t = -5 + u. Let p = 3 + -2. Which is the smallest value? (a) t (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22656 + -22628. Solve -29*q = -n*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585190112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1619705, 1619683, 1619647, 1619597?\nAnswer: 1619533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*n + 152 + n**2 - 152 to p + h*n**2 + v*n and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - v - 2099 - 3*v**2 + 2096 to a + s*v**2 + g*v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 8 + -9 + 9 + 9 + -4 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**2\/2 + 622*g + 178.\nAnswer: -(g - 178)*(7*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -15*k**5 + 84261*k**4 - 157730937*k**3 + 98308231539*k**2 + 157823707452*k - 78848707404 = 0?\nAnswer: -2, 2\/5, 1873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22692 and 613416.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 - 35*a - 3. Let c(o) = 4*o**2 + 22*o + 2. Let r(k) = 8*c(k) + 5*y(k). Calculate r(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -c + 13. Let q = 37 + c. What is the third biggest value in -5, 2, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(6216\/(-48))*(-15470)\/(-130).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**25\/((((t**5\/t)\/t)\/t)\/t**(2\/5))*t**(3\/5)\/t**6*t**3\/(t*t*t\/t**(-7\/3)) assuming t is positive.\nAnswer: t**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 34 - 7) + (5 - 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/123 and 59\/410.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54077323 * -4\nAnswer: 216309292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u**2 - 2*u - 2 - 2*u + 2*u**2 + 2*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 197, 441, 783, 1223?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let o(l) = l**2 + 8*l + 3. Let g be o(-7). Let x be (g\/6)\/(2\/(-9)). Let c(i) = 5*i - x*i - i. Determine c(q(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)*h*h)**(-48))**21 assuming h is positive.\nAnswer: h**(-1728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 29923683*t**2. Let u(b) = 2*b**2. What is u(m(c))?\nAnswer: 1790853608568978*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 3*y**3 - 2*y**3 + 3 - 6*y**2. Let c be 26\/(-39)*(-3)\/1. Suppose 2*s = -c*i + 18, 2 = 4*i - 3*i. Calculate a(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 4. Let n be 1*-4 - (-6 - -8). Let y be m(n). Is 3\/5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 3*m + m. Let i(h) be the third derivative of -h**5\/20 + h**2. Calculate g(i(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, g: 3, e: 1, h: 1}. Give prob of picking 3 g and 1 e.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let d = p + -2. Which is the closest to d? (a) 4 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5332*y**2 - 5*y + 4097. Let w(c) = 7998*c**2 + 8*c - 6148. Let d(g) = -8*s(g) - 5*w(g). What is the first derivative of d(f) wrt f?\nAnswer: 5332*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 4*x + 3. Let i be q(-2). Suppose -i*j + 0*j = -36. What is the remainder when 33 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*((-5)\/(-10) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021200001 (base 3) in base 9?\nAnswer: -67601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 11*s**2 + 10*s + 4. Calculate the remainder when 15 is divided by w(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 1\/2*r**2 + 1\/6*r**3 + 0 + 2*r. Find the first derivative of j(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 880, 782, 622, 400, 116?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -302.4302841 to one dp.\nAnswer: -302.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -107*d. Let x(b) = -294*b - 3. What is x(o(n))?\nAnswer: 31458*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-882)\/(-140))*84\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 - 2*l**4 - 4*l**3 + 8*l**2.\nAnswer: l**2*(l - 2)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*s - 103577, 1022*s + 62148 = 3*g + 1025*s. List the prime factors of g.\nAnswer: 3, 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-370)\/(-16) + (-7)\/56. Suppose 0 = 3*b + 3*l + 2*l - c, 0 = l - 4. Solve -5*z + b = -4*s - 7, -z = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102815625 rounded to 5 dps?\nAnswer: -0.10282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 471555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*m + 312*m - 5*j = -66930, -2*j + 66942 = 5*m. List the prime factors of m.\nAnswer: 2, 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000010 (base 3) to base 14.\nAnswer: 10c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -30.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3010 is divided by 1224?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*((h**(2\/15)\/h)\/h*h*h)\/h*h)\/(h*((h*h*h**(1\/4))\/h*h)\/h*h)*h**1*h**(8\/5) assuming h is positive.\nAnswer: h**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133254 is divided by 33307.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88 and 0.5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c*c\/c**(-1\/7))\/((c*c**(-2\/17)*c)\/c)**(-49))**(2\/55) assuming c is positive.\nAnswer: c**(1922\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.025? (a) -1\/5 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91326 is divided by 30315.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*l - l + 8, 0 = -5*s + 5*l - 10. Is s greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/24 + t**3\/12 - t**2\/2 - t + 1. Let a(y) be the first derivative of h(y). Solve a(f) = 0 for f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, 769, -3.\nAnswer: -6, -3, -0.1, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/96677 and -44\/13811.\nAnswer: 96677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2658, 5322, 7986, 10656, 13338, 16038, 18762?\n\"Answer: o**3 - 6*o**2 + 2675*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + 18*a - 65. Calculate x(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2222 and 33\/7.\nAnswer: 15554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.079 and -99.\nAnswer: 7.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 7*k**4\/12 - 43*k**3\/6 - 29*k - 2. Find the second derivative of u(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 16585 - 16581 - 3*m.\nAnswer: -10*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m - 5. Let g be l(-6). Let a(f) be the second derivative of f**4\/6 - f**3\/3 + f**2\/2 - 5*f. Let j be a(g). Solve 4*u = -21 + j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = f, -f - 3*s + 20 = 2*s. Suppose -4*w = -9*w - f. Put -4, w, 5 in ascending order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 4. Suppose 2*t - 1 = 13. Suppose -t = -5*m - 3*b - 1, 2*m - 4*b - 18 = 0. Calculate d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - z + 12 = z, 2*z = -4*j + 8. Suppose -a = j*a. Suppose -2*x - 2*x + 192 = a. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3 = 3*r, 0*t - 5*t + 27 = -2*r. Let c = r - -18. List the prime factors of 4*22\/c*3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*w + 8, -2*t - 4 + 0 = -3*w. Let x = 0 + 3. Suppose -x*l + 5*q + 7 = 0, 0 = 4*l - 3*l - 4*q. Solve 0 = -i + a - w + 4, -3*i + 13 = -l*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - 2 - (-25 - -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 58*h + 49538. What are the prime factors of h?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 50620784?\nAnswer: -50620787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/979 + 947\/7832. Which is the closest to -0.3? (a) -7 (b) k (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/3 - 50824*x**4\/3 - 57359206*x**3\/3 - 7050257268*x**2 - 859384269432*x + 866453663376 = 0 for x.\nAnswer: -366, 1, 26509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:02 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1006 = -6*i + 2*i, -i - a + 256 = 0. Let o = i + -156. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - (-35735)\/(-49). Let k = v + 2238. Suppose k = -3*z + 6*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6*b. Suppose b = 3*i - 2*q + 6*q + 17, -5*q = 25. Let m = 10.3 - 10. Sort m, i, -3\/8 in descending order.\nAnswer: i, m, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*d = 756, -3*a + 0*d = d - 577. Does 41 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 840, 1, 3, 4, 10.\nAnswer: 1, 3, 4, 10, 840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - m - 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3142 and 16848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**5\/30 + y**4\/12 - y**2\/6 + y\/6 - 5. Determine h so that z(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62517 = -2209*c - 134084 for c.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**3 + 19*t**2 - 2*t + 13. Let g(r) = 5*r**3 + 10*r**2 - r + 7. Give 11*g(d) - 6*i(d).\nAnswer: d**3 - 4*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-28)*2)\/(1\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103515503 (base 6) in base 16?\nAnswer: 1c659f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 17*c - 46. Determine w(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a52 + -3?\nAnswer: a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose 0 = 4*r + r - 10. What is the third derivative of g**5 + 4*g**2 + r*g**2 - k*g**2 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11960\/3 - 4071. Let n(k) = 14*k + 15. Let r be n(5). Let i = r + h. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139233 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/10 (c) -2\/7 (d) 1\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11062?\nAnswer: 2, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = f + 3*i, 3*f = -3*i + 3. Let s be (-1)\/1*(1 + f). Let u = 2.1 - 1.1. What is the nearest to 0 in -4, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x + 33. Let h be m(-4). Solve h*d + 134 = 134 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*s - 197 = 374, -2*w - 4*s - 298 = 0. Let f = -41 - w. What is the highest common factor of f and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 + 9*q**2 - 8*q - 12. Let r be y(-5). Let j = r + 628. Solve -2*m - 5*v - 10 - 4 = 0, 0 = 3*v + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58706\/(-720626) + 2\/(-93)*-3?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24687 (b) 38 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/35 - (-9)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/18)\/(-11)*(-8)\/(-6). Sort -5, 3\/2, 1\/9, y.\nAnswer: -5, y, 1\/9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(2736) + -5 + 3).\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2521 is divided by 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (-1 - -1)) + -2. Suppose w + 4*n = 4*w - 26, -9 = 3*w + k*n. Let s = -1234 - -1249. Solve w*v - s = 7*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -51. Let m = 99 + k. Let v(c) = 98 - c - m. Let x(g) = -2*g - 6. What is x(v(d))?\nAnswer: 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 5)*(-12*x**3 - 9*x**3 - 7*x**3) - 5*x**3 + 6*x**3 + 7*x**3.\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14714, 14723, 14732?\nAnswer: 14741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1587, -2225, -3273, -4725, -6575, -8817, -11445?\n\"Answer: n**3 - 211*n**2 - 12*n - 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21779d2 - 5?\nAnswer: -21779d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*y**2 - 66*y + 69*y - 14 - 5 + 3 as i + p*y**2 + z*y and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15720167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3\/2) + (-2 - -6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u**3 - 2*u**2 + 2*u + 3. Let y = 56 - 57. Let r be b(y). Solve 0 = 14*v - r*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 11*v = -266 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 108*g - 102*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 92974652.\nAnswer: -1\/46487326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 5. Let k(m) = m + 6. Let p(z) = -3*k(z) - 4*l(z). Calculate p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 0.9596795277?\nAnswer: -0.9596795277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44\/7 - -46\/7. Let x(r) = r + 5. Suppose 5*g = -0*g - 20. Let d be x(g). Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -240. Calculate the highest common divisor of 43 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.27 - 922.17. What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022101121010 (base 3) to base 11.\nAnswer: 1325255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-12)*((-48)\/(-2))\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 762330924 a multiple of 3204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5893 by 2877.\nAnswer: 5893\/2877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2609242.\nAnswer: 2609242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**6\/120 + s**5\/120 + 8*s**3\/3 - 4. Let y(r) be the third derivative of o(r). What is the units digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.2 times 218654?\nAnswer: -5291426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 16) to base 12.\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.066265 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/70168056 and -157\/4758.\nAnswer: 912184728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**5\/20 + p**4\/6 + p + 44. Calculate v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88.6 + -89. Let f = -4.6 + x. Which is the closest to 1\/2? (a) -1\/3 (b) -10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 330922 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596764.5 millilitres to litres.\nAnswer: 596.7645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 + -15.4. Let k = t - -11.347. Let h = -11.047 + k. Is h at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145406279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b63 - 26?\nAnswer: 3b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*b = -5, -3*k + 1357*b - 1353*b = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57.77 - 57.75. Put 0.34, 0.5, p, 4\/7, 0.2 in ascending order.\nAnswer: p, 0.2, 0.34, 0.5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.73004 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 - 16*y**2 - 25*y - 27. Let r be o(22). Let s = r - 9660. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 9*n**2 + 8*n - 7. Let m(z) = -9*z - 11. Let g be m(-2). What are the prime factors of q(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (71\/1)\/((3 + -2)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.27 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/7 < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*k**2 - 70*k**2 + 1 + 0 in the form p + h*k + w*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -740048.1 * -5.\nAnswer: 3700240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013204825 rounded to 6 dps?\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 5 + -3 + 3. Let l be 1\/(-9)*-7 + 48\/216. Suppose -y - l + 31 = h*v, 2*v = 2*y - 30. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/8 of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2401596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 5*d - 2. Let w be i(1). Solve 2*l + w = -8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6 - 3\/9. Suppose 5*m + h - 16 = 0, n*m - 5 = -4*h + 5. Solve m*l = -l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - p + 1, 7 = 5*a - p + 2*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25*d + 2. Let m be p(-1). Let c = 16 - 16. Let f be (-1 + c)\/(m\/2). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -76. Let p be (m\/15)\/(2\/(-30)). Solve 5 - 20 = -5*l - p*a, -a + 3 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3.02. Let i = 1\/450 + 889\/4950. Sort 0.4, i, f.\nAnswer: f, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256, 1283, 1334, 1415, 1532, 1691, 1898?\nAnswer: 2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = -86. Let z = c + -18. Solve -z*o = 29 - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 6. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.82706734 rounded to three decimal places?\nAnswer: -24.827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028*x = 1018*x + 160. Solve -7*i - x = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/8*2 + -4. Suppose -2*j = -b*j + 6. Factor -43 - 4*m**5 - 24*m**3 - 4*m + 43 + 16*m**4 + 16*m**j.\nAnswer: -4*m*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6052\/374 + -1 + -15. Which is the nearest to 2\/3? (a) -1 (b) y (c) -2017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -236. Calculate the remainder when t is divided by (-2)\/6 - (-76)\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let l(q) = -26*q**2 + 5*q. Let w(n) = n**2 - n. Let m(i) = -l(i) - 5*w(i). Calculate m(g(c)).\nAnswer: 84*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from uwuuuwuu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 229577568 divided by -2?\nAnswer: -114788784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/1782 + (20\/(-9) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -r + 84 - 73, -k + 2 = 2*r. Solve 28*b = 3*x + 24*b, 3*b = -r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 + 65*m + 1. Let i(j) = 6*j**2 - 51*j. Give 5*i(y) + 4*q(y).\nAnswer: 2*y**2 + 5*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 17\/2*s**6 + 0*s**5 - 52\/3*s**3 + 0*s - 57 + 0*s**4 + 0*s**2. What is the third derivative of w(y) wrt y?\nAnswer: 3060*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 3, 17 in descending order.\nAnswer: 17, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 9. Let s(f) = v*f - 11*f - 9*f. Let h(y) = 3*y. Suppose o - 14 = -4*t, -5*o - 5*t + 77 = -8. Calculate o*h(w) + 4*s(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**6\/180 - d**5\/20 + d**4\/6 - 2*d**3 - 2. Let x(t) be the third derivative of f(t). Suppose x(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or -2\/433?\nAnswer: -2\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -1071 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1450\/80 - (-5)\/(-40). Suppose 5*b - d = 2, -b - 5*d = -m + 2. Suppose -2*c + 5*c = 12. Calculate the greatest common factor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -234*s**2 - 23162*s + 396 = 0.