diff --git "a/data/dm_maths/full_data_2/10348_11255.jsonl" "b/data/dm_maths/full_data_2/10348_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10348_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(j) = j**2 - 10*j - 18. Let v be a(10). Let w = v + 24. What is the smallest common multiple of 5 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.999942. Round f to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9. Let s = u - -3. Find the common denominator of (s\/(-11))\/(8\/(-206)) and 83\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m - 16*m + 8*m + 3*m. Let j(s) = -3*s - 1. Give n(j(x)).\nAnswer: 24*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 443086 divided by 2\nAnswer: 221543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-17)\/102). Suppose 3*t + i*t - 20 = 0. What is the remainder when 3\/(-5 + t) - -17 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 18*z - 72. Let u be (-6)\/z + (-6)\/(-3). Solve 2*m + 3*m = 2*o + 5, -m = 4*o - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21318977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 21. Let d be (x - 1) + 2*64. Let u = 197 - d. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 21*d + 1\/4*d**3 - 9\/16*d**2 - 1\/32*d**4 + 0. Suppose s(u) = 0. Calculate u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/14)\/((-3)\/(-2)). What is the third biggest value in t, 5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f + 38. Let p be q(0). Let t = 110 - p. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*x**4 + 20*x**2 - 3*x + 163.\nAnswer: -120*x**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - x**2 - 4*x**2. Let o(c) = 4*c. Let i = 3 - -1. Let z(m) = -m. Let q(r) = i*o(r) + 14*z(r). Calculate w(q(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 3201280*a - 6402556.\nAnswer: -(a + 2)*(a + 3201278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.07168.\nAnswer: -0.014336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3550 and 1054097950?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -18379.\nAnswer: 29\/18379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (260\/6)\/((-106)\/(-159)). Suppose 3*c - 14 = 2*h + 4, -5*c - 3*h = -11. Suppose c*j = -n + 1119, 2*j - n - 626 = -z. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*k**4 + 33479*k**3 - 515994*k**2 - 3*k.\nAnswer: 408*k + 200874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -694 - -683. Let g(v) = -v - 11. Determine g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 6*m**2 - 7*m - 5. Let x = -54 - -58. Let v be j(x). Is 21 a factor of (v - 0)\/((-8)\/1880)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:31 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 10. Let x be m(0). Suppose 12 = x*k - 4*k. Let j(n) = k*n**3 + 0 + 2*n**2 - 1 + 25*n - 26*n. Calculate j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**8\/240 + z**6\/24 - 73*z**5\/60 - 90*z**2. Let p(k) be the third derivative of g(k). Differentiate p(m) wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1214 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(3\/12)*324\/(-432).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 1 = 1369. Suppose -8*p = -520 - 400. Let d = w - p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n = -56*n + 52 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = -5. Let d(t) = 5*t**3 - 12*t**2 + t - 6. Let h(a) = -a**3 + a**2 - a. Let j(i) = -d(i) - 6*h(i). What is the units digit of j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 - 1. Let v(a) = 6*a**3 + 1. Suppose -3*m - g + 14 = 0, 3*m - 4 = 2*g + 13. What is m*v(p) + 4*c(p)?\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i**3 - 4*i**3 + 14*i**3)*((1 + 3 - 3)*(-3 - 3*i + 3) - 3*i + 2*i + 3*i) to r*i**4 + f + w*i**3 + z*i + u*i**2 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/8)\/(3\/4). Suppose -h + 6 = -o. Calculate the remainder when (4 + h)*13\/2 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {h: 3, n: 6, v: 1, j: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 56.01612mm?\nAnswer: 56016120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from sqqqqqqyqyqyqyqqyq?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m - 3*j - 0*j, 0 = -5*m - 4*j - 5. Which is smaller: m or -1\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**2 - 30031*u + 29946*u - 2*u**3 + 8*u**2 to a + h*u**3 + m*u**2 + j*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677627 is divided by 676747?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -38) + 22 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.51 + -2.547. Let i = a + 0.037071. Round i to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701671 is divided by 635.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = -2*g, 5*c - 20 = -5. Let f be (-20)\/(-6) + g\/(-6). Is (f\/6)\/(2\/148) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 + 130?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/9 - (0 - 7). Which is smaller: c or 71\/19?\nAnswer: 71\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 0, 24, -4.\nAnswer: -101, -4, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 9. Let m = -3\/35 + -11\/35. Which is the smallest value? (a) 2\/19 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0592295 micrometers?\nAnswer: 0.0000000000592295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 13. Let k(h) = -h**2 + 3*h - 6. Let r be k(-15). Let y be 15\/35 - r\/(-7). Let q(s) = s - 2. Calculate y*q(w) - 6*a(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35013638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/77 + 172\/693. What is the biggest value in x, 0.2, -2\/13, -2\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -211.3 and 21.4489?\nAnswer: -4532.15257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*x + 160 + 288 = 0, 0 = -i + 5*x - 85. Let v be (45\/i)\/(3\/(-12) - 0). Solve v*w = 3*t - 1, -3*t + 4 = 2*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(-1\/2))*u**(-2\/7))\/((u**(-2\/5)\/u)\/(u**(2\/3)\/u)) assuming u is positive.\nAnswer: u**(59\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 10 + 23 - 13.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 758, -3\/4 in descending order.\nAnswer: 758, 4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -234374327734 and 0.415?\nAnswer: 234374327734.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0488 and 17938.834178.\nAnswer: 17938.882978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k - 3*h + 12 = -106*k, 3*h = 13*k + 192 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/40 and 26\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*(-685)\/(-360)*-3 and 44\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46937810 is divided by 11734450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 370 - 356. Let v(m) = -m**3 + 4*m**2 - 4*m + 1. Let n be v(5). Let u = 98 + n. Calculate the remainder when u is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28211 is divided by 9365.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1464462 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-10)\/q))\/q**(-7)*q**7\/(q\/(q\/((q*q*q**(-5))\/q*q))) assuming q is positive.\nAnswer: q**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26853 = 3*b + 5*a - 26786, -5*b = -0*a + a + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 5, -0.1, 129, -5 in decreasing order.\nAnswer: 129, 126, 5, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 47.94. What is the fourth smallest value in 0.2, 7\/3, y, 0?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 6, z: 6}. Give prob of picking 1 z, 2 u, and 1 f.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-18)\/(-3). Let f = j - 5. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6719 + 6728. Suppose 0 = 5*a - 10 - 5. Let z(j) = 2*j + 3. Let m be z(a). Calculate the highest common divisor of y and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 62486760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6964453.195 and -1.626?\nAnswer: 6964451.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-54)\/9 - (0 - 0). Let a(x) = 8 + 5 + x + 12 - 24. Let m(w) = -3*w - 2. Give p*m(t) + 10*a(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52143462359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 29*i. Let t(k) = -k - 6. Let v(d) = 1. Let w(l) = t(l) + 6*v(l). Calculate q(w(z)).\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 4, q: 1, u: 2, c: 1, n: 3}. Give prob of sequence cu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20905, 20907, 20909, 20911, 20913, 20915?\n\"Answer: 2*p + 20903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162165837151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(931) + 2*sqrt(931)*-3 + (5 + -2*sqrt(931) - (2 + sqrt(931))*6)**2.\nAnswer: 749*sqrt(19) + 59635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 5*r - 5\/2*r**2 - 1\/2*r**3 - 1\/12*r**4. What is z(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5723 and 82.93361.\nAnswer: 5805.93361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-28) + 33\/77 - 15\/(-38)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 436 - 608 = 0. What are the prime factors of k?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -243*j**3 + 324*j**2 + 324*j - 324. Let i(o) = o**3 - o**2 - o + 1. Give -324*i(t) - l(t).\nAnswer: -81*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-28)*y)**(-3\/41)*(y\/y**(-19))**(-37) assuming y is positive.\nAnswer: y**(-30259\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1994.663 + 1996. Let k = h + -1.41. Round k to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**5 - u**4 + u**3 + u**2 - u + 1. Let g(q) = 11*q**5 - 5*q**4 + q**3 + 5*q**2 - 3*q + 9. Let a(j) = -2*g(j) + 18*z(j). What is f in a(f) = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -140, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363*m**4 + 2*m - 30 wrt m.\nAnswer: -4356*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1 - 50 - 16*p + 11*p. Suppose 31*o = -334 - 627. Calculate the remainder when m(o) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 36013 (c) -5\/6 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24857587*w + 118184. Let d(n) = -6731*n - 32. Give -14773*d(h) - 4*o(h).\nAnswer: 6715*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*p - 81*p - 73*p + 64*p - 48*p + 1 in the form k + a*p and give a.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 372 = -4*r. Suppose 3*p = 4*n - 5*n + 150, -3*n + r = 2*p. Let f = p - 25. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 236*j**5\/5 - 92*j**2 - 24. Find the second derivative of w(p) wrt p.\nAnswer: 2832*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 = -2*y - 29, 3*y + 4*o + 30 = 0. Factor 1 - y*d + 3\/4*d**2 + 1\/2*d**3 - 1\/4*d**4.\nAnswer: -(d - 2)*(d - 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (8 - (-38 - -40))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058552641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6\/(-3) - (-3118 - -79)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.019 (b) -3\/5 (c) 0.4 (d) -1 (e) -9 (f) 24.96\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -6726?\nAnswer: -6730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5340.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26176 in 1, -3, -5, -0.5, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2751942?\nAnswer: 2, 3, 337, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684771.\nAnswer: 3, 228257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/30)\/(987\/210 - 5). Let q = 390 + -388. Which is the nearest to 28? (a) 5 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4392811054 and -1\/12.\nAnswer: 26356866324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65839, 131763, 197687?\nAnswer: 263611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2416 - -2405. Let s(z) = -3*z**3 + 11*z**2 - 11*z - 11. Let k(v) = v**3 - 4*v**2 + 4*v + 4. What is g*k(i) - 4*s(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 - 5*q + 15. Suppose -k + 16 = 2*b, -2*k + 1 = -b - 1. Calculate the remainder when g(b) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.057 + -73.04. Let x = 0.833 + c. What is x rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 189, 282, 357, 408, 429, 414, 357?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2476 is divided by 1221.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**5\/7 - 40*c**4\/7 - 120*c**3\/7 + 540*c\/7 + 648\/7 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -2)\/(2\/62) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i + 6*i**2 - 9*i)*(-4 - 2 + 5) - 3*i**2 + 3 - 3.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -52, 731, -3, -2, 5.\nAnswer: -52, -3, -2, 0, 4, 5, 731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.21. Let n = 0.682 + 0.378. Let t = q - n. What is t rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 2*h**2 - 1699*h**3 - 1698*h**3 + 5127*h**3 - 1717*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 4 - 3*(-15 + -3). Suppose -7*w**2 - 61*w - 8 + 67*w**2 + q*w = 0. Calculate w.\nAnswer: -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*b = 35865 - 150646 - 49199. What are the prime factors of b?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.4 and -14?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55900283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1718, 3408, 5100, 6794?\n\"Answer: o**2 + 1687*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 4 + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 3:08 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 + 565*x + 25. What is p(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1522 + 1493. Put u, -2, 2 in descending order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(704) + 2)**2.\nAnswer: 96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-55))\/((-44)\/(-20))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-216)*-6)\/(4\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -f. Let p = -4 + f. Solve -20 = -5*v + 3*v - 3*l, -5*l = -3*v - p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 - (-2954)\/154. Let x = 192 + w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1458030.5 to the nearest 10000.\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17728 divided by 48?\nAnswer: 1108\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4523224 times -1.4\nAnswer: 6332513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005899 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: What is the highest common factor of 159241 and 1829?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2159*k - 57. Suppose -2*u = 4*d + 20, 17 = -u - u - 3*d. Is l(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 27*p**3 + 19 + 1441 - 1441 + 61*p**3 + (6 - 2 - 2)*(-p**3 + p**3 - 2*p**3) - 3*p**3 + 0*p**3 + 7*p**3.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -2960 + 2960. Let i(b) be the first derivative of 4\/5*b**5 + 0*b + m*b**4 - 4*b**3 - 4*b**2 + 6. Suppose i(x) = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00700846 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/5 of a hour?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = -71 + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 951.279 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(3\/7)*o**1\/(o*o*(o*o*o**(-1\/3))\/o*o*o*o) assuming o is positive.\nAnswer: o**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22886448 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: Calculate the remainder when 112707 is divided by 2398.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 + 9*u - 19. What is l(4)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 103 + 19 + 7*o + 6 + 18. Let i be j(-25). What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1505\/11 + -137. Which is the closest to 8? (a) -3 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132134 + 1034?\nAnswer: -131100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 13919796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 52 + 7*s**2 - 27*s**3 - 50.\nAnswer: -27*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*z + 30*z + 248. Let s = z + -120. Solve -3 = -m - 5*d, -s*m + 2*d + 22 - 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/24 + 7*y**3\/6 + y**2. Let m = 32 - 35. Let h(o) = 2*o + 15. Let s(v) = m*h(v) + 7*r(v). Determine s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 19. Let t be (1\/u)\/(1\/6). What are the prime factors of 9*((-88)\/(-12) + t)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**7\/273 + 4*l**6\/195 + 2*l**5\/65 - 17*l**4\/39 + 15*l**3\/13 - 18*l**2\/13 + 631*l. What is x in a(x) = 0?\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5533909.\nAnswer: 5533909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/8 - 25*k**2\/2 - 103*k\/2 - 52.\nAnswer: (k - 104)*(k + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103878461 by -2533621.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-820)*-5 - (5 - 5). Sort -1\/2, 3, -5, z in decreasing order.\nAnswer: 3, z, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768540 by 13.\nAnswer: -768540\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2970)\/108)\/((-5)\/(-2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -116?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5861*o - 356 + 96 + 260 to z*o + a and give z.\nAnswer: -5861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)*(-4)\/((-16)\/12). Solve -4*n + 2*n - 5*l + 1 = 0, q = -4*n - 5*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 - -351. List the prime factors of l.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, w: 2, d: 1, x: 1, a: 6, t: 1}. What is prob of sequence wa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9c (base 16) to base 10\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3235.2 + 2979. What is m rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11152292 and 524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:04 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, -1.3, 8\/7, 2\/7, -0.0242, 32?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23470 or 281627\/12?\nAnswer: 281627\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1474*c*f**3 - 1692*f**3 wrt c.\nAnswer: 1474*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.03365.\nAnswer: 0.003365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.23 (b) -3 (c) -5 (d) 0.26 (e) -4 (f) -16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.77 - 0.73. Let l = g + 5.5. What is the third smallest value in l, 0.3, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 3. Let w be ((-76)\/18 - 14\/(-63))*-19. Let b = 73 - w. Let g(a) = -2*a**2 + 2. Determine b*p(k) + 5*g(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-4140)*37527\/18. Let w = n + 93\/23. Are w and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3 = -6*z. Let x(n) = n**2 + n - 4. Let p be x(z). Does 16 divide (p\/(-5))\/(1\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {r: 3, m: 3, k: 1, e: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0768 + 64.2768. Let n = 59 - m. Let s = n + 5. Which is the third smallest value? (a) -1 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Let p = 8 - n. Suppose -13*m - 224 = 19*m. Put p, m, 0 in decreasing order.\nAnswer: p, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5939798 millennia?\nAnswer: 593.9798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 + 2*r - 3. Let i be z(3). Suppose d - i = w, 3*w + 198 = -3*d + 585. Calculate the highest common divisor of d and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867252.\nAnswer: 2, 29, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4 + 27*l**3 - 186*l**2 + 324*l - 168 = 0.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-9 + 1216\/76. Let l(a) be the second derivative of 1\/2*a**3 - a**2 + z*a + 0 - 1\/12*a**4. Solve l(u) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eteetjtje. Give prob of sequence ttj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1001212210?\nAnswer: 1001212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*(47*j - 440 + 440)*(-4*j - 3*j + 2*j).\nAnswer: -1175*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19983432 and 308?\nAnswer: 219817752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880357.\nAnswer: 47, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 3549304?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 8:48 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 5*v - 43, -33 = -3*p + 3*v. Let w be p\/9*6\/4. Is (-3 - (w - 3)) + 15 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/(39\/45 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378 - 383 + 4*t**2 + 1522 - 376 - 384.\nAnswer: 4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 42 = -4*a, -540 = 1074*a - 985*a + l for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 2, h: 5, u: 2, l: 1, p: 2}. What is prob of sequence plun?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 52. Let i be l(29). Let h(p) = 55*p - 35. Let v(t) = -6*t + 4. Give i*v(o) + 4*h(o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 9:51 PM?\nAnswer: 569","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/930 and (6\/(-175))\/((-4836)\/7371).\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -81*j**2 - j + 2. Let d = -3131 - -3132. Give h(d).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-33)\/176*(-8)\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 11 + 1. Suppose 0 = 3*k - 5*f - 4, 3*f + 14 = r*k + 2*f. Suppose 4*c = 0, 0*l + 4*c = -k*l + 33. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2745, 2710, 2675, 2640?\n\"Answer: -35*j + 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1986\/13 (b) 20785 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 911105359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 5. Let u(x) = 7*x - 4. Determine -2*t(v) - 6*u(v).\nAnswer: -38*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 18*q = 14. Let z = 2 - 2. Suppose y = 3*b + 12, q*y - b + z*b - 39 = 0. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0487 - 284.9513. Let a = w - -284. What is the second smallest value in a, -3\/4, -4\/13, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8846.\nAnswer: 2, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/((-12)\/30). Let i be 5*(4\/y)\/2. Solve -a - 4 = -i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldmjmdere. What is prob of sequence lr?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/12 - ((-67)\/(-45) + 10\/(-45))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.7164 litres to millilitres.\nAnswer: 62716.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*q - 10721, -2*q + 4*q = -4*j + 4282. Is 21 a factor of 4\/30 - (-13)\/(q\/135113)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540695163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1053.0494 + 47.6084. Let h = 1006 + k. Let s = 0.041 + h. Which is the biggest value? (a) 0.3 (b) 2 (c) 0.5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 121 + 84. Let u(x) = 4*x + 3*x - 42*x**2 + 0*x + k*x**2. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 3. Let u = -2 - -6. Let j be 6\/u + 6\/12. Let b(f) = -f - 2. Let h(r) = j*t(r) + 3*b(r). Let s(a) = -a. Calculate h(s(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4132 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/20)\/((-1)\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535672 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*a - 73, 4*b + 5*a = 21 + 114. What is the derivative of -44 + b - 116 + 94*v wrt v?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*y = -2*y + 27, -2*r = 4*y + 14. Suppose 4*s = r*s + 13. Suppose -3*n - w = -n - s, 23 = 4*n + w. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1144142.65 and -5?\nAnswer: 1144147.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6338*i + 6330*i + 526 - 527 + 21*i**4 to the form u*i + f*i**3 + k*i**4 + x + b*i**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 31*q + 122. Let d be b(8). Let x = 0 - -3. Suppose d*v = -3*v - 4*h + 22, -x*v + 3*h + 24 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - -92)\/(4\/20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 153\/32 (b) -1 (c) 0.13 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 314.\nAnswer: 313.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**3 - 12 - 395*c**2 + 194*c**2 + 201*c**2.\nAnswer: -24*c**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20503 and 9019?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8010.355 hours to seconds.\nAnswer: 28837278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r + 9 = -x, -17 = 2*r + 3*x. Let n be (-24)\/r*70\/21. Solve -4*c - n = 4*h, -4*c + 8 = -h - 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 3*h**2 + 2*h**4 + 3*h**2 + 0*h**4 - 1 in the form d + z*h + g*h**2 + c*h**4 + w*h**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -30, 0.1, -63, -49, 2\/15, -7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596603 divided by 7?\nAnswer: 85229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1641 divide 181651848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -438*g**5 - 745*g.\nAnswer: -8760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/5))**(16\/9))**47)**(6\/35))**(-3\/4) assuming r is positive.\nAnswer: r**(376\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Let b(y) = -36*y + 403. Let d be b(11). Suppose -d + 52 = v*f. Solve 31 = -5*w + 3*o, -3*o - 3 + f = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose 5*u = -4*x - z, -2*x - 2*x = -5*u - 18. Let i(p) = -2*p**2 - 4*p - 2. Determine i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1083\/(-6)*(-3 + 5). Let c = g - -622. What is the second derivative of -21*j + c*j**2 - 261*j**2 + 27*j**5 wrt j?\nAnswer: 540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100065 is divided by 73.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7608568, -7608564, -7608560?\nAnswer: -7608556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*g**3 - 23*g - 400*g**3 + 120*g.\nAnswer: g**3 + 97*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**5 - 3*c**2 - 8*c. Let g(s) = -3*s**5 - 4*s**2 - 8*s. Let v(l) = 3*g(l) - 4*o(l). What is the second derivative of v(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128\/7 - -1166\/63. Let y = 318 - 317.9205. Let m = -0.0205 - y. What is the nearest to m in -3\/8, r, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9371 and 431066?\nAnswer: 431066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10730113 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-504)\/10)\/(5 - 1218\/240). Let t = 1507 + r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11731 divided by -366\nAnswer: 11731\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -371 or -387239\/1044?\nAnswer: -387239\/1044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -16903 + 16695 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19122\/5 + 3824. Let b = -0.1 + -0.1. Let i = 2.94 + 0.06. What is the closest to v in i, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**3 + 17*t**3 + 1 + 2*t + 2*t**2 - 2*t**2 to the form l*t + y + b*t**2 + h*t**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-366)\/(-42) + 6\/21. Let i be (-2)\/(-6) + 69\/x. List the prime factors of i - 5 - (-2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 32509*n**2 - 180899*n**2 + 0.\nAnswer: -148390*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 68 = 0. Suppose -7*j = -3*i - 2*j + z, -10 = -2*i + 3*j. Put i, 4, 0 in ascending order.\nAnswer: i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - g = -l - 3, -17 = 4*l - 5*g. Which is greater: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 258733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38875 is divided by 270?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6975*l = 6973*l - 2*z + 38, -2*z = 5*l - 83. Let h(d) = -d + 7. What is the lowest common multiple of h(0) and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 2*h**3 - 13 + 35.\nAnswer: -3*h**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 13 (c) -217 (d) 196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*b**5 + 4 + (-b + 2 - 2)*(2*b**3 - 2*b**3 + b**4) - 4*b**5 + 3*b**5 + 3*b**5.\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/250 and 119\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/9, -14\/3, 0.3, -17, 4, 0.5?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -12?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 10101.9009.\nAnswer: 4040.76036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 - -175. Let r be (-5 - -8)\/(6\/58). Suppose 3*n = -4*g - r + 82, -6 = -3*g. Solve 6*w - u*w - n = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11333600 and 365600?\nAnswer: 11333600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 - 5*l**3 - 3*l**3)*(81*l + 112*l - 57*l)*(-l + 0 + 0 + (-l + 2 - 2)*(4 - 2 - 1) - l - l + 0*l).\nAnswer: 1088*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a\/a**3*a*a*a**(-4)\/a*(a\/(a\/(a\/a**(2\/11))))\/a)\/(((a\/(a**0\/a)*a)\/a*a)\/a**0*(a**(-2\/5)\/a*a)**(-25)) assuming a is positive.\nAnswer: a**(-255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-16)\/4) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.1, 5, -0.05734 in ascending order.\nAnswer: -0.05734, 0.1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 + 7*g**3\/2 - 17*g**2 + 96*g. Let v be r(19). Solve a + 0 = -2*x - v, 0 = x + a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (-4 + -13 - (-1 + (19 - 41))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**7\/140 + a**6\/720 + a**4\/8 - 2*a**3\/3 + a**2 + 11. Let s(v) be the second derivative of r(v). Give s(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + 1*((sqrt(648)*1)\/(sqrt(18)\/(sqrt(32) + sqrt(2))))**2).\nAnswer: -3594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -2*t + 3*x, 6*x + 8 + 12 = -t + 4*x + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -449, -688, -929, -1172?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323032021 + 10?\nAnswer: -323032011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 176 = 30*m + 13*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 - -78. Suppose 4*g + 3*s - 25 = 0, -5*g - j + 18 = -2*s. Solve -h + 11 = g*l, -5*l + 3*h + 21 = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*z - 3 = 199*z - f, -3*f = z + 7. Let h(v) = -v**3 + 15*v**2 - 15*v + 20. Let s be h(14). Which is the closest to 5? (a) z (b) s (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24920733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(4*w**2 - 3 + 3)*(0*w - 3*w + 5*w)*(-1 + 0 - 2) as b*w**3 + o*w**2 + t*w + n and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 3, c: 1, p: 2, a: 5}. What is prob of picking 1 a and 1 p?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 193, 783, 1763, 3133, 4893?\n\"Answer: 195*y**2 + 5*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 8, x: 2, m: 4}. What is prob of picking 2 u?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13341877 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 6*z - 113. Suppose -5*d + z = 5*l, 2*l + 3*d = 5*l - 6. Solve l*n + 8 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -2, -4 in descending order.\nAnswer: -2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c - 2. Let r be -2 + (2\/11 - 4\/22). What is the remainder when 38 is divided by h(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c (base 13) to base 3\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1830 and 1086609165?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - (-35)\/21. Suppose 0 = -5*i - k + 77. What is the remainder when 57 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8710146*k**5 - 416024*k - 18?\nAnswer: 174202920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39810, 159281, 358418, 637233, 995738, 1433945, 1951866?\nAnswer: 2549513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, d: 5, p: 3, m: 1, y: 3}. What is prob of sequence oom?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -208, -64, 188, 584, 1160, 1952, 2996?\nAnswer: 4328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 31. Let f be b(8). What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (10 + -7)) + 6 + 2 - -22\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 10. Which is the nearest to 1\/4? (a) -5\/6 (b) z (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -39. Suppose 3 = -x, -4*x + 5 = 4*v - k. What is the third derivative of 18*h**5 + 19*h**2 - 13*h**5 + 11*h**v wrt h?\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164356 (base 12) to base 6.\nAnswer: 12054150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*t - 199*t - 172*t - t - 3*t + 2*t + (4*t - 4*t + 2*t)*(3 + 2 - 3) + 2*t - 5*t + 2*t + 6*t - 3*t - 5*t.\nAnswer: -281*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/5 + 936*k\/5 + 54756\/5.\nAnswer: 4*(k + 117)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11224)\/(-2440) - -1*(-7)\/(-5))*1. Factor 12*b**2 - 8\/3*b + 2\/3*b**4 + s*b**3 - 16.\nAnswer: 2*(b - 1)*(b + 2)**2*(b + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - d - 6. Let u be j(9). Let t = -162 + u. What is the greatest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64474 divided by 1?\nAnswer: -64474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/143 (b) 3\/4 (c) -0.2 (d) 0.4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -33444076.27 to the nearest 10000.\nAnswer: -33440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 9)*(-13 + (-5733)\/(-442))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-4*sqrt(5)) - sqrt(1536)*-3)\/((sqrt(192) - (1*sqrt(192)*1 + sqrt(192)))*-1).\nAnswer: 95*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -25, -50?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 0 - (59 + -36 + -30) - -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 12*f**2 + 1 + 4*f**2 + 7*f + 2. Let m be a(7). Suppose 0 = 3*n, -3*s + 2*n = -m*n - 33. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:40 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97121, -194239, -291357, -388475?\n\"Answer: -97118*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66708648 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.99155 to 2 dps.\nAnswer: 1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.7 - -15. Let u = -14881\/58 + 513\/2. Which is the closest to u? (a) 5\/2 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.2751 + -0.0949. Let p = q - -35. Let k = -0.37075 - p. Round k to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 4, 2\/17, 0.4, 33203\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 43*g**2 - 82*g + 1. Suppose 9*d + 2132 = -43*d. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*s - 22 = 0. Let u be (-5)\/(s\/(-2) - -3). Suppose -10 = -u*n, -h - 2*n + 4*n = -68. What is the remainder when h is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - -3502126.\nAnswer: 3502154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 404 = 198. Let o = t + -54. Find the third derivative of 38*j**2 + 33*j**3 + o*j - 15*j - 17*j wrt j.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-6)\/(-5) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h - 287. Let l be r(-39). Let f be -2*15\/3*(-7)\/l. Sort f, 1, -26 in decreasing order.\nAnswer: 1, f, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 2*l + l)*(-1843*l - 1434*l - 915*l) in the form h*l + w*l**2 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/11)\/x)\/(((x**(-8\/15)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(-32\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33364405.721 - -33380412. Let m = v - 16016. Round m to 1 decimal place.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 8*j - 4. Let a be x(-7). Let v = 9 - 8.7. What is the nearest to -0.2 in v, a, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05476041 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 + 3*r**2 + 4*r + 3\/2.\nAnswer: -(r - 3)*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -218732.777 - -506\nAnswer: -218226.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x + 22. Suppose -5*m = -4*m + 4, 3*i + 3*m + 408 = 0. Let f = i + 139. What is the remainder when x is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10251641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/65 (b) -2 (c) -76 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9457\/4 - 4727\/2. Let l = -298\/385 - 2\/77. Put 1, l, -3, i in descending order.\nAnswer: 1, i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4\/7, 3\/2, 0.1, 1\/5, -233?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -377*a**2*n**3 + 2697*a**2*n**2 - a*n**4 wrt n?\nAnswer: -2262*a**2 - 24*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5942734 is divided by 1395.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - -12. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 12040*r - 7248080.\nAnswer: -5*(r + 1204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -20.12. Let k = -1.217 + v. What is k rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzzunnounnnbzzb. Give prob of sequence zu.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -0.016, -2\/11, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 99, 273, 529, 867?\n\"Answer: 41*z**2 - 31*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 2*q + q. Let d(g) be the second derivative of -7*g**3\/6 - 3*g. Determine d(i(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b5587 (base 12) to base 2.\nAnswer: -10110011011111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (13\/104 + 73895925\/24). What is p rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4 - (2 - 5) - -10) + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 167, 4 in ascending order.\nAnswer: -15, 4, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2476 - 2422. What is the closest to -1 in 2, 3\/2, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -113.9. Which is the biggest value? (a) 9 (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37699387 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1645160\/534677 + 1390\/(-156).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n. Let c(b) = -b**3 - 5*b**2 + 6*b + 2. Let d be c(-6). Suppose -6*y + 306 - 96 = 0. Let u(h) = -37 + 73 - y. What is d*u(j) - k(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 8, -x - 68 = -5*x + 5*t. Calculate the smallest common multiple of 2\/(-5) - (381\/(-15) - -4) and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.24 + 0.24. Let g = -8 + 15. Let m = o + g. What is the nearest to -1\/3 in 0.3, 4, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -15, -16, -13, -6?\n\"Answer: 2*c**2 - 11*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 1. Let r be 0 - (2 - 5 - -1). Suppose -2 = 2*s - 6, 5*s - 2 = r*a. What is the lowest common multiple of j and a?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c - 15*c**2 + 3*c - 6*c + 29*c**2 + 8*c**2 wrt c.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k + 23*k - 49*k. Let a be d(-3). Let r(h) = 4*h - 13. What are the prime factors of r(a)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 879492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11349 and 936.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46476076 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/62, -2, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let d(g) = -9*g + 81. Let v be d(8). What is the units digit of l\/6 - (-51)\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:47 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:01 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130926, -258532, -386138, -513744, -641350, -768956?\n\"Answer: -127606*t - 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let q(v) = 28846101*v**2. Calculate q(a(k)).\nAnswer: 115384404*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g + 15. Suppose -j - 3*j = -40. Is j\/(-4)*(-28)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00569845 to 4 dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 5*y**3\/3 - 12*y**2 - 3*y - 5. Find the first derivative of x(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 362338.6nm?\nAnswer: 362.3386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 17787?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 971069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21a6 + 17?\nAnswer: -218f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122954 and 33254?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3068 - 4289 = q, -4*q - 4421 = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724885705 to the power of 1\/2, to the nearest integer?\nAnswer: 26924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Suppose -7*q = -i*q - 64. Suppose -q - 24 = -5*d. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78451\/9 - 8717. Put -3, 0.66, -4, 5, r in decreasing order.\nAnswer: 5, 0.66, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/40 and 97\/880?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-4*n + 4*n + 2*n) - 2*n - 3*n + 3*n - 2*n - n + n)*(264 - 63 - 57).\nAnswer: -1152*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z*((z*z**8)\/z)\/z))\/z**(-19) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 10:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24576, -24951, -25576, -26451, -27576, -28951?\nAnswer: -30576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 3*p - 12*p)*(-p**3 + 2*p**3 - 10*p**3)*((2*p - 8 + 8)*(3 - 4 + 3) + 0*p + 6*p - 3*p).\nAnswer: 945*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (498015\/(-79050))\/((-3)\/(-20))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 3355 = 8*u. Let n = u + -151. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 7.25?\nAnswer: -72.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 190789, 381628, 572515, 763450, 954433?\n\"Answer: 24*t**2 + 190767*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -32. What are the prime factors of (-3 - v) + (1 - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 782, 1178, 1578, 1982, 2390?\nAnswer: 2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 - -2 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -61377?\nAnswer: 1\/61377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10139*r**3 - 76*r**2 wrt r?\nAnswer: 60834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3878 and 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 77*k - 44. Let y(x) = -x + 1. Calculate f(g) + 44*y(g).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/512 and 93\/1880?\nAnswer: 120320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/(-7480)*20*2\/4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4367825 and -6?\nAnswer: -26206950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, a: 5}. What is prob of sequence eea?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/(-1*(3 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, -0.3, -5, 118\/13, 185, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/394?\nAnswer: 1\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/13? (a) -20 (b) 5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -121, -225, -353, -505?\n\"Answer: -12*c**2 - 44*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(52) - (-1 + sqrt(13) + -4)) + 1 - (sqrt(1573) + 0 - (0 + 1*sqrt(13)))**2*6.\nAnswer: -7789 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 21 = -4*n. Suppose 3*c + n = 5*b + 38, -4*c = -4*b - 24. What is the tens digit of 3\/(-2) + (-249)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0243? (a) -2 (b) -4 (c) 3 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 16 (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281 (base 11) to base 9.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128062 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - -3. Let n be (13 + (1 - 0))*(-52)\/(-182). Suppose 3*g - 15 = 3*i - 42, 2*g = -n. Calculate the remainder when m is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -27*r**2. Let o(y) = -4*y**2 - 6*y. Let v(h) = 9*h**2 + 14*h. Let w(i) = -7*o(i) - 3*v(i). Give w(x(n)).\nAnswer: 729*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 850865499 equal to 850865500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 2, u: 2, a: 2}. What is prob of picking 1 h and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/164*(0\/1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -12)\/((-4 - -5)\/(-31)). Suppose 3*b = p - 111, 0 = 3*p + 3*b - 8*b - i. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.83 - 3.8300852. What is z rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + 109.84. Let x = -2 + y. What is x rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/16 (b) 3\/4 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 2. Let v be p(2). Suppose -2*m = -4*w + 2*m + 20, -m = 5*w - 19. Suppose -w*t = v*g - 0 - 18, -14 = -4*g + 3*t. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6*s - a**4*s + 87*a**3*s**3 - a**2*s**3 - a**2*s**2 wrt a.\nAnswer: 120*a**3*s - 24*a*s + 522*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3*(-4)\/(-1))\/((-5)\/(-5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -p - o = -2*o - 20, -y*o - 62 = -3*p. What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x**2 - 5*x + 5. Let h(a) = -17*a**2 - 7*a + 7. Let w(k) = -7*d(k) + 5*h(k). Let g(m) = 519*m**2. Give g(w(p)).\nAnswer: 519*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -127394 divided by 33.\nAnswer: -127394\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*s + 90 - 68. Put s, 90, -4, 5 in descending order.\nAnswer: 90, 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-4)\/(-36)*15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -17. Let z = 7.86 + l. Let b = -0.04 - z. Is b at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677355558 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -817 (base 11) in base 8?\nAnswer: -1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373429*p**3 + 7*p**2 + 34681 wrt p.\nAnswer: 2240574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1392)\/2142 + 4\/6. Let t(g) = -g**2 + 19*g - 33. Let k be t(17). Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -22. Suppose -106*h = -104*h. Suppose 2*a = -6*c + 3*c + 122, a - 2*c - 68 = h. What is the remainder when a is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/7)\/((-3)\/(-14)). Let k be (t\/(-15))\/((-6)\/15). Determine l, given that -2*l**2 - 2\/3 + 2\/3*l**3 + k*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 794 + -804. What is the units digit of 57792\/35 + 2\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((95\/114)\/((-20)\/(-9)))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840508 is divided by 1960?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67012 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 25. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148656 times -0.2?\nAnswer: -29731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3333498731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {g: 5, x: 1, h: 1, l: 10}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85310, 85500, 85690, 85880, 86070, 86260?\nAnswer: 86450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 3497021775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d + 133 = -719. Let g(z) = -2*z - 13. Calculate g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**2 + 30*u + 4. Let v be x(-14). Suppose 11 = -v*n + 55. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745216 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*k - 63. Calculate the highest common divisor of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-55)\/(-352))\/((-17)\/68). Sort 0, -0.4, 20\/9, b in decreasing order.\nAnswer: 20\/9, 0, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13390, -26779, -40168, -53557?\n\"Answer: -13389*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l = 107. Suppose -5*f + 3*f = -148. Suppose 5*m - f - 106 = 0. What is the remainder when l is divided by m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4125 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 + -4 + 5 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:23 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -1\/3*u**4 + 0*u + 2\/3*u**3 + 1\/336*u**8 - 1\/42*u**7 + 0 - 24*u**2 + 1\/60*u**5 + 7\/120*u**6. What is n in o(n) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -902*r + 908*r + 110, -26 + 11 = 9*p - 2*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**4\/4 + 20*v**3\/3 + 49*v**2\/2 + 12*v + 24. Is 30 a factor of r(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-4 - -10) + 5 + (-3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28332 and 871996?\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p - 5. Let o be k(1). Solve o*z = -2*w - 18 - 0, -z - 6 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -1, 1, 5 in descending order.\nAnswer: 5, 1, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 5)*1\/2. Suppose 2*z + 55 = -3*u - b*z, 3*z = 4*u + 25. Is (1 - -22) + (-10 - u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -608\/105 - -119\/15. Find the common denominator of -99\/14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684\/30*(-1)\/(-2)*5 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036126529?\nAnswer: 29, 35728501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 - 3*d**4\/4 + 7*d**2\/2 + 6*d. Let b be t(-9). Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.668023 years in months?\nAnswer: 8.016276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*d + 0*d - 3 - d**2 in the form s*d + w*d**2 + j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (4936\/(-6) - -3)\/((-3)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. Let k = g + 4. Solve k*s - 2*f + 12 = 0, -2*f - 1 = -3*s - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005301 is divided by 502590?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 98\/3?\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 26*r**2 + 81*r + 644. What is the thousands digit of y(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 6*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s - 10. Let h(i) = -7*i - 9. Let m(k) = 6*f(k) - 7*h(k). Calculate the common denominator of -37\/5 and m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3*z**2 - 3327*t**3*z + 543*z**2 wrt z?\nAnswer: 4*t**3 + 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h - 2793 = 282*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-16)*2)\/(40392\/4896)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*0 - (1 - 4). Suppose z*s = 7 + 2. Calculate the greatest common factor of 36 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 26 = 14*j - 111 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471 + 1021. Suppose 0 = -15*u + 80 + g. Calculate the remainder when 164 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64592 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f + 4*o - 36, -o + 5 = 0. Let s be f\/6*15\/(-2). Suppose -s*n + 43 = -7. What is the remainder when 29 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040149463 to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3*12\/(504\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-911*h + 457*h + 464*h)*(1 - 1 + 2)*(1 + 1 - 4).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*s + s - 20 = 0, 0 = 4*u - 2*s - 14. Let w be 4 + u\/(1 + -4). Let c be w + (2 - (3 - 1)). Solve -2*g + 5*a - 15 - 13 = 0, -12 = 5*g + c*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20812689595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*o - 7. Let l = 3 - o. Let m be 27*((l - -10) + -3). Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/10)\/(21042\/110220)*2*-3.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 96 + 5*i**2 + 16*i + 0*i**2 - 2*i**2 - 40*i - 56*i. Is 24 a factor of y(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.275ms in seconds?\nAnswer: 0.590275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 3\/47?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r = -32*r + 4659158. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -120, -129, -118, -81, -12, 95?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -64. Suppose 5*f + 2*u = 5, v*f = -13*u + 12*u + 10. Solve -7 = 5*t - 3*g, -2 = 2*t + 2*g - f*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 - 306. Solve 0 = 4*w - 12*w - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3921, 9707, 15493, 21279, 27065?\n\"Answer: 5786*f - 1865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2783493 - -4?\nAnswer: d2783497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15144940 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*p**2 - 4*p**2 - 153*p**2 + 2)*(-3 - 1 + 1).\nAnswer: 564*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.31?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3241 * -0.4.\nAnswer: -1296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7*p**7\/p*(p*p**(1\/5))\/p**(-1\/10))**(-2\/23))**(-47) assuming p is positive.\nAnswer: p**(6721\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 118, -4, 0.27, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-16) - (-5)\/8*2453\/55. Solve -19*v = -b*v + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.523534cm in meters?\nAnswer: 0.08523534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*q**3 + 16 - 11 + 241.\nAnswer: -74*q**3 + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88511.61kg in tonnes?\nAnswer: 88.51161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - 3*s**2 - 5*s - 1. Let y(m) = 3*m**3 + 5*m**2 + 9*m + 2. Suppose x = 5*x - 20. Let d = -17 - 150. Let k = -164 - d. Give k*y(w) + x*l(w).\nAnswer: -w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/((-2)\/(-2) + -2). Let q = h + -22. Suppose 8 = -2*r + 4*b, -r - 4*b + 18 = 2*r. Solve -5*k = -r*t - 3*k - q, 5*t = -4*k - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -0.2, 1, -0.1, 0, 13 in ascending order.\nAnswer: -0.2, -0.14, -0.1, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = 2*w + 191. Let p be w\/18 + 1 - -2. Let i = p + 24. Which is the nearest to 2? (a) i (b) 3\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 318 - 684 = -338 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f = 10. Let p be 1*(24\/21 - 1). Put 3, p, -1\/3, f in descending order.\nAnswer: 3, f, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 60246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 57 = 0. Suppose -4*h - 2*q - 5 + 13 = 0, -5*h + 2*q = -k. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from yrvqtvt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let k(j) = -13*j - 4. Calculate -6*f(m) + k(m).\nAnswer: -19*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -642045 divided by 112?\nAnswer: -642045\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3241*g*l**6 - 6*g*l - 135*g - 2*l**2 wrt l?\nAnswer: -388920*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/4*0\/2. Suppose 4*o - 203 + 43 = a. What is the greatest common factor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3232 + 38103. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046 * 2610.465\nAnswer: -120.08139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times 2444718?\nAnswer: -119791182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - -4*(-1)\/4. Suppose 0 = 3*v - t*v + 2. What is the derivative of v + b**2 - 7*b**2 + 3*b**2 - 2*b**2 wrt b?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12\/y**(-14\/9) assuming y is positive.\nAnswer: y**(122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 2. Let q be m(0). Is 14*(q\/4)\/1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y*y\/y**(2\/7))**(-2\/31) assuming y is positive.\nAnswer: y**(-108\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202010338?\nAnswer: 2, 281, 359449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -22330938 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -509 + 842. What are the prime factors of n?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(108)*1 - sqrt(108)))\/(-2*sqrt(18)\/(sqrt(3)*-1)*2).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.22 - -16.32. Let p be -4*(-1)\/(-2) - 0. Which is the second smallest value? (a) w (b) 2\/9 (c) p (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -2\/7, -26 in increasing order.\nAnswer: -26, -6\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*f - 23 - f - 19 + 5 + 376*f**2 - 375*f**2.\nAnswer: f**2 - f - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/(sqrt(3)*2).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose 33 = 3*d + 3*c, -4*d + 0*d = i*c - 44. Solve -3*o - 5 = -d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = n + 2970, 3*z - 186*n + 181*n = 1804. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6064*v - 54540. Let x be a(-9). Find c, given that 0 - x*c - 2\/3*c**2 = 0.\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 574741*17\nAnswer: 9770597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*z - 51 - z**2 + 1108*z.\nAnswer: -z**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0*v**3 - 18*v + 3\/5*v**5 - v**4 + 0 + 0*v**2. What is the third derivative of f(d) wrt d?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101010110 (base 2) in base 14?\nAnswer: 2cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -57 + 12*j + 70 + 22 + 3*j. What are the prime factors of w(5)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(104)\/sqrt(2))\/sqrt(4))**2 - sqrt(13)).\nAnswer: -5*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 10022110121112?\nAnswer: -10022110121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -108*q - 62 + 294 - 860*q**2 + 856*q**2 = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 5. Let h(j) = j - 1. Let v(t) = -2*b(t) - 10*h(t). Let m(i) = -19*i**2. What is v(m(w))?\nAnswer: 38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*r - 769 - 286*r - 394*r.\nAnswer: -186*r - 769","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 52 + 32 + 34)*(-d - 3*d + 3*d + 30).\nAnswer: -34*d + 1020","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3454420.909 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -14*j - 8. Suppose 5*n - 51 = 4*u, 3*u + 14 = -5*n + 72. Let c(t) = -5*t - 3. What is n*c(v) - 4*f(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2\/37 in increasing order.\nAnswer: -5, -2\/37, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 5:48 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 - 17*w - 35. Suppose -5*k - 4*c = 15, 11*k - 16*k = c. Let q(i) = -2*i**2. Let a(d) = k*p(d) + 4*q(d). Determine a(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 432, 515, 598, 681, 764?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-56 + 15 - (10 - 2)) - -7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -2 - (-95 - -159)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 - 26 = -5*g, 3*g - 13 = -2*f. Let w be f + ((-6309)\/4 - 2). Let j = 1595 + w. Calculate the common denominator of -55\/38 and j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 213*d - 210*d = 51, 3*d - 667 + 428 = -160*a + 742 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4)*-5 - ((-171201)\/(-3830))\/((-9)\/(-2)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28517 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b - 4. Let t be 0 + 0 + 105\/15. Let k be x(t). Differentiate 0 - k*u**3 + 11*u**3 + 3 with respect to u.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49132029 to the nearest integer?\nAnswer: 7009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 7\/5)\/(66\/165). What is the common denominator of ((-51)\/153)\/(d\/17) and 33\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.65501887 to two decimal places.\nAnswer: 6.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -0.96867.\nAnswer: -4.96867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u - 15*u = -18473. Let r = u - -614. Is 37 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrrhqqhhhhhhrqhqhhh. What is prob of sequence hhrr?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 11*p = -6. Let z = -3.9 + -1.1. Which is the third biggest value? (a) 1\/3 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41.7*4\nAnswer: 166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*k**3 - 118391*k**2 + 17024254 wrt k?\nAnswer: -210*k**2 - 236782*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 + 3*a**3 + a**2\/2 - 9*a - 552. Determine t(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3029397 - 2?\nAnswer: -3029399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5068 and 926719276.\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52360 and 1054?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33567072 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 17\/30*g**5 + 1\/105*g**7 - 3\/8*g**6 + 1\/12*g**4 + 0*g**3 - g - 37*g**2 + 0. Find the third derivative of h(k) wrt k.\nAnswer: 48*k - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.8. Let y = -0.14 - -0.1. Let i = 0.14 + y. Which is the nearest to i? (a) 3 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1145136053\/30 - 38167723. Let j = v - 3478. Calculate the common denominator of j and 23\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p - 14. What is the tens digit of p\/((-21)\/36) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*j + 7452 + 6168 = 0, 4*j + 20 = 0. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663107 is divided by 110508.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = x - 0*x - 502, -h + 254 = -x. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + i**3 - 3*i**3 + (-8*i + 8*i + 5*i**3)*(17 + 18 - 11) + (i - 2 + 2)*(3*i**2 - 2*i**2 - 3*i**2).\nAnswer: 117*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179962 and 117317.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3412*s - 2 + 49641*s - 12896*s + 48010*s.\nAnswer: 81343*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/32)\/(4 - 1). Let x = d - 323\/112. Let j = -208606\/9 + 23176. What is the common denominator of x and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 40*d + 39*d + 3. Let o be (0 - 1)\/(2\/6). Determine s(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42126209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 3 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 2, j: 6, z: 2, e: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11392 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 14*r**4 - 4*r**2 - 2*r**3 + r**3 - 2*r + 11*r**4 - r**3 to g*r**2 + d + j*r**3 + y*r + f*r**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 66, 74, 66, 36?\n\"Answer: -o**3 + o**2 + 22*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100111000010 (base 2) in base 3?\nAnswer: 1011112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4028381 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: Let l(q) = 29 - 12 + 8 + 2*q**2 + q. What is the remainder when 170 is divided by l(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -61 (b) 2\/5 (c) -1 (d) -0.3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*f**2*w + 3*d*f**2 - 376090*d*f - 66*f**2*w - 7*f*w + 11*w - 194 with respect to d.\nAnswer: 2*f**2*w + 3*f**2 - 376090*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -67, -71, -55, -19, 37?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 41368243163\nAnswer: 41368243162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833))**2 + -1)*3.\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 8\/110*-11)\/(4 + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 177, 353, 523, 681, 821?\n\"Answer: -t**3 + 3*t**2 + 174*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -39902.1, 1, -3\/2, -0.4 in descending order.\nAnswer: 1, -0.4, -3\/2, -39902.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -35*o + 179. Let d be a(-30). Let v = d - 560. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4\/7)*i**(-3\/2)*i**(2\/7)*i*i*i*(i**1\/i)\/i)\/((i**7*i*i*i)\/(i**(-2\/5)*i))**(-22) assuming i is positive.\nAnswer: i**(14561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 15*v**2 - 378*v - 392.\nAnswer: (v - 14)*(v + 1)*(v + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 211679 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(168)\/sqrt(3))\/((sqrt(64)*1)\/sqrt(8)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, 2, -72, -3, 246 in ascending order.\nAnswer: -72, -4, -3, 1, 2, 5, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-223)\/(-2)*-2)\/((-96)\/16). Let k = 73\/2 - d. What is the nearest to 0.1 in 1, k, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) + (-12 - -13). Let g be (4 - 7)*s\/3. Let u be 8\/(-2)*34\/(-17). Solve -j = -5*t - 2, g*j - 6*j + u = -t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/20)\/((-186)\/(-1550))*2*(-18)\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 266*d + 16 = -262*d, -4*d + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 6*b - 6. Let g be h(-2). Suppose -f + 35 = 2*u, g*f = -7*u + 2*u + 71. Calculate the smallest common multiple of 18 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q**(-7\/2)*q))\/q*q*q)\/(q*q**(-2)))\/(q\/q**(-32)*q\/(q**(-15)*q*q)*q) assuming q is positive.\nAnswer: q**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 307\/29 greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -18. Let k = q - 17. Sort 0.08, 2, k.\nAnswer: k, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-5 + 31\/6). Let f = -0.2 - -0.7. What is the nearest to 1 in s, -4, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*2)\/sqrt(5) + 2*sqrt(192) + (-3*sqrt(132)*1)\/sqrt(11))*-6.\nAnswer: -84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k + 14. Determine x(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rkrkrkrr?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i = -76*i + 57 + 467 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -15*k**4\/2 + 2*k**3\/3 - 68*k + 111. Find the third derivative of o(b) wrt b.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 319?\nAnswer: 37\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10934\/5 or -2186?\nAnswer: -10934\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -173*u + 193 + 172*u - 200. Calculate j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -32357.\nAnswer: -3\/32357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.144 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psis. Give prob of picking 1 p and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6*r - 208740, -2*r + 5*y - 9*y + 69590 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 5*y**4 - 10*y**3 + y**3 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 191, 313, 457, 629, 835, 1081?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n - 1. Let t(s) = s - 1. Let d(v) = -i(v) - 6*t(v). Give d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325210148871013 + -1\nAnswer: 325210148871012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + y = 28, 5*z + 2*y - 19 = 26. Suppose 5*r + 5 = -5*k, -2*r - 13 = -5*k + 2*r. Calculate the lowest common multiple of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 399 + -399.179. Let s = k - -0.1790304. Round s to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7065 and 1099.\nAnswer: 49455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10310278*t = -10310127*t - 8154 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m**2 + m + 6. Let p be i(4). What is the common denominator of (-3300)\/847 + (-4)\/p and 81\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 17934*l + 17934*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4 - 4)*(2*o**4 - 5*o**4 + 2*o**4) + 0*o**2 + 14*o**5 + 0*o**2.\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.2, -1\/2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = 8*t + 90 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 334850.25 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 46*w**2 + 2116*w + 97336\/3.\nAnswer: (w + 46)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1*1*sqrt(192) - (sqrt(192) - (2*sqrt(192) + sqrt(192) + 2))) + 4)**2)*-3.\nAnswer: -672 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 1. Let x be u(-1). Let w(v) = 2*v**2 - v + 2. List the prime factors of w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4032))**2 + sqrt(4032) + -3 + sqrt(7) + sqrt(35)\/(-2*sqrt(5)) + 4)*4.\nAnswer: 98*sqrt(7) + 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 4*q + 0*q - 2 - 2*q + 2 + (-3*q - 2*q + 4*q)*(-3 + 1 + 1) + (3*q - q + 3*q)*(-1 + 4 - 1) to v + t*q and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58846361 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*h + 828 = -179*h. Differentiate h*z**3 - 72*z**3 + 103 + 336*z**4 - 20*z**3 wrt z.\nAnswer: 1344*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-2)\/(-8))\/((-2)\/(-14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6 and -5\/501.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -23. Suppose l - 12 = -4*d, -2*l + 8 = -d + a*d. Solve d*h = 4*m, -h + 4*h = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 2, -4, -12, -28, 39 in decreasing order.\nAnswer: 39, 10, 4, 2, -4, -12, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 5495710?\nAnswer: 5495709.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.92 - 11.9. Put 2\/9, d, 3 in descending order.\nAnswer: 3, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10857*a**2 + 21710*a**2 - 10856*a**2. Let w(g) = 2*g + 313. What is k(w(v))?\nAnswer: -12*v**2 - 3756*v - 293907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Let k = 0.3 + n. Sort k, 0, 4\/7 in descending order.\nAnswer: 4\/7, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -441 (b) 36 (c) -0.01 (d) 6 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20486000.98 rounded to the nearest 100000?\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-15))\/(2\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + z + 5. Determine y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 2, 0.26, 0.3, 18.8 in decreasing order.\nAnswer: 18.8, 2, 0.3, 0.26, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 100*x**4 + 170680*x**3 + 2505296*x**2 + 1922336*x + 379008 = 0.\nAnswer: -1692, -14, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52027 is divided by 3060.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*a - 3455 - 1729 = 0 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 8. Let i be (-249)\/(-27) + (-8)\/36. Let f be y(i). Solve -f = -t - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - -0.3. Let r = s + -3. Suppose 10*d = 4*d + 12. What is the closest to -1 in 5\/6, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0303 - 53.0697. Let m = f + 53.1. Which is smaller: -66 or m?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 - (0 + 21 + (1 - 21 - -1))\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 6*b - 3. Let i be m(5). Suppose 0*f - 4*f - 12 = 3*g, -5*f - 8 = 2*g. Which is greater: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -5*u - x, -4*u + 160 - 31 = 3*x. Calculate the remainder when 353 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4084.6 and 179?\nAnswer: -731143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 2, g: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)\/(-6*sqrt(11)*-2) - (sqrt(84) + sqrt(84)*-2)\/(sqrt(3) + (sqrt(192) - (sqrt(192) + sqrt(192)*-2 + sqrt(192)))))*-3.\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*l + 6*d**2 - 3152*d*l + 15544*l wrt d?\nAnswer: 4*d*l + 12*d - 3152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67138?\nAnswer: 2, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/(-2 + 1) - (-18)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3 - 4 + 7*l**2 + 1. Suppose 4*u + 2*r = 24, 4*u - 4*r - 16 = -2*r. Let i(n) = 1 + 2*n - u + 4. Give f(i(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 56\/(-27))*54\/(-36).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3434, 7602, 11770, 15938?\nAnswer: 20106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 1314115935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.4. Let o = -25 - -45. Let w = 16 - o. What is the closest to b in -0.4, w, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:58 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 69*y**2 - 4*y - 1. Let c be g(-3). Suppose 0 = -4*q + 3*n + 833, -q - 2*q - 5*n + c = 0. List the prime factors of q.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001 + -11?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11415336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(64\/4))\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 13. Let r be m(9). Let v = 5 - r. Let o = -3 - -2.7. What is the biggest value in 2, o, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152824208 minus -0.062654?\nAnswer: 152824208.062654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -40. Let u = 33 - a. Let z = u - 66.000089. What is z rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29417518 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:25 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220.71 and 0.4.\nAnswer: 88.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 14\/5637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = y. Suppose -12*g + 13*g = -y. Sort g, -2, 5 in descending order.\nAnswer: 5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 89 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (27066\/(-16))\/1. Let r = -1692 - z. Let c = 347 + -1395\/4. Calculate the common denominator of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2672*q = 5*f - 2668*q - 25, 15 = 3*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 984948*938.\nAnswer: 923881224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1916 (base 12) to base 2\nAnswer: -101111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 5*s + 4*s - 12*s + 0*s. Let l(i) = -16*i - 9. Determine y(l(m)).\nAnswer: 64*m + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4167 + 10*h + 19*h**2 - 26*h**2 + 4186 to the form l*h**2 + d + b*h and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 54130595.\nAnswer: 16239178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:09 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 0 = 4*u - 8, -2*u + m = r - u. Solve 2*i + r = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 9*o**2 + 12*o - 1. Let x be t(-7). Which is the closest to -1\/2? (a) 5 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*m + 2*g, -5*m + 5*g = -0*g - 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/9)*k*k\/(k\/(k\/((k*k**(2\/7))\/k))*k)*k)\/(k**5*k\/(k**(-3)*k))*((k\/(k\/k**(1\/3)))\/k**(6\/5))\/(k**(-1\/3)*k)**(-20) assuming k is positive.\nAnswer: k**(2192\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 0. Let l(p) = -p**2 - 10*p - 10. Let f be l(c). Let z be (f - 0)\/(7\/2). Are -3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 54?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 7*x**2 + 4*x - 12. Let m(p) = p**2 - 3*p + 3. What is l(v) + 4*m(v)?\nAnswer: -2*v**3 - 3*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than 20.982?\nAnswer: 29.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-2) + (-12)\/(-8). Suppose -2*k - 4 = 0, v = 2*v - 5*k - t. Suppose 2*i = -v*i + 115. What is the remainder when 43 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 + -214. Suppose 9*s = 7*s + q. What is the remainder when 85 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -84, 2.\nAnswer: -84, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-61 + 59)*(1 - 6\/10). Which is the closest to 1\/5? (a) m (b) -1 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -49*w. Let r(q) = -9*q - 2. What is t(r(x))?\nAnswer: 441*x + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3698293383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16, -10*t + 2325 = -p - 9*t. Is p at least as big as -2322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + n = -4*n + 20, -h - 5*n = -30. Suppose h*m - 24 = 2*m. Suppose 0 = -3*k + 35 - m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*sqrt(200) - sqrt(200)) + 5 + ((2*sqrt(198))\/((sqrt(132)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: -40*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3776 and 5584232?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 + 10*d - 11. Let z be i(-11). Solve z = 6*b - 2*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.04. Let l = i - -0.26. Suppose -3*u = -0*u + 15. Which is the second smallest value? (a) l (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18014, 36821, 55614, 74387, 93134, 111849, 130526, 149159?\nAnswer: 167742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271748 = 318*i - 2903524 - 2642890. Does 97 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {k: 1, t: 1, o: 1, f: 1, l: 5, n: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*c - 293*c = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3204, -11728, -25574, -44742?\n\"Answer: -2661*h**2 - 541*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u - 5*x + 46, -3*u - 3*x = -48. Suppose -55*n = -185*n - 1170. Let a = n + u. Calculate the lowest common multiple of 11 and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b962ab (base 14) to base 16\nAnswer: -5fce9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -271907, -543812, -815717?\n\"Answer: -271905*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/3 (b) -23\/4 (c) 3 (d) -0.0627 (e) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 - 4*c - 18. Let f be s(-9). Let o be (-9)\/f*2*2\/(-5). Let a = 2.7 - -2.3. What is the nearest to 2\/13 in 1\/7, a, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26979476 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 2\/9 (c) -5 (d) -235 (e) -3 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 + 10*v**3 - 3*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 17. Let g = 0 - 0.2. What is the nearest to 0.1 in s, g, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-4 - (-88)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -c + 418. List the prime factors of 1\/(1\/c) + 6.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2955 is divided by 206.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 3994*p**3 - 3*p**2 - 2 - 673*p**3 + 3*p**2 - p**2 - 3350*p**3.\nAnswer: -29*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14762039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 16741 - 16741.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 118 - 45*w - w**2 + 58 to i + k*w + b*w**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 40 = 4*v. Let i = 15 + v. Suppose 3*x - i*x = -44. Let r(t) = -17*t + 14. Let f(y) = -6*y + 5. Determine x*f(u) - 4*r(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127065, -254087, -381109, -508131?\n\"Answer: -127022*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3006 + -1.3. Let p = 0.009 - c. Round p to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.51 - -113.51. Let i = o + 324. Let r = 438.98 - i. Round r to one dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((100\/330)\/(-10)). Factor 2101*j**3 + 3*j**2 - a*j**2 - 2100*j**3.\nAnswer: j**2*(j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-3)\/((-70)\/70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 42*j + 2554 - 793, 4*j + 156 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 19. Let o(c) = c**3 - 16*c**2 + 15*c + 6. Suppose -7*x = -2*x - 75. Calculate the smallest common multiple of y and o(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/65856 and 73\/2058.\nAnswer: 65856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 8, i: 4, y: 3}. What is prob of picking 1 y and 1 x?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -1468.297\nAnswer: -102.78079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23373 - -1.75?\nAnswer: -23371.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4776)\/(-22288))\/((-737)\/154)\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*12\/(-8) + 3. Let a be (3\/x)\/(3\/(-822)). Suppose -4*i + 0*z + a = 5*z, 2*i + z = 67. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 32*h + 8. Let y(m) = -57*m - 8. Calculate -7*x(o) - 6*y(o).\nAnswer: 118*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16*((-20)\/(-840)*-7)\/(1\/(-3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20990184*s**4 - 12135320 with respect to s.\nAnswer: -83960736*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-47)\/(-141) + (-48)\/36. Let -4\/9*y**3 + 0*y - 4\/9*y**4 + g + 16\/3*y**2 = 0. Calculate y.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1\/24*f**4 + f**2 + 2\/3*f**3 + 0*f + 0. Calculate m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -61, -82, -103, -124, -145?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1577*d + 313*d + 19242 - 19242 in the form l + f*d and give f.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431183 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12736.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from nonn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 5. Let t(z) be the second derivative of -5*z**4\/6 + 46*z - 3. Give u(t(m)).\nAnswer: -20*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z - 72. Let g be (-520)\/(-195)*9\/4. Let f be p(g). Sort f, 1, 10 in decreasing order.\nAnswer: 10, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - -1. Suppose -3 = 2*h + y. What is the lowest common multiple of (1\/(7\/(-54)))\/(h\/98) and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*a + 1. Suppose 0 = z + 4*h - 19, a*z = -h - h + 17. Suppose n - c - 15005 = 0, 4*n - 2*c - z*c - 60025 = 0. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308939 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(147) + -1 + sqrt(147))*-5 + -1 + sqrt(147) + 2))**2.\nAnswer: -12096*sqrt(3) + 191088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + d = -4*d + 1, 0 = z + 5*d - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -u - 4 - 67, 2*u + 152 = -4*q. Let w be ((-24)\/(-25))\/((-4)\/360). Let f = u - w. Which is the third smallest value? (a) -2\/9 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209566 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 90*t + 1\/6*t**4 + 0*t**2 + 0 + 0*t**3. Let x(n) = 3*n + 1. Calculate i(x(u)).\nAnswer: 18*u**2 + 12*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 1\/(-4))*-16 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/4 - 2\/8. Suppose 0 = -7*a + 3*a + 8, -4*l = -y*a - 14. Suppose 0 = -l*f + 191 - 36. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21897 - 4*x**2 + 21895 - x**2 - 16*x**2 + 3*x**2 in the form q*x**2 + j*x + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 + -351. Solve -4*s + g = q + 19, 5*s - 3*q - 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - ((-79 - -1) + 122)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -197*v + 199*v + 5*m, -2*v = -5*m - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 p, and 1 n when four letters picked without replacement from bugnnbpugpngb?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862856980.\nAnswer: 2, 5, 83, 113, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 3*u + 17699. Let q = -845 - u. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 493*c + 5275. Let u(d) = 3*d**2 + 492*d + 5274. Let x(o) = -6*j(o) + 5*u(o). Suppose x(b) = 0. Calculate b.\nAnswer: -10, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 8*l + 10. Give m(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79567 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + s + 6*s + 0*s - 15*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1033? (a) -2 (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 978.6? (a) 0 (b) 1 (c) 3\/2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -0.0177, 4, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*v - 8*v. Solve -x + 2*x - v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25264 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -4, -0.5, 0.09, 0.21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27771271, 55542549, 83313827, 111085105, 138856383?\nAnswer: 166627661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + -0.22. Let m = 0.68 + v. Which is the third smallest value? (a) -1\/9 (b) m (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ezzzzzzzez?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7438227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - 171\/(-6). What is the highest common factor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 69105 - 14538 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 909568 divided by -4\nAnswer: -227392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w**2 + 4*w + 4. Let p be k(6). Let i(m) = -m**3 - 7*m**2 - 14*m - 6. Let x be i(-6). Let n = x - p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 247412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 24542137*t + 8180712.\nAnswer: (t + 8180712)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 22*x - 57. What is the least common multiple of 8 and z(17)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258047*o - 4986 - 16289 = -258232*o for o.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 228187 + 7*q + 18*q - 228103. What is a(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 0, -5*u + 17 = y + 3. Let c = -6 - -8. Suppose 32 = 5*m + c. What is the highest common factor of y and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 36240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 = -5*h. Let f(m) = -4*m - 5. Let k(n) = 6*n + 7. Let p(u) = 18*u + 21. Let z(q) = -8*k(q) + 3*p(q). Calculate h*z(i) + 7*f(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 48*p + 190.\nAnswer: 2*(p - 19)*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12)*(-2)\/(66\/(-583))*(-1 - 2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/(y**(-1)*y))\/(y*y**(1\/2)*y)**(14\/3))\/((y**0)**(32\/7))**(8\/11) assuming y is positive.\nAnswer: y**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c82 (base 13) in base 7?\nAnswer: -25014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-924)\/(-189) - 352\/48.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*d - y - 28, 2*y + 8 = 0. Suppose d*g = -0*g - 12. Let x be 7\/70*1*-4. What is the nearest to x in -2, g, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 41*h - 944. What is the units digit of x(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90850096 divided by 12464?\nAnswer: -7289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22732 >= 10924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b + 7. Let l be r(1). What is the highest common factor of 55 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44910031 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-11)\/33)\/(1\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 4. Suppose 0*c + 4*z = -d*c + 118, -c - 4*z + 49 = 0. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935215466 minus -0.596?\nAnswer: 1935215466.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, n: 11}. Give prob of sequence nnnq.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0909 less than -2339?\nAnswer: -2338.9091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) 0.3 (c) 0.01 (d) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7905127048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 480, 1201, 2110, 3207, 4492, 5965?\n\"Answer: 94*s**2 + 439*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/8 + (-39)\/(-52). Let u = -3.93 - -4. Which is the nearest to j? (a) -0.5 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 + 8 = 0, -3*p = 2*r + 6. Suppose 8 = -p*g - 2*g. Which is the smallest value? (a) g (b) 2 (c) 0.04 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4*sqrt(539)*1*-4*-1)*-2)**2.\nAnswer: 3584*sqrt(11) + 552000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148732 (base 15) to base 14.\nAnswer: -1bad7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244617037 divided by -7.\nAnswer: -34945291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 593233 - 321662. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38698*c + 32389?\nAnswer: -38698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/24)\/(3\/(-62)). Let c = g - -6. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 52, 0.2, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 2 m when four letters picked without replacement from mxmxbmxxwxxxxxbxmwx.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7419 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(2448) + -4 - -1*sqrt(2448)*-3)**2*4.\nAnswer: -196340 - 4800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248761819*f**2 + 30866564*f wrt f?\nAnswer: 497523638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(28) - sqrt(7)) + sqrt(7)))**2 - (sqrt(21)\/sqrt(3)*3)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -415\/8 and -5\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (3 + -6)) + 15 + -12 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.5, -5, -4\/9, -87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 2, c: 1, w: 1}. Give prob of sequence pow.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 7823233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/12 (c) 6 (d) 4\/9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - i = 3*y + 14, i = 5. Let q(o) = -3*o**3 + 4417*o - 2114*o + 6 - 2284*o + 4*o**3 - 20*o**2. Give q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 163421 and 544?\nAnswer: 5229472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 65. Let m(j) be the second derivative of -j**3\/6 + 3*j**2\/2 - j. Let x be m(n). Which is the closest to -1\/2? (a) x (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.625 * -0.8\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 30 = 60*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*o = 3*x - 28, -3*o = 0. Let i = -42 + x. Let t = i - -49. What is the remainder when t is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.121, -1\/23, 1, 0.1?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -350324000 rounded to the nearest 1000000?\nAnswer: -350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**3 + q**3 + 2*q**3 + 3*q**2 - q**2 wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1123*q - 96*q**2 - 2 - 1124*q + 2250*q)*(3 - 1 + 0).\nAnswer: -192*q**2 + 6*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 9*k - 6. Let d(a) = a - 1. Determine c(p) - 6*d(p).\nAnswer: p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = -32. Let u(z) be the third derivative of -z**4\/12 - 5*z**3\/3 + z**2. Does 6 divide u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 + 0*c**4 + 13*c + 187*c**3 + 52 - 194*c**3 - c**4 - 53 to p*c**2 + u*c**4 + r*c**3 + h + t*c and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1)*(-4 - -1). Let p(a) = -2*a - 44*a**2 + 49*a**2 - 2*a**3 - 9 + 3*a**3. Let g be p(-4). Solve -t*r + g = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - u + 160 = -n, -140 = -4*n + 4*u. Let z = n - 34. Suppose 0*v - 5*r - 935 = -z*v, 2*v + 5*r - 402 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 3 (c) -1\/44 (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(242) + 3*((sqrt(242) - (sqrt(242) + 1)) + sqrt(242)) + sqrt(242))**2.\nAnswer: -550*sqrt(2) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -16793 (c) 10\/481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432137673 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i - 5. Let k be 2\/20 - 3950\/(-500). Let l(u) = 10*u + 3. Determine k*l(s) + 5*a(s).