\nAnswer: -99, 2\/117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*n - 14*n - 8. Which is the nearest to -2\/3? (a) -2 (b) n (c) 5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/8 - -25\/24. Let b(l) be the first derivative of 0*l**2 - 1\/4*l**4 + 1 + d*l**3 + 0*l. What is the third derivative of b(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*i - 6*p + 498, -5*i + 3*p - 832 = 0. Let b = -97 - i. Round b to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 + 84. Suppose -z*j - 390 = -243*j. Sort -4, j, 3 in ascending order.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503190411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 448, 715, 962, 1183, 1372, 1523?\nAnswer: 1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/11 - 160*z**4\/11 + 2536*z**3\/11 - 13580*z**2\/11 + 16662*z\/11 + 32940\/11 = 0.\nAnswer: -1, 5, 6, 9, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -290622\/17.\nAnswer: -290622\/17, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjz. Give prob of picking 3 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 8*z + 5. Let q = 612 - 606. Determine p(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*m - 2*g - 3, -4*m - 10 = g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -541.3 - -540.9. Which is the third biggest value? (a) z (b) 0.09 (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.299822 + 0.3. Round q to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*(j\/j**13)\/j)\/j)**(2\/79) assuming j is positive.\nAnswer: j**(-22\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-15))\/(2576\/4690). Let w = 1\/46 - j. Factor w*l - 3\/2*l**2 + 0 + 3\/4*l**3.\nAnswer: 3*l*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 2*u - u - 13*u in the form y*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 10*y**3\/3 - 55*y**2\/2 - 11*y + 9. Determine v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let p(o) = 5*o**2 + 3*o. Calculate p(y(l)).\nAnswer: 5*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, d: 1, n: 3, e: 1, o: 5}. Give prob of sequence iiod.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) 5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-80)\/96*(-32)\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) + (-6)\/(-5). Which is the biggest value? (a) k (b) 1.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)*u**(-10\/7)\/u assuming u is positive.\nAnswer: u**(-75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + z - 3*s + 16 = 0, 3*s + 4 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30 - -1)*2\/(-2). Let l = u - -33. Put -0.3, -2, l, -18 in decreasing order.\nAnswer: l, -0.3, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 + (22 - -1) + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + 0.15. Let y = r - -4.93. Let g = 0.06 - -0.04. Which is the smallest value? (a) -1\/7 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*m - 12, x + 3*x + 5*m = 15. Let r be -2 + x + -1 + 3. Suppose 2*s = -s - 3, r = 2*n - 4*s - 118. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -40. Suppose i*n + 2*n = 3*n. Suppose 4*z - 3*j + 6 = -j, n = -j + 5. Solve 2*t + 5 = -p + z, 0 = -4*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1. Let d(s) = 4*s + 4. Let k(t) = -d(t) + 4*z(t). Let q(x) = -x**2 + 2*x. Let b(p) = 2*p**2 - 2*p. Let y(o) = 3*b(o) + 3*q(o). Calculate y(k(m)).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111\/5 - -22. Let h = 3\/3928 - 1967\/3928. Which is the closest to h? (a) 3 (b) -1\/6 (c) k (d) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - (0 + -9 + (15 - 5))) + -2 + 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n + 4*j + 18 = 0, -5*n = 2*j - 90. Are 97\/5 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 3. Suppose 5*g - 10 = 5*m - 30, -2*g = -m + 13. Let r = g + 11. Calculate c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*b = 56 - 12, 4*j - 28 = -4*b. Let d(i) be the second derivative of -i**4\/6 + 11*i**3\/3 - 5*i**2 - i - 24. Is d(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3335547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323 (base 7) to base 16.\nAnswer: -1fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/7, 0.3, 33 in decreasing order.\nAnswer: 33, 0.3, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlrr when four letters picked without replacement from {l: 1, f: 1, v: 1, n: 1, r: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.1 (b) -19.32 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, i: 1}. Give prob of picking 2 q and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) - (-2952)\/162. Suppose -6*f = 3*f - y. Solve f*c - 2 = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h - 171. Let l be i(22). Let o(x) = 4*x**2 - 8*x. Let v(y) = -2*y**2 + 4*y - 1. Let q(t) = -4*o(t) - 7*v(t). Determine q(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/15 and -43\/5745048?\nAnswer: 28725240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -656 - -1509. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 9. Let u(s) = -s + 2. Let l(w) = 2*o(w) - 9*u(w). Let r(y) be the first derivative of 23*y**2\/2 - 6. Calculate l(r(c)).\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -8*i**5\/15 + 45*i**4\/2 + 34*i**3\/3 + 707*i**2 + i. Suppose f(p) = 0. What is p?\nAnswer: -1\/8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.060039 weeks?\nAnswer: 10.086552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 319623, 5.\nAnswer: -5, 5, 319623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215633451*l**3*o**2 + 12*l**3 - l*o**2 + 6033*l*o - 348 wrt o.\nAnswer: -431266902*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.870690033 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-18) - (-10925)\/(-3933).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26772 = 4*s - 23008. Suppose 16*y = 435 + s. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94697133 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -39484*u - 355351. Calculate a(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + d - 35*d**2 - 10 - 2 - 7*d**2 to the form k + l*d**2 + h*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 2*m**2 - 4*m. Let l be f(-3). Let j = 65 + -31. Suppose 2*p - 2*k = 6 - 24, -4*p + 5*k = j. Put p, 4, l, 1 in increasing order.\nAnswer: p, 1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 354281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110 - -21202210133?\nAnswer: 21202203023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750585 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 0*z**4 - 3*z**4 + (3*z - 3*z - z)*(-2*z**3 - z**3 - z**3) - 2*z + 2*z - 2*z**4.\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003001 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + -4) - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-24)*2*6. What is the tens digit of (4\/m)\/((-2)\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46508269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 2*q + 32 - 126 = 0, -2*d + 4*q - 4 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -580.1 - -580. Which is the closest to 0.02? (a) 2 (b) 3\/2 (c) 0.05 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 13*j + 10. Let i be 1\/(-2) - ((-39)\/6)\/(-1). What is the units digit of r(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9 = -s. Let y be -15 + -3*2\/s. Let i = y + 21. What is the greatest common factor of 20 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5\/5 + 28*s**4\/5 - 228*s**3\/5 - 556*s**2\/5 + 224*s\/5 + 528\/5 = 0. Calculate s.\nAnswer: -11, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13994, 27994, 41994?\n\"Answer: 14000*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13563\/13 - 1043. Let q(a) be the first derivative of 6\/13*a + m*a**2 + 2\/39*a**3 + 1. Determine x so that q(x) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:50 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135899821 to the nearest integer?\nAnswer: 11658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 10 + 7*b**4 - b**4 wrt b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:49 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*m + 5*m + 0*m)*(2 + 0 - 1 + (18 - 1 - 3)*(4 + 1 - 4)*(-2 - 4 + 4)) in the form p + u*m and give u.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(156\/12 - 10 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 4*t**2 - 2*t - 7*t**2 - 3*t. What is b(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19153063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -272 times -7.131\nAnswer: 1939.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d**(-9)*d))*d))**(4\/5)\/((d\/d**(-2\/11))\/(d\/((d**19\/d)\/d))))**25 assuming d is positive.\nAnswer: d**(-2965\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*j + 15, -4*j + 3*z - 15 = -6. Let b be (10\/(j + -5))\/2. What is the tens digit of (2 + 5*-3)*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - u**3 - 4*u**2 + u**4 + 5 - 2*u**3 to the form y*u + d*u**2 + a*u**3 + q + o*u**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221.1 + 221. Let o = -142298 + 2137783\/15. Let l = 221 - o. What is the biggest value in r, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -p + x, x = -0*x. Let z = p + 86. Let s = 133 + z. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:08 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 420377.\nAnswer: 1\/420377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2. Let t(y) = -y - 7. Let x(i) = 2*t(i) + 7*u(i). Let o(p) = -3*p - 3. Let z be o(-2). Let q(v) = -z + 3 + v**2. Calculate x(q(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.94401 months in decades?\nAnswer: 1.75786675","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 14*v - 4*v - 22. Let p be t(5). Calculate the remainder when 9 is divided by -1*((-13)\/3 - (-1)\/p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3605661 (base 7) to base 3.\nAnswer: 212011022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18811731, -18811730, -18811729, -18811728, -18811727, -18811726?\nAnswer: -18811725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g**2 - 2*g - g**2 - 3*g**2 + 106*g**3 - 3*g**2 to the form h*g**3 + a*g**2 + u + w*g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.0435 times 0.1\nAnswer: 0.20435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 40*h**2 - 174*h - 15. Let u be x(35). What is the highest common divisor of u and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -9*h + 4*a + 768, 1010 = 5*h + 5*a. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772003 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1195878916 divided by -10309301.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174049705 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -142?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**2 + 0 + 13*t - 1\/2*t**3. Let o be 2 + ((-3)\/(-3) - 5). Let p(d) = -39*d + 27. Calculate o*p(r) + 27*h(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 76, -4, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -203*u**2 - 35*u + 35. Let z(j) be the first derivative of 4*j**3 + j**2 - 2*j - 311. Calculate -2*s(k) - 35*z(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 3, -5, -2\/9, 1.6, -1\/20?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**3\/3 - p**2\/2 + 2. Let g be o(3). Let j be (0 - -1)\/(2\/132). Calculate the greatest common divisor of j and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234088955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1791.2 + -558469?\nAnswer: -560260.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799563 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0*b - 11*b**2 + 2 - 13*b - b**3 + 0 - 3*b. What are the prime factors of t(-10)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 12*n**2 + 11*n - 16. What is r(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -0.1, 5\/20846, 0 in descending order.\nAnswer: 5\/20846, 0, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -33\/217771 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2249 + 2249 - 99*h)*(0*h + 7*h + 2*h) + 0*h**2 - h**2 + 0*h**2 + (-3*h + 3*h - 2*h**2)*(-3 + 2 + 2) in the form g + u*h + i*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i**3 - 5*i**2 + 5*i - 5. Let j(d) be the third derivative of -13*d**6\/40 - 3*d**5\/10 + 3*d**4\/4 - 3*d**3 - 35*d**2. Calculate -5*j(u) + 18*l(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33587 is divided by 11 - 57\/((-399)\/112).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -26.3058, 45\/8, -1?\nAnswer: -26.3058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(0 - 1\/4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 84 - 2*x - 87 - 83 + 254 + 14*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8480 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 5*u - 1. Let s be p(5). Let r(f) = 4*f**3 + 1. Let h be r(s). Let a(x) = x**3 + 4*x**2 + x + 3. Determine a(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 - (-2 - (9 + 1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1563 or 1565?\nAnswer: 1565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -216, -200, -176, -144?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 13*p + 119 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287.0097 nanograms to milligrams.\nAnswer: 0.0002870097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 - v**3 - 6 + v + 5 + v**4 + 3 in the form j*v**3 + m + x*v**4 + f*v + l*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -25. Suppose -l*f = -86 - 26. Let n = f + 27. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 2*q - 134. Let i be t(0). Let b = i - -226. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g - 32. Let y(n) = 8*n. Let v be y(g). Suppose 0 = -5*r - 14 + 54. Calculate the greatest common factor of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2. Let u(l) be the second derivative of 11*l**5\/120 - 259*l**3\/6 + 98*l. Let m(r) be the second derivative of u(r). Give m(q(b)).\nAnswer: 154*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144631880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-15))\/(1\/15). Suppose -y*m + 3*m = 18. What is the tens digit of (4\/6)\/(m\/(-153))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33926 and 6340.680008?\nAnswer: 40266.680008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -64*(-3)\/6*(0 - -72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3868.024ml?\nAnswer: 3.868024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + 1*sqrt(77))*-5))\/((sqrt(132)*1)\/sqrt(12))*4 - ((-2 + sqrt(343)*1)**2 + 3)*-6.\nAnswer: -208*sqrt(7) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l*l**(-6\/7))\/(l**(-2)\/l)**(-1\/27)*(l**(-1\/4))**(-3\/43)\/(l*l**(1\/4))**40 assuming l is positive.\nAnswer: l**(-476251\/10836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Let r(a) = -a + 4. Let q be r(-3). Let x = q + -1. What is the smallest common multiple of t and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g + 420. Determine w(19).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 114 = -96. Solve -y + 4*y = o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 10*v**2 + v + 12. Let r be l(-10). Solve r*w = 6*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2184 and 25096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2832)\/(-354))\/((-3)\/(-10)*(-10)\/(-15)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 3*s**2 - 3*s)*(1 + 3 + 2)*(-94*s - 90*s - 58*s) + s**3 - 3*s**3 + 0*s**3 as l + x*s + o*s**2 + k*s**3 and give k.\nAnswer: -4358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299441077 * 0.2.\nAnswer: -59888215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 + -5 - 9. List the prime factors of (-79)\/(-4) - 3\/z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 + 6*y**3 + 8*y**2 - 18*y + 6. Let c be h(-17). What is the tens digit of c - -3 - (-72 + 2\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 4*r**2 + 6*r + 7. Let w = -167 - -172. Suppose w*n = 3*s - 5, 0*s - 3*n = -5*s + 19. What is the smallest common multiple of s and b(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*c - 16, -2*l - 3*l + 20 = c. Suppose 0 = -l*a + a. Suppose -3 = -a*z - 3*z. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -815, -807, -799?\n\"Answer: 8*z - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351050 and 694960.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 5709*b**2 - 45480*b.\nAnswer: -3*b*(b + 8)*(b + 1895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25352 is divided by 6336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99226756*l**5*y**3 - l*y**2 - 2*l*y - y**3 + 602297*y**2 + y + 1 wrt l?\nAnswer: -1984535120*l**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*b + 6, 5 = 3*b - 6*b + q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 77\nAnswer: -52\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 1 (c) -0.76947 (d) 22\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:34 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1\/3*r**3 + 0 + 0*r**2 + 2*r. Let h(i) be the first derivative of 17*i**2 + 633. Determine t(h(l)).\nAnswer: -68*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 743777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6969.81 and -4.\nAnswer: 6965.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1343 + -541. Let q = 1408 - d. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahohhuohhhuhoooohho. What is prob of picking 1 u and 1 a?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12066926 and 96638?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2 + 141*d + 4. What is the units digit of t(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2. Let a(i) = -8013 + 8013 + 466*i. Determine a(z(f)).\nAnswer: -1864*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*((-36)\/10)\/((-38)\/95).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3611556*x**2 + 4284979*x wrt x.\nAnswer: -7223112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -8 - ((-152)\/(-456))\/((-2)\/42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64026.28 milligrams to tonnes.\nAnswer: 0.00006402628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1315*a + 6 - 1316*a - 1306*a - 1306*a + 5237*a.\nAnswer: -6*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24544567, -24544566, -24544565, -24544564, -24544563, -24544562?\nAnswer: -24544561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3547*p + 3534*p - 41*p**2 - 75*p**2 to w + r*p + t*p**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5 - 115*y**4 + 852*y**3 + 4692*y**2 + 5104*y = 0. What is y?\nAnswer: -44, -2, 0, 29\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-42) + 0 + 44\/6. Suppose -4*l + u = -2*x, l - 10 = x - 3*l. Solve -x*h + 3 - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182049*z + 364014*z - 181971*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36051780 and 1284036.\nAnswer: 468673140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 417, 1439, 3433, 6723?\n\"Answer: 54*o**3 - 4*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56546385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-110)*-5*5 - -3. Suppose 9*j = -x*j + 20*j. Let q = 108 - 3565\/33. Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 6*t**2 + 3*t + 1. Let q be d(-3). Let o = 3 - 5. Let b be ((-4)\/(-6))\/(o\/(-15)). Solve 1 = -b*u - q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3*x**3 - 2*d**3 + 2*d*x**3 - 10*d*x + 3 wrt d?\nAnswer: 24*d*x**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.215 - -110.785. Let o = p + -1. Let y = o - 110.00000089. What is y rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*t**2 - 2377*h*t - 2012*h + 3 wrt t?\nAnswer: 4*h*t - 2377*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 24*31\/(-1240) - ((-20143)\/5 + 3)?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -551.872 and -4?\nAnswer: 2207.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, -13, -1\/4 in decreasing order.\nAnswer: 6\/13, -1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*q + 2 + 268*q - 92*q - 87*q.\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/12 - z**3\/2 + 4*z. Let l(p) = p**2 - p. Let t(d) = -6*l(d) + 3*o(d). Find j such that t(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010000 - -10010111?\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -36, 0, -4 in ascending order.\nAnswer: -114, -36, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1032, 4312, 10016, 18336, 29464?\n\"Answer: 32*s**3 + 1020*s**2 - 4*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + a - 40 = -3*a, -2*a - 2 = -3*p. Let l be 0\/(p\/((-4)\/(-3))). Suppose f - 33 - 40 = z, l = 4*f + 3*z - 313. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 13*o**2 - 69*o + 16. Let v be m(-10). Solve v = 3*g + 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5143 and 49099.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1148*f - 174 - 1149*f + 174. Let u(d) = -682*d. Give z(u(t)).\nAnswer: 682*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - a - 40 = -7*i - a, a = -0*a + 4*a - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12816000 rounded to the nearest one hundred thousand?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2228.77 and 3.\nAnswer: 6686.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjajf. What is prob of sequence ffja?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36320380743384*y**4 - 181597158435924*y**3 - 23726198322*y**2 - 1033287*y - 15 = 0. What is y?\nAnswer: -1\/22962, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1430\/104 + ((-2)\/(-8) - 1). What is the highest common divisor of 143 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -137 and 1?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/126144 and 113\/5256.\nAnswer: 126144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 52*z + 10*z.\nAnswer: -50*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49405 is divided by 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 16, -0.1, 7 in descending order.\nAnswer: 16, 7, 3, -0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -43*n**2 + 28*n + 11. Let w(h) = 151*h**2 - 87*h - 35. Let o(v) = 2*w(v) + 7*z(v). Calculate o(-23).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.4 - 4.4. Let f = 1.05 - 0.05. What is the biggest value in m, -2, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:14 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 167) + 37 + 13.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (1 - 39) + -69 + 78?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 - k - 5. Let d(l) = 4*l**2 + 2. Let a(i) = 22*i + 225. Let f be a(-10). What is f*d(h) + 2*v(h)?\nAnswer: 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/22 - ((-9)\/1)\/3. Solve -p = g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t**2 - 2*t - 7. Let l(p) = -7*p**2 - 2*p - 6. Let j = 1 - -4. Let h(i) = j*w(i) - 6*l(i). What is the lowest common multiple of 9 and h(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -78*h + 2. Let y be a(4). Calculate the common denominator of 101\/8 and 2\/(-8) - y\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184403 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Let l be ((-199)\/7)\/1 + (-39)\/(-91). List the prime factors of v\/(-6)*126\/l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11771825 a multiple of 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(3\/2)*y)\/y)\/(y**(3\/10)\/y))**(1\/59))**(4\/9))**47 assuming y is positive.\nAnswer: y**(2068\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 3) to base 9\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*o + 959*o + 69738 = -9458 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z + 2. Suppose z*j + 5*u - 20 = 0, 4*j - 2*j - 3*u + 7 = 0. Let m(d) = -d**3 - 2*d + 1. Determine m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**5 + 5*b**2\/2 + 6. Find the second derivative of v(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(1118\/(-104) - -11). Let f be (-4)\/(-4) + (-6)\/(-2). Suppose 5*k - 31 = 3*p, 5*p + 9 = -k + f*k. Solve u*d + k = -2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from yyyfyfxyf.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**6\/420 + s**4\/84 + 5*s**2\/2 - 5. Let v(b) be the second derivative of y(b). Factor v(t).\nAnswer: -2*t*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9351, -7620, -5889?\n\"Answer: 1731*t - 11082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-17\/4)\/v)\/v)**29)**(-13\/8) assuming v is positive.\nAnswer: v**(9425\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2314279 and 189695?\nAnswer: 11571395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 25, -3622, 2, -2\/15, -4, 1\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3350 - 2294. Suppose -7*j + 35 = -14. Suppose -p = -j*p + m. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 + 20*u**3 - 46*u**3 - 29*u**3.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -25. Let l(t) = -t**2 + t + 4. Let y be l(0). Sort y, 0, p in descending order.\nAnswer: p, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u**2 + 3*u - 4*u + 2*u)*(10*u**2 + 4*u**2 - 4*u**2).\nAnswer: -30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494051 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v + 0*v + (3 - 6 + 5)*(2 + 2*v - 2) + 0*v - 3*v + v)*(-12*v**2 + 8*v**2 + 3*v**2 + 3*v).\nAnswer: -5*v**3 + 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8765.322 times 0.18\nAnswer: 1577.75796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*d + 20 = 13*c - 20*c, c + 2*d + 16 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 41882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 71 = -41*f + 7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1134 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let d(o) = 7*o**3 + 2*o - 3. Let z(j) = d(j) - 3*g(j). Let q(r) = 3*r - 70. Let m be q(23). Determine z(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*1*sqrt(847) + ((-2*sqrt(126)\/sqrt(3))\/(sqrt(42)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: 28 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 13 = b, 38*b - 36*b - 5*j - 2 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27166 + -11?\nAnswer: 27155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 54 - 206*p**2 - 180 + 66 + 60. Let o(z) = -z**2. Determine o(r(q)).\nAnswer: -42436*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - 8 = 2*v, -2*g - 4*v - 8 = 0. What is the lowest common multiple of 11 and 1*(2 + g + 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n**2 - 3*n - 18*n - 17*n**2 + 18*n + (0*n**2 + 0*n**2 - 2*n**2)*(-3 + 3 - 2) + 2*n**2 - 5*n**2 + n**2)*(n**3 - 1 + 1).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2.882.\nAnswer: 0.8646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2 + 9718*d + 33316?\nAnswer: 2*d + 9718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:15 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, r: 2, s: 1, o: 4, m: 2}. What is prob of sequence ro?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10\/8) - (26100\/500 + 2 + -56)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 375. Let g = 2415\/8 + z. Is 0 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - -16) + 31 - (0 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-15)*(-6)\/(-4). Let d be (-30)\/(a\/(16\/(-3))). Let u = -23 + d. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -25. Suppose -4*g + 0*g + 400 = r. Solve -g - 6*f + 51*f + 4*f**3 + 36*f**2 + 15*f = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 21230*o**3 - 2 + 21349*o**3 + 4*o**4 - 41971*o**3 - o in the form l*o**2 + k*o**3 + m*o**4 + i*o + h and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7060057 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6519 = 6981. Let w be ((-10)\/3)\/((-3)\/g). What is w rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**22)**(2\/25) assuming y is positive.\nAnswer: y**(-22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 3. Let o(w) be the second derivative of -w**3 - 5*w**2 + 2*w. Let i(m) = -20*k(m) - 6*o(m). Let p(r) = -2*r**2. Calculate p(i(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 104. Suppose 0 = 3*p - 5*m - 10 - 18, -d = -4*p + 3*m. Let w(s) = -2*s**2 + s. What is w(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -30824.234?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 15) to base 10\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -1256, -1830, -2348, -2792, -3144, -3386?\nAnswer: -3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 398899024.6 and -0.05.\nAnswer: 398899024.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -126223 (c) 1 (d) -2 (e) 1\/4 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 9.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-1 - 2) - 2. Suppose j + 4*u - 10 = 0, 0 = -t*j + 3*j - 3*u. Suppose -3*z + 71 = j*k, -3*z + 53 - 204 = -4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.31273 millennia to centuries.\nAnswer: 903.1273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 16a?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -93*q**3 + 37*q**2 - 142*q + 68. Determine h(3).\nAnswer: -2536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**5 + 12*t**4 + 8*t**3 - 5*t**2 - 15*t - 4. Let j(k) = 8*k**5 + 12*k**4 + 8*k**3 - 4*k**2 - 16*k - 4. Let o(v) = 3*j(v) - 4*r(v). Factor o(l).\nAnswer: -4*(l - 1)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2800?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 211*y**2. Suppose r = -0*o + 4*o - 7, -5 = -5*r. Let a(f) = 3077*f + o*f**2 - 3077*f. Calculate l(a(d)).\nAnswer: 844*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -9*x**4 - 7*x**3\/3 + x**2 - 5*x - 3. Let r be d(-6). Let m = r + -1307. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -31*d**2 - 2*d - 1. What is f(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*f**3*p**3 + 2*f**3*p**2 + 55*f**2 wrt p.\nAnswer: -306*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 64*d**2 + 2253*d - 217. Determine c(-35).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 151\nAnswer: -6191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44010\/66 + 4\/22.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - -45. Let w = q + -19. Does 12 divide 30\/15*w\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:37 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*b - 26 + 5 = 0, 21 = 3*b. Let n(d) = -16*d - 12. Let x(c) = -5*c - 4. What is r*x(s) - 2*n(s)?\nAnswer: -3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/36*4344\/905?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8310 divide 126478200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4242 + -3.9242. What is the second biggest value in -12\/7, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 + 7*v + 3. Let g be u(6). Solve 5*f + 0*f = -5*a, 4*a - 5*f = -g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 31, -3\/7, -0.5, -0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9145 is divided by 459?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 4 (c) 5 (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/126 + 4*g**7\/105 + g**6\/36 - 4*g**5\/45 - g**4\/12 + 2*g**3\/9 + 562*g**2. Suppose k(s) = 0. What is s?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 5*v - 2. Let y be b(-5). Let a = 0 + y. Let d(t) = -3*t**2 + t. Let h(g) = -g**2 + g + 1. Let l(o) = -d(o) + h(o). Determine l(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:23 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5371 and -1.62.\nAnswer: -2.490102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 449*i + 240. Give k(0).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -5*(sqrt(104) + sqrt(104)*-2))\/sqrt(8) + -5 + (-1*sqrt(39))\/sqrt(3) + (sqrt(130) + (6*-1*sqrt(130) - sqrt(130)) + sqrt(130))\/(sqrt(90)*1).\nAnswer: -5 + 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 26. Let l(d) = -3*d + 52. Let y(f) = -f - 9. Let h be y(-4). Let u(c) = h*x(c) + 3*l(c). List the prime factors of u(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -31.024951.\nAnswer: -31.024951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 13*i**2 + 20*i**2 + 9*i**2 + 20*i - 20*i + (-2 + 2*i + 2)*(-5*i + 0*i + 3*i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5159113862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.161*0.042899.\nAnswer: 0.006906739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14622745 is divided by 4874238.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(3\/(-6) + 2). Suppose -10 = -2*b - x*b. Solve -6 = b*u - 2*s, 0*s - 4*s - 13 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 58449*c\/2 + 29223\/2.\nAnswer: 3*(c - 9741)*(2*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2) - (-624)\/152. Let v = 0.14 - 0.04. Which is the second biggest value? (a) -0.1 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 - 12 = 0. Let i = -30 + 22. Let b = i - w. Solve -3*t - 8 - 10 = -b*p, t + 2 = -p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvddvoqd. Give prob of sequence dv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 12:51 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -50593\/1360?\nAnswer: -50593\/1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let k = -5813\/2 + 2910. Let u(c) be the second derivative of 0*c**2 + 0 - k*c**3 - 18*c. Give v(u(f)).\nAnswer: -882*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 59. Let o be q(-16). Let h = -197 + 195. Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 18*p**2 + 69*p - 34. Let r(v) = v**3 + 10*v**2 - 35*v + 17. Let m(t) = 7*r(t) + 4*y(t). What is the remainder when m(-8) is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 - -250324.7956\nAnswer: 250324.4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 512230727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -324*o**2 + 6*o - 13. Let g(u) = -646*u**2 + 11*u - 24. Determine -6*g(f) + 11*k(f).\nAnswer: 312*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20310113120 (base 4) to base 5\nAnswer: 1042433030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 55324724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2\/9*o + 1\/9*o**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*p - 1. Let j be ((-2)\/4)\/(3\/(-24)). What are the prime factors of 283\/j + p\/8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93744 and 27.\nAnswer: 93744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 - 5 + 1 - 4782*v.\nAnswer: -4782*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.042*2\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11574, 11573, 11572, 11571, 11570?\n\"Answer: -j + 11575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -1\/4 (c) 3 (d) -5 (e) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a century in years?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 128 - 66 - 64 - 44*n**2 as l + y*n + i*n**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43852 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 107. Suppose 4*s - 12 = j. Let a be (843\/12)\/(3\/s). What is a rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-70))\/((-1)\/(-20)))\/(6\/(-14)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46536 - 28009. 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 closest to 4\/593 in 4, 48\/11, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 36 = -0*b - 2*o, -b + 3*o = -18. Suppose -m = 3*m + 4. Let u be m\/(1 + -2) - 1. Solve u = -5*l - b - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178078 (base 14) to base 13\nAnswer: -230315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34111 + 4?\nAnswer: -34103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60262 + -106657. Let z = v + 46333.079. Let k = z + 62. What is k rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -152, -228, -304, -380?\n\"Answer: -76*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 988 and 247?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*((-2)\/51)\/(23\/(-276)). Is y > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18 = n, 2*y = -0*n - 2*n. Suppose -4*f + y + 2 = -l, -f + 5 = l. Solve -u + 15 = -5*x, 0*u + l*u - 4*x - 23 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100.058 - -0.058. Let t = c - -58. Let q = t + 42. What is the biggest value in -0.2, -1\/3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -17. Differentiate 8*r**3 - 1 - 4 - i*r**3 - 8*r**4 wrt r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lffqqqlrqfgfffggfff. What is prob of picking 1 q, 1 l, and 2 g?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4664295*f**2 + 28*f - 17795 wrt f?\nAnswer: -9328590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w - 7. Suppose 3*f = -0 - 15. What is the units digit of j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 7. Let i be (45\/24)\/(n\/8). Solve -2*a - 8*a**2 + 25\/2*a**4 - i*a**3 + 0 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14332127.\nAnswer: 14332127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 5*j**8\/84 + j**6\/20 - 1811*j**4\/24 + 3833*j**2. Find the second derivative of i(v) wrt v.