\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*-2*sqrt(99))\/sqrt(11))\/(sqrt(192) - (sqrt(192)*-1*-3 - sqrt(192))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28307 - -28307.4. What is the nearest to 45.6 in 0.3, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6584, 6464, 6262, 5978, 5612?\n\"Answer: -41*f**2 + 3*f + 6622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**3\/3 - 4*v**2 - 2*v + 1. Let y be t(-7). Solve 2*x - 4*x - 18 = 4*h, 3*h = y*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012116463 rounded to 6 dps?\nAnswer: -0.001212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1653229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 393*v**2 + v + 80.\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15616)\/(-7808) - (86 - ((-1)\/(-1) + -1 + -2))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbmbbbbbbmmbbbbbbb. What is prob of sequence mmm?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 912 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-14) + -2)*(-14)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:35 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274\/63 - 10103\/2772. Calculate the common denominator of 27\/8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1299, -101035 in decreasing order.\nAnswer: -2, -1299, -101035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -303344 (base 5) in base 6?\nAnswer: -113333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**3 - 2*g**3 - 5*g**3)*(-6 - 13 + 9)*(18*g - 3*g + 0*g) to r*g**4 + l + i*g**3 + t*g + b*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 96b4 + 65?\nAnswer: 9759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 16046?\nAnswer: 16045.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + 12, -19 = -a - 5*q. Suppose -m - 16 = -6*v + 4*v, v + a*m + 10 = 0. Solve -4*c = v + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p = 392 + 98. Solve 7*a - p*a = 4*t, 3*a - 2*t + 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 + 0*d**5 + 0*d + 1\/70*d**7 + 2*d**2 + 0*d**3 - 1\/80*d**8 + 1\/100*d**6 + 0*d**4. Factor y(j).\nAnswer: -3*j**3*(j - 1)*(7*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27\/18*(-16)\/54\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q + 99. Let c be p(4). Let i be 0 - ((-129)\/(-3))\/(-1). Is c bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 >= 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*r - 96 + 96)*(-14 - 1 + 3) - 2*r - 3 + 3 as t*r + l and give t.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**3\/5 + 84*d**2\/5 + 78*d + 120 = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37884970 or -37884962?\nAnswer: -37884962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3889603 is divided by 317.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times -0.06?\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -1, 0.5, 0.17.\nAnswer: -1, 0.17, 0.5, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21315, -41765, -62215, -82665, -103115?\n\"Answer: -20450*s - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5942*m - m**4 + 0*m**4 + 6152*m + (4 - 1 - 2)*(2*m**4 + m**3 - m**3).\nAnswer: m**4 + 210*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 + 110?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in 1\/10, -4, -12, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**3\/3 + j. What is the lowest common multiple of z(4) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -18. Suppose g = v + v - 32. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:25 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-56)*-4)\/(18\/126). Let t = -8 + 41. Factor -s - 9 + t*u - 20 + 13 - 9*u**2.\nAnswer: -3*(u - 3)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 0*z**2 + 4*z**2 - 3*z**2 - 3*z - 2*z**3 to h + a*z + w*z**2 + p*z**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b - 168 = 74*b. Let s = b - 40. Suppose -1229 = -s*p + y, 2*y + 604 = p + 5*y. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.035 and -0.2.\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10328 or -10327?\nAnswer: -10327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 18. Let r = 0.5 + -0.9. Let p = -1.3 + 6.3. Put r, v, p in increasing order.\nAnswer: v, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 9*g + 11. Let n be z(10). Let x(o) = -o**2 - 11*o - 4. Let f(i) = i + 1. Let w(m) = n*x(m) + 5*f(m). Calculate w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2712 divided by 18\nAnswer: 452\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818485523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 124 = 11*v. Let y be ((-30)\/v)\/15*10. Which is the smallest value? (a) -3 (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + 4*(sqrt(315) - -2*sqrt(315)) - sqrt(315))\/(sqrt(180)*-1))\/((2*sqrt(882))\/(sqrt(6)\/sqrt(3)*3)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 766581367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-6) - (1 - 0). Let y = 78.1 + -78. Which is the closest to y? (a) m (b) -2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zzaazzyaazaaayaayay.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 5 - (31 - 29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852499 is divided by 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from {f: 1, h: 2, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 103, 230, 407, 634, 911, 1238?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from gcqccqccgcccccqccgc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/5)*j\/j**(-1\/20))\/(j**29*j*j**(-2\/7)))**(1\/3) assuming j is positive.\nAnswer: j**(-3929\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-150)*-18)\/(3\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -14, 7 in increasing order.\nAnswer: -14, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/44 - 145\/(-11). Let s = -14 + w. Let u = 2848\/15 + -190. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 1 + 3*c.\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -380, -574, -770, -968, -1168?\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 32600.\nAnswer: -4, -3, 32600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*836674.\nAnswer: -25936894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 8*t + 180 - 636 = 0 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20699 is divided by 3448?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -37\/336*j**8 + 0*j + 0*j**6 + 0*j**7 + 0*j**4 - 3\/4*j**5 - 9*j**2 + 0*j**3 + 1. Find the third derivative of h(x) wrt x.\nAnswer: -2220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**2 + 14963765 - 14963765 - 167*d**2.\nAnswer: -137*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(19*j**3 - 73*j**3 + 15*j**3 - 109*j**3).\nAnswer: 148*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 6353438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -13*t + 22. Suppose 10*k = t*z + 6*k - 3480, 4*z - 2*k = 3472. What are the prime factors of z?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y + 3*y)*(2*y**3 + 6*y**2 - 6*y**2) + 2*y**2 - 2*y**2 - 2*y**4 + (-4*y**3 + 2*y**3 + 3*y**3)*(-y - 3*y + 3*y).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {e: 4, f: 2, l: 8, n: 1, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2494 - 2425. Calculate the highest common factor of 20217 and m.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1224\/1638 + 4\/(-14). Is 0.1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1786654, -3573324, -5359994, -7146664?\n\"Answer: -1786670*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6800\/(-1360) + 0 + 416\/84?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oelk when four letters picked without replacement from {o: 1, k: 5, l: 3, e: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.4 - -21.4. Which is the closest to -1\/2? (a) 4 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56783250 divided by -11356650.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 17, 5, -2234 in decreasing order.\nAnswer: 17, 14, 5, -4, -2234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.20242 rounded to 2 dps?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -25) + 7 + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/4 - (-8 - -4). Let r = -1341 - -2687\/2. Is r > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 + 34. Let d = 126 + p. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4180803?\nAnswer: 3, 11, 126691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413053499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14*u)**(2\/37)\/((u\/(u\/(u\/u**(19\/5))))\/(((u\/(u\/(u**(1\/23)*u)))\/u)\/u*u)) assuming u is positive.\nAnswer: u**(15549\/4255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11119460, 22238911, 33358362, 44477813, 55597264?\nAnswer: 66716715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -5*t + 8, 19*t - 17*n - 8 = 39*t - 19*t - 15*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 6. Suppose -4*r = -2*r - p. Which is the third biggest value? (a) r (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.2 and 1.2.\nAnswer: 7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0186 + 0.0814. Which is the second biggest value? (a) z (b) -1\/8 (c) -2\/13 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/21 and 701\/(-168) + (-58)\/203.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t - 6. Let y(d) be the first derivative of -d**4\/4 - 4*d**3\/3 - d + 1026. Determine y(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5244, -11, 1\/25, -2 in decreasing order.\nAnswer: 4, 1\/25, -2, -11, -5244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 3420 = 20. 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: Product of 24.6 and -97.1.\nAnswer: -2388.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - -5. Let v(q) = q**2 + q + 3. Let x be v(3). Suppose l + x - 28 = 0. What is the greatest common factor of o and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + -9. Let w be (15\/p)\/(25\/(-15)). Sort 0, w, 1\/4.\nAnswer: 0, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0, 0.03745, -0.2, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Let q be (-4 - g)*(-1)\/2. Let v be (-2)\/q*(-150)\/20. Solve 0 = -h + v*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 12 + 7 + 9 - 28.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 f, and 1 k when four letters picked without replacement from kfkqvufvvvkvu?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 52. What is the third derivative of 88*h**3 - 48*h**j + h - 4*h + 127*h**2 + 3*h wrt h?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/162678 and -155\/2574.\nAnswer: 69788862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 2*z + 4*y, z + 5*y = -4*z + 620. Suppose -77 = x - 6*x - n, 4*x - 79 = 5*n. What is the highest common divisor of z and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:37 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/25)\/7*(6 + 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(90\/(-27))\/(2\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.3, -1.082?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/21 + 2\/(-6). Let m = z + 18. Let d = -1 - -7. What is the remainder when m is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-1)\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5)**(-1\/26))**(-4\/9)*(t\/(t*t\/t**(3\/2)))\/(((t\/((t**(1\/3)*t)\/t))\/t)\/t)*(t**(1\/3)\/t*t)\/(t*t**8*t) assuming t is positive.\nAnswer: t**(-1813\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 342, 411, 516, 675, 906?\n\"Answer: 3*u**3 + 48*u + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9 + (-871)\/429 + 3\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 53, 46, 39?\n\"Answer: -7*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72))**2*4.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 222940 + 338465. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, c: 1, k: 1, h: 1}. What is prob of picking 1 v and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*y**2\/11 - 80*y\/11 + 25\/11.\nAnswer: (8*y - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*z - 3*a - 3, -z - 3*a - 6 = 0. Let r(y) = -z*y + 5*y + 4 + 11. What is the least common multiple of 1 and r(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334 (base 7) to base 11\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -7\/40060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -276*a**3 - 363*a**2 - 87*a = 0. Calculate a.\nAnswer: -1, -29\/92, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016717235 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16784, -7 in ascending order.\nAnswer: -16784, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/599297173 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 5 + (3 - (-2 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 73*r - 2883 = 0 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17616481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8576*2.98\nAnswer: -25556.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/21950?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 = -0*p - 4*p, 3*p - n = -10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1565, -2084, -2603, -3122, -3641, -4160?\nAnswer: -4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90920, 363854, 818730, 1455536, 2274260?\nAnswer: 3274890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 3. Suppose 3*l - o*h - 21 = h, -2*h - 6 = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/4)*a**(-1)*a**(-3\/2))**(-37))**(2\/111) assuming a is positive.\nAnswer: a**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1236736 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -3, 2\/11, -3\/31, -4\/359, -2?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/6)\/(25\/(-700)*12).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 598*x**2\/5 + 3561*x\/5 - 5328\/5.\nAnswer: (x - 592)*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 8, a: 7, r: 1, x: 1}. Give prob of picking 2 a and 1 r.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71346\/(-6578))\/(6\/(-52)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.0368 - 0.5368. Which is the closest to 123\/8? (a) 3 (b) h (c) 0.2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**2 - 2*i + 1. Let v be 3932\/(-7) - 7\/(196\/8). Let r = v + 576. What is the least common multiple of k(1) and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let c(v) be the third derivative of 13*v**6\/40 - v**5\/20 + 5*v**4\/24 - v**3\/2 - 1427*v**2. Is c(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 0.3. Suppose -n + 4*x = -25, 0 = -5*n - 2*x - 3*x. Let d be n\/52 - 88\/(-572). What is the third biggest value in 0.5, k, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10*(-85)\/221. Which is the third biggest value? (a) -4 (b) q (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2*r**3\/3 - 341*r**2 - 680*r - 511. Factor n(t).\nAnswer: -2*(t + 1)*(t + 340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u**2 - 12*u - 32. Let f(k) = 12 + k + 6*k - 4*k**2 - 2*k + 1. Let r(g) = -5*b(g) - 12*f(g). Differentiate r(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5852, -5875, -5914, -5969, -6040?\nAnswer: -6127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-18))\/(30\/(-36))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - 45\/(-110)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313615019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/8 - 718425*c - 120696723\/8 = 0. Calculate c.\nAnswer: -21, 1915821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13657838*d**4*n + 2*d**3*n**2 + 5*d*n**2 - 568*d*n - 2*d - n**2 + 43 wrt d.\nAnswer: -163894056*d**2*n + 12*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*w + 16559 = 3343 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 14*n**2 + 9*n - 41. Give w(15).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-10 - -12 - 46)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912 = v - 5*v. Does 3 divide 4\/(-6)*v\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 + 3*k - 3. Calculate the smallest common multiple of 11 and j(4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 82174696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0.1, -15\/13, 2\/13.\nAnswer: -15\/13, -2\/17, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 29. Suppose -i = -4*m + 11. What is the remainder when 12 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/6 + 11*k. Let b be (-30)\/(-12)*8\/10. Let i(n) = -4 + 4 + 3*n**2 - n**b. What is i(m(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -186. Suppose -20*b + c = -11*b. Is (7\/(42\/(-4)))\/(b\/(-4437)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.58457 - 0.05003. Round y to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*u = -567, -8*d - 2*d + 2*u - 10227 = -d - 9208 for d.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25505299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 12\/(-8))*-12. Is (268\/u)\/((-10)\/15) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 19551216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25893, -25896, -25899, -25902?\n\"Answer: -3*k - 25890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 10. Let i(t) = -1. Let o(w) = -d(w) - 3*i(w). Let f be o(9). Determine q, given that -2*q**2 + 3*q**3 - 5*q**4 + f*q**2 + 17*q**4 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -1494. Let w = 596 - -1450. Let o = w + j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + b**2 - 3*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -12*s**3 - 27*s**2 + 108282*s + 27072 = 0.\nAnswer: -96, -1\/4, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11 = -4*r, 0*r - 3*o - 1 = 2*r. Let f be (27\/(-45))\/(1\/r). What is the greatest common factor of 27 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 1. Let u(x) = x**2 + 3. Let d = 4 - 3. Let j(r) = d*u(r) + 3*s(r). Let y(l) = 2*l. Determine y(j(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:15 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7.5. Let m = 38 + -35. What is the second smallest value in 1, n, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - q - 1, 2*t + 22*q = 27*q - 46 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000944738446 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 54. Let c be (-1)\/(((-8)\/(-4))\/s). Solve -4*x = 5*l - 9*x - 5, x + c = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 13*g**2 - 6*g - 2. Let z be k(6). Let a be 3\/(-1) - (-3 + 0\/z). Solve -s + a*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40726 + -0.4\nAnswer: 40725.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 2*y**2 + y + 3. Calculate p(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/135139 and 27\/201700.\nAnswer: 13513900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*x. Let j be (-752)\/10560 + (-8)\/160. Which is the closest to j? (a) 4 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4.5. Let i = -2 + p. Let g = 317 - 317.5. Which is the biggest value? (a) 2 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 43*q - 5715. What is the remainder when 297 is divided by r(133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69088030 and 6908803.\nAnswer: 69088030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqkqqqqqqq. Give prob of picking 2 q.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 45*a + 5. Let o be g(-15). Let x(i) = -40 + 32 + 3*i - 2*i. Calculate x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*o + 196*o + 184*o + 182*o + 3*o**2 - 744*o - 23*o**2.\nAnswer: -20*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 35. Let c be x(-15). Suppose 0 = -54*h + 57*h - 315. Suppose c*f - h = 225. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9306 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752971.\nAnswer: 53, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 11*d + 12. Let g(q) = q**2 + 7*q - 4. Let b be g(-6). Let h be c(b). Solve -2 = -4*p - h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1452570720 to the nearest one million.\nAnswer: -1453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 at least -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 655 = 5*r + 1270, 0 = -a + 4*r + 637. What are the prime factors of a?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2\/12453, 2, -3, -6, 0.3 in increasing order.\nAnswer: -6, -3, -3\/5, 2\/12453, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 - -689. Let c = -48 + 30. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/195 - 39087\/(-559).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6778)\/(-6))\/(4 + 44\/(-12)). Suppose r = 2*r - f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5295181609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z = 52*z + 13*s + 193, 2*s + 39 = -2*z + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9424 by -1178.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*p - 9, -4*r + 0 = -3*p + 27. Let n = 6.72 - -0.98. Let u = -8 + n. Sort 0.1, p, u in descending order.\nAnswer: p, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**2 + 0*r**3 + 1\/20*r**5 + 0 + 0*r**4 + 0*r - 1\/24*r**6. Find the third derivative of v(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 2*v. Suppose z = -3*i - 73, -i + v*z = i + 60. What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 28*x**2 + 50*x**2 - 1 - 10*x**2 to z*x**2 + p*x + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (-102 - -23 - -93).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Suppose 4*f = 4*g + 160000, 3*f - u*g + g - 120000 = 0. Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1525, 1518, 1509, 1498?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 12*u**3 + 125*u**2 wrt u?\nAnswer: -60*u**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 1, -16, -31, -44, -55, -64?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2915*b - 2917*b - 25*b**2 + 3*b**2.\nAnswer: -22*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110333 (base 4) in base 8?\nAnswer: -22477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2 + -1) - -1. Let r be 112\/j + 4 + -1. Let o = -71 - r. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1497928 and 4520?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 814640 by 5990.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 61 + 69 = 0. Let i be (-39)\/j*(5 - 0). Suppose -i*u = -3*r + 48, 2*r - 5*u = 5*r - 24. Calculate the greatest common factor of r and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpprpprpqppqp. What is prob of picking 1 q and 1 b?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f**2. Let j(z) = -z**3 + 12*z**2 - 11*z + 1. Let q be j(11). Let h be u(q). Solve 2*w - d = 0, -4*w = 5*d + h + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:41 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2185697cm in micrometers?\nAnswer: 2185.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 80\/824383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7925*w + 7824*w + 909 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2. Let j(m) = -11*m**2. Determine j(q(a)).\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -481186, -962379, -1443572, -1924765?\n\"Answer: -481193*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 627339780 and 0.429182.\nAnswer: 627339780.429182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and 21.\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/720 + f**5\/60 + 11*f**4\/12 + 4*f. Let p(w) be the third derivative of n(w). Let i be p(0). Solve -i*h + 16 = 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-16))\/(4\/48). Suppose 3 - l = k. Is 10 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -47 - (409 + -354).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2722 + 2871. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43066746 - 0?\nAnswer: 43066746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2*u**4 + 66*p**2*u + p**2 + 4458044*p*u**4 - 3*p*u + 18*p - 4*u**2 - 3 wrt u.\nAnswer: -24*p**2*u + 106993056*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/70 - (-66)\/(-40))*(-209 + 261).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 - 4*z - 4. Let u be -33 + 0\/(-2) + 3. Let b be 36\/(-30)*u\/9. Give h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 1364.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7629 + 7915.5. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000193812233 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 8*y**2 + 15*y - 13. What is u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29688 divided by -6.\nAnswer: 4948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + p + 19, 3*g - 40 - 9 + 19 = 5*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 - -161. Solve -k = 2*q + 4*t + t, 2*q = -4*t - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - 4.5. Let y be ((-49)\/88 - (-68)\/374)\/(15\/20). Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/7 + (-16)\/(-56). Calculate the common denominator of -6\/59 and ((-1)\/f)\/((-30)\/105)*-36.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/7321 and -25\/21963.\nAnswer: 21963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3956 + 3961. Solve 3*c - f*n + 3 = -2, -c + n - 3 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006897 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -168.1*-4295.66\nAnswer: 722100.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*y + 12. Let w(u) = -2334*u - 1. Let o be w(y). Let p = 252197\/18 + o. Calculate the common denominator of p and -65\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:47 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556067 (base 8) to base 10.\nAnswer: -187447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(22\/6). Let v = 120 + -171. Let o = 56 + v. Which is the biggest value? (a) -0.4 (b) t (c) o (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 43*f = 274811 + 200949. Does 45 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Let c(k) = 7*k - 5*k - 3*k**2 + k + 1 - 4*k**2. Let a(s) = 4*s**2 - 2*s - 1. Calculate l*a(f) + 3*c(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 - 631*o + 631*o + 6*o**2 to the form n + w*o**2 + b*o and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0*x**2 - 2*x**2 + 2 + (-x - 1 + 1)*(1 + 2*x - 1) - 4 + x**2 + 4 + 127 - 127 + 35*x**2 to the form q*x + l + g*x**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {f: 2, w: 2, v: 1, d: 5, m: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/37, -1.2 in decreasing order.\nAnswer: -1\/37, -1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/5115*583 + -14.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 2. Let f be x(-3). Let w be 6\/14 - ((-936)\/14)\/(-9). Let c = w + 19\/3. Sort c, 2\/23, f in descending order.\nAnswer: 2\/23, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11569 (base 12) in base 4?\nAnswer: 11223201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/14909 - -14911\/29818. Let y = -0.6 + -2.4. Let u = -27\/10 - -209\/70. What is the closest to q in -1\/4, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/116613 and -103\/233226.\nAnswer: 233226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -14, -9\/8, -17, -3, 0 in decreasing order.\nAnswer: 4, 0, -9\/8, -3, -10, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 11*u = 6*u - 99776, -3*l + 3*u + 42762 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1037931202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppf when three letters picked without replacement from pdfpsdfddf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28847101 is divided by 4807849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -428815*r**6 + r**2 - 58616 wrt r.\nAnswer: -51457800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**5 + 3*q**5 + 0*q**5 + (94 - 94 + 17*q)*(-3*q**4 + 3*q**4 + q**4).\nAnswer: 26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Suppose -v - 2 = g, y*v - 3*v + 1 = 4*g. Let w = v - -5. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 16*u**2 + 2*u - 25. What is the remainder when 25 is divided by t(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 142, -7, -4, 318 in decreasing order.\nAnswer: 318, 142, -4, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84784635 to the power of 1\/2, to the nearest integer?\nAnswer: 9208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 14*o + 16. What is the hundreds digit of (64 - o\/(-4))\/(24\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 - -151. Let j = -19 - -28. Let o be j + 3 + m - (3 - 1). Solve 0 = 2*a - 4*a + o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*c + 909 = 3*h - 274*c, 3 + 5 = -5*c + 20 + 68 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/22069 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 16*d**2 - 31*d - 695. Determine v(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -11*j**5\/180 + 13*j**4\/72 - j**3\/9 - j**2. Determine s so that o(s) = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 135, 149, 163?\n\"Answer: 14*n + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.9 + -13.900335. Round w to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccycyncxdxcodddcoxn. What is prob of sequence yoc?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, -4, -35, -90, -175, -296, -459, -670?\n\"Answer: -v**3 - 3*v**2 + 3*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995423366?\nAnswer: 2, 7, 71101669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5327889ml?\nAnswer: 0.0005327889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4385524 and 4732?\nAnswer: 399082684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112251078 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73208781 is divided by 167.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3\/7 - 23823*m**2\/7 + 2677173*m\/7 - 2653353\/7 = 0. What is m?\nAnswer: 1, 113, 7827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1854\/5 or 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -22*r + 3. Let g be (-1)\/(-2)*60\/(-6). Let c(t) = -42*t + 5. Let i(b) = g*m(b) + 3*c(b). Let s(u) = u**2. Calculate i(s(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:29 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2401154211 to the nearest integer?\nAnswer: 49002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-12) + 3865\/3092.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 3) to base 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 129, 39, 0, -7.\nAnswer: -7, -2, 0, 39, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66326*p**3*w**3 + p**3*w + p**3 - 28*p**2*w - 2*p*w**3 - p*w**2 - 5*w wrt w?\nAnswer: 397956*p**3*w - 12*p*w - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16331284 is divided by 3035?\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 105. Let i = 84 - l. Solve 3*j - i = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416472 a multiple of 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-6*j + 0*j - 2*j).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1 + v - 2*v**3 + 0*v**3 - 4*v - v**3 - 4*v**2. What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7358, -7358, -7354, -7346, -7334, -7318?\nAnswer: -7298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -45*d. Let s(j) = -5*j + 6. Suppose a - 2*b = 4, 5*b = -3*a + 4*a - 1. Let q(f) = -4*f + 5. Let m(c) = a*q(c) - 5*s(c). What is m(l(u))?\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 4:11 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -5557 and 0.01 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 34. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9243, -9328, -9389, -9414, -9391, -9308, -9153?\nAnswer: -8914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:15 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1338*a**2*c**3*d + 2*a**2*c**2 - 4*a**2*c*d + 98*a*d wrt c?\nAnswer: 8028*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22330 divided by 638?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:26 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3, 3*i = s - 3*s + 70. Suppose -i = -3*u - 3*m, -4*u - 3*m - 2 = -31. Suppose 1 = -u*b + 4*r + 6, 5*b - 5 = 5*r. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11379 (b) 3\/7 (c) -20 (d) -0.1 (e) -0.2 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + -1*(-2*sqrt(10) + sqrt(10)) - (sqrt(70)*-1)\/sqrt(7))\/(sqrt(40)\/sqrt(2) + -1*sqrt(405)).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9765671 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvrmvmvnmvmvvvmnnmr. Give prob of picking 3 v.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**25\/f)\/f*f**(-12))\/(f**1)**(-23\/3) assuming f is positive.\nAnswer: f**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 9) to base 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 5*r + 0*r - 10*r as p + z*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/16 + 3541\/1040. Let w = -886676\/24765 + 3350\/127. Let r = w + y. Is -8 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 - 110\/(-7). Solve z = 4*n - 2*s + 6, 2*s = -3*n + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 90 = -2*i, -295669*q = 2*i - 295670*q - 18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:11 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 416034?\nAnswer: 2080170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 - 133 = -12*j. Suppose -p + l = -4*p + 20, 5*l - j = -5*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 331*l - 9301. What is p(-26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:12 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19382 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 - -14?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -276*z - 2267 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 - o - 4. Let p be k(-4). Let u be (-4)\/p - 37\/4. Let n(s) = s**2 + 8*s - 6. What is the units digit of n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -5. Suppose 0 = 2*g + 8, 4*h - 12 = -g + 4. Let j(d) = -4*d. Let r(o) = 3*o. Give h*j(v) + l*r(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/3))**32)**24 assuming i is positive.\nAnswer: i**1024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 1078.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(1 + 0\/(-3)). Suppose j = -11*l + 4*l + 63. Calculate the lowest common multiple of (10\/(-4))\/((-2)\/4) and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2 + 9\/((-9)\/8). Suppose 6 - 3 = -u. Put -1, l, u in descending order.\nAnswer: -1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o. Let c(s) = 100*s**2 - 3*s + 6. Let z(r) = -201*r**2 + 7*r - 15. Let a(p) = 5*c(p) + 2*z(p). Determine m(a(l)).\nAnswer: -294*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/(12\/42). Let h(r) = 126*r - 8. Does 17 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94418*l**4 + l + 261*l**3 - 94416*l**4 + 2*l**2 + 174*l**3 in the form h*l**3 + y + p*l + x*l**4 + a*l**2 and give h.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12*x**2 + 4*x + 4. Let y(m) = -60*m**2 - 21*m - 21. Determine -21*b(p) - 4*y(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1 - 3.1. Let c = 1 + r. Put 0.5, c, -0.4 in descending order.\nAnswer: c, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 divided by -2?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (83\/2)\/(1\/5*(10585\/58)\/73)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18553 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38622, -56349, -74078, -91809, -109542, -127277, -145014?\n\"Answer: -r**2 - 17724*r - 20897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c + 2. Give l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 - -249.2. Let p = w + -18.6. Which is the closest to -0.06? (a) -1\/5 (b) p (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3977\/18 + 221. Let t(g) = -g**3 + 4*g**2 + g - 5. Let i be t(4). Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805\/374*(102\/10*(-28)\/(-21))\/(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81376028751463.000083 - -81376062282993. Let l = -33531544 + t. Let k = l + 14. What is k rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00093524 rounded to six decimal places?\nAnswer: -0.000935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (10641 - 10641 + 76*a)*(-5 + 3 + 0) as i + q*a and give q.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931959 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 52. Let p(t) = 23*t**2 + 1. What is the remainder when p(-2) is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/108*(312\/(-14) + 22).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 77, 16, 3 in decreasing order.\nAnswer: 77, 16, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11024 is divided by 401.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 7c0b?\nAnswer: 7c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 b when three letters picked without replacement from bxxxxxbbbx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -67664?\nAnswer: 1\/67664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10846 and 633182?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -411*x**2 + 5340*x + 10. Calculate t(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.5, 73, 1\/6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -911 - -381713\/419. Which is the smallest value? (a) t (b) 1\/10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s + 14240917 = -52*s + 2320954. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 6?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14452, -28929, -43406, -57883, -72360, -86837?\nAnswer: -101314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10463105?\nAnswer: 5, 2092621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/27)\/(((-12)\/(-288))\/((-15)\/10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510642 (base 7) to base 4.\nAnswer: -111023220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 211\/11 + (-10)\/55. What is the greatest common divisor of 95 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 11\/175 (b) 0.5 (c) -17 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5768 divided by -4\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2)*(4*x**3 - 2*x**3 - x**3) + 3*x - 3*x - x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - -1425*(-14)\/42. Is -467 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**2 - 3*f + 4. Let w(q) = 6*q**2 + 2*q - 4. Let x(m) = -3*g(m) - 4*w(m). Give x(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 503820779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 - (-154)\/330?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/43 and 76\/15.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.039 + 0.504. What is t rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6801, 0.2, 0.1, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 + x**4\/12 + x**2 - 3*x. Let q be f(0). Suppose 2*m = 4*m + 2*t - 6, -q = -2*t. Solve -5 = -m*l + 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630172 (base 10) in base 11?\nAnswer: -a13855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289\/5 + -59. What is the biggest value in j, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598777 is divided by 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*t - 4*t - 4*o, -12 = -4*t - 4*o. Let h(s) = 12*s**2 - 15*s + 15*s + t. What is h(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**40\/r)*r)\/r**(-1\/14)*((r\/((r\/(r**(-4)*r))\/r))\/r)**11)**34 assuming r is positive.\nAnswer: r**(-16881\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/72 and -79\/137976.\nAnswer: 413928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8*v + 9. Let d be u(-6). Suppose 0 = 2*n + g + 3*g - 16, -g = -4*n + 23. Let w be ((-12)\/18)\/((-4)\/n). Put d, w, -4 in increasing order.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 - -125. Let m = p + 399. Calculate the remainder when m is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152669 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 43. Solve -3*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:59 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 6.1, -927, -3 in ascending order.\nAnswer: -927, -5, -3, 0.2, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 - 3 + 3 + 2 + (2 - 3 + 2)*(0 + 1 + 0) - 4 + 2 + 0 + 2 - 3 + 0 + 2 + 0 + 0)*(3*z**5 - 10*z**4 + 10*z**4) + 3*z**5 + 7*z**5 - 2*z**5.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 11475908?\nAnswer: -11475928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**2 - u + 2 - 3*u**2 - 2 wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/(a\/(a*a*a**(2\/7))))\/(a**(-3)\/(a\/a**(-2\/19)*a)) assuming a is positive.\nAnswer: a**(-214\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197c9 (base 13) to base 9.\nAnswer: 75132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -269\/12*g**2 - 261\/8*g**4 + 5*g - 88 - 9\/10*g**5 + 89\/2*g**3. Factor d(w).\nAnswer: -(w + 30)*(3*w - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12644718, -50578903, -113802540, -202315623, -316118146, -455210103, -619591488?\nAnswer: -809262295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0*(p**(-19)\/p)\/p*(p**12\/p)\/((p*p**(-23)*p)\/p*p))**(-9\/8) assuming p is positive.\nAnswer: p**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105887 is divided by 1103?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34926375 divided by 5?\nAnswer: -6985275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3334 + 3336. Suppose -5*r - 95 = -4*u - 3, 5*u - 3*r = 128. What is the third derivative of -8*l**2 - u*l**2 + 52*l**c + l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1057 * 62\nAnswer: -65534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000085025 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 128\/3. Let p = 3 + -1. Let b = -7 + p. Sort v, -0.4, b in increasing order.\nAnswer: b, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/250, -7, 2, 2\/13.\nAnswer: -7, 9\/250, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7d7 (base 14) to base 4.\nAnswer: -13300001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15804416*z**3 - 8*z**2 - 45423*z - 1 wrt z.\nAnswer: -94826496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 12*a + 2*w + 4, 5*a - 9 = w. Factor 7\/2*m**a - 9\/2*m + 1.\nAnswer: (m - 1)*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1409*n**2 - 4206*n + 66. Let x be h(-3). Factor -4\/7*l + 10\/7*l**2 + 0 - 8\/7*l**x + 2\/7*l**4.\nAnswer: 2*l*(l - 2)*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/5*15 + -13. Let j(c) = -c + 1. Let z(u) = 4*u - 4. Calculate o*j(s) - 2*z(s).\nAnswer: -4*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 6*t**2 - 2*t - 3. Let w(g) = 2*g**2 + 11*g + 9. Let f be w(-4). Let b be p(f). Let c(h) = 3*h + 2. Give c(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252894 + 4*z - 2*z + 4505798 - 2252904.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*j + 21 = -3*j, 5*h = -2*j - j - 21 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 29222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3239, 6464, 9699, 12950, 16223?\n\"Answer: g**3 - g**2 + 3221*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15541 (base 6) to base 13.\nAnswer: -1237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 14) to base 13.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 265*o - 8. Let j be n(4). Let h = j - 231. Suppose -3*d = -h - 130. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j - j - 2*j)*(-4 + 3 + 3)*(-7 + 11 + 4*j - 5).\nAnswer: 80*j**2 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 119347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 29*g - 20. Is 14 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + j**4 + 5*j**4 - 4*j**4 + 2*j**4 + 7*j**4 + (-j - 4 + 4)*(3*j**3 - 3*j**3 - j**3) + (2 - 2 + j)*(-4*j**3 + 10*j**3 + 2*j**3).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laa when three letters picked without replacement from {a: 1, m: 1, l: 1, z: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10434124 (base 5) in base 9?\nAnswer: 151556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/5 (b) -17 (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 285964 - -3?\nAnswer: 285967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 14*f + 17. Let p be ((-2)\/8)\/((-28)\/(-1456)). Let z be m(p). Solve -z*n + 28 = -5*l, -4*l - 5*n - 7 + 1 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190284, 190282, 190278, 190272?\nAnswer: 190264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -101*p - 4. Let g be n(-2). Let v = 93 + -91. Suppose -v*m - o + 33 = -0*o, -5*m = o - 87. Calculate the greatest common factor of g and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.065. Let h = 65.935 - j. Let m = h - 71. Sort -0.1, 2\/5, m in descending order.\nAnswer: 2\/5, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4824545 to the nearest integer?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-91)\/(-65) - (-2)\/(-5). Let x be 4\/(f*4\/6). Suppose -3*u + 9 = -s, -u + 6*u + 4*s = -2. What is the highest common divisor of u and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 10170*d + 2563*d + 2478*d + 2566*d + 2562*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -25053, 33, -2 in descending order.\nAnswer: 33, 4, 1, -2, -25053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:04 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**3 + x**2 + x - 1. Let q = 4 - 3. Let y be g(q). Let l be 2\/y*9\/6. What is the smallest value in -1, l, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359*u + 2*x = 1355*u + 16, 2*u - 2*x = 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 114 = 3*l, 7*l = 6*l + m - 39. Let a = l + 37. Solve -1 = 2*p + a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 13) to base 6.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a9e (base 16) in base 5?\nAnswer: 1333134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-4\/7)))\/g)\/g*g*g)\/g**(1\/5)*g**(1\/11)*g**2\/g*g assuming g is positive.\nAnswer: g**(948\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 11*t**5\/5 + 2*t**3\/3 - 10. What is the third derivative of a(x) wrt x?\nAnswer: 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 17*z**2 - 2*z - 64. Let i be g(17). Sort i, -5, 8.\nAnswer: i, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/a**(-10))**(-37) assuming a is positive.\nAnswer: a**(-703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1 - 11\/(154\/(-176190)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 21 - (-110 + 130).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -796 + 796.2. Let w = 3 - 8. What is the second biggest value in 3\/2, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 5. Let p be g\/(9\/(-3) - -2). Calculate the greatest common factor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 355777, 355695, 355615, 355537, 355461, 355387?\n\"Answer: p**2 - 85*p + 355861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310308 is divided by 327577.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(12))\/sqrt(6) + 2)**2 - (3 + sqrt(242)*-1 + -3).\nAnswer: 3*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 29 - (1 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 19*c**2 + 31. Let t be w(19). Find the second derivative of 491*y**4 - 84*y - 491*y**4 - t*y**5 wrt y.\nAnswer: -620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501703111?\nAnswer: 7, 13, 71, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) - (-660)\/(-8). Let i = v - -86. Suppose -11*x + 592 = -i*x. Is 75 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 + 2*x - 2. Let k be j(-10). Suppose k = 5*y + 2*y. What is the remainder when y is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 61.999999973. What is v rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 917648715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 237, 129, -127 in ascending order.\nAnswer: -127, -2, 129, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30570.08l to millilitres.\nAnswer: 30570080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3435, -4, 641 in decreasing order.\nAnswer: 3435, 641, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 3*k**4 + 4*k**4)*(-2*k - 3*k + 3*k) - k**5 + 3*k**5 - 3*k**5 + k**4 - 3*k**5 - k**4.\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t = -147*t - 1656 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1603 divided by 6611\nAnswer: 1603\/6611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*s + 2*x, -x = -s + 3*x - 7. Suppose -s*c = 9 + 6. Let h = -211 + 206. What is the second smallest value in h, c, 3, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4532, -5119, -5708, -6299, -6892, -7487, -8084?\nAnswer: -8683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9217 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 56 = -0*y. Suppose m = 2*n + 11, -2*m + 2*n = -0*m - y. Solve -3*w + 8*v = 3*v + 13, -m*v = w - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 10}. What is prob of sequence oo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**3 - 135*o**2 - 65*o.\nAnswer: -5*o*(o + 13)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069001 to 3 decimal places.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16850, -67135, -150964, -268337?\nAnswer: -419254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose b = -5*q + 5*b + 32, 2*q - 5*b - 23 = 0. Suppose -g = -t, i*g = -q*t + 6 + 12. Solve 0 = g*l - 6 + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/7, -0.5, -16, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/54992677 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 259 - 247. Let u = -52\/21 + 15\/7. What is the second smallest value in u, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*11\/44)\/((-7)\/294*-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 36 = 2*d. Suppose 3*b - 372 = -d*n, 2*n + 2*b - 186 = -0*b. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -140. What is the common denominator of 119\/18 and (9\/135*-291)\/(12\/c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let u(c) = -7 + 5 - c - 6*c. Calculate u(r(k)).\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p + 39. Let f = p + 12. Calculate the remainder when -1*(-1)\/(f\/(-14)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*r + 2 + 6, 2*i - r + 4 = 0. Suppose 0*n + 3*n + 26 = 2*h, i = -n + 4. Let f = h - 15. Solve 3*b - 26 = 4*d, 0 = f*b + 3*d + 9 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 13*s - 92. Is j(14) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - p - 11 = 0, -2*p + 119 - 146 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/10)\/((-33)\/110). Suppose 4*s + s - 106 = q*r, -3*r = s - 25. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a**2)*(135*a + a**3 - 135*a) + (4*a**2 - 2*a**2 + 0*a**2)*(-2*a**3 + 2*a**3 + 2*a**3) + 4*a**5 - 3*a**5 + a**5.\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*j + 72*j = 12. Sort -3, 13, j, -5.\nAnswer: -5, -3, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = b + b. Suppose b = 2*u + c - 482 - 3040, 4*u - 7032 = c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1210))\/sqrt(72).\nAnswer: 11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j - 39*j + 36*j + 18*j - 2. Let y(p) = 20*p**2. Calculate y(r(z)).\nAnswer: 32000*z**2 - 3200*z + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 498*u**2 - 3420*u + 2417256 = 0 for u.\nAnswer: -62, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(3) + sqrt(3))**2 + 2.\nAnswer: -8*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**6\/105 - a**5\/14 + 3*a**4\/14 - a**3\/3 + 2*a**2\/7 - 199*a. Factor f(b).\nAnswer: 2*(b - 2)*(b - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263\/195 + -4\/3. Let c(x) = x**2 - 2*x - 19. Let j be c(6). Suppose 11*i = 6 + j. Is g less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/20 + 2*s**4\/3 + s**3\/3 - 2*s. Let i = 20 + -12. What are the prime factors of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809645728.\nAnswer: 2, 11, 19, 37, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 644.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2700 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 2*s - 0*f, 0 = -s + f - 6. Let x(l) = 6*l**2 - 4*l - 7. What is the units digit of x(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - 2*l**4)*(93*l - 35*l + 42*l).\nAnswer: -200*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 6\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 48 + -66 + -48?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2541258 divided by 6.\nAnswer: 423543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69\/398 + 3018\/4975. Calculate the common denominator of z and -79\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 319*r**4\/12 - r**3\/3 - r**2 - 2*r. Let n be k(2). What is n rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 45 = 47, 2*a = 5*g + 2. Solve -4*j = -g*j + 8, 0 = -4*k - 4*j - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27382 - -76051. What are the prime factors of y?\nAnswer: 3, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13415, -13411, -13405, -13397, -13387?\nAnswer: -13375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1064)\/(-836) + 2496\/(-2376).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) -13 (b) -1.5 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -278d?\nAnswer: 278f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 3*j + 5*j)*(1 + 9598*j**2 - 2 - 9601*j**2 - 2*j + 181*j**3) as x*j**2 + u*j**3 + i*j**4 + k + d*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 4207.2.\nAnswer: 4207.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 1\/3*p**3 + 0 - 1\/5*p**5 + 1\/21*p**7 + 0*p**6 + 0*p**2 + p + 0*p**4. Solve s(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49*0.1\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7) - (-219)\/511\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -339734 + -1?\nAnswer: -339735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, v: 1, k: 2, o: 1}. Give prob of sequence vk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -74+62661605.8653\nAnswer: 62661531.8653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*a - 2*a + 7 = 0, 2*c + 4*a - 16 = 0. Let p(x) = -4*x + 2*x - 3*x - c*x. Let l(q) be the second derivative of q**3\/2 - 13*q. Give p(l(r)).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/89100 and -73\/4212.\nAnswer: 1158300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-1)\/(-24)*-2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 = m, 0 = -2*f + 5*f - 4*m - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -367, -447, -525, -601, -675, -747, -817?\n\"Answer: a**2 - 83*a - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*0\/41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 209\/32152?\nAnswer: 209\/32152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 44*j + 192. What is p(-43)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24))\/(-2*(-5)\/30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 930\/41, 0.3, -73.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9759, -5, 5, -2 in decreasing order.\nAnswer: 5, -2, -5, -9759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 9*z**2 - 480*z + 1885. Calculate s(4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.245 + 1.2450006113. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*b**3 - 133*b**3 + 125*b**3.\nAnswer: 397*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(sqrt(99) + 1))**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/20 + d**4\/2 + d**3\/3 - 4*d**2 - 14*d. Give c(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*v + 1, p = -4*p - 2*v + 18. Suppose -2 = -p*y + 18. Suppose -h - 470 = -3*h - 2*d, 0 = -2*h - y*d + 470. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -17. Let r be 21 - ((-32)\/24 + 16\/3). Let q(z) = z**3 - 17*z**2 + 2*z - 25. Let j be q(r). Solve g = -4*g - 4*c - 1, -j = 5*g - f*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 4*f - 66, -f - 48 = -k. Suppose 27 = 5*c - k. Suppose -12*a + 104 = a. What is the remainder when c is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37642610?\nAnswer: 2, 5, 19, 67, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1743067 to 2 dps.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000591392 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + s)*(33 - 68 + 30) + 3*s + 0*s + 4*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 23273640*q - 27083115942480 = 0.\nAnswer: -2327364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 9. What is h(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 3691796?\nAnswer: 3691798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 93 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + x)*(-3 - 1 + 0) + 2*x - 3*x - x - 3*x - 3 + 2 - 1.\nAnswer: 11*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-352)\/66*3\/(-4). Let y be (-354)\/(-114) + j\/(-38). Solve y*f - 4 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 793 = -5*m, 0 - 3 = m. Let o be 2\/(-5) + d\/(-10). Let h = o - 22. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 15 = -5*s, 4*s - 54 = -5*d. Find the common denominator of -139\/18 and 25\/d*(-107)\/(-35).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s\/((s*s**(9\/2)*s*s)\/s)))\/(s\/s**(-2\/3))**(-3\/16) assuming s is positive.\nAnswer: s**(13\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let s(f) = -5*f**2 - f. Let i(k) = s(k) + 5*u(k). What is i(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((3\/9)\/((-36900)\/(-6750)))?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5039835 is divided by 1679916.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.084 + 6.084. What is the second smallest value in 2\/11, l, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from olg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17132 = -3*j + 7*x - 9*x, 0 = -3*j + x + 17147. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 37*o + 41. Let u be j(-36). Let b be 1\/u - 1995\/(-275). Is 7 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -35) + 0 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 65*h**2 - 8 + 15*h - 4 - 66*h**2. Let p be s(9). Factor -36*l**2 + 2*l**5 - 15*l**3 - 5*l**5 + p*l**2 + 12*l**4.\nAnswer: -3*l**2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 78. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**2 - 37*r + 6. Let g(u) = 20*u**2 - 74*u + 10. Let d(l) = -6*g(l) + 13*k(l). What is the hundreds digit of d(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -1\/4, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -3 + 1*sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98) - (-2 + -1*sqrt(98)))) - (-4*sqrt(98) + -5 + -1))*6)**2.\nAnswer: 3024*sqrt(2) + 127044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m - 6. Let z(u) = 19 - 3 - 3 + 11*u. Let k(b) = 13*h(b) + 6*z(b). Let w(g) = 0 - 2*g**2 + 0. Determine w(k(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 12\/3)\/(17\/((-425)\/275))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1.1 (c) -0.059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -645 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6722 - -6723. Sort 4, 26, -5, 0, h in decreasing order.\nAnswer: 26, 4, h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67477, -67476, -67475, -67474, -67473?\n\"Answer: u - 67478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 102*o. Let t(d) = 18*d**2. Calculate j(t(r)).\nAnswer: 1836*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*1\/(10\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (27\/(-9) - (0 + 342)). Suppose -2*x - l = -5*g + x, 2*g - 4*x = 132. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15081 is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1320002*i**2 + 2. Suppose 2 = -3*h - 1, -h = -5*v - 229. Let q = 45 + v. Let s be l(q). Round s to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 79*w**2 - 5*w - 7. Suppose 2*z = 2*d + 12, 3*d + 3*z - 9 = -3. What is the units digit of y(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -17, -88, -219, -428?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 883.991 + 0.009. Let j = x - 890. What is the closest to j in -5, -8, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let l = -2 - -11. Let i = 13 - l. Let k(q) = i*q - 4*q + q. Calculate j(k(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157532 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/38 + 0 - 1. Let s(o) = -3*o + 19. Let b be s(6). Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281051 (base 9) to base 6.\nAnswer: 3401201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p + 10. Let o(f) = -2*f + 2. Suppose -2*z = z - 66. Suppose m + m = z. Determine m*o(y) - 2*x(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.16391 (b) 36 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2\/2 - 7*n - 1. Suppose -30*z + 3*g + 7 = -29*z, -5*g + 15 = z. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71\/3300 - 3\/1100. Let w = -12888112\/82884945 + 402\/29549. Let k = w - s. What is the nearest to k in 0.4, -1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*t**2 + 11*t + 5*t - 9*t**2.\nAnswer: 37*t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65189, 120462, 165819, 201260, 226785, 242394, 248087?\n\"Answer: -4958*s**2 + 70147*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105938163 and 63216?\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-4 + 5)*((-1670)\/(-1))\/(-1)?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 301.72?\nAnswer: 301.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3845 + 3845.5. Let i = 252 + -1254\/5. Put u, -1, i, -0.3 in decreasing order.\nAnswer: i, u, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 14*x**2 - 3*x - 4. Determine y(14).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r = -328740 + 328590 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and ((-615)\/30)\/(2\/(-8))?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 + 40 - 71 + 35 - 5*k - 2*k**2.\nAnswer: 14*k**2 - 5*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -20.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from {r: 2, w: 3, l: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 1680 = -4896. What is the hundreds digit of 7\/(14\/4) + y\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680.1027 millilitres to litres.\nAnswer: 0.6801027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*-1)*3 + sqrt(77) + (-3*(sqrt(77) - (sqrt(77) - 2*sqrt(77))) - sqrt(77)))\/(3*sqrt(44)\/sqrt(16)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -29, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4282 (b) 1\/6 (c) 805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406702971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27262.11 minutes?\nAnswer: 454.3685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212221200 (base 3) in base 16?\nAnswer: -ddfa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17857 is divided by 5950.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132)*4 - sqrt(132) - sqrt(132))*-3)\/(-1*sqrt(1728) + (sqrt(144) - (sqrt(144) + -1*sqrt(144)))\/sqrt(12)).\nAnswer: 12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1270*y**5 - 5*y**2 + 176.\nAnswer: -76200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 292790 divided by -190\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 47*g**2 + 208*g + 450. What is the units digit of s(40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -13*q**7\/1260 + 5*q**6\/144 - q**5\/3 + 14*q**2. Let o(f) be the third derivative of h(f). Is o(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 10 = 2*c, -5*f + 33*c - 35*c - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38318, 76548, 114778, 153008?\nAnswer: 191238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 15) in base 8?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 15*q - 2. Let y be f(10). Suppose -4*x + y = -120. Let m be 2\/(-8) + 159\/12. What is the highest common factor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:12 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6) + 4\/(-12). Suppose -2*d + b*d = 138. Suppose 0 = -4*a + 574 - d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/11 - 6802*s**2\/11 - 5813888*s\/11 - 51775488\/11.\nAnswer: -2*(s + 9)*(s + 1696)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*d**2 - 5*d + 2*d + 7*d + 4 - 88*d**2 - 3*d.\nAnswer: 453*d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -16, 5.13 in decreasing order.\nAnswer: 5.13, -16, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 less than 260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o - 4. Let q be v(-5). Let x = 4 + -1. Suppose -5*c + 5*p + 70 = 0, -5*p = -x*c + c + 34. What is the highest common divisor of q and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 + 32 = 0. Let x be 276\/10 - (-6)\/b. Suppose 3*n - 150 - x = 0. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -546 + 548. What is the third derivative of -q**4 + 113*q**6 + 80*q**h + 177*q**2 - 115*q**2 wrt q?\nAnswer: 13560*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 2, n: 5, t: 3, m: 1, s: 1}. What is prob of picking 1 j, 1 s, and 1 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221111221111 - -10?\nAnswer: -11221111221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3575619741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27255.9049808 + 27256. Let w = d + -0.095. Round w to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(23\/((-483)\/(-14))))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let w(s) = 10*s + 108. Let r be w(-11). Sort 3, 0, r, c in ascending order.\nAnswer: r, 0, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 27*c + 12*c - 91*c - 5.\nAnswer: -106*c - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 2\/9, -2, 1.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3857 take away 0.0707?\nAnswer: -3857.0707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -940\nAnswer: -2820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3015.152 centimeters to kilometers.\nAnswer: 0.03015152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41868, -38049, -31684, -22773, -11316?\n\"Answer: 1273*v**2 - 43141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let v = -3 + 3. Let k(i) = -4*i**2 + 4*i**2 + 3*i**2 + v*i**2. Give k(n(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*l - 30 + 91*l + 32 - 3 as y + d*l and give d.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(490) + (sqrt(490)*-3 - sqrt(490) - sqrt(490) - sqrt(490) - sqrt(490))))\/(sqrt(42)\/(sqrt(30)\/sqrt(5)*-3)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-13) + 13 + (-165)\/39.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 5. Suppose -5*b = 4*j - 5, -3*j + g - 2 = 4*b. Let i = -14 + 15. What is the nearest to -2\/7 in -5, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744, -1457, -2158, -2841, -3500, -4129, -4722, -5273?\nAnswer: -5776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:50 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 6*f**2 - f - 2. Give u(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - f - 110. What is the lowest common multiple of 4 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) - 1*2*sqrt(66)) - sqrt(66))\/((sqrt(168)\/sqrt(4))\/sqrt(7)) - 4*(-4*sqrt(66)*-3 + sqrt(66))\/sqrt(6).\nAnswer: -51*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - 5) + -3 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -21*q - 4. Calculate j(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-215)\/(-360) - (-6)\/(-16). Factor 0 - 2*v**3 - 8\/9*v**5 + 2\/9*v - 22\/9*v**4 - i*v**2.\nAnswer: -2*v*(v + 1)**3*(4*v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = 5*d - 9*d, 0 = -2*d - 2*j + 4. What is the second derivative of 522 - 16*a**5 - d*a**5 + 7*a - 522 wrt a?\nAnswer: -380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10621403 (base 7) in base 6?\nAnswer: 31532145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 823 - 3269\/4. Let i(n) = -610*n - 5. Let v be i(-2). Calculate the common denominator of (6\/(-20))\/(36\/v) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3\/7 + 18*h**2\/7 - 20*h\/7 - 6\/7.\nAnswer: 2*(h - 1)*(h + 3)*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3435.\nAnswer: -1\/3435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-91))\/((-5)\/15)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009024 + 868708 = 76*t. Does 241 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -212321 (base 4) in base 7?\nAnswer: -10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeuueuuuuuu. What is prob of sequence ueu?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -1\/6*j**3 - 2 + 7\/2*j**2 + j. Let d(i) be the first derivative of a(i). Determine d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 453*q + 29847. Determine p(-66).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -7262, -36, 0.2, 69 in increasing order.\nAnswer: -7262, -36, -0.5, 0.2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1075581, -2151156, -3226731, -4302306, -5377881?\n\"Answer: -1075575*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00726017 rounded to 4 decimal places?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/235 (b) -7 (c) 14 (d) -2 (e) -2\/21 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201430, 9611429, 32438562, 76891397, 150178502, 259508445, 412089794?\nAnswer: 615131117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*r - 3*r - 4, 0 = f + 4. Suppose -158 - 148 = -9*c. Suppose 2*v + 8 = 0, -2*w - 3*v + 50 + c = r. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*w**2 - 25 + 25 to g*w**2 + s*w + p and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -896.301129 to 1 decimal place.\nAnswer: -896.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 162773757428181.\nAnswer: 162773757428182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-2*(-1048)\/16.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**4 - c**3 - c**2 - c - 1. Let w(y) = -9*y**4 + 3*y**3 - 4*y**2 + 3*y + 3. Let m(s) = 6*q(s) + 2*w(s). What is the third derivative of m(g) wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18065000 rounded to the nearest one hundred thousand?\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2 + 12907*a + 24116.\nAnswer: -2*a + 12907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -16, 2\/3, -36\/59?\nAnswer: -36\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 6. Find u such that 3*u**5 - 6*u**5 + z*u**5 + 2*u**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4420848 and 1178.\nAnswer: 83996112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 23*x + 49. Let f be j(-2). Let z(h) = -h**3 + 3*h**2 - 2. Let u be z(2). Let y(d) = 8*d**u - 2*d**3 + 19 + d**f + 9*d - 9. Give y(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/162565, -577, -0.3, 0.2.\nAnswer: -577, -0.3, -2\/162565, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s. Let a(g) = -g**2 - 3*g + 3. Let j(m) = 6*m**2 + 14*m - 14. Suppose 1 = 3*u - 3*f - 17, -12 = 4*f. Let r(p) = u*j(p) + 14*a(p). What is n(r(w))?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 6, d: 4, q: 5, x: 4}. What is prob of picking 1 l and 1 x?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2. Let k(s) be the first derivative of -31*s**3\/3 - 354. What is k(z(f))?\nAnswer: -1519*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -5, -1, -8, 2, -3 in descending order.\nAnswer: 3, 2, -1, -3, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 159820000 to the nearest 1000000.\nAnswer: 160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/126*6*(-49)\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004643?\nAnswer: 3, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 397 = 3*y - 400, -4 = -4*y + 2*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f + 77. Give x(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -2 - (-8 + 1). Suppose a + 2*i = -a + 26, p*a + 2*i = 80. Suppose -10 + 2 = -3*x + 4*z, -2*z - a = -5*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192742?\nAnswer: 2, 11, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 103 - 10*z + 6*z.\nAnswer: -4*z + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015119612 rounded to six decimal places?\nAnswer: 0.001512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 92*b. Let k(q) = -16*q. Determine w(k(r)).\nAnswer: -1472*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16633225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 720805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17972 is divided by 17549.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5\/20 + 5*d**4\/12 - 7*d**3\/6 - 2*d**2 + 5*d. Let o be i(-6). Suppose 3*y - 15 = o*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*d**2 - 358*d**2 + 272*d + 42*d + 394*d.\nAnswer: -d**2 + 708*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112.2 + -145.2. Put -4, 3\/5, f in ascending order.\nAnswer: f, -4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 7*q - 2. What is r(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(-7\/3)\/i*i))*i**(3\/22)*i*i**27*i*i**(17\/6))**(-13) assuming i is positive.\nAnswer: i**(-4238\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x + 0 + 7*x**2 - x**2 + 0 + 2*x**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -388, -493, -598, -703, -808?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -317, -11 in increasing order.\nAnswer: -317, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, 0, -25 in ascending order.\nAnswer: -25, 0, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*t - 81*t - 90*t + 251*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 times 0.044442?\nAnswer: 5.466366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 882*h + 2619.\nAnswer: 3*(h - 291)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 28 = -357. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4548)\/13563 - 3\/18*-2. Let x = 113049\/12056 + m. Find the common denominator of x and (-61)\/(-2)*(-2)\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0052 and -1259742020.\nAnswer: -1259742019.9948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291 and 4559?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -110, -5, 5 in ascending order.\nAnswer: -110, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1646 - 1643. Sort a, 2, 12, -3 in descending order.\nAnswer: 12, a, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 36 = 3*y, 0 = 4*s - 2*y + 1 - 29. Let j be 1 + s\/(-2 - -4). Suppose -7 = -j*m + 1. Is 3 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31242, -30522, -29802, -29082?\nAnswer: -28362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*x, 0 = -3*j - 573*x + 567*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/7 - (-1446)\/42. Suppose -z = -c + 19. Calculate the smallest common multiple of c and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 8*b**4\/11 + 1062*b**3\/11 - 266*b**2\/11 = 0.\nAnswer: -133, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p - 32 + 138*p + 48 - 16 - 1040*p.\nAnswer: -922*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.839 - -0.5. Let k = 0.014 - 0.075. Let r = m + k. Sort 0.2, r, -0.5, -2\/3 in descending order.\nAnswer: 0.2, r, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 9*r - 1. Let z be b(8). Let c be (z - 7)\/(4\/2). Suppose -5*v + 20 = -c. Solve 2 = -g + 4, -12 = v*l + 2*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (25 - (4 - 37) - 13)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 6*x**2 - x - 5. Let o(d) = d**3 - 3*d**2 - 2. What is 2*k(q) - 5*o(q)?\nAnswer: -q**3 + 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. Let f be (15\/(-12))\/(r\/16). Factor 2*u - f*u**3 + 0*u**3 + 8*u - 5*u**2.\nAnswer: -5*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -0.43. Which is the second biggest value? (a) q (b) -0.1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 348*j. Let q(p) = 365*p. What is q(n(b))?\nAnswer: 127020*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -16. Let x(r) = -3 + 3 - g*r**2 - r**3 - 7*r. Let k be x(-5). Solve 5*v + k = 5*u, -2*v + 8 = -6*v + 3*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10112592 by -5.\nAnswer: 10112592\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p + 13 = -39 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 926813418 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/342 - 0). Suppose h = k + k. Suppose 5*w - k = -4*s, 2*w - s = -5 + 20. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 10*q - 3. Let d(v) = 2*v**2 - 9*v - 4. Let g(m) = -3*d(m) + 2*y(m). Let c be g(4). Let t(i) = -3*i + 3. Give t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1237, -10569, -35959, -85435, -167025?\nAnswer: -288757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*-3*(3 + (sqrt(612) + sqrt(612)*1)*-1)*4)**2.\nAnswer: -366336*sqrt(17) + 12735376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 996922*y\/3 + 78794284.\nAnswer: -2*(y - 237)*(y + 498698)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52459.42 millilitres in litres?\nAnswer: 52.45942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*v + 60, 4 + 36 = 2*v - 4*f. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3564056 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692 = -7*v + 3*v + 4*u, 340 = 2*v - 5*u. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29666\/56 - (-20)\/16. Let y = -471 + m. What is the least common multiple of (-2)\/7 - (-284)\/14 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*l + 4, 2*l + v = 2 - 4. Let h = -12 - -7. Sort h, -1, l.\nAnswer: h, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1215, 6878, 21507, 49590, 95615, 164070, 259443, 386222?\n\"Answer: 748*p**3 - 5*p**2 + 442*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 10 = -4*t - t, -3*t + 5*w - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -4, 6 in decreasing order.\nAnswer: 6, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241180*q**3 + 3*q**2 + 23*q + 58156 wrt q.\nAnswer: -1447080*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.65+-228008592385\nAnswer: -228008592383.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 11:54 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 3. What is r(-12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 11:46 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207\/308 - 6\/77. Let a = -0.5 - 0.5. What is the closest to 2\/21 in l, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.7 times -1394?\nAnswer: 81827.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-1)\/(-4)*-10. Let b = j + -3. Solve -b*p = 2*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16173)\/3996 + 4)*76\/(-399)\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43856319 plus -214959?\nAnswer: -44071278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 128 + 294 = 2*h, -4*z = -h - 869. Calculate the greatest common divisor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -12. Suppose -2*y + 4*y = 0. Solve 4*z + z + v - p = y, 3*z + 3*v = 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1248 + 3 + -1. Suppose -4*s = f - 3742. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3128, 3130, 3132, 3134, 3136, 3138?\n\"Answer: 2*q + 3126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6, 5, 1, -1\/3, -0.3782, -1\/4, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 5\/6, 0.5, 29\/52, -0.3403 in ascending order.\nAnswer: -0.3403, 2\/19, 0.5, 29\/52, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 5 (c) -1\/54 (d) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3\/3 + z**2\/2 + z - 9. Suppose -866*n - 14 = -859*n. Let i(j) = 4*j**2 + 3*j - 2. Calculate n*b(k) + i(k).\nAnswer: 2*k**2 + k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 10. Let j be ((-18)\/(-60))\/((-6)\/(-5)). Let n = 5.1 + -5.3. Which is the second smallest value? (a) y (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - (3 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12099 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196406*g*j**2 - 3*g*j + 12*j - 2138 wrt j?\nAnswer: -392812*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -98\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2079*-137.36\nAnswer: -285571.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*y + 15. Suppose 0 = -22*z + 23*z - y. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1459952 minutes to hours.\nAnswer: 0.01909992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -351104 (base 9) in base 8?\nAnswer: -633516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 - 2*j**2 + j. Let r be l(2). Calculate the common denominator of (r\/(-60))\/(-1 + (-28)\/(-3)) and 91\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/58 and ((1\/108)\/(2 + 4641\/(-2314)))\/4.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 446\/(-2)) + (5 - 3).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-60) - (7 + (-116)\/16). Which is smaller: -230 or u?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1137*z**2 + 2*z. Let a(w) = 10*w. Determine r(a(n)).\nAnswer: 113700*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0608944 + -0.0615. What is q rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4211 (base 6) to base 9.\nAnswer: -1257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 + 4148*p**3 + 2150730*p**2 - 16592*p - 8602952 = 0 for p.\nAnswer: -1037, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 1\/10, 57 in descending order.\nAnswer: 57, 2, 0.2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2319\/2 + -1192. Calculate the common denominator of q and 311\/(-40) + 2\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.2 - -43. Let y = 3.6 - 2.3. Let l = z - y. Put l, 3, 0.1 in increasing order.\nAnswer: 0.1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 10. Let y be 4 - (-3)\/6*2. Give u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 10*w - 10. Calculate g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - b**2. Let c be o(1). Suppose h - 23 = 3*y, 5*y = -c*h + 89 + 20. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -19) + 18 - 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t**2 + 452*t - 4839. Determine w(10).\nAnswer: -1619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 4*f - 3. Is j(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 (base 4) in base 14?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (5 - (0 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose z = -z - 6, -5*h + 5*z + 35 = y. Solve 0 = s - 0*s + 2*i - 2, -h*i - 20 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 119 - 4*j**2 - j**3 - j**2 + 4*j**2. Is r(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9101 + 9378. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.006889 and 1.\nAnswer: 0.993111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83613 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/6 - 2*a**3 + 4*a**2 - 5*a. Let w be p(6). Solve -y - 11 = -3*l - 1, -w = -4*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let u = w + 0. Let t(c) = c**3 + c**2 + c - 1. Let y(j) = -7*j**3 + 3*j**2 + 2*j - 2. Let i(g) = 3*t(g) - y(g). Give i(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848606.9 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 34 + 222 + 1005 = -1030 for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 1, n: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6246 - 5553. What is the highest common factor of h and 3069?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -18. Calculate the remainder when (-818)\/(-10) - x\/90 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -330, -334?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - 0 - (1194 - 1258).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2229 (c) -2\/33 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cveodzc. What is prob of picking 1 v, 1 c, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-6*5 + 5)**2 + 0 + 2 + (sqrt(19) - (sqrt(171) - (sqrt(171) + -2)**2) - (sqrt(95)\/sqrt(5) + -2)).\nAnswer: -315*sqrt(19) + 17304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -31851094 and -31851088 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 16*x - 32. Let m be o(-17). Let i be (39\/m - -3)*-20. Sort i, 5, 0 in decreasing order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d0dee (base 15) to base 3\nAnswer: -2200011202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.5. Let h = -0.06 + -5.94. Let m = h - -10. Which is the second biggest value? (a) m (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44770021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 4*z - 26. Let k be m(4). Solve -3*j = -4*h + k, j - 10 = 6*j + 2*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1088) + sqrt(1088))*6*3)**2*3*-5*-6.\nAnswer: -8398080*sqrt(17) + 1142401320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) + 1*sqrt(190)))\/(-1*sqrt(10)*2).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -284.3858439 to 1 dp.\nAnswer: -284.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2474502, 4949002, 7423502, 9898002, 12372502?\n\"Answer: 2474500*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -9. Suppose 3*w + 4 = -o, -4*o = o + 3*w + t. Sort -5, o, -2 in descending order.\nAnswer: o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11 - 27 = 0. Let j(r) be the second derivative of -r**3\/6 + 5*r**2\/2 - 2*r. Determine j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35009 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*d + 24, -5*d + a - 67 = 4*a. Let y = -3 - d. What is the remainder when 21 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/863871 and -40\/1057.\nAnswer: 6047097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + (107 - (45 - -35))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103.9479 - 104.48. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904721 - 904717 - 4*q + 5*q.\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 722, 816, 910, 1004, 1098?\n\"Answer: 94*t + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (559*d**2 - 560*d**2 + 0 + 2 - 527*d)*(6 + d - 6).\nAnswer: -d**3 - 527*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2875\/230*3\/(6\/4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -332609 (base 14) to base 11\nAnswer: -a85910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1242992478 or -1242992479?\nAnswer: -1242992478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5371 - -5378. Suppose -19 = -h + 20. What is the remainder when h is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20840429 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: Is 10 a factor of 53179132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -1088548*u**5 - 7275932*u**4 - 4124008*u**3 + 2063088*u**2 - 288*u = 0?\nAnswer: -6, -1, 0, 2\/14323, 6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b**(-18)\/b)\/b*b)\/b))\/b*b)\/(b\/(b**(2\/5)\/b*b))*(b**(-2\/17))**14 assuming b is positive.\nAnswer: b**(1509\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/68346 and -79\/954?\nAnswer: 3622338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1. Let d(r) = 6*r + 3. Let j(f) = -d(f) - 4*n(f). What is the derivative of j(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrrarrrrrrarrrra.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 2)\/(9\/(-15))*-1. What is the smallest common multiple of 24*s\/(-1 - -11) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.41 - 2.41. Which is the nearest to 1? (a) -4 (b) h (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i - 283. Let y be b(0). Let g = 433 + y. What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1761986, -3523667, -5285348?\n\"Answer: -1761681*o - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-54) - 241\/(-9). Let z = g + 6. What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84316 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 2. Let k = -57953 + 58162. What is the highest common divisor of k and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.5. Let f = -24 - -23.3. Let z = d - f. Which is the second smallest value? (a) z (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*o**6 + 2*o**5 + o**2 + 8 wrt o.\nAnswer: -7080*o**3 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*t - 563*t + 663*t + 658*t - 1411*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 643 + -631. What is the third smallest value in -2, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 5*u**2 - 8*u + 7. Let j be z(-6). What is the second derivative of j*m**5 + 21*m + 36*m**3 - 36*m**3 wrt m?\nAnswer: 380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g - 8. Let f(t) be the second derivative of t**4\/6 - t**3 - 4*t**2 + 2*t. Let h(z) = -z**2 + 1. Let x(i) = g*h(i) - f(i). Factor x(y).\nAnswer: 2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -112. Let r = b - -45. Let x = 41.2 - r. What is the nearest to x in 3, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4.16.\nAnswer: -8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -8*w**3\/9 + 23*w**2\/3 + 18*w + 2393. Factor o(z).\nAnswer: -2*(z + 1)*(4*z - 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14733 - 5?\nAnswer: -14738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1282, 5064, 11348, 20134?\nAnswer: 31422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*-0.0122.\nAnswer: 1.1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 36 (c) 145457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 738 + -710. What is the nearest to -2\/9 in 1\/4, -3, -5, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(-4 + -3 + sqrt(2) + 5 + sqrt(24)\/(5*sqrt(48))))*-6.\nAnswer: -18 + 99*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - (sqrt(384)*2 - sqrt(384))))\/((sqrt(21)*2)\/sqrt(7) + sqrt(3) - sqrt(3)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l + 2*w, -l = 2*l - 2*w + 10. Suppose 7*d + 8043 - 24374 = l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23491, -47019, -70547, -94075?\nAnswer: -117603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10389 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(931) + sqrt(931) + sqrt(190)\/(2*sqrt(10)))**2.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19177 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*w + 27*w - 215*w**2 - 19*w)*(w**2 - 3*w**2 + 3*w**2) as u*w**4 + v + d*w + k*w**3 + x*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*n + 8784 = 87 + 432 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (5*(5 + sqrt(272)*1) + 4)*1)**2.\nAnswer: 1160*sqrt(17) + 7637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006, -16106, -54414, -129038, -252086, -435666, -691886?\nAnswer: -1032854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340.105km in nanometers?\nAnswer: 4340105000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*(1792\/18)\/(-28)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/18 + -2 + 4)*3. Let p be 2\/z*(-4 + 12). Calculate the common denominator of -49\/22 and 903\/(-270) - p\/10.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127527000 rounded to the nearest one million?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c - 544*c**2 + 273*c**2 + 274*c**2)*(c**3 + 2*c**3 - 2*c**3).\nAnswer: 3*c**5 + 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2. Let s(a) = -263*a**2 - 105. Determine s(n(q)).\nAnswer: -1052*q**4 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 5)\/(2\/(-10)). Let m = -7 + h. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4.35 (b) 0 (c) 0.04 (d) -0.2 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1725 + 370*a + 89\/4*a**2 + 1\/4*a**3.\nAnswer: (a + 10)**2*(a + 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*d + 16, -5*i + 9 = -2*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) 246\/5 (d) -3 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -41 in descending order.\nAnswer: 2, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2527945 - -745741016\/295. Let k = 9\/59 + d. Let f = 588\/65 + k. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36967 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17709193 - 7429193. Round j to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 630709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.5 - -10.5. Which is the closest to -1\/2? (a) 4 (b) 14 (c) w (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 5*q = 5*c - 2, 2*q = -4*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6282 - -0.0422. Let r = a + 0.086. What is the nearest to 0.1 in 1, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/9956061 and 73\/14380977?\nAnswer: 129428793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26010788044135 minus 0.21?\nAnswer: -26010788044135.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*c**2*f**2 - 6*c**2 - c*f - 148*c - f**2 with respect to f.\nAnswer: 40*c**2*f - c - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28.3 (b) 4.5 (c) 21 (d) -431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833127.7 milligrams to micrograms.\nAnswer: 833127700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5481.471 nanometers to kilometers.\nAnswer: 0.000000005481471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 29\/3, 3\/16, 26, 0.2, 1\/11 in decreasing order.\nAnswer: 26, 29\/3, 0.2, 3\/16, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 15. Let s(n) be the third derivative of 0 + 0*n - 21*n**2 + 1\/12*n**4 + 0*n**3. Determine s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (260\/(-1950))\/(2\/18)*(-10)\/(-3). Let p(w) = -5*w**2 + 18*w - 1. Let r(v) = -6*v**2 + 18*v - 1. Determine m*r(q) + 5*p(q).\nAnswer: -q**2 + 18*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37449)\/236520 + ((-1)\/(-12))\/((-10)\/(-15))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -361 - -2523\/7. Let f = 15\/14 + v. Determine i, given that -f*i**2 + 1\/4*i + 0 + 1\/4*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/2 in -11\/3, 2\/21, -24377, -0.2, -0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifiiiifiiiiiffiiii. What is prob of picking 2 i and 2 f?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 8:01 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - bf?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2257338508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**6\/90 - g**5\/30 + g**4\/3 - g**3\/3 - 8. Let o(w) be the third derivative of m(w). Solve o(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*o = 5 + 77, -2*v = -211*o - 372*o + 438*o - 5361 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -2\/99, 0.42, -34?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 5*g + 31, 5*g = -3*q + 1 + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.2. Let x = 0.9 + -1.2. Let j = o - x. Sort 2\/19, -4, j in increasing order.\nAnswer: -4, 2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.6055 litres in millilitres?\nAnswer: 887605.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173913)\/(-3036) + -57 + (-27)\/99?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/4*1 + (-847)\/119\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/2304 and 121\/3072?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195651 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3664 - 3669. What is the second biggest value in 189, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 4*p**2 - 4*p - 1. Let w be z(3). Let i(n) = n**2 + n - 10. Let j be i(w). Solve j*d - 6*d + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q = -97*q - 38 + 77 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)*r*r*r**1)**(-26)*(r*r\/r**(-1)*r*r)**19*r**2*r*(r*r\/r**1*r)\/r assuming r is positive.\nAnswer: r**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y - 52 = 85 + 13. Let k(h) be the third derivative of -1\/3*h**y + 17*h**2 + 1\/180*h**5 + 5\/72*h**4 + 0 + 0*h. Suppose k(s) = 0. What is s?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 2. Let y be c(-2). Suppose 4*x + 3*o = -y*x + 148, 2*o = 4*x - 148. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twv when three letters picked without replacement from {j: 1, w: 1, l: 1, t: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*14\/(-1). Let o(d) = 3*d - 20. Let w be o(8). Suppose -2*j + j - 2*v = -187, 0 = 4*j - w*v - 760. What is the greatest common factor of j and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/4 + (-2 - -1041). Let b(z) = z**3 + 9*z**2 - 6*z - 8. Let i be b(-8). Let n = x + i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/3*(0 - 3). Suppose -3*t = -2*t - r. Suppose -2*q + t = 8. What is the lowest common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*g + 1 + 0 = 0, 3*g = 4*m - 31. Suppose m*n + n = 10. Is 18 a factor of (462\/(-7))\/(n\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -82*q + 414. Which is the closest to -1? (a) 19 (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(3) + sqrt(675))*-3)**2 - (1*sqrt(3888))\/(-3*sqrt(36)).\nAnswer: 1262*sqrt(3) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 169*o**7\/210 - 335*o**3\/2 - 354*o**2. Differentiate c(m) wrt m.\nAnswer: 676*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 35*f**2 - 2520*f - 4860 = 0 for f.\nAnswer: -18, -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1239 - 860. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.437972s?\nAnswer: 0.00123277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (16 + (-17 - (8 + (-23 - -10)))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031212023 (base 4) to base 9.\nAnswer: 1523152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1588725 - 4480204333\/2820. What is the common denominator of j and -61\/132?\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-10538\nAnswer: 21076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -502 + 501.9326. What is n rounded to 3 dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 - -327. Let n be (-2)\/t + (-1 + 8 - -11). Solve n = -3*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a factor of 50007793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 4:10 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 - 90) + (11 - 0) - (-1 - 19).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41105413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 0*g - 4*g - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**2. Let f(p) = -540*p**2. Determine f(y(o)).\nAnswer: -26460*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -3*d + 512, 3*d - 548 = -5*l. Is d a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 + 4*l - 10. Let i be 3\/(-2) + 2\/4. Let j(p) = -p**2 - 1. Let m(g) = i*s(g) + 6*j(g). Let f = 67 - 64. Give m(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41571 plus 1?\nAnswer: 1.41571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1015 and 3770.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 8*j. Let v = 59.5 + -60. Which is the closest to j? (a) 2\/13 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/12 - (-1)\/4. Suppose 0 = 16*d - 4171 + 4251. Sort -1\/3, g, d, 1\/6.\nAnswer: d, -1\/3, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + u - 11 = 0, -4494*u = 2*k - 4497*u + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 55196464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d - 113. Determine z(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3246*z**5 - 28 - 3245*z**5 + 6 + 9*z**2 + 2*z**5 - 3*z**4 + 3*z**4 + (5*z**4 - z**4 - z**4)*(-3*z + 4 - 4).\nAnswer: -6*z**5 + 9*z**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 118 = b, 5*r + 2*b - 77 = 519. What is the remainder when r is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 6*b = 0. Suppose -4*o - q + 16 = 0, b = -2*o - 3*q + q + 8. Solve 3 + 9 = o*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11991*j + 11996*j - 35972*j + 11987*j + 86.\nAnswer: 2*j + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*d - 17. Suppose 69*q = 75*q - 120. Solve 0 = 4*c + 2*y - q, -3*y = -5*c + 15 + d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(6*-5))\/((-6)\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 2.8. Which is the second smallest value? (a) s (b) 2\/27 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9570\/(-406))\/(-55)*3\/(12\/(-28)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34337\/520 - 529\/8. Let m = 337\/130 + i. Sort 1, -0.1, m in ascending order.\nAnswer: -0.1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491686?\nAnswer: 2, 13, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*36\/112*(-1)\/(-3).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 - 4*n + 2. Let q be a(2). Let o(k) = -k**2 + 9*k + 1. Let y(h) = -3*h**2 + 27*h + 2. Let l(b) = q*y(b) - 17*o(b). What is l(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1468 + -1471. Suppose -s = -6 - 0. Suppose -3*k - 15 = -s*k. Sort 1, a, 3, k.\nAnswer: a, 1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 478, 1918, 4378, 7906, 12550, 18358, 25378?\n\"Answer: 8*s**3 + 462*s**2 - 2*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n, 0 = -2*p + 3*p - n - 11. Suppose 5*f - 3*l = 11, -4*f + 31 = -401*l + 406*l. What is the smallest common multiple of f and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393613 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -614\/1341 - -2\/149. Let m be 4\/2 - (-9 - -1). Let u be (-2)\/5 - 6\/m. Do u and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*((-8 - -2) + 7). Suppose -2500 = -4*y + 4*o, z*y + o = 5*y + 3125. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4046317 (base 9) in base 14?\nAnswer: -401d3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22\/1835 (b) -3.3 (c) -2\/15 (d) 0.07 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 4*m**2 - 4*m - 3. Give n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1206 + -1205.9. Let i = 0.3 - 0.2. Let r = 2.9 + -1.8. Which is the closest to n? (a) i (b) 2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-494)\/(-65))\/(-19)*(-1)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 6\/(-10)) + 13083\/(-78155). Let k = t - 136442\/301455. Let o = -2\/10395 + k. Which is the closest to 1? (a) 0.4 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5 + 3724\/3*s**2 - 1466\/3*s**3 - 361*s + 124\/3*s**4 + 0 = 0.\nAnswer: 0, 1\/3, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.283 + -5.717. Let v = 0.6 - 6.2. Let x = v - m. Which is the third biggest value? (a) 2\/11 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*a - 4536 = 246*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -37*w + 15. Let o be x(-7). Suppose 0 = 88*a - 90*a + 5*k + 279, a - 5*k = 127. Let y = o - a. What are the prime factors of y?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - -1) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 4*s**2)*(-8*s - 41 + 41)*(-6 + 8 - 7) as o*s**2 + b*s**3 + m + h*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-18)*(2 - (558\/(-168) + 105\/21))?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2540167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14833*x = 14766*x + 670 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12 + 102\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 36*m - 94. Let a(u) = -32*u - 164. Let x be a(-6). What is the smallest common multiple of 26 and y(x)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69315, -277290, -623927, -1109226?\n\"Answer: -69331*g**2 + 18*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/10 + (-7)\/(-35). Suppose -r + 3 = -2*w. Suppose 0 = 5*f + 12 - 2. Put f, -3, w in descending order.\nAnswer: w, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b + 21 - 21 + 5*b + 8*b + b + (-2*b + 3*b + b)*(-1 - 3 + 2) to s + g*b and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/((392\/140)\/(-14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.70184615506724 - -14258024.57184613506724. Let j = -14258016 + w. Let t = j + 0.13. What is t rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 5*m**4 + 3*m**2 - 22*m**4 + 2*m**2 in the form i + o*m**3 + w*m + t*m**2 + h*m**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 384*o**2\/17 - 250*o\/17 - 4\/17 = 0.\nAnswer: -1\/64, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.94486 + 0.428094?\nAnswer: 11.372954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - 3.6. Let r = -23 - -23.9. Let n = r + 0.1. Put n, 3\/2, a in descending order.\nAnswer: 3\/2, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372313.\nAnswer: 372313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*((-972)\/(-99))\/18.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -29 + 46 - 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.91 - 0.09. Let i = 116 + h. Let w = -47.9969 + i. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -1)\/((-8)\/(-4)). Suppose -n - 2*n = 5*f - 43, z*n - 50 = -3*f. Suppose 0 = 2*m - 4*l - 1 - n, 0 = -4*m - l - 12. Which is bigger: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - p + 94 + 1019 = -681, -658*f + 659*f = 5*p - 69 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {n: 6, i: 4, a: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1583\nAnswer: 158.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let b(p) = 5*p - 6025. Determine q(b(u)).\nAnswer: -5*u + 6025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (2593 - 2591) - (1 + 14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 17*k**6\/120 + k**5\/60 - k**4\/24 + k**3\/6 - k**2. What are the prime factors of y(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, a: 8}. Give prob of sequence oaoa.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 17. Let k be (-40)\/(-78) - (-8)\/52. Which is the closest to 0.1? (a) -0.3 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -995, -1893, -3097, -4571?\nAnswer: -6279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 60*u**2 - 51*u - 620. Determine d(61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, 1 l, and 1 z when four letters picked without replacement from zktzztzuzztuztul?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -8\/5*f**5 - 8*f**4 + 0*f**3 + 0*f**2 + 2\/3*f**6 + 0*f - 45. Factor w(x).\nAnswer: 4*x**3*(x - 4)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48542020661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -45, -82, -131, -192, -265?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**2 + 51*h**2 + 15*h**2 + (3*h - 4*h - h)*(2*h + 4*h - 3*h) + 1 - 3*h**2 - 1.\nAnswer: 68*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - 8*p. Let o = -24 - -34. Calculate the remainder when o is divided by q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 - 2*f**2 - 5. Let i(d) = -3 - 2*d**2 + 3*d**3 - 3 + d**3 + d**3. Give -6*i(v) + 7*l(v).\nAnswer: -2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-2) + -5 - (-4)\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + u. Let c be p(-1). Let v be (-1 + (-2)\/(-2))\/(3 + -2). What is the nearest to v in 3\/2, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2600 - 41603\/16. Which is the biggest value? (a) -0.1 (b) 8\/7 (c) n (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -2675, -9253, -22089, -43271, -74887, -119025, -177773?\nAnswer: -253219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 24. Suppose -8 = -2*c - 2*q, 2*q - s = c + 6*q. Solve c + 2 = -2*f + i, -4*f - 20 = 2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*z - 35 = 0. Let h(j) = 5*j**2 + j**3 - j**2 + 19 - 22 + 3*j + 2*j**2. Give h(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 13*d + 15*d - 2*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*q + 1025, 0 - 1 = -q. Let k be (5\/(-6)*4)\/((-4)\/o). Calculate the highest common factor of 34 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1573 + 1582. What is the greatest common factor of 1341 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmoooooqmqoqoolbolmm. Give prob of sequence qbm.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + (1*sqrt(325) - sqrt(325))*1 + sqrt(325)*1*3 + 5)*-4)**2.\nAnswer: -280800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 - 215.00000125. Round s to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*c - 147*c = 3870. Let j = 256 + c. Let o(k) = -2*k**2 + 3*k + 4. What is o(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3408 + 67.6608. Let d = b + -66. What is d rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 72*u**2 + 18*u**2 + 64*u**2 - 189*u - 5 + 189*u to the form z*u + n + r*u**3 + f*u**2 and give f.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1467*o**4 - 6*o**3 - 3*o - 2110. Let x(p) = -4402*p**4 + 16*p**3 + 8*p + 6331. Let a(k) = 8*h(k) + 3*x(k). What is the derivative of a(s) wrt s?\nAnswer: -5880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1)\/((-26)\/(-78)). Let y be (m\/(-15))\/((-35)\/50). Let o = 0.1 + -4.1. Sort y, o, 4 in descending order.\nAnswer: 4, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 150 = -9*d. Suppose d*k - 79 - 17 = 0. Suppose 2*b = -5*m + 5*b + 83, -3*b - 35 = -2*m. Solve 4 = 3*q + m, -4*z = -4*q - k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3419, 6832, 10243, 13652, 17059, 20464?\n\"Answer: -l**2 + 3416*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8746 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - s**2 - 2*s**2 + (-5 + 15 + 1)*(3*s**2 - 2*s**2 + 0*s**2) - 3*s**2 - 5*s**2 + 6*s**2 as j*s + b*s**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -145991510 and 0.2?\nAnswer: 145991510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425.7 - 87023726.\nAnswer: -87024151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9105, 18240, 27401, 36588?\nAnswer: 45801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 136 = -6*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 939*o**3 - 4*o**2 + o - 6. What are the prime factors of t(2)?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 656457*b**3 + 656490*b**3 - 2*b**2.\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*h - 8397*h - 975*h = 952551 for h.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/3 - (-1)\/3. Let w(a) = -a**3 + 2*a**2 - a + 3. Let n be w(4). Let j = -15 - n. Calculate the greatest common divisor of j and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 160171?\nAnswer: -6406.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -5 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/13))**(-7\/3)\/(s**19\/s**(2\/19)) assuming s is positive.\nAnswer: s**(-15331\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1183*i - 2370*i - 20 = -1192*i, -3*i = -3*m + 18 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + p + 113 = 108, -295 = 54*g - 5*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892*s + 1890*s - 3782*s + s**2 + 3*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 747 - 741. Solve 5*w + 22 = r*c, w + 8 = 2*c - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104))\/sqrt(8) + sqrt(13) + 3*(1 + sqrt(13)) + sqrt(13) - ((sqrt(1053)*-1 + sqrt(13) + -3)*-3)**2.\nAnswer: -7566 - 426*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 0 + -3 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3920 = 4340*t - 4452*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38942 - -59.\nAnswer: -38883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/97031 and 49\/4851550.\nAnswer: 4851550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (162 - 162) + 1 + 10686 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 125 = 35*d. Suppose 5*s = 5*k + 350, d*s = -12*k + 7*k + 370. Let l = 13 - 4. What is the greatest common factor of l and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 365 - 362. Let p(s) be the third derivative of 0*s - 14*s**2 + 0 - 1\/6*s**4 + 0*s**5 - 13\/120*s**6 + 0*s**u. Find the second derivative of p(l) wrt l.\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240407162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108371088 to the nearest integer?\nAnswer: 10410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478 + 563.7.\nAnswer: 85.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 3*x**2\/2 + 3*x + 3. List the prime factors of p(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 717693410 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z - 340. Determine w(37).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**7\/21 - 17*l**6\/15 + 33*l**5\/10 - 3*l**4 - 1009*l**2. Factor k(p).\nAnswer: 2*p*(p - 12)*(p - 1)*(5*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z + 0 + 0*z**2 + 3\/2*z**3. Let h(f) = 2*f. Determine h(w(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 36*u**2 - 32*u + 39. Calculate w(-35).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 7. Let g be k(-5). Let f = -11 - g. What are the prime factors of f*-28*24\/(-32)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 3:13 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:44 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 44 = -35*d. Let l(b) = -b**3 - 10*b**2 + b + 10. Let i be l(-10). Suppose i = 4*s - 3 - 1. Solve -2*u - q - 1 = 0, 2*u - d = 3*q + s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q = -61*q + 24. Let a = -3 - -24. Calculate the remainder when a is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11100\/1850)\/(2*(-2)\/22).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 3*u**3 + 8*u + 2*u**3 + 7*u**2 - 8*u + 2*u**3. Let l be w(-6). Solve c = 2*i - 5, -5*i - c + 2 = -l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5 + 2*j**2 - 3*j - 2*j + 4*j**2 - 5*j**2. Let u be o(4). Which is greater: u or 3\/10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*84\/126.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -148, -163, -192, -241, -316?\n\"Answer: -v**3 - v**2 - 5*v - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**3 - 22*x**2 + 1298*x - 1298*x + 5*x**2.\nAnswer: 18*x**3 - 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -26*c - 2914. What is x(-121)?\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.323 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 8*u + 313. Let n be l(22). What is the second smallest value in n, -2, -5, 7, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 12*g**3 + 29*g**3 - 9*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 7*c**2 + 5*c - 5. Let k be x(-6). Let u be ((-30)\/(-25))\/(k\/5). Suppose -3*v = -u*v + 18. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43, 36, 33, 40, 63, 108, 181?\n\"Answer: f**3 - 4*f**2 - 2*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.18 - 28.13. Is -510 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043744 rounded to 4 decimal places?\nAnswer: 0.0437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-10))\/((-2)\/(-5)). Suppose -i - 3*x = -21, -5*x - 2 + 23 = i. Let n be ((-7)\/i)\/(8\/(-6)). Which is the smallest value? (a) n (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155097730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(343)*1 + -5)*4)**2.\nAnswer: -10080*sqrt(7) + 52992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 18*k**2 - 38*k - 18. Calculate the smallest common multiple of 4 and d(20).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1763 divide 318154506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -462698.9.\nAnswer: -462698.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-6*(-3)\/9. Let y(k) = -10*k**m + 5*k**2 + k**3 + 17*k**2 - 2*k + 13. Is y(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60077047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 247, 256, 265?\n\"Answer: 9*g + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 17}. Give prob of picking 4 m.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (108\/132)\/((-207)\/230*10\/(-12))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -95. Suppose i = 4*v - 3*v - 4*r, 0 = 2*v - r - 8. Solve -2 + 6 = -v*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, j: 3, y: 1}. Give prob of sequence jj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 6*n - z - 12722, 2*z = 4*n - 16966. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02368 - -2.97632. Put 1, 0.124, 0, -2\/21, m in decreasing order.\nAnswer: m, 1, 0.124, 0, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s**2 - 18*s**2 - 15*s**2 - 61061*s**3 - 3093*s**3.\nAnswer: -64154*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 3*z. Let r(f) be the second derivative of f - 1\/21*f**3 + 0*f**2 + 0 + 1\/42*f**z. Factor r(b).\nAnswer: 2*b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/8 + 4201*c**2. Let v(t) = 33*t**2 - t**2 + 28*t**2. Calculate w(v(f)).\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 0. What is the closest to 0 in r, -0.3, 3.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16447*q**3 + 4*q**2 - 16*q + 4. Let m(u) = -6233414*u**3 - 1518*u**2 + 6072*u - 1518. Calculate -759*d(k) - 2*m(k).\nAnswer: -16445*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 5*n - 3*n. What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*s - q, 5*s - 36 = -4*q. Let l = -181 - -1085\/6. Let t = 1.9 - 2. What is the biggest value in s, t, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g + 25*g + 23*g - 108*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 21*y**2 - 587*y - 44. What is p(28)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 8*k + 12. What is v(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107854 by -1.\nAnswer: 107854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, 1 w, and 1 o when four letters picked without replacement from wyywwollyjpj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*r**4 - 104*r**4 - 9*r**5 - r**5 + 0*r + 0*r + (0*r**5 - 4*r**5 + 6*r**5)*(1 - 5 + 3) - 364 + 360 - r**5 - 6*r**5.\nAnswer: -19*r**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4170\/3892*(-60)\/50?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 5. Let w be n(5). Let k be -2 - (-7)\/(49\/w). Sort k, -5, 0.2.\nAnswer: -5, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89489, 178973, 268457?\nAnswer: 357941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/15 - 6272*v**3\/5 + 14758014*v**2\/5 - 88472836*v\/15 = 0. What is v?\nAnswer: 0, 2, 4703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -2*c, -5 = -4*o + 5*c + 13. Let i(k) = -2 + 5*k**2 - 7*k**2 + o. Let y(j) = -19*j. Calculate i(y(v)).\nAnswer: -722*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 711*n + 1 - 2.\nAnswer: 711*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.73 - -0.7085. What is c rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377150 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*s - w, -5*s + 5 = -2*w - 0*w. Let z be s\/((-21)\/2) + (-3480)\/70. Let h = 53 + z. Solve -2*n - h = -g - 0, -2*g - 10 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 + -1110 - (-40 + -4 - 0)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -2\/933, 228 in descending order.\nAnswer: 228, 0.5, -2\/933, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5284612*w**5 - 69156*w - 10.\nAnswer: 105692240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3)*16\/(-2200)*11\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**3\/3 + 7*x**2\/2 + 4*x + 11. Determine l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -10. Suppose c = -0*z + 10*z + 30. Let l = 1972 - 21722\/11. Is z >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 78*w = -34 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610504 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = s - 2, s + 20 = -5*x. Suppose -5*k + 4*k + 21 = 0. Solve s = -5*c - 4*o + k - 3, -3*o = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*z - 459*z + 154*z.\nAnswer: -109*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + 5*f)*(275*f + 274*f + 289*f).\nAnswer: 4190*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 30*s**2 - 395*s + 28. Calculate v(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*w + 410, 5*u + w = -3*w + 1039. Calculate the highest common factor of 345 and u.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 3*o**4 - o**4 + (0 + 0 - o**3)*(1 - o - 1) - 1867*o + 1867*o + 91*o**4.\nAnswer: 90*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105662 or -105664?\nAnswer: -105664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) -0.2 (c) -4 (d) 5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -240638 - -48?\nAnswer: -240590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42.328 and -0.2.\nAnswer: 8.4656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 64*n + 650. Give u(11).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 5:53 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 divided by -456?\nAnswer: -205\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256508 times -0.5?\nAnswer: -3128254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a minute in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.2. Suppose 36 = -8*h + 76. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001813244085 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 20*a - 6. Let m be (-3 + (-8)\/6)*-3. Is n(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624037 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -v - 39, -5*z + 32*v - 54 = 35*v for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**15)\/(y\/y**(-2\/11)) assuming y is positive.\nAnswer: y**(-167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k. Let a(h) be the third derivative of -h**5\/60 + 5*h**3\/6 - 6*h**2. Let w(n) be the first derivative of a(n). Calculate -2*v(b) - 5*w(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002689871461 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.61 + 44.11. Which is the second biggest value? (a) o (b) 1\/2 (c) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let q(b) = 95*b + 8. Let j(r) = -9 - 28*r + 4 - 10*r - 25*r. Let m(u) = 8*j(u) + 5*q(u). Calculate v(m(a)).\nAnswer: 841*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + b + 31 = -p, 4*b = -4. Calculate the remainder when 28 is divided by (-3)\/((5 + -2)\/p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-54)\/(-1260)*((-84)\/27)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 125409?\nAnswer: 627045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256 - 252. Put d, -0.2, 0.2, -0.03, 1 in descending order.\nAnswer: d, 1, 0.2, -0.03, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2, 15 in ascending order.\nAnswer: -5, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 4. Let i = k + 3.9. Let a = 8 + -8.2. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*a - 36 = 0, -5911*a + 5916*a = -3*h + 68 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 425 = -2*v. Suppose 3*c - v = y, -y - y + 127 = 5*c. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2842\/3 + -947. Let k(q) be the first derivative of -1\/9*q**3 - m*q - 3 + 1\/3*q**2. Factor k(p).\nAnswer: -(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19157 - 268315\/14. Suppose 0*g + 3*g - 36 = 0. What is the common denominator of 177\/2*1\/g and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10626, -20009, -29390, -38769, -48146, -57521?\n\"Answer: o**2 - 9386*o - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*j - 10*j + 2*j + (-3*j + j + 3*j)*(1 - 2 + 2))*(-5*j**2 + j + 4*j**2 + 0*j) to z*j**2 + k*j + f + n*j**3 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -39*h. Let i(v) = -100*v**2. Give i(a(z)).\nAnswer: -152100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4495*z + 9667. Determine j(3).\nAnswer: -3818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3*w**2*x**2 - 835*v**3*w**2*x - 2*v**3*w**2 - v**3*w - 26*v**2*w wrt x?\nAnswer: 2*v**3*w**2*x - 835*v**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - s - 1. Let d(p) = -7*p**2 + p + 2. Let q(h) = -3*d(h) - 5*n(h). Give q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115\/2 >= -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22 and -0.04207?\nAnswer: 21.95793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 7. Let m(g) = 3*g + 45. Let r be m(-13). What is c(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**2 - 2. Let a(z) = 14*z + 4. What is a(b(y))?\nAnswer: -126*y**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + v + 14, 2*g + 5 = -g - 5*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6012020 rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.16*-5.753\nAnswer: 6.67348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*r**3 - 1 + 3 - 4 - 3*r**2 in the form d*r + m + p*r**3 + i*r**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 4*v**2 + 4*v + 3. Let y be p(-2). Suppose y*f - 35 + 56 = 0. Let g(d) = 2*d + 4. Give g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - 18. Calculate the remainder when f(3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182\/4*(-473100)\/(-2905) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) - ((1 + sqrt(1700))*-4)**2 - ((sqrt(1700) + -4 + 1)**2 - sqrt(1700)).\nAnswer: -28925 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 153*u**2 + 26*u - 19730. What is k(-154)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 299, 469, 639?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.5. Let o = f + -4.5. Let p = o - -4.2. Are p and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 16684*j - 34794482.\nAnswer: -2*(j - 4171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6156*u**2 + 109*u - 3260. Let s be f(24). Round s to the nearest 10000.\nAnswer: -3550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -15, 7*i - 3*i + 3*s - 23 = 0. Let v(m) = 0*m**2 - m**2 - m**i + 0*m**2. Let q(w) be the third derivative of w**5\/20 + 7*w**2. Give q(v(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2275270 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 14*y**3 + 17*y**3)*(-3*y**2 + 4*y**2 + y**2 + 214 - 214 - y**2 + (1 - 1 - 3)*(-2*y + y**2 + 2*y)).\nAnswer: -58*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -21. Suppose -s + 11 = 2*s - x, -15 = -a*s + x. Let o(z) = 3*z**3 - z. Let r be o(1). Solve s*j + r + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290366378*d**2 + 13720*d - 7121 wrt d.\nAnswer: -580732756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -17. Let s(q) = 20*q**3 - 84*q**2 + 24*q. Let w(v) = -4*v**3 + 17*v**2 - 5*v. Let d(o) = g*s(o) + 24*w(o). Determine u, given that d(u) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6037517 is divided by 11413?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 28*s - 240 = 0.\nAnswer: -5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y*y\/((y*y\/y**(2\/21))\/y)*y*y*y))*y*y)\/(y\/(y*y\/y**(-6\/11)))*y*y\/(y**(-1\/4)*y*y)*y*y\/y**(-2) assuming y is positive.\nAnswer: y**(11911\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/7, -2, -24.9, 0.2, 4\/3, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 5*y**2 + 8*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 36*d. Suppose -r - 1 + 2 = 0. What is the tens digit of s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 1:55 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110000 + 1?\nAnswer: -1111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 164*n + 84*n + 84*n in the form z + y*n and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6071342 and -113\/9080.\nAnswer: 121426840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.49152 + 17.5. What is b rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4056)\/72)\/13)\/((-2)\/(-6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320245146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 990 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = -a, -x + 4*a = -7 - 8. Suppose x*m + 1132 + 752 = 0. Let p = -448 - m. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/5 - 6584*d**2\/5 - 438326*d\/5 + 444912\/5 = 0. What is d?\nAnswer: -3224, -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 22*z**2 + 23*z - 8. Let f(c) = c**3 - 1. Let u(h) = -4*f(h) - m(h). Let r be u(-21). What is the greatest common factor of r and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32604 by -19.\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -32 (c) 9 (d) -3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14865 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 15 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1008)*-3 + 0 + sqrt(1008) - (sqrt(1008) - sqrt(1008)*3*-3))*5*-1 + 0)**2.\nAnswer: 130636800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - ((-2 - (-6 - -13)) + 9 + -4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 - 14*l**2 - 64*l + 296. Let q be h(5). Are q and 1\/1711 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*(66\/14)\/((-21)\/14)*-6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v. Let z(r) = -4*r + 3. Let f(k) = -2*k - 16. Let p be f(-11). Let c(y) = -7*y + 5. Let u(l) = p*c(l) - 10*z(l). Give u(w(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*l - 24*l + 8*l + 305 + 15 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d1 - 94?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/420)\/((-1)\/4). Let x = 14 + 22. Let j = x + -41. What is the nearest to -1 in j, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y**2 - 13. Let v be x(-5). Let u = 475 + v. Calculate the lowest common multiple of u and 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -87*j + 83*j + 52, -34*q + 128 = 5*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -854589+4\nAnswer: -854585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2, 4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -36*x + 18*x + 2*x**2 + 18*x + 9 + 10*x**4. Let o(f) = 20*f**4 + 5*f**2 + 17. Let p(z) = 5*j(z) - 2*o(z). What is the first derivative of p(y) wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -1, 1, -2\/8571, -2.9, 6, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9756 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10266 divided by 174?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/9 and 2\/11 + 664\/99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcccyyvsfyyvyyvddcvc. What is prob of sequence vy?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 22. Let u be n(17). Find the third derivative of 5*x**2 - 4*x**5 + 4*x**5 + 3*x**u wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diq when three letters picked without replacement from {o: 1, q: 4, d: 11, i: 1}.\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/(-31)*(2964\/48)\/(-13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -197590?\nAnswer: 197590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 84*q - 2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -61 + (72 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -41. Let v(k) = -k**3 + 21*k**2 - 39*k + 15. Let c(x) = -10*x**3 + 190*x**2 - 350*x + 135. Let b(u) = p*v(u) + 4*c(u). Factor b(a).\nAnswer: -5*(a - 3)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s + 1. Let l(r) = 20*r**2 - 18*r - 18. Let x(g) = 36*b(g) + 2*l(g). Let a(y) = -8*y**2. What is x(a(n))?\nAnswer: 256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (31 - 9 - 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*l + 1457*l - 4*f + 22 = 0, 13 = -l + 5*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r. Does 9 divide (r - -1)\/((-1)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871915 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: Find f, given that -3*f**3 + 725100*f**2 - 4350492*f = 0.\nAnswer: 0, 6, 241694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560722*f**4 + 5*f**2 + 18484*f - 1 wrt f?\nAnswer: 13457328*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -1210120?\nAnswer: 1202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 19, 13, 5?\n\"Answer: -t**2 - t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 2323.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 531 + -478. Differentiate -l*z**2 + 5405*z - 5405*z - 76*z**2 + 125 with respect to z.\nAnswer: -258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1605 - -1610. Solve m + a = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-57)\/(-9) - (-2)\/(-6). Let j(f) = -f**3 - 7*f**2 + 7*f + 4. Let t be j(-8). Calculate the highest common divisor of t and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6932479 * 0.2\nAnswer: -1386495.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*h + 543*h + 1269*h - 2353*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2. Let w = v + 7. Let c = 5.0000024 - w. What is c rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -5 (c) -2 (d) 10519\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.41 + 4.91. Let f = 0.37 + 0.03. Which is the nearest to -19? (a) f (b) 3\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*d + 31592 = 959*d. Find the common denominator of d and (-2)\/2 - 92\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -1643912.\nAnswer: 23\/1643912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -260083 - -84695.\nAnswer: -175388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -b28ade?\nAnswer: -b28ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/4 (c) -3\/221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) - 3930\/(-12). Let k(m) = -315*m + d*m + 3 - 3. Let x(o) = -o - 9. Let v(w) = -2. Let i(z) = 9*v(z) - 2*x(z). Determine i(k(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 125 = 5*a, 0 = 5*a + 4*p - 3*p + 105. Let j = 20 + a. Solve j*f - 2*f = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933655879 to the power of 1\/2, to the nearest integer?\nAnswer: 54163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*n - 3011510*j - 13047678*n with respect to j.\nAnswer: -n - 3011510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 15\/6)*144\/(-12). Let a be -7*u\/168 + (-332)\/(-16). Solve -n = 3*g + 11, -4*n = -4*g + n - a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 2*s**3\/3 - 7*s**2\/2 - 1618*s. Let b(n) = -42*n. What is b(u(p))?\nAnswer: -168*p + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 63?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 76*j**2 - 68*j + 531. Calculate the lowest common multiple of (0 + 4)\/((-1)\/(-2)) and f(-75).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - (-3 + 3) - (-79 + 81)) + -19.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2513 = 2*s, 831 = b + s + 3*s. Find the common denominator of 8\/(-140)*-5 - b\/70 and -73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 5*k**2 + k**2 + (-1 + 1 - 4*k)*(2*k + k - 2*k) + k**2 + k**2 - 3*k**2 in the form c + p*k + s*k**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofffffofoffffffff. What is prob of picking 4 f?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 times 2?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17393)\/(-7) + (5 - (-330)\/(-70)). Let c = f - 1026. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 833*o**4 + 5*o - 70*o**4 - o**3 - 4*o + 2*o**3 to the form y*o**3 + v*o**4 + j + s*o**2 + q*o and give v.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v - 24*v + 23*v. Let h(n) = 2*n + 3. Let a(u) = 4*u + 7. Let l(z) = 6*a(z) - 14*h(z). Let o be (3 - -1)*(-2)\/(-4). Give o*d(y) - 11*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 31, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v - 38*v + 65286 = 0. Calculate the greatest common divisor of v and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 143\/31, 0.2 in descending order.\nAnswer: 143\/31, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/317, -19, -4\/5?\nAnswer: 1\/317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4022 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 6:27 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:30 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20996 and 1086.\nAnswer: 62988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568131273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1033?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5 + 10*f**4 + 24*f**3 + 22*f**2 + 7*f = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1123 + -54?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 11*u = 3*m + 9, m - 5 = 5*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111101011?\nAnswer: -111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:20 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-four fifths of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -1 + sqrt(3) + sqrt(3) - (sqrt(3) - (sqrt(48) + 0))))**2.\nAnswer: -20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159097153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 141519 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: Simplify (t**(-2\/9)*t*t)\/t**4*(t\/((t*t**(1\/3))\/t)*t*t*t)**(-24) assuming t is positive.\nAnswer: t**(-812\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 2, g: 2, a: 1, y: 5, f: 4}. Give prob of picking 2 z and 1 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2 + (-2 + 6 - 3)*(-10 - 20 + 53))*(-j - 1 + 1).\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 1:36 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + b**4 + 0*b**4 + 2*b**5 + (-25*b**4 - 702*b + 702*b)*(-2 - 2*b + 2).\nAnswer: 52*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 16*x = -23. Let r be 3*84 - (1 - x). What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2336862 and 1452?\nAnswer: 51410964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + 1 + -3 + (11 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**3 + 3511 - 3511.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.28 - -4.72. Let u = -10.36 - -1.46. Let p = v + u. Which is the closest to p? (a) -7 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730761067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 + 5 - 280*j - 433*j + 453*j as s*j + t*j**2 + u and give s.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 158 = -4*t. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1*(-5 + (-234)\/(-48))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 2*f**2 - 2*f + 1. Let g be d(1). Suppose 2*x + 154 = g*q, q - 2*q - x = -58. Calculate the remainder when q is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 31*i - 6. Let d be y(-16). Suppose -d*a + 7*a = -117. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**6\/180 + 4*g**4\/3 + 24*g. Let k(b) be the third derivative of r(b). Let t(y) = -2*y. What is t(k(p))?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 499*p**2 + 35192*p - 672. Give l(414).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -432 - -452. Let o(l) = 10*l + 2. Calculate the smallest common multiple of v and o(2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343412 is divided by 296.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.96988 and -0.119.\nAnswer: 0.11541572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0338307l to millilitres.\nAnswer: 33.8307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -2\/393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2036 + 6024 = -310*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6119294 or -6119300?\nAnswer: -6119294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-19)\/(-76))\/(8\/2 - 2629\/660). What is the greatest common divisor of 603 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzrlzzarlsrzas. What is prob of sequence lrr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/9, 0, -17\/7, 0.67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:39 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 2\/7, 0.1, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13232863?\nAnswer: 7, 43, 43963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1508 - -1519. Which is smaller: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1954*l + 1431285 + 47*l - 1431285.\nAnswer: -1907*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - m**2 + 4*m**2 - 7*m**2. Let l(d) = 76*d - 1. Calculate u(l(n)).\nAnswer: -40432*n**2 + 1064*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {f: 3, m: 7, e: 3, r: 2, n: 5}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -76*y - 91. What is the units digit of b(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59625155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17320?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**2\/2 - 2. Let h(a) = 0*a + 7*a - 2*a - 6*a + 0*a. Determine h(t(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251184*z**3 - 3*z**2 + 19362*z + 1 wrt z.\nAnswer: -1507104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + (-183)\/(-9). Find o such that -7*o + 39*o**2 + u*o**3 + 9*o + 10*o - 7*o**2 = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1669, -1\/4, -2\/61?\nAnswer: -1669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15983629\/17361 - 17030\/643. Let w = -947 - x. Find the common denominator of -5*(-5401)\/30855 - (-2)\/(-17) and w.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/67, 4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 433757 divided by 433757?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 - 60*n**2 - 399*n - 882 = 0. What is n?\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 389712 divided by -24357\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8953*j**2 + 9*j**3 + 8953*j**2.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + (30 - (13 + -2)) + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 21*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k + 1. Let z be r(2). Suppose 12 = 5*n - 2*n. Solve n*y - 7 = -19, 5*l - 24 = z*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/((j*j\/j**1)\/j*j)))*j\/j**(-2\/11))\/((j\/j**(-3))\/j*j**5) assuming j is positive.\nAnswer: j**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c**2 - 305*c + 3780. Calculate t(13).\nAnswer: 1843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -1.4. Let t = -28115 + 28110. Sort 4, t, 5, h.\nAnswer: t, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001011110011 + -1?\nAnswer: 1110001011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 + -78. Let t = x - 51. Let p(i) = -i**3 - 7*i**2 + 7*i. List the prime factors of p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**3 + 11*t**2 + 23*t - 83. Let s(l) = -66*l**3 + 144*l**2 + 297*l - 1080. Let d(b) = 27*f(b) - 2*s(b). What is h in d(h) = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21124 - 0.08876. Let m be (-10)\/(-60) - 14\/36. What is the second biggest value in 3, m, x, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Let y be (1 + 0)\/(-4 + m). Which is bigger: y or 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -671 + 138. Let f be ((-12)\/9)\/((-2)\/(-1197)). Let v = j - f. Is 53 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110101010000 (base 2) in base 11?\nAnswer: -13963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 43546 - 38300 + 81846.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 7*k**2 - 79*k + 103 + 73*k - 57.\nAnswer: 7*k**2 - 6*k - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, 32 in descending order.\nAnswer: 32, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 + 5 = 0. Let k = 7 + r. What is the remainder when 1*-1 - (-64)\/2 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -3 (b) -1\/6 (c) -4\/13 (d) -5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s - 303 = -579 - 1818 - 414 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10100110110011000100111?\nAnswer: -10100110110011000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/2541207 and 127\/6.\nAnswer: 5082414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (1 + sqrt(500))**2*-1 + (sqrt(1620) + -4 + sqrt(1620)*-1 - sqrt(1620)) + 3)*-1 + 1.\nAnswer: 28*sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 240.5326 * 0.24\nAnswer: 57.727824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 70*w**3 - 70*w**3 + 5*w**2 - 8*w**4 + 3. Let t(a) = -3*a**4 + 2*a**2 + 1. Let q(b) = -4*c(b) + 11*t(b). Determine h so that q(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 43680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170*q + 126 = -1191*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110110011 + 110010?\nAnswer: -1010110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 2, f: 1}. What is prob of sequence fggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3850247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, e: 1, p: 5, i: 5}. What is prob of sequence pei?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 422692*l**2 - 7607484*l - 34232220.\nAnswer: -4*(l + 9)**2*(l + 105655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-21 - 4) + -1 + (-35 - -3 - -40).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 1. Let p(k) = -3*k - 1. Let t(z) = 2*g(z) - 3*p(z). Let m be t(1). Suppose -186 = -f - m*f - 5*w, -6 = 2*w. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(14\/(-70)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 2\/1239365, 274?\nAnswer: 2\/1239365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -28?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(4\/(-12)*-9). Suppose 6*y - 15 + 3 = r. Suppose w - y*i - 2 = -4*i, w - 3*i - 7 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 7958310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/32*-19*(-70)\/665?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431564\/18 - (-4)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/95 - 6\/19. Let g = 13 - 17. Put f, 2\/5, g in decreasing order.\nAnswer: 2\/5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 59*p**2 - 66*p - 751. Calculate o(-58).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1106699*l**2 - 3069543*l wrt l?\nAnswer: 2213398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/y**(-1\/4)*y)\/y)\/(y**(2\/15)\/y))**(17\/5)*(y**(2\/5)\/y**(-6))\/((y*(y**0\/y)\/y*y)\/y*y**(4\/5)) assuming y is positive.\nAnswer: y**(6179\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/(c*c**(5\/2))*(((c**(5\/7)\/c)\/c)\/c*c)\/c**(-6))\/((c\/(c**(-2)\/c)*(c*c**(-2\/9))\/c)\/(c**0)**43) assuming c is positive.\nAnswer: c**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1627 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-500)\/1250*1\/(1*6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 - 24*d**2 + 52*d**2 to the form l*d**2 + u + w*d and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**3 + 1 - 1)*(13 + 3*s - s - 3*s) to the form f*s**2 + h*s**4 + z*s + w*s**3 + a and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - 183.0312. Let a = 0.0317392 + h. Round a to 5 dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + 5*v**3 - v**3 - 7*v**3 - 56308*v + 56394*v.\nAnswer: 6*v**3 + 86*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3466 - 10400\/3. Which is the fifth biggest value? (a) s (b) 0.3 (c) 1\/2 (d) 0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Suppose -2*j + 3*r + 3 = 0, -f*j - 3*r = r - 56. What is the remainder when j is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**4 + 38*x**3 + 13*x**2 - 76*x + 51. Let y(b) = -2*b**3 - 2*b**2 - 2*b + 1. Let o(i) = -s(i) - 5*y(i). Factor o(g).\nAnswer: (g - 28)*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m - 2*m - 3*m)*(215 - 947*m - 108 - 108) to the form b*m**2 + t*m + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2769, -38 in decreasing order.\nAnswer: 2769, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 + 32*o**4 + 100*o**3 + 152*o**2 + 112*o + 32.\nAnswer: 4*(o + 1)**2*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52747 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/23 + 110\/299. Suppose -5*t - 17 = 2*y, 4*y = 2*t - t + 21. Which is the biggest value? (a) o (b) 15 (c) t (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4401856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4674527 is divided by 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 16) in base 12?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-84)*14)\/(2\/4). What is the smallest value in -3, 0.8, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990100418 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b*l**3*v - 366*b*l**3 + 75*b + 12083575*l**2*v - 723*l**2 - l wrt v.\nAnswer: 8*b*l**3 + 12083575*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let v(y) = -3*y - 4*y + 3*y. What is v(u(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20*j**3 + 50*j**2 - 10*j. Let k(t) = 9*t**2 - 5*t**2 - 3*t**2. Let w(o) = -d(o) + 50*k(o). What is the second derivative of w(m) wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -5*w + 2, -5*s - w = 22. Let j(g) be the second derivative of g**3\/6 + 4*g**2 - g. Is j(s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.1722 millilitres in litres?\nAnswer: 0.5401722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from azzzzzzzazz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1206371*r. Let q(d) = 4*d. Give q(k(p)).\nAnswer: 4825484*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 1, 0, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 50, 431*h - 435*h + 168 = 4*z. Suppose 11 = 3*f - 13. Calculate the highest common divisor of f and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -157*i - 108*i + 9*i. Let k(d) = d**2. Determine k(l(w)).\nAnswer: 65536*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -1, 7.8 in ascending order.\nAnswer: -6, -3, -1, 7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 - 6048*u\/5.\nAnswer: 3*u*(u - 2016)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -87, -165, -267, -393?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287 + 6191. What are the prime factors of f?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 4*f**3 + f**2 - 9*f**3 + f**3 - f**3 + (2*f**2 - 2*f**2 + 2*f**2)*(-2*f - f + 4*f) + f**3 - f + f + (-668*f + 668*f + 150*f**2)*(1 - 1 + f).\nAnswer: 148*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v + 16. Suppose -5*w + 41 = 121. Let p(q) = q + 3. Calculate w*p(y) + 3*i(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 87*-8.84\nAnswer: -769.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40567 is divided by 294.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018784389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofaffgafafootf. What is prob of sequence oo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 7. Let n be w(-6). Let h be (n\/2)\/((-5)\/10). Let g = -9 - h. Which is smaller: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2 - 2*w + 7. Determine t(5).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w - 4 - 1 - 4*w. Let b(x) be the first derivative of -4*x**2 + 3*x + 658. Suppose -15*l - 126 = 3*l. What is l*b(i) - 4*m(i)?\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*o - 114 - 1697 = 1345 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12963617, -25927232, -38890847?\n\"Answer: -12963615*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 14) to base 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.719 and -6.\nAnswer: 112.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -370 - -377. Let z(k) = 172*k - 57. Is z(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/12 - 99*z**2. Let t(q) = -35*q - 29*q - 7 - 9*q + 7. Calculate t(n(b)).\nAnswer: -365*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 - 7*d + 20. What is the remainder when 81 is divided by v(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 415214.\nAnswer: -83042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921743659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/4)\/(9\/(-12)). Suppose 5*v + 5*u = 0, -3*v + t*u = 4*u - 10. Which is the closest to v? (a) -1 (b) 1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = o + 8, -2*o - 5*k + 183 - 173 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05361 + -0.0536389. What is q rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let m(j) = 333*j**2 + 1. Determine m(q(g)).\nAnswer: 1332*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4601.325 - 4656.32594. Let d = -94 - -39. Let w = d - b. What is w rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 5 (c) -1.4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00193029511 rounded to 7 dps?\nAnswer: 0.0019303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*s = 42, 4*s - s = 4*z + 130. What is the common denominator of (8 - 592\/(-72))\/((-2)\/3) and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + 50\/15. Solve 3*y + 30 = k*a, -2*a - 40 = 5*y - 5*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 2 (b) -2\/383 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 3*q**3 + 2*q**3)*(0*q + 0*q + q**2) - 10*q**5 - 9*q**5 + 6*q**5 + (-q**4 + 0*q**4 - q**4)*(-2*q - 2*q + 3*q) + 1 + q**5 - 1 + 2 - 2 + 3*q**5.\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410206015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l - 78. Let x = -137 + 132. What is the units digit of h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 143877 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -488837 (base 9) to base 10\nAnswer: -295198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -1\/2, -6, -4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-70)\/(-49))\/(24\/56))\/(2\/981) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78618 and 15644982.\nAnswer: 15644982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.9 - 12.9. What is the smallest value in g, -9, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 13*u + 2. Let v(g) = -2*g**2 - 27*g + 4. Suppose -7*l + 204 = 27*l. Calculate l*v(o) - 11*t(o).\nAnswer: -o**2 - 19*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*y - 136 - 95*y**2 - 3*y - y - 8*y wrt y?\nAnswer: -190*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:50 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -3. Let q = -57049 + 57027. Put q, t, 1 in ascending order.\nAnswer: q, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - 2*b**2 - 3*b**2)*(94 - 226 + 98) in the form t + r*b + f*b**2 and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.5, 1, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.051? (a) 1\/7 (b) 18 (c) -5 (d) 2\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -586*d**2 + 6444*d + 26. Calculate w(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1 - -5) + -3. Suppose -4*k - 32 = -3*q - x*k, 4*k - 68 = -5*q. Is (-220)\/(-6) - 8\/q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -12, 77*c - 79*c - 16 = 2*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffzzzfffzfffeeezzz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 5*i + 5*l + 65, 0 = -3*i + 5*l + 164. Calculate the highest common factor of 2726 and i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-18)*1\/(-3)*-206. Suppose 234 = z*s - 25*s. Let 16\/3*a**4 + 2\/3*a**5 + 0 + 16*a**2 + 44\/3*a**s + 6*a = 0. Calculate a.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 737219 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:58 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let b(i) = 3*i**3 - 2*i**2 - 4*i + 6. Let k(t) = -4*a(t) + b(t). Let y(n) = 4*n**3 - 3*n**2 + 3. Calculate -3*k(j) + 2*y(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6.351 * -1\nAnswer: -6.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - g - 2. Let u(b) = b**2 + b. Suppose 4*j + 2*v = 2, -j + 3*v - 22 = -v. Give j*u(s) - y(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -71, -85, -99, -113?\n\"Answer: -14*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825456018 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: Simplify ((c**(-2\/21)\/c)\/(c\/(c\/((c\/(c\/c**(4\/7))*c*c)\/c*c))))**(8\/15) assuming c is positive.\nAnswer: c**(-88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 - 1.7. Sort 1\/2, j, 0 in increasing order.\nAnswer: 0, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 285*o**3 + 540*o**2 + 14580*o = 0. What is o?\nAnswer: -6, 0, 9, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 389323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 18652832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Solve 4 - 9 = p*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k - 3*k)*(k**2 + 0*k + 0*k) + 6*k**4 + 2*k**2 - 2*k**2 + (2*k**3 + k - k)*(0*k - 3*k + 0*k) + 21*k**2 + 10*k**4 - 21*k**2.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 24 (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*l - 3048 + 41 - 1259 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.1 - 9. Which is the nearest to -0.4? (a) 0 (b) r (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 2*s**5\/5 + 2*s**4\/3 - 5*s**3 - 18*s**2 - 8*s. Factor g(a).\nAnswer: 2*(a - 2)*(2*a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3 and -62\/84297?\nAnswer: 84297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*t - 14 + 1, 2 = -t - 3*m. Let h be 0 - -4 - (0 + 0 + 0). Let p be (3\/12)\/((-4)\/h). Which is the nearest to p? (a) t (b) -0.4 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 83*v - 68 = 19*v. Solve -6*t + 5*l + 19 = -9*t, 0 = t - 2*l - v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*u + 10 = 0, 2*r - 5*u + 10 = -0*u. Let f(n) be the second derivative of r + 0*n**2 - 1\/66*n**4 - 1\/33*n**3 + 2*n. Let f(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z**2 - z. Let s(b) = 3*b**3 + 6*b**2 + b. Let c(k) = -4*a(k) - s(k). What is the lowest common multiple of c(2) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide -5 + 50296*(-10)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384.103 days in minutes?\nAnswer: 7753108.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c*h**3 + 2*c*h**2 + 2*c*h + 3*c - 31*h**3 + 7*h**2 + 136*h + 38 wrt h?\nAnswer: -36*c*h + 4*c - 186*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 309. Let v = -121 + l. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 bigger than -0.533336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpjppjpjjjjjpppjpp. Give prob of picking 2 p.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1368 and 2122140.\nAnswer: 241923960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y + 16. Suppose y*d - 3 = 5. Calculate the lowest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.99, 1, -18, -7\/3.\nAnswer: -18, -7\/3, 1, 14.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -28. Let i = p - 24. Suppose -10 = i*u - 265. What is the remainder when u is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = -3*j - 48, 4*r = 3*j + 33. Suppose -6 = -y + 22. Let q = y + j. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1011110101?\nAnswer: 1011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -387?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-30))\/(444\/(-15)))\/(24\/96)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, h: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3942 and 91\/1168?\nAnswer: 31536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218916.\nAnswer: 2, 304729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/7 + 11*m + 1824\/7.\nAnswer: -(m - 96)*(m + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1325 by -1.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/((-39)\/(-5980)). Let r = -230 + v. Which is greater: -21\/26 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68748, 68754, 68764, 68778, 68796?\nAnswer: 68818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) - -1*(sqrt(187) - -2*sqrt(187)))) + (sqrt(187) - 1*(sqrt(187)*2 - sqrt(187))))\/((sqrt(1100) + sqrt(1100)*3)*-3).\nAnswer: sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 23. Let o = 98 + -20. Suppose -3*u + 3 = -a*t + o, -u + 31 = 3*t. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 385527 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3\/2*d**2 + 3\/20*d**5 - d + 0 + 3\/4*d**4 + 3\/2*d**3. Suppose h(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/156 and 91\/2?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + -0.14. Let h = n + 0.55. What is the biggest value in 2\/3, -1\/4, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -2*x - 50. Suppose 23 + 18 = 4*n + x*q, -n + q = -8. Solve 0 = -5*o - 6 - n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g - 88. What is the remainder when 128 is divided by p(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -31*f + 59. Let u be j(3). Let p = u - -195. What is the highest common factor of 35 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 174 + 38. Let r = y + -24. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 70984*q**2. Let v(w) = -92*w. Determine v(z(l)).\nAnswer: -6530528*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s + 13\/2*s**6 + 0*s**4 + 21 + 0*s**5 + 0*s**2 + 10*s**3. What is the third derivative of c(k) wrt k?\nAnswer: 2340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(4*-2))\/(2\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0013282466865 and 0.\nAnswer: -0.0013282466865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -27b7b91a?\nAnswer: -27b7b921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let g = 22.9 - 22. Let t = g + -1.2. Sort t, u, 2 in decreasing order.\nAnswer: 2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 2, j: 2, y: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 2. Suppose 5*r = 4*q - 11, -q - 2*q - 2*r + 14 = 0. Suppose -4*b - 7 = 5*c, q = c + 3. Give h(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 6*a + 10*a - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/78 and -115\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20615, 20612, 20607, 20600?\n\"Answer: -x**2 + 20616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 49592.\nAnswer: 99184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.5, -2\/13, 1, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and 1605 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4830\/53130*(-22)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 40*x - 951. Calculate s(12).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 1795986?\nAnswer: 1795986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0849302 minus -0.98?\nAnswer: 1.0649302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 53, 124, 221, 344, 493?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -3, -2*s + 81 = -l. Let z = s + 72. What are the prime factors of z?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 56*i + 0*i**3 - 73*i + 20*i - 4*i**3 + 95*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/3 (b) 1 (c) -0.0042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24609 and 1527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1 + 99\/3 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012013 (base 7) to base 14.\nAnswer: -62c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4516555796 to the nearest integer?\nAnswer: 67205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mutxwxtxuxu. What is prob of picking 1 x and 1 u?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411089?\nAnswer: 7, 58727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -8\/9 (c) 0.271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = -7. Let i be (f\/2)\/(1\/(-2)). Calculate the greatest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -462\/845 - -160\/169. Let o be 2\/8 - (-11)\/(-12). Which is the nearest to 1? (a) q (b) o (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**7\/70 - 3*f**6\/40 - f**5\/4 + 3*f**4\/8 + 2*f**3 - 14*f**2. Determine p, given that u(p) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12277?\nAnswer: 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 15*p + 249 - 9 = 0, 82 = 83*v - 85*v + 2*p for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*0.5\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 27. Let w be l(-6). Let d be 7 - (-2 + 2 + 2). Solve -w*p = -d*m + 16, 0 = -4*m + p + 3 + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22422.\nAnswer: 2, 3, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s - 26. Let h(y) = -4*y + 9. What is 8*h(w) + 3*k(w)?\nAnswer: 4*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3597 and 15587.\nAnswer: 46761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 174 - 4*g + 6*g - 2*g - 5*g in the form h*g + n and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -11456?\nAnswer: -11456.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 106 = -0*x + 2*y, -1 = -y. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2096349789?\nAnswer: 3, 23, 47, 646423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 20*d**2 - 24*d - 15*d**2.\nAnswer: -31*d**2 - 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:29 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -0.115, 0, 2\/3?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*p - 20 = -384*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 11330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5621*q**3 + 5492*q**3 - 11106*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2093 + -2096. What is the biggest value in n, 9\/5, 1\/2, -2\/9?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1\/4, -2, -1\/115?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Suppose h = r*h. Which is bigger: -1\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 3*g, 2*d - g = -4. Let k be d\/14 - (-4)\/14. Suppose 0 = -f - o - 2*o + 2, 4*o - 2 = -2*f. Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**30*(i\/(i*i*i**(-4\/7)))\/i**(-1))\/((i*i\/(i**(-1)\/i))\/(i**(1\/5)*i))**(-22) assuming i is positive.\nAnswer: i**(2176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -2\/35*h**7 - 13\/12*h**4 + 0*h**3 + 0*h**6 + 0*h**5 + 0*h + 0 + 23*h**2. What is the second derivative of s(n) wrt n?\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -2\/7, -15, 0.08, 0.4 in increasing order.\nAnswer: -15, -2\/7, 0.08, 0.4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 132 = 11*k - 14*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37315 is divided by 18473?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, z: 1, c: 1, a: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.9. Which is the nearest to w? (a) -0.06 (b) -4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + 36 = 0. Calculate the least common multiple of 8 and (6\/v)\/((-2)\/18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/8 + 1886619*w\/4 - 1186443750387\/8.\nAnswer: -3*(w - 628873)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 6. Let h be o(5). Suppose -c + h = -0*c. Let w be c\/((-6)\/3)*4. Put 4, -4, w in decreasing order.\nAnswer: 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1081 + 7587\/7. Factor -b*a + 25\/7*a**2 + 4\/7.\nAnswer: (5*a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/4759106?\nAnswer: -3\/4759106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -82, -143, -202, -259, -314?\n\"Answer: z**2 - 66*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*l - 19. Suppose -9*d + 20 = -5*d. Suppose -d*g + o - l + 282 = 0, 2*g = -5*o + 102. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -164, -332, -500, -668, -836?\n\"Answer: -168*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 0*v + 7*v - 2 + 4*v**3 - 5*v.\nAnswer: 4*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b + 23*b - 14*b + 1. Let k = 9 - 5. Let w = 6 - k. What is z(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/40 - k**5\/20 - 5*k**4\/8 - 3*k**3\/2 + 9*k**2. Factor q(n).\nAnswer: 3*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3 - (-16 - 1). Let f = 53 - l. Suppose 13*x + 280 = 48*x. Calculate the least common multiple of f and x.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*g**4 - g**4 + 337*g**4)*(0*g + g + 5*g).\nAnswer: 1758*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -9*l + 3*l. Sort 2, l, 3 in descending order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -145623202?\nAnswer: -145623211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510009 to the power of 1\/2, to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6347.\nAnswer: 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**7\/63 + a**6\/15 + a**5\/15 - 2*a. Factor f(m).\nAnswer: 2*m**3*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 13. Let p be (3 - 4) + 1 - w. Suppose r + 2*v = 25, 4*v + 66 = -p*r + 6*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/48 - 3\/16. What is the nearest to 1 in 2\/3, m, 0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0574 + -0.0572386. Round t to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -708, -2, -1, 24 in increasing order.\nAnswer: -708, -2, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 - -383. Solve 7 = -3*t + z*t + 5*l, -2*t + 4*l = 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10538387.\nAnswer: 47, 224221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27389470 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17955493 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2070 + -2020. What is the least common multiple of j and 1220?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -28 + 14 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.69121 milliseconds to days.\nAnswer: 0.000000204759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 + u**3\/2 + 3*u**2. Let h be j(-3). Let o(d) = d**3 + 5*d**2 - 6*d + 5. Determine o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/25256 and 5\/176792.\nAnswer: 176792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/((-3)\/5). Let x(r) be the second derivative of -r**3\/6 - 10*r**2 - 5*r. Let q be x(-25). What is the closest to -0.1 in -2\/3, c, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqpcx. Give prob of picking 1 c, 1 p, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*1\/2 + 15. Suppose -4*c - 2*t = 1 + 25, 0 = 3*c - t + q. Does 13 divide -1*c\/(-3) - -15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-9)\/6 - 2850\/(-4)). Round h to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2726 - -3912. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {i: 5, g: 6, q: 1, h: 3, f: 2, b: 3}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 70*r**2 + 148*r + 31. Calculate x(72).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 - 4*z. Let o be x(-5). Let a = o + 14. Solve -2*y - a = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.289 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304565 = -3*w + 3*b - 80819, 2*b + 4 = 0. Is 2\/(2\/(-8) + 18765\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i + 7*i - i**2 - 2*i - 3. Is j(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 3*q**3 + q**3)*(126*q + 17*q + 19*q + 168*q).\nAnswer: 660*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/5*g - 12\/5 + 9\/5*g**2.\nAnswer: 3*(g - 4)*(3*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2032 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5071402 is divided by 3751?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 45. What is the greatest common factor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126779*v + 126655*v - 12028 = 0 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-78)*((-15)\/((-750)\/8))\/((-2)\/(-305))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -21 (b) -4 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 176 + 92 = -29 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + -4 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110843051*l**4 - 325879*l**2 - 101*l?\nAnswer: 2660233224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkijvkkszii. Give prob of sequence skkj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -105, -180, -257, -336, -417?\n\"Answer: -v**2 - 70*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(3)) + sqrt(3) - sqrt(3))**2 + (sqrt(3) + 0)*-1.\nAnswer: -sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62697, -70632, -78557, -86466, -94353, -102212, -110037, -117822?\n\"Answer: q**3 - q**2 - 7939*q - 54758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/805)\/(2*(-1)\/21*35019\/(-2594))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -1.7. Let l = 158 + -158.5. Which is the closest to j? (a) -1 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -513, -1991, -4453, -7905, -12353?\n\"Answer: -b**3 - 486*b**2 - 13*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 31*s**2. Let u(r) = 8*r - 9*r + 3*r. Give u(a(z)).\nAnswer: 62*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304143 (base 6) in base 8?\nAnswer: 57277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/105 - 71\/105. Let z = -31\/130 + 1\/26. Which is the closest to s? (a) 5\/3 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85811 is divided by 42315.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124030 (base 5) to base 13.\nAnswer: 22c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 11) to base 7.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9 - -6025866.64.\nAnswer: 6025871.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1587 in -10\/7, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1121121023 (base 4) to base 5\nAnswer: -43204110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -166\nAnswer: 5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -53*h**2 - 4*h - 505. Let q(a) = 98*a**2 + 7*a + 1011. Let g(n) = 4*q(n) + 7*u(n). What is the first derivative of g(k) wrt k?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/43150 and -39\/261440?\nAnswer: 1128113600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*g + 91*g + g**2 - 301*g + 106*g - 80*g**3.\nAnswer: -80*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-4)\/(-4) + (-50)\/8. Suppose 0 = 4*h + 3*r - 4, 0*h + 3*h - r = -10. Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*v - 5*z, v - 4*z = 3*v - 16. Let r be (12 - 12\/4)\/1. Let k(u) = -u + 11. Let y be k(r). Solve 5*a + 11 = -y*w, 0*a = 4*w + 2*a - v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 6. Calculate the remainder when 62 is divided by w(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -2 - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i - 3. Let m be j(-2). Suppose 5*v - 2*k - 2*k = 18, 14 = 2*v - m*k. Suppose -v*r = r + 3*n - 57, 0 = r - 5*n + 5. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1.25579289.\nAnswer: 5.02317156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by -8 - ((-180)\/20 + -13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 284, 286, 288, 290, 292?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*d)*(2 - 4 + 0)*(2 - 4 - 1)*(3*d + 77 - 77).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/11100 and -11\/14060.\nAnswer: 210900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2125*s**3 + 15*s**2 - 25*s + 140. Let h be d(12). Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.94, -105 in decreasing order.\nAnswer: -0.94, -1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1076493, 2152995, 3229497?\n\"Answer: 1076502*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/((-133)\/(-76))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 108, 5, 200, -2 in ascending order.\nAnswer: -3, -2, -1, 5, 108, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84.696 + -84.785718. Let v = w - -0.789634. Let r = v - 0.7. What is r rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1756*s + 3 - 11 + 1743*s - 2 - 2 to t + r*s and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - 8*d**2 - 5*d + 4. Let j be n(3). Suppose -i + 4*i = -3. Let m(g) = -g + 1. Let x(v) = v**3 + 2*v**2 + 2*v - 2. What is i*x(b) + j*m(b)?\nAnswer: -b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4)\/d)**(3\/13)\/((d*d**5)\/(d\/(d**(-5\/2)\/d)))*(d*d**6*d*d*d**(-2\/11))**10 assuming d is positive.\nAnswer: d**(49615\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:07 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 702 + 396*v - 702 as b*v + s and give b.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127\/104 + 11\/8. Let y = 10 + -5. Let m = -1191 - -1191.2. Put m, f, 1, y in decreasing order.\nAnswer: y, 1, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 23 = -397*y + 395*y, 3*o + 17 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.18 + 11. Let c = g - -127.18. Let m = c + -130.0071. Round m to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let f(l) = 6*l + 120. Let m be f(25). Let s = m + -183. Calculate the remainder when s is divided by u(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 21*w - 43*w. Let j(h) = -7*h - 67. What is j(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -1306.08.\nAnswer: -1303.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34 = -4. Calculate the greatest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12466.5 - 12467. Which is the fourth smallest value? (a) -1 (b) q (c) 0.5 (d) 5 (e) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12394 - 12158. What is the smallest value in d, 2\/23, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 + 13*f**2 + 7*f**2 + 12*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 252 = 20*x - 44. Solve 18*a + x*a = 14*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -5)*2\/4. Suppose n = -k + 7. Find the second derivative of -5*i**4 - n*i + 2*i - i**4 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33786149*h**2*v**2 - 24185*h*v**2 + 2*h*v - 12*h - 5*v**2 wrt h?\nAnswer: -67572298*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*i - 813, -2*u = 5*i - 0*u + 816. Is 10 a factor of ((-2288)\/88)\/(i\/158 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.6165 - 495333.\nAnswer: -495349.6165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1132*j**2*y - j**2 + 35*j*y - 3*j - 2*y wrt j.\nAnswer: 2264*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 12 + 1)*(35*w - 155*w - 72*w) + w - w + w.\nAnswer: 9793*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = -i - 105 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 + 0.18. Let q = -0.03 - u. Let h = 0.15855 - q. What is h rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -308. Let k = -165 - i. What is the least common multiple of 63 and k?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**5\/20 + h**4\/12 + h**3\/6 - 2*h**2 + 94*h. Let m(g) = -5*g + 95. Let n be m(19). Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/41 or 0?\nAnswer: 9\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10485*t**2\/4 + 2484618*t + 21327.\nAnswer: 3*(15*t + 14218)*(233*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d**2 + 4*d + 1. Let s = -96 + 94. Let l be 2 + (5 - (4 + s)). Is q(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 9*x**2 - 15*x - 10. Let t be f(-7). Let d(n) = -2*n - 1. Let u(y) = 2*y + 1. Let j(r) = t*d(r) - 2*u(r). Let k be j(-3). Sort -3, k, 1.\nAnswer: k, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -23aac36b?\nAnswer: -23aac36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/1470 + u**6\/840 + u**5\/420 - u**4\/168 + 44*u**2. Factor f(l).\nAnswer: -l*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -21\/20*x**5 - 11*x + 6*x**2 + 6*x**3 + 0 - 9\/4*x**4. What is a in u(a) = 0?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*s + 2*k = 822*s - 10, 4*s - 11 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + 619 = 4*n, 4*z = -3*n + 830. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k. Let v(l) = -l**3 + 3*l**2 + 3*l. Let f(g) = -41*g + 1. Let y be f(-1). Suppose 0 = y*m - 43*m + 3. Calculate m*c(z) + v(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10972 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 636 (b) 1.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 2955670\nAnswer: 48\/1477835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 2. Let a(o) = 7*o - 4. Let n be a(m). Let c = n + -8. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 6, o: 10}. Give prob of picking 2 m and 1 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-5 - (7 + -7). Put 0, 9, b in increasing order.\nAnswer: b, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77802 and 0.204?\nAnswer: -15871.608","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/7))**(-2\/9)\/((j**(-22)*j)\/j**23) assuming j is positive.\nAnswer: j**(2764\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 = -3*w + 469. Find the third derivative of w*g**4 - 48*g**5 - 296*g**4 - 11*g**2 wrt g.\nAnswer: -2880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 3116?\nAnswer: 7\/3116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109, 183, 269, 373, 501, 659, 853, 1089?\n\"Answer: a**3 + 67*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 14*s - 18. Suppose -155*o - 402 = -88*o. Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.7? (a) 81 (b) -42 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347793 is divided by 817.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 7. Let y be n(13). Let j(k) = k + 6. Let f be j(-6). Let i = f - y. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let w(a) be the second derivative of 7*a**4\/3 + a**3\/6 + 62*a. What is c(w(m))?\nAnswer: 1568*m**4 + 112*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 376*k + 3231*k**2 - 748*k + 372*k as p*k**2 + c + f*k and give p.\nAnswer: 3231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 5*j - j)*(5 - 1 + 1)*(-263 - 449 + 286).\nAnswer: 2130*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -79 in decreasing order.\nAnswer: -1, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -601.3 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6610 from -9575.\nAnswer: -16185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7 - 3*k - 8 - k**3 + 4*k**2 + 15 - 2. Determine o(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12473428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 33, 38, 41, 42, 41?\n\"Answer: -w**2 + 10*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -4*g**2 + 0*g + 0*g**3 + 9 - 7\/4*g**4. Find the second derivative of p(w) wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let z be (-2 - t)\/(1\/(-3)). What is the third derivative of z*q**2 - 2*q**5 - 3*q**5 + q**5 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -22. Suppose 2*a + i - 111 = 0. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186851520*d**2*i**2 + d**2*i + 5130*d**2 + 2*d*i + 553*d + 6*i - 2 wrt i?\nAnswer: 373703040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 - 3)*(-5 + 2 + 2)*(i + 2*i + 0*i) - 6*i + 81*i - 27*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110*j**2 + 854*j + 744.\nAnswer: 2*(j + 1)*(55*j + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 24*q**2 - 18*q - 27. Let f(k) = 2*k**2 + 14*k + 7. Let c be f(-8). Let x be g(c). What is the greatest common divisor of x and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1443 - -5.1443. Suppose -2*m - 19 = -5*j, -2*m + 3*m + 8 = 2*j. Let f = 40 + -118\/3. What is the closest to 0.2 in m, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*w - 136. Suppose b = w + 70. Suppose -5*i = 33 - b. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-6)\/((-192)\/40) - 113705\/(-20)?\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 6. Suppose 2*x - 4 = -0*r - 3*r, -20 = -2*r + 3*x. Let o(u) = u - 1. Determine r*o(m) + v(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*k**3 + 32*k**2 - 1328*k - 7718316.\nAnswer: -126*k**2 + 64*k - 1328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 4*v + 3*v)*(3208 - 3216 + 4*v - 18*v) as p + c*v + z*v**2 and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1*46*(-16)\/(1024\/32)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*j - 117*j + 30 = 0. Let v = -8.5 - -9. Sort 4\/5, v, j, 1\/5 in decreasing order.