\nAnswer: 400*v**3 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6*x)\/(x**8\/x))\/((x**(-2\/3)*x)\/x*(x*x**(-2\/21)*x)\/x) assuming x is positive.\nAnswer: x**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:37 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 4*c + 2*c)*(c**3 + c**3 - 4*c**3 + 52*c) to z*c + r*c**4 + m*c**3 + f + t*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1039705*-94.\nAnswer: -97732270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 57 (c) 0.29 (d) -28 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.3 + -16.3. Which is the closest to -0.1? (a) r (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, l: 1, j: 1, d: 1}. Give prob of sequence ld.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8708680263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/(p**2\/p*p))\/p*p)\/p)**(-16))**(-19) assuming p is positive.\nAnswer: p**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-216)*42*(1 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 36987*s - 106. Let z(f) = -f. Determine z(y(g)).\nAnswer: -36987*g + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 5*t - 198. Let i = t + -10. Which is smaller: i or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppoppppppss. Give prob of picking 1 p and 2 s.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4616 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00426996666 rounded to 4 decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 0. Suppose 3*j - 1 - 27 = -5*v, -2*v + x = -3*j. Let m(d) = -d**3 + 3*d**2 + 14*d - 17. Let s be m(5). Put v, -3, s in ascending order.\nAnswer: -3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 6.8. Let m = d + -7. Let y = m + 0.2. Put -0.1, 0.4, y in decreasing order.\nAnswer: 0.4, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/121300 and -91\/72780.\nAnswer: 363900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8 bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/17370 and 59\/13896.\nAnswer: 69480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 587.261 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 365?\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 11. Let m be s(-7). Suppose -5*a + m*a + 4 = 0. What is the second derivative of -2*u**4 - u**4 + a*u - 2*u wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/10)*j**(9\/2)*j*j*j)\/((j**(-1\/8)*j*j)\/(j*j\/(j**(-5)*j)*j)) assuming j is positive.\nAnswer: j**(549\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 + 1023430*b**4 - 12281640*b**3 + 49127200*b**2 - 65503360*b = 0 for b.\nAnswer: -204698, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 25070219*w. Let y(u) = -3*u**2. Determine q(y(s)).\nAnswer: -75210657*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(4\/(-18)). Let u = -1 - -1. Solve -s*o + o = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -645742*i**3 + 84350*i**2 wrt i?\nAnswer: -3874452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19363.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316 + 316 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + (54\/42 - 1). Suppose 4*k + 501 - 11 = 3*m, n = 2*m - k - 335. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -11. Solve q*n = -n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 42. Let z(a) = -a**2 + 92*a - 1452. Let g be z(20). Calculate n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 16. Let f be j\/(-1*4\/2). Suppose 5*w - f = w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4911204 divided by -1227801?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1427, 2883, 4339, 5795?\n\"Answer: 1456*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 17, -2, 2 in decreasing order.\nAnswer: 37, 17, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000404 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 21*d - 33)*(-1 + 1 - 3).\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2148*h - 9351 - 63681 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286337108297.0560232 - 286336999931. Let y = d - 108366. Let q = y - 0.056. Round q to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 234676947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*a = 29778 + 51674, 2*k + 5*a = 32577. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/9 + 13450*a\/9 - 13456\/3 = 0.\nAnswer: -6728, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 - 144*v - 927. Let n(r) = 21*r**2 - 594*r - 3708. Give 8*n(s) - 33*q(s).\nAnswer: 3*s**2 + 927","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 195 = 186. Factor o*x**3 + 13*x**2 - 12*x**4 + 9*x**2 + 3*x**5 - 12*x - 10*x**2.\nAnswer: 3*x*(x - 2)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 > -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/2))**(5\/8) assuming y is positive.\nAnswer: y**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*f + 0*f**2 - 76*f**3 + 0*f**2 - 331*f + 666*f.\nAnswer: -76*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 - 8*d + 8. Let g = -20 + 13. Let x be n(g). Let j be (-103)\/x - 4\/30. Which is greater: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 12. Let q = -138 + 130. Let i be m(q). Put i, -5, 2, -3 in descending order.\nAnswer: 2, -3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38999 is divided by 609?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 times -1680?\nAnswer: -453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (3 - 6))\/1. Factor 2\/3*h**3 + 0*h + 1\/3*h**2 + 1\/3*h**4 + k.\nAnswer: h**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/10 - 23*z\/10 - 39\/5 = 0. Calculate z.\nAnswer: -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-15)*3\/2. Let w(p) = d*p + 2*p - 5*p - 2*p. Let u(g) = -6*g**2. Calculate w(u(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:38 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(162)\/sqrt(6) - sqrt(864)\/sqrt(2))*-1.\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 306*c + 21620. What is o(112)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - (-23 + 72)) + (23 - 1 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/15687)\/((-910)\/231 + 4) and 61\/81.\nAnswer: 6723","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**2\/2 + 889. Let p(d) = 8*d - 9. Calculate h(p(g)).\nAnswer: -8*g + 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/3, -1\/4, 3, -168\/55, -3\/7 in decreasing order.\nAnswer: 4, 3, 4\/3, -1\/4, -3\/7, -168\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3\/4 (c) -228 (d) 3 (e) -9 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 302448*g - 3326930. Calculate k(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 143?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)*(-2)\/2. Does 7 divide ((-90)\/(-3) - n)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {z: 1, q: 3, b: 6, o: 3, l: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -315309 greater than -315272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 + 5. Let k = 9.4 - 57.4. Let d = k - -45. Is d bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 1303 = -1268. Suppose -2*a + 3*c - 9 = 0, 5*a + 3*c - 10 = 4*c. Suppose -20 = -a*p + 25. Solve 4 = -2*t, -7*f + j*t = -2*f + p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 570 and 461130.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -2*s. Suppose -3*z = -s*z + 132. Suppose z = -q + 3*q. Solve -5*d + q = -3*t, -3*d + 30 = 5*t + 2*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 2\/11, 2\/7.\nAnswer: -20, 2\/11, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + o + 241 = -0*o, 4*o = c - 64. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.32, 0, -0.3, 0.08?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/24)\/(1859\/2288).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/783 and 7\/4176?\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 7*b**2 + 4*b - 24. Let m be j(7). Suppose -5*l = -2*u + 177, m*l + 50 = u - 31. List the prime factors of u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Let d = w - -10. Solve d = 5*c + 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50074 divided by -25037?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 9. Let q = 76 + d. What is the highest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e3da (base 15) to base 9\nAnswer: 334317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 10*l + 0*l)*(-l - l + 3*l) - l + 11*l**2 + l - 11*l**2 - 12*l**2 - 18*l**2 to the form f*l**2 + t + d*l and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 147. Let h(v) = 8 - 14*v - 7*v**2 - v**3 - 6*v**2 + 2*v**3 - v**2. Calculate the remainder when z is divided by h(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 0.047 (c) 1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -9\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 18. Suppose -3*s + 17 = 2*d - 7, 2*s = d + a. Solve 3*u - 1 = s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 5\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 180559, 180556, 180545, 180520, 180475?\n\"Answer: -j**3 + 2*j**2 - 2*j + 180560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1846096\nAnswer: -3\/1846096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4145 - 4208?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29791?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, 4, 14 in decreasing order.\nAnswer: 19, 14, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 2. Let x(m) be the first derivative of -m**2\/2 + 2*m + 22. Calculate 5*h(z) - 4*x(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 410. Suppose 0 = 2*l - g - 70. Let h(k) = -5*k - 75 + l + 6*k. Let a(u) = -1. Calculate 4*a(t) + 3*h(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)*b*b\/((b\/(b*(b*b**6)\/b))\/b)*((b*b*b*b*b**1)\/b*b)**47)**(-35) assuming b is positive.\nAnswer: b**(-111090\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18053325 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-k + 2*k - 2*k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkfklzzjztfllzzzf. Give prob of sequence zz.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 37*i + 136. What is y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-2)\/8*-2). Suppose -k = 5*s - 17, 7*k = 3*s + 3*k - 24. Is s at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 4\/3 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*k - 14 = -6*x - 4*k - 77, 3*x - 2*k = -21 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -900 by 180.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -18702 and -18701 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 + 645\/4. Let i be (3 - (-1751)\/(-91)) + (16 - 13). Let y = -174\/13 - i. Which is the second biggest value? (a) y (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3380*x**3 + 37*x**2 + 5*x - 4. Let t(k) = 6762*k**3 + 73*k**2 + 9*k - 7. Let q(w) = 7*h(w) - 4*t(w). Find the third derivative of q(b) wrt b.\nAnswer: -20328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 13) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 31 = 4*g, -c - c = g - 24. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) 17 (c) 2\/31 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 24. Suppose -4*l + c*p = -3, 2*l + 9 = 5*l + 3*p. Suppose 201 = n - 2*k, 0*n - 3*k = l*n - 430. What is the greatest common divisor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 - 142*x + 386. Calculate v(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14219 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 5*f + 2. Let h be t(-3). Let v = h - -4. Let r be 30\/7 - 4\/14. What is the smallest value in r, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/5)\/i)\/i**8*(((i**(1\/4)*i)\/i)\/i)**(-3\/19))\/((i**(-4)\/i**(1\/12))\/((i*i**0\/i)\/i**4)) assuming i is positive.\nAnswer: i**(-5357\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*k**2 + 42*k**2 + 40*k**2)*(-8*k - 6 + 6).\nAnswer: -224*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14445155 and 1682.\nAnswer: -14443473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Suppose a*x - 30 = -4*u, -2*u = -5*u - 2*x + 19. Let m(c) = 25*c + 53. Let v be m(-2). Solve -3*z - w = -2 + 1, -v*z - 19 = u*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2625, 3 in decreasing order.\nAnswer: 3, 0, -2625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135178161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110022 - 10100?\nAnswer: 1022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 - 913*i**2\/2 + 220171*i\/2 - 5298723\/2 = 0. What is i?\nAnswer: 27, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:58 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -606 divided by 6\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182 - 178. Suppose -8*v + 31 = -5*v - w*o, 19 = 3*v - o. Put v, -25, 0 in increasing order.\nAnswer: -25, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 337*d - 14. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/32)\/(-9))\/(56\/(-16)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 25. Let d(r) = r**2 - 2. Determine -2*d(v) + k(v).\nAnswer: -2*v**2 + 2*v - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:04 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -290, -321?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 17, m: 2}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 15 = 245083*m - 245084*m, 2*j - 6*m - 2 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -34 + 67 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 - 4*g + 4. Let t be k(4). Suppose 7*p - 21 = t*p. What is the second derivative of -7*v + 51 - p*v**2 - 51 wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -78*c**3 - 17*c**2 - 40*c - 18. Let z be i(-2). Solve -620*r + z*r = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -62, -70, -58, -20, 50, 158, 310?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:37 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, o: 3, a: 3, y: 3}. Give prob of sequence aoyo.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11 = y, 3*y - 4*j = -6*j. Let b be ((-4)\/(-6))\/(16\/(-168)). Let w be ((-364)\/(-16))\/b + 3. Which is bigger: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 20*l**3 - 3*l**2 - 166*l - 676. Let b be u(-4). Round b to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((11 - 0) + -6)*1. Suppose -15 = -d*l, 4*l = 3*z - 187 - 32. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232958 = -2*z + 4*b, -5*b = -2*z - 10*b + 233003. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22088?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 - 18014*l\/3 + 84196.\nAnswer: -2*(l - 14)*(l + 9021)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/7 - 77361336*n**2\/7 = 0. What is n?\nAnswer: 0, 19340334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3329, -5201, -8503, -13949, -22253, -34129, -50291?\nAnswer: -71453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 747573991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -4523.\nAnswer: 62\/4523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzvyvyvzyv. Give prob of picking 4 y.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000368094 rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - d + 8, 5*s = -5*d - 3 + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247579023 to the power of 1\/3, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/3 (c) 4\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000744767 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 5*m. Suppose 4*w = 2*c + 44, 3*w - 30 = 3*c - m*c. Suppose -3*r + w = -54. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221761 and 17867?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*k + 23. Solve 5*x = 3*y + 12, -3*y - 5*x = 3 - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/7 (b) 23 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -329*l**3 + 44*l**2 + 170*l + 11. Let f(q) = -165*q**3 + 24*q**2 + 85*q + 6. Let o(g) = -6*a(g) + 11*f(g). Find the second derivative of o(v) wrt v.\nAnswer: 954*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -125446\nAnswer: 2\/62723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a7808 + -6?\nAnswer: 1a7802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*a + 2)*(-3*a**2 - a**2 + 3*a**2)*(0 + 0 - a**2)*(-4 + 1 + 1).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*a + 84*a - 165 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*i = 7, 7*b - 2*b = b + 5*i - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 - 1 = 0. What is the greatest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 1, c: 1, u: 2, i: 1, q: 1}. Give prob of sequence cqqi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277598077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(6)*-5)\/((sqrt(96) - 2*sqrt(96))\/sqrt(12)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1580433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7339, 14680, 22021?\n\"Answer: 7341*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922 is divided by 62.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (368\/128 + (-1 - 1))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8613?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-54 + 54 + 9*n) + (3*n + 0*n - n)*(-1 + 6 - 3).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*w = -29, 3*i + 3*w = -w + 39 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129732 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 35 + 13 = -2*p, -133*p + 219*j = -131*p + 375*j + 1098 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 884 and 3068.\nAnswer: 52156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 0, 0*h - h = 4*c - 24. Suppose -63 = -2*l - c*l. Suppose 1 = -2*d + l. What is the highest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99341689 is divided by 3010354.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:03 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475798 equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*r + 1 = -2, 4*r - 12 = 0. Suppose -a*n + 27 = 2*c - 12, 5*c + 2*n = 45. Suppose 126 + 91 = c*f. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-1*2*-4)\/(-1*(sqrt(324) - (sqrt(324) + sqrt(324)*1 + sqrt(324))) - 6*(sqrt(324) - (sqrt(324) - (sqrt(324) - sqrt(324)*1)) - sqrt(324))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/6 + 101*k**5\/4 + 965*k**4\/4 + 1425*k**3\/2 + 2733*k. Suppose o(f) = 0. Calculate f.\nAnswer: -95, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 5*x + 2977 = 5*z, -2*z - 4*x = 1992. Are z and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82413.88um to kilometers.\nAnswer: 0.00008241388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 9027*t = 0. What is t?\nAnswer: -3009, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60321, -60232, -60143, -60054, -59965?\n\"Answer: 89*z - 60410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 0*x - 115 = 45. Suppose 0 = f + 3, 4*f + 56 = -0*i + 2*i. What is the least common multiple of x and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 5*z, -2*t + 25 = -7*t. Let y(r) = r + 8. Let j be y(z). Let h = j + -2. Solve u + 3*k - 17 = h, k + 0 = 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0*c - 1\/9*c**2 + 1\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 26323?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/11? (a) 1 (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, u: 4, e: 3, z: 2}. What is prob of picking 2 z, 1 u, and 1 n?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/5 - 224*k**2\/5 - 3782*k\/5 - 3556\/5 = 0 for k.\nAnswer: -14, -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 16*v**3 - v**2\/2 - 1. Suppose 0 = j + 2*m - 5*m - 5, 4*j = 2*m. Is r(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, a: 14}. What is prob of sequence da?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = 32*n + 132 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 84. Let f(n) = -293*n + 49. Is f(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 654 - 3288599\nAnswer: -3287945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -1*(-3 + 8))\/1. What is the hundreds digit of (-5 - (-6 + t))\/((-2)\/(-1022))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**2 + 8. Let w(j) = j**2 - j + 4. Let m be w(3). Suppose 7*q = m*q - 9. Let z(d) = -3*d. What is q*z(f) - 4*s(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d - 4. Let t(m) = -m**2. Let z(j) = 4*j - 30. Let s be z(8). Give s*t(q) - n(q).\nAnswer: -q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -179*0.25939\nAnswer: -46.43081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -133.9. Let y = -240872 - -240874. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) -0.2 (d) 0.64 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 5*z**2 - 165*z + 1028. Let y be u(6). Solve -y*t = b - 4, 3*t + 87 = 2*b + 93 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 949 + -865. What is the remainder when m is divided by (-2)\/(3\/3) - -19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5914 - 5914.000012806. Round l to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1150*c**5*m**2 - 15*c**2*m**2 - 56*c*m**2 - 474*m**2 wrt c.\nAnswer: -23000*c**3*m**2 - 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100 - 10001100101101010011000?\nAnswer: -10001100101101011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 2\/11, 0.1, -38, -178?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2724595 grams?\nAnswer: 272.4595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/23))**(-31\/4) assuming s is positive.\nAnswer: s**(31\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*p + 295*p = 2376 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evkvveqxuuxvuev. Give prob of picking 2 u and 1 k.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1839972115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Suppose -2*b = -x - 1, 43 = 5*x + w*b + 6. Let n = -38 - -43. What is the lowest common multiple of x and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 285*i + 824 wrt i?\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 9. Let s = -16 + d. Does 9 divide (10\/(-25))\/(s\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 3. Let m(j) = j**2 - 25*j + 161. Let v be m(11). What is d(v)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*p - 27*p - 33*p - 67*p - 31*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-14) + -2)\/(52\/182).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1003102 (base 4) to base 14\nAnswer: 17d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 + z + 3. Let b = -6 + 10. Calculate n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55165427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 - (2 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499826 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*x**2 + 1036*x**2 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/6 in 0, 27, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1519.014632 + 1519. Round o to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/36)\/((-2)\/18). Let t = u + -12. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/5 and -161\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6025*d - 2564*d + 762*d + 1162*d.\nAnswer: -6665*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 21 in descending order.\nAnswer: 21, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(242)*-6 + (sqrt(32) - sqrt(2))*-5 + (sqrt(8)\/sqrt(4))**2 + 3)*-3.\nAnswer: -15 + 441*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - sqrt(637)*-3) + 0 - (sqrt(637) - (sqrt(637) + sqrt(637) + (sqrt(637) + 1 - sqrt(637))))**2*5.\nAnswer: -3190 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*f + 21. Let h = f + -5. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 30140?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:35 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -3 + 4 - (-4 + 9 + 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -711 - -718. Let i be (-3)\/(d - 6) - -5. Solve 0 = -z + 5*j + 16, j + i*j + 10 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**4 + 1\/7*h**5 + 0 - 2\/7*h**3 + 1\/7*h + 0*h**2.\nAnswer: h*(h - 1)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2939? (a) -0.03 (b) -17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**35\/s*s*s**36)**(-20) assuming s is positive.\nAnswer: s**(-1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/12480*26*-156?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13383765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.13 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10766*c**5 + 488*c + 42.\nAnswer: 215320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 19, -24, -69, -116, -165, -216?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1439500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11233*q - 3724*q - 3726*q - 62*q**2 - 3783*q.\nAnswer: -62*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136760111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -703, 1 in descending order.\nAnswer: 1, -1, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 6 + 4. Let r be q\/5 + (-11)\/30. Let h = 0.9 + -1. Which is the third biggest value? (a) h (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(12\/(-7590))*20. Round p to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 11. Let z be v(-9). Suppose s - 37 = -2*s + c, -5*s + 2*c + z = 0. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 + 273*w + 41. Determine r(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 10*g**2 + 106.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 54238904?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 30 + 192. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.71546952 + 0.715. What is a rounded to 5 decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100 - -1233?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*f = 6, -3*r - 2*r - 5*f + 15 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q. Let y be g(4). Let i = y + 16. Suppose 0*a = -a + i. What is the smallest common multiple of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 17*d + 18. Let p be q(9). What are the prime factors of (2 - 5)*(-3675)\/p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 10*i**2 + 11*i + 4. Let w be l(11). Suppose 0 = -0*d + w*d - 16. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3420 = 4*l, 4*l - 3*z - 4128 + 715 = 0. What is the common denominator of 68\/3 and (3\/(-4))\/((-21)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 3*t - 2*t)*(488*t**2 - 1300*t**2 + 4580*t**2).\nAnswer: 3768*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.518 + -22.5. Let p = o + -5.018. Let s(y) = -y**2 + 2*y. Let v be s(2). What is the closest to -2\/17 in v, -3, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = 3*t. Suppose -4 = 4*q - 4*i, -2*q + t*i - 7 = -0*q. Suppose 4*g = 2*g + q. Solve -2*s + 2*h = 16, g*s + 5*h = -0*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/6 - 5*i**2\/2 + 11*i. Let z be w(-2). Let j be 0\/(-2)*(-1)\/z. Let t(p) = -p**3 + p**2 - 22. Give t(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 x, and 1 c when four letters picked without replacement from {x: 2, a: 6, c: 4, h: 1, w: 2, q: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -12 - 9) + -8 + 12 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18921*i**3\/4 + 659083*i**2\/2 + 441281*i\/4 - 35\/2 = 0 for i.\nAnswer: -1\/3, 1\/6307, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11560 divided by -8.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*249797196.\nAnswer: -49959439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -2 - (320 - 325).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:37 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 15 = -6*q. Suppose t = -3*o + 1, 0 = 4*o + q + 9. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/17 < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z + 750. Let p be a(68). Let y(f) be the second derivative of 0 + 3\/2*f**p + f - 1\/6*f**3. Calculate y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m - 3*v - 0, 2*m + 4*v = -14. Calculate the smallest common multiple of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200979 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h**2)*((164 - 164 + 12*h)*(7*h - 67 + 67) + 2*h - h**2 - 2*h + 2*h**2 + 3*h**2 - 3*h**2).\nAnswer: -85*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577639969.\nAnswer: 577639969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:14 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7083, 6965, 6847?\nAnswer: 6729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19229 = 520*z - 1051 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2143a9 (base 11) to base 9\nAnswer: -571800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 50*q**2 + 95*q + 150. Give v(48).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.808558 milligrams in grams?\nAnswer: 0.003808558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036461 rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -261 (b) 5 (c) -1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674055 times -0.05?\nAnswer: 83702.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 89011*x**4 - 1 + 89014*x**4 + 6*x**2 - 178105*x**4 as a + v*x**4 + d*x + l*x**2 + w*x**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*d**2*f*r**3 + 2*d**2*r**2 + 5*d**2 + 2*d*f - 1 wrt r.\nAnswer: -846*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 259513776 divided by 3604358?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2185 - -3?\nAnswer: -2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34938 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 19, -3, 1, -5, -16 in ascending order.\nAnswer: -16, -5, -3, 1, 19, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.171 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064383795.\nAnswer: 5, 11299, 36541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66 + 259470?\nAnswer: 259409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*k**2 + 46*k**2 - 2*k - 19906 - 11*k**2 - 18*k**2 + 19904 as y*k**2 + a*k + n and give y.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 41*k - 241. Let l(r) = 11*r - 81. Calculate -2*c(m) + 7*l(m).\nAnswer: -5*m - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:07 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(1872) + 2 + 0 - -4*(sqrt(1872)*-2 + -5 + (sqrt(1872) - -1*sqrt(1872)*-1)**2))*-1.\nAnswer: 15 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -342*n**3 + n**2 + 929*n - 15059935?\nAnswer: -1026*n**2 + 2*n + 929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17910 = 2*b - 36310, -4*b - 2*k = -108448. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4 + 8*s**3\/3 - 10*s**2 - 24*s + 6. Factor x(t).\nAnswer: 4*(t - 2)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -7. Let a(n) be the second derivative of n**5\/4 - n**4\/4 - n**3\/6 + 3*n**2\/2 - 489*n - 6. Let o(x) = 4*x**3 - 2*x**2 - x + 2. Give f*o(m) + 4*a(m).\nAnswer: -4*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = 0, 5*h - 5*f = 418 + 262. Let m = 189 - h. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7*a - 2*a = 45, 0 = -a - 5. Suppose -j*u + 24*u - 230 = 0. Solve u = -3*p - 5*q, 24 = -4*p + q - 6*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(684) + -4 + 3)*-3*1)**2*-4.\nAnswer: -99072 + 3456*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**6\/60 - k**4\/8 - k**2 + 2*k. Let w(r) be the first derivative of p(r). What is the second derivative of w(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {m: 1, y: 2, a: 3, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/24 - 2*v**3\/3 + 11*v**2. Give k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208573 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b - 4. Let c(o) = -3192*o**2 + 11172*o - 6384. Give c(k) - 1596*x(k).\nAnswer: -1596*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (-10 + (-11 - -12 - 0) - (-3 - 0)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0881 minus -0.439?\nAnswer: -2.6491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -465 or -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2583 and 492?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23978 + 45855. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-12 - (-17 + 17))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 17\/1 + 1 + 9\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -88. Suppose 8*p = l*p + 588. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/61021620 and 73\/260?\nAnswer: 793281060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.091? (a) 3 (b) 2 (c) 4 (d) 5\/4 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + k**3 + 0*k**3)*(-3 - 1 + 6)*(-1257 + 148 - 1615) to the form x*k**2 + i*k**3 + q*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 5*a + 4. What is m(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1344 and 76944?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(172\/264 + 2\/(-3)). What is t rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.876824 millennia in years?\nAnswer: 4876.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -2\/5, 3, 2 in descending order.\nAnswer: 3, 2, -2\/5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -952771\/24 + 39705. Calculate the common denominator of -57\/128 and t.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52318 is divided by 3736?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -261?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39488348 a multiple of 10333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 + 11*x - 4. Let i = -657 + 664. Let s(m) = -5*m**2 - 5*m + 2. Calculate i*s(y) + 3*c(y).\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61890602651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 93092, 3.\nAnswer: -3, 3, 5, 93092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -330*b + 15 - 1335 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(0 + 2 + 0) - 4 + 2 + 4)*(4 - 6 - 2)*(-11 - 7*s**2 + 11)*(5 - 5 + 1).\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*q = 20*q - 474*q + 15686 + 6394 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((1 - (11 - 11)) + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(((((o*o*o\/o**2)\/o)\/o)\/o*o)\/o)\/o)*o*o**(-2\/5)*o*((o**(2\/7)\/o)\/o)**(-2\/37))\/(o**2*(o*o**4)\/o)**49 assuming o is positive.\nAnswer: o**(-374653\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -87, -130, -173, -216, -259?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -511, -516, -521, -526?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 16*l - 2. Let u(o) = o**3 - 5*o**2 + 2*o - 9. Let v be u(5). Let z be t(v). Solve -2*s - z = 4*j - 3*j, 0 = -2*s - 4*j - 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:12 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/((-17)\/(-85)). Let t be (-1 + -53)\/((72\/(-6))\/o). Calculate the greatest common divisor of t and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a factor of 14847086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178288, -178287, -178276, -178249, -178200, -178123, -178012, -177861?\nAnswer: -177664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, 3, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -y + a, 2*y + a = 6. Suppose -y*o = -10 - 2. Let m(f) = -4. Let x(z) = -z - 1. Give o*x(v) - m(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 1 + 1)*(-n - 1 + 1) + 70*n**2 + 170*n**2 + 180*n**2 - 69*n**2 to the form p*n + l*n**2 + o and give l.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 6*v - 6*v**3 + 8*v**3)*(-v - v + 24*v).\nAnswer: 44*v**4 + 66*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 14*d + 9. What is the units digit of l(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 1, h: 2, b: 6, j: 4}. Give prob of sequence jj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*f + 5 + 13 = 0, -32 = -4*g + 2*f. Suppose g*s - 36 = 5*s. Let m = 2 + 0. Solve 4*k = 5*r + s, r = -m*r + 3*k - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-96)*-4)\/(2*2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000586332582 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -31 - 39 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 5*t**2 - 5*t. Let m be s(-4). Is 3\/(6\/m) + 29 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(847)*4 + sqrt(847) + 5 + -1).\nAnswer: 20 + 275*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49681537?\nAnswer: 73, 680569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**5*(i**7\/i)\/i)**(-22\/5)\/((i**(2\/3)\/i)**21)**(-28) assuming i is positive.\nAnswer: i**(-1222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/1*(-12)\/(-15) - 1. Suppose -k - 25 = -5*i, -2*i + r*k = -17 - 6. Solve -6 = -f + i*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is next in -3746, -7799, -11852, -15905, -19958?\nAnswer: -24011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - v + 4. Let m be p(0). Solve -m*l + 1 - 12 = w, 3*l - w = -3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 at least as big as 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -3, -1\/3, 4, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r - 721 + 951*r**5 - 12*r**4 - 301 - 2*r**4 + 14*r**4 wrt r?