\nAnswer: j, 4\/5, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i**2 - 4*i - 30. Let h be v(3). Let s(b) be the first derivative of 23 + 9\/2*b**2 - b**h - 6*b. Factor s(p).\nAnswer: -3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*o + 167*o = -50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 638 + -635. Let m be (-1)\/(-10)*(-30)\/12. Let v = 4.13 - 0.13. What is the closest to 1 in f, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u**2 + 27*u - 27*u + 37007 - 37007.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 643853230 - 6.98733\nAnswer: 643853223.01267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11172)\/304 - -34)\/(27\/24 - 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208399 - 2190404?\nAnswer: -2398803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17464181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 16. Let o = 24 + n. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 2 + -3)\/((-18)\/12)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 63*y**3 - 4*y**2 + 4*y**2 - 9.\nAnswer: 63*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115\/102 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/24 + 2*q**2. Let y be k(3). What is the lowest common multiple of 2 and (-2)\/y + (-32)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8982 and 14970?\nAnswer: 44910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -126802 (base 9) to base 12\nAnswer: -3880b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2173 by -5.\nAnswer: -2173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4984 and 15575?\nAnswer: 124600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186807 rounded to four dps?\nAnswer: 0.1868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0 - 2)*(-2*c - 5*c + c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13510843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9242021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 2*d**8\/105 + 136*d**7\/525 + 361*d**6\/300 + 3*d**5\/2 - 63*d**4\/20 + 9*d**3\/5 - 10*d**2 - d. Factor f(i).\nAnswer: 2*(i + 3)**3*(4*i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -3.4. Which is the smallest value? (a) -13 (b) 3 (c) -0.4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j*j)**20*j\/j**(-2\/13)*j**(1\/5) assuming j is positive.\nAnswer: j**(13088\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 369, 375, 381?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31339098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 9. Let w be n(0). Let q(r) = 2 - 5*r - 46 + w + 7. Let d be q(-6). Solve 4*h - f = 3*f + 12, -d*f + 12 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26793923 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15324, 15316, 15274, 15180, 15016?\nAnswer: 14764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 18 = -10. Calculate the common denominator of -52\/5 and ((-51)\/p)\/(21\/(-14) - -3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(25)\/sqrt(5) + sqrt(5))*-3 + 5.\nAnswer: -18*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591244.1nm to meters.\nAnswer: 0.0005912441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1*3 + (sqrt(77) - (sqrt(77) - (-1*(sqrt(77) + sqrt(77)*2) + sqrt(77)))) + sqrt(77))*3)\/((sqrt(44)*-2*-3)\/(-1*sqrt(4)*2)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5486*b**3 - 1777*b - 1 wrt b.\nAnswer: -32916*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 2*p**2 + 6*p**2 - 4*p**2 to the form y + t*p + l*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3\/d*d*d\/(d*d\/d**1*d)*d**(-2\/7)\/(d*(d\/d**(1\/3))\/d) assuming d is positive.\nAnswer: d**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 184 + 90 + 94.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 17*q = 10*q + 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1413645?\nAnswer: 1413642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (96 + -87)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30742649*u**5 + u**3 + 3603703*u**2 + 3 wrt u.\nAnswer: 1844558940*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 + 2 - (2 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 4*t + 45. Give v(13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33173 is divided by 4464.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 2, f: 1, y: 2, k: 2, m: 1}. Give prob of sequence qmy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x*x**(-4\/5)*(x*(x**(-2\/13)*x)\/x*x)\/x**(2\/13))**(1\/60) assuming x is positive.\nAnswer: x**(53\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*y + 6, -y - 3*i + i - 6 = 0. Suppose 5*k + v = -9 + 2, -y*v = 3*k. Find the common denominator of (-885)\/300 - k\/5 and 113\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6704)\/(-1676))\/((6\/(-2))\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.9916 + -0.0084. Is -1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 50. Calculate the remainder when j is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 526 + 7293?\nAnswer: 7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + 2 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -17*b + 3316. Let s(v) = 25*v - 3301. Determine -2*s(n) - 3*t(n).\nAnswer: n - 3346","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u + 76. Determine m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 28, 75, 144, 241, 372, 543, 760?\n\"Answer: j**3 + 2*j**2 + 18*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38152931*1.\nAnswer: 38152931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2514 and 66?\nAnswer: 27654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -18*v**2. Let n(u) = 390 - 390 + u**2. Give h(n(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 1. Let d(z) = -z**2 - 4*z - 4. Let k(r) = d(r) - 3*v(r). Let t(h) = -3*h**2 - 6*h - 6. Calculate 4*k(w) - t(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6\/11, -119, 2\/5.\nAnswer: -119, -1, 2\/5, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -1239.232?\nAnswer: -86.74624","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 163000 divided by -8?\nAnswer: -20375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 6, m: 6, j: 3, n: 1}. Give prob of picking 1 y and 2 j.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53511229.\nAnswer: 151, 389, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = -5*l - 9, -3*s + 5*l + 6 = 0. Let x be (-154)\/(-4) - s\/2. Suppose 5*c + 0*c - x = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382592 divided by 4.\nAnswer: -95648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1003 - -2107. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -0*s + 2*s. Which is greater: s or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -2\/5 (c) -1\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -816, -992, -1306, -1776, -2420, -3256, -4302, -5576?\n\"Answer: -3*k**3 - 51*k**2 - 2*k - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2529\/6)\/((-4)\/40). Let h = -2605 - w. Round h to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12)\/(sqrt(40)\/sqrt(10)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 21 - 117. Let m = j + -41. Suppose 9*d = m*d + 270. Calculate the highest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -r + o, 3*o - 16 - 102 = -r. Suppose r = -2*j - 2*y, -4*j + j - 157 = y. List the prime factors of (1118\/j)\/(2\/(-8)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3160.304\nAnswer: -12641.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/33456 and 21\/4.\nAnswer: 33456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 8.\nAnswer: -15, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(-x + 4*x - x)*((-5 + 0 + 3)*(-3 - 1 + 2) - 4 + 6 + 1).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-133)\/(-5) - (-4)\/10. Suppose 44*u - 30 = 34*u. Suppose u*b - f - 18 = 0. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 + 0 = 6*f. Let o = 196 - f. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42845937 to the power of 1\/2, to the nearest integer?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 + 236*w + 2760 = 0. What is w?\nAnswer: -10, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498 - 499. Is c > -2\/1179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 15570576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 + 11)*((2*l**2 + 3*l**2 - 3*l**2)*(-1 - 2 + 4) + (2*l + l + 0*l)*(4*l - 3*l + 2*l)).\nAnswer: 220*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*0\/(-6). Suppose k*u = -3*u - 42276. Let b = -225567\/16 - u. What is the common denominator of b and -97\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -527? (a) -5 (b) 3014 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19.9. Let t = 0.06 + -2.06. Is g > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/10189138 and 19\/8257.\nAnswer: 10189138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*z - 2*f, 61 - 75 = -2*z + 2*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159.062992 + -117.06306. Let m = -42 + n. Round m to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5548105 + -11?\nAnswer: 5548084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619000483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 2 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g**2 + 4*g + 4. Let k be 19\/(-5) + (-4)\/20. Let w(b) = -23*b**2 - 3*b - 4. Let s(z) = k*w(z) - 3*j(z). Is s(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/33)*((x**(-9)*x*x)\/x)\/x*x)\/(x**(2\/17)\/((x**(3\/2)\/x)\/x*x*x)) assuming x is positive.\nAnswer: x**(-7493\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3\/3 - 9*n**2\/2 + 13*n + 43. Determine o(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.52 + 63\nAnswer: 57.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 3365?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(108) - -1*sqrt(108))*-1.\nAnswer: -12*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-11))\/((-11)\/(-22))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -z + 24, 6*z - r = z + 175. Let v = z - 32. Suppose -o = -4*i - 26, 3*o - 54 = 3*i - 3. Calculate the smallest common multiple of v and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 209*g - 1778. Let k(d) = -418*d + 3560. Let p(f) = -9*h(f) - 5*k(f). What is the derivative of p(y) wrt y?\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 less than -5?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, 61, -16, 2, 76 in increasing order.\nAnswer: -16, 0, 1, 2, 4, 61, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/16275 and -8\/75.\nAnswer: 16275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*(-5 + sqrt(117)*-1)*6)**2 + 4).\nAnswer: -81796 - 17280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 3*n. Let t be (10\/120)\/((-14)\/(-1848)). Let w(q) be the first derivative of -1\/2*q**2 + t + 0*q. Give -6*w(u) + 2*x(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 2)*(-3 + 1 + 3) - 1 + 1 + 1 + (-1 + 2 - 2)*(-4 + 2 + 0) + 0 + 0 + 1 - 14 + 8 + 10)*(5 - 1 - 2)*(-2*n - n + 0*n).\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18085941 + 0.4.\nAnswer: 18085941.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/12 + 5*w**4\/12 - 5*w**3\/3 - 15*w**2. Let g(h) = 2*h**2 + 3*h - 3. What is 10*g(k) - 3*o(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 3*y**2 - 3*y**3 - 1 + y + 0*y**3. Suppose 0*z + 1 = 3*g - z, -3*g - 4*z = -11. Let u be d(g). Is u >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 836626.9nm?\nAnswer: 0.08366269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 244 (c) -116 (d) 1\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*l**2 + 73*l**2 + 53*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and -115 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 118396236953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 7.889?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**49*f\/(f\/(f*f**(-2\/13)))*f*f**8 assuming f is positive.\nAnswer: f**(1402\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 23*l + 555. Let i be p(-24). Solve 15 = 4*j + i*q, -q + 12 - 7 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwhjwj. What is prob of picking 1 w and 1 j?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 5*r**2 + r - 6. Let g(b) = 10*b**2 + 26*b + 10. Let s(y) = -3*y**2 - 8*y - 3. Let h(x) = 4*g(x) + 13*s(x). Determine -f(w) - 5*h(w).\nAnswer: -2*w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 604 + -669 + (-8 - -144)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 809, 803, 795?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:08 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 3 + sqrt(132)\/sqrt(192) + -5 + (1*sqrt(132)*5)\/(((sqrt(120) - -2*sqrt(120)) + sqrt(120))\/sqrt(10)))**2.\nAnswer: 15*sqrt(11) + 515\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(406\/(-174))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 28837900\nAnswer: -28837900.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 24*f**2 + 4*f - 84. Let r be 2 - 2*66\/4*(-24)\/36. What is y(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 43*y**2 - 42*y.\nAnswer: -y*(y - 42)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36 and -1.54.\nAnswer: 34.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + d)*(-1 + 1 + 2*d) - 2*d**2 + 5*d**2 - d**2 - d**2 + 5*d**2 - 3*d**2 + (-2*d**2 + 4*d**2 + d**2)*(-17 + 35 + 33) - 3*d**2 + d**2 + 4*d**2.\nAnswer: 154*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 414*z**2 - 2. Let m be i(-3). Suppose 19*d - m = 1216. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 17 - 5 - 17 - -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 7\/6 (b) 2\/3 (c) 2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -24\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 634.8 - 635.2. Let n = -1.1 + 1.5. Which is the nearest to f? (a) n (b) -9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 1, a: 1, z: 5}. What is prob of picking 1 p, 1 z, and 2 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8 (b) 5 (c) -2 (d) 34.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose -y = -p*y - 3. What is the remainder when 10 is divided by 8\/((y - 0) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21024.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 3. Let p(w) = 21*w + 6. Let b(o) = 5*o + 2. Let s(q) = -9*b(q) + 2*p(q). Calculate -5*j(a) - 3*s(a).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 24071.\nAnswer: 1\/24071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.595 + -0.195. Let w be 2\/7 - 34\/70. Which is the second smallest value? (a) 0.5 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, -2*u + 5 = 4*m + 17. Which is the nearest to m? (a) -1 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1714553.\nAnswer: 4\/1714553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5\/9 - 40*s**4\/9 - 16*s**3\/3 + 116*s**2\/9 + 206*s\/9 + 28\/3 = 0.\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 7*z**2 + 2*z - 12. Let j be 1\/(-2) - (-18)\/(-4). Does 7 divide l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*k - 4, -4*j + 3*k - 6 = -7*j. Let d be 18*j\/4 + -4. Solve 3 = -2*b - 5*o - d, -3*o = 5*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 3)*(1307*k**3 - 1307*k**3 + 33*k**5).\nAnswer: 132*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 1100100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**3 + 3*a - 3*a)*(6 - a + 2 + 11*a + 5) to the form b*a + o + r*a**2 + s*a**3 + g*a**4 and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p. Let h(o) = 5*o + 1. Calculate v(h(m)).\nAnswer: -100*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 6*k + k)*(-66 + 169*k + 170*k - 337*k).\nAnswer: -2*k**2 + 66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 - 2*h. Let n(m) = -1136*m**3 - 4156*m**2 + 4*m. Let l(c) = -n(c) - 2*s(c). What is the third derivative of l(j) wrt j?\nAnswer: 6804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4671634ml to litres.\nAnswer: 0.0004671634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 2, i: 1, m: 6, g: 6}. Give prob of picking 1 g and 2 j.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 78 - 22. What is the highest common factor of 75 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -17. Let r = d - -14. Calculate the highest common factor of r and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 611 and 996400.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 - 2*h. Let g(c) = 2*c - 2*c + 36*c**2 + 8*c**2 - 38*c**2. Give f(g(b)).\nAnswer: -288*b**4 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 14)*(-2)\/4. Let l(a) = 3*a + 0 + 2 - 2*a. Let h(o) = 2*o + 7. Determine q*l(d) + 2*h(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1594.\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 17*h + 487. Give t(-25).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -92, -127, -162, -197, -232?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 50, 0.1, 9, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -1.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/57, 3, 101 in ascending order.\nAnswer: 2\/57, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 7*d - 835*d**3 - 4*d + 19214*d**3.\nAnswer: 18379*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -3, 0, 2, 33, 19 in increasing order.\nAnswer: -31, -3, 0, 2, 5, 19, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -15*f + 17*f - 4*l, -f + 1 = 5*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 2)*(5 + 2*s**4 - 5).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64812 and 353030964?\nAnswer: 353030964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 1 = -5*b + 9, 3*x - 12 = 7*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/595 bigger than -89\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12955514, 12955513, 12955512, 12955511, 12955510, 12955509?\n\"Answer: -b + 12955515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -127. Which is bigger: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7824795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4*d + 13 - 41, 2*o - 2*d = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieeb when four letters picked without replacement from iiiibiiibeibiiiiebb.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -537*b - 8. What are the prime factors of a(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0*n**5 + 0*n**4 + 0 + n**2 - n + 1\/5*n**6 + 0*n**3. What is the first derivative of h(y) wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from fffffffv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -83709*w - 585957. Calculate g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b + 5*l, 5*b = -3*l - 12 + 4. Is (-1)\/b - (-70759)\/52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.129 * -2.5.\nAnswer: -0.3225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to 0.0358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/((-2)\/(-6)*-12))\/((-27)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -3 + -6 - (-1 - 3)) + -8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*u + 2*o - 74, 13*u - 11*u + 78 = 4*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108731, -217467, -326201, -434933?\nAnswer: -543663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4\/7, 2\/3001, -5 in descending order.\nAnswer: 0.5, 2\/3001, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 42. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most as big as 3975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, 4, 1282?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/(-5) + (-8)\/(-20). Suppose -b = -h*b + 20. Solve -4*v + g + 3 = 0, -2*v + b*v = 4*g + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 21, -22, 0.5.\nAnswer: -22, -1, 0.5, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1002385*d = 1002399*d - 462 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940, -5558, -13254, -24028, -37880?\nAnswer: -54810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 8\/5 (c) -50428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2151097142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by 6?\nAnswer: 79\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338 + 408.2. Let d = g + -64. What is d rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9767\/15 - 651. What is the third smallest value in -3, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*z = -0*z + 68, 5*b + 4*z = 235. Suppose -34*r = -b*r + 432. What is the highest common divisor of r and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 18*r**2 + 15\/2*r**3 - 3\/4*r**4 + 0 = 0 for r.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30\/7*o**2 - 264\/7*o + 3\/7*o**3 + 384\/7.\nAnswer: 3*(o - 4)*(o - 2)*(o + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300210 (base 4) in base 11?\nAnswer: 10627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 - 2259660*b - 45191200 = 0.\nAnswer: -451912, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 1\/10*s**5 - 5\/24*s**4 + 0 + 0*s - 3*s**2 - 1\/120*s**6 - 5\/6*s**3. Calculate b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*f**2 - 2\/3*f**3 + 12 + 6*f.\nAnswer: -2*(f - 3)*(f + 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86\/3 + -29. What is the closest to -1 in b, -2, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.155910495 rounded to five dps?\nAnswer: -0.15591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((0 - (-5 + 14)) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 734 + -729. Solve 4*n = -4*g - 16, 3*g - 4*n + u*n + 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 3171111. Let r = 1887037 - x. Round r to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2710*z + 39457. Calculate b(-15).\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405651 divided by 5879.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0 - 1\/96*h**4 + 1\/480*h**6 + 0*h + 2*h**2 + 0*h**3 - 1\/80*h**5 + 1\/280*h**7. Suppose y(z) = 0. Calculate z.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - 2.2. Which is the nearest to p? (a) 4 (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/8 + 79*p**4\/8 + 2355*p**3\/8 - 25943*p**2\/8 + 22255*p\/4 - 2625 = 0. Calculate p.\nAnswer: -30, 1, 7, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.001 - 174391083913.\nAnswer: -174391083914.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-8)*k*k)\/k**(-2\/9)*k\/(k*(k**(3\/4)*k*k)\/k*k)*k\/k**5 assuming k is positive.\nAnswer: k**(233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17641 + -8256. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143.04 - 5.66. Let x = -163 - p. Round x to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 120*k**2 + 1001*k - 973. Calculate a(111).\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498970 minus 1721240.1?\nAnswer: -3220210.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 13*z + 6. Let a be m(-13). Suppose 3*r + 2*d = 21, 3*r = a*r - 5*d. Solve -15 = -8*u + r*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 333\/(-18)*218*-1. Suppose 25*y = t + 4942. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(63) + -2*(sqrt(63) + sqrt(126)\/sqrt(2)) + sqrt(63))\/((sqrt(9) + sqrt(9) + sqrt(81))*-4).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -251, -204, -125, -14, 129, 304?\n\"Answer: 16*c**2 - c - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59661939383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24443 is divided by 62.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -148038 rounded to the nearest one thousand?\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12125 is divided by 383.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -1 (c) 1 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297 - 146. Suppose -2*s + k + 4*k = -108, -3*s + l = -2*k. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -790, -94, 1070, 2708, 4826, 7430, 10526, 14120?\nAnswer: 18218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -1036?\nAnswer: -17\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -6, -86, 0?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 9, -16, -71, -168, -319, -536?\n\"Answer: -2*m**3 + 3*m**2 - 2*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. Let x = 187.048 + -187. Let y = x - -0.952. Which is the nearest to -2\/5? (a) y (b) n (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.98 - -8.98. Let d be (1*(-2)\/(-11))\/1. What is the closest to -1 in -1\/6, d, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1212277, 1212266, 1212249, 1212226?\n\"Answer: -3*o**2 - 2*o + 1212282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457291?\nAnswer: 431, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -11 - 9 - 0 - (4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (10\/(-4))\/(((-1265)\/(-748))\/(-23)) and 326.\nAnswer: 5542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8.8. Let s = t - -0.9. Let h = s - 0.0994. Round h to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*s - 36 = -s, -2*q = -s + 36. Let n = 20 + q. Suppose 3*c = -3*m + 8*c + 201, n*c = -2*m + 134. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 845614\/25432 - 21\/4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.04 (b) -11 (c) 0.3 (d) 13 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*z - 4*v, -5*v + 2*v - 18 = -z. Suppose -5*g - 1746 = 31*w - 32*w, z*g + 5226 = 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*t**4 - 17*t - 36*t**3 - 2*t**5 + 3*t + 68*t.\nAnswer: -2*t*(t - 1)*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, e: 7, n: 2, a: 4, r: 1}. Give prob of picking 2 n and 1 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6681 and 178331479?\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*n = 4, -p = -5*p - 5*n + 2. Let u be (-159)\/1 - (p + 1). Let c = u + 295. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 15*k = 50. Suppose 32 + k = 6*z. Suppose z*b = 6*b + 2. Solve -b*j + j = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y = -26, 4*q - 5*q - 2 = 2*y. Is (-632328)\/(-144) + (-1)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1369.966 to zero dps.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*i**2 + 46 - 17*i**2 - 25*i**2 + (-4*i + 3*i + 3*i)*(4*i - 19 + 19) + 2*i - i**2 - 2*i.\nAnswer: 21*i**2 + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.67 + 0.17. What is the nearest to -2 in 2, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.365 - 0.565. Let f = -8.2 + j. Which is the second biggest value? (a) -2 (b) f (c) 287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5*(-2)\/(-8)) + -16 + 1345086\/80370\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = 0, 3*f - 4*s + 140 - 69 = -0*s + 85 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 + z**2 - 3*z + 2. Suppose -5*u + 52 = 4*f + 4, -3*u - 12 = -f. Let i be (-42)\/f*(-16)\/28. Calculate a(i).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311*d - 1614*d = -9999 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 12 - ((-1)\/(-1) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2\/7, -16, 2, -5, 102\/5, 35?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19737.7229 - -0.3.\nAnswer: -19737.4229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -97 + 156 + -113?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*u - 1 + 94*u + 1 - 319*u to j*u + p and give j.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (0 + -3)\/(-3) - -11?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 26. Put -0.3, i, -3 in descending order.\nAnswer: i, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnhnnhnnnnnnnnnn?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -77\/2. Which is the nearest to 2? (a) u (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -252, -216, -144, -24, 156, 408?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2051061806 rounded to 3 dps?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*c = 28, -h + 2*h + 4*c = 13. Let m(p) = 21*p**3 - 18*p - 18. Let f(a) = -6*a**3 + 5*a + 5. Calculate h*m(w) + 18*f(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-65 - -79) + (57690 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9880 by 4940.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -3 + 5 + -5 + -2. Solve t - z - 1 = 0, 6*t - t + 3 = r*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54137 divided by 42.\nAnswer: -54137\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3\/2)*(-23 - -29). Suppose -3*l + 5*q = -8*l, 2*q = a*l - 25. Solve 5*i - 10*i = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -8614 (b) -0.5 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107932?\nAnswer: 2, 3, 17, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let g(v) = -5*v - 6. Let r be (-22)\/(-2) - (-18)\/9. Let q(p) = 11*p + 13. Let z(d) = r*g(d) + 6*q(d). Determine w(z(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2 + 2*f + 33. Let n(m) = 21*m**2 - 3*m - 65. Let y(a) = 3*n(a) + 5*p(a). Differentiate y(w) wrt w.\nAnswer: 26*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/6, 4\/91, 68, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 + 1 - (18 + 14 + -40 - 15)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2806*r + 24 + 481*r - 63 + 18 + 19 to z + v*r and give v.\nAnswer: 3287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(3 - -2) + (-41)\/(328\/(-22560)). What is the highest common factor of 75 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -51*z + 1741 + 387 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2947*g - 2973*g = -130. Let i be 13 + 2\/4*2. Solve -d = -4*s - i, -2*d + 11 = -4*d - g*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*v + 1 - 5, -3*c = 2*v - 3. Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11618235 to the nearest integer?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64, 118, 172, 226?\n\"Answer: 54*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -524 - -539. Let v(w) be the first derivative of 0*w + 15\/4*w**4 + 0*w**2 - 13\/3*w**3 + o. What is the third derivative of v(a) wrt a?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -10, -59, -148, -289, -494?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u**2 - 9*u + 2. Let j be -7 - -1*6\/2. Let k(d) = 6*d**2 - 4*d + 1. Calculate j*t(o) + 9*k(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**3*n**3*z**3 - 3*a**3*n**3 - a**2*n**3*z - 2*a**2*n**3 - 28*n**2*z**3 wrt a?\nAnswer: 48*n**3*z**3 - 18*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**5 + 32040*t**4 - 59219325*t**3 + 25428302190*t**2 - 3575929723740*t + 109621919400840 = 0.\nAnswer: 42, 246, 2937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -57. Is 26 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*8\/(-80))\/(4\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from iiissssgsiiii.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 - 49. What is the common denominator of (-9)\/18 - 228\/(-20) and -2 + z\/(-16) - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from tymwtywtty?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -5, -44, -119, -242, -425?\n\"Answer: -2*d**3 - d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5820 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 9*v**2 + 7*v + 14. Let o be y(8). Let a(l) = 10*l - 5. Let f(m) = 9*m - 4. Give o*f(i) - 5*a(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 8*y + 16 = 0. Suppose y = -4*c + 32. Calculate the remainder when (c - -9) + 0 + -3 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**2 - v**2)*(1449*v - 529*v - 61*v).\nAnswer: 859*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6384 divided by 76.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 76*h - 14. What is t(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4.77.\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 9, 0.54, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462245088 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 2 + -3*(-4975)\/15?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 459*q + 1225. Let i be f(23). Calculate the greatest common divisor of 86 and i.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y - 1\/12*y**4 - 13\/6*y**3 + 0 - 26*y**2. Let d be a(-7). Solve 24 + d = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29552 and -2.\nAnswer: -29554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1190285124*d**3 - 4*d**2 - 88923590*d wrt d.\nAnswer: 7141710744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -517*k**2 - 5. Let v(q) = -2*q. Calculate t(v(w)).\nAnswer: -2068*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 0, 1 in decreasing order.\nAnswer: 13, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670285 divided by 39855?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from dkkkdkkk.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000677 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137904831 and 89262.\nAnswer: 4959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 83, -78.\nAnswer: -78, 63, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = -10. Suppose 0 = 12*z - 7*z + b. Does 17 divide 19 + 4 + -4 + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 50. Let b be u - (1\/3 + 27\/(-81)). Let l(p) = 2*p - 1. Let q be l(-4). Sort q, b, 3 in decreasing order.\nAnswer: 3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67284*a**2 - 2287648*a - 272.\nAnswer: 4*(a - 34)*(16821*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -b. Calculate the common denominator of -49\/10 and 5 + b + 108\/(-240).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 12*h + 31350. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12345427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2430514, 4861030, 7291546?\nAnswer: 9722062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y. Let b(q) be the second derivative of -q**5\/30 + q**2\/2 - 3*q. Let l(g) be the first derivative of b(g). Give l(a(k)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from hsnhiichh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 18.1. Let z = -812 - -811.7. Which is the fourth smallest value? (a) -1\/2 (b) f (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = -0*m. Sort m, 2, -1, 3 in ascending order.\nAnswer: -1, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = p - 2*g + 856, -g = -5*p - 4262. Let y be 4 + 33*104\/p. Suppose -2*d = -3*d. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459184 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -33*f - 3. Suppose -q - 2*q = 9. Let j be w(q). Suppose 3*i = -3*c + j, 5*c + 62 = 2*i - i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) 0.4 (b) 2 (c) 3\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 14*i**2 + i + 4. Let q be u(-14). Let c be q\/(1*2\/(-8)). What is the greatest common divisor of 40 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4*l**2 + 4*l**2 - 2*l)*(-9 - 34 - 5)*(-1 - 12 - 2) + (-1 + 1 + l)*(0*l - 2*l + 6*l).\nAnswer: 724*l**2 - 1440*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 335.4 + 71.6. Let g = i - 406. What is the closest to -2\/5 in -1\/7, 0, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Determine t, given that 2*t**4 + 0*t**4 - t**4 + 2*t**z + t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.076? (a) 1\/3 (b) -4 (c) 0.1 (d) 1\/7 (e) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.94797 centuries in millennia?\nAnswer: 1.894797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/(-30))\/7 + 318\/(-10). Is (-4)\/c*4*422*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.3. Let z = 10 + -13. Let j(a) = a**3 + 4*a**2 - 4. Let i be j(-3). What is the nearest to 0.1 in z, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 17228036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2173 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2843*g + 2850. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 2*b. Let j(o) = -6*o**2 + 924*o**b - o + 3*o**2 + 4*o**2 + 3*o. Let n be j(2). What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10*(23 + -18). Are 6 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/855 and -47\/21.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167 and 2651459.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -56) + -816 + 708?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/24 + ((-27)\/24 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*b - 62, -5*u + u = -4*b + 40. What is the highest common factor of b and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnnpnunnpjnjk. What is prob of picking 1 n and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14993 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16231\/9135 + -1\/1015. Let r = 169\/90 + v. Put -0.5, r, 1 in descending order.\nAnswer: 1, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274256931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 32*h**2 + 33*h + 4. Let n be b(-33). Suppose 0 = 3*t - 3*m - 1203, 7*t + n*m = 3*t + 1628. What are the prime factors of t?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 4) to base 16\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w**3 + 0*w**4 + 0*w**5 + 2\/525*w**7 + 0*w - 1\/280*w**8 + 1\/300*w**6 + 0 + 7*w**2. Factor m(j).\nAnswer: -2*j**3*(j - 1)*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.7 and 1712?\nAnswer: -20030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13 - 3 = -4*w, 2*w + 3*g - 12 = 0. Let i = -311 + 314. Solve w = 3*x + 5*a - 9, -4*x - 4*a + 7 = i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -442641600 to the nearest 100000.\nAnswer: -442600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*b + 16*b - 14 - 16 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4aa (base 16) to base 4.\nAnswer: -102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87966 and 24300.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29560*b**2 + 46*b + 48*b + 38*b - 172*b + 40*b)*(2*b**2 + 0*b**2 + 0*b**2).\nAnswer: 59120*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/33 + 80\/44. Is v\/9 + 238\/63 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23239\/552 - 860\/23. Calculate the common denominator of g and -53\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 25 = -9*x - 10, 3*x - 44 = -2*c. Solve -5*z - 8 = -g - 8*z, 0 = -2*g - 5*z + c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86371, -86361, -86351, -86341, -86331?\nAnswer: -86321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.102 - 71.898. Let u = m + 72.0062. Round u to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/13)*o)**(-3\/28))**42)**(7\/6) assuming o is positive.\nAnswer: o**(-315\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 36 + -15 + ((-4 - -2) + 2 - -8).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*u = 395*u + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/6)\/((-47)\/282).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995572188.\nAnswer: 2, 3, 13, 709097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**3 + 5*x**3 - 3*x**3)*(3*x - x - x) - 34*x**2 + x**4 + 24*x**2 + 23*x**2 to o*x**3 + g + c*x + v*x**2 + k*x**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhxx when four letters picked without replacement from hxhxxhh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.6488ms to minutes.\nAnswer: 0.00722748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27897465+-0.6\nAnswer: 27897464.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2 + 2 - 621\/(-138).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3 - 3)*(1 - i - 1) - 151*i**2 + 233*i**2 - 203*i**2.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 878.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0749841 rounded to four dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1216)*-1 + (sqrt(1216) + sqrt(1216) + ((sqrt(1216)*2 - sqrt(1216))**2 - sqrt(1216)) + -4 - sqrt(1216)).\nAnswer: -8*sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9844\/(-14766))\/((2\/(-2))\/(-39)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -709*d*u*v - d*u - 21*d + 13*u*v**3 - u + 331 wrt v.\nAnswer: -709*d*u + 39*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.28793, -70 in increasing order.\nAnswer: -70, -3, -0.28793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, a: 3, n: 1, w: 2}. What is prob of picking 2 t and 2 w?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 3*z**2 - 35*z + 6. Let f be j(-7). Let m be 56882\/323 - (-6)\/(-57). What is the greatest common divisor of m and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -188*x**3 - 11*x**2 - 6*x + 1. Let p(n) = 378*n**3 + 22*n**2 + 13*n - 2. Determine 13*j(h) + 6*p(h).\nAnswer: -176*h**3 - 11*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -255*z**4\/4 + 322*z**3\/3 + 308. What is the third derivative of n(o) wrt o?\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -71. Let p(g) = g**3 + 4*g**2 - 4*g + 5. Let x be p(-5). Suppose x*j = 3*j - 27. Calculate the remainder when v is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1113 by -53.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z + 1354 = -145*z - z - 21351 for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let o(l) = -l**2 + 10*l - 9. Let p be o(7). Suppose 2*x - 4*g - 2 - p = 0, g - 49 = -3*x. What is the highest common factor of x and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.27, 3, 41, 185?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184778 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114200549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from iiicddiiiiiiiddiicz?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/12 - 4*j**3\/3 + 11*j**2\/2 + 5*j. Let q be d(-9). Let r(h) = -4*h + 4*h + h**q + h**2. Let a(v) = -v**2. Give a(r(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 + 11*p**3\/4 + 6*p**2 - 9*p.\nAnswer: p*(p - 1)*(p + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 + 0*f**2)*(3*f - 5*f + f) + (-f**2 + 0*f**2 - 2*f**2)*(0 - 2*f + 0).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 0*s. Suppose 2*m - 3*m + 19 = -4*u, 0 = 4*m - u - 106. Suppose -4*i = -13*i - m. What is the closest to 0 in s, 1\/3, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18139 times 0.5?\nAnswer: -0.590695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1068, -10, -15554 in descending order.\nAnswer: -10, -1068, -15554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(72)\/sqrt(9) - sqrt(8)\/sqrt(100)) + -4.\nAnswer: -5 + 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 1101110000111100?\nAnswer: -1101110000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 17*t + 69858 = 71508 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*g + 36 = 4*x + 263*g, 0 = 3*x - 6*g - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, a: 6, m: 1}. What is prob of sequence uua?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 5, e: 12}. What is prob of sequence ziii?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 74179.\nAnswer: 815969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -90\/17576023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1159 (base 16) to base 6.\nAnswer: 32321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + v - 26, 4*m - 455 = -6*v - 491 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let f(w) = 2*w**2. Let r(p) = -5*f(p) + 4*x(p). Let y(q) be the second derivative of q**4\/12 + 5*q. Calculate r(y(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*o - 4*o. Let s(t) = 4 + 9 + 3 - 2 - o*t + t**3 + 15*t**2. Let j be s(-16). What is j rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/2025 - 104\/(-4212)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169201671095 and -0.1.\nAnswer: -169201671095.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2 - 494332*r + 988680 = 0?\nAnswer: -123585, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2\/9, -8, -5, -0.037, -9.\nAnswer: -73, -9, -8, -5, -2\/9, -0.037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9794 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/19 - 245482*p**2\/19 + 490850*p - 4662714 = 0.\nAnswer: 19, 122703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12833200 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let y(v) be the third derivative of v**5\/10 - 6*v**2. Calculate y(q(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*l - 29*l - 89*l)*(-1 + 2*l + 4 - 1).\nAnswer: -286*l**2 - 286*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11\/r*r**10 assuming r is positive.\nAnswer: r**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -820, -1622, -2392, -3136, -3860?\nAnswer: -4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66603372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*-6*4*sqrt(1216)*5*-6*3*-2)**2.\nAnswer: 22693478400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 divided by -326?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)\/(j\/j**(-4)))**27\/(j**7*(j*j**(-2\/3))\/j)**(-11) assuming j is positive.\nAnswer: j**(-1291\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m + 4. Give u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 51. Sort 0.6, j, 0 in ascending order.\nAnswer: 0, 0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -696, -973, -1250?\n\"Answer: -277*y - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(6 - 4 - 3)*(29*k + 399*k + 736*k) to l*k + v and give l.\nAnswer: 3492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2045 - -3329. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 138*k = 143*k - 39, 0 = -4*k - 4 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 8:34 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*m = -409*m + 93. Calculate the remainder when 303 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (16 + -25 - (-4 - -1)) + (36 - 4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 4*w + 95. Let v be ((-16)\/2)\/(4*3\/w). Suppose -2*a + v = -52. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 5*v**2 + 0*v**4 + 2*v**2 + (2 + 2*v - 2)*(2*v**3 - 2*v + 2*v) + 2*v**4 + v**4 - 4*v**4 in the form z*v + x*v**3 + m + a*v**4 + o*v**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264) + sqrt(3264)*-1)\/(sqrt(3)*-2*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75815860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301490 is divided by 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10026205 to the nearest integer?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2280)\/513*-9*1. Calculate the greatest common factor of 64 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1081649800?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61495000 rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116013?\nAnswer: 3, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 5*r + 6. Let j(z) = -13*z**2 - 19*z - 24. Let o(y) = 9*c(y) + 2*j(y). Let g = -77 - -72. Calculate o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*p**2 + 659*p**3 - 33*p**2 - 554*p**2.\nAnswer: 659*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -5 (c) 39 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43868, 43214, 42560, 41906, 41252, 40598?\nAnswer: 39944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-seven fifths of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792812371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 416736821, 833473645, 1250210469, 1666947293?\n\"Answer: 416736824*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/198)\/((-15)\/110)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a**2 + 3*a)*(-4 - 4 + 3)*(0 - 7 + 1).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 9*z. Suppose v = -2*v + 12, z = 5*k + 4*v - 2611. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:28 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1501 divide 27519334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*h - f + 19, -5*f = -25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 0, 0*f + 2 = 5*f + 4*r. Suppose -4*s - 102 = -4*a - 42, -5*s - 25 = 0. Suppose 15 + a = -5*i. Sort 5, f, i.\nAnswer: i, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1617 - 1140. What are the prime factors of y?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50633717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, o: 1, l: 2, i: 4, k: 1}. Give prob of picking 2 u and 1 i.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -20) + 11 - (0 - 1 - (22 + -17))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 106, 94?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 6. Solve k + 1 = -n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a**3 - 19*a**3 - 24*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 3*t + 1. Let v be h(3). Let c be (1\/(-3))\/(v\/(-4)). Let 2\/3*z**2 + c*z + 0 = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51afb (base 16) in base 9?\nAnswer: -558863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3))\/m**(-2\/9))\/((m*(m\/m**3*m)\/m)\/((m\/(m\/(m**6*m))*m)\/m))*((m**(2\/7))**(-30))**40 assuming m is positive.\nAnswer: m**(-21208\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12209 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*15\/((-765)\/(-34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(48)*-5 - (-3 + -1*sqrt(3))**2) + 3*(2 + (sqrt(48)\/sqrt(2))\/sqrt(8)).\nAnswer: 42 + 81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13852 and -12.6.\nAnswer: 1.745352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8745118.62 rounded to the nearest 1000?\nAnswer: -8745000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37173729.\nAnswer: 3, 12391243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.66 + 0.06. Let n = 669 - 664. What is the second biggest value in -1, n, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -31*z**2 - 184*z + 6. Let p(l) = -30*l**2 - 217*l + 7. What is 6*p(j) - 7*x(j)?\nAnswer: 37*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-96)*8)\/((-14)\/(-12)). Are 0 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000956905 rounded to 5 dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 20. Let b be (-3)\/6 + d\/2. Suppose j = -2*y, 0 = -3*j - 3*y + 5 - 2. Solve -j*f = b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*d - 2618 = -54*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.816464 centuries to decades.\nAnswer: 88.16464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -889 - 39749?\nAnswer: -3a416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(1\/3)\/y)\/y*y)\/(y*y**4)*(y**(-1\/4)\/y)**(-21\/4) assuming y is positive.\nAnswer: y**(91\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 602896405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c + 6. Let y be z(-2). Let w = 42 + y. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 33. Let n(j) = -8*j**2. Determine u(n(w)).\nAnswer: -32*w**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a + 45. Let u be h(9). Let v = -7 + 9. Solve v*c + 6 = -u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3 - 53*z**2\/3 - 20168*z\/3 + 13468\/3 = 0.\nAnswer: -74, 2\/3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**3 - 2*i**2 - 3*i - 1. Let h be o(-1). Let y be 119\/(-245) - 2\/h. Which is the smallest value? (a) -0.5 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n**4 + 18*n**3 - 18*n**3)*(2 + 2 - 1)*(-4 + 2 + 3 + (3 - 2 + 0)*(3 + 7 - 4)).\nAnswer: -252*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 - 4 + 0*u**3 - 2*u + 4 + 7*u**3 - u**2 - 11 as r*u**3 + w + h*u**2 + l*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r**2 + 54*r + 21. Give w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 408\/1990 + 4\/(-20). Let l be 8 + (78\/(-65))\/((-4)\/(-40)). Sort -2\/15, o, l in descending order.\nAnswer: o, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 3:45 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:13 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7310333?\nAnswer: 47, 155539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 13*u - 243 = 17 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -27. Let v = w - -9. Suppose 0 = -8*x + 407 + v. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z - 2 + 4*z - 3*z - 3 + 1 + (232 - 14*z - 232)*(2 - 4 + 3) + 3 - 3 - 2*z + (0 + 0 + 2*z)*(2 + 1 + 0).\nAnswer: -10*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1282 - -1298. Calculate the greatest common divisor of w and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -21\/2. Suppose -2*f + 4*f + 8 = -3*x, 4*x + 26 = 5*f. Let i = 192 - 195. What is the second smallest value in i, x, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/14, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 + b - 1. Suppose 11*g = 7*g + 24. Let a be t(g). Solve a*j - 18 = -2*s, -3*s + 4*j = s + 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p - p. Suppose -6 = -p*k - 3. Let q = k - -3. Put q, 2, 0 in ascending order.\nAnswer: 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 133141 + 75146. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970 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: Four letters picked without replacement from {g: 2, d: 5}. Give prob of sequence gggd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3724)\/(-7056) - (1 - 1\/4). What is the second smallest value in -0.3, 1, 22, 6\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = -3*w, -14 = -4*q - 2*w + 2. Let m(g) = -g**2 + 5*g - 3. Let n be m(2). Solve -3*z - 4 = -5*r, -r + n*z - 12 = -q*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.38064um in centimeters?\nAnswer: 0.001338064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 - 1 - u**3 + 26*u**4 + 6*u - 5*u - u**2 + 5*u**3 + u as h*u**2 + y*u**4 + f*u + i + v*u**3 and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/73899 and -25\/24?\nAnswer: 591192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -10. Which is the closest to 0.1? (a) 0 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03018 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + 34\/(-9). Let n = -37\/6 - -14\/3. Let l be ((-1)\/(-4) - (-21)\/12)\/10. Which is the nearest to 0.1? (a) n (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 + 15729213*q = 0. Calculate q.\nAnswer: 0, 5243071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0, 6, -0.4, -1\/4, -0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -846.3 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 4. Let q(y) = -1. Let n(p) = m(p) + 4*q(p). Let w be n(10). Solve -w*v - 3*v = -t - 15, -4*v + 3*t + 23 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4, u: 7, h: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1251*x**2 + x + 12. Let p be z(4). Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 23. Let r be (4\/h)\/(1 + 0). Let u(n) = -n. Let o(m) = 3*m. Give r*o(b) - 5*u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and -89\/1910?\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 156. Calculate the highest common factor of i and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -4871, -7308, -9727, -12122, -14487, -16816?\nAnswer: -19103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -114094, -228188, -342282, -456376?\n\"Answer: -114094*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 10*a**2 + 80. Let r be t(9). Which is greater: r or -616?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -0.4, -4.4 in ascending order.\nAnswer: -4.4, -4, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 c when four letters picked without replacement from {c: 2, n: 17}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + 30 = 0. Let t(l) = -4*l + 9 + d*l - l. Determine t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:22 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:36 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:47 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18199869*i - 520167669 wrt i.\nAnswer: 18199869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 7, s: 2, l: 8, v: 1}. What is prob of picking 1 g and 1 s?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/24*303\/505.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118426320 divided by 1308.\nAnswer: 90540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5811000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 5*m. Suppose u = -3*u - 2*z + 10, m = 4*z - 4. What is the greatest common factor of u and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -706, -711, -718, -727, -738, -751?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28080 and 0.507?\nAnswer: -14236.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*j = -17, -2*j + 22 = 2*f - 23 + 51 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 - 1 = 0. Let k(b) = 7*b**2 - b + 2. Is 8 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:44 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -20, 329, 4, -38 in descending order.\nAnswer: 329, 4, 0, -3, -20, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + 3 + (-3 - -3) + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 2182?\nAnswer: -2182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1 - 6\/3. Suppose 0*g + 3*h = 5*g - 3, w*g - 10 = -h. Suppose g*y + 8 = 7*y. Solve r + 22 = 5*m, -y*r - 3*r = -5*m + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 - -146.92. Let r = -884 - -6184\/7. What is the closest to -1 in z, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)*f**(3\/2)*(f**3\/f)**(2\/91) assuming f is positive.\nAnswer: f**(851\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:13 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198608.31 months to millennia.\nAnswer: 16.5506925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/24 + 4*s**3\/3 + 3*s**2. Let o be p(-6). What is the second derivative of -o*t**5 - 10*t**3 + 10*t**3 + t wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgkzkjjj. What is prob of picking 1 k and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3090\/(-280) + 11)*-21 - (-57)\/(-4).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f**2 - f - 1. Let t be x(-1). Suppose t*k = 8*k. Let p(g) = -g - g + k*g + g. Let w(v) = -2*v**2. Determine p(w(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12947, 25897, 38845, 51791, 64735?\nAnswer: 77677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 10) to base 2.\nAnswer: 1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107939 take away -1041.6478?\nAnswer: -106897.3522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 + 382. Let z = d - 178.914. What is z rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 7*m**2 + 3*m - 37. Let g be w(-8). Suppose g*d - 4415 = -3*s - s, 5*d - 7389 = s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17459, -17460, -17461, -17462, -17463, -17464?\n\"Answer: -k - 17458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - a + 5*a + 24, 2*p = -4*a - 20. Let i = -178 - -185. Sort p, 0, i.\nAnswer: p, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.7792 and -27?\nAnswer: -291.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*l - 18046, -a - 91*l = -94*l + 6022. Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + u + 2)*(-1 + 6 - 2)*(-1 - 1 + 0)*(2*u - u + u) to f + y*u**2 + m*u and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 >= 9\/27239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.4, -1, 17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5528 or -5527?\nAnswer: -5527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3\/21 + 7922*i**2\/21 + 27770*i\/21 + 3968\/7 = 0. What is i?\nAnswer: -3, -1\/2, 1984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533 (base 6) to base 9.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and 83.2.\nAnswer: 199.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from ikokmoimokmi.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 4?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + s**2 + 77*s**3 - 161*s**3 + 82*s**3 - 224*s as u*s**3 + j*s + f*s**2 + w and give j.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 + 4560*s**4 + 164512*s**3 - 13688*s**2 - 484380*s + 329000 = 0. What is s?\nAnswer: -35, -2, 1, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23592257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2782 + 4421. What is the remainder when g is divided by 808?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 18 + 15 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.22 (b) 0.08 (c) 4 (d) 0.06 (e) -0.13 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -19. Let m = -1 - v. Let s be (75\/m)\/((-1)\/(-2040)). Round s to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -148. Sort 3, 4, a in increasing order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/3 + 973664*d**2 + 355504199648*d - 8532287736064\/3 = 0.\nAnswer: -730252, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-15) + (-141)\/(-15). Let c = -5 + g. Solve 2*j - c = -0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 74*f + 467. Give x(15).\nAnswer: 1577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*p = 54, -144 = 5*q - q + 2*p. Let m = 60 + q. Calculate the least common multiple of m and 25 - 1\/(3 - 2).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/((-2)\/1*36*(-160)\/(-4608)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17302729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543946?\nAnswer: 2, 13, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjjjjjm. What is prob of picking 2 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6749 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*d*l**3 + 68240*c**3*d - c**2*d*l**3 - 47138*c**2*l**3 wrt c?\nAnswer: -6*d*l**3 + 409440*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -30, -2\/5, -14, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, -2\/5, -14, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51163866 is divided by 4897?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x + 15*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*j - 306 = 2401, -3*j = 15. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 2\/9, 498, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - (3 + -1)) - (-196 + 63 + 149)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2606954 and 0.4.\nAnswer: 2606954.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4 - 954*n**3 - 72387*n**2 - 263316*n + 823860 = 0.\nAnswer: -199, -115, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35)\/(140\/50).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1353648 - 1353646. Let y = -7\/12 - -4\/3. Factor 1\/2*b + 1\/4*b**g - y.\nAnswer: (b - 1)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 16506389.\nAnswer: 1\/16506389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 38 = 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 69. Let z = l - 6. Which is smaller: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(432) + 6*(sqrt(432) - 1*sqrt(432)) + -5)**2 + -3 + -4.\nAnswer: -96*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/1*4\/(-6). Let b be 4\/8 - (-75)\/y. Let i be -1387500*(-4 + (-16)\/b). Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265080795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441224 is divided by 1575.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -0.5, 1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 4*t - 1\/20*t**5 + 0*t**3 + 0 - 1\/4*t**4 + 15\/2*t**2. Is j(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.9 + -7.4034311\nAnswer: -19.3034311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15\/4, 201, 5\/6, -0.5, -2.2 in descending order.\nAnswer: 201, 5, 15\/4, 5\/6, -0.5, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -0.1. Let o = 0.212 - 0.712. What is the closest to 1\/3 in -2, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -6\/121 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 741140?\nAnswer: -741147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -424 (b) 0.2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -92 (c) 2\/7 (d) -24 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**2\/2 + 11*g + 4. Let l(t) = -8*t - 1. Let f be l(1). Let i be d(f). Calculate the highest common divisor of 18 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1759360, -3518604, -5277848, -7037092, -8796336?\n\"Answer: -1759244*f - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -12*y + 58. Let p be (1*-2)\/(3\/(-6)). Sort y, p, -1 in descending order.\nAnswer: y, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = -0*u - 5*u. Suppose 840 = -3*x - u. Let d = -171 - x. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38275 - -38253. Let x(f) = 5*f + 92. Calculate x(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let z(r) be the second derivative of r**4\/12 - 4*r**2 + 8*r. Calculate q(z(y)).\nAnswer: -y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13053502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 2, v: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n. Let h(u) = 9013*u - 18018*u + 9013*u. Let r(x) = 5*x**3 - 3*x - 2. Let v be r(-1). What is v*y(i) + 5*h(i)?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-195))\/((-2)\/5)*-3. Let h = 1\/26 + m. Which is the third smallest value? (a) 0.1 (b) h (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*u**5\/7 - 3855*u**4 + 51453*u**3\/7 - 21115*u**2\/7 - 3144*u\/7 = 0. Calculate u.\nAnswer: -131, -24\/209, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270010 or -272027?\nAnswer: -270010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1366 (base 7) to base 10.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - 0)\/(-16 + 17). Let h = 1032\/7 + -147. Which is the second biggest value? (a) s (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*y + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 54762?\nAnswer: -17\/54762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 7. Let c(x) = 4*x + 6. Let n(z) = 6*c(z) + 7*q(z). Determine n(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -13a2b4?\nAnswer: -13a2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2813778.\nAnswer: 2, 3, 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54236, 91480, 128724, 165968, 203212?\n\"Answer: 37244*l + 16992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = -h + 192. Suppose -y + 3*z = -2*z - 60, -h*z = 2*y - 105. What is the greatest common divisor of y and 880?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/6 + 5*l**3\/2 + 11*l**2\/2 - 371*l\/6 - 245 = 0 for l.\nAnswer: -7, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304446 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + 6082?\nAnswer: 6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4050 is divided by 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-45) + (294\/30 - -3). Solve 0 = -t*c + 5*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -234*q + 340. What is the least common multiple of 1020 and v(0)?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.409+0.6\nAnswer: -0.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 20569*p + 82255. What is i(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 5, -3\/251, 17 in increasing order.\nAnswer: -1, -3\/251, 0.4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - -2*(sqrt(66) + 3*sqrt(66))) + sqrt(66) - sqrt(66))\/(sqrt(42)\/sqrt(112)).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -k + 7 - 22, -5*r + 3*k + 40 = 0. Solve r*d - 23 = -3*i, 2*i - 5*d + 8 = -10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/18 - 10\/(-45). Solve 3*j = p - 0*j + 2, -4*j = -3*p - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*1\/2*1. Suppose j + 1 = v. Suppose 2*y + 4*m = 1 + 5, 0 = -3*y - m + v. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - i = 0, -i + 4*i = 4*j. Suppose -3*t = -2*r - 6 - 3, j = 4*t - 2*r - 12. Suppose 4*h = -t*h. Solve -2*o = -4*s - 14, h*s + 7 = 4*s + 5*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388*b**2 + 390*b**2 + 21*b - 37*b + b**4 + 245*b - 1 to z*b + t*b**4 + i*b**3 + q + p*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 15*b + 48 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*d - v - 7, -52 - 35 = d + 12*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (6 - 12)) + 2 + (-3 - -5).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*l**4 + 3*l**3 - l**2 - 559*l + 1969533?\nAnswer: -40*l**3 + 9*l**2 - 2*l - 559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - 121408?\nAnswer: -12142a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = v - 36, -20889*v = -20888*v - 4*g + 124 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:45 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-146)\/(-1095))\/((-2)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -685, -3020, -6951, -12478?\nAnswer: -19601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5 - 39972*q**4 - 119535*q**3 + 4715994*q**2 + 4795560*q = 0.\nAnswer: -13321, -12, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -190901*g**2 + 689058?\nAnswer: -381802*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36506, 36499, 36492, 36485?\nAnswer: 36478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4830, -19311, -43450, -77247, -120702, -173815, -236586?\nAnswer: -309015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n + 85. Let w(q) = -2*q + 1. Let h(c) = -d(c) + 3*w(c). Let j be h(9). Suppose -a + 1 = 0, 0 = 2*z - a + 5*a + 108. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (7 + 1 - 6)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**2 + 256 - 256 - 8*m**5 wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -671*j - 1561. Let i be h(-4). Solve -10*c - 1073 = -i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -36*z**2 - 8744*z - 8747. What is c(-1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 12 (c) -0.3 (d) 13 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 4*d - 30. Let z = d + -14. Let j be (z\/36)\/(20\/54). Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6739 greater than or equal to -6768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(70) - sqrt(70)) + 3*-3*sqrt(70))\/(2*sqrt(1210) + (sqrt(10) - sqrt(720)\/sqrt(2))).\nAnswer: -16*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5702254 + 5940563.9847. Let l = 238372 - z. Let m = -62 + l. What is m rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)*((-483)\/(-1032) - (1304\/64 + -20)).\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/12 - 2*s**3\/3 - 4*s**2 - 27*s. What is x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zgzzzgzzgggz.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let q(s) = 5868*s + 390. Let r(z) = 3912*z + 244. Let m(u) = -5*q(u) + 8*r(u). Determine c(m(k)).\nAnswer: 3912*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12781\/6 + 2105. Let q = 10 - -11. What is the common denominator of (-52)\/(-6)*q\/56 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l\/(l\/l**(-28))))\/l)*l\/l**(2\/47))\/(l**(-12)\/l**(2\/59)) assuming l is positive.\nAnswer: l**(-38846\/2773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 7124?\nAnswer: 64116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4 - 38*b**3 - 35*b**2 + 74*b = 0.\nAnswer: -37, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-7)\/(-2))*4\/80.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.19523 take away -12.9921395?\nAnswer: 15.1873695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2. Let t(k) be the second derivative of -731*k**4\/12 + 312*k - 5. Determine o(t(v)).\nAnswer: -2671805*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 13142511 and 13142510 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86399, 86405, 86407, 86399, 86375, 86329?\nAnswer: 86255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -0.4, 27, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/12 + 7*f**3\/6 - f**2\/2 + 5*f. Give k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77503, 77515, 77557, 77647, 77803, 78043, 78385, 78847?\n\"Answer: 3*b**3 - 3*b**2 + 77503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-68) - 3\/6. Suppose -2*f - 6 = 3*m - 15, -4*f = -4*m - 8. Which is the nearest to m? (a) -1\/6 (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 - 2027*g + 123747. Calculate j(71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 3. Calculate the remainder when (7\/4)\/(1\/8) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.22?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 - 102\/6)*(-28)\/(-6). Is a at most -0.022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boob. What is prob of sequence bo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1227 + 1227 + 2*o**2 + 2*o**4 + 2*o - 2*o**3 to the form w*o + i*o**2 + r + p*o**4 + b*o**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 - (2 + -3). Suppose 4 = -x*i + 2*j, 0 = -i - 2*j - j + 13. Put 5, -5, i in ascending order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -26. What is the closest to -1\/3 in -0.5, 3\/7, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 14. Suppose -11*b + 88 = -n*b. What is the lowest common multiple of b and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 32934, 0.1, 2\/9, 2, -4\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-54)\/69)*-69*42\/(-483).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244 - 68. Let w(f) = f**2 + 6*f - 5. Let x be w(-9). Calculate the greatest common divisor of p and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135363*c**2 - 2112*c - 14.\nAnswer: -270726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 314669745*d**2*l**2 + 6*d*l**2 - l**2 + 2*l - 3593922 wrt d?\nAnswer: 629339490*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3, 127, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3774*n - 899. Let g(h) = -1887*h + 453. Let o(w) = 15*g(w) + 7*y(w). Find the first derivative of o(v) wrt v.\nAnswer: -1887","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01252424 to 5 decimal places.\nAnswer: -0.01252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ccyiraioaiiiy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -222.\nAnswer: 46\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/67 - 53\/469. Is r greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4710953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/20*-6)\/((-3)\/15). Let l = -0.2 - -0.2. Which is the nearest to l? (a) -0.3 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(1\/18) - (-62260)\/(-10471)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -118. What are the prime factors of 1*106 - (5 + -3 + v)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(19\/(-152))*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/7))**18*l**(-2\/23)*l*l*l**27\/l*l assuming l is positive.\nAnswer: l**(7967\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255)*1*-4)\/sqrt(5)*-1)\/(((sqrt(60)\/sqrt(4))\/sqrt(5) + 3*sqrt(3)*1)*-2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -428, -998, -1808, -2858, -4148?\nAnswer: -5678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1 + -8.1. What is the closest to o in 0.3, -2, 0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/26 + (105 - (-164685)\/(-1560))\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 18 + p + 5*p**2 - p.\nAnswer: 5*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or 1138053?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 1074*a + 2160.\nAnswer: -3*(a - 2)*(a + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b\/b**(-6)*b)\/b*b\/b**(-1\/5)*(b*b**(1\/3))\/b**(-3))\/(b**(-6)\/((b**(-1\/2)\/b)\/b)*b**3*b*b*b*b**(2\/3)) assuming b is positive.\nAnswer: b**(341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51318.11 millennia to decades.\nAnswer: 5131811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*x = -29, 3*x + 7 = -5*l + 18. Suppose -l*i + 12 = -12. Solve 7*m = 2*t + 3*m + i, 8 = -t - 3*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2532 or -2531?\nAnswer: -2531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvlit. What is prob of sequence ji?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 7*z**2 + z. Let j be b(7). Suppose 5*c - 8*c = 0. Suppose j*h - 4*h - 291 = c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**2 - 9*x - 76. What is the hundreds digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744, -736, -716, -678, -616, -524, -396, -226?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a963 (base 15) to base 12\nAnswer: -18910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 41. Suppose 2*n = -5*v + 8, 5*n - v + 25 = -9. Let j be (-370)\/20 + n\/(-4). Let h be q(j). Solve h - 23 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let c = 1184 - 1185. Let s be n + 11\/5 + c\/5. Solve s*k = 2*t, 5*k - 3 + 9 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = 2*d - 240, 4*d - 60 = -u. Let z = 178\/3 - u. Let y = 12.6 - 13. Which is the nearest to z? (a) 5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 13*v - 13. Let j(q) = q**2 - 2*q - 14. Let t = 6 - 6. Let b be j(t). Let z be k(b). Solve -2*s + 4*s - 16 = 2*o, 2*o + z = -s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2 (c) -1\/58 (d) -2.8 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1. Let j(a) = a + 9. Determine j(u) - 5*w(u).\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.94 + 0.02.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/21*(1 + 2). Let g = -276 - -274. Let h be 203\/(-14) + 9 + (-5)\/g. Put 0, j, 3, h in decreasing order.\nAnswer: 3, j, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -4432, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14318*y**5 + 98*y**2 - 13227772*y?\nAnswer: -286360*y**3 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5232553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6 + 4 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1775 + -1595 - (-64)\/(-1).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 - 3*f**2 - 1 + (-f + 4*f - 2*f)*(-3*f - f + 2*f) as a + y*f**2 + b*f and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637673671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 15*j**2 + 15*j - 14. Let p be q(-16). Which is the nearest to -4? (a) p (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k - 2. Let o be j(3). Let t(u) = 5*u - 25. Let d(q) = -1. Let b(v) = o*d(v) - t(v). Let m(h) = -2*h. What is m(b(y))?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87.8 - -176. Let x = -88 + o. Let u(y) = 6*y - 18. Let k be u(4). What is the closest to 0 in -3, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -9) + 13 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/2350433?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*i - 9 - 26 = 0, -5*i = -5*t + 5. Suppose -t*x + 261 = -2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/560)\/((-6)\/584) - 3 and 51\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 0 + 5*o - 2 - 3. Let r(z) = z + 1. Let v(h) = 8*h - 14. Let l(t) = -3*r(t) - v(t). Let k(y) = 6*l(y) + 13*q(y). Differentiate k(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 19. Let g be i(9). Let u = -6 - -1. Sort u, g, -4.\nAnswer: u, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10558960 - 10558960 + 3*w**3 + 1449*w**2 - 2910*w = 0. Calculate w.\nAnswer: -485, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17534 = -t - 229*b + 232*b, 4*t - b - 70191 = 0. List the prime factors of t.\nAnswer: 7, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 2*x**2 - 7*x - 9. Calculate t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 16. Let s(i) = -9*i - 33. Let f(y) = 5*d(y) + 2*s(y). Let v(a) = -1. Let k(w) = -2*f(w) - 28*v(w). Let x(h) = 6 + 2*h - 6. Determine x(k(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:04 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/8 + 1150994*p - 2649574376072 = 0.\nAnswer: 4603976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*o - 151, -3*v - 1435*o = -2874*o + 1443*o - 120 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369517 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 8*w + 22. Suppose -4*x = 4*t - 20, 34*t - 32*t + 12 = 0. Give f(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 - ((5 - (-21 - -9)) + -14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 7*o - 12. Let q(f) = 4*f**2 - 3*f + 6. Let a(j) = 5*q(j) + 3*w(j). What is the smallest common multiple of -5 + -1 + 6 + 2 and a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**3 + 4*g**2 + 7. Let u(s) = 10*s**3 + 6*s**2 + 10. Suppose -9*h + 31*h + 110 = 0. Calculate h*u(x) + 7*v(x).\nAnswer: -x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a tonne in kilograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 7. Let r be g(-5). Find the common denominator of (-55)\/(-14) + r\/7 and -19\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j + 11. What are the prime factors of j*(3 + -1) + -2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -16. Let r be (-84)\/(-136) + (-2)\/4. Sort -2\/5, u, r in increasing order.\nAnswer: -2\/5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.347 to one dp.\nAnswer: -58.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158625 by -9.\nAnswer: 17625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*h = 9*d + 12, 0 = 2*d - 2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -202. Suppose -3*v - 309 = -5*b, 2*b = 4*v + v + l. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 + (40 - 2). Suppose -3*o = 9, 3*i - 5*o + o - r = 0. Let y be ((i*-1)\/(-3))\/1. Solve 8*s - 20 = y*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34149.3 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 23056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -167\/3. Let y = n - 8\/21. Let g = -22\/3 - -7. What is the closest to -2\/3 in y, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -906*c**2*w**3 + c**2*w + 3*c*w**3 - 5461*c*w**2 - 5*w**3 - w wrt c?\nAnswer: -1812*w**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 2, m: 2, p: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218843 is divided by 218724.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2 + (-16)\/(304\/(-95))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from yccyyyyyycsxccyc?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r. Suppose 3*x = -2*i - r + 2, i + 10 = 4*x. Suppose 14 - 42 = -x*a. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 12 + 0)*(-2*k + 1 - 1).\nAnswer: -70*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 3*u + 164, -72 = 10627*k - 10623*k - 2*u for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1931970 and 6120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n - n)*(0 - 1 - 1) - n - 666 - 672*n**2 + 1309 - 642.\nAnswer: -676*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2745\/15 - (-3)\/((-12)\/(-16)). What is the greatest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*w - 3 = -11, 5*s = -2*w - 27. Let j(g) = g**2 - 6*g. Let z(r) = -r - 8*r + 0*r**2 + r**2 + 2*r. Give s*j(l) + 6*z(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41355 - -41358. Sort j, -211, 1.\nAnswer: -211, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 60 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + 26. Find the second derivative of 2*s**4 + 10*s - z*s + 2*s**4 wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 7*u - 2. Let h(t) = 1. Let v(r) = r + 12. Let m(o) = 5*h(o) - v(o). Let d be m(-12). Let i be 2\/((-12)\/d - -2). Calculate y(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 - (3 + -49 - 5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1 = -35. Let z be (-3)\/(-6) + 1*(-3)\/k. Solve 2*j + 9 - 5 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470722 minus 0.11084?\nAnswer: -470722.11084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1445 + 3*m - m**2 + 1443 - 5*m in the form a*m**2 + i + x*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a81 - a3?\nAnswer: 9bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 399*c - 1574. Is 17 a factor of j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 0, 1, 0.21 in descending order.\nAnswer: 1, 0.21, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*n**3 - 53239792*n**2 + 88733012*n - 35493208 = 0. What is n?\nAnswer: -4436651, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1, -6, 8, -93, 0.3 in increasing order.\nAnswer: -93, -6, 2\/13, 0.3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -17. Let q = k - -22. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*x - 63 - 97, 5 = 5*b. Calculate the remainder when 105 is divided by x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24206154.1 plus -0.146?\nAnswer: -24206154.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 186232883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6\/5)\/i*i**9 assuming i is positive.\nAnswer: i**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217 - -106. Let o = -98 - m. Solve 5*t + 23 = s, -s - o - 14 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 15?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + 5 + sqrt(45) + 2.\nAnswer: 3*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a)**2\/(a**21\/a**(-1\/7)) assuming a is positive.\nAnswer: a**(-302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 - 31*t**5 - 267*t**2 wrt t.\nAnswer: -120*t**3 - 1860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbbqb. What is prob of picking 2 b and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2 + sqrt(143))*3)\/(sqrt(891)*-1).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2700*f**5 - 4*f**4 + 2590*f + 4 wrt f.\nAnswer: 54000*f**3 - 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 282 and 1.911.\nAnswer: 538.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, p: 2}. Give prob of picking 1 j and 1 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 1566*s + 12 = 1563*s, -5*s - 30 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -3664ec?\nAnswer: 3664f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 + 171*j + 53. Calculate h(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 4115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.84 - 31.84. Which is the biggest value? (a) w (b) 0.4 (c) -649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (81\/45 - 3)\/(6\/20). Sort -18, q, -5, 1 in increasing order.\nAnswer: -18, -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r - 5. Which is the nearest to 0? (a) 1\/5 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*a - 8 = 2, -2*a = 3*g - 16. Let m be ((-4)\/g)\/(4\/(-18)). What is the highest common divisor of m and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15250 (base 8) to base 2\nAnswer: 1101010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/12 - 5266\/456. Let m = q - -5\/38. Calculate the common denominator of m and 2\/9 + 701\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216592.\nAnswer: 2, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120574 is divided by 8561?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2*x + x)*(-49 + 20 + 24) + 3*x + 38*x - 64*x to z*x + b and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212141221 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3475938.485 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let p(z) = 9*z**2 + 45*z - 45. Determine 2*p(f) - 90*s(f).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(39\/(-18) - -2). Suppose c + 105 = 4*l - 4*c, -2*c = -y. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 447*b**3*k*v**3 + 4*b**3*v**3 + 741*b**3*v**2 - 12*b**3 - 408*k*v**3 - 5 wrt k.\nAnswer: 447*b**3*v**3 - 408*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 11*l + 60. Let i be b(-21). Suppose 5*j - i = 2482. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0, 896, 2\/5, 0.5, -5, 42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, -98, -340, -582, -824, -1066?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 + j - 3 + 3*j**2 - j + 3*j. Let s be q(2). Solve 0 = -2*c + 5*c + 4*t - 20, -3*t = -4*c - s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -413 + 593. What is the smallest common multiple of 96 and w?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 173, 496, 955, 1556?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgxg. Give prob of picking 1 x and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 + 220*d - 1818 = 0. What is d?\nAnswer: 9, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/72044, 106 in decreasing order.\nAnswer: 106, -3\/72044, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2)*-4 + 16\/1. Solve 31*z = 26*z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + v**2 - 2*v + 1. Let w be (-1)\/2 - (-9)\/6. Let m be g(w). Which is the second biggest value? (a) m (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 223458.1 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**3 + 5*v**2 - 5*v + 5. Let q(f) = -9*f**3 - 6*f**2 + 6*f - 6. Let o = 458 - 464. Determine o*l(u) - 5*q(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8, -1 in decreasing order.\nAnswer: 8, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484 by -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 49. Give v(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, f: 5}. Give prob of picking 1 f and 1 r.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**5\/40 + k**3\/8 - k**2\/8 + 97. Determine c so that n(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31221 - 11?\nAnswer: -31232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 976 (b) -1 (c) -2\/13 (d) -6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 80 = -5*d, 5*d = z + 68 + 8. Let i be 5*-1*(-6)\/d. What is the first derivative of 3*b**2 - i - 2*b**2 - 2*b**2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:09 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g. Let k(x) = -6*x. Determine k(n(y)).\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*d + 5*w, -3*d + 2*w = 1129 - 1130 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let x = z + -1. Suppose x = 3*d - d - 18. Solve 4*t - d = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127)\/9398*(4*(0 + -1) + 176\/33)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.5. Let y = 45.46 - 46. Let i = -0.04 - y. Which is the closest to 0? (a) i (b) w (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = 3*u, 0*u + 4*f - 12 = -4*u. Solve w = -4*w - u*x + 10, 0 = -5*w - 3*x + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*0.8.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 2. Let d be -2 + 3 + 0 + b. Is d at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 2. Suppose s - 10 = 5. Let j = s - 13. Give u(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 5*d**2 + 7*d - 6. Let u be (-2)\/(-8) - (30\/(-8))\/1. Give f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101392 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 7*m - 16. Let w be h(9). Suppose -25 = w*z + 7. What is the tens digit of (-189)\/(-12) + (-4)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 11874\nAnswer: 4749.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99 - (-5 + (25 - -11))) + -11.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1694198430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 104*o**2 - 1611*o - 308. What is i(16)?\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 273226, 539813, 806386, 1072939, 1339466, 1605961, 1872418, 2138831?\n\"Answer: -u**3 - u**2 + 266597*u + 6631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 145. Let w = 24 - -24. What is the greatest common divisor of w and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 19 - 99 = 0. Suppose y + 16 = -4*p. Is 2\/p + (-45)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/98 - 48\/(-70). Let o(l) = -20*l**2 - l - 1. Let h be o(-1). Let m = h + 79\/4. What is the closest to m in -4, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 28*t + 160. Let g(j) = 73*j + 480. Determine -3*g(d) + 8*n(d).