\nAnswer: 19020*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2. Let m(y) = -y**3 - 3*y**2 + 2*y + 1. Let t(b) = b**3 - 3*b**2 + b - 6. Let u be t(3). What is u*s(o) + m(o)?\nAnswer: -o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 8. Let l(m) = -6698 + 3*m + 13414 - 6700. Let c(z) = z**2 - 9*z + 8. Let t be c(6). Let u(x) = t*s(x) - 4*l(x). Differentiate u(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 130 = -120. Suppose 4*m + 0*m = v*t - 6, 0 = -t + 2. What is the remainder when (1 + -2)*-1 - -1 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9031 by -821.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*p - 26, 2*p = -2*b + 6*b + 22. Sort 5, 1.3, b in descending order.\nAnswer: 5, 1.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*n - 80. Suppose 4*s + l = -0*l + 141, 4*s = -4*l + 132. Suppose -4*k = 2*k - s. What is the highest common factor of k and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 + -298. Let h = -105 - o. Sort -2\/3, 0.4, h in descending order.\nAnswer: h, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 45\/(-2 + 3). Suppose n - 4*n + d = 0. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k + 1. Let b(w) = 10*w + 2. Suppose -2*h + 14 = -4*h. Let r(g) = h*v(g) + 5*b(g). What is the units digit of r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 1160 = 25*q. Suppose -4*l + 2 = 22. Put 3, q, l in descending order.\nAnswer: q, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 117 = -114 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8339 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -710, -1235, -1760, -2285?\nAnswer: -2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2*v*v**1*v)\/(v**(-2))**32 assuming v is positive.\nAnswer: v**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77224954?\nAnswer: 2, 617, 62581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l = 15. Solve b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -13.9, -1\/6, 0.2 in descending order.\nAnswer: 0.2, -1\/6, -1\/2, -13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13224\/(-380)*45\/27?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - u - 1. Calculate the remainder when 24 is divided by z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1316 - -1586. What is the greatest common divisor of 60 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 6\/14 - (-91683)\/1281?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433022 (base 6) in base 10?\nAnswer: -82310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01134574625 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/415 + 9553\/830. Let m(y) = y + 3. Let z be m(-4). Calculate the common denominator of v and z\/(1\/(27\/24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 477 - 1372. Let b = 2913 + s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009141 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 38438560*n + 369380723718400.\nAnswer: (n - 19219280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199654 and 728.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -31. Let t be (1 - 5)*n\/(-36). Suppose 2*h = -h + 3*q + 102, 0 = t*h + 2*q - 64. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77820 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 2, u: 1, a: 1, l: 2, g: 2}. Give prob of picking 2 x and 1 u.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Suppose 0*j = -5*j - 15, 0 = o*d + 2*j - 349. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0551 - -5.0349. Let j = t - 0.09. Let v = 0.2 + 0.8. What is the third smallest value in v, j, -1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 5 - (-4)\/(-2). Suppose 10 = -a*s + 100. Let i = s + 17. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-8)*c*c)\/(c*c*c*c**(-7\/3)*c)*c**(-3\/4)\/c*c**(2\/3)\/c)**(4\/7) assuming c is positive.\nAnswer: c**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*r = 2*r - 12, 2*c = 4*r. Solve -x = c*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2580 * -2877.\nAnswer: 7422660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-5)\/(-22) - -2. Let a(f) = f**2 + 6*f - 244. Let o be a(13). Sort -1, o, v in decreasing order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 2:30 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = o + 1, -13*o + 2*x = -11*o - 2. Let i(p) = -p**2 + 3*p + 4. Let h be i(6). Put -1, h, o, 4 in decreasing order.\nAnswer: 4, o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.77321 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 1. Let k(h) = h. Let v be k(l). Calculate the common denominator of -3 - v\/(30\/(-121)) and 97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 419 + 83 = 0. Let d be (15\/20)\/(-1*2\/z). Suppose 8*m - 5*m - d = 0. Solve 4*o = 2 - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 10*j - 7. Solve 0 = -2*z + 7 - j, 0 = 5*g - 5*z - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -9*g + 8*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 13, t: 1, l: 3}. Give prob of sequence ll.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/16 + (-7)\/(-4). Suppose -18 = -8*x + b*x. Suppose -6*p = -x*p. Solve 5*k + 0 + 20 = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -614 + 607 + (3 - (0 + -2 + 55)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 - 4439877*x**3 + 102118329*x**2 - 634911915*x + 537233466 = 0.\nAnswer: -1479982, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 4, 2*j = -2*o - 1562. What is the common denominator of (-4)\/(-22) - j\/(-132) and 57\/12 + -2 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2813*m + 114*m**2 + 43*m**2 + 138*m**2 + 2815*m to the form o + l*m + g*m**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -326 - -1?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5041*57299.\nAnswer: -288844259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 111902*g\/15 - 223796\/15.\nAnswer: -2*(g - 55949)*(g - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264390*b**2 - 26*b**3 + 264390*b**2 - 97 + 96.\nAnswer: -26*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 26. Let j be (4*2)\/(v + (-2 - -5)). Sort j, -4, -6.\nAnswer: -6, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18971 + -18972. Which is greater: -9\/839 or t?\nAnswer: -9\/839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 55, 92, 147, 226, 335, 480, 667?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -122, 1, -1, 4, -7 in ascending order.\nAnswer: -122, -7, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15172*o + 8353*o + 3031*o + 6473*o + (2*o - 3*o + 2*o)*(-2 + 1 + 2) - 3*o + 2*o - o)*(-2*o**3 + 3*o**3 - 3*o**3).\nAnswer: -66056*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135326 is divided by 127.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*10\/3)\/(12\/(-18)). Put k, -13, -5 in descending order.\nAnswer: k, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12675\/(-600) - 3\/(-24)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 3*h + 105. Determine l(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 805 = -118*q - 2007 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19827592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/18 and -43\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18608658 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 172643521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 14*f + 7. Let v be j(-15). Suppose v*i - 23*i + 2 = 0. Suppose 2*t + 3*x - 26 = -0*t, i*x + 27 = 5*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234.13 + -233.23. Let m = -156 - -1094\/7. Let s(r) = -r**3 - r**2 - r - 2. Let l be s(-2). What is the second biggest value in l, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 545886 and 1042146?\nAnswer: 11463606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-0.1.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1861, -5716, -11567, -19414?\nAnswer: -29257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i - 15. Let u(s) = 4*s - 7. Give 6*g(a) - 13*u(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 392343, 9\/5, 1\/2, -0.5.\nAnswer: -0.5, 1\/2, 9\/5, 3, 392343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 3*z)*(-z - 14 + 14).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 357\/13 in increasing order.\nAnswer: -3, 5, 357\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/7, -73, 4.5 in decreasing order.\nAnswer: 4.5, 1, -1\/7, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 98*j**2 + 206*j - 40. Calculate the least common multiple of 1612 and q(51).\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -26\/3. Let q = -18380 - -18380. Which is the third biggest value? (a) w (b) q (c) -1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 50*t. Let y(n) be the second derivative of n**4 + 274*n. Give h(y(s)).\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4 = -5*q, -2*q = 2*q - c - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(((-60900)\/140)\/(-145))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.022155 + 1254294?\nAnswer: 1254292.977845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = s + 2*q, -26*s - 5*q + 110 = -24*s. Suppose 0 = 28*i - s + 4. Factor 0 - 21\/4*h**4 - 12*h**3 + 0*h - 3*h**i.\nAnswer: -3*h**2*(h + 2)*(7*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, 5, -77, 1 in descending order.\nAnswer: 5, 4, 1, -24, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 27 = -3*d, 2*i - 20 = -d + 7*i. Let o(g) = g. Let j be o(1). Solve d*w + 9 = -j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15180881057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -55152 - 55361. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 9*o**5\/20 + 115*o**4 - 923*o**3\/6 + 77*o**2 + 13*o + 8. Find i, given that r(i) = 0.\nAnswer: -154, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 2)*(3 - 3 + 2*d) + 2*d + 3*d - 2*d as j*d + r and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2*r**2 - 394*n**2*r - 4*n**2 - 151*n*r**2 + 2304*n + 4 wrt r?\nAnswer: 4*n**2*r - 394*n**2 - 302*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44410162 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/(-32)*12*5\/(-70)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = u - 9, 3*u + u - 8 = r. Which is the second biggest value? (a) 2 (b) -3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -10. Let h = -289 - -559. Suppose h = o + 2*o. What is the highest common divisor of n and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*b - 2, u - 4 = -b - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 7. Suppose -2*t + 2*y = -4, 4*t + y - o = 2*y. Let h = -1.95 - 0.05. Is h < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = a + 67, -s - 4*s - 3*a + 71 = 0. Suppose -s = -7*l - l. Let v = -36 + 41. Solve -l*x - 2 = 5*i, -5*i - 5 = -0*x + v*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -835385 or -14201561\/17?\nAnswer: -835385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 10*f = 5. Let w(b) = -4*b - b**2 + 6 + 4 - 3. Let m be w(f). Put -3, m, 3 in increasing order.\nAnswer: -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51311)\/(-182) + 2\/4. Let n = m - 284. Are n and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -4535, -5 in increasing order.\nAnswer: -4535, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 - -73 - 166 - (-1 + -70)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30051030 (base 6) to base 8\nAnswer: 3165272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369 + 464 + 715)*(2*t - 4*t + t + (3 + 0 - 2)*(4*t - 4*t - 2*t))*(3 - 1 - 3).\nAnswer: 2430*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 0.07. Let n = u - 0. What is n rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372*l**3 + 37*l**2 + 160254*l wrt l.\nAnswer: 2232*l + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534*a**4 + 168*a wrt a?\nAnswer: 6408*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - v - 93 = -3*v, -5*b = 3*v - 92. Let a = 22 - b. Calculate the greatest common divisor of a and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4\/(-6)*12\/(-8)). Which is the biggest value? (a) i (b) -0.4 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207.4 + -178. Let y = 29 - z. Let u be (-6)\/(-10) - (445\/75 + -5). Sort y, 1\/4, 3, u in decreasing order.\nAnswer: 3, 1\/4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13423 - 3.86447. Let y = -0.0013 + q. Which is the closest to 0? (a) -11 (b) 1 (c) y (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1886.6 - 1580. Let u = -307 + b. Sort -3, u, 2, -0.02 in decreasing order.\nAnswer: 2, -0.02, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**12*y)*y**0)**(-2\/11) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 3\/11, -4, 0.44?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2876*r**5\/9 - 92990*r**4\/3 - 862994*r**3\/9 - 12104*r**2\/9 + 383464*r\/3 + 800\/9 = 0. What is r?\nAnswer: -2, -1\/1438, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6 - 12\/(-18). Suppose 3*q - 6 = 2*h + m*h, -h - 5*q = -10. Let x be h\/(-2) + 21\/(-3). Which is greater: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 920.55951 to the nearest 10.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:25 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 4 (c) -37493957\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27848*-0.15\nAnswer: 4177.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(25)\/(sqrt(15)\/sqrt(3)) + sqrt(5) + sqrt(180)*-1 + -1)*3)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.18*2.\nAnswer: -10.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 p, and 1 i when four letters picked without replacement from {o: 3, i: 1, p: 7, r: 2, h: 2, x: 3}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -20 - (4 + 1 + -30 - (26 + -29)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 13*z + 40. Let n be p(9). Is 1\/((-3)\/(-28917)) + n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.62316 and -20.\nAnswer: 132.4632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 5*l - 42. Calculate g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*s = -299*s + 138*s + 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 107. Let c = s - -62.00115. Round c to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*0.082.\nAnswer: -1.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*p + 30*p - 8. Find the third derivative of -3*r**2 - 8*r**2 - 348*r**p + 342*r**4 wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 57. Let u = 77\/18 + -9\/2. Let h = 9 + -12. Which is the nearest to m? (a) 2\/3 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117063 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*v - 32. Let o be (-2)\/6*(-2 - 5\/v). What is the closest to 0.1 in -1\/21, -1\/4, o?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-164)\/(-6)*-1. Let m = 28 + 131. Let b = y + m. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 - 2. Suppose 33 + 15 = 3*y. Suppose -9*j = -5*j + y. Let s(m) = 4*m**2 + 3. What is j*s(t) - 6*c(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55300.\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1670058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2. Let x(b) = 120 - 120 + 14*b - 9*b. Determine x(l(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2)\/((9 + -1)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 16*n**4 - n**2 - 18*n**4.\nAnswer: -2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1027 and 1040351.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 22*b + 36. Let u(z) = -z**2 + z + 7. Calculate u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/5 - (35\/(-25) - -2). Suppose -11*i = -q*i - 44. Suppose 59 + 69 = i*u. Calculate the smallest common multiple of u and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -823. Let m = c + -518.6. Suppose 0 = -4*g - 0*g. What is the nearest to -0.1 in m, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*g - 661*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = -2*j + 17, -5*j + 15 = -5*d. Let y = d + 3. Let l(q) = q**2 + 4*q - 10. Let i be l(-5). Which is the closest to -1? (a) i (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(98) + 0 - sqrt(98)) + 3 + sqrt(98) + 2 + 4 + (-2*sqrt(98) + -4 - sqrt(98)) + 0 + -4))**2.\nAnswer: -112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48.2169*-14\nAnswer: -675.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**2 + 13*q**2 - 23*q**2 + 2*q**2.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let p be (-6)\/12 + 2\/4. Let u(d) be the third derivative of p*d**3 + 0 + 0*d + d**2 + 1\/12*d**4. Calculate o(u(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16933, -33865, -50797, -67729, -84661?\n\"Answer: -16932*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -168, -330, -534, -774, -1044?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161 - 15?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4242 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13109531*t**3 + 18*t**2 + 1501817*t wrt t?\nAnswer: 78657186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*p**2 - 1674*p**2 - 845*p**2 - 2208*p**2.\nAnswer: -4793*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(1331))**2 + sqrt(1331) + -2.\nAnswer: -253*sqrt(11) + 21303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2 + b + 4. Let c be a(-4). Suppose c = h - 44. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + 5*n - 4*n)*(n**4 + 13*n**4 - 2 - 19*n**4 + 6*n**3).\nAnswer: 45*n**5 - 54*n**4 + 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 - 5*x**3 + 117*x**2 - 121*x**2 + (2*x**2 - 2*x**2 - 6*x**2)*(2 + x - 2).\nAnswer: -13*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:10 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*f - 4*i - 38, 0 = -2*f - 3*i + 8. Let d be (-88)\/(-14) - (-4)\/(-14). Let v = f - d. Sort 3, 2, v.\nAnswer: 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 + 1091*t**2\/5 + 64232*t\/5.\nAnswer: -t*(t - 1147)*(t + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 18389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -188, 21, -1 in descending order.\nAnswer: 21, -1, -3, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*t)*(-2446 - 2674 + 763 - 1835).\nAnswer: -12384*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/400443 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 + 5 = 0. Let o = -10 - -10.5. Let u = -0.1 + o. What is the closest to k in u, 0.5, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 + 7*o**4\/12 - 19*o**3\/6 - 3*o**2 + 15*o. What is t(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -80, -129, -188, -251?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/15 and -67\/1521.\nAnswer: 7605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 1822, 0.09, -99 in ascending order.\nAnswer: -99, -2, 0.09, 0.1, 1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1477, 68, 4, -1 in decreasing order.\nAnswer: 68, 8, 4, -1, -1477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -8. Let k = -0.1 - 0.3. Which is the third smallest value? (a) k (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676767 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000184 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 23*u**3\/6 - 21*u**2 + u - 8. What is the tens digit of m(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (324\/135)\/(6\/(-20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -119.04425455+2\nAnswer: -117.04425455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515996 is divided by 258?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 90. Let x = -26 - t. Calculate the remainder when 34 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k. Let v be r(-1). Solve -4*a - i = -2*i - 8, 2*i = -3*a - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/1064 + -2935\/9576. What is the common denominator of k and 139\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*r - 6*r + 35 + 803*r**2 - 1605*r**2 + 797*r**2.\nAnswer: -5*(r - 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 2 - (-112 + 0). Suppose o + 354 = 2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + j - 57, 0 = 2*g - 5*j + 6 - 7. Let m = g - 11. Suppose k - 11 = -3*d, 3*k - 7*d = -m*d + 19. Calculate the highest common divisor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110100122010012 + -10?\nAnswer: -110100122010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7*2\/(-98)*2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1160037798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1259771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152077993, 152077989, 152077983, 152077975, 152077965, 152077953, 152077939?\nAnswer: 152077923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13603910 and 6970.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105360 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2681772 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 20*z**2 + 6*z + 52. Is h(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -577 + 577 + 22*u + (2*u - u - 3*u)*(0 + 4 - 6) + 0*u + 2*u - u.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10851127*l*z**2 + 1095704*l*z - 3*l + 2*z**3 + z wrt z?\nAnswer: 21702254*l + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, -15, 302073, -3 in descending order.\nAnswer: 302073, 1, 0, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**14\/((w\/((w*w**(-15)\/w)\/w))\/w))**29)**(2\/61) assuming w is positive.\nAnswer: w**(-116\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 21*u. Suppose 0 = 4*g - q - 113, 4*g - 109 - 5 = 2*q. Suppose u = 3*p - g - 11. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*o + 11004 = -16 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 19*i + 77. Let k be n(14). Suppose -4*p = 5*f - 2*p - 7, 3*f = -4*p + k. Solve -5*m = -9 - f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 2*j - 5*j. Let i(d) be the second derivative of -5*d + 0*d**2 + 0 - 1\/3*d**3. What is c(i(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*p + 295862 + 680626 = 0. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 21. Let l be 30\/56 - 3\/r. Let j = -220 - -223. What is the second smallest value in l, -4, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 4*c - 4*c**2 - 2*c - 7*c in the form q*c**2 + d*c + a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -b8b0?\nAnswer: b8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -16, -79206 in descending order.\nAnswer: 14, -16, -79206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -21, -27, 0, 5, -3, 2 in descending order.\nAnswer: 8, 5, 2, 0, -3, -21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13840.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147.91311 - -0.90561. Let n = d - -147. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8760493ml?\nAnswer: 0.0008760493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 736?\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/10 - i**4\/12 + i**3\/3 + i**2 - 6*i. Calculate o(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 4*q - 6*q. Let w = 3 + q. Suppose 2*p - 7 = 9. Calculate the greatest common divisor of p and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 27*c - 28 = 0. What is c?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 47. Suppose 4*d + d - f = 0. Factor -6\/13*m**d + 4\/13 - 2\/13*m.\nAnswer: -2*(m + 1)*(3*m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.599 less than 0.7?\nAnswer: -42.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51, 110, 155, 180, 179, 146, 75?\n\"Answer: -x**3 - x**2 + 69*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - -6) - (72 + -131)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(128) - (sqrt(128)*1 - sqrt(128)) - sqrt(8)) - (1 + (sqrt(25)\/sqrt(80))**2).\nAnswer: -21\/16 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 11. Let i be (-7 - -4) + 0 + 0. Calculate the least common multiple of i - -19 - (2 + -3 - 3) and k(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221288651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/3))\/b*b*b\/(b\/(b**(1\/6)*b)))**(-25) assuming b is positive.\nAnswer: b**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 507929961 divided by 3587?\nAnswer: 141603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 593 - 559. Suppose 4*q - 3*q + 386 = 3*w, -4*q + 520 = 4*w. What is the remainder when w is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/56496528 and -59\/528.\nAnswer: 56496528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 526*r**2. Let g(x) = -2*x - 13. Give g(b(k)).\nAnswer: -1052*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -151?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2860 and 4442680?\nAnswer: 57754840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-7) + (1 + 0)*-5. What is the units digit of (2*-10)\/((-18)\/4 - h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w - 5 - 3*w + 7*w - 5*w**2. Let n = -9 + 6. Let h(x) = 11*x**2 + 15*x + 11. Let o(u) = n*h(u) - 7*y(u). Factor o(f).\nAnswer: 2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -283\/158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 + -151. Let x = r + -23. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 15*h**3 - 45*h**2 - 25*h = 0. Calculate h.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 5*b - 364. List the prime factors of v(-22).\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - -2) + (-1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -276, -413, -550, -687?\n\"Answer: -137*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956.24 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56851 + 0.118.\nAnswer: 56851.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 + 32\/(-2). Let l = 9 + w. Let h(v) = -v**2 + v + 1. Let p(s) = 2*s**2 - 3*s - 3. Determine l*h(g) - 2*p(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7345533 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 6. Let q be 3\/(-12)*6*-4. Let k be o(q). Suppose 0 = -z - 3*z - k, 4*z + 347 = 5*a. Calculate the remainder when a is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 141 - 599 - 250.\nAnswer: 2*f - 990","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*y + 12 = 1, 3*a + 3*y = 3. Suppose -10*p + 8*p = -3*t + 278, 139 = -p - a*t. Let g = p + 307. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 5*t + 5. Let x(n) = -9*n**3 + 7*n + 7. Give -7*h(p) + 5*x(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.108 + -0.19\nAnswer: -0.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 682619 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617605 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6989?\nAnswer: 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1204 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 595495*l + 595490.\nAnswer: 5*(l + 1)*(l + 119098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8 - 12 = -2*l, -5*o - 15 = 5*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1264*l + 117562. What is r(-93)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 + 2*y. Let s = 549 - 551. What is k(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*x + 1436, -3*x + x = 2*n - 1420. Let r be (-14)\/119 + 16\/n. Suppose -6*j + 9 = -9. Sort r, j, -1.\nAnswer: -1, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 10*q**2 - 15*q + 12. Let j be t(-8). Let c be ((1 - j) + -1)*(-3)\/(-12). Which is greater: c or 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8 = a, -4*v + 3*v = a + 4. Suppose -4*t + 4*h = -2*t - 32, -h - 13 = -t. Let n = v + t. Solve -4 = 3*p - n*p, k - 4*p = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21*r**2 - 23*r + 3. Suppose x + 40*k = 38*k + 3, -x = 3*k + 4. Let p(t) = 7*t**2 + 8*t - 1. Give x*p(g) + 6*f(g).\nAnswer: -7*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*y - 2*d - 3, -2*d - 4 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*a - 4, 5*o = 9*a - 5*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkfk when four letters picked without replacement from {k: 3, t: 2, f: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -3. Sort -2, 0, m in descending order.\nAnswer: 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 2193, 6800, 15433, 29352?\nAnswer: 49817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7)*28\/(-24))\/5.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2804 + -1257.4196. What is s rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 + 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13599223181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - (-35 + 42 - (0 + 2)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -3, -7, -13?\n\"Answer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 20, -69 = -5*s - 3*v + 3. Suppose -s*u + 9*u + 21 = 0. Solve 4*a - u - 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a0231 - 12?\nAnswer: -3a0243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519 = -718*i - 760*i + 3023 - 30146 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1322*c - 9262. Give r(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -167*a - 825*a**3 + 111 - 861*a + 107*a + 828*a**3 + 807.\nAnswer: 3*(a - 17)*(a - 1)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496812385 to the power of 1\/2, to the nearest integer?\nAnswer: 49968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122040.\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Suppose -2*m - 4 = 3*d, 0*d = z*d + m - 5. Solve y = d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6522789.\nAnswer: -1\/6522789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4601?\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/((-2)\/(-24)). Let z(c) = 2*c**2 - h*c - c**2 - 2*c**2. Let d be z(-4). Solve d = 3*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2 + 3 + 2 - 3 + (-3 + 0 + 4)*(-5 + 3 + 1) - 1 - 2 + 4 + 3 - 3 - 1 - 2 - 2 + 2 + 17 - 32 - 27)*(4 - 4 + g**3).\nAnswer: -47*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7952250 divided by -14.\nAnswer: 3976125\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(170))\/(1*sqrt(1440))*-1.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39226992403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20 - (-3584)\/70) + 8\/10. Suppose 5*i - 6 = 9. Suppose 6*a - k = -i*a. Let q(t) = 2*t - 10. Determine q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s - 33. Give m(7).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205969.3ug in nanograms?\nAnswer: 205969300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5\/4, 11, -1.342?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = 20. Suppose h*w - c - 253 = 0, -2*w = -0*w + 5*c - 112. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264710 is divided by 7052?\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 3*m - 2*m + m. Let v(g) = -2*g. What is v(y(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, g: 4, t: 6}. Give prob of sequence tgtt.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 407.7 - 407.8. Which is the closest to 1? (a) q (b) -18 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 385 + -256. Let d = p - 86. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300.0431 - -299.8. Let q = -462.8569 + w. Let i = q - -444. What is i rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 1 = 3*j, 0 = -5*j - 4*m + 4. Suppose 4*a + 3*n - 17 = -j*a, 0 = -n + 3. Suppose -a*p - 36 = -94. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*p + 17 + 13, 3*c = 4*p + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2140 = q. Round q to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45399492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*w**2 - 4*w**4 + 107*w**2 - 268*w**6 + 33*w**2 + 2*w**4 + w - 17*w**2 wrt w?\nAnswer: -32160*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let t(s) = -10*s**2 + 12*s. Let h(o) = -o**2 + o. Let n(i) = 12*h(i) - t(i). Determine n(b(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 202 and 195 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7619197 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9 and 35\/37633.\nAnswer: 338697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -1\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278 and 9035?\nAnswer: 18070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6132 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -445, -453, -475, -517, -585?\n\"Answer: -g**3 - g**2 + 2*g - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v - 216 + 636 - 215 - 213.\nAnswer: -105*v - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 2*w**2 - w + 2. Let f be u(2). Solve 2*k = -6 + f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800355 (base 11) in base 2?\nAnswer: 100111010101001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 16. Let b = 1 + z. Let j = b + 95. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*d**2 + 75*d**2 + 62 - 62.\nAnswer: -359*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 10*v - 828 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by -985.\nAnswer: 209\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**10*y)\/y))\/y)\/y*y*(y*y*y**(-2\/9)\/y)\/y*y assuming y is positive.\nAnswer: y**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**3 + 11*w**2 - w - 19. Let i(c) = -4*c**3 + 6*c**2 - c - 9. Let x(l) = 7*i(l) - 3*q(l). Let b be (75\/135*-9)\/((-5)\/8). Calculate x(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.4, -7, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 6*o**2 + 3*o - 3. Let k be l(-4). Let n = 67 - k. Suppose 4*b = -6 + n. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 2\/7 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18.999. What is q rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -148*m + 789. Calculate d(0).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120163.1 kilograms in micrograms?\nAnswer: 120163100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2175, -3526, -4867, -6192, -7495?\nAnswer: -8770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*y + 1. Put y, 1, -3 in decreasing order.\nAnswer: 1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -6*(1 - 0). Suppose 0 = -3*f - 4*x - 6, 4*f + 5 = -3*x - 3. Let m = -9 - f. Is m bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6))**(8\/5)*(f*(f\/(f*f\/f**(2\/23)*f))\/f)\/f**(-10))**(-6\/13) assuming f is positive.\nAnswer: f**(1044\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106883 is divided by 20555?\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -41, -7, 1267, 0.3 in increasing order.\nAnswer: -41, -7, 0.3, 1, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*r - 2486 + 11587 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s*s**(8\/3)*(s*s\/(s**(-3\/2)*s))\/(s*s*s*s*s\/(s\/s**1)*s))\/(s**5\/s**(-3)*s*s\/(s**(-2\/5)*s)*s*s*s*s*(s**(-3)*s)\/s*s*s) assuming s is positive.\nAnswer: s**(-6299\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, l: 5}. Give prob of sequence zlll.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 7*p**2 - 8*p + 1. Let o be i(8). Let b be (154\/21)\/(o\/3). Suppose -5*g + 173 = -t + b, 3*g = -4*t + 109. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-36))\/(1\/9). Let x(w) = 3*w + 3. Let i(m) = 13*m + 13. What is f*i(c) - 9*x(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4637 - 426611\/92. Let o = y + 1769\/276. Factor 1\/3*n**5 + o*n**3 - 4\/3 - 25\/3*n**2 + 16\/3*n - 7\/3*n**4.\nAnswer: (n - 2)**2*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 21 = -9*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 9, -2*g + d + 36535 + 7366 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 54, 66, 64, 42, -6, -86?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-100) + (0 - (-245)\/25)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 107, 127, 147, 167, 187?\n\"Answer: 20*l + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 2730, 6130, 10878, 16968, 24394, 33150, 43230?\nAnswer: 54628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -6. Let z(r) = 5 - 10 + 5 - 4*r. Let c(o) = 2*o. Suppose 0 = -2*n - 12 + 8. Calculate g*c(j) + n*z(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2504, 0.05 in decreasing order.\nAnswer: 23, 0.05, -2504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-62)\/16 + 2)*(-276)\/230. Is r <= -28\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*f + 5537*m - 5541*m, 2*f - 5*m = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -14739*a**4\/5 - 7771788*a**3\/5 + 5490864*a**2\/5 - 1292352*a\/5 + 101376\/5 = 0. Calculate a.\nAnswer: -528, 4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 334637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245878*k**3*r*w**2 - 2*k**2*r**2 + 35*k*r*w**2 + 8*k*w**2 - 3*r**2*w**2 - 17*r - 2*w**2 + 2 wrt k.\nAnswer: -1475268*k*r*w**2 - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**2 + 94638*a + 1797039 = 0.\nAnswer: -31527, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -7, 17, 71, 167?