\nAnswer: 5*d - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -107. Suppose -166 = 2*c - s, -o*s - 6 + 16 = 0. Let f = c + 93. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 21, -21, -69, -123?\n\"Answer: -3*z**2 - 27*z + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 divided by -4?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(19*m - 12*m + 26*m)*(-4*m + 2*m + 8*m)*(1 - 2 - 1).\nAnswer: -396*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 2358?\nAnswer: 11\/2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -9. Suppose 0 = 3*p - 2*p - k. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/66 and (908\/(-40) + 5)\/(-3 - -12).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.39 and 131.7636987.\nAnswer: 152.1536987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/45 + 11*j**4\/18 + 16*j**3\/3 - 3*j**2 + 3*j. Factor g(t).\nAnswer: 4*(t + 3)*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -47503?\nAnswer: -47477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/18 + (32\/18)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from memmmhhdbhhuhbmhhhme?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 1, g: 2, e: 4, l: 5, b: 2, a: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.258 - -129.418. What is n rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -3\/4 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -f + 3*f. Suppose 54*v - f = 52*v. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 414, -0.3, 2.72, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15579, -31141, -46711, -62289, -77875, -93469?\n\"Answer: -4*z**2 - 15550*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 3*n**2 + n. Let h = -27 - -17. Suppose 0 = 2*x - 3*x + 1. Let a be x\/2 + (-25)\/h. What is s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 2*d**2 + 5*d**3 - 2*d**3 - 3)*(-2*d**2 + 4*d**2 + 2*d**2).\nAnswer: 4*d**5 + 8*d**4 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16400 divided by 4100.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 - (-2 - 1). Suppose 0 = s*h - 417 + 73. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -12. Let k be h\/(-3) + 702\/(-405). Which is the closest to 0.04? (a) -2\/9 (b) 1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -661443185, -661443184, -661443183, -661443182?\nAnswer: -661443181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21189684 and 623226?\nAnswer: 21189684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 15 - 0\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2229\/4 - -33443\/60. Let c(d) be the second derivative of -n*d**6 + 9*d**2 + 17*d + 0*d**4 + 0*d**5 + 0*d**3 + 0. Differentiate c(l) wrt l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 436*k**2 - 3*k + 13. Let j be w(2). Calculate the greatest common divisor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584350 divided by -775.\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 + 672*x - 27356. Give k(-114).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/177 and 2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/10 and 26\/12631.\nAnswer: 126310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 128553 = -89*x. What are the prime factors of x?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1\/108, -4, 485 in decreasing order.\nAnswer: 485, 3, 1\/108, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d + 9. Let x be (d + 30\/(-9))*6\/(-5). What is m in -4\/5*m + 2\/5*m**3 - x*m**2 + 0 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 0.8. Let p = 1 + -0.5. Let i = 1498\/11 - 136. Which is the nearest to -1\/3? (a) t (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 652019579, 652019583, 652019589, 652019597, 652019607?\n\"Answer: g**2 + g + 652019577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 52 - (62 - 36)) + 84 - (1 + 14).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221207000 divided by -56.\nAnswer: 3950125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 31870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - x + 2201, -3*b = b + 5*x - 2221. Let n = b + -305. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -622\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -1cd?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 3*y - 12. Let g be v(-5). Let s be ((-6)\/(-4))\/(6\/16). Let t be (1 + g\/s)*46. What is t rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 equal to 63798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 209 = -733. Let f = -102 - -32. Let x = f + n. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 9*p - 14. Let d be u(-6). Let q(s) be the third derivative of 0 + 0*s - 2*s**2 - 1\/120*s**5 + 1\/12*s**d - 1\/3*s**3. Let q(o) = 0. What is o?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:29 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1 + 4*h - 1. Let n(x) = -3*x. Determine n(l(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(3\/8)\/d*d*d**(-2\/5) assuming d is positive.\nAnswer: d**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 * -60.82\nAnswer: -1.88542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**4 + 0*j - j**5 + 0*j**3 + 34 + 11\/2*j**2. What is the second derivative of z(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/2 (c) 4 (d) 28 (e) 2 (f) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5047380 by 84123.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63321?\nAnswer: 3, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z**3 - 92*z**2 + 188*z + 4. Let p(l) = -7*l**3 - 91*l**2 + 189*l + 3. Let r(j) = 3*n(j) - 4*p(j). Factor r(a).\nAnswer: 4*a*(a - 2)*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 33*w + 589. What is j(-21)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuul when four letters picked without replacement from lulluu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2408 and 903.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8910*j**2 + 5 - 9028*j**2 - 2)*(3*j**3 - 2*j**3 + 0*j**3 + (-j**2 - 4 + 4)*(0*j - 3*j + 2*j)).\nAnswer: -236*j**5 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqe when three letters picked without replacement from {e: 7, q: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71576*d**2 - 13*d + 12307 wrt d?\nAnswer: 143152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + 0.29. Which is the closest to h? (a) -5 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2562949, -2562939, -2562929?\nAnswer: -2562919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**3\/2 - 26*p + 95. Let d(s) = -2*s + 1. Calculate 4*d(z) + 3*m(z).\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 5) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 t when four letters picked without replacement from {b: 1, t: 2, d: 2, w: 2, c: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 643891819*n**5 + 652062666*n.\nAnswer: 12877836380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3357c - 0?\nAnswer: 3357c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fmfffffbbfqffqqpqqqq?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = 8, -h = -q + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/23 - (1 + 1944\/138).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/21)\/(q**(-2\/9)\/q*q))**(-7\/3) assuming q is positive.\nAnswer: q**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1800))*5*-4 + -1)**2.\nAnswer: 49200*sqrt(2) + 721681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.6 or 5\/27?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(117) - (-1*sqrt(117) + sqrt(117) - sqrt(117)) - (3*sqrt(52) - sqrt(13))**2).\nAnswer: -328 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + -2 - 0\/1. Let i = 13 - b. Suppose -v - o = -19, i*v + 12 = -5*o + 84. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -28 - 4. Let c be g\/(-2) - (2 + -2). Solve y + c = -v, -5*y + 0*y + 8 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13800283 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 830, 829, 828?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*y + f, -4*y - 7 = -5*f - 1. Solve 4 - y = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 3. Let g be (-1)\/(0 - 3\/l). Suppose g*j + 3895 = 2*i - 10110, -3*i - 4*j = -20996. What is i rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j**4 - 14308*j**3 + 7132*j**2 + 35752*j + 14304 = 0 for j.\nAnswer: -1, -1\/2, 2, 1788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 + 189432*q**3 - 224276122072*q**2\/5 - 179423170848*q - 897119642896\/5.\nAnswer: -(q - 473582)**2*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2510 and 100?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3275 - 24*i**2 + 3275)*(-37*i + 37*i - 20*i**2) + 2*i**4 - 2*i**3 + 2*i**3.\nAnswer: 482*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*333509.\nAnswer: 1334036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 2. Let v be o(1). Let d = -2 + -1. Let p = 109 - 111. Put v, p, d in decreasing order.\nAnswer: v, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35509338259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06449 take away 4?\nAnswer: -3.93551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 times 6?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 522 + -498. Let i be -3*8\/l*-2. Solve i*k + k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26736 - 26735.999969602. What is f rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 108470*s\/3 - 1772477.\nAnswer: (s - 108519)*(s + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 21. Which is the nearest to -4? (a) u (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47744)\/(-2238) + (32\/(-12))\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -5. Suppose b*s = 10*s + 190. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - d - 2. Suppose -12*m = -2616 + 2580. Let a(p) = -3*p - 3*p**2 + 0*p**2 + 4*p**2 + 2*p - 2. Calculate m*a(w) - 2*h(w).\nAnswer: -w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 9*x**2 + 13*x**2 + 4*x**5 + (-4*x**3 + 3*x**3 + 3*x**3)*(-2*x + 2*x + x**2) - x**5 - 3*x**5 + 6*x**5 - 2*x**2 + 2*x**2 - x**5.\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = 4*w. Suppose -g = -2*v - 8, -4*g - v + 14 = -0*g. Put 2, w, g in decreasing order.\nAnswer: g, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let m = 1.08 + -0.78. What is the third biggest value in i, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161204 (base 9) to base 3\nAnswer: 12001020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 3163?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10)*-30)\/((95\/(-30))\/(-19)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 w when four letters picked without replacement from {v: 3, y: 3, b: 1, m: 1, w: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235535 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from ppptptttctc.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2662*r + p = -2664*r + 23, 6*r + 4*p = 92 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66916078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-2)\/8*3). Let o = b + 16. Calculate the least common multiple of o and 68\/6 - (-4)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 + 3*o**2 + 4*o + 2. Let r be x(-1). Is 1847 - (-2 - 18\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -78.8. Let r = -5.92 - -6. Put r, 1\/6, v in descending order.\nAnswer: v, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 26 = 5*t, 3 - 25 = -t - 4*u. Suppose 416 - 1556 = -t*x. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.149 and 139.\nAnswer: 4607.711","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36995916*y**4 + 76437076*y?\nAnswer: 443950992*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12b + 5?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 103 + 38 = 0. Let j be (55\/35)\/(5*6\/210). Suppose 3*o - j = -4*y, 2*o - y - w = 2*y. What is the remainder when 13 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 701 - 283 - 151 + 134.\nAnswer: h**3 - 1001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -55. Sort 0.5, 0, 0.2, b.\nAnswer: 0, 0.2, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*q = 1, l + 4*l + 17 = -q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2075, 2066, 2041, 1994, 1919?\n\"Answer: -d**3 - 2*d**2 + 4*d + 2074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -377\/220 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*i, 8*b - 3*b + 2*i = 77. Calculate the remainder when 99 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -582 - 2c?\nAnswer: -5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/13)*t**(7\/4))\/(t**(-6\/11)*t**(3\/5)\/t)*((t\/(t\/t**13))\/(t*t*t\/t**(1\/3)*t*t*t))**7 assuming t is positive.\nAnswer: t**(462907\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 390421 or 390565?\nAnswer: 390565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*i = 0, q = -3*i + 4*i. List the prime factors of -4 + (-2 - -80) + q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxxxqqqpxx. Give prob of sequence xxx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232 + 358. Suppose 3*j + j = -56. Let c be (-505)\/(-35) + 6\/j. What is the highest common factor of c and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzxzxzzzz. Give prob of picking 2 z.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/36 and -125\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1488 + -1445. Let n(t) = 4*t**2 - 1. Let d be n(-1). Sort d, q, 4 in descending order.\nAnswer: q, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1053))*1 + 2 + sqrt(208) + sqrt(208) + 0 + -2 + 4.\nAnswer: 6 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b. Let x(c) = 94945*c + 98. Give x(r(a)).\nAnswer: 284835*a + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2503 and -94881.701.\nAnswer: -97384.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 3. Let m(u) = -60*u**3 - u**2 - 5*u + 4. Let s be m(r). Let d be s\/2*(-12)\/8. Round d to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -2\/9, 0 in ascending order.\nAnswer: -2\/9, 0, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:47 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 4*k**3 + k**3)*((0 - 3 + 1)*(0 + 0 - 2) + 19 + 17 - 34).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(308))\/sqrt(11))\/sqrt(4).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6637.647 millilitres in litres?\nAnswer: 6.637647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 593 - 593. Solve 2\/7*d**5 + 0 + h*d**3 - 4\/7*d**2 + 4\/7*d**4 - 2\/7*d = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - k = -2*s + 539, -s + 5*k + 161 = 0. Is s a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13542 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74*(-160)\/62160*(-819)\/(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 186*h**4 - 3060*h**3 + 5400*h**2 = 0. What is h?\nAnswer: 0, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9329 + 0.2329. Which is the closest to 1\/4? (a) x (b) -2 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 2864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 26 - 22*q**3 + 25 - 51.\nAnswer: -22*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-9) + (-1)\/(-3) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442100 (base 5) in base 9?\nAnswer: -70734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7383?\nAnswer: 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**6\/240 + 3*i**5\/80 + 2*i**3\/3 - 4*i. Let l(u) be the second derivative of y(u). Factor l(k).\nAnswer: -3*k*(k - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6923 is divided by 496.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -28. Suppose -4*r = -p - 3*p - x, p + 6 = 5*r. Let f(q) = q**3 + 3*q**2 - q - 2. Let b be f(-3). Is r greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12*23810\/8*3\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -14, -0.5, 0, 0.2, -21.2, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87892037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - 2*q**3)*(0*q**2 + 2*q**2 + 0*q**2) + 0 - 3*q**5 + 0 + (0 - q + 0)*(-2*q**4 + 0*q**4 + 3*q**4).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -1, 4 in decreasing order.\nAnswer: 4, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 take away -5?\nAnswer: 5.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126.35 + 124. Let p = 0.35 + v. What is the biggest value in 4, -7, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -268*t**3 + 25*t + 9.\nAnswer: -1608*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -3. Let q = 47266\/77 + -6746\/11. What is the second biggest value in q, 0, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*7\/(420\/(-16))*-20. Let n = l + 63. Let g be (-4)\/(n - 4\/(-8)) - 1. Solve g - 6 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 126858017\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 7*h - 23*h + 7*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*g = 279 + 648, 931 = 3*o + g. Let l = o - 215. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2663*y - 36837 = 76833 - 14357 + 23185 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d - 4. Let c be (-4 - -1)*8\/6. Let i be m(c). Let u be 6\/i*10\/(-15). Let f(j) = 4*j**2 + 2*j - 1. Calculate f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1137*s - 226562 + 199274 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (3 - (-2 + 2)). Suppose w = 5*h - 32 - 3. Solve -h = -4*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*t + 42 = 0, -3*t + 25 - 18 = g. Solve 8*s = 6*s - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 - -183. Let w(g) = 16 + 0 + g + 2. What are the prime factors of w(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 84533 and 41789.\nAnswer: 126322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 5. Let w(z) = 3*z + 1. Let l(q) = -6*q - 3. Let t(y) = -5*l(y) - 9*w(y). What is -4*o(n) - 3*t(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, k: 2}. What is prob of picking 3 j?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -877*q**4\/24 + 8*q**3\/3 - q**2. Suppose -23 = -9*s + 49. Let r be u(s). Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 235. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10 - 34 - 36 + 26*t - 2. Is 22 a factor of m(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**4 - 2*a**4 - 3*a**4 + 3*a**4 + 2 - 2 + (14 - 14 - 4*a**4)*(3 - 4 + 2).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 28194 - 26306 = -21*c. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 14, u: 4}. Give prob of sequence ubu.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.39 + 0.3. Let m = -0.090076 - j. What is m rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, and 1 j when three letters picked without replacement from ssjjjawj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 16) in base 10?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 114. Let q(u) = -3 + 16 - 7*u - 2*u + 8*u. Let z be q(x). Which is the biggest value? (a) -2 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/23 + 6502*r**2\/23 + 756124*r\/23 + 605520 = 0. Calculate r.\nAnswer: -90, -23, 3364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16 and 89\/6299684?\nAnswer: 25198736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 8. Let w(g) = -g. Give u(c) + 4*w(c).\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**4*m*s - 345*a**4*s*v - a**4 + 2*a**2*m*s*v + 31*a**2*s*v + 221*a*s - m*v wrt a.\nAnswer: 240*a*m*s - 8280*a*s*v - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-3 + -1*1*sqrt(152))\/((sqrt(80) + 4*(sqrt(80) + sqrt(80)*1))\/sqrt(10)).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-3*1\/14). Let f = 25 + d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 10\/177, 2\/5, 0.\nAnswer: 0, 10\/177, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/42 and -41\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (20 + 2) - (300 - 291)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 59 = 2*j. Let g = j - -32. Suppose g = 3*v - 2*f - 178, -v - 5 + 61 = -4*f. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 - q**2)*(2*q - q - 2*q) - 1138*q**3 - 25*q + 9*q - 2676*q**3 + 16*q.\nAnswer: -3813*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21421 (base 8) to base 16.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 7*h**2 - 13*h + 11. Let g be q(5). Sort 2, g, -21 in increasing order.\nAnswer: -21, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -1107*m + 1094*m. Is m >= -14\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -175, -423, -781, -1255, -1851, -2575, -3433?\n\"Answer: -l**3 - 46*l**2 + l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 901.7063 kilograms?\nAnswer: 901706300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10037695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j**5 + 306*j**4 + 8222*j**3 - 35826*j**2 + 27324*j = 0. What is j?\nAnswer: -198\/13, 0, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o - 9. Let d be w(2). Solve 40 = d*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rssr when four letters picked without replacement from {r: 9, s: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 93*z - 440. Give o(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 plus -0.047435?\nAnswer: -330.047435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose m + t*m = 80. Solve 0*z - 4*z = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*o = -12, -2*o - 12 = -c - 0*o. Solve -2*j + c = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112020202 - 12112210?\nAnswer: 22200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose -3*y = 2*y + m*p - 155, p - 58 = -2*y. Suppose y = 4*w - w. What is the remainder when 17 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/7, 1, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 560 - 8381\/15. Find the common denominator of r and 38\/18 - 0 - -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + -2229079.9\nAnswer: -2229080.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7452188 and 1972.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.7. Let r be 39*3\/162 - 2\/4. What is the closest to -0.1 in r, 0.4, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z - 3. Let s be -6 - ((0 - -3)\/1 - 4). Let u(c) = -5*c + 16. What is the remainder when u(s) is divided by l(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 3610, 12497, 29926, 58759, 101858, 162085?\nAnswer: 242302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1110.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + z + z + (-2*z - 2 + 2)*(5 - 6 - 10) - 2*z + 1 - 1 + (-z + 0*z + 0*z)*(-3 + 1 + 1) - z - 2 + 2 - z + z + z as h*z + c and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15216*v**3 + 20 - 41210*v**3 - 79804*v**3 - 20.\nAnswer: -136230*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018442679 rounded to six decimal places?\nAnswer: -0.001844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/17 + -115\/153. Let k = -14.13 - -14.03. Which is the nearest to k? (a) o (b) -2\/21 (c) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64166.45 hours to nanoseconds.\nAnswer: 230999220000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.4, -5, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22450?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/8 + 5*k**4\/8 + 7*k**3\/8 + 3*k**2\/8.\nAnswer: k**2*(k + 1)**2*(k + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16791 = -n, 2*n = -4*d + 48411 - 14837. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -11)\/(2\/8). What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -27.\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let d be h(2). Suppose 107*p - 735 = -28*p - 12*p. Sort d, p, 3 in ascending order.\nAnswer: 3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 25, -45, -211, -503, -951, -1585?\n\"Answer: -5*z**3 - 3*z**2 + 40*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2 - j*x**2 + 1595*j*x - 621*x**2 - 28*x wrt j.\nAnswer: 4*j - x**2 + 1595*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -20 - ((-21)\/84*14 + 10\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24939 = 15*j - 96246. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 114*w**2 - 14347*w - 1378620.\nAnswer: (w - 115)*(w + 81)*(w + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, z: 2}. What is prob of picking 1 z and 2 o?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2271, 2260, 2263, 2280, 2311, 2356?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/135 and -139\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -38. Let a = r + 32. Let f = -16 + 13. What is the smallest value in 1\/3, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvp when three letters picked without replacement from {p: 4, v: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/3 - 86*m\/3 - 391 = 0.\nAnswer: -69, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 - 7*d**4\/24 - 5*d**3\/6 - 5*d**2. Let l be c(-5). Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2056856 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 2 l when four letters picked without replacement from ljljjlljpl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -59.293, -3, 0 in decreasing order.\nAnswer: 0, -3, -30, -59.293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218165693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1668?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-15))\/((-7)\/21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 3*r - r + 3 - 3 + r + (-4 + 2 + 0)*(0*r + r + 0*r) + 2*r - r - 7*r + (-37 - 1 - 11)*(2 - 2 + r) - r - 128 + 128 in the form q*r + x and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4.1155455 + 51457\nAnswer: 51452.8844545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54670814, 54670815, 54670816, 54670817, 54670818?\nAnswer: 54670819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 35\/8 (c) -23\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29b - 1?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(-1))*p)**(-34))**(1\/5))**(3\/8) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 27.\nAnswer: 16\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, 17 = o + f - 4*f. Suppose -2*v - 3*x = x - 474, -5*x + 1210 = o*v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714657924 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -320876.6 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 30*p**2 + 15*p + 7. What are the prime factors of m(-6)?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aonylayocyolloa. Give prob of sequence nayc.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 5. Let g be k(-7). Let y be 3 + (g - -1)*-1. Solve y = -4*w + 9 - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -13. Let n = -34 + 34. Put n, m, -1\/7, -1 in decreasing order.\nAnswer: n, -1\/7, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 + i. Let y(q) = -6*q. Let j(k) = -11*k. Let b be -4 + -6 + 3 + 2. Let r(f) = b*y(f) + 3*j(f). Determine r(n(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/268402 and 49\/36054.\nAnswer: 2415618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*y + 13*y**3 - 4*y**4 - 19*y**3 - 44*y wrt y?\nAnswer: -48*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 6. Let p be w(5). Let m be (46 - (p + 0))*(-11440)\/(-66). What is m rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -10. Let j(y) = y**3 - 4*y**2 + 3*y + 3. Let s be j(q). Suppose 21 = 3*z - 2*h, 5*z - 4*h + 6 - s = 0. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 4. Let h = 21011 + -20921. Calculate the lowest common multiple of a(-4) and h.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 15*m**2 - 117*m - 10. Let g be q(-10). What is the greatest common divisor of g and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 2*n**2 + 16*n**2 - 9*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/8)\/((-1)\/(-4)). Let l be ((-1)\/(-4))\/((-6)\/(-24)*-6). Which is the nearest to -4? (a) l (b) z (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9234 - 9158. What is the closest to -5 in j, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1364416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g)\/g)\/(g\/((g*g*g*(g\/g**(-6\/11))\/g)\/g))*g\/(g*g**5)*(g\/(g**11\/g))\/g assuming g is positive.\nAnswer: g**(-1508\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 23*t - 24*t + 54 = 0, 2*l + t + 36 = 0. Put 5, 3, 22, 0.4, l in descending order.\nAnswer: 22, 5, 3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3228 and 672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41037952 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 0 - -1 - -7. Let r(t) = 12*t + 3. What is the tens digit of r(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -1)*(3 + -2)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23809.34 centimeters?\nAnswer: 238.0934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3444 + 3440. Which is the second smallest value? (a) 23 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7672 is divided by 1897?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -1\/4 (c) -0.06 (d) -2 (e) 1.4 (f) 70\/3 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012 = -242*m + 349*m - 1877 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 - ((-9 - -5) + 8*1). Let s = 18 - n. Suppose -7 = s*o - 82. What is the remainder when o is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 19*n + 41, -3*f + 521631 - 521625 = 2*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 101. What is the highest common divisor of y and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 4, 13, 1\/4, -2\/41, 23 in increasing order.\nAnswer: -2\/41, 0.06, 1\/4, 4, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 20201903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1782767 is divided by 588.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 95404 divided by 13\nAnswer: 95404\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1208*z**2 - 1092*z + 4. Let p(y) = -6033*y**2 + 5460*y - 23. Let g(c) = 11*h(c) + 2*p(c). Find the second derivative of g(n) wrt n.\nAnswer: 2444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s - 16. Let o be n(-5). Solve g = 3*u + o, 4*u = 4 - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from {e: 4, q: 2, z: 6, w: 2, n: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201001 - -120?\nAnswer: 11201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5)*12\/18. Let i(q) = 9*q + 12. Is i(f) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136414 is divided by 19487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z = 51*z - 189. Suppose -4*v - 4*f + 29 = -f, 3*v + 4*f = z. Which is the nearest to -2\/5? (a) v (b) -0.4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*(5 + -6). Let g be (5 - 3) + (x - -4). Which is the smallest value? (a) g (b) -2\/19 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11233 - -3102223231?\nAnswer: 3102301130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-5) - 964\/(-1834). Let k = c - -6\/131. Factor 0*o**4 + 0 + 2\/7*o**5 + 0*o**2 + 2\/7*o - k*o**3.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 2}. What is prob of picking 2 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 - -2196.2388.\nAnswer: 2357.2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*p*q**3 - 5266*j**2*p - 6314*j*p*q**3 + j*p*q**2 + q**3 wrt j.\nAnswer: 2*p*q**3 - 10532*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 159 = 3*a, -8*a + 12*a = -2*o + 224. Suppose 0 = -a*h + 43*h + 3564. What is the remainder when h is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 0.055 (c) 0 (d) -0.5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 34*l + 62. What is x(34)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75460543138 - 75460543138 + 24*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(66)\/sqrt(6) + -6*(sqrt(11) + sqrt(11) + -2) - 2*(sqrt(176) + -1 + sqrt(176) + (sqrt(11) + sqrt(11) + sqrt(11)*3)**2 + 3).\nAnswer: -541 - 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1441, 1478, 1545, 1648, 1793, 1986, 2233?\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 10*y**2 + 11*y - 2. Suppose 0 = 5*s + 596 - 771. Suppose -s*v = -204 - 181. Determine j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11503549 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 217147 = -47*b + 1012001. List the prime factors of b.\nAnswer: 2, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5796)\/(-2898))\/(1*-34)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38664 divided by -12888?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15144061 (base 7) to base 16.\nAnswer: 15f77e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26209*c**5*z - c**4*z + 2*c**2 - 7272*c*z + 2*z + 1 wrt c?\nAnswer: -1572540*c**2*z - 24*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times 44.799\nAnswer: 98.5578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12584585, -12584603, -12584621, -12584639, -12584657?\n\"Answer: -18*y - 12584567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*d - 2938 = 2*d, 0 = 2*v + d - 1177. Let u = -365 + v. List the prime factors of u.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217422903 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -4*u + 7 - 3, 0 = -4*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5299 - 2779. Does 56 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12740 - 18037. Let j = -21097 - h. Round j to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 24*o**2 - o - 28. Let z be y(-24). Let m be 5 - (z - 116\/(-12)). What is the biggest value in 0.02, -0.3, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/758464 and 17\/264.\nAnswer: 25029312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/3179 and -41\/5114433?\nAnswer: 56258763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = w - 2410, -5*w + 7*y = 2*y - 11975. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*x**3*z**2 - 4*x**3 - 3*x**2*z - 5*z wrt z?\nAnswer: -314*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {q: 1, g: 5, l: 1, y: 4, c: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*q - 771, -5*g + 3*q - q = -962. Is g - (-1 + 8\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 + 0 = 0. Let l(c) = 5*c - 3. Let x(h) = 7*h - 4. Let u(a) = -3*l(a) + 2*x(a). What is u(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i**2 - 3*i + 3. Let t = -180 - -181. Let y be d(t). Solve -2*a + 0*l = 3*l, -2*a - l = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -16*u - 1 + u**2 + 16*u. Is 24 a factor of z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459726 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068756?\nAnswer: 2, 419, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 15*k - 4 - 44. Solve -9*c - k*c = -48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.1648884 to 3 dps.\nAnswer: -6.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 537 - 383. Calculate the remainder when c is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 13. Let c(p) = 10*p**3. Let k be c(1). Let z be a(k). Suppose 0*s = -5*j - 2*s + 113, j - 33 = -z*s. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -18) + -14 + 24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343987678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 26\/7*v + 54\/7*v**2 + 4\/7*v**3.\nAnswer: 2*v*(v + 13)*(2*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278580001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(65\/2) - (-81)\/234?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 = u, -25 + 86 = 3*u + 2*o. Suppose 2*d = -2*b + 320, -2*b = 4 + 4. Let k = 230 - d. Calculate the remainder when k is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -3\/10 (c) 0.2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 815 and -2933.\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -15*n**2 - 7*n - 5. Let j(r) = 30*r**2 + 15*r + 11. Calculate -4*j(d) - 9*p(d).\nAnswer: 15*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 69. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000202516 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) -4 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3*p**2 - 51*g**3 + 4581*g**2*p**2 - 1372*g**2 wrt p.\nAnswer: 6*g**3*p + 9162*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92837 is divided by 3819?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1959 - -1313. Let k = -6467\/10 - z. Calculate the common denominator of 59\/16 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14151 and 113199\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47488796, 47488798, 47488810, 47488838, 47488888?\n\"Answer: a**3 - a**2 - 2*a + 47488798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2462 + 774. List the prime factors of j.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/11, 504, 3 in increasing order.\nAnswer: 2\/11, 0.2, 3, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*n**3*w**2 + 4*m*n**2*w**2 + 3*m*n**2*w + 1592*m*n*w**3 + m*w**2 - 1410*n**3*w**3 - 3936*n**3*w**2 - 3*w**2 wrt w?\nAnswer: 9552*m*n - 8460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 2*d = -28, 0 = -o + 2*d + 166 - 138 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8919 (base 14) to base 6.\nAnswer: 301523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrdhgdddgdd. Give prob of picking 1 h and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-6)\/90 - 60\/(-9). Suppose -j*c = -0*c - 5096. List the prime factors of c.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 551340.87.\nAnswer: 551342.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.34 - -13.36. Let k = q + -17.9. Let l = -1 - -0.95. Sort l, -1, -2\/13, k.\nAnswer: -1, k, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, i: 4, n: 6}. What is prob of picking 1 l and 1 n?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11fa + -457?\nAnswer: da3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856440347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63\/166 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1033 - 1032.99997475. What is p rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 81*r - 1290. Let n be l(16). Solve 24*b + n = 27*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.219 + 0.2189628. Round j to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(165)\/(sqrt(6)\/sqrt(2)))*5)\/(-2*sqrt(22)\/sqrt(2)*-6).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14408, 14392, 14378, 14372, 14380?\nAnswer: 14408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68\/(-6) - -2)*-27. Suppose y - 16 = 5*m, 5*y + 4*m - g = -85. Suppose 0 = 3*r - y - 149. Calculate the greatest common divisor of r and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 3. Suppose 4*s - 20 = -s. Suppose j = -s*t + 11, j = -0*t + 5*t - 7. What is x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169090008 to the power of 1\/2, to the nearest integer?\nAnswer: 34192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t + 15. What is n(-7)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllylala. What is prob of sequence ay?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 3141631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)\/j**(-3\/4) assuming j is positive.\nAnswer: j**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 3*t. Let n(h) = -h. Let p(j) = l(j) + 3*n(j). Let d(f) = 12*f**2. What is d(p(x))?\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -y + 4 - 16, -2*i + 24 = -5*y. Suppose -5*g - 2 = 4*x, 0*g - 6 = -4*x - g. Solve 0*j - 2*j = -4, j + i = x*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3741757841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:00 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23*h**2 + 10*h + 6874. Let l(f) = -4*f**2 - 2*f - 1375. Give -11*l(s) - 2*w(s).\nAnswer: -2*s**2 + 2*s + 1377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1162.\nAnswer: -464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2169 - 420*c**2 + 1580*c**2 + 2607*c**2 + 1163*c**2 wrt c?\nAnswer: 9860*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*w - 59 = 615 + 907 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 1. Let q(x) = -5*x + 1. Let s(u) = 12*u - 2. Let d(r) = 7*q(r) + 3*s(r). What is -3*d(j) - n(j)?\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c - 24*c + 1002150 = 0. What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514654925?\nAnswer: 5, 409, 50333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-22)*2759\/13795.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -408141*0.07\nAnswer: -28569.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 3*h**2 - 2*h - 2. Let v(d) = 11*d + 277. Let c be v(-25). What is a(c)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23448 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 - 2*z**2 + (3*z - z + 0*z)*(2*z + 0 + 0) + 11*z - 11*z + 6*z**2)*(113 - 113 + 20*z**3).\nAnswer: 180*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 4 + (sqrt(700) - (sqrt(700)*-2 - sqrt(700))) + sqrt(700) + 2*sqrt(700) + 0 + sqrt(700) + (-1 + sqrt(700))*6*5)**2.\nAnswer: -20280*sqrt(7) + 1065376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-5))\/(((-4)\/20)\/((-1456)\/(-1092)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 1, p: 7, w: 4, e: 2, g: 2, o: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 21 = -5*l, -19 = -4*w - l - 2*l. What is the third derivative of 2*h**2 + 29*h**2 + 15*h**w + 3*h**2 wrt h?\nAnswer: 360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 7 + (-9 - 1 - 13).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*c - 19 + 19. Put c, 15, -6 in descending order.\nAnswer: 15, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-39)\/(-6)*(2 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + h + 4)*(-5 + 4 + 0) + (-2*h + h + 3*h)*(-5 + 3 + 1) to the form i + f*h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 30. Suppose 3*m + 0*m = 33. Solve -2*x + 6*x + 5*d = 24, -4*d + m = -z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = 3. Let z(w) = 2*w**2 + 2*w. Let t be z(s). Solve d = -4*r - t, d + 4*d - 24 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591042?\nAnswer: 2, 379, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*s**3 - 2*s + 2*s + 209*s**3 + 161*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 3*b**2 + 8*b + 6. Let q be s(4). Solve 0 = -i - 17 + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 24 = 0. Calculate the highest common divisor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {h: 2, f: 9, r: 5}?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(45) + 4) + 2 - (-1*(sqrt(5) - (sqrt(320) + 0))**2 + -4).\nAnswer: 6*sqrt(5) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*i**4 - 814160*i**3 + 344694703*i.\nAnswer: -1476*i**2 - 4884960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 4*f + 0*f**3 - 2*f**4 + 0*f**3 wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1982974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 10*p**2 - 201*p - 1925. Give i(-14).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + o**2 - 23 - 3*o**2 + 5*o**2 in the form i*o + t*o**2 + z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmlm. Give prob of picking 1 l and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = -20*t + 20*t - 22*t - 1581 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -219, -145, 51, 429, 1049, 1971?\n\"Answer: 10*d**3 + d**2 + d - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 75429 times 6\nAnswer: 452574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 313*b + 108. Is p(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*a = -20, 5*a + 2 = -i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-295)\/(-10) + (-9)\/6. Suppose 3 = q - a, 5*q + a - 33 = -3*a. Solve 0 = q*j - 3 + o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 347786*a**4 + 1391156*a**3 - 1391160*a**2.\nAnswer: -a**2*(a - 2)**2*(a + 347790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2. Let s(x) = -2*x - 2*x + 5*x. Let j(i) be the second derivative of -i**3\/6 - 8*i. Let n(c) = -j(c) + s(c). What is n(p(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 - (-1)\/((-8)\/(-31744)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from {i: 2, g: 2, c: 10, t: 2, p: 1, w: 1}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88288060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -1605\/8, -0.2 in descending order.\nAnswer: -0.2, -98, -1605\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*q = 12 + 138, 0 = -5*q. Suppose 5*u = 75 + f. What is the second derivative of -x + u*x**5 + 21*x + 3*x + 3*x wrt x?\nAnswer: 420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 + 7*s**2\/4 - 59*s\/8 + 35\/4.\nAnswer: -(s - 7)*(s - 5)*(s - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q - 86*q - 14*q.\nAnswer: -169*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 26*r + 113. Let g be p(-22). Solve 19*c + g = 14*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, g: 11}. Give prob of sequence gff.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9030815856 + 0.05.\nAnswer: -9030815855.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, -3, -3\/4, -3\/715.\nAnswer: -3, -3\/4, -3\/715, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 97\/1892? (a) 5 (b) -18 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p. Suppose -2*x + 4*g - 2 = 0, p = g - 3*g + 6. Solve -x = 2*s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*i + i + 7 = 0, i + 13 = 2*g. Suppose 2*r + 8 = g*r. Suppose 3*u = r*w + 16 + 2, 3*w + 17 = 2*u. Solve u*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 - -342. Calculate the greatest common divisor of d and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6004386 nanograms?\nAnswer: 0.0000000000000006004386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105267, 105268, 105269, 105270, 105271, 105272?\nAnswer: 105273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.75579 + 0.35579. Suppose n = m - 3*n - 9, -4*n - 6 = -2*m. What is the nearest to m in 5, 3\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2345777 or 21112000\/9?\nAnswer: 2345777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-9)))\/(d\/((((d\/d**(-12)*d)\/d)\/d*d)\/d)*d*d*d*d*d)*d**(-1\/38)*d**7 assuming d is positive.\nAnswer: d**(835\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13556, -54248, -122060, -216986, -339020?\nAnswer: -488156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m = 4*u + 69948, -3*m + 52469 = 5*u. Suppose -21*l + 866 + m = 0. What are the prime factors of l?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/5))**(-50)*i**9*i*i\/(i*i**(2\/11))*i)**(-6\/7))**(-9\/7) assuming i is positive.\nAnswer: i**(-5022\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 198*f**2 + 8508*f - 564. Give l(135).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*-2 + -3. Let i be (-315)\/12 - z\/(-4). Let w = -26 - i. Which is the third smallest value? (a) 2 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3)\/b)**42\/(b**(2\/11)*b*b*b**(-9)) assuming b is positive.\nAnswer: b**(383\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -839, -1263, -1689, -2117, -2547?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1 (c) -5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 - 6*o - 2. Let x be v(-5). Find the second derivative of -3*w - 3*w**5 + 0*w - x + 3 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9153842 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5392\/10 + -3 + 19\/5. Suppose -83*d + h = -79*d. Round d to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/20856 and 77\/960?\nAnswer: 834240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 - 9\/3 - -1. Suppose -4*i + 37 = -m. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29499, -29502, -29505?\n\"Answer: -3*r - 29496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.24468, 0.05, 4\/7, -9?\nAnswer: 1.24468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 101. Let h be a(7). Solve -12 = -49*k + h*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + 27*y - 27*y + (43 - 43 + 15*y)*(1 - 5 + 3)*(-1 - 3 - 7)*(-6*y + y + 3*y)*(5 - 3 - 4).\nAnswer: 664*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -47.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Suppose -26*b = -317 - 2153. Let q(o) = 1 + b*o + 83*o - 1. Determine q(g(m)).\nAnswer: 356*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.048? (a) -4 (b) -2 (c) 0.06 (d) -5 (e) 3 (f) 3782\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*n + 1 - 4, 4*n = 2*z - 18. Suppose g - 28 = -r, 0 = g + z*r + r - 22. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from pkkidirkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z - 28*z - 120 = 33*z. Solve 0 = 4*m - z, -538*f + 5*m + 1 = -542*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(35) + sqrt(5040))*2*2)\/(sqrt(1008) + -2*sqrt(1008) + (sqrt(7) - (sqrt(7)*2*4 + sqrt(7)) - sqrt(7))))**2.\nAnswer: -416*sqrt(5)\/21 + 20576\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/6))\/s)\/s*(s*s*s*s**(-12))\/s)**(-7)*(s**(-2\/7))**(1\/44)\/((s\/s**(-1\/2))\/s)**(9\/11) assuming s is positive.\nAnswer: s**(35921\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w - 48 = -40*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 4. Let i = 5 + -4. Let d = -0.3 - -0.2. Which is the closest to 2? (a) i (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-593271)\/430)\/(-219)*(-10)\/24.\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1484153 * -0.14.\nAnswer: 207781.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-3 - 1) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 197 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcxtccctttt. Give prob of picking 2 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045921373 rounded to four decimal places?\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 805.24 + -818. What is t rounded to 1 dp?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -0.4 (b) -0.5 (c) 1\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 112439\/(-2061) - 8\/(-108)*-6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3368102, -3368074, -3368036, -3367988?\nAnswer: -3367930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -14*y + y. Let c = -2\/491 - 5870\/5401. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:11 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21576*s**3 + 930*s**2 + 465*s - 465. Let h(b) = 93*b**3 - 4*b**2 - 2*b + 2. Calculate 465*h(f) + 2*z(f).\nAnswer: 93*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q**1)\/((q*q\/q**(2\/7))\/q)**(16\/5) assuming q is positive.\nAnswer: q**(-221\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*w**2 + 107*w**2 - 491*w**2)*(3*w - 3*w + 6*w) to the form k + a*w + s*w**3 + m*w**2 and give s.\nAnswer: -2208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*k**3\/7 - 757719*k**2\/7 - 80037*k\/7 + 14295\/7 = 0 for k.\nAnswer: -953, -1\/5, 5\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:48 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6310, 12386, 18392, 24328, 30194, 35990, 41716?\nAnswer: 47372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**6\/48 + 7*c**5\/40 + 5*c**4\/32 - 25*c**3\/8 + 3204. Factor a(m).\nAnswer: -m**2*(m - 5)**2*(m + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 d, and 1 y when four letters picked without replacement from djeeekkyjyje?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(32 - -2 - -2). Let j = k + 40. Solve -3 = -j*s + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, 1 t, and 1 r when four letters picked without replacement from zgzizrjztzgg.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23.9203493 and 0.074?\nAnswer: 23.9943493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 390 + -376. Let n = 159 - 104. What is the remainder when n is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4340655\/33902 + -128 - (-4)\/134?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750000 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 - 8*u - 10. Suppose 2*m - 2*w + 2 = -4, -17 = 3*m + 5*w. What is the remainder when 19 is divided by i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udd when three letters picked without replacement from dduuddudududk?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(68) + sqrt(68))*6)**2 + ((sqrt(68) - (sqrt(68) + 1))**2 + 5)*-5.\nAnswer: 119922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Solve 4*k - m + 0 = 1, k - 4*m - i = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(280) - (sqrt(280) + sqrt(280) + sqrt(280) + (sqrt(280)*-3 - sqrt(280))))\/sqrt(8))\/(4*(sqrt(14)\/sqrt(2) + sqrt(7))) + 5.\nAnswer: 3*sqrt(5)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*w - 5548 = 0, -8*w + 7*w + 3 = 0. What is the highest common divisor of 695 and s?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from xcccccxceexccoccccc?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2209*n + 46725 - 64555 = -276*n + 61423 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9345 + -3?\nAnswer: 9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091782063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 2 = 28. Let x(r) = r + 1. Let v(n) = n**2 + n + 1. Suppose -2*k + 6 = 2*k - 2*z, -2*k - 4*z - 22 = 0. Determine k*x(i) + o*v(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:44 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/120*p**6 - 10*p**2 + 3 + 0*p - 5\/3*p**3 - 1\/12*p**4 + 7\/60*p**5. Determine o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2925\/6500)\/(4\/(2*20)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(28)\/(sqrt(20)\/(sqrt(45)\/sqrt(9))) - (((sqrt(140) + (sqrt(140) - sqrt(140)*-2) + sqrt(140) - sqrt(140))\/sqrt(4))\/(5*sqrt(5)*-1))**2).\nAnswer: -8*sqrt(7) - 224\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 48. Let d be (4\/(-6))\/(-2*2\/102). Let h be w(d). Sort -4, 3, h, 10 in decreasing order.\nAnswer: 10, 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 3, -2\/13, 0, -40, -2, 1 in decreasing order.\nAnswer: 3, 1, 0, -2\/13, -2, -40, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(209) + sqrt(209)*2 + sqrt(209))*-6*3)\/(sqrt(11) + sqrt(44)\/sqrt(4)*-3 - sqrt(1331)*2).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -5 + -2 + 80?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 14 = 3*t, t + 18 = 2*y. Find the third derivative of 18*i**2 + 6*i**4 + 7*i**4 + 6*i**4 + y*i**4 wrt i.\nAnswer: 648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-56) - 2\/7. Suppose 0 = -2*d - 3*d - l*d. Solve d = 7*z - 2*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 5 + 5*i**2 + 23 to v + b*i + g*i**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (7 - 3) - (2 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 292*i - 55. List the prime factors of d(13).\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/(-7) + (-14)\/49. Suppose 2*u = -2*i, 2*i = -2*i + y. Is 0.5 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.394946, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 110*i + 268. Determine v(-31).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/2*(-1 + -13). Let u = 110 + y. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -748, -2325, -5244, -9913, -16740?\n\"Answer: -68*n**3 - 59*n**2 + 10*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3912284 or -19561424\/5?\nAnswer: -3912284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39946328 + -5?\nAnswer: -39946333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.04 and 7170.\nAnswer: 287086.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.6369277 to 1 dp.\nAnswer: -208.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145527 divided by -48509.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 4*j + 4. Let d be r(-2). Put -1, -4, 2, d in ascending order.\nAnswer: -4, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5203215 (base 7) to base 15.\nAnswer: -c48d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92455726?\nAnswer: 2, 11, 467, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34248\/5 + 6850. Which is the third smallest value? (a) -5 (b) g (c) -23 (d) 1 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w - 3. Suppose g + w*r = 5*g - 33, -g - 5*r = -2. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/40 - c**4\/2 - 3*c**2 + 1. Factor o(g).\nAnswer: 3*g*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 148 = -5*n, -4*n - 55 - 298 = -5*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2 + 2*h - 6. Calculate y(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1644 and 14\/627.\nAnswer: 343596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 335 = 1597. Let j = -136 - m. Solve -i - 9 = j*z, 5*i + 5*z + 0 = -20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + (15 - (27 - 11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075499 rounded to 3 dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 4*q + 2*q)*(2 + 3 - 4) + (1 - 4 - 1)*(3*q + 2*q - 3*q) as u*q + o and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 33*g**4 - 5*g**2 - 5*g + 16. Let z(f) = 17*f**4 - 2*f**2 - 2*f + 8. Let c(q) = -2*a(q) + 5*z(q). Differentiate c(k) with respect to k.\nAnswer: 76*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -4*r + 84. Let s be ((-12)\/1)\/(4\/6). Let z = s - r. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3, 29, -0.11, -0.09?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/19, -1\/2, -1627, -6\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*w - 10983*w + 538533 = 150243 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c**2 + 55*c - 213. Is b(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -888725\nAnswer: 3\/888725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7143832 and 468448.\nAnswer: 28575328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15634 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80d7 + 4?\nAnswer: 80db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 61)*(-8)\/((-200)\/15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - 0)*(-1 - 2\/(-4)). Let i(y) = -30*y + 2. Let h be i(3). What is the common denominator of 11\/20 and 62\/h - (-24)\/r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**4 + 3*f**3 + 407*f**2 wrt f?\nAnswer: 288*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (29 - -23) + -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 36 = 2*h, -24 = -10*r + 8*r - 4*h. What is the greatest common factor of r and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4125*w - 2620*w + 1588*w to v*w + b and give v.\nAnswer: 3093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101101 - -100001010?\nAnswer: 1011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**2 + 3311*s - 3311*s - 18 to the form h*s + n*s**2 + j and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 6, i: 3, z: 5, j: 2, d: 3}. What is prob of sequence jizz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a - 325*a - 61178 - 36722 = 1530*a for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-49)\/51 + 1)*(-1178)\/76. Let m = 1\/17 - b. Factor 8\/3*p**2 + 4\/3 - m*p**3 - 10\/3*p.\nAnswer: -2*(p - 2)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399083378.\nAnswer: 2, 131, 1523219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 497215140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.4 (b) 0 (c) -9.6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 1 - 1 + 2*f)*(-17 + 38 - 19).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161801\/3096 - -2212\/43. Calculate the common denominator of t and -107\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2031, -1\/11, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*u - 3996 - 921 = -1245 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/7, -2\/9, -2, -5, -0.7 in descending order.\nAnswer: -2\/9, -0.7, -2, -5, -41\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*(l*l**(-2\/9))\/l*l)\/(l**1*l*l**3*l) assuming l is positive.\nAnswer: l**(-311\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9*a - 255 = -4*a, 4*a + 152 = 3*m. Suppose 0 = 5*i - 82 - 8. What is the remainder when m is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9607 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(-20)\/((j\/j**0)\/j)**2)**(-5\/3) assuming j is positive.\nAnswer: j**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 + 756*t - 47628 = 0. What is t?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 271*p**2 + 33855*p + 1101. Give y(-364).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(21\/7)\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2 - 7*o**2 - 70*o**3 + 7*o + 38*o**3 + 33*o**3. Give j(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let x(k) = 8*k**2 + k**2 + 7*k**2 - 3*k**2. Give g(x(r)).\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 2715.\nAnswer: 2714.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -18*d**3 - 8*d**2 - 6*d - 5. Let y(f) = -f**3 - f**2 - f - 1. Let v(t) = b(t) - 6*y(t). Give v(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493419 is divided by 689.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5965 + 5308. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 225*z**2 - 126. Let j(a) = 9*a**2 - 5. Let u(v) = -99*j(v) + 4*q(v). Find the first derivative of u(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of ((-301)\/172)\/(2\/(-4576))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 2. Let q be p(-10). Suppose 5*r - r + q = 0. Let z(x) = -x**3 - x**2 + x - 2. Let c be z(r). Solve 0 = -3*g + 3*u + 2*u - 37, u - 5 = c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8723 - 2909 + 494*d**2 + 130*d**2 - 2904 - 2910.\nAnswer: 624*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 8, g: 2}. Give prob of picking 1 g, 2 v, and 1 k.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -8, 137 = w - 5*z. Calculate the remainder when w is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -378474, 2\/17, -4\/3 in increasing order.\nAnswer: -378474, -4\/3, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9.1. Let j(g) = 3*g**2 + 13*g + 16. Let t be j(-4). What is the nearest to y in t, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000827795 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9318170\/11 or 847105?\nAnswer: 9318170\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8550099 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 + 135 = 0. Let v = -14 - g. Calculate the highest common factor of 99 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -23. Solve a*l - 22 = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001100111111 (base 2) to base 6\nAnswer: -140423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-3)\/z*z*z)\/(z\/z**(2\/3)))**9 assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 2*t**3 + t**3)*(-93 + 113*t + 93).\nAnswer: -226*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)*(-5 + 1). Let d be 61\/7 + j\/28. Suppose 0 = 5*z + 2*i - 22, 2*z = i + d - 2. Let t(h) = h**2 - 3*h + 3. Give t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-5\/7)*(i*i\/(i**(-11)*i*i))\/i assuming i is positive.\nAnswer: i**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325067 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7)\/n*n\/n**24*n assuming n is positive.\nAnswer: n**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 27*r**2 - 12*r - 143. Calculate k(-28).\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y**0 assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 5)\/((-9)\/6). Let m be -1 + -2 - (-6)\/x. Solve m*c + 25 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.603 and 5.63.\nAnswer: -14.65489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/((-2)\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 294?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 - 9*v**2 - 184*v - 138. Let l(k) = -k**3 - 3*k**2 - 67*k - 46. Give 11*l(x) - 4*m(x).\nAnswer: x**3 + 3*x**2 - x + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**3 + 3*a**3 + 2*a**3)*(2*a + 29*a + 6*a)*(237 + 161 + 2 - 21)*(0 - 2 + 1) to the form p + s*a**4 + n*a**3 + o*a + w*a**2 and give s.\nAnswer: -14023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n - 2*n)*(-50377*n + 2712*n - 446 - 446 - 32567*n + 892).\nAnswer: 160464*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose -m + o = v - 8, -5*m = -v - 1. Solve v - 29 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s**(2\/7)*s**8*s**5*((s**(-3\/4)*s*s*s)\/(s\/s**(-4\/9)))\/(s**(-7)*s*s**(2\/3)) assuming s is positive.\nAnswer: s**(5399\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p**3 + p**3 + 2*p**3)*(0 + 0 - 1) - 13*p - 11*p**3 + 13*p + (-3*p + 5*p - 3*p)*(p**2 - 2*p + 2*p))*(-35 + 35 - 5*p**2).\nAnswer: 70*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)*l*l*l*l*l*l**(-5)\/l*(l**(-1))**(-36\/5) assuming l is positive.\nAnswer: l**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Let c(k) = 2*k**2 - 9*k - 1. Let n be c(r). Suppose -5*m + 45 = -5*b, b = -n*m - 2*b + 1. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by -2.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/((-6)\/9). Let u be (-18)\/(-15)*5\/2. Let z = -1.5 + 1. What is the second smallest value in u, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1547*g - 41614. Determine h(-27).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 632*h**2 - 634*h**2 - 2*h + 2*h**4 + 0*h**4 - 2*h**3 to the form d*h + m + s*h**3 + u*h**2 + w*h**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13448884, -13448886, -13448888, -13448890?\nAnswer: -13448892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-2)\/(8\/20))*1. Let k be 0\/(1 + (1 - 3)). What is h in -i*h + k + 1\/5*h**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -2616.7?\nAnswer: -523.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 697 + 13155. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*q + 3*c + 327, -c = q - 343. What are the prime factors of q?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/9)\/(-28))\/(4\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Let a = -5 + k. Put a, -3, 0 in increasing order.\nAnswer: -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 15. Let k be s(-7). Is ((-5181)\/(-22))\/(k\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126790 (base 11) to base 10\nAnswer: 199265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5\/(-1) + 2 + 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107662, 107655, 107644, 107629, 107610, 107587, 107560?\n\"Answer: -2*x**2 - x + 107665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 12 = 8*m. Let c be 11 - (-2)\/((-2)\/m). Suppose -c = 2*p - 10. Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 31 - 24*w to y*w + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 - -4) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/3 + 31*q\/3 + 130\/3 = 0.\nAnswer: -26, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/3)*l\/(((l\/(l\/(l**(-2\/5)\/l)))\/l)\/l)*l*l assuming l is positive.\nAnswer: l**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71515, -71538, -71577, -71632, -71703, -71790?\n\"Answer: -8*w**2 + w - 71508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + ((-6)\/3 - -2). Let l = r + 9. Suppose -3*i + 13 + 14 = l. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -18, -27, -38?\n\"Answer: -s**2 - 4*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 + t - 7. Suppose 4*a = -3*n + 27, -3*n + 1 = -2. Let f be p(a). Let i = -0.6 + 0.4. What is the second smallest value in 4, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39557737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -w + y - 4*y, 17 = 5*w + y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3061, -6807 in descending order.\nAnswer: -0.3, -3061, -6807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*u - 559*h**2*u - 831*h**2 + h*u - 817*h - 3405*u wrt h?\nAnswer: 12*h*u - 1118*u - 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5*y - 10. Let q be r(7). Let s be 5 + q - 3\/1. Solve -d - s = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 6) to base 4.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*i = 5, 3*y - 3 = 5*i - i. Let u = 5 - y. Determine n so that u + 4\/9*n**2 - 2\/9*n - 2\/9*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 627\/2 in -1\/13, 0.2, -2.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 14. Let i be v(3). Let f = -19 - i. Calculate the greatest common divisor of f and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 9:03 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205625?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 53. Let z be w(10). Solve -5*h + z*x + 13 = 0, -h + 5 = h - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 773683081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((-32)\/50400*21)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 12. Let l(a) be the first derivative of -2*a**3\/3 - 22. Give l(s(w)).\nAnswer: -18*w**2 + 144*w - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14816242, 29632464, 44448688, 59264920, 74081166, 88897432, 103713724, 118530048?\nAnswer: 133346410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10365, 10, -8.\nAnswer: -10365, -8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -779 - -799. Calculate the greatest common factor of 50 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680209 less than 4.309354?\nAnswer: -680204.690646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28423217\/156 + -182201. Find the common denominator of 133\/12 and r.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 682 - 370. Calculate the remainder when p is divided by 116.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*v + 10, v + 6 = 2*p - 4. Suppose -p*h = -6 - 9. Let s(b) = 3 - 1 - h. Let o(z) = -z - 2. What is -o(u) + 3*s(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312 - -291. Let l be ((-77)\/w + 3)*(-12)\/10. What is the nearest to 1 in l, 1\/13, -5\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 3*f = 29, -46 = -4*k + 2*f. Let x be ((-95)\/(-25))\/(2\/k). Suppose -4*g = -407 + x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 divided by -3?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 4*t**2 - 4. Let u(h) = -3*h**3 + h**2 + 4*h - 5. Let g(o) = 7*o**3 - o**2 - 9*o + 10. Let v(a) = -4*g(a) - 9*u(a). What is -5*d(s) - 4*v(s)?\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-3)\/(1668\/8)). Let t = m + 266. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(3) - sqrt(3)*2))\/(1*sqrt(320)).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofkw when four letters picked without replacement from {y: 3, k: 4, o: 7, w: 2, f: 2}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) + 5\/(315\/266). Solve -3*u + 0*u = 3*w, -2*u + l = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168597227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2 + 2)*(-3 + 3 - 1266*m**2 + 4135*m**2).\nAnswer: 2869*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 5*l**2 + 6*l**2 + (6*l**2 - 3*l**2 - 2*l**2)*(-4 + 1 + 1) to the form d*l + r*l**2 + g and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -583, -2137, -5167, -10159, -17599?\n\"Answer: -81*h**3 - 9*h**2 + 30*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412 (base 5) to base 7.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 935727, 935733, 935751, 935787, 935847, 935937, 936063, 936231?\n\"Answer: a**3 - a + 935727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13519612.1 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 268\/(-26) - ((-322)\/14950*5 + (-5)\/25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28109\/2 - 14056. What is the nearest to -0.1 in -2\/7, -1, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33118 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1006, -5, 738298 in descending order.\nAnswer: 738298, 1006, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1743*q**2 - 2*q - 133025.\nAnswer: 3486*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 0.05 (c) 1\/153310\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*o + 3*v = 11, 2*v - 5 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5613026070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4) + (-143)\/396?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14345 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/25)\/(6\/10))\/((-12994)\/(-32485))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 21*v + 5. Suppose q + 2*w = -3*q - 58, 5*q + 65 = -4*w. Let k be t(q). List the prime factors of 129*2*(-21)\/k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59, -0.6, 60, -1.8?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119239 + -39690. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:02 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/60 - 5*s**4\/8 + 4*s**3\/3 - 39*s**2 + s. Calculate the remainder when 77 is divided by l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -160549.\nAnswer: 7\/160549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3 = -5*c + 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y - 2. Let u be k(-1). Suppose u*r = r + 876. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = 41*y - 3904. Calculate the remainder when 166 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -142?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.29 - -0.09. Let j = -3 - r. Which is the nearest to j? (a) 4 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/13)\/((t\/t**(-7))\/t)*(t*t\/(t*t**0))**41 assuming t is positive.\nAnswer: t**(440\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m + 20. Suppose 4*g - m = 5*l, 0*g + 14 = -2*l + 4*g. Suppose -18 = l*p - 84. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5 - 9. Suppose -3*r + 3 = 0, 6*t - 3*t - 10 = -s*r. Sort -0.7, t, -4 in decreasing order.\nAnswer: t, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 q when three letters picked without replacement from {s: 4, z: 2, x: 1, q: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11874, 23735, 35564, 47343, 59054, 70679, 82200, 93599?\n\"Answer: -3*u**3 + 2*u**2 + 11876*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*p + 4*v, 4*p - 6*p + 1 = 5*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let p(i) = 4*i**2 + 2. Let a(m) be the second derivative of -m**4\/2 - 3*m**2\/2 + 4*m. Give f*a(z) - 8*p(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -71. Let z = 37.9 - 52. Let y = -15 - z. What is the smallest value in -2, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 10, 9, 8, 7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115032668 to the nearest integer?\nAnswer: 10725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - 3*c - 51*c**3 + 3 + 46*c**3 + c - 2*c**2 to l*c**4 + r*c + o*c**3 + d*c**2 + a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 80*l**2 + l - 2. Let k be 1710\/(-33) - 4\/22. Let s = k - -53. Is f(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9132290 at least as big as -9132292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/7, 51?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -1189. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70.8 - 3475.\nAnswer: -3404.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 124, 1, 3 in descending order.\nAnswer: 124, 11, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Let h = 205 - 192. Let m(j) = 8 - 21 + h + 10*j. Calculate m(n(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 26*w + 1. Calculate the remainder when 106 is divided by u(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 12:57 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 9. Let a = p - -5. What is the second derivative of 3*s + 2*s**5 - 4*s**5 + 3*s**a wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1454303477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0616 + 113256.02\nAnswer: 113255.9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0614 and -17.72.\nAnswer: -17.7814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -278e69?\nAnswer: 278e69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7823?\nAnswer: 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:11 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d**16)\/d*d)**(2\/17)*(d**(-18\/11)\/d*d)**(-14) assuming d is positive.\nAnswer: d**(4702\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 18*s = 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3 - 3*h**2\/2 + 6*h + 10. Factor n(l).\nAnswer: -3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 - 13*s - 9. Let u be i(-6). Suppose -u + 1193 = 4*m. Suppose 4*g + g = m. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48736.54 centuries to decades.\nAnswer: 487365.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/2 - 195*i\/2 - 99 = 0?\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -77*v + 53*v. Let o(d) = 2*d + 2. Let l(i) = 2*i + 3. What is v*o(p) - 5*l(p)?\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24781 - 24742. Calculate the lowest common multiple of z and 2355.\nAnswer: 30615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u + 4*u - 2*u + 0*u - u + (-2 + 5 - 1)*(3*u - 3*u - 2*u) - 4*u + u + 5*u + 2 - 6*u - 2 - 2*u + 1 - 1.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 - 48*m**3 + 178*m**2 + 228*m = 0.\nAnswer: -1, 0, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -168904306.6 plus 0.94?\nAnswer: -168904305.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -293*a + 587 + 385 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**3 - m - 2. Let o be q(-1). Suppose 6*x = o*x + 5268. Is 22 a factor of 4\/16 + x\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77\/8 + 33\/8. Let k = -151\/26 - n. Let v(j) = j - 5. Let c be v(6). Which is bigger: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -10*j**3 - 11*j**2 + 18*j - 31. Let x be b(11). Let l = 9596264\/663 + x. Is l greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 552 and 40?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + -9)*(-2)\/4. Suppose f*u + 0 = 12. Let q(t) = -t**3 + 2*t**2 + 3*t. Let b be q(-2). Solve -u*m = b - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*a + 2 - 3*a**2 + 54*a**2 + 42*a + 36*a to the form l + j*a**2 + q*a and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 10*y**2 - 4. Let p(m) = -m**3 + 24*m**2 - m + 25. Let v be p(24). Let k be v*(-35)\/(-28)*8. What is d(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 132, 365, 706, 1155?\n\"Answer: 54*h**2 - 37*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 520117153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305700 - -134?\nAnswer: 306034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1827 and 0.18.\nAnswer: -1826.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2817, -2820, -2823, -2826, -2829, -2832?\n\"Answer: -3*j - 2814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -300333 (base 4) in base 11?\nAnswer: -23a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -12. Calculate the common denominator of 32\/9 and (-8)\/j*(-639)\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1137433 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 3*i**4 - 3*i**4 + (-i**3 + 4556 - 4556 + 65*i)*(-4 + 2 - 3)*(-i + 3*i + 0*i).\nAnswer: 12*i**4 - 650*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8756.894 centimeters?\nAnswer: 87.56894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 343450401 (base 6) to base 4\nAnswer: 120022330201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = -x + 8, 5*x + 5*s + 60 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*r - 1329*r - 1188*r + 3279*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 - 4*p**3\/3 - 9*p**2\/2 - 5*p. Suppose -2*l + 0*l + 20 = 0. What is the tens digit of m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-1)\/(-1))*3\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -1\/3, 10\/11 in descending order.\nAnswer: 10\/11, -1\/3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/26 + -11 + 22)\/(26\/(-676))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*j + 2, x + 8 = 3*j - 3*x. Let s(t) = -36*t**2 + 75*t - 5. Let q be s(2). What is the nearest to j in -2, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - j - 14 + 63 = 0, -11*y - j = 36*y - j + 3*j + 561 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81668201 - 19*y + 81668201.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 9*a**2 - 17*a + 2. Calculate the remainder when q(-8) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -146*i**5\/3 - 3938*i**4\/3 + 912*i**3 + 179216*i**2\/3 + 313952*i\/3 - 2912 = 0.\nAnswer: -26, -6, -2, 2\/73, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2*1*sqrt(208))*5*4)**2*-5.\nAnswer: -1682000 + 96000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -774366, -5\/4, -3\/29 in descending order.\nAnswer: -3\/29, -5\/4, -774366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5963 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -23*j**2 - 1420*j - 2816. What is y(-2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10417823.\nAnswer: 13, 801371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -73472.4 + 3467205?\nAnswer: 3393732.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23102550 (base 6) in base 4?\nAnswer: -2230322202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 2*l - 5. Let t be v(0). Let g be -2*-1*15\/(-6). Is g > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**2 - 2*k - 1. Let p be q(1). Let v be (1 - (-170)\/4) + 9\/p. Find the second derivative of t**4 + 10*t**4 - 76*t + v*t wrt t.\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 932\/11 (b) 10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1013*m + 2 - 2 - 1014*m. Let g(s) = s + 2619. Calculate g(k(d)).\nAnswer: -d + 2619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - -2) - -8 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4 - 6 - 3*h)*(3 + 3 - 4).\nAnswer: -2*h - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 5*n**2 - 2*n - 2. Let h be -2 - (0 + 2) - 1. Let l be o(h). Suppose -l*w = -4*w - 20. Which is the nearest to 0? (a) 4 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87446932 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -76. Let f = l + 44. Let y be 1*(2 - 5) - -2. Put -1\/7, f, y in descending order.\nAnswer: -1\/7, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10657332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5\/4*g + 0 - 1\/4*g**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -35*u**2 - 319*u - 11. Give n(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/12 + 11\/(-66). What is the nearest to -1 in 1\/6, 5, a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11853 + 13*j + 11852 - 23705 - 23*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - 4*h)*(-4*h**4 + 5*h**4 + 7*h**4).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -2*a + 7*t + 413, -5*a = -4*t - 1043. Calculate the greatest common factor of 630 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times 13\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.3 and -103.3.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(4\/9)\/n)\/n*n*n\/((n*n**(-1\/9))\/n)*n)**(1\/7))**28 assuming n is positive.\nAnswer: n**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(605)*-5*6)**2 + 1 + (sqrt(605) - (sqrt(605) + -1 + 1 - sqrt(605))**2) + -4.\nAnswer: 11*sqrt(5) + 2177997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 16*i - 8. Let q be k(15). Suppose 0 = -q*t + 530 + 23. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2220072 to 3 decimal places.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -655 - -871. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6773304?\nAnswer: 2, 3, 282221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-665)\/(-114))*(-2)\/(-12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z + 3. Let v be o(4). Suppose 9 = 3*a + 3*n, 0 = 2*a - 0*n + 5*n - v. Solve 3*g + 13 - 1 = a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 j when three letters picked without replacement from {q: 3, j: 3, v: 2, h: 5}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 712*g**5 + 347*g**5 - 274*g**5 + 2*g**5 + 2*g**5 - g**5 + (-g**2 + g**2 + g**2)*(-g**3 + 4*g**3 - 2*g**3) - 3*g**2 - 2*g**5 + 3*g**2.\nAnswer: 787*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867*c - 18769 = -2468*c + 94621 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1770 - 1770 + 38*l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) 0.5 (d) -0.1 (e) -3\/28 (f) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.1 (b) 665 (c) 0.06 (d) -38 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, r: 10}. What is prob of picking 3 r?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.68 + 18. Let y = 0.08 + i. Suppose -2*g = -4*g + 2. What is the nearest to g in -2\/7, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891162 is divided by 445538?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(-4 + (2090\/(-20))\/(-19)). Which is the closest to p? (a) -0.42 (b) -5 (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1824 and 4512.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 4*d - 2. What is b(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**3 + 6*r**2 - 5*r + 8. Let z = -6 + 12. Let l(o) = -28*o**3 + 17 - 11*o + 13*o**2 - 5*o**3 + 18*o**3. Determine z*l(w) - 13*y(w).\nAnswer: w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 19*x + 21*x + 19 + 11 - 8. Does 29 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316.36 + 325. Let x = r - 7.64. Which is the third biggest value? (a) 3 (b) x (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20013812 is divided by 194?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15288 + 13565.4. What is o rounded to the nearest 10?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-39)\/36 - -1)*3. Let u = -68\/7 - -115\/14. Put u, 4, y in descending order.\nAnswer: 4, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24087030)\/(-78) + -7 - (-1)\/(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 147?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 5*m**4 - 5*m**4 + (-1 + 0 + 0)*(0*m**4 - 2*m**4 + 3*m**4) + (m - 5*m + 3*m)*(-m + m - 6*m)*(-63*m + 63*m + 3*m**2).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1089172 and 49?\nAnswer: 1089172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -24. Which is bigger: -2\/51 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*x - 980, 0*m + 2*x - 563 = -3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2317436\/837)\/44 - (-4)\/54.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002788 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 19*o - 14. Calculate a(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 + 5*a - 6. Let y be q(-8). Suppose 0 = 2*l + 6, -p + y = p - 2*l. Does 15 divide p\/15*(6 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4 - 798*t**3 + 595*t wrt t.\nAnswer: -36*t**2 - 4788*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 15 = -g + 4*o - 7*o + o, -43*o = -2*g + 215 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -255858700 to the nearest 100000.\nAnswer: -255900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -13881\/44, -75\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3708.6 and -7.\nAnswer: 25960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y, 4*a - 108476 = 35*y - 39*y. What are the prime factors of a?\nAnswer: 3, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1716, 3943, 6644, 9807, 13420?\nAnswer: 17471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -14*q + 10. Suppose l - q = 1. Let k be 1\/(0 + 1\/(-5)). Sort k, -4, l in decreasing order.\nAnswer: l, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 26*j. Let c(h) be the second derivative of 1\/6*h**3 + 8 + 8*h + 0*h**2. Give c(q(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*(1*sqrt(90) + sqrt(90) - sqrt(90)) + sqrt(90) + sqrt(90))\/sqrt(2))*-3.\nAnswer: -15 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -27. Let l = f + -13. Let j = -3 + 5. Solve 3*v = -j*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 7*l - 2*l + l + 4*l - 3*l + (0 - 4 + 2)*(2*l + 3*l - 3*l) + l + l - l)*(-2 + 1 + 4)*(264*l**2 + 421*l**2 - 38*l**2).\nAnswer: 3882*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94256369622 - 94256370422.99999619. Let g = s + 801. What is g rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g, a - 4*g = -2*a + 3823. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60139 = -y - 3*p, 4*p - 6*p = 14*y - 841786. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 3*s + s - s - s + s + (0*s + 3*s - 2*s)*(-3 + 3 - 2) + 19*s + 4 - 4.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 119*a**2 - 93*a - 24854. Give y(-118).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {m: 11, g: 9}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-12\/11))\/(d**(-11\/7)\/d))**(-7) assuming d is positive.\nAnswer: d**(-359\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.054861 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 - 13*s + 7. What is g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4101 - 26654?\nAnswer: -22553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 44. Let q be a(17). Let j be -1*(-1 + -2 + q). Let u(o) = -o + 6. Give u(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbwfjgbbbggbwbggbb. What is prob of sequence wg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 87 + 55 + g**2.\nAnswer: g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/6 + 9*v**2 - 2*v. Let q be n(21). What is the units digit of (-2 + 24 + q)\/((-3)\/(-33))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-16) + 217\/56 + 0. Suppose -c*v = -7*v + 5*r + 2881, -3*r = 15. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 f when three letters picked without replacement from {u: 3, f: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 2. What are the prime factors of q(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*y - j = 219*y - 3, 9 = 5*y + 3*j. Let l = 56 + -101. Let b = y - l. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**2 + 14 - 18*j**2 + 10*j**2 + j. What is k(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188 + -20. Let y = q - -208.5. Let j = -37\/4 - -9. Put j, y, 3\/2 in increasing order.\nAnswer: j, y, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(1053) + sqrt(1053).\nAnswer: 4 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9898*h**3 - 3*h**2 + 7*h - 5. Is u(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5774, -22 in ascending order.\nAnswer: -22, 4, 5774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*k + 66*k + 65*k + 65 + 77 to s + t*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 2 + 0*r**4 + 0*r + 1\/15*r**5 - 40*r**2 + 0*r**3. Let l(a) be the second derivative of a**4\/4 - a. Calculate l(f(u)).\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12650 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + d)*(-4*d**2 + 3*d**2 + 3*d**2) - 227*d**3 - 1084 + 1084.\nAnswer: -225*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5 + 65*i**4\/12 + 2167*i**2 + 4583*i. What is the first derivative of l(h) wrt h?\nAnswer: 60*h**2 + 130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001909648 rounded to 7 decimal places?\nAnswer: 0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 27790554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255135293.\nAnswer: 3, 139459477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-9 + 20 - (20 - 7))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*(-8)\/(-80)*4*(-95)\/152.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51119? (a) -1\/7 (b) -2\/9 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 50*h - 197. Let u be a(4). Let t(d) = 4*d - 1. What is t(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.18 - -30.08. Which is the closest to t? (a) 2 (b) -3\/4 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 100*f**2 + 40*f - 354. Determine s(2).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 7085.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 1102 + 4421. What is j rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 2940694?\nAnswer: 10\/1470347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 134*v**2 - 303*v + 52. What is the remainder when g(64) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)\/(b**(-4\/13)\/b)*(b*b**(-2))\/((b*b\/b**(-2\/17))\/b) assuming b is positive.\nAnswer: b**(-2168\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -2\/3, 0.3, 2\/23, 2\/39, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/12 + 5*r**3\/3 + 14*r**2 - 2136*r - 2. Calculate m(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72\/43 or -2?\nAnswer: -72\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + (1 - (6 + -5)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + 0 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 2 + 5 - (sqrt(704) + 4 + sqrt(704)*-1))**2 + 5.\nAnswer: 48*sqrt(11) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.171362861 - 6.\nAnswer: -3.828637139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-3))\/((-48)\/104)*54\/90?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 1, w: 2, a: 2, r: 10, z: 1}. Give prob of sequence wz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 780202 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/7 - 824*x**2\/7 + 75154*x\/7 - 74328\/7 = 0.\nAnswer: -489, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 + 91 + 15 + -9.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 10}. What is prob of picking 2 o and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -2, -81.\nAnswer: -81, -2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-30) + 54\/(-40). Suppose -5*r + 7 = -13. What is the closest to -6 in -0.3, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/6)*u)\/u**(2\/7))\/(u**(2\/5)\/u*u**(-3)\/u))\/(((u\/(u\/u**(-4)))\/u**(1\/2))\/((u\/u**(2\/5))\/u**(2\/9))) assuming u is positive.\nAnswer: u**(3263\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyytyyyyyt. Give prob of picking 1 n and 1 y.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 221012 (base 4) to base 7\nAnswer: 10445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.414 smaller than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - -4*(sqrt(189) - sqrt(21)))\/(sqrt(28)*-1)*-1.\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 + 2*o + 3. Let j be l(6). Suppose -2*f - j = -7*f. Solve 1 = f*i + 5*p + 2, 5*i = 2*p + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14912.70669us to weeks.\nAnswer: 0.000000024657253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {z: 6, b: 2, s: 5, t: 5, l: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259427.\nAnswer: 7, 37061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7)*2*-2 + 2 + (-1*sqrt(7))**2.\nAnswer: -4*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225412 and 3267440?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 12*h + 39. Is w(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-5*j**5 + 4*j**5 + 7*j**5 + (-5*j**4 + 2*j**4 + 4*j**4)*(2 - 2*j - 2) - 3*j**3 + j**5 + 3*j**3 - 50*j - 30*j**5 + 50*j).\nAnswer: -25*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3 + 2. Suppose -2*x + 7 + 3 = 0. Suppose -x*z + 80 = -5*u, 2*z + 0*z - 5*u - 41 = 0. Solve l - 3*g = z, 0 = -5*l - g - 0*g + w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3 - 400*r**2 = 0.\nAnswer: -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*d**2 - 78*d**2 + d**3 + 30*d - 30*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70861\/18 - -31485\/8. What is the common denominator of o and -39\/5?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d**3 - 62*d - 11 + 1\/2*d**4 - 7\/2*d**2. Differentiate w(a) wrt a.\nAnswer: 6*a**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*x - 137*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2. Let c = 105 - 88. Let l(k) = -c*k - 14*k + 29*k. Determine x(l(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2232*y + 102669. Give c(46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*r = 59, 2*r - 87 = -3*f - 26. What is the remainder when f is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1272 + 1284. Calculate the smallest common multiple of 306 and i.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33053047 rounded to the nearest ten thousand?\nAnswer: -33050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 493, 752, 1029, 1330, 1661, 2028?\nAnswer: 2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101*(3133\/39 + (5\/3 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35962 - 3002 = -300158*s + 300922*s for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*t = 0. Solve 0 = -4*m - t*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46148 divided by 143.\nAnswer: -46148\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -913662 <= -913658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 11087302*b\/3 + 30732066409801\/3.\nAnswer: (b - 5543651)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + sqrt(44) + -4)*4 + sqrt(176) + 0 + sqrt(176) + sqrt(176) + 3 + (sqrt(176) + (1 + sqrt(176) + 0 - sqrt(176)) - sqrt(176)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:36 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031 (base 8) to base 9.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 + -0.549893. What is o rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000100001 + -1011111?\nAnswer: -1101010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1640 or -5?\nAnswer: 1640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyqq. What is prob of picking 1 q and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/2733 and -73\/84564?\nAnswer: 77037804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16664528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 82110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10*1)\/2 - (-743 + (-616)\/(-28)) is divided by 283?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3414 + 2173. Let n = j + 1253. What is the remainder when (-554)\/(-6) + (-2)\/(-3) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -3*d**2\/2 - 32*d + 9. Let m be q(-13). Solve 15 = -2*i + m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1157, -1143, -1143, -1163, -1209, -1287?\n\"Answer: -h**3 - h**2 + 24*h - 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -19998*z**3 + 3*z**2 + z. Let h = -37 - -35. Let q be (-1)\/((h + -1)\/(-3)). Let s be x(q). What is s rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.67352 micrometers in nanometers?\nAnswer: 44673.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/216)\/(4*(-7)\/(-56))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*t + 205*t - 81. Let l(c) be the second derivative of 0 - 5\/2*c**2 - 17\/6*c**t + 25*c. What is the derivative of l(s) wrt s?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 + -1.62?\nAnswer: -229.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hll when three letters picked without replacement from {h: 4, l: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**3 - 21*i**2 + 20*i - 22. Let p(x) = -5*x**3 + 10*x**2 - 10*x + 12. Let u(a) = -9*p(a) - 4*r(a). Give u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -11835*z - 4204. Is x(-55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375906.7ml to litres.\nAnswer: 375.9067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.7599 - -48.208. What is u rounded to two dps?\nAnswer: -3.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 2687 = -311. What is the lowest common multiple of 144 and s?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 60, -0.1, 2, 4 in ascending order.\nAnswer: -1, -0.1, 2, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5069, 1\/5, -3565, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278286 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**2*b**(-3\/5))\/(b**(2\/5)*b)**(-2\/25))\/((b**(-1\/2)*b*b**(-2\/7)\/b)\/(b**1)**(-1\/60)) assuming b is positive.\nAnswer: b**(44951\/10500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*x = 243, 4*x - x - 459 = 4*c. Let s = 120 + c. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72262 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: Express -4*w**2 + 15*w**2 - 3*w**2 + 15*w**2 in the form n*w**2 + x*w + u and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 6:20 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*a**3*i**2 - 1687*a**3*i + 441*a**3 + 203*a**2*i**2 + 135606*a**2 wrt a?\nAnswer: -426*i**2 - 10122*i + 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, -44, 723, -1 in decreasing order.\nAnswer: 723, 1, 0, -1, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g. Let y(u) be the first derivative of 3*u**4\/4 - 7*u**2\/2 - 4. Let d(i) = 5*r(i) - y(i). What is the second derivative of d(f) wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (0 + 8 + -15 - -10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3716564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 19 + 270*k**2 + 5 - 265*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1970 and 250?\nAnswer: 49250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*d = 5*k - 16, 4*k + 2*d - 34 = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**7\/840 - 7*d**6\/360 - d**5\/60 + d**4\/6 + 5*d**3 + 3*d**2. Let k(x) be the first derivative of s(x). Calculate k(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2165 - -2381. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236 + -219. Let d be ((-5 - -9) + 1996)*i. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let l(u) = 0*u**2 + u**3 - u - u**f + 0 + 1. Determine l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 17*n**2 + 27*n + 28. Let g be f(-16). Let s = 314 + g. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 11\/(-4))*20. Suppose q - n = -2*q. Find a such that 0*a + a + 14*a**3 - q*a + 10*a**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31193 or 93577\/3?\nAnswer: 31193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 3:11 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13626 = -o - 5*f + 34145, 2*f = -2*o + 40998. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*o**3 + 32*o**2 + o + 7513.\nAnswer: -111*o**2 + 64*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*a**2 - 6*a**5 - a + 115*a**2 + (2*a + 0*a - 3*a)*(3*a**2 - 3*a**2 + a**4))*(5 - 1 - 3 + 5 - 2 - 1 + (-2 + 1 + 0)*(3 + 3 - 4) - 1 + 0 - 1).\nAnswer: 7*a**5 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -378.97015 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248376553 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*u + 1796, 3*u - 584 = -3*j + 781. Let t = j + -448. Calculate the least common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**38\/(n**1)**(2\/27) assuming n is positive.\nAnswer: n**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*b**3 - 1066*b**3 + 556*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -32, 1\/5, -3, 0.3 in descending order.\nAnswer: 5, 0.3, 1\/5, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 12) + (8 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -127, -129, -131, -133, -135?\n\"Answer: -2*b - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 > 33436\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 7) in base 2?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385 - -383. Let v(f) = f**2 + 8*f + 8. Let b be v(k). Is b != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9552 + 10560. What is the greatest common divisor of o and 6768?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdyqqqyqvdqvqvq. Give prob of sequence yyvd.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*a**3 - 1168*a**3 - 3*a + 0*a.\nAnswer: -803*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(76) + sqrt(76) + sqrt(76))*-6)\/sqrt(4) - (4 + sqrt(190)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: -35 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + t - 27*t)*(0 + 0 + 2)*(-15 + 4*t + 5 - t) + 6*t**2 - 8*t**2 - 6*t**2.\nAnswer: -212*t**2 + 680*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4330 + -4287. What is the greatest common divisor of l and 3483?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/5*50\/(-225)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5)*1)**2*1*6 - ((sqrt(5) - ((sqrt(80) + 4)**2 - sqrt(80))) + (sqrt(5) - (sqrt(180) + 4))).\nAnswer: -80 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752868.\nAnswer: 2, 13, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6 - 2*g**2 + 0*g**2 + g**2. Suppose -n + 5*q = -10, -224*q + 228*q = -n + 1. What is t(n)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 445676 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 28*s**2 + 31*s + 66. Calculate b(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 7 - 4, -3*t - 59 = -10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f. Suppose 3*h = -2*h + 75. Suppose -30 + h = -j. Solve f = 2*t + 2, 0*o - 2*o + 5*t = -j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 34*n - 2*n**2 + 3*n**2 + 11*n - 3*n**2. Let g(q) = 2*q**2 - 8658174 + 8658174. Determine g(z(l)).\nAnswer: 8*l**4 - 360*l**3 + 4050*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-2 + -3)) + (-33 - -24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 217. Let b = s + -49. Let j = 171.99921 + b. Round j to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79.57724 * -5.\nAnswer: -397.8862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 3 in ascending order.\nAnswer: -3, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -0.2, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 - 5*n**2 - 6*n + 4. Suppose -z - 4*z - 21 = -h, 5*h - 1 = -z. Let i = h + -4. Let t be m(i). What is the highest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*g + 19 - 0, g + 4*r = 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 5*n - 2. Let q be h(3). Let y(k) = -k**2 + 7*k + 2. What is y(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1306246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttthtttttttttttttt. Give prob of sequence ht.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 33. Give q(37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:27 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187869?\nAnswer: 3, 11, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = -19. Let h(k) = k + 7. Let j be h(f). Let l = j + 12. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -986885 greater than or equal to -986931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Let z(l) = l. Let f(j) = y(j) - 5*z(j). Let w(c) = c + 0*c + c. Suppose 70*k - 16*k + 259 = -11. What is k*w(d) - 2*f(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11466 + 12273 - 4579 = 479*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(1\/31)\/(x**(-8)\/(x\/(x\/(x\/(x*((x\/(x**0*x))\/x)\/x)*x)))) assuming x is positive.\nAnswer: x**(339\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1546 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**2*c)\/c)\/c)\/c)**13*c**(-5\/2)\/c**(-8))\/(c\/(c**(2\/9)\/c)*c*c*c**(-4\/11))**36 assuming c is positive.\nAnswer: c**(-2583\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:15 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47074 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = 3*z. Suppose -2*l - s + 1 = 0, -l + z*s + 1 = -5*l. List the prime factors of (18\/8)\/(l\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -133?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54694)\/15456 + 1*5. Let f = g - 32\/21. What is the closest to 1 in 0.2, f, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6149d + -2?\nAnswer: -6149f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 32 = 4*i, s - 4*s = -3*i - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6*u. Let t be -7 - -36*(-24)\/(-96). Suppose u = p - 2*l - 186, -l - 3*l = t*p - 348. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + n**3 - 3216*n**2 + 1610*n**2 + 1606*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600*g - 1342 = -602*g. Let q = 687 - g. Solve 3*x + q = -s, -1 = -4*s - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -95470\/21 (c) -39\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3444*f**2*q**2 + 2*f**2*q + 4*f + q**2 + 6*q - 90 wrt f.\nAnswer: 6888*f*q**2 + 4*f*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -1, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:22 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose -s + 5*w = s - 70, 2*w + 76 = 2*s. Suppose 2*f - s = -c*f. Calculate the highest common divisor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(((-17391)\/124)\/(-51)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10.7830163 times -5\nAnswer: -53.9150815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1131, 2258, 3385, 4512, 5639?\nAnswer: 6766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-56) - (-516)\/7?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 71691709.\nAnswer: 71691713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 492*s**2 - 992*s = 0.\nAnswer: -248, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 72*o**2 - 264*o - 256 = 0.\nAnswer: -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 + a + 3. Let h be w(5). Suppose -h = o - 24. Let k = o - 10. Solve -z - 1 + k = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 26*j**2 - 4 - 2.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 1 - 1 + (-2*m - m + 5*m)*(m**2 - 1 + 1) + (4*m - 2*m**2 - 4*m)*(-3*m - 3*m - m) to s*m**3 + p*m**2 + u + k*m and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 24 = -2*p, -5*c + 5*p = 45. Suppose o = -4*m - 22, 5*o + 0*o = 3*m + 28. Let b be (1580\/m)\/(2\/c). Round b to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (620\/(-22))\/(-1) - (-20)\/(-110). Solve 5 = -3*q + 2*j, 5*j = -q + m - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovoffrfvf. What is prob of sequence of?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 74*j = -21*j - 1141558. Does 31 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.55 + -38.55. Which is the third biggest value? (a) n (b) -0.4 (c) -0.3 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 17604?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 121, 113, 117, 139, 185, 261?\n\"Answer: c**3 - 15*c + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 e when four letters picked without replacement from {x: 3, e: 2, z: 4}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/1134 + 1128\/(-30744)?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**5)\/i*i**(1\/10) assuming i is positive.\nAnswer: i**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 76 - 8. Let f = 39 + p. What is the greatest common factor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l + j = 41*l - 1236, 3708 = 3*l + 2*j. What is the least common multiple of l and 22?\nAnswer: 13596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26648 is divided by 1477?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190, -3790, -7812, -13256, -20122?\nAnswer: -28410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -127 (b) 153 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7557645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z**2 - 3*z - z**2 + 10 + 6*z - 11*z. Let g be j(-8). Suppose -g*k = -8*k - 48. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684647297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3923544 and 67\/466.\nAnswer: 914185752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2794.087 - 2788. Let w = 0.087 - a. Let t = -1 - 2. What is the nearest to -2 in t, -0.5, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-3 + 1) - -1. Suppose -5*o = -j + f*j - 425, -2*j - o = -169. Suppose 0 = -2*b + 4*x - 2*x + j, 0 = 4*x - 16. What is b rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 61*y**2 + 244*y + 47. What is the remainder when h(57) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 711, 2838, 6375, 11316, 17655, 25386, 34503, 45000?\n\"Answer: -k**3 + 711*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*6\/(-25)*5. Calculate the remainder when (-7)\/(-21) - (3 + 1102\/p) is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 5. Let n be v(-6). Let b be (n + -1)*(-2)\/4. What is the greatest common factor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -23. Let p be (4\/6)\/(-3 + 55\/o). Let g = 13 - 18. Which is the nearest to p? (a) -4 (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/15)\/(-1))\/((-1995)\/950).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.63 (b) -0.1 (c) -1497 (d) 1\/2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.3, -7.2733, 4, 3.2 in ascending order.\nAnswer: -7.2733, 2\/9, 0.3, 3.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(968) + 3*sqrt(968)))\/((sqrt(48) + sqrt(240)\/(sqrt(35)\/sqrt(7)) + sqrt(48))\/sqrt(12)).\nAnswer: sqrt(3)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 964990, 1930024, 2895068, 3860128, 4825210, 5790320, 6755464?\n\"Answer: k**3 - k**2 + 965030*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21337904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 1. Let v be -1 + 3 + 1 + 6. Suppose 10 = -5*q - 5*d, -3*q - d = v - 1. Let s(j) = j**2 - 39 + 69 + j - 31. What is q*w(z) + 3*s(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*b + 72 = -0*b, -b - 54 = -3*k. Let l = -3 - -7. Suppose 0 = -l*w + 2*w + 18. Calculate the highest common factor of w and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34043348\/59 or 577006?\nAnswer: 577006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {z: 4, w: 4, l: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 5 + 0 - 2*f**2 - 9*f**2 as c + w*f + g*f**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00419078 to five decimal places.\nAnswer: -0.00419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 436131 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*x + 19 = 0, -2*n - 2*x = -3 - 5. Let z(v) = v**2 - 5*v + 6. Calculate z(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/34? (a) -0.04 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10 - 0. Let r be ((-12)\/(-4))\/(-9)*(-2 + z). Suppose 0 = 3*o - o + 5*b + 84, r = 2*o - 4*b + 102. Round o to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824916.\nAnswer: 2, 706229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngfffgk. What is prob of sequence kgng?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5117\/12 - 426. Let h = 35\/12 - f. Put -0.5, 84, h in increasing order.\nAnswer: -0.5, h, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252340\/15190)\/407 - 2791\/(-49).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55625 and 45625?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10487196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**3 + 6*l**2 + 6*l - 4. Is x(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 5, y: 5, f: 1, g: 1, o: 2}. Give prob of sequence fx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + j**2 - j - 4. Let l(n) = n**3 - 626*n**2 - 5666*n + 4. Let g(h) = f(h) + l(h). What is the second derivative of g(s) wrt s?\nAnswer: 18*s - 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, -2, 1\/5 in descending order.\nAnswer: 5, 1\/5, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let b(s) = 0*s + 2*s - 35 + 37. Give i(b(g)).\nAnswer: 4*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 - -5657\/20. What is the fourth smallest value in -2, -1\/4, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 20*q - 36*q + 3*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w**2 + 5*w - 2. Let s be b(2). Let q = -78 + 66. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.1 in -4, 0.3, -2\/11, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - k = -293, 3*k + 415 + 29 = 3*x. Suppose x = 3*w - u, -3*w + 5*w - 3*u = 105. Calculate the smallest common multiple of 6 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 375981.967267.\nAnswer: 375983.967267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**1)\/w*w)**4)**(2\/29) assuming w is positive.\nAnswer: w**(8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98 and -4?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203570?\nAnswer: 2, 5, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9.2. Let p = -15.44 - -15.84. Which is the smallest value? (a) x (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 4 + (4 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 + -24.6. Is i equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-1 + sqrt(175))**2 - sqrt(175)) + sqrt(175)*-2 + -4 + 0)*6.\nAnswer: -150*sqrt(7) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -17. Suppose p*y + 25829 = -5*r + 72735, y - r = 11731. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + (sqrt(1900)*2 - sqrt(1900)) + -1*(sqrt(1900) + 2))**2 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 + 128.9953. Round b to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (3*-1*sqrt(720) - -4*sqrt(720)*2) + -1*(sqrt(720) - (sqrt(720) - (0 + sqrt(720)))*-1)))**2 + 5.\nAnswer: -13824*sqrt(5) + 415301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18010 and 1426392?\nAnswer: 7131960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n**2 + n + 4. Let v be f(0). Let u be ((-4)\/16)\/((-2)\/8). Let t = 5 - u. Solve t = v*s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -524 - -2365. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 f when three letters picked without replacement from {f: 4, l: 11, c: 1, q: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29047552 rounded to three decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 3. Let x(q) = -4*q - 4. Let a(j) = 3*f(j) + 4*x(j). Give a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 378 - 380. Let q(f) = -570*f - 44. What is the hundreds digit of q(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-6))\/(1624\/(-1827)))\/((-7695)\/(-27))?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 372.99999622 - 373. Round o to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 67, 81, 83, 73, 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.945440181.\nAnswer: -2.054559819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68257\/15 + -4546. Find the common denominator of j and 65\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 8*i**2 + 10*i - 8. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-27)\/u**(3\/2)*(u**0)**(-5\/12) assuming u is positive.\nAnswer: u**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 283765176 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) 0.0994 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 109516, 120036, 130556?\n\"Answer: 10520*k + 98996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-12)*f*f*f*f*f\/((f\/(f**31\/f))\/f)*f*f assuming f is positive.\nAnswer: f**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3228*h**4 + 3*h**2 - 46045?\nAnswer: 77472*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - (-1 + -6)) + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29562 + -29560. Which is smaller: -379\/8 or v?\nAnswer: -379\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 30. Let n be (-6)\/(-21) - 36\/r. Suppose 0*i - 2*s = n*i - 92, 3 = s. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 6*l - 11. Let b be v(-5). Let g be 20\/(-2)*14\/4. Is 37 a factor of b\/15 - 2779\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181\/15 - -35\/3. Suppose 5*u + 5*s = -50, s = u - 2*s - 10. Let q = 0.5 - 0.5. Which is the nearest to q? (a) i (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -801*z**3 - 874*z**2 + 1751*z**2 - 7 + 4 - 879*z**2 + 148*z wrt z.\nAnswer: -4806*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 45015015?\nAnswer: -45015011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3346\/2151)\/((-2)\/18). Suppose 122 = 2*t - 0*t. Suppose x + v = -4*x - 63, 0 = 5*x + 2*v + t. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 21*c + 42. Let j = -245 - -264. Let q be m(j). Solve q*x - 8 = 4*v, 10 = 4*x - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47553 and 749058?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**5 + 13*u**4 + 14*u**3 + 9*u**2 + 16*u + 9. Let x(i) = i**5 + 12*i**4 + 14*i**3 + 10*i**2 + 15*i + 8. Let n(j) = 6*w(j) - 7*x(j). Factor n(r).\nAnswer: -(r + 1)**4*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2*k**3 + 2*k)*(-3 + 8048*k - 14334*k + 7393*k) to the form v*k + i*k**2 + w*k**3 + j*k**4 + p and give j.\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3308 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 0.7 (b) -1\/5 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6973734 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 33 = -5*g, 27 = 554*g - 551*g + 3*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(4 + (-32)\/6)*-168. Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 17 = 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 c, and 1 d when four letters picked without replacement from afjfjjaccjjjdajfajda.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 0*f**2 - 2*f**2)*(4 + 5 - 2)*(1 + 4 - 2).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 18*f + 11*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6350900 and 4560.\nAnswer: 1448005200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.11 * 0.09.\nAnswer: -0.4599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(700) + 4 + sqrt(700) + -1)**2 + (-1*(sqrt(7) + sqrt(448)) - sqrt(7))**2 + (sqrt(252) - (sqrt(252) + (sqrt(252) + -1)**2)).\nAnswer: -528*sqrt(7) + 57156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/h**(2\/27))*h))\/h*h)\/h)\/(h*h*h**(-7))*h**7*h*h**(3\/13) assuming h is positive.\nAnswer: h**(4267\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -1\/4, 0.1, -5, 0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 141. Calculate the remainder when p(-53) is divided by 129.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -946 divided by -946.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2273, -9079, -20415, -36275, -56653?\nAnswer: -81543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 440002*x + 10. Let z = -12 - -14. Suppose 5*y = -4*g - 37, -3*y - z*y + 4*g = 13. Let m be q(y). Round m to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 120\/(-28). Let n(l) = -s - l + 4. What are the prime factors of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3824*k + 2776398. Calculate y(726).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.62 - 2.8. Let k = h + 5.18. What is the nearest to 0.1 in 1\/3, -0.5, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 651166428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1435, -2877, -4309, -5725, -7119, -8485?\nAnswer: -9817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2 - 9*r**2 - 9*r**4 + r**4 wrt r.\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.47325ms in nanoseconds?\nAnswer: 88473250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgwqsq. Give prob of sequence kq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86956.\nAnswer: 2, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 11*r**2 + 5*r - 8. Is o(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 38*o = -1295. Calculate the greatest common divisor of o and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/74412 and 101\/82680?\nAnswer: 744120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*b*d**3*o**2 - 8*b*d**3 + 3*b*d**2*o**2 - 31*d**3*o - 4*d**2*o**2 wrt o?\nAnswer: -44*b*d**3 + 6*b*d**2 - 8*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 1 - 1)*(0 + p**2 + 3 + 4)*(1 - 3 - 2)*(0 - 1 + 2).\nAnswer: 4*p**3 + 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. What is the highest common factor of t and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2 + 1)*140\/(-28). Suppose 3*n - 30 = n. Let t(z) = 3*z - 21 + 34 - n. Give t(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2031 times 0.08\nAnswer: -0.016248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3776 = 5*l + 860, l = -3*d + 580. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (-3*1*sqrt(57))\/(sqrt(3) - 5*2*sqrt(3))*4).\nAnswer: -6 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 317 and 2330267?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + l)*(49 - 94 - 102 + 5) - 2*l + l + 3*l + (1 + 2*l - 1)*(3 - 4 + 2).\nAnswer: -280*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 389.\nAnswer: -38.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8758565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.077211 - -0.0768. What is l rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 - 2*s - 7. What is the tens digit of h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806 a factor of 204894630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27314 is divided by 26990?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (29 - 31) - (-11 - -4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131230*l**2 + 131230*l**2 - 1 - 205*l**3.\nAnswer: -205*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:05 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n**(-7)\/n))\/n)\/n)**(2\/25)*(n*n**(5\/4))\/n*n**(-1\/13)*n)**46 assuming n is positive.\nAnswer: n**(79327\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/12 + l. Let c(v) be the first derivative of v**3\/3 - 68. Give n(c(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -5*l - 73. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + k + 3 = 0, 44 = 5*s + 3*k + 9. Suppose 2 + s = 2*d, q + 7 = 3*d. Let l = 9 + q. Is l at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from {h: 2, n: 16}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100100000010000011111 (base 2) to base 8\nAnswer: -4402037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/120 + z**5\/60 + z**4\/24 - z**3\/6 + 4*z**2. Let d(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 705 and 1182003?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 27569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/168*(-385)\/33*(-6)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -158, -428, -876, -1502?\n\"Answer: -89*r**2 - 3*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -8 + 5 - (21 + 91 + -3)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1220 (base 11) to base 12\nAnswer: -b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 840146 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (15 + 1 - 39)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -149376.1 and 166.\nAnswer: -149210.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x, v - 446 = 5*x - 7*x. Suppose 5*q = -0*g - g + 113, q = -4*g + v. What is g rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17005592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m**4 + 0*m + 3*m**2 + 1\/210*m**7 + 0 + 0*m**3 + 1\/15*m**5 + 0*m**6. Find the third derivative of j(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.108?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 8. Let o be j(-7). Let w be 2 - 2 - (41 + o). Let k be 8\/5 + (-16)\/w. Solve 0 = -5*d - 5*r + 20, -k*d + 17 = 2*d + 3*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/7))**(-46))**(-6\/5))**50 assuming c is positive.\nAnswer: c**(5520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in 38, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/6)\/(-9)*4\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/5, -1\/2, 0.3, 1662, -2, -62?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b. Let h(c) = c. Let a(p) = 12*p. Let v(m) = a(m) - 4*h(m). Determine v(s(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 475395, 950795, 1426195, 1901595, 2376995, 2852395?\n\"Answer: 475400*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328c540 (base 13) to base 12.\nAnswer: 522574a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvnnqssvnsthts. What is prob of picking 2 t and 1 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Let m be u(-3). Let d(t) = 6*t**2 + m - 34*t - t**3 + 89*t - 26*t - 34*t. What is the remainder when 90 is divided by d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2028175342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 13*v**5\/120 + 2*v**3\/3 - 3*v. Let j(k) be the second derivative of t(k). Let h(i) = -i. Give j(h(m)).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2. What are the prime factors of x(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1646 + 2?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120442237 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 172 + 31 + 7*l + 114 + 20*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**(-26)*(i**(5\/6)\/i)\/(((i**(-3)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(473\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -j - 1 - 20, 4*w = 3*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1 - 2*c**2 - c**3 + 2*c + c**2 - 4 + 4*c**2. Let u be t(3). Solve p - 3 = -u*z, 3*p + z + 3 = 4*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794405066?\nAnswer: 2, 7, 13, 127, 34369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a - 660 = 3*a - 23*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/195)\/((90\/(-25))\/9).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -0.27. Let s be 6 + -3 + 82\/(-52). Let z = -12\/13 + s. Which is the second biggest value? (a) 0 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z - 2. Let l(k) = 10*k + 4. Let v(y) = y + 1. Let p(x) = l(x) + v(x). Let a(t) = 5*g(t) + 2*p(t). Let d(n) = n. Calculate a(d(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -546*r + 10914. Give a(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*y**3 - 1355*y + 1355*y.\nAnswer: 1198*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.61 - 1.11. What is the third biggest value in h, 14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 - 11*x + 13. Give k(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-462)*8\/(-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253477771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13685141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 219*l + 1393. List the prime factors of w(-113).\nAnswer: 3, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 375*t**7\/14 - 95*t**6\/2 + 16*t**5 - 5*t**4\/3 - 21*t + 2. Find c, given that i(c) = 0.\nAnswer: 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7740 and 12?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 180929898 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127\/10 or -13?\nAnswer: -127\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129101619 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/5 - 4858*u**4\/5 + 2956476*u**3\/5 - 8782156*u**2\/5 - 26453182*u\/5 - 2941938 = 0.\nAnswer: -1, 5, 1193, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(363) + -6*(sqrt(3) + 2*sqrt(3)).\nAnswer: -40*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28999120 is divided by 2129.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 10061.3375?\nAnswer: -10061.1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10, 5, -5, -3, -2.\nAnswer: -10, -5, -3, -2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 k when three letters picked without replacement from aaaakmm?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:13 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.903 + 0.097. Let l = -8.3 - 0.5. Let s = v + l. What is the nearest to 0.05 in s, 1, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 23\/(-12) - 287\/164.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4380394733 to the power of 1\/3, to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhphhhmhohhhhomx. What is prob of picking 4 h?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 0.2, -5, 253, 3?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122556 times -2?\nAnswer: -2245112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {e: 3, q: 4, s: 1, z: 2, t: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 162009213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 + 14890*u - 433492 = 0.\nAnswer: -7474, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 24156234.2 to the nearest 1000.\nAnswer: 24156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 8*c - 3*c - 52, c = 4. What is b in 6189 - x*b**2 - 6181 + 40*b + 58*b**2 = 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:45 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -43928*o. Let r(n) = -62*n. Determine r(h(d)).\nAnswer: 2723536*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 30*w**2 - 940*w - 1654. Calculate i(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*l + 8, -u = -5*l + 1 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10062935 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: Suppose -o + 18 = 2*o. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7130088 a multiple of 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 28*z - 4 = 24*z, 0 = 2*v + 4*z - 12. What is the third smallest value in v, -5, 2\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = h + 329, -u - 3*h + 0 + 69 = 0. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*h + 66931, 5*h + 89238 = 314*f - 310*f. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d - 2*d**3 + 244*d - 62*d - 63*d - 66*d + 0*d**3.\nAnswer: -2*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 5 - 6 - (96 - (41 + 78)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 15250\/4777 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969 + 85612363.\nAnswer: 85611394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 123*t**4 + 123*t**4 - 100*t**5)*((3 - 1 - 3)*(2 - 1 + 0) + 0 + 2 + 1).\nAnswer: -200*t**5 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8126713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 - 0.015. Put 6, j, -0.5 in decreasing order.\nAnswer: 6, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 - 163 - (27 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 472, -2\/9 in ascending order.\nAnswer: -2\/9, 0.5, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 51, 76, 107, 144, 187, 236?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 336\/5 - 3\/5*f**2 - 72\/5*f = 0?\nAnswer: -28, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erq when three letters picked without replacement from erleemeleqlee.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 186?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-14\/5) assuming m is positive.\nAnswer: m**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 16*k - 28 = 0, 25452*a = 25454*a - 3*k + 29 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11191 * 62.\nAnswer: 6.93842","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 1. Let d(s) = -s**3 - 3*s**2 + 3*s + 1. Let v be d(-4). Suppose -2*x = -v*x. Let j(p) = p**3 - p + 1. Let i be j(x). What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3751 + 3773. Let r = 10 + 0. Calculate the least common multiple of r and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -32*k**3 - 12*k**2 + 6*k + 13. Calculate f(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272\/15277 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3985748028?\nAnswer: 2, 3, 19, 5827117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2001\/574 + -7\/82. Suppose -41 = -5*m + 2274. Let i = m + -3695\/8. What is the common denominator of i and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.91*-41.\nAnswer: -160.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8724392.\nAnswer: 2, 31, 127, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkjqqq. Give prob of picking 2 k and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10488 and 33\/11632.\nAnswer: 15249552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*f = -0*f - 15, 5*f + 30 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00491845544 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i. Let g(p) = -115328130*p. What is g(m(v))?\nAnswer: 345984390*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p. Let a(b) be the first derivative of 7\/2*b**2 + 0*b + 2 + 2\/3*b**3. Let y(c) = -12*c + 1. Let u be y(1). Give u*w(z) + 6*a(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 5 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -402*(-7)\/336 - 3\/(-12). Let -27\/8*m**4 - 21\/8*m**2 + 3\/8*m**5 + a*m**3 + 6 - 9*m = 0. Calculate m.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*u + 54. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975929284 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 - (-78 + 55) - -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -84, -159 in increasing order.\nAnswer: -159, -84, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5\/5 - 16*y**3\/5 - 8*y**2\/5 + 12*y\/5 + 8\/5 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaaroaitatkttk. Give prob of picking 2 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 + 0 + 0)) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-36)\/j)**(27\/5)*j\/j**(3\/37)*j*(j**(-1\/2)\/j)\/j assuming j is positive.\nAnswer: j**(-74141\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/9)\/h)*h*h\/(h**(1\/3)*h))\/(h*h**(-2\/5))**(10\/9) assuming h is positive.\nAnswer: h**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593168.\nAnswer: 2, 3, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 9. Let i(x) = 7*x**2 - 23*x**3 - 2*x**2 + 22*x**3. Calculate the smallest common multiple of i(4) and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + d + 11 = 0, 3*z + 4*d - 5 = -16. Suppose 0 = -4*s + 2*l + 884, -s = -0*l - z*l - 211. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 44, -1, 9, -21 in ascending order.\nAnswer: -21, -1, -4\/15, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 438091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfjgggfvjjgfjfjjvjzz. Give prob of sequence fjf.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -0.07, 5, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/119 or 0.144727?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/42 + (-80)\/(-14). Let q(n) = -n**2 + 8*n - 5. Suppose 7 + 21 = 4*g - 3*m, -2*g + 5*m = -14. Let d be q(g). Solve k + d = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 18*l**3 + 16*l**3 - 13*l**4 + l**2 - 75*l**3 + l + 20*l**3 + 20*l**3 to the form y*l**4 + z*l + x + i*l**3 + p*l**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -83, -1\/3, 15?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 373. List the prime factors of r(41).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3257005.7 to the nearest 10000.\nAnswer: 3260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (7 + 0 - -11) - 24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2555 and 3465.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from oooyyyooooyoyo.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:12 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m + 70. Let a = m - 8. Let s be (3 - 9)*(-3)\/a. Solve -8 = -s*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 92*z + 833. Let o be r(-9). Solve 0 = o*b + i + 30, -b + i = 3*b + 24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -789923\/526966 - -65\/2818. Let g = j + 22\/17. What is the smallest value in 0.3, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*v**3 + 1200*v**2 - 223095*v - 4443830.\nAnswer: 5*(v - 46)*(5*v + 139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 + 135606918*j - 3064872701576454.\nAnswer: -3*(j - 45202306)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.600000977 - 53.6. What is n rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*t + 18 = 3*l, 22 = 3*l + 5*t. Sort 0, 11, l, 2 in descending order.\nAnswer: 11, l, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 2. Let p(x) = -3*x. Let s(k) = -18*k - 1. Let m(a) = -5*p(a) + s(a). Give -6*m(f) + 4*v(f).\nAnswer: 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5259+25\nAnswer: -5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Suppose 3*p - 5 = 2*i, -5*p + 4*i - 2 = -9. Let v be p*((-16)\/6)\/(-4). Let u(j) = -v*j**2 + 4*j**2 - j**2 + 3*j**2. What is s(u(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -3, -5, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 6 = -18. Let j(h) = -5*h - 3. Let w(y) = -6*y - 4. Suppose 3*c - 13 = -2*c - 2*m, -4*c + 17 = -5*m. Give c*w(s) + g*j(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 673 - 109 = 0. Let p be ((-16)\/6)\/((-2)\/t)*-3. Is p smaller than 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**3*d**2*y - b**3*y - 5001*b**3 + b**2*d**2*y - 13*d**2*y + 3205*d**2 - d*y wrt b.\nAnswer: -54*d**2*y - 6*y - 30006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/10*(-15)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -80*x. Let w(k) = 9*k**2 - k - 51. What is w(q(m))?\nAnswer: 57600*m**2 + 80*m - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**5 + 0*f**5 + 0*f**5 + (-f**3 + 0*f**3 + 0*f**3)*(-7*f**2 - 3 + 3))*(1523 - 416 - 152 + 1516).\nAnswer: 19768*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, i: 2}. Give prob of sequence qii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 69 = 29. Let y be ((-86)\/h)\/(10\/120). Let j = y + 1178. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71730732.\nAnswer: 2, 3, 71, 84191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 - 384*p**3 - 5460*p**2 - 26800*p - 44250 = 0. What is p?\nAnswer: -177, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2. Let h be (-96)\/(-44) - 12\/66. Let m(z) be the second derivative of 0*z**3 - z + 0*z**h + 0 - 1\/6*z**4. Calculate r(m(b)).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142305 - -3014?\nAnswer: 145322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -394*j**6 - j**3 + 507*j**2 wrt j.\nAnswer: -47280*j**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -101, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-39)*(-5526)\/(-2149).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -167, -249?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.7602391 - -18.330253. Let j = -0.279 - -1.849. Let m = y - j. What is m rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-27))\/(-4) - (-1092)\/54. Solve 0 = 4*p + m - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(4\/(-3))\/2. Suppose -13*d = -12*d - h. Suppose 0 = 6*g - d*g - 1222. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 48*o - 36. List the prime factors of b(4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 29 = 2*c, -7*q - 3*c + 31 = -2*q. Is (-14)\/(-35) - (-2133)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 463 - 453. Solve 16*r + v = 21*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 5)*(-2*l + 5*l - 2*l) + 473 - 2*l - 473 + (3 + 1 - 2)*(3 + 4*l - 3) - 3*l + 2*l + 2*l + 5 - 2*l - 5 to the form i + g*l and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i + 3*r, 5*i - 5*r = -2 + 42. Let t = -3 + i. Does 2 divide (8\/t)\/4 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8078745 divided by 4\nAnswer: 8078745\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - 5*u**2 + 9*u + 2. Let b be r(-6). Suppose -5*c + s + 404 = 0, -3*s - 11 = 1. What is the greatest common factor of c and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891\/4 - 63\/2*x - 3\/4*x**2 = 0 for x.\nAnswer: -33, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 464380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79878879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -155, -176, -197, -218, -239?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221352 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8720, -8582, -8444?\n\"Answer: 138*c - 8858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5553 + 5554. Which is smaller: u or 2\/2979?\nAnswer: 2\/2979","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*z + 8. Suppose 0 = -z*d + 6*d - 30. What is the lowest common multiple of 36 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 20692?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 11, 2, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -9*s**2\/2 + s + 4. Suppose -775*b + 13 = -762*b. Give q(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.1 and -3.2002.\nAnswer: -93.12582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*s**4 - 41*s**3 + 288*s**2 wrt s.\nAnswer: -504*s - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676 and 2900196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14974714?\nAnswer: 2, 37, 202361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57843 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408038 = 5*o - k + 64654, -1 = -k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*c*h**2 + 2*c*h + 400*c - 46*h**2 + 5*h + 22 wrt h?\nAnswer: 14*c*h + 2*c - 92*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.377 * 0.22744.\nAnswer: 1.90526488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 + 4 = 0. Suppose -4*j + k*j = -3*t + 3116, t = -j + 1040. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3\/3 - 11*n**2\/2 + 36*n + 17. What is the derivative of l(k) wrt k?\nAnswer: 2*k - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*g**2 + 14*g**2 - 121*g**2 + 15*g**2 + 1677*g**3.\nAnswer: 1677*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -77, -3, -4.\nAnswer: -77, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-b**3 + 2*b**3 - 3*b**3) + (-3*b**2 - 2*b**2 + 4*b**2)*(-431 + 431 + 103*b + (-3 + 3 + 2)*(-b + 4 - 4)).\nAnswer: -103*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12) + (-3)\/9*10. Is -4 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - 3.05. Let h = 0.5312 - 0.4312. Which is the nearest to 3? (a) g (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/30)\/((-60)\/50) - -447*(-7)\/(-63)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 380 = 13*s - 315, 4*s + 20 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5 + w - 5 + 1. Let z(l) = 12*l + 19*l - 39*l - 8. What is 18*j(h) + 2*z(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1047*f**2 + f - 488*f**2 + 2*f as k + g*f + m*f**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 + 510*m - 12960 = 0. What is m?\nAnswer: 48, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1682*s = 27231 - 202159 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (7 + (8 - (13 + -3)) + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/1*-40. Let y be q\/9*(-18)\/10. Let i be ((-14)\/(-609))\/(4\/y). Is 0 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 396aa?\nAnswer: -396ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(5))**2 + 3.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + d = -3*d - 40, -4*d - 50 = -5*k. What is the second derivative of 4*x - k*x - 10*x**2 + 5*x wrt x?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1136 (base 7) to base 6.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*(-2*sqrt(833) + -5) - (((0 + sqrt(833))*-1 - sqrt(833)) + (sqrt(833) - sqrt(833)*1) + 5)))**2.\nAnswer: 3528*sqrt(17) + 120393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.3. Let g = 6.7 - 7. Let x = h + g. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-1050) - (-6 - (192480\/(-7812))\/4).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqzzqqwqzqzzqqqc. What is prob of sequence cqz?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9020 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3) + 1)*3. Let l(j) = -j**3 - 6*j**2 + 7*j + 13. Let i(a) = 4*a**3 + 18*a**2 - 22*a - 42. Let o(w) = 2*i(w) + 7*l(w). Calculate o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, z: 2, u: 1}. What is prob of sequence zgg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((2 - 0) + -1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 + 208*t**3 + 5196*t**2 - 11024*t + 5618 = 0 for t.\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275 - 276. Let x(v) = -2*v**4 - 73*v**3 + 3*v**2 - 3*v + 81. Let z(i) = -i**3 + i**2 - i - 2. Let m(w) = u*x(w) + 3*z(w). Differentiate m(q) wrt q.\nAnswer: 8*q**3 + 210*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 6*y - 9. Let p(i) = -1. Let h(w) = 2*w**2 - 5*w + 14. Let v(n) = -h(n) - 6*p(n). Give -6*v(q) + 5*z(q).\nAnswer: 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwqwvwvvvww. Give prob of sequence qvw.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 28796.45983 to 0 dps.\nAnswer: 28796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4327566811.\nAnswer: 719, 6018869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10946617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + r - r + (-4 + 4 + 18)*(1 + 2*r - 1) + (-2*r + 2*r + 5*r)*(-144 - 371 - 50) to the form f + a*r and give a.\nAnswer: -2790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2324 and 1466.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -57. Let k = r + 41. Let g be -2*(-12)\/8*k. Solve 4*s = s + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = 9. Let z be (3 - 0 - y)*1. Suppose d + 4*d - 5 = z. Calculate the least common multiple of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - sqrt(320)*-1*-6 - (sqrt(320) - (sqrt(320) - (sqrt(320) + 0 + -1))))**2 - (5*-1*sqrt(320) + 5 + -1*sqrt(320)).\nAnswer: -48*sqrt(5) + 11516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -113, -170, -227, -284, -341?\n\"Answer: -57*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -133 + a2036?\nAnswer: a1a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000200110 (base 3) in base 5?\nAnswer: 12243341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5969354*n + 5969354*n - 17908059*n + 5969353*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, q: 4}. Give prob of picking 2 q and 2 w.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 0.4 (c) 40 (d) -1 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*t + 8 = 0, 4*t = 44*q - 50*q - 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {t: 1, c: 2, m: 2, a: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 41\/9, -4, -3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 1\/5, -0.2, 0.07, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luqulqublbqququlqqq. What is prob of sequence lu?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80553*p**2 + 489571?\nAnswer: 161106*p","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: Let n(o) = -o**3 - 2*o**2 + 9*o + 7. Let m be n(-4). Suppose q = -3*p - 14, -3*p + 5*q - 30 = 2*p. Let x be -1 - ((-10)\/p + -5). Solve m*t = x*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2906820665.\nAnswer: 5, 7, 41, 2025659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/56 and 29\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -77, -11 in decreasing order.\nAnswer: 4, 0.4, -11, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 + k**2 + k. Let y be u(-1). Suppose 5*f + 0 = -3*r - 1, -3*r + 9 = 0. Let o be y\/(2\/f)*-1. Is -8 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07075 and -0.0984?\nAnswer: -0.0069618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35156*g**2 - 44462*g wrt g.\nAnswer: -70312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from qiiiq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f + 1. Let k(h) = 3*h**2 - 6*h - 2. Let g(r) = 40*r - 322. Let u be g(8). Calculate u*t(m) - k(m).\nAnswer: -m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 570?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/35)\/((-4)\/(-10)). Let q be (-1 - n\/4)*52\/(-26). Solve q*i - 3 = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -28*b**3 - 180*b**2 + 145*b + 242. Determine k(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24630 + -24608. Calculate the highest common divisor of 10087 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46486, -92884, -139282, -185680?\n\"Answer: -46398*o - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -173 (b) -2 (c) 0.5 (d) 0.23 (e) 1.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.8. Let c = -0.5 + -3.5. Are t and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016557433 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -815*g + 890*g - 235, a = 5*g - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**6\/120 - o**5\/12 + 5*o**4\/24 - 5*o**3\/6 + 33*o**2. Let j be k(4). Which is bigger: j or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133212112 (base 4) in base 15?\nAnswer: -2853a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Add together -2.6974 and -127968525.\nAnswer: -127968527.6974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1349\/94 + -7\/47. Let b(m) = m**2 + 8*m - 3. Let g be b(-6). Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 3*i**3 + 0*i**3)*(-2 + 1 + 4) + 2 - 5 - 2*i**3 + 1.\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = s + 4, 4*s - 2*s + 5*f - 27 = 0. Let c = -1 + s. Suppose -10 = -w - c. What is the lowest common multiple of 9 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 32*f**2 - 105*f - 6. Calculate h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -70*g + 26. Let i be u(-2). Differentiate 262*x**2 + i - 155*x**2 + 9 with respect to x.\nAnswer: 214*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/31 + 55\/217. Suppose 2*p - 5*b = -78, -521*b + 30 = -4*p - 520*b. Sort p, 18\/11, w, 0.1 in increasing order.\nAnswer: p, 0.1, w, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 2, 5*k - 2 = 3*r. Suppose -5*z = -z + 5*c - 5, 2*z + c = 7. Put z, 0, 11, r in descending order.\nAnswer: 11, z, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 155666, 311329, 466992, 622655, 778318, 933981?\n\"Answer: 155663*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -528, -530, -532, -534?\n\"Answer: -2*z - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3614, 7233, 10850, 14465, 18078?\nAnswer: 21689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -724589.3 rounded to the nearest 100?\nAnswer: -724600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = -0*j. Let h be j*-1*(0 + -1). Let q(n) = n**2 + 6*n - 11. Let v be q(-7). Sort 4, h, v in decreasing order.\nAnswer: 4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.96 - 0.01.\nAnswer: 10.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1015 + -1011. Let r = -388\/7 + 1996\/35. Factor 28\/5*w**3 - r*w + 0 - p*w**2.\nAnswer: 4*w*(w - 1)*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + r - 6. Calculate the remainder when 167 is divided by s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 48, 76, 120, 186, 280, 408?\n\"Answer: k**3 - k**2 + 14*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39740 is divided by 11030?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6876)\/1910)\/(13\/(715\/(-1419)))\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -9. Let o be 3 + -3 - h - -4. Suppose 6\/5*f**2 - 2\/5*f**o + 2\/5*f - 4\/5 - 2\/5*f**4 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 - 144876260843.25\nAnswer: -144876260847.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*j + 30 = 2*j, -3*i + 4*j + 82 = 0. Let y = 39 - i. Let h = 67 - y. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 49*s**2 - 1183*s - 200. Calculate r(66).\nAnswer: -4226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*g - n, 4*n + 20 = 4*g - 0*g. Suppose g = -6*c + 11 + 1. Solve -4*x = 10 + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 + -133. Calculate the lowest common multiple of 3 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:44 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197061434 to the nearest integer?\nAnswer: 14038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 a, and 1 w when four letters picked without replacement from {j: 1, w: 1, m: 7, a: 1, c: 5, b: 2}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.08, -1, 88\/7, -0.4, -2\/15.\nAnswer: -1, -0.4, -2\/15, 0, 0.08, 88\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3632814113\/912 - 3983346. Let c = 100\/57 + f. Let i = 869\/816 - 1\/408. Find the common denominator of c and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 7*y + 1. Suppose 2*q = -0*q - 3*u + 17, 5*q - 3*u = 32. Let l be o(q). Suppose -4*b + 22 = -5*m, 0 = b - 2*m - l - 3. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54612704.\nAnswer: 2, 17, 100391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, a: 1, v: 1, d: 3}. What is prob of sequence vz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -26, -37, -48, -59?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 10*p**2 - 2*p**2.\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8155 - 5*i + 8155 to t*i + x and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558942, 558933, 558918, 558897, 558870?\nAnswer: 558837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (4*(sqrt(76) + 4*sqrt(76)) - sqrt(76)))\/sqrt(4) - 1*((sqrt(19) + (sqrt(19) - (sqrt(19) + 3)) + -2)**2 - sqrt(19)).\nAnswer: -44 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 90. Suppose -h*p + 72 = -224. Suppose 5*a + 22 = -4*x + 3*x, -5*a - p = -4*x. Solve 0 = 5*q - 3*c - 15, 0 = -3*q - c + 6 + x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 407*t**3 - 383*t**3 + 3*t**2.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 1. Suppose -q + 1 = -2*v, -v + 21 - 17 = 4*q. What is the smallest common multiple of f and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let i = 1 - 1. Let n = 3.238 - 3.438. Which is the nearest to n? (a) 4\/7 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 6227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 36. What is the remainder when 8\/h - 621\/(-15) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11386665767 and 320.8.\nAnswer: 11386666087.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.44504.\nAnswer: -0.178016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21 - -12) + 17 + -5. Solve 59*z - r = -357 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*f + 60 = -4*k, 2*k = 5*f - 45. Let n = -174 + 167. Let x be k\/60 - n\/(-4). Which is smaller: -13\/5 or x?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -15, c - 6*c = w - 10. Let o = 3 - c. Suppose -h - t + 6 = o, -h - 3*h + t = -39. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 3. Let b be p(-3). Suppose 3*d = b*d - 15. Calculate the lowest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 6*q - 2*q + 0*q to i + o*q and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 + 16*x**3\/3.\nAnswer: 2*x**3*(x + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3013*h + 12057*h - 58 - 3015*h - 3015*h - 3016*h.\nAnswer: -2*h - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/15 - 13*p**3\/6 - 8*p**2 - 8*p. Let k(s) = s**2. Give w(k(h)).\nAnswer: -4*h**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Suppose j*k - l - 20 = k, -28 = -4*k + 5*l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**20)\/t*t*t)\/t*t**0)\/((t*t\/t**(2\/3)*t*t*t)\/t**(-11)) assuming t is positive.\nAnswer: t**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - k + 1)*(3 + 2 - 2) + 2*k + 3*k - 8*k - k + 0*k + 2*k)*(-79 - 39 + 57 - 76).\nAnswer: 685*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -101 and -102 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 11) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12198792355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690 a factor of 884304330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 2857644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.233 rounded to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 = 3*q - 5*g, 0 = g + 2*g. Let w = 458 + q. What is the highest common divisor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/4 less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5) - 296\/10. Let n = l - -32. Find b such that 8*b**2 - n + 1 + 5*b**3 - 5*b - 3 - 3*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125615773*s**3 + 125615776*s**3 - 502463112*s**3 + 125615781*s**3 + 125615779*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.9 rounded to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, 193, 0, -2.\nAnswer: -3, -2, 0, 2, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888 = -37*d + 41*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 10*l**2 - 9*l + 5. Let n be d(-9). Suppose -5*t + 12*m = 9*m - 21, 2*t - 16 = n*m. Solve -w = 2*w - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let f(j) be the second derivative of -j - 1\/6*j**3 + w*j**2 + 1\/12*j**4 + 0. Find the second derivative of f(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 18373872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005 at least as big as -0.149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9374548 is divided by 1217?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1959 - 1959.2438. Let x = -0.24 - q. Round x to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181.9 + 185.8347. Let a = n - -0.0953. Let v = 4 - a. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooyooy. What is prob of sequence oyy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 313 - 9. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 416.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1820 and 18?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*j + 46043 = 124486 + 90313. What is the highest common factor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62293820 to the nearest integer?\nAnswer: 7893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 995152*l + 61895468944 = 0.\nAnswer: -124394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + x - 1 + (x - 3*x + x)*(-2 - 3 + 3) + 2*x + 2 - 2 + 0 + 2*x + 0 + 2*x + x - 4*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + 11*f**2 + 3*f + 13. Let u(k) = 4*k**3 + 9*k**2 + 2*k + 11. Calculate -3*u(q) + 2*z(q).\nAnswer: -2*q**3 - 5*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*q - 20 = 0, -5*q + 3*q + 10 = -3*a. What are the prime factors of 0 + a + 10 + 1253?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -4. Calculate the remainder when 54 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 247594 from 98206.\nAnswer: -149388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 1020 = -1680 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98794 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*j + 480*j = -529*j + 567 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.58 - -38.58. Which is the smallest value? (a) j (b) 0 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*m = 378*m + 4*d - 34, 38 = -4*m + 3*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/2 + 28*d. Let p(t) be the third derivative of 13*t**4\/24 - 2*t**2 - 342. Give p(q(f)).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3723 is divided by 232.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 152?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 13. Let b be (-3 + 2)\/((-1)\/n). Suppose 2 = -4*o + b. Solve 0 = o*h - 2 - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)*w)**(9\/10))**(-40)\/((w*w**(-6\/5)*w)\/(((w*w**(-11))\/w)\/w))**(1\/13) assuming w is positive.\nAnswer: w**(-844\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.63 - -3861.\nAnswer: 3856.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104433 - -1134510?\nAnswer: 1243343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56550908 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.5 + 19.50000089. Round o to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/3 - 64*s**3\/3 - 256*s**2\/3 + 4096*s + 24576.\nAnswer: 2*(s - 24)**2*(s + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4104126, -4104189, -4104254, -4104321, -4104390, -4104461, -4104534?\nAnswer: -4104609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -17. Suppose -2 = -5*s - 5*p + 48, 0 = -4*s - 2*p + 30. Calculate the remainder when m is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/4 + 39525*w**2\/4 - 1505967*w\/4 + 4162095\/4 = 0. What is w?\nAnswer: -13213, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -83. Let h(w) = 2147*w**2 + 7*w - 5. Is h(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + h. Let g be p(1). Let d(j) = j**2 - 3. Let o be d(-3). Find the first derivative of -o*q + 2*q + g + 2*q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - y + 39 + 3 = 0, 5*y - 34 = -3*r. Suppose -6 = 5*d - r*d. Suppose 2035 = d*n + 441. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -17 + -2 + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - (-2 + 9 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from kkgoqrrw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-34 - -97 - (22 - 11)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 greater than or equal to 367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, 87, -0.3, 5\/2, 14?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/8486522 and 25\/1744.\nAnswer: 67892176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(34)*2)\/sqrt(2) + 4))**2.\nAnswer: 576*sqrt(17) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 - 14*c**2 + 23*c + 7. Is r(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 + h - 6. Let l be o(-8). Calculate the common denominator of (-2 - 0) + 9\/22 and 2 + -1 + (-45)\/l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -169*d + 153*d + 12192. List the prime factors of d.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0063 and 0.28?\nAnswer: 0.001764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5476890493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9480096139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, 49, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2. Let r(t) = -9*t**2 - 5*t - 5. Let q(y) = 10*y**2 + 6*y + 6. Let l(s) = -5*q(s) - 6*r(s). Give l(n(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00885 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454253?\nAnswer: 454253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c + 4. Let f be j(-3). Let z = f + 23. Suppose 0 = -3*g - 4*r + 16, 0*g = -g - r + 7. Is z greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*y = -38 + 7, 4*y - 41 = -3*r. Which is smaller: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2405540 + 102?\nAnswer: 2410042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 + 7*u - 3. Let h be c(-4). Let o = h + -57. What is the remainder when 7458\/110 + (-1)\/(-5) is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 22*c**2 + c + 21. Let t be y(-22). Which is greater: t or 2\/141?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p. Let v(y) = y**2 - 53*y. Determine v(u(z)).\nAnswer: 36*z**2 - 318*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*p - 83 = 62, 2*p = 5*v - 7*p - 184 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11683083 and -5.\nAnswer: 58415415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 82 = -10*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/30 + 4*v**3\/3 - v**2. What is the derivative of w(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3835827 divided by 14\nAnswer: -3835827\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 10:31 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-6))\/11)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 7. What is the remainder when 37 is divided by t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2588 by 647.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elhe when four letters picked without replacement from {e: 2, c: 1, h: 1, l: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1124 - 1116. Solve 17*f = -y*f - 75 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008266178?\nAnswer: 2, 8209, 122321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2598437*u**3 - 3578*u - 2523*u - 4654*u + 2598751*u**3 - 2*u**2 wrt u.\nAnswer: 1884*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 11750*d**3 + 35280*d**2 + 35290*d + 11765.\nAnswer: -5*(d - 2353)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.5 + 337. What is n rounded to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 7*r + 4. Let w be (-48)\/(-6) + -3 + -6 + 3. Suppose -7*o - 3*h = -2*o - 33, w*h + 16 = 3*o. What is f(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (6 - 13) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404 and 5267554?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-144)\/27 - -5)\/((-8)\/(-7)) and 107\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 - 1 = 0. Suppose -l = 3*d + 23. Let f(u) = -6*u - 1. Let o(a) be the second derivative of -17*a**3\/6 - 3*a**2\/2 + 20*a. Give d*f(w) + 3*o(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 22. Let i be -1 + -1 + -11 + (0 - -1). Give w(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 5*v + 1. What is k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + (-5 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 3, o: 4, m: 3}. What is prob of picking 2 e and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -5, 0.1, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 (base 6) in base 8?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 + -149. What is the third smallest value in 5, 0.4, f, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = 0, 109 = -5*l - 0*t - 3*t. Calculate the smallest common multiple of 3 and 1\/(-2) + l\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*b - 24 = 0, 0 = -3*m + 4*b - b - 33. Suppose -2*v - v + 81 = 0. Calculate the common denominator of 151\/12 and (v\/(-84))\/(m\/102).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 23*i + 93. Let a be n(18). Suppose 3*t = a*p - 0*t - 117, 0 = -4*p + 5*t + 159. Calculate the lowest common multiple of p and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**7\/210 + k**6\/6 - k**5\/10 - 5*k**3\/6 + 19*k**2 - 1. Find the third derivative of j(l) wrt l.\nAnswer: -24*l + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9793324 and 14689986.\nAnswer: 29379972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + j = -62, 5*j - j - 142 = 2*f. Let v = 135 + f. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = 6*x. Suppose 3*m = x - 16. Let n be (6\/124)\/(3\/m). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*k + 5. Let n = 12 + k. Let b(t) = -t**2 + t + 3. Let s be b(0). Solve 0 = 5*y - 2*r + 5, -n*y - 2*r = -7*r + s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1885959, -0.8, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) + (-16)\/(-10). Suppose 3*k - 2*n - 18 = g*k, 2*n - 24 = -2*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 503, 497, 487, 473, 455, 433?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 585967148 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - -28. Let n = -1144 - -1213. Suppose -c + n = -i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000499279 to seven decimal places.\nAnswer: 0.0000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -32*p**2 - 2*p. Let h(m) = -10069*m. Determine g(h(k)).\nAnswer: -3244312352*k**2 + 20138*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -80. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 355*r + 91*r + 169*r + 10455 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, -6\/133, -41\/6, -6, -1?\nAnswer: -6\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -2.3, 0.02?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 8*g**2 + 10*g**2 - 9*g**2 as q + w*g**2 + z*g + j*g**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/6*72*42\/840?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 7. Let f be 66\/i*(-10)\/3. Suppose -r = -36 - f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.269 - 16.1. Let r = 3.169 - s. Sort -0.03, 5, r in decreasing order.\nAnswer: 5, r, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i + 12. Let g(b) = -b**2 - 7*b - 1. Let u be g(-6). Suppose -l = -u*l. What are the prime factors of c(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747324 to the power of 1\/2, to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 717174 divided by -1026?\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 5*c - 15099, -5*c + 15094 = u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -5*m**7\/42 + 16*m**6\/3 + 2*m**5 - 320*m**4\/3 - 40*m**3\/3 + 1280*m**2 + 8136*m. Suppose g(j) = 0. Calculate j.\nAnswer: -2, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5*a**2\/2 + 8*a + 2. Let q(t) = t + 0*t - 5*t + 7. Give 5*h(o) - 6*q(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 5*z - 5. Let i(u) = 3*u**2 + 6*u - 6. Let b(r) = 5*i(r) - 6*p(r). Let d(a) = 4*a + 2*a - 4*a. Determine b(d(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628865 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: Suppose 3*f - 9 - 9 = 0. Let k be -3 + 4*(-3)\/f. Let v = -2 + 1. Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 49 = -3*l - 29, 0 = -5*s + l + 106. What is the lowest common multiple of s and 2768?\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -279*y**3 - 513*y**2 - 253*y + 1. Let f(o) = 4*o**3 - 2*o**2 + 1. Let h(x) = -d(x) - 4*f(x). Find b such that h(b) = 0.\nAnswer: -1, 5\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/11 (b) 295 (c) -2 (d) -1.6 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204*j**2*r*s**3 - 10*j**2*r*v - j*r*s**3*v + 4*j*r*s - 2*j*r - 2*j + 2*r*v + 5*s**2*v wrt j?\nAnswer: -408*r*s**3 - 20*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -31636 (base 8) to base 12\nAnswer: -7792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62266 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71586 and 250551.\nAnswer: 501102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (260\/(-16) + 3)*283. Let x = 3770 + w. Let f = 1823\/3 - 5495\/9. Find the common denominator of x and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -971 (base 10) in base 4?\nAnswer: -33023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*l + m, -3*l - 7*m = -4*m - 15. Let z be 2*1\/(l\/9). Let y(j) = j**2 - 4*j - 4. What is the units digit of y(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1*sqrt(2))**2) + 0 - ((sqrt(162) - (sqrt(162) - (sqrt(162) + 2)))**2 - sqrt(162)).\nAnswer: -168 - 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 263159407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*y - 2*v, 3*v + 3 - 25 = -y. What is the smallest common multiple of 9 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*f. Suppose 14 = -4*j - f*w - 6, -20 = 5*w. Let s(c) = -c**3 + 2*c**2 - c. Let m be s(1). Does m = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptt when three letters picked without replacement from {t: 2, p: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98187689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*w - 9, -15 = -3*w + w - 5*f. Suppose a - 4*d = 10, -9 = -5*a + 4*d + 41. Let c = 11 - a. Sort w, c, 5 in increasing order.\nAnswer: w, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from lerll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/31? (a) -45796 (b) -1\/3 (c) 2\/7 (d) 1 (e) 4 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) -88 (b) 5 (c) -0.3 (d) -0.2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + m + 48 = 0, -154 = 2*z - 5*m - 164 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x + 93. Determine t(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 137*z - 3. Let c(h) be the second derivative of 68*h**3\/3 - h**2 - 45*h. Let p(o) = 3*c(o) - 2*n(o). Let t(u) = -u**2. Calculate t(p(y)).\nAnswer: -17956*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*g)*(0 + 10 - 6).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -98656 divided by -5\nAnswer: 98656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70748484377.2 from -0.1.\nAnswer: 70748484377.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - l + 6 = 0, -18*l = 2*v - 14*l - 6. Let a(j) = -j - 1. Let b(h) be the second derivative of -7*h**3\/6 - 7*h**2\/2 + h. What is v*b(o) - 6*a(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159591 + 159591.418356. Let n = p + -0.14836. Let h = -0.27 + n. What is h rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:46 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3803, -3808, -3815, -3824, -3835?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n - 104. Suppose 2*s - 3*b = -5*b - 28, 0 = -s + b - 8. What is the smallest common multiple of t(s) and 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-248)\/6)\/(268\/(-18)). Let a = -230889956 + 850829474749\/3685. Let i = a + u. Calculate the common denominator of 101\/20 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 2*a**2 + 0*a + 0 + 1\/6*a**4 + 1\/6*a**3. Let m be q(-1). Sort -2, 0, m.\nAnswer: m, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(0*i**3 + i**2 - 4*i**3 + 2*i**3) + 0*i + i**3 + 0*i.\nAnswer: -3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8977 = 5*g, -4*g - 8986 = -4*o - 6*g. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2844673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**2*w**2 + 3*o**2*w - 105*o*w**2 + 2*o wrt o.\nAnswer: 14*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44264642 to the nearest integer?\nAnswer: 6653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 5*k + 44, 26*u - 30*u = 5*k + 4 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 4 + 14*l**3 - 31*l**3 + 16*l**3 + 2*l**2 in the form p + u*l**2 + x*l + y*l**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*w + 136*w + 4*i - 36 = 0, -i = -5*w + 79. Let s(c) = -c + 4. Let t be s(4). Is t > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 + 134 + 3*q - 94 + 92.\nAnswer: 3*q + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/3 or 93?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -454, -1936, -4424, -7930, -12466, -18044?\n\"Answer: -2*x**3 - 491*x**2 + 5*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 3*v + 7 = 0, 4*t = -v + 9. Suppose 0 = 3*m + 2*b - 59, -4*b - t = -m - 1. What is the remainder when 203 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2)\/(2\/(12\/(-27)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 503364195 to the nearest integer?\nAnswer: 22436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let o(p) be the second derivative of -3*p**4\/2 + p**3\/6 + 39*p + 1. Give i(o(b)).\nAnswer: 36*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 - 2*r + 9*r**4 + 4*r + (0*r + 6*r + 9*r)*(1 - 1 + 2*r**3) to the form y*r**4 + s*r**3 + k*r**2 + q*r + b and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7164, -7227, -7328, -7473, -7668?\nAnswer: -7919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 66008*v + 132032.\nAnswer: -4*(v - 2)*(v + 16504)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1118 by -43.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4395448 divided by 2.\nAnswer: 2197724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118357 by -5.\nAnswer: -118357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208))**2 - sqrt(104)\/sqrt(72).\nAnswer: -sqrt(13)\/3 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349 + 348.9. What is the closest to 0 in 0.2, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and 41\/539289.\nAnswer: 539289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21e (base 15) to base 11\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*o + 3564 = 0, -3*o - 8892 = 5*f - 10*f. Calculate the common denominator of 5\/(-6)*f\/(-320) and 59\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/429 and -101\/195.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*120\/(-25)*-3*(-825)\/(-99)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -5) + 1*5. Suppose -74 = g*b - 89. What is the smallest common multiple of 15 and (b*1)\/(30\/450)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/63 - 480\/(-14) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -25*j**3 - 83*j**2 - 14*j + 29. Let o(u) = 22*u**2 + 15 - 21*u**3 + 9*u**3 + 13*u**2 - 6*u - 77*u**2. Let b(w) = -5*o(w) + 3*z(w). Factor b(l).\nAnswer: -3*(l + 1)*(l + 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from auuauaauauau?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-944)*24\/(-15). Let m = s + 179\/295. Which is the second smallest value? (a) -0.13 (b) m (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -360266.27032 - -119299.2708. Let j = x + 240940. Let s = -27 - j. Round s to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2750764 and 3?\nAnswer: 8252292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8992\/16860*(-15)\/(-22).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.913 and 0.4.\nAnswer: 9.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 267 (b) 3\/7 (c) 0.8 (d) 2\/513 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 616690116 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17217216 to the nearest integer?\nAnswer: 4149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6775*i - 124295 = -368195 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -706, -591, -478, -367?\n\"Answer: -k**2 + 118*k - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*w**2 - w - 6*w + 7*w.\nAnswer: -305*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396 - -1488. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 - -115. Suppose x = 11*s - 8*s. Which is the third biggest value? (a) s (b) 3\/4 (c) -0.24 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -441432 - 13141?\nAnswer: -455013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6685, 26488, 59407, 105436, 164569, 236800, 322123?\nAnswer: 420532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.1 or -0.0354?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9550\/(-1125) - (1 + (-9 - 0)) and (-492)\/(-175) + (-4)\/7.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156) + -1*sqrt(156) + sqrt(156))))*-3*3)\/(((sqrt(72) - (-4*-1*sqrt(72) - sqrt(72))) + sqrt(72) - sqrt(72))\/sqrt(6)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 1787\/751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 + -2473\/11. Find u such that -2\/11*u**5 + 0*u**2 - n*u**3 + 0*u - 4\/11*u**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 7 = 5*y. Solve 0 = 5*u + y*s - 25, 0 = -6*u + u + 5*s - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*z - 2*z**2 + 2*z**2 - 519027 + 519894 - 2*z**4 - 6*z**4 wrt z.\nAnswer: -32*z**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266774430 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 267.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -977 + -6?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Let l be (n + -3)*(-1 + 1). What is the units digit of l + -2 - (-9 + -25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 + t + 2. Let q(a) = a - 1. Let d(f) = f**3 - 1. Let j(n) = 4*d(n) - q(n). Let v(h) = 4*j(h) + 6*p(h). Suppose v(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 2, q: 3, u: 2, l: 3}. Give prob of sequence qul.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 2 + 2)*(-3*w**3 + 0*w**3 - 5*w**3).\nAnswer: 168*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2672*h - 1 + 1 - 2272*h.\nAnswer: 400*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:57 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864292077?\nAnswer: 3, 11, 2521, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4937\/4 (b) 153 (c) 3\/8 (d) -156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -3*t. Let z be (6\/15)\/(t\/5). What is the second derivative of r**2 - r**5 - r**z - r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -7\/4 (c) 0 (d) 3 (e) 131 (f) -4 (g) -2\/289\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156927\/8173 - 14\/743. Which is smaller: 20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.173 times -871.7?