\n\"Answer: 2*m**3 - 3*m**2 + m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21\/30*(-158)\/(-553)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**3 + o. Calculate a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/25 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2910)\/66)\/5 + 9. Which is the nearest to 0.1? (a) 0.1 (b) g (c) 5 (d) -4\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.102367 millimeters to micrometers.\nAnswer: 102.367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130089 in -4\/65, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -76*q**3 - 4*q**2 - 3*q - 8. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 2861\nAnswer: -2860.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2147, 880, -2579, -9328, -20465, -37088, -60295?\nAnswer: -91184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-2)\/((-4)\/6) + 0. Suppose 2*i + 2*i - 83 = -3*h, t*i = -16. Is h at most 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 3, g: 1}. What is prob of picking 1 g and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)\/((-7)\/(-14)) + 0. Let i(t) = 7*t**2 + 3*t + 3. Let g(x) = -6*x**2 - 2*x - 2. Let d be ((-36)\/(-252))\/((-5)\/105). Calculate d*g(a) + l*i(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1284534507 or 1?\nAnswer: 1\/1284534507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -13. Let t(v) = -v**2 - 3*v + 1. Let s be t(y). Let k(i) = -i**2 - 4*i - 2. What is k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229 - 160. Suppose -3*d = -5*w - 2493, 1 = 5*d - 4. What is the remainder when k is divided by w\/(-36) - (-3)\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838096?\nAnswer: 2, 13, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + (1 - 3 + 1)*(3 - 3 + 2) - 5 + 13 + 9)*(3*j - j - j).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 3*d**2 - 5*d**2)*(-d**2 + 2*d**2 - 2*d**2) - 27*d**4 - 24*d**2 + 24*d**2 - 102 + 102 - 11*d**4 + (-3 - 1 + 2)*(-2*d**4 + 4*d - 4*d).\nAnswer: -35*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**(-2\/5)))**7*r**5*r*r**(-2\/33) assuming r is positive.\nAnswer: r**(-637\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -6. Suppose -4*m + 3*q + 337 = 0, -q = -6*q - s. Calculate the remainder when m is divided by (-7)\/(26\/78*-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose 0 = -2*f + 4*c + 2881330, d*c + 1557332 = 2*f - 1323995. Suppose -v - 7459341 = f. What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 438 = -1866. Calculate the greatest common divisor of d and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-363)\/(-84) + -4)\/((-84)\/(-112)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1475, 2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-14)\/t)**(8\/17))**(-1\/19) assuming t is positive.\nAnswer: t**(112\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yln when three letters picked without replacement from lbyjlbyfflyjfnbnnnbl.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -675 and 765683.\nAnswer: -516836025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-59 - -115 - 110)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*n + 1605 - 3205 + 1600 - 678*n)*(-2 - 1 + 1).\nAnswer: 1796*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90311.92ng to tonnes.\nAnswer: 0.00000000009031192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267530 = 80*l + 103850. Solve -l + 2038 = -u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.16, 4, 8\/13, -0.72, 1.\nAnswer: -0.72, -0.16, 0.3, 8\/13, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012096 to five decimal places.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = -40*p - t + 1, 4*t - 36 = -4*p. What is the nearest to 0 in 0.3, -5, -4\/3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 2864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - w)*((-16*w**2 + 16*w**2 - w**3)*(-2 + 3 + 1) + 54 + 3*w**3 - 54) to p + k*w**2 + f*w + m*w**3 + i*w**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 79633 rounded to the nearest 1000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 10*k**2 - 2*k - 15. Let y be q(-10). Let b(o) = 21*o + 33. Does 46 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/360 + 5*t**4\/12 - 27*t**2. Let p(b) be the second derivative of i(b). Let g(m) = 2*m**2 - 2. Determine g(p(l)).\nAnswer: 8*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44540*y**6*z + 3*y**2*z - 7*y**2 + y*z + 1 wrt y?\nAnswer: 5344800*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*r + 4. Let z = -25 - r. Put 3, 2\/13, z in descending order.\nAnswer: z, 3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209464 divided by 33\nAnswer: -209464\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 + 120*q**4 + 1440*q**3 + 8640*q**2 + 25920*q + 31104.\nAnswer: 4*(q + 6)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -2 - (1 - 3). Let r be 0\/(z\/(6\/(-4))). Suppose 0 = -g - r*g + 3. Solve 0*m - k - 5 = m, g*m + 2*k = -14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5011, 9924, 14737, 19444, 24039, 28516, 32869, 37092?\nAnswer: 41179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from jmyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c - 15*c - 1 + 3. Let t be m(4). Let k(a) = a**2. Let b be k(3). Calculate the highest common factor of b and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18019*n**6 - 3*n**4 + 14797*n**2.\nAnswer: -2162280*n**3 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(42\/(-24)) + -10. Let s(n) = -n**2 - 15*n - 3. Calculate s(h).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 165865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m + 2. Let x = m + 2. Solve 0 = -0*q + 2*q - d - 11, -x = -q + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/7 (b) 306\/19 (c) -40 (d) 5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 + 2. Let s be k(-4). Suppose -s*d = -d - 3. Let i = d - -6. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 870798 or 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d**4 + 396*d**3 - 2568*d**2 + 2896*d = 0. Calculate d.\nAnswer: -362\/41, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 812318360 to the power of 1\/3, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22104972 and 1830348.\nAnswer: 287364636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:21 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-25)\/(-10))\/(19\/59014).\nAnswer: 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-15)*((-6210)\/161)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48633600 and 2860800?\nAnswer: 48633600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 727783.8 milliseconds?\nAnswer: 12.12973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 4*o + 3. Let a(m) = -2*m + 2. Let i be a(-7). Suppose -20 = -5*b + 5*s, -3*b + i = s - 6*s. Let k(y) = 3*y - 2. Determine b*g(t) + 3*k(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 58, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.05731ml in litres?\nAnswer: 0.01305731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 25362, 2, -9\/2, 1.\nAnswer: -9\/2, -1\/2, 1, 2, 25362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + i = -3*j - 17, -i = 2*j + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 8 - 3. Let r be (-2)\/1 + (w - -9). Let x be 150\/(-9)*6150*r. What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0 + w)*(-5 - 9 + 3).\nAnswer: -11*w + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/7 or 0.3?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from {l: 2, k: 4, i: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*m - 10*m**2 + 44 - 108 + 24.\nAnswer: -5*(m - 8)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15*(-80)\/(-192). Sort 0.4, 2, 6, x in decreasing order.\nAnswer: 6, 2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/95580 and -137\/39294?\nAnswer: 3536460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -208*q**2 + 36798*q - 33447. Give f(176).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -307 + -85?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-1)\/(-2)*-2. Let c(v) = -4*v. Let z be c(s). Let l(n) = -10*n. Let m be l(-3). Calculate the highest common factor of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-945)\/(-720))\/(-7))\/(18\/8).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 + 132*a**3 - 1911*a**2 + 5808*a - 4032 = 0 for a.\nAnswer: -56, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9498 - 9495. Sort -3, 423, -1, 2, n in decreasing order.\nAnswer: 423, n, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(832) + 1*sqrt(832)*-2 + -2)**2*-6.\nAnswer: -5286 - 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -47. Let b = 230 + u. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 0. Suppose -2*j + 5*h = -11, -3*j = 3*h - 8*h - 9. Let d be 0 + -1 + j + (-42)\/x. Solve -d*s + 2 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i*i**(-9))\/(i\/i**(1\/14)*(i\/i**(-1))\/i) assuming i is positive.\nAnswer: i**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2389 divided by 2389\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 1. Let a be h(-1). Differentiate -7*y**3 - 5 + a + 3*y**3 - 3 with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 58348.88 nanograms?\nAnswer: 58.34888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/((-4)\/(-20)). Suppose 41 + 19 = m*j. Let a be (3 + 1)*(5 + -2). What is the highest common factor of j and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 1:11 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87510, 350050, 787616, 1400208?\nAnswer: 2187826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 4*p + 4. Let u be t(-5). What is the highest common divisor of 33 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30751210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -30, -55, -98, -165?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1 - 2) + 6. Let f = 7 - 4. Let g = f - 2.5. Which is the second smallest value? (a) o (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14*h = 15*h - 1361999, -2*h - 817202 = -3*u. Round u to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 9*r**2 - 19*r - 3. Let p be (-2)\/6*5*-3. Let f be l(p). Solve f*w + 20 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o - 10. Suppose 20*f - 17*f = 39. Let x be 10\/(-30) - f\/(-3). What are the prime factors of v(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/6 + (-4)\/8. Suppose 0 = -u*q - 0*k - 4*k + 36, 0 = 4*q + 3*k - 32. Suppose -6 = q*a - 6*a. Solve -6*o = -4*o + a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 8*f - 9. Calculate y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 12*u - 6. Solve -u*j = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -93825.\nAnswer: -2\/93825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 117?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty sevenths of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8301861l?\nAnswer: 830.1861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45535, -91724, -138575, -186088, -234263, -283100?\nAnswer: -332599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 2591*l + 14*l**2 - 2592*l.\nAnswer: 17*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3671*t**3 - 18*t**2 + 10. Let i(g) = -7343*g**3 - 33*g**2 + 18. Give 6*i(s) - 11*r(s).\nAnswer: -3677*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1060129681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/40 - q**3\/2 + 2*q. Let v(b) be the second derivative of i(b). What is v(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p + 609348*p**2 - 34*p - 609350*p**2.\nAnswer: -2*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 + 3*n**3 + 18*n**2 + 4*n - 24 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 7 = -4*d - d, 0 = -2*d - 5*k - 8. Let q = 8 - d. Let f(h) be the first derivative of h**4\/4 - 7*h**3\/3 - h**2 + 7*h - 504. Give f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 29. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15376*z**2 + 64 - 15375*z**2 - 2*z - 14*z = 0. Calculate z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15*1925\/(-66)*300\/105\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p**3 - 4*p + 5. Let f(w) = 20*w**3 + 4*w - 6. Let j(n) = -5*f(n) - 6*y(n). What is the second derivative of j(i) wrt i?\nAnswer: 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8\/3, -7\/128, 0.5, -3, -1\/41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16970 is divided by 7758?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i**3 + 15*i**2 - 13*i - 4. Let v(x) = -5*x**3 + 8*x**2 - 7*x - 2. Let b(o) = 6*d(o) - 11*v(o). Factor b(u).\nAnswer: (u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4074, 16266, 36580, 65010, 101550?\n\"Answer: -c**3 + 4067*c**2 - 2*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512 is divided by 503?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16173230, -16173227, -16173224?\nAnswer: -16173221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1720?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4909 is divided by 262?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -4*p - 30 + 3\/2*p**2 + 16\/3*p**3. What is the hundreds digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 3*i**5\/5 + 303*i**4\/4 - 205*i**3 + 309*i**2\/2 + 1686. Let j(w) = 0. Calculate w.\nAnswer: -103, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -436520993.\nAnswer: -436520991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195893537 to the power of 1\/3, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 20?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(720).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1567.37 > -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -36 + 100 + 8.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 15*h - 42. Let l be d(-21). Calculate the highest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k. Let r(y) = 69*y. Let v(b) = -11*o(b) + 2*r(b). Give v(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 23, 0, -155 in descending order.\nAnswer: 23, 0, -2, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -242.90259.\nAnswer: -364.353885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 8*g - 14. Let m(q) = 9 + 3*q**2 + 7*q - 2*q - 4*q**2. Calculate -5*c(f) - 8*m(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 252701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 35. Let w = l - 42. Is 6 a factor of (8\/(-3) - -4)*(w + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/18*432\/384?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484\/3 + 163. Let z(j) = -j**3 + j**2 - 2. Let a be z(0). Suppose -2*d + d = -0*d. What is the fourth biggest value in v, a, 1, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*k - 76, k + 5*a + 36 = 3*k. Let n(x) = k - 28 + x. Let q(w) = -8*w + 7*w + 21*w - 8*w - 8*w. Calculate q(n(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 15*y**3 + 66*y**2 + 48*y = 0. What is y?\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1560.361 years to millennia.\nAnswer: 1.560361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/28 and -67\/205290?\nAnswer: 2874060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*f**2 + 615*f**2 - 1223*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-75)\/(-90)*(-7)\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y*y)**(-33)*y**(-9)\/(y\/y**3) assuming y is positive.\nAnswer: y**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 2, p: 2, a: 1}. What is prob of sequence ajp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/210 - 2\/(-12))*-60.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-8)\/3 - (4 + -6)). Suppose 0 = t*j - 2*j - 1. Is j <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1*5 - (sqrt(68) + -3 + -1*sqrt(68) + sqrt(68))) + (0 + sqrt(68)*1)*1 - (-4 + -2 + 3 + sqrt(68)*-2 + -1*sqrt(68)*1))**2.\nAnswer: 192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 4, -3, -2 in decreasing order.\nAnswer: 4, -2, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 742923073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 2}. What is prob of sequence qqg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/136 and 131\/31790.\nAnswer: 127160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwtwmtmomrnnrr. Give prob of picking 1 w and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxsusuyk. Give prob of sequence yy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**3*y + 25668970*b**3 + 6*b**2 + 465424*b*y + 1 wrt y.\nAnswer: -11*b**3 + 465424*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66200\/2904861 + -3\/9587. Is 1 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/45)\/((-3)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58.71 and 54.\nAnswer: -3170.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122 in 0.032, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67852629 divided by 6?\nAnswer: -22617543\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2523, -2534, -2561, -2610, -2687, -2798, -2949, -3146?\n\"Answer: -j**3 - 2*j**2 + 2*j - 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 343 - 178 - 667 = 0. Calculate the smallest common multiple of d and 1518.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 8) in base 15?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 383*u**2 - 1613*u - 13109. What is o(187)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s - 58. Let g(v) = 3*v + 14. Let f(k) = -2*d(k) - 9*g(k). Let a(r) = 11*r**2. Determine a(f(i)).\nAnswer: 99*i**2 - 660*i + 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*g - 99298 + 99298 + 47*g in the form x*g + r and give x.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:19 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6292))\/(sqrt(196) + (sqrt(196) - (sqrt(196)*-5 + sqrt(196)))).\nAnswer: 11*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 3*l**2 - 4*l + 6. Let g be -1*-5*2\/2. Let y(i) = 5*i - 4. Let d(k) = g*y(k) - 4*r(k). What is d(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29867 is divided by 7248.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuyu when four letters picked without replacement from fyfuuyfuffuyuy?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.150972521 to 5 decimal places.\nAnswer: -0.15097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/221200 and -123\/50560.\nAnswer: 1769600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 22*i. Let k be d(2). Let g = -2843 - -2840. Let v = k + g. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by -1.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}