\nAnswer: 16713.1041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 295, 721, 1147, 1573?\n\"Answer: 426*n - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x - 3. Suppose -33*y + 0*y - 594 = 0. Let s be (-28)\/10 - y\/(-15). What is g(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*2*144\/(-480)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + h + 14 = 6*h, 4*o + 4*h - 24 = 0. Let q = -0.03 + 0.37. Let s = -0.06 - q. What is the closest to 1 in o, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 + m. Let t(x) be the first derivative of -2*x**2 - 4. What is t(s(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1325.307ml to litres.\nAnswer: 1.325307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5 = q, 1423*q - 44 = 1428*q - k for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1133 divided by -30\nAnswer: 1133\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 72 = -4*g. Let d be (-2)\/(-9) - (-30)\/81*(-6231)\/62. Is g at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1624)\/(-161) - (15 - 5). Let t = -1.4 - 2.6. What is the closest to -14 in -1, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2207 times 13725\nAnswer: -30291075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 divided by 456?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 22*f**2 + 58*f - 12. Let v be l(3). Calculate the highest common divisor of 66 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 368, 0, -5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38728 and 16350632?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((6\/(-9))\/((-58)\/(-29))))\/((-33)\/(-231))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(6912) + sqrt(6912) + -3 - (-1 + sqrt(6912) + 1))**2.\nAnswer: -124434 + 1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17540.1117 + 17540. Which is smaller: m or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 54, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/96 and 149\/5206848.\nAnswer: 5206848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9836 - -9841. Let h be ((-1)\/(1 + 0))\/(-1). Solve -i*f + 25 = 0, h = -3*u - f - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001043123 - 3?\nAnswer: -1001043131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(-8))*b)*b*b)**1*b**(-7)*(b**(-4\/3)*b)\/b*b)**(1\/5) assuming b is positive.\nAnswer: b**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 29, -3 in ascending order.\nAnswer: -3, -1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 25*n**2 + 25*n + 28. Let o be m(26). Solve o*f - 6*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*x + 19 - 4, -3*f + 4*x = -20. Suppose f = -2*s + 40 - 34. Suppose -s*d + 165 = 63. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30852815678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17811390 + -32951390. Round n to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 38. Suppose -1027 = -2*j - 3*z, j + m*z = 3*z + 516. Suppose 9*p - 1456 = j. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1099912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 206 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*w - 102, -c + 5*w - 5 + 37 = 0. What is the remainder when c is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -139 - (34 + 24).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -321915876 from 294.\nAnswer: 321916170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6*n)**(-34))**(39\/5) assuming n is positive.\nAnswer: n**(-9282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 8*x = -5*k - 0*k - 4*x + 14, 6*x = -8*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 2. Let k(r) = -19707*r. Calculate l(k(m)).\nAnswer: 2718560943*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860802.\nAnswer: 2, 3, 143467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:08 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (0 + 2180 + (18 - 16))*(-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 19214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-3981)\/(-95544)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*i**3 + 8 + 2*i**4 + 2*i**4 + 321*i**3 to the form r*i + h*i**2 + c + a*i**3 + j*i**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -50857296\nAnswer: 10171459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 + 3*d**2\/2 + d + 1. Let i be g(2). Let x be i\/(-3) - -2*3. Solve -s + 13 = 3*h, x*h = -s - s + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -47961\/2 - 219*h - 1\/2*h**2 = 0. Calculate h.\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 80*m = 81*m - 92, 3*k = -4*m + 2 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 104*q**2 + 166*q - 9. Let x be s(39). What is the highest common divisor of x and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z + z + 3*z)*(5*z**3 - 3*z**3 - z**3) + 4*z**4 - 5*z**4 - 2*z**4)*(4*z - 4*z - 2*z) + z**5 + 0*z**5 + 0*z**5.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4540*p - 15915 = 107942 + 180323 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1690*t - 125*t**3 - 128*t**3 + 18*t**2 + 224*t**3 wrt t.\nAnswer: -174*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -54. Let h = 31 + c. Is 1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97156 - 0.09\nAnswer: -97156.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110 (base 2) in base 15?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 21*n + 21*n + 7*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from ccddccccccdcdc?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 31 = 5*h - l, -2*h + l = 2. Let d = -30 + 26. Let z = 8 + -6. Sort z, h, d in decreasing order.\nAnswer: z, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19619 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*z - 21 = 0, -5*k + 2*k + 17 = -z. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 3*x**2 - 2*x - 3. Suppose 6 = 5*j - 4. Let u(z) = -z - j*z**2 - z**2 + 2*z**2 - 1. Calculate -t(m) + 3*u(m).\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -21, -24, -27, -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52069021945 minus -3.72?\nAnswer: 4.24069021945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b - 106. Let o be v(-36). Solve -5*t - 7 = -2*r, o*t - 2*r + 4*r = -14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 5*b - 384. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*y + 166 = 0, 0 = -6*r + 4*r + y + 66. Suppose -2*n = o - 25036, r*o = n + 31*o - 12511. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*o - 60 = 0, -2*a + 40 = -14*o + 9*o. What is the remainder when 548\/20 + (-2)\/5 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/5 (c) 159 (d) 12584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*q)*(2*q - q + 0*q)*(3*q - 7*q + 15*q).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11249*i**2\/3 - 25457*i\/3 - 5918\/3.\nAnswer: -(i + 2)*(11249*i + 2959)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2061 from 14424209.\nAnswer: 14424208.7939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6, 5*m - 4*m = 2*l + 244175. Suppose -3*x = -m + 92981. Suppose 2*k - 5*k - x = 0. Round k to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1016 - 0.0516. Which is the biggest value? (a) i (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -672 + 686. Solve -s = n, -s + 3*n - 2 = y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.023641mg?\nAnswer: 4023.641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2*d)**(-1\/7)\/(d**4\/d**2) assuming d is positive.\nAnswer: d**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 455000990 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561820865?\nAnswer: 5, 112364173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 16\/555259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1799 is divided by 567.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o + (3 - 4 + 2)*(-o + 0 + 0))*((4*o - 4*o + o**2)*(5*o - 5*o + 15*o) + 0*o**3 - 2*o**3 + o**3).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/5, -29, 4\/3, -21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8 + 15 - 1 + 4*z + 0*z. Let g be t(-1). Solve 2*n - 4 = -g*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 4*j + 1. Let y be -3 + (-1 - -3) + 6. Let h(f) = -2 + y - f - 6 + 2. Give -2*h(a) - t(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -579.4 + 581.4. What is the closest to 2 in 74, a, 5, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.4 - -27. What is the second biggest value in -1, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m - 0*m. Let b(f) = -f**2 + 4*f + 4. Let k be b(5). What is the units digit of m\/k*(-7)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -286227488, -286227487, -286227484, -286227479, -286227472?\n\"Answer: m**2 - 2*m - 286227487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 1. Let r(g) = 5*g**2 - 11. Give -2*r(b) - 22*w(b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10.7 (b) -5 (c) 0.2 (d) -14 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6306 * -1.5.\nAnswer: -9459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h + 1. Let s(l) = -l**3 + 9*l**2 - 18*l - 1. Let y be s(6). Let i(r) = -r**3 + 5*r**2 + r + 3. Let z(m) = y*i(m) + 2*p(m). Give z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*l, 73*l + 9 = 70*l + 4*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 34 = -44*z + 42*z, 4*z = -3*r + 22. What is the remainder when 388 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 37 = 4*x, -7*x = 2234*g - 2229*g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:26 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1017822422 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78463*y + 78544*y + 1377 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(2\/9)*h**2*h**1*h*h**(-2)*h**(-4)\/(h*h*h\/(h\/(h\/h**(-1)))*h)*(h*h*(h**1*h)\/h*h)**13 assuming h is positive.\nAnswer: h**(425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 2*w**2 + 2. Let u be p(-2). Suppose 2*k - 286 = -u*b, 3*k - 4*k = -5. What are the prime factors of b?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -51. Let x be (8 - -2)\/5*i\/2. Find the second derivative of 6*z - 23*z**2 - 16*z**2 - 12*z**2 + x*z**2 - 1 wrt z.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -627082.78 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*l + 19. Let k(i) = 7*i + 4. Let t be k(l). Let q(z) = -z**3 - 11*z**2 - 8*z + 21. Let f be q(t). Solve 0 = -j + 6 - f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275819874?\nAnswer: 2, 3, 11, 41, 101929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 287259063929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 a when three letters picked without replacement from {h: 7, a: 5, e: 4}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6252454830 + -884.6.\nAnswer: 6252453945.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(140)\/(sqrt(7) + (sqrt(7) - (sqrt(7) + (sqrt(7) - ((sqrt(7) - sqrt(343)) + sqrt(7)))))))\/sqrt(4) + sqrt(605) + 2 + 2)**2*-3.\nAnswer: -8748\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-12))\/(2\/(-4)). Let z be 2\/(2910\/972 + -3). Let l = -324 - z. What is the smallest value in -3, l, 0.1, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.43000218 + -2.43. What is i rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2404\/69 + 155791\/4830. Let u = -3\/35 - j. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -2\/9 (c) -0.025 (d) 0.06 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by -32.\nAnswer: 69\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -17*w**3 + 202*w**2 + 5*w - 22. Let g(s) = 7*s**3 - 101*s**2 - 2*s + 9. What is -5*g(x) - 2*v(x)?\nAnswer: -x**3 + 101*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/(-120)*3\/26. Is z not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 6709 = 904. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 2*q + 2*q - 27*q + 6*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70370 rounded to the nearest 10?\nAnswer: 70370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u + 76 = 60*u. Solve 0 = -u*t - n - 12, -11*t - 4*n + 15 = -16*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1821.907 decades?\nAnswer: 18219.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 9*d + 3. Let i be v(6). Suppose -5*z + 3*j + i = 0, -4*z = -0*z + 4*j - 4. Solve -3*g - 2 = -y, g + 21 = 5*y - z*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 2*u + 2*u + 4 - 4 + u + (-2 + 1 - 1)*(3*u - u + 0*u) + 0*u - 3*u + u + 19 - 2*u - 19 - 2 + 4*u - 4*u - 2*u.\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 12*y + 11. Let p be u(13). Let q(t) = t**2 - 5*t - 9. Let c be q(p). Solve c*n + 1 = -14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (3 + sqrt(891))**2) - (sqrt(396) + -3)*5*-4.\nAnswer: -4535 - 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 138648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13964 = -568*i - 66*i - 6958 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198993956 by -5.\nAnswer: 198993956\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325 + 2646?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 897455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*r**2 + 83*r**2 + 1 + 2 - 38*r + 30*r**2 wrt r.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 47. Let m(j) be the third derivative of -1\/120*j**6 - 9*j**b - 1\/20*j**5 + 0 + 1\/24*j**4 + 0*j - 1\/6*j**3. Determine m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1620541 and 43602.\nAnswer: 9723246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 3466*o\/9 + 69020.\nAnswer: 2*(o + 203)*(o + 1530)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**5\/60 - u**4\/12 + 2*u**3\/3 - 12*u**2 + 25. Let s(x) be the second derivative of f(x). What is s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-525)\/(-250)*(-6)\/(-3))\/(13\/390*18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 8*l**2 + 8*l - 3. Let y be n(7). Suppose 5*a - 3*f = -y*f + 10, a = 4*f + 2. Which is smaller: a or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 110198*f - 11130005. Calculate c(101).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15830 less than or equal to -15431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-2 - (7 - 122\/8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*x, -5*x + 8 = -4*x - q. What is the smallest common multiple of 7 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g + 5*g = -7*g - 210 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -569787.\nAnswer: 15\/189929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 + 7*w - 17. Let n(g) = g**2 - 2*g. What is -l(u) - 4*n(u)?\nAnswer: 5*u**2 + u + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 54 = 55*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3576 or 3573?\nAnswer: 3573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + 0)\/(924\/(-931) + 1) is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3685\/3474 + 1\/193. What is the common denominator of (-8)\/12 - (-310)\/96 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42325 = 2842*v + 2497 - 218794 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 19344342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzddidea. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 148609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 17}. Give prob of picking 2 d and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:16 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 486\/7. Let x(r) = r**3 - r + 3. Let i be x(0). Suppose 2*h = i*h. Is t at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 38 + 3*z + z)*(4 + 4 - 6) + (-6*z + 3*z + z)*(-4 - 4 + 2) + 4*z + z - 3*z to v + a*z and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 11:32 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116186 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719628?\nAnswer: 2, 3, 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 61.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 23. Let y(n) = 3*n + 35. Calculate -8*b(f) - 5*y(f).\nAnswer: f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53160 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*x**3 - 520*x**3 + 182*x**3 - 165*x**3.\nAnswer: -845*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.41078mm in centimeters?\nAnswer: 5.741078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -47979*k - 2782771. Calculate f(-58).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddlddoddd. Give prob of picking 3 d and 1 l.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 94*w - 102. Let m be h(39). Is 55 a factor of 5\/(9\/m*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 946 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -6 + 14. Let r(g) be the first derivative of 1\/9*g**2 + 0*g - 1\/27*g**6 - 4\/45*g**5 - p + 0*g**4 + 4\/27*g**3. Find u such that r(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.3. Let v = -0.3 - j. Let x = -0.3 - v. Which is the closest to x? (a) 4\/7 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 4, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10024 - -0.08?\nAnswer: -0.02024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) -0.5 (c) -2.5 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 24, 50, 76, 96?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68888 and 981.\nAnswer: 619992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 26*r**3 - 23*r**3 + 50*r**3.\nAnswer: r**3 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, 1 w, and 1 x when four letters picked without replacement from xpxxrooxrropwpoogpoo.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24050 (base 7) to base 14.\nAnswer: -2397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l + 88. What is the tens digit of z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + sqrt(1100))**2.\nAnswer: 100*sqrt(11) + 1123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {d: 1, a: 4, w: 5, u: 2, e: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18056055*t**3 + 551806021*t**2?\nAnswer: 108336330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 25, 65, 143, 271, 461, 725?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/11)*x))\/x**(-1\/3)*(x\/(x*x**(-9)))\/(x\/(x**(-4\/7)\/x)) assuming x is positive.\nAnswer: x**(1520\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:22 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 73, 65, 41, -5?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2348?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -50040 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 + 5*z**2\/2 + 6*z - 117. Suppose c - s = 5, -5*s + s + 12 = 4*c. Suppose -c*n = -n - 18. Determine b(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31 (b) 0.3 (c) -3\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*n - 484 + 653 = -3967 - 547 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 2*c - 2. Let d(u) = -6*u**2 - 5*u + 5. Let v(o) = 2*o + 14. Let m be v(-8). Calculate m*d(s) - 5*x(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*r - 255*r = 14454. What is the lowest common multiple of 14 and r?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from {x: 8, v: 1, r: 4}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 6.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 43 = -5*v + 32*u, 2*v + 4*u = 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-28)*l))\/l**(6\/7) assuming l is positive.\nAnswer: l**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 9, 7\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -d - 4, -7*z = -9*z + 4*d + 4. Put 0, 5, z, 1 in descending order.\nAnswer: 5, z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 94 = 4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 126. What are the prime factors of q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c*h**5 - 115*c*h**3 - 69874*c*h**2 wrt h?\nAnswer: -780*c*h**2 - 690*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17)**(-2\/21)*(k**15)**14 assuming k is positive.\nAnswer: k**(4376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -2\/5 (c) 0.769\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3*b - 35 = 0, 5*b - 6 = -6*l + 50 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-4))\/3*(4518\/(-24))\/251?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2773 and 640240\/231 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -5 (b) 2\/13 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 2, -10, -0.05, 174, -3\/2, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 104344*o\/5 + 2721917584\/5.\nAnswer: (o - 52172)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -1027*s + 1022*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472933 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 36 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**2 - 197 + 199 + 98641*i - 334*i**2 - 98641*i.\nAnswer: -362*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8553*j**2 + 2274*j wrt j.\nAnswer: -17106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02355 + 12.04445. What is z rounded to one decimal place?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -12. Suppose -4*k + 4*m = -280, k = -4*k - 2*m + 364. Suppose v - k = -v. What is the highest common factor of v and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 + 0.5. Which is the nearest to 1? (a) 1\/4 (b) h (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20366 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1536\/72 - (-2)\/(-6). Suppose 4*v = 29 - o. Let i(d) = d + 11. Let y be i(-6). Solve -v*s - 2*c - 8 = 0, -10 = y*s - 4*c + 7*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70, -68, -66, -64, -62, -60?\n\"Answer: 2*q - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826 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: Suppose -f - 13 = -6. Let g = f + 7. Let y be (-1)\/(3\/30*-2). Solve -y*c = -g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -13.8?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -352 + 540. Suppose 5*z - z - p = 0. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 2*u + 5. Let t be 0\/(-29) - -2*15\/6. Let q(m) = -m**2 + 3*m - 6. Determine t*v(r) + 4*q(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 465 + -12087\/26. Let a = 3678 + -191249\/52. Let w = u + a. What is the common denominator of w and -79\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1083*l**4*y - 4*l**3*y + 2*l**2*y - 9*l**2 - 90*l*y - 3*y wrt l.\nAnswer: 25992*l*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**3\/7 + 12*j**2\/7 - 51*j\/7 - 18\/7.\nAnswer: 3*(j - 2)*(j + 3)*(3*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let p be (w\/12)\/((-1)\/(-9)). Solve 3*u = -p*b, -5*u - 4 - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 + 131. What is the common denominator of 117\/56 and (141\/(-70))\/((-30)\/d)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249924 + 249806.051. Let i = g - -118. What is i rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*t - s, -3*s = 2*t - 2 - 11. What are the prime factors of (5\/1)\/(8\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 divided by 4?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16314209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 - -106. Does 12 divide 155*33\/21 + g\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y. Let l(f) = 3*f**2 - 2. Let n(p) = 4*p**2 - 3. Let x(a) = 3*l(a) - 2*n(a). Calculate x(c(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 3 - 3 + (1 + 3 + 4)*(6 - 2 - 3))*(7 + 56*f**2 - 7).\nAnswer: 1008*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2897496380 to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 0. Suppose 4*m - 13 = 7. Let z = -7193\/2 - -3596. What is the biggest value in z, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2183 + 20902 = 95*p. Let l = -3 + 7. Suppose -5*y + l*y = -27. What is the highest common factor of y and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*d - 21, -3*d + 17 = 2*d - 2*o. Suppose 3*p + 0 = d*t + 9, -3*p + 9 = -4*t. Let m(k) = 2*k + 67. List the prime factors of m(t).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 15*f**2 + 16*f + 12. Let h be x(-11). Suppose 5*d + 6*a - 484 = 2*a, -5*a - h = -3*d. 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 p(k) be the third derivative of -7*k**4\/24 - 3*k**3\/2 + 39*k**2. Let w(s) = -30*s - 36. Let f(b) = -9*p(b) + 2*w(b). Give f(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 6 = -227 + 16 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*j = 275*j + 1020 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36284460 divided by 7256892?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/20*78\/(-3003)*44.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/9 (c) 5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 6*d - 4*d)*(d**2 + 5*d**2 + 5*d**2) + 39*d**2 - 39*d**2 + 50*d**3.\nAnswer: 83*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.022 * 1143.\nAnswer: -2311.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -6, 5, 2\/13, -5\/264, -0.09, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/17))**(-2\/177) assuming m is positive.\nAnswer: m**(8\/3009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.4 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 4*n**2 + 5*n + 3. Suppose -2*b + 20 + 124 = 0. Let v be (2\/3)\/((-16)\/b). What is d(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 14*t**2 + 35*t**2 + t - 5*t + 68*t**2 + 6*t - 32*t**2.\nAnswer: 78*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1826094*w + 1826094*w + 99*w**2.\nAnswer: 99*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820284987 to the power of 1\/2, to the nearest integer?\nAnswer: 53106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**3 - 1\/20*v**5 + 0*v**4 - 1\/2*v**2 + 0 + v. What is the derivative of z(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 1, e: 3, b: 7, d: 3, k: 1}. Give prob of sequence ekse.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 9*v**2 + 16*v + 17. Suppose 5*q = 4*r - 19, 5*q + 14 + 37 = -4*r. Let p be a(q). Solve -3 = p*x + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65481 times 0.4?\nAnswer: -26192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24da10 (base 14) to base 2\nAnswer: 100110101010100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 1, -7.\nAnswer: -7, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 427 - 1273?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**26)\/(v*v\/(v\/v**(2\/29)*v)))\/((v**(2\/21)\/v)\/v*(v*v*v**(5\/11))\/v) assuming v is positive.\nAnswer: v**(183427\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let u be 2\/(1\/(-12)*q). Calculate the highest common divisor of u and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4895895mg to micrograms.\nAnswer: 489.5895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:30 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/3 (b) 8 (c) 1\/47 (d) -0.08 (e) 1227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -94\/29, 0.06, -4, 597?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(17) + sqrt(833))*1 - (sqrt(85)*-4 - sqrt(85) - sqrt(85))\/sqrt(5))*-2.\nAnswer: -28*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-168)\/((-32)\/4). Let f be 2\/(2 + 32\/q). What is the greatest common divisor of f and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -88, -154?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**3 + 2*f**3 - 6*f**3 + (-2 - 2*f**2 + 2)*(2*f + 0 + 0) - 4*f**3 + 5*f**3 - 3*f**3 - 3*f + 3*f - 3*f**3.\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 12 - b**2 + 2*b**2 - 4*b + 5*b. Is w(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-10 - -5)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 4*d**2 - d**3)*(2 + 0 - 2 - 62077*d**2 + 50367*d**2).\nAnswer: 11710*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*v = 4 + 11, f = v + 3. Let i be f\/8 - (-2)\/8. Suppose 2 = -p - z, -3*p + 2*z + 1 = -3. Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.1. Let s(m) = m + 15. Let k be s(-11). Suppose 5*g + 6 = -k. What is the third smallest value in g, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 2*k**2 + k + 1. Let c be h(2). Let r = c - -5. Suppose w - r + 52 = y, -3*y + 108 = 3*w. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -392.3.\nAnswer: -392.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.97 + -3.25. Let l = m + 0.22. Let z = 6.9999992 + l. What is z rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 5*s - s + 15*s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17900636 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223 - -377. Let z be 8\/(-2)*(-9)\/18. Let m = z - -12. Calculate the highest common factor of t and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -194440\nAnswer: -1\/38888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/150*-7*(-4)\/14*(-10)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-77) - (-9 + (-1168)\/(-88) - 4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qypqqqkpoyp. Give prob of sequence pkyy.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r + 7 - 8)*((-2 - 1 + 0)*(-23 - 18 + 12) + 1 + 2 - 5).\nAnswer: 85*r + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 6:35 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -22*u**3 - u**2 + 1. Let w be v(-1). Suppose 3*s = -b + w, -5*s + 4*b = -5 - 9. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/105 + v**6\/12 - v**5\/15 - 2*v**4\/3 + 2*v**2. Suppose q(w) = 0. What is w?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*m - 5)*((11 - 4*m**2 - 11)*(-1 + 0 + 2) + (0*m + 3*m + 0*m)*(-27*m + 43*m + 67*m) + 0*m**2 - m**2 + 3*m**2).\nAnswer: -494*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.739 in -0.3, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let d be 2*(-2 - (-2 - 3)). Let v(s) = s**2 - 4*s + 7. Let f be v(d). Let a(h) = h - f + 19. What is a(r(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t**5 + 3964534*t**4 + 327380803848*t**3 - 11188970862506*t**2 + 96507936355560*t - 15775366968008 = 0. What is t?\nAnswer: -165206, 1\/6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322201329?\nAnswer: 3, 41, 61, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12702 (base 13) to base 2\nAnswer: 1000010101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**6\/90 - 7*z**5\/30 - 37*z**3\/6 - 34*z**2. Let y(f) be the first derivative of t(f). Factor y(q).\nAnswer: -4*q*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6245 + 6246. What is the smallest value in 0, -22, o?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*n - 8 = -0*d, 12 = 4*d - 3*n. Suppose d = -2*m + 3 + 5. Suppose -5*x - 12 = -2*x, 348 = m*b - 2*x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 1607, 3557, 6273, 9755, 14003?\nAnswer: 19017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**2 - 5*s - 14. Let v be u(-6). Let f = v + 367. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1512*y + 1 - 165*y**2 - 1512*y)*(-5 - 8 - 13).\nAnswer: 4290*y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*s**2 + 37*s - 9 = 0. What is s?\nAnswer: 9\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 26*q + 18. What is the tens digit of n(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5431 + 5449. Solve 5*x = -2*m + m - w, 2*m - 3 = 3*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 90*t + 465. Determine d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {r: 8, j: 6, u: 3}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 4, 0.05, 0.1, -10\/7, 0 in increasing order.\nAnswer: -10\/7, 0, 0.05, 0.1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000719384 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-12)*(-8)\/6. Solve 0 = d*q + q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2114, -4228, -6342?\nAnswer: -8456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 47. Let m be (6 - 3) + s - 141\/3. Let g = m + 87\/2. Which is the closest to g? (a) 3\/2 (b) -1.4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 14*g - 841*g**2 - 71*g.\nAnswer: -841*g**2 - 97*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5325 + -2834. Round g to the nearest ten.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27178 + -26955. What is the greatest common factor of 669 and i?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 224228352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 20, 3, -22, -55, -96, -145?\n\"Answer: -4*w**2 + 3*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3 - 3)*(3 - o**3 - 3) + (0*o**3 + 0*o**3 + o**3)*(o + 0*o - 3*o) - o**4 - o**4 - 2*o**4 + 3*o**4 - 3*o**4 + o**4.\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 90*v = 63*v + 6768 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(((-12)\/(-1))\/36*-18)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460499871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 12*u + 406. Let b(t) = -t**2 - 9*t + 405. What is -4*b(z) + 3*c(z)?\nAnswer: z**2 - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 45538*o**2. Let n(p) = -p + 54. Calculate n(h(q)).\nAnswer: -45538*q**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 349*x**2 - 390*x - 1172. Is 43 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*z - 2. Let p = -930.4 + 930. Which is the closest to z? (a) -1\/3 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 2*(sqrt(143) + sqrt(143)*4) - sqrt(143))\/(sqrt(88)\/sqrt(2)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 24*r - 21*r + 7, 3*k - 1 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 634 + -303. Let o = -338 + y. Which is greater: o or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 2*n**2 + 1. Let z be r(3). Let s be (-10 - z)*(1 - 2). Suppose -4*g + 6 = -s*g. Solve -3 = -3*l - 4*u, 0 = g*u + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14) + -130 - (-5 - -1 - (9 + 0))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 5*t - 2 + t**2 + 5*t. Let f be r(-7). Find the third derivative of -v**2 - 4*v**f + v**5 - v**5 + 2*v**5 wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008330178 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -47701 rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 724673*o**2 + 356401*o**2 + 368256*o**2.\nAnswer: o**3 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 11.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-10) - 12\/20. Let j be 2\/(-4)*v*0. Let t be (-10)\/4*4\/25. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 14. Suppose 0 - 48 = 4*t. Let b be d(t). Is 5 a factor of 45\/(-18)*b*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h + 76 = -5*d, -144 = -5*h + 4*d. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/20 + d**3\/6 - 3*d**2. Let z = -1 + 3. Is 13 a factor of p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 14*h + 61)*(0*h**2 + 0*h**2 - 3*h**2)*(2 - 1 + 1)*(7*h**2 + 20*h - 20*h) + 2*h**5 - 2*h**5 - 2*h**5 + h**5 - 3*h**5 + 7*h**5.\nAnswer: 591*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -14 (c) 2 (d) 22 (e) 1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(-2*(-4)\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155595 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 60*i**2 - 53*i**2 + 5)*(0*i**3 - i**3 + 0*i**3).\nAnswer: -7*i**5 + i**4 - 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*b, 3*c + b - 13 = -4. Let r be (c - 3)*(0 + 5). Suppose 4*u = -m - 16, 13 = -0*m - 3*m - r*u. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164052 and 1296?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 0*c - 209*c**2 - 118 + 119 in the form l*c**2 + r + j*c and give l.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -21*m**6\/40 - m**5\/20 + m**4\/24 + m**3\/2 + 8*m**2. Let k be g(-1). What are the prime factors of (4 - 2 - 3) + k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596937*r - 660134*r - 483022*r - 752902*r.\nAnswer: -1299121*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-5))\/(4\/10) - -45 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*1.185.\nAnswer: 10.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/50 in 0.3, -0.02, -3, 0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) - (-89120)\/35. Let p = -1291 + k. What is the common denominator of -29\/2 and p\/(-55) + 4\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1. Let m(t) = t + 10. Let r(y) = -m(y) + x(y). Let n(w) = -w**2 + 19. Let i be n(-5). What is r(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + 7.13. Let r(h) = -3*h**2 - 16*h - 16. Let d be r(-4). What is the closest to 0 in u, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3963, -33, -4 in decreasing order.\nAnswer: -4, -5, -33, -3963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 + 4. Which is the third smallest value? (a) p (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**3*f)\/((f**10\/f)\/f))\/(f**(-2)*f**(3\/11)) assuming f is positive.\nAnswer: f**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 653*p - 635. Let w be v(1). Solve -q = -5*y - 2*q + 6, y - w = 4*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*d**2*w**2 - b*d*w - 5*b*w**2 - 4*b - 27*d**2*w**2 - 2*d**2*w + 10*d wrt w.\nAnswer: 4*b*d**2 - 10*b - 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y - 5. Let s(n) = -3*n - 1 - 2 + 6. Let p(v) = -3*i(v) - 5*s(v). Let f(r) be the third derivative of -r**4\/6 - 2322*r**2. Calculate f(p(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 38. Solve 0 = -d*a + 8 - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110110010100 - -10?\nAnswer: 1000110110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 + 12 = 2*l, 0 = 2*l + 4*r - 20. What is the lowest common multiple of 6 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2302 + 1?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0*w**3 + 0*w**3)*(8 - 1 - 5)*(-9 - 6 + 7).\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 3*u. Let j be (-8)\/(-20) - 37\/555. What is the closest to u in 0.2, -3, j, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3653668 litres to millilitres.\nAnswer: 365.3668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25312 by 1808.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4, 4*s = -3*d + 6*s - 223. Let q be d\/(-10)*16\/24. Solve i = 5*t + 9, -2*i + i - q = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*c + 10944 = -3682 - 4330 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3) - (-696)\/(-261). Solve -121*p + 4 = -119*p, -q*x + 2 = -3*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/31, 1\/7, -11, 5.5, 0.02, -0.2?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - 1) + 0)*1. What is the units digit of (-4*4)\/(-1 - f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + 246. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 18 + 10 + 12 + 39*h**2 - 40. Let j(t) = 3 - 3 + 2*t. Determine j(s(c)).\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2052*x**6 + 7*x**5 - 3*x**3 - 46999*x**2 + 29*x - 5?\nAnswer: 246240*x**3 + 420*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 6)*(0*q**2 - 2*q**2 + q**2) - 3*q**2 + 3*q - 5*q + 4*q**2 + (-3*q + q**2 + 3*q)*(1 + 2 - 4).\nAnswer: -8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 18 + 28 - 4*q**3.\nAnswer: -4*q**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526643 is divided by 15489.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -2*g**4\/3 - 82*g**3\/3 + 191*g**2. Let z be t(-10). Is z < -3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2 - 2*j**2 - 4*j + 2*j - 4*j**2 + 7*j**2. Let b be w(-2). Suppose -u + 8 - b = 0, 239 = 5*k - 3*u. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 239, 15, -653, -1981, -4185?\n\"Answer: -36*t**3 - 6*t**2 + 46*t + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 j when four letters picked without replacement from {e: 1, j: 1, o: 1, v: 2, i: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0 + 0*o**2 - 2\/15*o**6 - 1\/3*o**4 + 0*o**5 + 4*o + 0*o**3. What is the third derivative of x(i) wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/20 - c**2. Let s(u) = 2*u**2 + 3*u + 6. Let i(k) = 3*k**2 + 4*k + 8. Let j(m) = -3*i(m) + 4*s(m). Calculate j(g(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 24\/(-10) + (-7270)\/(-50). Suppose 3*b = 5*g - 293, -3*g - 2*b - 32 + 204 = 0. What is the highest common divisor of m and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 46 = -4*j, -b - 90 + 31 = -5*j. Let c = -19 + j. Let f be 35\/10*(-8)\/c. Solve 3*k - 3*t = -21, 4*k - f*t = -6*t - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*y - 100*y + 190*y + 9 - 31 + 22.\nAnswer: 316*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(108)*1)**2 - ((-3*sqrt(108) - sqrt(108))**2 + -5)) + -3 + (sqrt(108)*1 + -3 + -1*sqrt(108)*1)**2)*-3.\nAnswer: 6447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:21 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19378 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Let r = 47 - 142\/3. Which is the nearest to 1\/5? (a) -0.1 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 8*o - 238 = 0. Let s = -7.1 + 7. Which is the closest to s? (a) 1 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**4*f**2*f*(f*f**(-6))\/((f\/f**4*f)\/f)*(f**(-2\/7))**39*(f\/f**8*f)\/((f\/f**(-3\/5))\/f) assuming f is positive.\nAnswer: f**(-411\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(75\/10))\/((272\/(-18))\/17).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 take away -980?\nAnswer: 978.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (22 + -21)) + 19 - (20 + -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20200234 - 22?\nAnswer: -20200311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.004 + 0.0040045. Round c to 7 decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25295973 divided by -55841?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5188 + -4083. List the prime factors of q.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3867 - -155?\nAnswer: 4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b - 520?\nAnswer: -4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 5. Let n be c(6). Let w(b) = -b**3 - 27*b**2 - 181*b - 7. Let l be w(-12). Sort -14, n, l, 0 in descending order.\nAnswer: l, n, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9089\/4320 + -13\/160. Suppose 0 = 4*y - 15*y + 506. What is the common denominator of y and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2, 0, 4, -910186 in increasing order.\nAnswer: -910186, -2, 0, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**4\/24 + 13*b**3\/6 - b**2 + 12. Let q be w(-8). Solve 0 = -4*f + 11 + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2\/2 + 2066895*v + 16535320 = 0. What is v?\nAnswer: -8, 826766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-204))\/((-38)\/(-4) - 11).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 4) + -24 - (3 + -10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 427*q**3*x**2 - q**3 + 46*q**2*x**2 - 2*q**2*x wrt q.\nAnswer: 2562*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 21*p**2 + 9*p - 1. Suppose -8*i = -4*i - 4*m - 24, m - 8 = -i. Is l(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2513.77 to the nearest 10.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggyttooggge. Give prob of sequence to.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -10*o + 12. Solve -7 = -5*t - y, 0 = -o*y + 8 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 509207 and 7?\nAnswer: 3564449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 3. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxnq when four letters picked without replacement from wmmwwwwxwmwxwmmqwn.\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c85c (base 13) in base 5?\nAnswer: 31200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 4*m. Let v(o) = -14*o**2 + 16*o + 9. Let c(b) = -6*b**2 + 7*b + 4. Let a(k) = -9*c(k) + 4*v(k). Give 7*a(g) + 2*z(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)*s)\/(s\/(s\/(s**(-5)\/s)))*(s*s**(1\/2)*s)**(-13))**(7\/10) assuming s is positive.\nAnswer: s**(-1099\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/13*r**3 + 16\/13*r**2 + 0 - 6\/13*r + 2\/13*r**5 + 0*r**4 = 0 for r.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/7 + 1884*k**2\/7 + 80190*k + 7284200 = 0 for k.\nAnswer: -385, -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 4*m + 10 + 18*m**4 + 12*m - 24*m**4 + 13*m**4 as x*m**3 + i*m**4 + y*m + z + g*m**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -7 - 3) + -7 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 10893528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -3 - 126\/(-9). Suppose 7*n = 3*n + f. What is the second derivative of 2*y**3 - 5*y + n*y + 0*y wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*h + 345 + 183 = 0, 0 = -4*c + h - 420. Let y be (1 + 0)*(-16)\/c. Does y = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14907)\/(-5) - (-7)\/(-105)*6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 times 905?\nAnswer: 270595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 12*n**2 + 17*n + 48. Let z be b(-13). What is the common denominator of (-3)\/z*2*3192\/855 and -26\/131?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/(-28) + 2 + 0. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*w + 112320 = 100*w. Calculate the greatest common factor of 676 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**5\/120 + k**4\/4 - 2*k**3\/3 - 1. Let n(l) be the third derivative of b(l). Let z be n(-6). Solve -2*y - z = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*i + f - 4*f, f = i - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/36 and -149\/173006868.\nAnswer: 519020604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose -g*f + 11 + 19 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/9*j**4 - 2\/9*j**3 + 4\/9*j**2 + 8\/9*j.\nAnswer: -j*(j - 2)*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3235936, 6471923, 9707912, 12943903, 16179896, 19415891, 22651888?\nAnswer: 25887887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 2*t - 11 - 28.\nAnswer: -3*t - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -19098.37 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2452)\/(-18) + 4\/(-18).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 29*f - 10. Determine a(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 752924*-0.199\nAnswer: -149831.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19530040 by -4882510.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 776007 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d - 1. Let s(y) = -4*y**2 - 4*y + 2. Let z(n) = s(n) - 5*v(n). Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j = 4*q - 18, 0 = -3*j - 4*q + 21. Let x(a) be the third derivative of 0 + 1\/12*a**4 - 2\/3*a**3 - 44*a**2 + 0*a. What is x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2103219417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4\/5)*i)\/i**(-1)*i**(-6)*(i*(i*i**5)\/i)\/i assuming i is positive.\nAnswer: i**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44 - ((18 - (-9 + 21)) + 8)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 3*x**2 - 4*x + 3. Let y be p(4). Suppose y*i - a = 11, 3*a + 7 + 14 = 3*i. Solve -5*u + 4*q = 10, q - i = 4*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7674943 or -7674941?\nAnswer: -7674941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 + 423*g**2 + 164*g + 506. Calculate t(85).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -215, 4 in increasing order.\nAnswer: -215, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/243*18)\/((-2)\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 1254.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*m**2 - 585*c*m**3 + 301*m**3 + 2 wrt c.\nAnswer: -4*c*m**2 - 585*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -7389, -38, 0.1, 0.01, -1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49801, 199152, 448051, 796492, 1244469, 1791976, 2439007?\nAnswer: 3185556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 547 + -533. Suppose -3*k = -g*k. Solve -4*q + 4*u - 12 = k, 2*q + 2*q - 5*u + 16 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -27*d + 452. What is the remainder when 659 is divided by a(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y + y - 3*y + (0*y + 5*y - y)*(-2 - 4 + 4).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 12. Calculate the highest common factor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518971 is divided by 582.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/16 - 2\/8. Suppose 0 = -q*w - 2*w + 60. Solve 4*z + 30 = -3*i + w, -3*i - 10 = 2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) + -1*sqrt(2499)*-1)\/(sqrt(15)\/(sqrt(720) + (2*sqrt(720) - sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(5)))*-1.\nAnswer: -350*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 + 249930*g**4 - 6939806148*g**3 + 64204759714902*g**2 + 578405143950759*g = 0.\nAnswer: -9, 0, 27773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1767*w + 6927*w - 2369*w as j*w + o and give j.\nAnswer: 2791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15389740 is divided by 29941.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 80\/140 - 240\/70\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-35) + 36\/10. Suppose 0 = -i + 3, -n*c - i - 67 = -8*c. Let o = c + -11. Calculate the lowest common multiple of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.1. Suppose -9 = -5*j + 2*t, 0*t - 5*t = -4*j + 14. Which is the nearest to i? (a) -3 (b) -4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25516\/119 + 18\/119. Let x = k + -214. What is the closest to 0 in x, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 20. Suppose -5*h - 25 = -a. Let q(p) = 3*p**2 + p + 2. Let k(l) = -10*l**2 - 3*l - 7. What is h*k(y) - 7*q(y)?\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 - ((-3 - 3) + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:11 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 68444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 - 173 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u + 9. Give m(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:33 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67739 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2528 divided by 316.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 509501.6 years in decades?\nAnswer: 50950.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2097, 2100, 2115, 2142?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2071183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-15)*(-5 + 0). Let q(v) = v**3 - 7*v**2 + 11*v - 6. Let m(u) = 5*u**3 - u**2 + u. Let y be m(1). Let w be q(y). Is w bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*-1*414\/690.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 - 2*l**2)*(-4*l + 2*l**2 + 4*l) - 2*l**4 - 12561*l**2 + 12673*l**2 - 11*l**4.\nAnswer: -17*l**4 + 112*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 9:58 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2\/7, 2876?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-68 - -2 - 0). Let k = i - 32. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeexehhxhtthhthteht. Give prob of sequence et.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13630603 is divided by 149?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1629308079 to the nearest integer?\nAnswer: 40365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 0*g**2 + 0*g**2 + (-4*g**2 - g**4 + 4*g**2)*(-7 + 3 + 5).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*8\/(-4)*14. Suppose -2*k - 2*k = d. Let i be -2 - (k + -1)*(-43399996)\/16. Round i to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*f + 7896 = -94*f + 34*f for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 3*h**2 + 0*h + 1\/12*h**4 + 3 + 11\/6*h**3. Determine i(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 13*c**2 + 2*c - 62. Let z be a(-12). Let g = -1 - -4. Suppose -g*v + 152 = -z. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:15 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 406 in -3, -2, 20, -7.1, 3\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 328335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x**2 + 4*x + 3. Let i be a(-2). Suppose i + 129 = 5*d. Suppose 12 + d = 4*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 50. Let d(z) = z**3 - 8*z**2 - 8*z - 7. Let o be d(t). Solve 0*y = y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -5.\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 33) + 0 + (0 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163348351 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t - 5*i = -6, 2 = -4*t - 3*i. Let o be (6 - 0)\/(t - -5). Solve o*p - 18 = 4*m - 0, 3 = 3*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15827, -15579, -15171, -14609, -13899, -13047?\nAnswer: -12059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 19. Let p be i(-10). Suppose -2*w - p + 5 = 0. Suppose x - 7 = r, -5*r + r = w*x - 14. What is the remainder when 7 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 184.28 and -18.51?\nAnswer: -3411.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(-4*i**3 + 0*i**3 + 0*i**3) + 1309 - 3*i + 2689*i**3 - 1309 + 3*i.\nAnswer: 2701*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(3))\/sqrt(8))\/(-2*sqrt(300)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72, -84, -112, -162, -240?\n\"Answer: -z**3 - 2*z**2 + z - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**3\/6 - 103*x**2\/2 + 854. Determine h so that c(h) = 0.\nAnswer: -206, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*c**3*r**2*v**2 - 21827*c**3*r*v**3 + 26*c**3*v + 41*c**2*r**2*v**3 + 110*c*r*v - 46*v**2 wrt v.\nAnswer: -130962*c**3*r + 246*c**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-9))\/(-1 + (-24)\/(-27)). Find the second derivative of 11*r**q + 173*r**2 - 173*r**2 + 20*r wrt r.\nAnswer: 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 3*s + 2. Let i be r(4). Let t be -12*i\/(2 - 0). What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*r = -336, 3*t - 205 = -5*r + 17. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 31403, 318 in descending order.\nAnswer: 31403, 318, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11144116?\nAnswer: 2, 379, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + 1552035000?\nAnswer: 1552035055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26 and 1043.2.\nAnswer: 1017.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*d + 4991*d + 199620 = 0 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 74\/(-4)*(-54 + 52).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24\/7*z**2 - 16 + 124\/7*z = 0 for z.\nAnswer: 7\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = -5*m, -p - 13 = -3*p + m. Let k be 2\/p*-14 + -2. Let r(q) = 370*q**2 - 3*q + 3. Let a be r(k). Round a to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-91)*1040\/640\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 95425 in descending order.\nAnswer: 95425, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:32 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n. Let v = 0 + 4. Let x(r) = 5*r - 1. Let m(k) = v*d(k) + 3*x(k). Let o(h) = -9*h - 5. What is -7*m(u) + 4*o(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -203738*m + 24856037. Calculate v(122).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/18)\/((-1)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 478835 and -0.08582?\nAnswer: 478835.08582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0213 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.8 - 18. What is the closest to r in 1\/3, 0.5, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7641 at least 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 48337971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11752600*d**4 + 5760260*d**2 wrt d?\nAnswer: -282062400*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -35. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 5) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2123 + 4?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*a + 4, 0 = k - 2*a - 2 - 10. What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(7 + (-305)\/45)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 710*g**3 + g**2 - 5*g - 7. Let o be u(4). Suppose -o = -3*r - 2*n + 15532, 2*r - 40662 = 4*n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/3 (b) 0.017 (c) -4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 41 (c) -0.018 (d) 9\/5 (e) -0.07 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 - 88*h + 2. Let q(x) = 6*x**2 - 83*x + 1. Give 5*j(n) - 6*q(n).\nAnswer: -6*n**2 + 58*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3483 or -3482?\nAnswer: -3483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 (base 14) in base 15?\nAnswer: -15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36617062\/11 or 3328825?\nAnswer: 3328825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) - (sqrt(7) - (sqrt(700)*1 - sqrt(7)))) + -2*-6*sqrt(20)\/sqrt(4))**2.\nAnswer: 59405\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568905 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuununnn. What is prob of sequence uzn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -5, -0.18, 1.\nAnswer: -5, -0.6, -0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*r**4*z - 9*r**4 - 2*r**3 - 11*r**2*z - 2*r*z + 1694*z wrt r.\nAnswer: -1632*r*z - 216*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-10) - (24\/15)\/4. Solve -m*s + 3 + 1 = 0, 2*s = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 - 100002121121222?\nAnswer: -100002121120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -5\/2 (c) -19850 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:47 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 15. Solve -k*x + 17*x = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -393b3 + 0?\nAnswer: -393b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257827*b**3*v**2 + b**3*v - 26*b**3 - 4*b**2*v - 2*b**2 wrt v.\nAnswer: -515654*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -351, -527, -703?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 2\/13, -144, -1, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3472*p - 1 + 2 - 3473*p - 407*p**3 in the form j*p**2 + h*p**3 + f*p + o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -0*c + 2*c - 6, 2*c - 6 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.6 - -6.11. Sort 0.3, o, -1, 3\/7 in descending order.\nAnswer: 3\/7, 0.3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j - 2*h + 108 = 0, -5*j = h - 104. Suppose -j = -n - 4*n. Calculate the lowest common multiple of n and (-6)\/(-4) - (-13)\/26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58586, 58585, 58584, 58583, 58582, 58581?\nAnswer: 58580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2 - 1, -2*h = -3*p - 75. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 4*v - 22, 3*r - 30 = -3*v. Find the second derivative of -23*f**3 - 85 + 43 + 42 + v*f wrt f.\nAnswer: -138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -593509998*g. Let v(s) = 2*s**2. Determine y(v(l)).\nAnswer: -1187019996*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, r: 6}. What is prob of sequence arr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3227544 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67838 and 856.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(242) - (-2 + sqrt(72))**2.\nAnswer: -74 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 33 = -4*k, 4*k = 4*f - 14 + 2. Solve -k*y + 15 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0 + 24. Suppose 3*j = a + 9. Sort 0, 3, j.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*y + 5*y = 34, -5*n + 92 = -y. What is the remainder when n is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2938, 3, -10, 10 in increasing order.\nAnswer: -10, 3, 10, 2938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3595 in decreasing order.\nAnswer: 3, -1, -3595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**2 - 61*c - 16. Calculate j(-7).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196028781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*d = 22, 0 = 5*d - d + 16. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4085350)\/25*-1*1*(-3)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014925 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/((x*(((x\/x**(-11))\/x)\/x)\/x)\/x))\/x)\/x*x*x\/(x*(x\/x**(-25)*x)\/x) assuming x is positive.\nAnswer: x**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980 is divided by 404.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/(-1) - 106\/(-4). Let u = t - -54. Suppose 5*o = -4*k + 385, 0*o - 2*o - u = -k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4645, 4653, 4675, 4717, 4785, 4885, 5023?\n\"Answer: a**3 + a**2 - 2*a + 4645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/15))\/g)\/g*g**(5\/3))**(-8\/9) assuming g is positive.\nAnswer: g**(-64\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 3*j**2)*(0 - 2 + 3) + (0 - 1 + 0)*(-478*j**2 + 546*j**2 + 452*j**2).\nAnswer: -518*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 4*n**2 - 4*n**2 + (2*n - 2*n + 2*n**4)*(825*n + 2728*n + 6677*n).\nAnswer: 20461*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18935081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57866708 divided by -2108.\nAnswer: -27451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 1. Suppose 34*x - u*x = 0. Suppose x = -6*t + 723 + 153. List the prime factors of t.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, p: 3, b: 5, z: 4, k: 1, e: 2}. What is prob of sequence eeb?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-4)*(-1 - -6). Suppose -u + 0*u = -18. Let i = u + -20. Sort k, -4, i.\nAnswer: k, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y + 2*y - 4*y)*(-3 - 1 + 3)*(1 + 1 - 3).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_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: 5 + (-9 - -16 - (-1 - (-16 - 9)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = -2. Let d = x + 2. Solve r + d*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.85427*36\nAnswer: 210.75372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from mkkkjkammmmdi.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 129.\nAnswer: 40\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -2*l + 2*a, -11*l + 243 = 5*a - 6*a for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:58 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 3*s + 81. Let f be s\/(-96)*(11 + -7). What is the biggest value in -3, 0.4, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 100 + 115 = 4*x, -25 = 5*b. What is the smallest common multiple of x and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, u: 1, x: 2, p: 2}. What is prob of sequence pu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1490, -1496, -1502, -1508, -1514?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 7*j - 12. Suppose 2 = -j*r, -8 - 12 = -3*q - 4*r. What is the third derivative of -4 + q*o**2 - 9 + 12*o**3 + 13 wrt o?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88729222.\nAnswer: 2, 17, 2609683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 13*b**2 - 2*b + 37. Let s be t(13). Let z = 117 - s. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**(-29)*i**(-1\/51)*i*i**(1\/6) assuming i is positive.\nAnswer: i**(39\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*c**3*g**2 + 3877*c**3 + 115*c**2*g**2 - 1925*c*g**2 - c wrt c.\nAnswer: 234*g**2 + 23262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081731553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3249844 is divided by 1083278?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 5*z = -25. Solve 2*m = -3*g - 15, 2*g = 3*g - 5*m + z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*(sqrt(204)*2 - sqrt(204)))\/(-1*1*sqrt(12)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 1, c: 1, l: 1, y: 1, d: 1}. What is prob of sequence plc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -149.5. Let o = m + -126. Let w = -9 + 9.2. Which is the second biggest value? (a) -3 (b) 3\/8 (c) o (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -10. Suppose -4*v - 4*m = -24, 0 = -v - 0*m - 2*m + u. Suppose l + p = v*l - 49, -65 = -5*l + 2*p. What is the remainder when 32 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okko when four letters picked without replacement from kololkkok.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -919 + 934. Let o(a) = 13*a + 1. Let v be o(1). Suppose v + 1 = 5*p. Solve -2*l = l - p*i + y, -2*i = -5*l - 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807.\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -877 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37129289911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 32 = -110. Suppose -b - o = 71, -5*o + 31 = b + 98. Let k = c - b. Solve 4 = 5*l - k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38533703 by 2.\nAnswer: -38533703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.1 (c) -1 (d) 148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 12. Let g be y\/20 + (-1001)\/(-110). Solve -t - 2*t = -g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 19 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89706837 to the power of 1\/2, to the nearest integer?\nAnswer: 9471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 236092243 to the power of 1\/2, to the nearest integer?\nAnswer: 15365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in 0.3, 158, 0, 0.0551?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17*-0.05\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19859 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 23?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -5. Let b = 1 + -1.06. Let z = b - -0.56. What is the biggest value in k, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -30, 71, -4, 3 in decreasing order.\nAnswer: 71, 5, 3, 2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21568432 to the power of 1\/2, to the nearest integer?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 + 6 + 1 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(12)*-2 + (-1 + (2*sqrt(12) - sqrt(12)) + sqrt(12))**2)*3.\nAnswer: -36*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -1\/4 (c) 3 (d) 4\/100815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19*y**2 - 2*y**2 - 2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 - 2*p**2 + 2*p**3 - 53*p - 3 + 53*p + 8*p**4 to j*p**4 + t*p**3 + i*p + n + a*p**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x - 11. What is q(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -96.01 and -0.381.\nAnswer: 36.57981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/30)*t*t*t**23*t)\/(t**3*t)**19 assuming t is positive.\nAnswer: t**(-1499\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 24*q - 26312 = -28*q. Calculate the least common multiple of q and 80.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491155, -491158, -491161?\nAnswer: -491164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161597086*w**6 - 266404282*w**2 wrt w?\nAnswer: -19391650320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8217 is divided by 746?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56685, -10, 2, 0, 8 in decreasing order.\nAnswer: 8, 2, 0, -10, -56685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1125) + -1 - (sqrt(45) + sqrt(495)\/sqrt(176)) - (sqrt(495) + -5*((sqrt(495) - -2*sqrt(495)) + sqrt(495)))\/sqrt(11)))**2.\nAnswer: -4914*sqrt(5) + 3353949\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -202? (a) -5 (b) -3.9 (c) 333\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**9\/b)*b**(-6)*(b\/(b\/b**(2\/11)*b)*b)\/((b*b\/(b**8\/b))\/b*b*b*b*b) assuming b is positive.\nAnswer: b**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/142 > 1728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221657*-699.\nAnswer: 154938243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 241056, 240413, 239770, 239127, 238484, 237841?\n\"Answer: -643*i + 241699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*c + 413 = 2404, -3*p = -c - 6003. Is p a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q - 159. Let l be h(0). Let y = l + 236. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/(-10)*1)\/((-48)\/360). Suppose -3*s - 4*v + 70 = v, v = 4*s - 78. Let r = s - n. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 - 0)*3\/(75\/(-10)). Let w = u - 113\/30. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 8. Let p be l(-4). Solve m + m + 2 = p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9 = -0*n + 3*n - 1 - 0 + 5, 0 = -3*n - 0*n for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25*j**2 + j + 2. Let h be a(-1). Let c = -119 - -147. Suppose 2*f = c + h. Calculate the highest common factor of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4852\/5 - 983. Suppose 546*j + 175*j = 9373. Let g = j + t. Which is smaller: g or -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139050?\nAnswer: 2, 5, 179, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -495 - -1368. Which is bigger: 874 or f?\nAnswer: 874","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3960 and 21420?\nAnswer: 471240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**4\/24 - y**3\/3 + 2*y**2. Let n be h(0). Suppose 0*x + 8 = 4*x - 4*m, -2*x + 10 = m. Sort n, 1, x.\nAnswer: n, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 4\/9, 5, 2, -76, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*x - 14, 0 = 3*x - 0*x - 3. Suppose 4 = z*p - 11*p. Let b = 18 - p. Calculate the highest common divisor of b and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/2 - a**3\/6 - a**2\/2 + 26*a. Calculate the remainder when s(2) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*(1*-3 + (-3)\/(-2)). Let p = g + 25. Let d be (3\/(-2))\/(p\/(-8)). Solve -d*k = -2*u + 7, 0 = -4*k + 2*k - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 551460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 5*u - 4*u)*(1 - 4 + 1)*(-1 + 5 - 2) + u - 2 + 2 as a + y*u and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9905592 is divided by 3301860?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 2. Let a(u) = u**2 - 1. Let z = 68 + -66. Let t(w) = z*g(w) + 6*a(w). Factor t(n).\nAnswer: 2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = h - 6*h + 19600, h + 3*i - 3916 = 0. Is 15\/20 + h\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.014732 - 4.014732. Let z = -2.5 + -0.5. Put 2, -0.8, p, z in decreasing order.\nAnswer: 2, -0.8, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -3*q - n, -q - 8 = 2*n. Sort -1, -0.2, q.\nAnswer: -1, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 155 = -4*a + 21 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26403 not equal to 26407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22002 (base 3) to base 8\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + g + 12*g**3 + 3*g**2 - g.\nAnswer: 8*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 16) in base 8?\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0 + 0 - 38*y**2. Let w(h) be the second derivative of 0*h**2 + 21*h + 0*h**3 - 1\/12*h**4 + 0. Calculate w(v(a)).\nAnswer: -1444*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 23. Let m be z(8). Let d(x) = 68*x - 2. Let g be d(m). Calculate the common denominator of (-82)\/g + 1 + (-13)\/11 and -2\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t + 7. What is the tens digit of s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338512294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000080240925 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3160 divided by 8\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 348772?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 36655*v + 514150.\nAnswer: -5*(v - 14)*(v + 7345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - -3.3. Which is smaller: o or -0.07?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z + 216*z = -149*z + 12667 + 2678 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 13*o = 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25148579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxiiii. What is prob of picking 3 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542143 is divided by 866.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1116\/248*((-364)\/(-3) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 312 - 310. Let u = -11 + 15. Suppose u*s - 4*h = 36 + 24, 5*s + 2*h = 82. Calculate the smallest common multiple of s and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1\/3*r**3 + 0 + 0*r**4 + 60*r - 55\/2*r**2 + 3\/20*r**5. What is the first derivative of t(p) wrt p?\nAnswer: 9*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -3 - (2 - (2 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l)*(3 - 3 + l**4) - 2242*l**3 - 1 + 2242*l**3 - 104*l**5.\nAnswer: -102*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 22 = d - 8, 2*d + 2*f - 40 = 0. Solve -u + d = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -0.5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-16) - (-4569)\/(-8))\/(-1). Let g = f + -539. Calculate the remainder when 103 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = 14 - 235. Let t**2 + 23*t + h + 2792 + 56*t + 27*t = 0. What is t?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-168)*(-22*70\/3465)\/(10\/(-9))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 190108?\nAnswer: 570324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -22*q - 64. Let u(h) = -45*h - 129. Let d(g) = -7*o(g) + 4*u(g). What is the first derivative of d(k) wrt k?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {w: 11, x: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momyymmmmmom. Give prob of picking 4 m.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.3 - -56.9. Which is the closest to -5\/7? (a) 2 (b) 5 (c) x (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101118122 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - 12*u**2 - 368*u - 1878. Give z(-5).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2470998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 35800.42 centuries?\nAnswer: 358004.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.2. Let m = -5876 + 5875. What is the closest to m in -1\/4, -6, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*y = 17*y + 7070. Calculate the greatest common factor of y and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = g - 15. Let f = 39 - g. Let j(r) = r**3 + 4*r**2 - 4*r. Let l be j(-5). Sort f, l, -2.\nAnswer: l, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 + 6 - 5) - (48 - 26)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*256\/(-384).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87617?\nAnswer: 41, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/68 + -10\/17. Let c = 0.8 + -0.3. What is the nearest to x in -1\/4, c, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337374.\nAnswer: 2, 3, 556229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Let k(c) = -10*c + 2993300. What is k(n(g))?\nAnswer: 10*g**2 + 2993300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 8. Let z = 34 - 24. Let i be k(z). Suppose 16 = s - 4*j, -i*j + 42 = -0*s + 2*s. Calculate the remainder when 39 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/9? (a) 2\/13 (b) 9 (c) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051126110.\nAnswer: 2, 3, 5, 135037537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.436 and 4.\nAnswer: 14.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let t be (r - 2)\/((-6)\/27). What is the greatest common factor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*x - 24 = 2*a + 122*x, 6 = -2*a + x. Solve 22*v - 21*v + 5*l + 6 = 0, v + 2*l = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 7*v - 4*v. Solve 0 = n - 4*x + 12 + 4, v = -n + 5*x - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4369, -4413, -4457?\n\"Answer: -44*f - 4325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 2:55 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let l(r) = 11. Let f(m) = 16. Let p(d) = 2*f(d) - 3*l(d). Let c(g) = -2*g - 23. Let h(x) = -c(x) - 4*p(x). Give h(u(v)).\nAnswer: -2*v + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from zdfzfm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29916204 divided by -3.\nAnswer: -9972068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 483 and 483 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3578871 to two decimal places.\nAnswer: -2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = 0, 2*s + 4*j = 5*s - 11. Let u(z) = 17*z - 1. Determine u(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3541*-6750\nAnswer: 23901750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 6*x + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-3)*(-351)\/(-18). Let f = u - -32. Let o be (3\/2)\/(f\/12). Which is the third smallest value? (a) 2 (b) -4 (c) 0.3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 15*q + 12. Let h = 20 - 35. Let p be z(h). Let k(t) = -t**2 - 4*t + 1. Let y be k(-3). Solve a + p = -2*w, -a + 2*a - y*w - 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 + 5 + (2 - 5))) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 919723? (a) -0.4 (b) -1\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-1 - 2*-1). Suppose -15 = 5*h + 184*y - 186*y, 5*h = y - 10. Suppose -4*a = 7 - 11. What is the biggest value in h, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 1. Let r(q) = 6*q**2 - 1. Let p(w) = 5*w + 29. Let x be p(-6). Suppose -2*y + 4*g = 4, 0 = 4*y + g + 6 + 2. What is x*r(c) + y*k(c)?\nAnswer: -4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/152*(-20)\/70*12)\/(-2).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 2289?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4 + 12. Suppose p*n - 2*v + 3 - 7 = 0, v + 3 = 3*n. Let k(c) = 9*c**2 + 2*c - 1. Determine k(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60025822.\nAnswer: 2, 151, 198761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l + 74. What is the hundreds digit of c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551309 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36191, 72388, 108575, 144746, 180895?\n\"Answer: -v**3 + v**2 + 36201*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 18*c**2 + 3*c - 2. Let p be d(7). Suppose x + v = -66 - 231, -3*x = 5*v + p. Find the common denominator of -50 and (x\/(-18))\/(2\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15502 and 674.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381859, 763719, 1145579?\nAnswer: 1527439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -232*5\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*a - 15 = y, 6 = y + 2*a. Suppose 0 = -2*v + 2*p + 11 + 15, y = p + 1. Solve 5*h - 8 = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-1)*(-31)\/(-186)*-39*8\/(-108)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -342*b**2 - 141244*b + 489. What is q(-413)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/35 and -77\/4250?\nAnswer: 29750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -20, -21, -22, -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 0.3 (c) -0.5 (d) -2351 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2161655, 2161624, 2161597, 2161574, 2161555, 2161540?\nAnswer: 2161529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/42*(-1620)\/(-504)*(-2)\/(-18)?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:26 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -29?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 4377 (c) -0.2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -444, -844, -1240, -1632, -2020?\nAnswer: -2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 5\/7, 32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2892, 5785, 8678, 11571?\n\"Answer: 2893*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304 or -294?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 (base 12) in base 11?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -59*n**2 - 3*n - 6. Let m(u) = -1120*u**2 - 56*u - 112. Let l(d) = 3*m(d) - 56*t(d). Let y(f) = 14*f**2. What is l(y(g))?\nAnswer: -10976*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1571505, -3143012, -4714519, -6286026?\n\"Answer: -1571507*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, a: 5, r: 3, q: 1, j: 2}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p**2 - 4309*p - 5547. Give t(-204).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/43316 and -41\/98?\nAnswer: 43316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230300 and 1176.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 4*s**3 + 0*s**3)*(3664 - 3664 - 235*s).\nAnswer: -470*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 5*w**2 + 5*w**2)*(-w + 0*w - 2*w) - 4 - 6*w**4 + 4.\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 228 = -5*q, -q - l + 48 = -0*q. Suppose 3*d - 7*d = -q. What is the remainder when 20 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13121 is divided by 4831.\nAnswer: 3459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 1.25. Let t = b - 0.05. What is the nearest to t in 2\/9, -0.1, -2\/21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187919070 a multiple of 9884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, 0.4, -5, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 957408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0. Let t = 0.1 - j. Let p = 0.24151 - 3.24151. Which is the smallest value? (a) t (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -5*d. Calculate the remainder when 2 - (-10 - d\/(-1)) is divided by ((-3)\/2)\/((-3)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 + 119 - 67)*(1 - 2*z - 1) to the form g*z + n and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 36738 = 13*b. Is b a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4050) + 0 - (2 + -1*sqrt(4050)))**2 - (1 + ((-2*sqrt(4050) + -5)**2 - sqrt(4050)) + -2).\nAnswer: -1215*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -0*k + 3*k + 2*j, -10 = -5*j. Let a be 28\/k*(-3)\/2. Find the common denominator of 93\/8 and (-99)\/a*1\/(-30).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*3*(-12)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 18*a**2 + a - 16. Let s be z(18). Suppose -50*y + 8 = -49*y. Solve -4*d + y = -s*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 2 - 581*o**3 + 2 + 412*o**3 + 537*o**2 wrt o.\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10871019 by -472653.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 - 10 = 0. What are the prime factors of x\/(-7) - 48*2\/(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/29)\/u*u*u*u)\/((u*u**(2\/7))\/u*u)*(u*u\/(u*u**(-1)*u)*u*u)\/u**(2\/7) assuming u is positive.\nAnswer: u**(682\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 5. Let b(o) = 14 - 18232*o**2 - o - 5 + 18228*o**2. What is 3*b(g) + 5*f(g)?\nAnswer: -2*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.16623 and -30808.\nAnswer: -30807.83377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**2 - 7283725*y + 50902216 wrt y.\nAnswer: 6*y - 7283725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.07 (b) 1\/5 (c) -1 (d) -3\/5 (e) 20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/20)\/((-27)\/(-15)). Let y(i) be the first derivative of 7\/5*i**5 + 8*i**2 + c*i**6 + 19\/4*i**4 + 4*i - 2 + 25\/3*i**3. Find h, given that y(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 16*j + 56. Let l(w) = 33*w - 2163. Let t be l(65). Give f(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*q + 7 = -f - 260*q, 4*f + 3*q = -10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - t - 3*t - 19*t. Determine h(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*14592\/(-19). Suppose 241 = 3*b - v. What are the prime factors of b?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/10 and -50\/123.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(-40)\/(-120).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661883, 661882, 661881, 661880, 661879, 661878?\nAnswer: 661877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l**2 + 33*l**2 + 37*l**2 + (l**2 + 0 + 0)*(-2 + 0 + 0) to r*l**2 + m*l + n and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -10, 7, 101 in decreasing order.\nAnswer: 101, 7, 3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65631?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 31*k + 10 = 0. What is the highest common factor of 40 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = q. Suppose 17 = q*n - 2*c, -4*c = -2*n - 2 + 16. Let a be -5*2\/125*n. What is the second smallest value in -2\/7, a, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.7 (c) 8\/5417\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6619 is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, -6*b = 2*z - b - 10. Suppose -5*f - 160 = -t + z, 0 = -f + 5*t - 11. Calculate the common denominator of 1\/18 and (-818)\/(-288) + (-8)\/f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -o, o = -3*a - 3 + 1. Let i(q) be the second derivative of q**4\/6 + 5*q**3\/6 + 2*q**2 - 6*q. What is the tens digit of i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2336 - 2*h + 830 + 5*h.\nAnswer: 3*h + 3166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 + 23671?\nAnswer: 23821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1197356, -1197376, -1197412, -1197464, -1197532?\nAnswer: -1197616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 13*p + 15. Let m be h(-12). Suppose m - 4*v**2 - 20*v + 0*v**2 - 6 - 5 + 8*v**3 = 0. Calculate v.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/30 - 2*y**2. Let x(g) = -2*g + 7*g - 5*g + 5*g. Give x(j(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -67, -140, -267, -466, -755, -1152?\nAnswer: -1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 6*g**2 + 7*g - 5. Let f = -15 + 10. Let s be (f + 3)\/(2\/(-8)). Is z(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408790790 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1085 - -246. Let u = s - -106552\/127. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 58, 127, 234, 391, 610, 903?\n\"Answer: 2*f**3 + f**2 + 26*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9032751 and -19\/3744.\nAnswer: 289048032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4921, -9850, -14791, -19750, -24733, -29746, -34795, -39886?\n\"Answer: -a**3 - 4922*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (2 + -3 + 2). Suppose -4*g = -h*w - 52, -3*g = 3*w - 9 - 12. What is the lowest common multiple of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7861 and 1273958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, 7 in increasing order.\nAnswer: 4, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, a: 2}. What is prob of sequence ek?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfxnnxnf. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, -1065.2, 9, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 14*h + 32*h + 5882 - 5882.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 4}. What is prob of picking 4 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 23 = -5*b, -5*a + 5 + 12 = -b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 398, 6\/17, -11.1?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -18, -31, -50, -75, -106, -143?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2055252522 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 16?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 32. Let b(q) = q**2 + q**2 + 4*q + 11 - 2*q + 3*q**2. Let g(f) = -3*f**2 - f - 7. Determine z*g(p) + 5*b(p).\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, -181, -468, -763, -1066, -1377?\n\"Answer: -4*q**2 - 267*q + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 = -o. Let k(g) = -2*g**2 - 5*g - 5. Let b(d) = -d**2 + d. Let a(s) = -b(s) + k(s). What is a(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from nnleleenmnln?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1043*w**4\/12 + 6*w**3 + 49*w**2. Differentiate d(f) wrt f.\nAnswer: 2086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -46*y + 173. Calculate n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7))**(-22\/5) assuming c is positive.\nAnswer: c**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/728672 and -1\/2342160?\nAnswer: 32790240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-15))\/(28\/(-20))*(-20)\/(-40)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33602 and 8798?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324965*f**4 - 419000*f?\nAnswer: -3899580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 + 5 + 0 - 6 - k. Let h be z(2). Suppose -9 = -v + 4*v. Is v less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54963 by 5.\nAnswer: 54963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 2*q**3 + q**3)*(-3*q + 2*q**2 + 3*q) - 2 + 2 - 6*q**5 + (2*q**2 + q**2 - 2*q**2)*(51*q + 21*q - 94*q)*(-q**2 + q**2 - q**2).\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 297381 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/105*(-5)\/459)\/(158\/(-237)).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 2 w when four letters picked without replacement from {k: 1, v: 1, i: 2, w: 2, s: 2, f: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 + -1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2. Let q(g) = 29*g + 1. Calculate w(q(d)).\nAnswer: 2523*d**2 + 174*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/5290447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4642385.\nAnswer: 5, 11, 84407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 42. Suppose -65 = -4*h + 3*w, r = h + 2*w - 3*w. Calculate the remainder when 33 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 - 10*c + 4. Let d be x(-9). Let k be (-3 - d*-11) + 3. Suppose 3*g - k = l, -4*g = -0*g + 4*l - 180. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 7*h - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1206750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*f = 14, -r + 0*r - 4*f = -6. Let n be 63\/(-18) - r\/4. What is the closest to -1 in -2, n, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 + 3 - 5 + 4*a + 1 + a**3 + 3. Let b = 5 - 10. Give x(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -75, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -112. Let t(m) = m**2 + 4*m - 7. Let h be t(-6). Suppose w - h = -j, -4*w + 0*j + n = -j. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2 + sqrt(272) + sqrt(272) + sqrt(272)*2)**2 + 2.\nAnswer: 8230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589.063 kilometers to meters.\nAnswer: 589063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.6 + 6.6. What is the nearest to -2\/5 in 3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284652 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 32*t**3 - 5*t**2 - 32*t**3 - t**4 as m*t**4 + f*t**3 + h*t + w + g*t**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2. Let l(j) = 3*j + j - 2*j. Give p(l(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91976833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660 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: Let i be 6\/(-6)*-18*4\/6. Suppose -i + 4 = p. Let x(y) = y + 8. Let a be x(p). Solve 9 = 3*j - a*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aapppaa. What is prob of sequence ppa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3*y - 3. Let u be k(-2). Let c(w) = 4*w**3 + 16*w**2 - 24*w + 40. Let o be c(12). Let h be (-11362)\/o - (-5)\/4. Is u less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -171 and -8.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 34 - (231 + -194)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 1022 - 1022.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 + q + 5. Suppose 0 = -2*o, 6*n = n - 5*o - 20. Let k be j(n). Solve -2*v - 7 = -k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 12 + 2*p**2 + 0 in the form h + u*p + k*p**2 and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/(-88)*(-73924)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 2*y - 4, -y - 2*y = -5*f + 27 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 60*y + 146. Let i(t) = t. Give n(i(c)).\nAnswer: -3*c**2 + 60*c + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3673030 and 101460?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(142265*g**2 - 142265*g**2 + 317*g**3).\nAnswer: -1268*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 494 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -152. Let b = -3 - -3. Find the third derivative of 13*k**4 - f*k**4 + 3*k**2 + b*k**2 + 5*k**2 wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5 + 62*w**4 + 386*w**3 + 338*w**2 - 1828*w - 1840 = 0?\nAnswer: -23, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034966209 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 8*u. Suppose 8 = -a + 2*a. Suppose a*q = 10*q - 48. Let f(v) = -v. Determine q*f(x) + 3*z(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1614.2 + 1918. Round a to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*a + 4*p, 9437*a + 1 = 9435*a - 3*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 6*o + 3*o)*(-3*o - 6*o + 2*o) in the form z*o**2 + l + d*o and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 424828 - 101465. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*s + 653*s - 221*s + 67*s**2 - 208*s.\nAnswer: 67*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 t, and 1 a when four letters picked without replacement from {a: 1, s: 1, f: 4, t: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, y: 2}. What is prob of sequence hhyh?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 2*h**2 - 32*h - 4. Let b = 4901 - 4890. Let f(a) = 6*a**3 + 5*a**2 + 95*a + 11. What is b*q(x) + 4*f(x)?\nAnswer: 2*x**3 - 2*x**2 + 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q. Let z be y(-1). What is the second derivative of o**2 + z*o**2 + 3*o - o**2 + 5*o**2 wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 5*d - 32. Let v(x) = 11*x - 26. Let i be v(4). What are the prime factors of r(i)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -520\/9 + 58. Which is the closest to -2\/5? (a) 0.5 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11802*c + 4496. Let j(z) = -5*z - 2. Give -3*b(s) - 6744*j(s).\nAnswer: -1686*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 3. Let v(m) = -m**3 + 4*m**2 - m + 4. Let q be v(4). Let f be g(q). Solve s = -2*s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.77865 millilitres?\nAnswer: 0.00577865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280504.6 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:40 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpkvkppk. What is prob of picking 2 v and 1 p?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 3*q**2 - 3*q - 3. Calculate d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/4 + -247\/28. What is the biggest value in r, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - h + 77 = 0, t + 2*h + 26 = 3*t. Suppose 257 = 2*f + t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1\/8*w**4 - 1\/12*w**2 + 0 + 24*w - 2\/9*w**3. Let k(s) = 0. What is s?\nAnswer: -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5825.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joi when three letters picked without replacement from {q: 1, i: 1, j: 2, l: 1, g: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/336)\/(1*(-1)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 71?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102002 - 1122?\nAnswer: -2110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 95*s + 9. Is 26 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.4. Suppose 19*j = 17*j. Suppose -14*h + 10*h + 4 = j. What is the nearest to q in h, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 - 53*v - 30. Let q(x) = -x**3 + 9*x**2 - 17*x + 35. Let i be q(7). Let b be f(i). What is the greatest common factor of 636 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let q(c) = 948164*c**2. Give p(q(o)).\nAnswer: -1798029941792*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*b + 3. Suppose 0 = -z + b*z - 2*z. Solve -5*m + 5*k + 35 = z, 0*m - 2*k = 2*m - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30988 at least as big as -31803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.36 - 0.64. Sort -0.11, g, -5.\nAnswer: -5, g, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 62*x - 426. What is t(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - -23. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/14 and (-62)\/12 - 1 - -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 4*h**2 + 8*h + 1. Let l(j) = -5*j + 69. Let r be l(15). Determine o(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 486*k**2 + 363*k**2 + 4*k - 7*k + 2*k**4 - 1056*k**2 + 4*k**3 in the form q*k + h + i*k**4 + m*k**2 + c*k**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*f**5 + 31*f**5 + 7*f**5 + (3*f - 6*f + 2*f)*(f**4 + 0*f**4 - 3*f**4).\nAnswer: 85*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8157.401 years in centuries?\nAnswer: 81.57401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056 - -0.1088.\nAnswer: 0.1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/54252 and 77\/1370?\nAnswer: 271260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqiiziziqiiiizie. What is prob of picking 1 q and 2 i?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 3. Let x be r(8). Suppose 23*q - 21*q = 36. Find the third derivative of -q*p**2 - 3*p**4 - 2*p**4 + x*p**4 + 4*p**6 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t)\/(t*t**(4\/3)\/t))\/((t**0*t)\/t)**(3\/22))\/(t*t*t**(-5\/9)*(t*t*t\/(t\/t**(5\/8)*t))\/t*t)**33 assuming t is positive.\nAnswer: t**(-821\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 at most -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642112979.\nAnswer: 642112979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 135, 305, 523, 777, 1055, 1345, 1635?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1392 - 1393. Let m = 15 - 6. Let f = m + -7. Put f, 0.3, n, -2 in descending order.\nAnswer: f, 0.3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*(11 + 460\/(-50))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -609.\nAnswer: 32\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -812*n. Let l(q) = 5*q. Let a(s) = -2*d(s) - 174*l(s). Let v(c) = -c**2. What is v(a(h))?\nAnswer: -568516*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/11)*m**(-11\/5))\/((m**(-2\/11)\/m)\/m)**(-30\/7) assuming m is positive.\nAnswer: m**(-4552\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2. Let y(z) be the second derivative of 0*z**2 - 1\/6*z**4 - 43*z + 0*z**3 + 0. What is c(y(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14 + 4 = 0. Let n be 369\/(-12)*(k - 44\/6). Suppose -3*o + n + 25 = 0. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.33 - 0.53. Let z = y + -5.93. Let d = -554\/5 + 110. Sort -2\/23, d, z, -0.4.\nAnswer: d, -0.4, z, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 201*b + 834. Let o be n(-4). Solve -4*a - 3*q + 32 - o = 0, 0 = 2*q + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:01 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82979 is divided by 375.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**6\/6 + y**3 - y**2 + 13*y - 35. Find the second derivative of i(s) wrt s.\nAnswer: -20*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 119 + 1232*y**2 - 117 - 139*y**2. Let d(j) = -3*j. Calculate z(d(k)).\nAnswer: 9837*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, 4, -5, -26, -1 in increasing order.\nAnswer: -26, -5, -3, -1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 2*w - 4. Let f be m(-2). Let n be 1 - f*4\/8. Let j = -5979 - -5971. Sort -4, 3, n, j in ascending order.\nAnswer: j, -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25012 to 3 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 + 4*b - 1. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.8720424 and -1.\nAnswer: 3.8720424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + r**2 + 2. Let f = -3 + 5. Let k be b(f). Let n = k - -29. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4298 is divided by 123.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 34523440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15761411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -28*h - 11. Calculate the remainder when 177 is divided by b(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-46)\/(-10))\/((-72)\/(-132) - 187\/121). Which is greater: h or 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 859430620 to the nearest one hundred thousand.\nAnswer: 859400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2052*w**2 + 8505*w**2 - 175*w**2 + 5294*w**2 to m + y*w + c*w**2 and give c.\nAnswer: 11572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50905, -51645, -52375, -53089, -53781?\n\"Answer: y**3 - y**2 - 744*y - 50161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111 (base 2) to base 14.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000135212057 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730989 to the power of 1\/2, to the nearest integer?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.34336 centuries in years?\nAnswer: 5234.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 448 - 23 = 0. Let l = h + -52. Suppose 5*v + 0 = -2*q + 30, -2*v = 5*q - l. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 9*b + 7*b - 7*b to the form u + x*b and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -4. Let d = -7 - u. Put d, -2, 3 in descending order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 9:36 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 95. Suppose 0 = -4*c + c + b*w + 15, 5*c - 3*w = 35. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403 at least -404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(240)*-3)\/((3*sqrt(60))\/sqrt(5)*2))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.1. Let r be (5\/(-3))\/((-6)\/18) + 4. Let p be r\/(-21) + 10\/350. Which is the nearest to 0.1? (a) n (b) p (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010001000000 (base 2) in base 11?\nAnswer: -26572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 27. Suppose 5*t - 61 = 3*z - 0*t, 4*z = -3*t - 33. What is q(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 3*k**3 + 2*k**3)*(5*k - k - 2*k) + 1083*k + k**2 + 32*k**4 - 1083*k + 2*k**3.\nAnswer: 34*k**4 + 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + v + 4 = -3*v, -2*o + 7 = -v. Suppose o*b - b = 280. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 1.2. What is the nearest to -4 in -0.1, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 551 + 2*j**3 - 551 - 5*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(99) - (-6*(sqrt(99) + 0) + sqrt(99)) - sqrt(99)) + 5 + 1*sqrt(99)*-1*-1)**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(300) + -2*sqrt(300) + -4 + -4 + -1 + sqrt(3)*3)**2.\nAnswer: 182*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555417 = -14*c + 95*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 7)\/(1\/9110). What is i rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 626551433?\nAnswer: -626551432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20934640, -20934637, -20934634, -20934631, -20934628, -20934625?\nAnswer: -20934622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 7 = -a. Suppose -4*x - 19 = a*c - 147, -68 = -c + 2*x. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:27 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:32 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q - 707 = 13*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12660 by -2532.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295776029 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*k*s*t**3 - 7*k*s*t**2 - 2*s*t**2 - 7*s*t wrt t.\nAnswer: -1260*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 1408?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295992.1 + 3.\nAnswer: 295995.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/21135 and -7\/15?\nAnswer: 21135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/2 + 598\/(-3900)*170\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 8586720.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -12274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-120)*0\/(-1 - 1). Solve -w - 3*w - 8 = l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106032735.\nAnswer: 3, 5, 59, 39937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -18. Suppose -19*r + c*r + 155 = 0. Calculate the highest common factor of r and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let r(k) = 6*k**2 - 18*k + 12. Let l(b) = -6*b**2 + 24*b - 16. Let i(d) = 3*l(d) + 4*r(d). Let w(y) = -y**2. Calculate s*i(z) - 8*w(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -16.916. What is n rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530, -518, -496, -458, -398, -310?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639*g - 195 = 444*g. Which is smaller: -2\/4121 or g?\nAnswer: -2\/4121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 1 + 3. Let m be (y + (-3)\/9)*-3. Solve -16 = -3*v + 4*f, -19 = -v - m*v - f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -4745?\nAnswer: -31\/4745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 102673.\nAnswer: 205346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -21\/5 (b) 0.1 (c) 2 (d) 22.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18756 and -1\/252.\nAnswer: 131292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937, -757, -567, -361, -133, 123?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289 + 48.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 6*l - 2*l. Let x(i) be the first derivative of 0*i**4 - 1\/5*i**5 + 0*i**2 + l*i**3 - 2*i + 4. What is the first derivative of x(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -317*l**2 + 7*l - 1. Let a(j) = 4*j**2. What is d(a(v))?\nAnswer: -5072*v**4 + 28*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*n - 41*n**2 + 470*n**4 - 125*n - 18*n + 36*n**2 wrt n?\nAnswer: 11280*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -33839\nAnswer: -642941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 849469.8 litres in millilitres?\nAnswer: 849469800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 17*t - 9. Let j be m(15). Suppose -2*n + 46 - 4 = 0. Let l = j - n. Solve l = 3*f - 4*c - 3, -f = c - 4 + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -18. Let m(r) = r**2 + r + 1. Let i be m(-5). Let y = i + -149\/7. Which is the nearest to -1? (a) y (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1237.17 - 1239.369944. Let w = 2.2 + v. What is w rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 346566 and 6.\nAnswer: 346566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 12*d**2 + 61*d - 57. What is o(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(2223\/(-91))*12\/(-14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sskk when four letters picked without replacement from {k: 11, s: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let d = 7 - 5. Let f = 11 + -10. Does 2 divide 3*(f - d\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 4}. Give prob of sequence xxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60*(-1 + -6 - 264\/(-36)). Suppose -2*d + 440 = 2*d. What is the greatest common factor of d and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.11 and -5.\nAnswer: -90.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 70, 3, 42, 0, -1 in ascending order.\nAnswer: -21, -1, 0, 3, 42, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.358234 - 366.624766. Let a = -368.7 - k. Let l = -1.84 - a. Round l to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9695 is divided by 1452.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 3 + -5 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 34*m**2 + 2*m + 23. Let v(y) = -y. Determine o(v(x)).\nAnswer: 34*x**2 - 2*x + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 12*v + 82*v**2 + 34*v.\nAnswer: 82*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4 - 3737495*j**3 + 597903985*j**2 - 24501571525*j + 46641426990 = 0. What is j?\nAnswer: 2, 79, 747339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 71*k**2 - k. Determine x(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -55944*v + 23420*v + 23519*v + (3 - 1 - 1)*(3*v - v - 4*v) + 0*v + 0*v - 3*v as d + s*v and give s.\nAnswer: -9010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 2*w - 2*w + (0*w + 3*w - 2*w)*(-4*w + 2*w + w) + 15*w - 10*w - w**2 + 7*w**2.\nAnswer: 4*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 11*l + 15. Let y be 4\/1 + -198*2\/(-3). Suppose 8*p - y = 56. Calculate the smallest common multiple of p and x(12).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktd when three letters picked without replacement from iiitgidiipiiiiiiki.\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1102 + 3263\/3. What is the common denominator of (212\/(-12))\/(8\/(-36)*-3) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 599533807, 1199067610, 1798601411, 2398135210, 2997669007?\n\"Answer: -q**2 + 599533806*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -971047 or -971012?\nAnswer: -971012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 53*l - 115*l + 60*l. Let m(q) = 17*q**2. Determine m(w(d)).\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and ((-3)\/(-2) + -2)*(-135 + -17)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1331) - (sqrt(1331) + 2*sqrt(1331) + 0)) + (0 + sqrt(1331) + 1)**2 - (1 + (sqrt(77) - sqrt(77)*-2*1)\/sqrt(7))**2).\nAnswer: -6*sqrt(11) + 1231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 + 481. Let o be ((-8)\/(-28))\/(2 - 48\/f). Factor 1\/3*n + o*n**3 - 2\/3*n**2 + 0.\nAnswer: n*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*d = 380, 5*s + 392 = -3*d + 6. Let m = 78 + s. Which is the closest to m? (a) -0.1 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601224 (base 7) in base 16?\nAnswer: 18bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14868*u = -14912*u + 403 + 829. Solve -u = -2*w - 3*x - 20, 3*w - 6 = -3*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 88*n**2 - 95*n - 545. Let m be t(-89). Which is the closest to m? (a) 2\/7 (b) 0.33 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*z - 257 = -941. Let n = -6 + 5. Sort 1, z, -9, n.\nAnswer: -9, z, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 313.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 0*u**2 + 378*u + 2*u**2 + 13010*u.\nAnswer: u**3 + 2*u**2 + 13388*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c - 2. Let q(k) = 25*k + 7. Let m be (-5 + 2)\/(54\/(-126)). Suppose 3*z + z = 8. Determine m*v(b) + z*q(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 9) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*a**6 + 107*a**5 + 657*a**2 + 21 wrt a.\nAnswer: 18360*a**3 + 6420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34796 - 0.15204. Which is the nearest to z? (a) -17 (b) 0.03 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 33142?\nAnswer: 33200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2156)\/(-6) - 160\/(-240). Let v be (-9)\/(u\/(-751999976)) + 6\/10. Round v to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2255 + 557. Calculate the remainder when n is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140169625 is divided by 6936.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + 104?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58a1 (base 12) to base 8.\nAnswer: 23271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:02 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2549.4511 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -163. Calculate the remainder when v is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 30701517249*o + 30701517249*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5 + 6 + (-123)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 581*b**2 + 290*b**2 - 5*b + 3*b + (-2 + 2 + 3*b)*(-6*b + 2*b + 2*b) to g + p*b + o*b**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**3 + 35*x**2 + 38*x - 80. Let c = -30 + 32. Let w(i) = -i. Let d(s) = c*w(s) - f(s). Let d(u) = 0. Calculate u.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 59477 = 5*f, x = -5*f + 8*f - 35682. Suppose 2*w = 3*r - 22686 + 4859, -2*r + f = -3*w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6 - -6. Let x be (7\/(-6))\/(136\/24). Let u = -243\/850 - x. What is the nearest to -1\/2 in c, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.5\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 140*a**2 - 1064*a - 1046. Calculate m(-132).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10363131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - 3*sqrt(70)*6 - (sqrt(70) + sqrt(70)*2 + sqrt(70))*-6)\/((sqrt(10) + (sqrt(1440) - sqrt(1440)*-2) - sqrt(10)) + (sqrt(10) - -3*sqrt(10))*-6).\nAnswer: 7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 20?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9 + 5*a**2 - 14*a**2 - 2*a**2 + 9*a. Let x(p) = -p - 9. Let c = 178 + -183. Let u be x(c). Let s(r) = 5*r**2 - 4*r - 4. Calculate u*l(w) - 9*s(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let f be m(1). Let g = 6 + -2. Let p = f + g. What is the greatest common factor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -271250.\nAnswer: -1\/271250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 + 142. Let l be 36\/o + (-114)\/(-22). Suppose -2*z + 40 = -l*f, -5*f + 20 = -z + 5*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3120488 and 12566?\nAnswer: 190349768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 1. Let w be u(1). Suppose -16 = -4*v, -14 = -f - f + w*v. Calculate the greatest common divisor of f and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:13 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9603 - 40072*v**2 + 9603 + 40073*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 + 101. Calculate the lowest common multiple of 6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45228618 to the nearest integer?\nAnswer: 6725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -25, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 89 = -5*d, 53*d + 83 = 3*k + 54*d. Calculate the highest common factor of k and 6286.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12 - 5 - 13*f - 8 in the form b*f + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2616623.643 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 4*f - 5*f + 8*f - 2*f**3 - 4*f**3 + 0*f**3 + 2*f**3 - 5*f**2 + 5*f**2 - f**3 + (-f**2 + 1 - 1)*(2*f - 4*f + f) - f**2 + f**2 + f**3.\nAnswer: -3*f**3 + 2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f + 1. Let g be y(-4). Let j = g - -29. Suppose -d = -q - 11, -2*q - 40 = -2*d - 6*q. What is the least common multiple of j and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (28 + 3 - 44).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 864 and 38302?\nAnswer: 16546464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2 + 2 + (-2 + 2*h + 2)*(4 - 4 - 2) + h + 5 - 5 + 2*h - 2*h - 2*h - 2*h + 5*h - 2*h + (-14 - 38 + 15)*(3*h + h - 2*h))*(-3 + 3 - 1).\nAnswer: 75*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + 1.6. What is the nearest to c in 1, -0.1, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 861 = -3*f, -2*f - 1432 = 6*m - 11*m. What is the remainder when m is divided by 86?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y + 5. Let m be f(0). Let v be 32\/6*(-39)\/(-26). Let q = v - m. Solve -4*i = -2*g - 11 - 1, i = 5*g + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, -10604, 2, 0 in decreasing order.\nAnswer: 5, 2, 0, -3, -5, -10604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -100*n**2 + 6*n - 1. Let g(a) = -99*a**2 + 5*a - 3. Let k(y) = -3*g(y) + 2*o(y). Find the second derivative of k(h) wrt h.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 10) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23230 + -23285. Sort -20, 4, z in ascending order.\nAnswer: z, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 1560*p**2 + 118755*p - 756560 = 0. Calculate p.\nAnswer: 7, 112, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-12)*(24\/120 + (-58)\/140).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -4.2. Let a = p - -3.6. Let s = -0.8 + 0.3. Sort 3\/2, a, s in decreasing order.\nAnswer: 3\/2, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-2 + x + 2)*(-4*x + 3 - 3).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 + 2*j**3 + 3926*j**2 + 775*j + 32?\nAnswer: -36*j**2 + 12*j + 7852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/15, 0.1, -2\/25?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/3? (a) 4\/3 (b) 781 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 2937888?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, 1 v, and 1 g when four letters picked without replacement from eceggpppvpgtp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -50. Let w be -1*(2\/(-10) + l\/(-10)). Suppose 40 = 59*d - 49*d. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 4*a - 1528 = -39*g, a - 2*a + 170 = 5*g + a + 27 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -325*y. Let l(r) = -2*r. Give g(l(h)).\nAnswer: 650*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**5*f*k - 26408*b**4*f*k + 6*b**2*f*k - 457*b**2*k + 3*b*f*k wrt b?\nAnswer: 300*b**2*f*k - 633792*b*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -11*x + 19*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnmnnnnmnjjjnn. Give prob of sequence jjmm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -4 (c) -3 (d) 2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*q + 21, -5*r - 287*q = -286*q + 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*m + 0*m + 10 = 0, 5*z - 3*m = -17. List the prime factors of (-2)\/((6\/15)\/z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*v - 59 wrt v?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 242534, -3, 4\/17 in ascending order.\nAnswer: -3, -2\/5, 4\/17, 242534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*o + 0 - 78*o + 28 + 14 - 106*o in the form a + i*o and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3061551 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5102 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 523130887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -0.5, -15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + 23\/(-3). Let z(v) = v**3 + 8*v**2 + 4*v - 9. What is the units digit of z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51*-257\nAnswer: -13107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*j**2 + 7*j - 7*j - 2 - 30 with respect to j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 4 = 4*o, 34*n - 5*o - 17 = 36*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*n + 187 = 0, -4*w + 3*n + 531 = -w. Let h = w + -54. Suppose 3*j - 149 - h = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 5 = -19*b. Let z(p) = 2*p**2 + 16. Let q(f) = -2*f**2 - 17. Let k(s) = -4*q(s) - 5*z(s). Let d(v) = 0 - 1 + 2. Determine b*k(h) + 12*d(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnxrnitnrgriii. Give prob of picking 1 i, 1 g, 1 t, and 1 n.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1466381\/9 + -162931. Let z = 0 - -1\/2. Which is the nearest to -47? (a) 0 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-123)\/8)\/(75\/(-40)*366\/(-915)).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5. Let p be u(3). Suppose -p*d = -7*d + 6. Let j be (8\/10)\/(28\/80). Which is bigger: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from koooko.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*q - 5317, 5*b + 5*q = 155 + 5135. Let v = 1758 - b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/8)\/(4\/536)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64012)\/24 + (-6)\/(-36). Is 28 a factor of u\/(-14) + (-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 195 = -207 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13865203?\nAnswer: 11, 1260473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 3. Let o be b(-4). Let c = 0.098483 - -3.901517. Sort o, -0.4, c in descending order.\nAnswer: c, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/3 - -1\/6. Let a be (1\/(-6))\/((-32)\/64) + 3\/9. Put a, g, -4, 5 in descending order.\nAnswer: 5, a, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1280 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 10*g**2 + 9*g + 14. Suppose 2*u = 10*z - 6*z - 52, -2*z + 2*u = -30. Determine i(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 - 1. Let m be i(2). Suppose 3*z = -c + 17, -5*z = c - m*c - 32. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2681 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530765?\nAnswer: 3, 5, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(((c*c**(3\/7))\/c)\/c))*c)\/c)**(-1\/29) assuming c is positive.\nAnswer: c**(4\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-86 - -6) - -11 - (1 - (3 + 1))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724 + -627 + (-1 - (0 - (-4 + (8 - 0)))).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4826 or -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40102 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 95. Let k be z(27). Suppose -53*q**2 + 9*q**2 + 21*q**2 + k*q**2 - 2*q**3 + 3*q**4 + 4 = 0. Calculate q.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264258 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8675086648 to the nearest integer?\nAnswer: 93140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 - (-1)\/3. Let h = -49 - -43. Let q be -4 + h*(-17)\/27. Which is the closest to q? (a) 0.2 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, t: 9}. What is prob of sequence ttt?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 243 - -13. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5f4 (base 16) to base 15\nAnswer: 6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5553 + 5557. Solve -z*c = -o - 17, 71*c = 66*c + 5*o + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = -2*f. Let k = f - 6. Let i(o) = -2*o + 1. Let m be i(1). Put k, m, 5 in increasing order.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316251462 to the power of 1\/2, to the nearest integer?\nAnswer: 17783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 19*w**2 - 17*w + 38. Suppose -19*y + 17*y - 36 = 0. Calculate the least common multiple of u(y) and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 31.8. Let y = f - -27.5. Round y to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 17 = 5*r - 3, r = 5*f + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(84) - sqrt(84))*-5 + sqrt(84))*-5)\/(sqrt(72)\/(sqrt(6)*1) + (sqrt(96)\/sqrt(4))\/sqrt(2)).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:37 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -0.3, 11\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-76)\/(-4) + -1. Let z(j) = j - 1. Let u(a) = -10*a + 10. Determine f*z(c) + 2*u(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.015 (c) 0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150\/7*o - 3\/7*o**2 + 2013\/7.\nAnswer: -3*(o - 61)*(o + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(6\/432*4). What is the second biggest value in 2\/3, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 3*o**2 + 2*o**2)*(-3*o**3 + 2*o**3 + 3*o**3) + 8 + 2*o**5 + o**2 + o**2 - 5.\nAnswer: -2*o**5 + 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/156 and -71\/984?\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = -2*d + 99, 3*s + 5*d = 85. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-5) + (1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/20 + 5*z**4\/4 + 6*z**3 - 3*z**2 + 8*z. What is the remainder when h(17) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1982, 6680, 14510, 25472, 39566, 56792, 77150?\n\"Answer: 1566*b**2 + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -34.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 17*f**2 + 2*f + 6. Let l be h(17). Suppose -3*i = 22 - l. What is the second derivative of -16*d**2 + 25*d**2 + i + 6*d - 6 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -2) + 18\/(-4). Let b be 20\/12 - (-4)\/(-6). Let m = b + -2. Is m >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + h + 4, -2*v - 2*v = -h - 16. Let c(t) = t**3 - 3*t**2 - 4*t - 5. Let y be c(v). Let w = -2 - y. Calculate the highest common factor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 87\/27 - (-98464)\/(-18). Let u = -3777 - a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7496898000 = 156*x - 89*x. What is x rounded to the nearest 1000000?\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - p**2 - 4*p**2 + (-3*p + 4*p - 2*p)*(-11*p - 11*p + 10*p + 2*p - 5*p + p + (-4 + 4 - p)*(4 - 4 + 2) + 3*p + 2*p - 2*p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 5*l**7\/504 - 9*l**4\/8 + 40*l**2. Let d(h) be the second derivative of p(h). Let b(x) = 3*x**2. Calculate d(b(r)).\nAnswer: 225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 3*j**2 + 0 + 1 + j. Let i = 0 + -2. Let p(r) = -4*r**2 - 4*r - 3. What is i*p(t) - 6*v(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1116\/21)\/3)\/(16\/56). Let s be 81\/54*(b\/(-33) - -2). Let g = 8.02 - 0.02. What is the second smallest value in s, -0.2, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5\/120 + 7*f**4\/48 - 191*f**2\/2 + 182. Let r(m) be the second derivative of n(m). Determine g so that r(g) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.84 - 197.14. Which is the third biggest value? (a) 1 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.63851 seconds to milliseconds.\nAnswer: 83638.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 2*i - 2*i + (-3*i + i + 0*i)*(-i**4 - 3*i**4 + 5*i**4) + 2*i**5 - 2888347 + 9*i**2 + 2887990 + 0*i**5.\nAnswer: -2*i**5 + 9*i**2 - 357","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*s = 5, 3*s - 1 = 2*s. Let d = 1 - -5. Let g = -1 + d. What is the second smallest value in -0.5, g, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249209398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (5 - 3) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11210, -89671, -302640, -717371, -1401118, -2421135?\nAnswer: -3844676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -94*m**2 - 10\/21*m**7 - 14\/15*m**6 + 14\/3*m**4 + 2*m**3 - 1 + 0*m + 22\/15*m**5. Solve c(q) = 0.\nAnswer: -1, -3\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2222808 and 5858.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2. Let u(n) be the third derivative of n**4\/6 - n**3\/2 - 6*n**2. Let h(a) = -a + 1. Let i(d) = -6*h(d) - 2*u(d). What is q(i(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -2\/3, -43, 0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.8. Let z = 1.2 - i. Which is the second smallest value? (a) -4 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124 + 65 + 55 - f**2 to the form t*f**2 + s*f + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18)\/(-2*sqrt(6)*1 + sqrt(6) - sqrt(6)).\nAnswer: -sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:36 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1871.1 + 1871. Which is the closest to u? (a) -1 (b) -2\/5 (c) 0.16 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -443206.62 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495059 and 13717?\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n - 2. Let t(a) = -39102*a**3 + 156408*a + 104272. What is -52136*o(x) - t(x)?\nAnswer: -13034*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 6.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l + 42854 = 42558 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 + 13)*(-8*t + 13*t - 3*t - 1) to the form h*t + v and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l - 2. Let v be (2\/(-6))\/((-10)\/(-30)). Let u be c(v). Solve 5 = -u*o - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 375 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 51. Let g be ((-32)\/(-20))\/((-6)\/h). Suppose -u - 3*u - g*i + 16 = 0, i = 2. Solve 10 = -2*r + u*q, 2*r + 7*q = 2*q + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -599*m**4\/4 - 6550*m**3\/3 - 629. Find the third derivative of h(d) wrt d.\nAnswer: -3594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let x(d) be the third derivative of d**5\/6 + 7*d**2. Calculate y(x(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 33. Let m = 23 - w. Let x be (-6)\/12*6\/(-4). Which is the smallest value? (a) m (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 30 = f + 2, -f - 18 = 3*v. What is the units digit of (v\/(-2))\/((-7)\/(-98))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33200692 divided by 28?\nAnswer: -1185739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144\/7 - 21. What is the second biggest value in b, -3, 0.07?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**28\/r)\/(r\/(r**(-9\/7)*r)))\/((r\/r**18)\/r**(-12\/5)) assuming r is positive.\nAnswer: r**(1411\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307*i - 1305*i = 4*p + 84, 0 = 6*i + 13*p - 252 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**21)**36)**(-35) assuming c is positive.\nAnswer: c**(-26460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1312131313?\nAnswer: 1312131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1709 - 1709 - 5*a**2 + 7*a**2 - 4*a**2 + 3*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (4 + (-15 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9713041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - -8) + -11)\/((-12)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + -227. Let d = 70 + q. Let a = d + 45.99999919. What is a rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99063, -198128, -297193?\nAnswer: -396258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 3*d + 1. Let f be r(-2). Let m = 49 + f. Let g be (126\/(-7))\/(2 - 4). What is the highest common divisor of g and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -21. Sort 3, 0, t in decreasing order.\nAnswer: 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4167 + -4166. Suppose 5*m = -2 - 3. Let t = -1 + m. Which is the nearest to l? (a) 0 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:33 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*v**2 - 2*v**2 - v**2 + 4*v**2 + 48*v to the form n*v + b + w*v**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m. Let w(b) be the third derivative of -49*b**5\/20 + b**3\/6 + 26*b**2 - 2*b + 191. Determine j(w(i)).\nAnswer: -1470*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/12 - 4*c**2 - 3*c. Let j(n) = -3*n**2 - 28. Determine j(a(t)).\nAnswer: -12*t**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -47. Let b(q) = -q**2 - 31*q - 145. Let x be b(-25). Calculate the remainder when 1*141*x*6\/90 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + 2*v**2 - 2*v**2)*(21*v + 8*v - 12*v) - 2 + 2 + 3*v**3 as y + r*v**3 + l*v + p*v**2 and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302*g**5 + 2*g**3 + 570*g**2 + 484*g**5 - 6303*g - 787*g**5 wrt g.\nAnswer: -20*g**3 + 12*g + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/4 + d**3\/3 - d**2\/2 + 18*d + 4. Calculate k(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*h = -60*h + 54*h + 1800. Sort 2, 33, h, -1 in descending order.\nAnswer: 33, 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1996\/3 - -649. What is the common denominator of q and -62\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75131, -300444, -675981, -1201754, -1877775, -2704056, -3680609, -4807446?\n\"Answer: -2*z**3 - 75100*z**2 + z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -335, -385, -473, -611, -811?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 139 - 125. Let i(h) = -967*h**3 + 11*h + 7*h**p - 19*h**2 + 968*h**3. Give i(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56383 + 338299\/6. Solve -w*i**5 + 0 + 1\/6*i**3 + 0*i + 0*i**2 + 0*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1624*z**3 + 5*z**2 - 6*z - 13. Let s(h) = 1626*h**3 - 2*h**2 + 7*h + 13. Let c(q) = 6*s(q) + 7*w(q). What is the third derivative of c(m) wrt m?\nAnswer: -9672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*x + 5*f + 113, -21 = -3*x - 3*f. Let s = 7 - 1. Suppose s*w + 220 = 10*w. Calculate the highest common factor of w and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -309564, 1, 622 in increasing order.\nAnswer: -309564, 1, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/580*(3 - -177)\/6. Is 1\/4 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 4. Suppose -3*k = 9, 4*q + t*k = -2*k. Suppose o = q*o + 5*s + 11, -5*o - 3*s + 1 = 0. Is o at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251401268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-7)\/(-84)*18\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-3\/5)))\/x**(-1\/5))\/((x\/(x**16*x)*x)\/x*x**(-23)) assuming x is positive.\nAnswer: x**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -31 - (621 + -664)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a2939 (base 13) to base 11\nAnswer: 18a077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -645*i + 643*i. Let t = -11 - -7. Let d = t + i. Solve -q - 4*m = -2, 2*m - 5 = 2*q + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -47. Do q and -98 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-490)\/(-28)))\/(1\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*w - 42 + 7, -2*f + 25 = -3*w. Suppose 0 = 10*h - 14*h + f. Suppose h*i - 2 = 18. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 6:42 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8304*a**2*x**3 + 14*a**2*x**2 + 2*a**2*x + 178680*a*x + 2*x**3 wrt x?\nAnswer: 49824*a**2*x + 28*a**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 - 2*w + 5. Let v be c(-4). Put 5, -2, v, -1 in descending order.\nAnswer: 5, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = o + 14, -2*o + 3*o + 50 = 5*u. Suppose -4*d + 5*c - u = -d, -2*d + 3*c = 6. Is -4 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1995805 and 285115?\nAnswer: 1995805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 478509 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 22*v - 68. Let q be a(-4). Sort -3, q, -4 in ascending order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let z(n) = 7*n - 1. Is 13 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**5 + 42*b**3 - 1737*b**2?\nAnswer: -360*b**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -755\/8 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1961*x**2 - 156885*x - 391. What is l(-80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-315)*1944\/(-288)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a**4\/5 + 78*a**3 + 917*a**2\/5 + 636*a\/5 + 116\/5 = 0 for a.\nAnswer: -1, -2\/7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4039 = -27*t - 3904 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33219 - -74532. What are the prime factors of r?\nAnswer: 3, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/87744 and 85\/1572.\nAnswer: 11494464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5283 (base 14) to base 11.\nAnswer: a764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 3*c**3 + 8*c**3 + 9*c**3 + 6*c**3 - 31*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*y + 6. What is the highest common divisor of y and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 818\/9 (b) 0.5 (c) 1 (d) 52\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:37 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*o**5 + 676*o + 0 + 38\/3*o**4 - 2054\/3*o**2 - 14\/3*o**3 = 0.\nAnswer: -13, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**2 - 12*g + 8. Let w(z) = -3*z**2 + 3*z - 2. Let c(b) = -i(b) - 4*w(b). Let h(m) be the third derivative of -2*m**4\/3 + m**2. Give h(c(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 180. Suppose t*l + 512 = 491. Let b(c) = 2 + 4*c**2 + 3 - 3 + 3*c + c**3. Calculate b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345123 (base 6) to base 9\nAnswer: -44586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014454 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 342935683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 51 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 18*t - 4. Let c be f(-18). Let a(p) = p**2 - p + 3. Let y be a(c). Suppose -y*k + 25*k = 40. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)\/(c\/(c**9*c))*((c\/(c**(1\/4)\/c))\/c)**(-28) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(4))*-6)\/(1*sqrt(2)*-2))**2*5.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 0, 3, -1\/58, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 13. Suppose x*u - 21 = r, -5*r + 1 - 22 = u. What is the units digit of 12\/u + (0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**7\/3360 + a**6\/720 + a**3\/3 - 2*a. Let h(l) be the second derivative of m(l). Determine c so that h(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1596.3 * 1\nAnswer: 1596.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2357542*c*o**2 - 3*c*o + c - 8*o**2 + o - 6486 wrt c.\nAnswer: 2357542*o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.22 and 13117.373?\nAnswer: 13118.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 + 189*r**3\/2 - 294*r**2 + 198*r.\nAnswer: 3*r*(r - 2)*(r - 1)*(r + 66)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 - 190 = 20*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.388 + -2.453. Let y = -0.065 - q. What is the closest to y in -0.1, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 16\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3580, 5828, 8076, 10324, 12572, 14820?\nAnswer: 17068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 2*b**2 - 4*b - 2. Let z be a(-3). Suppose -h + 3*d = -11, 4*h - d - 26 = z. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.55 - 0.55. Suppose -6*h = -0*h - 60. Let o be (-1)\/(-40)*-46 - (-4)\/h. Which is the third biggest value? (a) -2\/3 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - v + 30043 = 0, -2*h - 2*v + 3*v + 20022 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -135, -126, -117, -108?\n\"Answer: 9*v - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9536 - 9530. Calculate the lowest common multiple of 7504 and k.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {t: 1, w: 7, y: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -32 + 9 + 17 + 0*v + 4*v. Let p be n(2). Solve -p*g = g - q - 15, 2*g = 4*q + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from wkwwwywwnwbwwvnyvw.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -645, -1490, -2693, -4266, -6221, -8570?\nAnswer: -11325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11236*a**3\/5 + 61760476*a**2 + 93222592*a\/5 + 7035648\/5 = 0. What is a?\nAnswer: -27483, -8\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 66650 * 47\nAnswer: 3132550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111122000 (base 3) in base 4?\nAnswer: -2123100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 941741909 and 8709.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {l: 13, w: 1, a: 1, j: 2}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 2*w + 13. Let f(g) = 2*g**2 - 4*g + 23. Let v(r) = -7*d(r) + 4*f(r). Determine n, given that v(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*y + 37, -46 = -5*y - 2*b - 15. Let t = 172 + y. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5020235?\nAnswer: 5, 11, 97, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 112. Let y = i - -58. Solve -y = 2*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6791*0.1.\nAnswer: -679.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 194*n - 17. Let m(y) = 391*y - 41. Let z(p) = -5*b(p) + 2*m(p). Suppose 4*a + 85 - 17 = 0. Is z(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.791 from 11321.1.\nAnswer: 11324.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42686649*m*o + 4849648*m wrt o?\nAnswer: 42686649*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4917.625 litres?\nAnswer: 4917625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 5*k + 5. Let i be o(5). Let q(s) = 2 - 6*s - 2 - i. Let m(f) = -7*f - 6. Give 5*m(p) - 6*q(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - 304?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 90*d**2 - 4*d - 1. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3818 - -7700. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 2*h + 7*h + 9*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 11*h - 3*y - 526, -4*y = -h + 263. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {f: 3, a: 1, l: 2, t: 2, j: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*x - 1 - 13, 5*h - x - 14 = 0. Suppose -3*g = h*m - 199, -4*g + 2*m + 129 = -141. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/5 (b) 3 (c) 0.08 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/135 and (13 + -7 - (-2008)\/(-300)) + 0?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-40))\/((-432)\/576)*-3.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 33979 - 33990 = 5*o, 5*o = 59*b - 69 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -6, -1, 2, 75, 134.\nAnswer: -6, -4, -3, -1, 2, 75, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27756 times -0.76?\nAnswer: 0.2109456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*m + 8 = -2*y, 4*m - 5*y = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 - 12*c**2 + 9*c**2 + 15*c**2.\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/21)*w*w**9*(w**(2\/29))**(2\/27) assuming w is positive.\nAnswer: w**(55099\/5481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 4*z + 3*z. Let t(i) = -9*i. Let y(p) = 7*o(p) + 3*t(p). Let d(a) = 2*a. Determine d(y(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1320.87 to the nearest integer.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 73163*s\/2 + 85365\/2 = 0. Calculate s.\nAnswer: -12195, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -648892, -648611, -648330, -648049, -647768?\n\"Answer: 281*x - 649173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.111 and 4853.\nAnswer: -538.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 174140\/55 - (-18)\/(-99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 467. Suppose -b = -3*j + n, b + b = 4. Suppose 0 = -2*o + 5*d + j, -2*o + 178 = 6*d - 4*d. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112020 - 10211021?\nAnswer: 1200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.058552 and 0.0516072.\nAnswer: 0.1101592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -178 - 0?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 11*p + 323. Suppose 4*y + 0*y + p = 3*t, -t - y + 96 = 0. Find b such that -t*b - 4*b**2 + 53*b + 48*b + 16 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izipeeizepe. What is prob of picking 1 i and 1 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-15))\/(3\/(-60)). Let h(w) = w**2 - n*w - 5*w**2 + 5*w**2. Let u be h(8). Solve u*m - 15 = -5*j + m, 3*m - 35 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, 281, 2, -102?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 1 - (-19 + 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1155*c*p**2*r + 3*c*r - 2*c - 39532*p**2 - p*r wrt r?\nAnswer: -1155*c*p**2 + 3*c - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 177241*a**4 + 125458*a**3 - 206823*a**2 - 81056*a + 73984.\nAnswer: (a + 1)**2*(421*a - 272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5769\/30*(-10)\/8. Let n = j - -240. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/108 and 20\/8613.\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 510*a**3 + 3760*a**2.\nAnswer: 5*a**2*(a + 8)*(a + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13634232 and 39396?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 3, -5, 5 in decreasing order.\nAnswer: 9, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f - 12 = 0, -4*f = -4*g + 956. Suppose g = s + s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**4\/24 + z**2. Let p(a) = a. Let q(i) = -i - 3. Let f be q(-9). What is f*w(r) - 4*p(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9854, -39917, -90202, -160709, -251438, -362389, -493562?\n\"Answer: -10111*y**2 + 270*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 56564.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37060.0000026159 - 37060. Round i to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 2094*o**4 - 1457393*o**3 + 334165300*o**2 + 2068290000*o - 2401000000.\nAnswer: -(o - 700)**3*(o - 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36220261?\nAnswer: 7, 11, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3863 + 1?\nAnswer: -3862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 31*x**2 + 28. Let g(a) = 10*a**2 + 9. Calculate 7*g(u) - 2*h(u).\nAnswer: 8*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 16*u**2 + 19*u - 282. Is 13 a factor of p(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(3 + -6 + 2). Find the third derivative of -x**6 + 2*x**2 + l - 2*x**6 - 1 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1460, 6, 1354 in descending order.\nAnswer: 1460, 1354, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2487553 times -0.4\nAnswer: -995021.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*w - 12 = -5*c, -10 = -c + 2*w. Solve g = -2*s, 3*s + c = 2*g + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*sqrt(72) + sqrt(72)))\/sqrt(4))\/(sqrt(81)*-5 - (sqrt(9) + (sqrt(108)\/sqrt(2))\/sqrt(6))).\nAnswer: 3*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2593*d**2*q**3 + 18*d**2*q - 511068*d**2 wrt q.\nAnswer: 7779*d**2*q**2 + 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486918032.\nAnswer: 2, 59, 515803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 393134*i**2*l*p**2 + 2*i**2*l + 18*i*l + 2*i*p**2 + l*p**2 + 91*l*p - 17*l wrt i.\nAnswer: 786268*l*p**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1505028 (base 9) to base 8.\nAnswer: -3125625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23108807?\nAnswer: 19, 73, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = -15*c + 28479*p - 28484*p, 0 = -2*c + p - 12 - 50 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3 - 166916*b**2 - 34*b + 3123894?\nAnswer: -3*b**2 - 333832*b - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208894653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6208)\/141)\/(28\/6). Let v = -40\/47 + p. Let q = -10 - v. Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41553, -41813, -42245, -42849, -43625?\nAnswer: -44573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 362244 divided by -120748?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92716797 plus 0.5?\nAnswer: 3.42716797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322869 is divided by 161430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 7\/10*o**4 - 9\/5*o**3 + 0 - 1\/10*o**5 - 4\/5*o.\nAnswer: -o*(o + 1)*(o + 2)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edcdpcddepecddpeecp. Give prob of sequence epd.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2424 by -808.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 26*p + 56. Let s be f(2). What is the second smallest value in -1\/4, -0.2, s, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 797280.98010577 and -1.\nAnswer: 797279.98010577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h. Suppose 3*b - 3 - 9 = h. What is the smallest common multiple of (-202)\/(-18) + 12\/(-54) and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 9 - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -3*w**4\/4 + 181*w. Let x(i) = 3 - 3 - 5*i + 0*i. Calculate x(p(u)).\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12880.57 to the nearest 10.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-216)\/84*(-48 - 1). Calculate the remainder when (-28)\/n - 236\/(-9) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2 (c) -388 (d) 7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119))\/sqrt(7)*3)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 1 (c) 0.5 (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -151, -356, -561?\n\"Answer: -205*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -13 - (5 - 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-494)\/(-57))\/(4\/(-102)). Let l = -145 - n. Let o be 2\/(-7) - l\/28. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 28, 42, 56?\n\"Answer: 14*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 60. Suppose 2*b = 3*b - j. Suppose b*p - 3*s = -p + 191, -3*p + 144 = -3*s. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176 is divided by 2149?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3, d: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 44*d**2 - 13*d - 2610. Determine c(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10983900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**3\/6 + s**2 + 8*s. Let g be w(3). Let h be 3\/((-6)\/4) + 2. Solve 3*c + 3*b = 2*b, h = g*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4552?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*h - 2*h - 2)*(50 - 17 - 104).\nAnswer: 355*h + 142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**8\/16800 + 37*a**7\/3150 + 1369*a**6\/1800 - 2*a**4 + 117*a. Let b(u) be the third derivative of p(u). Factor b(x).\nAnswer: 2*x*(x + 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29269094366 + 509633471258933\/17412. Let k = c - -3\/2902. What is the common denominator of k and 9\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18880?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q + 4. Let v(b) = 1. Calculate s(o) - 3*v(o).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 divided by -4?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 5 in increasing order.\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 340.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -227*l**2\/2 + 156179*l\/2 - 1032.\nAnswer: -(l - 688)*(227*l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 63992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 105449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -82*b**2 + 1. Let i(s) = -s**2. Give h(i(x)).\nAnswer: -82*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*f - 2*r, 4*f = 4*r + 3 + 5. Suppose 0 = -b - 2*h + 9, 6*b - 3*b = 4*h + f. What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubo. Give prob of sequence bo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133 + 2*t**2 - 3133.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10218, 10094, 9754, 9090, 7994, 6358, 4074, 1034?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1026925 - 1025425 = 150*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322300022 - -133?\nAnswer: 322300221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/(-24)*-23 - 1\/4. Suppose -l - 2*t = n, -2*l = -5*l + t - 182. Let b = l - -508. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) - 2\/(-8). Let j = -0.2 + -0.2. Let k = j - -0.3. What is the closest to o in k, -2\/3, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.977 - -12.577. Let c = 0 + 1. Put -7, s, c in ascending order.\nAnswer: -7, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-72)\/20)\/1. Let o(t) = t**3 - 6*t**2 - 6*t - 2. Let z be o(7). Which is the third smallest value? (a) f (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(4*k + 5*k - 4*k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58547 and 5?\nAnswer: 292735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -469.\nAnswer: -5\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-60)*180\/(-50).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3090 - -16823\/1030. What is the common denominator of f and 39\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 5. Let w be r(8). Let q be (-530)\/(-4)*(-3)\/15. Let b = q + w. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 20*d + 47. Let v be a(16). Let x = 117 - v. Solve 23 = -x*w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000000100011 - -10?\nAnswer: 11111000000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:52 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 8*w - 476. Is w a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*o - 8*o + o - 21*o as n + d*o and give d.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11556, 1, -0.1218, -4.\nAnswer: -4, -0.1218, 1, 11556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q**2 - 3 - 4*q**2 - 2*q**2 + 12*q - 6*q**2 as s*q + v + h*q**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423001221 to the power of 1\/2, to the nearest integer?\nAnswer: 49224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 61*a + 2492 = 0. What is a?\nAnswer: -89, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2236275 is divided by 55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 3975296?\nAnswer: 43728256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1076\/5 + 216. Sort -0.4, d, 3\/7 in ascending order.\nAnswer: -0.4, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (12 - ((-5 - -8) + 2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234931796 is divided by 813.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose 5*w - 11 = -2*q, -2*q + 23 = 3*w - b*w. Let k(a) = -a**3 + a**2 + 4*a + 1. Calculate the remainder when k(-3) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 35*b**3 + 30. Let y(j) = -j**3 - 1. Give m(p) + 30*y(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167772 and 671088.\nAnswer: 671088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2032492227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -2.01. What is the second smallest value in 0.3, 2\/9, 18, a, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -763 + 5?\nAnswer: -75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h. Let n(d) = -42*d**2 - 2*d - 3996. Determine n(i(t)).\nAnswer: -6048*t**2 + 24*t - 3996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34\/27 + -4\/3. Which is the smallest value? (a) 5 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*i**2 - 2230566*i + 2230566*i.\nAnswer: 925*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15410429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**4\/12 + s**2. Let o(u) = -5*u**2 - 11. Let k(q) = -3*q**2 - 6. Let w(t) = -11*k(t) + 6*o(t). Give w(c(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/9 and -54\/55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 1)*(-4*o + 4*o + 2*o)*(-8*o**3 - 10 + 10) as t*o**4 + s*o**3 + i + n*o**2 + j*o and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 572 = 5*l, 4*l + k = 263 + 199. Let c = -12 - -23. Suppose 0 = s - c - 18. Calculate the greatest common factor of s and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 7*g**2 + 2*g + 21. Calculate j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101210213 (base 5) to base 15.\nAnswer: -82658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.524545 millennia to months.\nAnswer: 66294.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*c + 20*c - 52*c**2 + 20*c to v*c + z*c**2 + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**5*d\/((((d**7*d)\/d)\/d)\/d))\/((d*(d*((d*d*d**(-1\/15))\/d)\/d)\/d)\/((d\/(d*d**(-2\/7)*d))\/d)))**(-2\/3) assuming d is positive.\nAnswer: d**(136\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 4961. List the prime factors of y.\nAnswer: 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2414 + -2416. Do u and -63\/47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 102*h - 3. Let d(m) = -8*m - 4*m + 16*m - 4*m - 3*m. What is d(n(t))?\nAnswer: -306*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*z + 29, -2*z = -n - 3*n - 10. Let g = n + 34. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7771778 rounded to 3 dps?\nAnswer: 2.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 9*d**2 - 9 + 2*d**2 - 8*d**2 as l*d + j*d**2 + r and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from pgt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = q + q, -5*q = 4*f - 8. What is the second derivative of 10 - 3 - 4 + 2*i - 36*i**q - i wrt i?\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/3)*g*g*g)**17\/((g**4\/g)\/g**(-5)))\/((g**(-1\/3))**(-2\/65)*(g*g*g**(2\/13))\/(g\/g**(4\/7))) assuming g is positive.\nAnswer: g**(64061\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*l + 5, -9*l + 0*z = -4*l + z - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 517967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 6. Let x = 43 - 37. Let k be p(x). Let t(f) = 4*f**2 + 3*f - 20. Is t(k) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -12. Suppose -v = -4*j - 4*p + 1, -p = 4. Suppose -9 = -f + j. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from tgggjgyggogggotoo.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 4*j - 4. Let c(p) = -3*p**2 + 5*p + 5. Let z(m) = -4*c(m) - 5*o(m). Let d(n) = -13*n**2 - 57*n**2 - 8232 + 8232. Calculate z(d(w)).\nAnswer: 9800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let r(t) = -t**2 - 2*t + 4. Let z be r(-4). Let k be 2\/z*(-3 - -5). Calculate i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 14) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.3433404423 less than 0.05?\nAnswer: -41.2933404423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.9 + -89.1. Let l = i + 94.9. Let f = 39 - 21. What is the second smallest value in f, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -35, 0, 2, -9 in increasing order.\nAnswer: -35, -9, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 50*j - 4814. Let t be x(98). What is the greatest common factor of t and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 22*c**4\/5 + 3*c**3 - 273*c**2\/5 + 82*c\/5 + 24\/5 = 0?\nAnswer: -4, -2\/11, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 7*w**2\/2 - 196. Let c(d) = -2 + 2 + 2*d. What is c(g(n))?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(112) + 1 + 3 - sqrt(112)) + sqrt(112) + sqrt(112) + 0 + sqrt(112) + -3)**2 - (sqrt(112) + -1 + 4 + -4))*-2.\nAnswer: 80*sqrt(7) + 4040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 - -539?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*g - 10 = 0, 3*g - 8 = 6*i - 4*i. Suppose 0 = i*l - 3*l + 6. What is the lowest common multiple of l and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -1\/7, -2\/5, 1.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 150b3 + -1?\nAnswer: 150b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 35*g - 55. Let f be t(-15). Solve -4*q + 26 = 3*b + 3, -4*q + f = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-6)\/(-18) - 1). Let k(x) be the first derivative of -m*x + 2\/9*x**3 - 3 + 0*x**2. Factor k(b).\nAnswer: 2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Let n be g(7). Suppose -4*l = -3*l - n. Let k = l + -5. Is k greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -9*n + 24. Solve -6 = 2*j, -m + n + 11 = -5*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 - 137. What is the remainder when 512 is divided by w?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*s - 1250*s + 1591*s - 1256*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_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: 2164*-0.06\nAnswer: -129.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82823796 divided by 4101.\nAnswer: 20196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-6)\/(-6))\/30*4*5\/(-20))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/16*144\/(-216).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 3*z)*(4*z - 2*z - z)*(z**2 + z**2 - 3*z**2).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1706*p**3*v + p**3 - 3851*p**2 - 187329475*p + v wrt p?\nAnswer: -10236*p*v + 6*p - 7702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 24\/(-10)) + 508\/5. Let h = c - 66. Suppose 2*g - 2 = -q - 1, 0 = q - 5*g - h. What is the least common multiple of 50 and q?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -0.53. Let u = g + -3.6. Let h = 451.2 - 451. What is the smallest value in -1\/5, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491986*d - 3213 = -246029*d - 246020*d for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-28) + -3 + (-2514)\/(-21). Suppose -n - y = 2*x, -3*n - 2*x + 105 = -4*n. Let l = -92 - n. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 2. Let p be s(-1). Solve p = -5*k - 4*y - 33, 4*y = 4*k + y + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.798 + -2.798. Which is the closest to -1\/3? (a) g (b) -2\/3 (c) 5\/3 (d) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*u = 2159, -2*m - 11*u = -12*u - 2157. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/17 - 2*a**3\/17 - 60*a**2\/17 - 152*a\/17 - 112\/17 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66\/1147 - -4258\/5735. Determine x, given that 324\/5*x + 0 + b*x**4 + 76\/5*x**3 + 396\/5*x**2 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 0 - 2)*(-2*c + 0*c + c)*(-c - 2*c + c).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, -0.1, -1, 21 in descending order.\nAnswer: 21, 5, 0, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeym. What is prob of sequence ye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/(1\/2). Let o(h) = 3*h - 31*h**3 + 11*h**3 - 3*h**2 + 13*h**3 + 2*h + 5. Let m(f) = -8*f**3 - 3*f**2 + 6*f + 6. What is t*m(b) + 6*o(b)?\nAnswer: -2*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 0*y + 7\/3*y**3 + 31*y**2 + 5\/6*y**4. Differentiate s(k) with respect to k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -6*w + 0*w**3 + 8 - 2\/21*w**7 + 0*w**5 + 0*w**4 + 0*w**2 - 4\/15*w**6. Factor t(y).\nAnswer: -4*y**4*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 4*m - m - 3*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117585 divided by 39195.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 - (0 - 86\/18). Suppose 5*i - 35 = -5*x, -2*i - l*x = -0*i - 26. Is 3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112369.7 days to weeks.\nAnswer: 301767.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824885?\nAnswer: 5, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6154, 6133, 6112, 6091, 6070, 6049?\nAnswer: 6028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 - 143.13. Let j = a - -0.13. Let w = -0.2 + 0. What is the closest to j in 1, w, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = 5*l - l, -5*p = -l + 10. Let n = 0 - p. Let h be ((-4)\/(-50))\/(n\/(-10)). Which is the closest to 0.1? (a) h (b) -0.2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*f - h, -2*h = -4*f + 6*f - 44. What is the greatest common divisor of 54 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -386, -741, -1238?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1017654*u**4 - 28*u**3 + 172331705*u**2.\nAnswer: -24423696*u - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 18. Let t be l(18). Suppose t = -o - 117 + 651. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 24, 63, 122, 207, 324, 479, 678?\n\"Answer: u**3 + u**2 + 15*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7773.306 months to centuries.\nAnswer: 6.477755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-8) + 3)*6. Let a be 6\/(-2) + i + 11. Solve k = -2*t - 3, a*t - 4*k - 16 = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -21.1. Let k = z + -3. What is k rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -139b0f76?\nAnswer: 139b0f72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + w**2 + 0*w**2)*(11 - 5 + 1)*((0 - 1 + 2)*(28 - 25 - 23) - 4 - 2 + 4) in the form h*w + m*w**2 + g and give m.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651621.331 rounded to the nearest one hundred?\nAnswer: 1651600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 79. Let v = c + 34. Let y = 4 + -6. What is the smallest value in v, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 215214*k - 25. Let v be a(6). Let s = v - 1935259. What is s rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - -128. Suppose 2*h + f + 538 = 2*i, 4*i = 3*h + 1429. Let p = i + -159. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*q + 119 - 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149661 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*u - 4116 = 44*u. Solve -4*z - 3*t = 11, -t = -4*z - z - u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(3 + -6)\/3. Let r be 0 + (2 - k\/1). Suppose r + 3 = 4*j. Solve -j = c, 5*g - 5*c + 3*c + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 804 = -35*n + 98*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = f - 4*s, 2*s - 7 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016857 to seven decimal places.\nAnswer: 0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39a (base 14) to base 16\nAnswer: -2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 2*q**2 + 4*q - 4. Determine u(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 18 = 3*x, 0 = 3*c + 1206*x - 1210*x + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 24211.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12909, -25966, -39023, -52080?\n\"Answer: -13057*n + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9281924l in millilitres?\nAnswer: 928.1924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/3 + 28*c**3\/3 - 10*c**2\/3 - 232*c\/3 + 104 = 0.\nAnswer: -3, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 6*sqrt(132)*-2 + 3*(sqrt(132) + 2*sqrt(132)))\/(sqrt(220)\/sqrt(5) - (sqrt(11) + sqrt(22)\/sqrt(2)*2)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -78*c - 17. What is the tens digit of z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((420\/(-33))\/(-20)*8\/14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 383*g**3 - 194*g**3 - 2*g - 194*g**3 + 7 + g in the form h*g**2 + w + l*g + d*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - m - 48 = 0, 5*t + 0*m - m + 113 = 0. Let o be (-13)\/65 + t\/(-65). What is the closest to o in -1\/4, -4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24890759743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5\/6*u**3 + 0*u**2 + 0*u**5 + 0 - 7*u + 0*u**4 - 1\/6*u**6. What is the second derivative of o(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12298698*t**2*y**3 - 22*t**2 + 222647*t*y**2 wrt y.\nAnswer: 73792188*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 891, 7203, 24375, 57849, 113067, 195471, 310503?\n\"Answer: 907*o**3 - 12*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -1. Let z = 1\/6 - -1\/12. What is the closest to -1 in 0, z, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + -4 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*d + 67*d = 1510755. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((108\/16)\/(-9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 2. Let k be g(-4). Let t be 2\/k - 7\/39. Let d = 4.4 + -0.4. What is the second biggest value in t, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**5\/15 + 11*c**4\/4 + 148*c**3\/9 + 38*c**2 + 112*c\/3 - 2782. Determine h so that w(h) = 0.\nAnswer: -28, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - c = 32, 5*h + 2*c = c + 66. Let v = 7 - h. Which is smaller: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1}. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2733060 and 157030?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -12, -13, -4, 3, -18 in ascending order.\nAnswer: -18, -13, -12, -4, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 2*k + 185055 + 196611. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/28)\/(-1*10\/35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (1266 - 1))\/(10\/(-5)). Let q = c - 605. Solve 4 - q = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4*r + 234*g**2 + 10*g*r - 2*g - 1447*r wrt g.\nAnswer: -24*g**2*r + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*j + 95 + 2*j**2 + 27*j - 25 - 11*j wrt j?\nAnswer: 4*j + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + i + 6727, 0*d + 4*i - 1652 = -d. Calculate the highest common divisor of 616 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8124?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 750*p - 1499*p + 751*p + 104*p**3 to v*p**3 + m + h*p**2 + a*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-6*(sqrt(68) + sqrt(68) + 1*sqrt(68)) + sqrt(68) - (3 + 0 + sqrt(68))) + ((sqrt(68) - (sqrt(68) + 0 + sqrt(68))) + -4)*-4)**2.\nAnswer: -728*sqrt(17) + 13492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -22792*k**2 - 6*k - 9. Let m be j(-5). Let r = m + 1719779. What is r rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/11 - 2320*h**2\/11 + 3708000*h\/11 = 0.\nAnswer: -2060, 0, 900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60206 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/11 - 490\/(-154). Suppose -j = -g*v - 25, -5*j + j - 2*v = -156. What is the remainder when 110 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3050659*j**2 - 762670*j**2 - 762666*j**2 - 762669*j**2 - 762672*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 223, 92, -79, -290, -541, -832?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwzmnbbnzmnnmwnnmkm. What is prob of sequence nmm?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/598 and 73\/3.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 + 9*p + 4. Let q(k) = 45*k**2 - 45*k - 21. Let g = -54 + 33. Let x(d) = g*n(d) - 4*q(d). What is the second derivative of x(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/5 + 234*u**3 + 115239*u**2\/5 + 45396*u + 112908\/5.\nAnswer: 3*(u + 1)**2*(u + 194)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(441)\/(sqrt(63)\/(sqrt(448) - sqrt(7))))\/(sqrt(84)\/(-4*sqrt(12)*4)).\nAnswer: -560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6 + 1. What is the lowest common multiple of x and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 605785950 by 525.\nAnswer: 1153878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 9, -2, -29, -78, -155, -266, -417?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 3 - 3 + (3988 + 3679 - 2394)*(0*a - a + 4*a).\nAnswer: 15817*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/18*-4*6\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (2 - (-4 + (-5 - -5)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + -57. Let m = n + 84. Solve -s + m*s = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1099 (b) 0.13 (c) 5 (d) 13 (e) 2 (f) 3 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236356 (base 7) in base 13?\nAnswer: 14ca53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211210 + -11?\nAnswer: 211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -413 - 10?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*n - 15, -10 = -n - 0*n + 2*r. Let w = n - -31. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 885, 1470, 2061, 2658, 3261, 3870?\nAnswer: 4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231887 = -80*h - 229007 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73605834 and 18?\nAnswer: 73605834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/7756863?\nAnswer: -4\/7756863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 6*x + 26. Let l be u(9). Which is the nearest to l? (a) -52 (b) 5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q - 5*q + 5*q)*(q - 2*q + 2*q)*(-3 - q**2 + 3) as k*q**3 + b*q + t*q**4 + s*q**2 + v and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -523 greater than or equal to -524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-28)\/(448\/120)*16\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -3\/4 (c) -5\/3 (d) 2\/11 (e) -3\/1856\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-18)\/5 + 2064\/(-10). Let f be (11 + v\/18)*4\/(-1). Let -1\/10 + 1\/10*m**f + 1\/10*m - 1\/10*m**3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -402.1 - -365. Let v = d - -37.558. Round v to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*v + 2. Let w be (-2 - v - -2) + 0. Suppose 0 = 4*k - 5*u - 17 + 4, 3*k - 3*u - 9 = 0. What is the greatest common divisor of k and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*2 + 1*sqrt(1575))\/(sqrt(45)\/(sqrt(10)\/sqrt(2) + sqrt(5)) + sqrt(18)\/(sqrt(2) - sqrt(32))) + 2.\nAnswer: 2 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -50 + (2 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 11:16 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/12*(-172)\/129. What is the closest to 0 in 207, 3, f, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 11001000010111011001000010?\nAnswer: -11001000010111011000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(1 - 0) + -3. Find the second derivative of -8 + 8 - o*y - y**2 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 57*w + 572. Let i be o(-10). Solve -5*c + 4*r - 12 = i*r, 4*c - 2*r + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214636 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257 + -179. What are the prime factors of z?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3\/3 - 921*a**2\/2 - 1346*a + 3123. Differentiate h(d) wrt d.\nAnswer: 2*d - 921","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 11:50 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/(-8) + (872 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 68*j + 14. Let u(d) = -28*d + 164. Let w be u(7). Let k be s(w). Which is greater: 143 or k?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14ca (base 16) to base 9\nAnswer: -7263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*i + 592, 0 = -2*n + 17*i - 21*i + 294. What is the greatest common divisor of n and 4619?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -132*l**3 - 31*l**2 - 39*l - 48. Is u(-7) a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*((-6 + 1 + 3)*(-123 + 123 + 36*s) - 49 + 49 - 70*s) to the form g + d*s and give d.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -384*v - 212. Let w(b) = 82*b - 1. Let i(r) = d(r) + 5*w(r). Determine i(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.5 + -54.5. Let r = -81.2 - y. What is r rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21\/2 (b) 0.2 (c) 2 (d) 2.5733\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let s(d) be the third derivative of -d**7\/1260 - d**4\/24 - 3*d**2. Let g(h) be the second derivative of s(h). Give g(x(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 10.\nAnswer: 29\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 69.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130990 is divided by 7976?\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 2*n + 2*n - 5*n. Let f(v) = v. Calculate q(f(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0 + 0*g**3 + 0*g**2 - 1\/4*g**4 - 20*g. Let b(j) = -3*j. What is b(m(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, n: 1, r: 4, h: 4, c: 3}. What is prob of sequence nht?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 10*h + 4. Let q be d(-10). Calculate the greatest common divisor of q and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + x**2 - x + 10. Let h be z(8). Let o = h + -338. Suppose 0 = -6*l + l + o. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**2 + 2*d**4 - d**4 - 3*d**4 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*s + 13*w + 15, 2*s + 4*w - 66 = 0. Let y = 57 - 39. What is the highest common factor of y and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeffffeee. Give prob of picking 3 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 23*v - 28. Let k be g(-10). Put 165, k, -4 in ascending order.\nAnswer: -4, k, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -66*q**2 - q - 11. Let m(j) = -2*j**2 + j + 2. What is -5*m(d) - o(d)?\nAnswer: 76*d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47344182 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 44. Determine o(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -0*v + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (20 + -98 + 47).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*(-6)\/(-15))\/(618\/2575).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1312704 and -0.37.\nAnswer: -485700.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 10. Let u be m(-11). What is the highest common factor of 161 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837036 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 52403\nAnswer: -3\/52403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1672*g - 2*g**3 + 966 - 835*g - 837*g - 966.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -34?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-4)*(-14)\/(-56)*-4. Let u = -0.43 - -0.03. Sort 1, a, u in descending order.\nAnswer: a, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4553515509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 475?\nAnswer: -47e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:08 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose 2*u + t + 0*t = 7, 15 = 3*u - 3*t. Solve -u = -p*s - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 5:44 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 10. Let w(p) = -p**2 - 4*p - 1. Let t be w(n). Suppose -4*i + t*k + 25 = -27, 2*i + 2*k = 38. Solve -5*z + i = 5*q, 0*q + 14 = 3*z - 2*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781044753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*p + 78 + 354 = 0, 124 = -o - 5*p. Let y(h) = 39*h - 146. Let b be y(7). Let l = o + b. Calculate the remainder when l is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0 + 0 - (-4849 - -4828)) + -17 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 97*y**2 + 29*y - 226. What is the units digit of a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 3. Let s = -0.08 - -0.14. Let w = 0.04 + s. Which is the closest to w? (a) 1\/3 (b) f (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11763 and 4?\nAnswer: 47052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -6, 5 in ascending order.\nAnswer: -6, -3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 - 129*x**5 - 39*x**2 - 2*x wrt x.\nAnswer: 240*x**3 - 7740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.0749\nAnswer: 0.03745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, -2, -4, -177, 5, -1, 4.\nAnswer: -213, -177, -4, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 + 506*h**2\/9 + 2*h\/9 - 506\/9.\nAnswer: -2*(h - 253)*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)\/i**(1\/3))**(-11)*(i\/(i*i**(2\/13))*i*(i\/i**(-2\/3)*i)\/i)\/((i\/i**(1\/4))\/i)**(-44) assuming i is positive.\nAnswer: i**(670\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 108, 154, 198, 240, 280, 318?\n\"Answer: -b**2 + 51*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 121951. Let h(x) = 21*x**2. What is d(h(w))?\nAnswer: 2205*w**4 - 121951","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -142. Let n = 3 - 2. Let i = -19 - -34. Solve t*v + i = -n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2\/13, -453.\nAnswer: -453, -18, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) + (-1287)\/(-15). Let z = j - -136. What are the prime factors of (1 - 3)*z\/(-4)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/(7 - 110\/20). What is the highest common factor of 4509 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 1. Let a be f(1). Let t be 0\/((-1)\/(-2)*2). Suppose -a*u = -t*u - 44. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -60, -125, -216, -333, -476?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5053 or 5054?\nAnswer: 5054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2 - 27*a + 20. Let q(f) = -4*f**2 + 9*f - 7. Let p(s) = -3*g(s) - 8*q(s). What is the tens digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76682*b**3*j**3 - 26*b**2 - 2*b - 328*j**3 wrt b.\nAnswer: -460092*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 23 = -t, 2*w = 4*t + 3*w - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**3 - u**2 - u - 1. Let w be 3\/((-4)\/16*-6). Is 13 a factor of i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 161*t**4 + 157*t**4 - 34*t**3 - 317*t**4 + (-t**4 + 0*t + 0*t)*(1 - 2 + 3).\nAnswer: -t**4 - 34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 2*z - 4*z + 0 - z + 0 + 3 - 3 + 2*z + 2*z - 3*z + 0*z + 5*z - 2*z - 4*z - 1 - z + 1 + (-2 + 4 - 3)*(2*z - 2*z + 2*z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 33. What is the smallest common multiple of 464 and u?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10140 and 16908788?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a0852 (base 11) in base 10?\nAnswer: -1918996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + -3 - (11 + -19 + 10 + -54)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 13936 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 4 + (-115 - (-72 + -58))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -24. Put h, -4, 2 in descending order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 4*k**2 + 2*k - 5. Let x be h(4). Suppose x*l = l + 8. Suppose 3*z + 51 = 3*s, 0*s + l*z = 3*s - 50. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12243 and 1486080193.\nAnswer: 1486067950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jttttjtjjtjtjjtjttj. What is prob of picking 3 j?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -9*y**5\/8 - 627*y**4\/4 - 3795*y**3\/4 - 285*y**2\/2 + 7599*y\/8 + 1197\/4 = 0.\nAnswer: -133, -6, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47960\/1181 or 40?\nAnswer: 47960\/1181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*l = 167*l + 120 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n*o**4 - 1481933*n*o**3 + 2*n*o**2 + 28*n*o + o**4 + o**3 + 10455*o - 4 wrt o?\nAnswer: -48*n*o - 8891598*n + 24*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 116?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000 (base 2) to base 7.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1103 + -27582\/25. What is the common denominator of f and (-616)\/(-6)*2\/40?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*y + 38018 = 2*y, -50672 = -4*p - 2*y. Suppose -2*j + 5*q + 2584 + 2496 = 0, 4*q = 5*j - p. Suppose -3*s + j + 137 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:42 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 7*j**2 + j + 65. Let h be m(8). Factor 16*s**3 - 20*s**4 + 5*s + 4*s**5 - 14*s + h*s.\nAnswer: 4*s**3*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/5541376 and -7\/4384?\nAnswer: 5541376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42198 divided by 3\nAnswer: 14066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, l: 1, u: 2, m: 2, b: 4}. Give prob of sequence uul.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1184, -0.14, 3, 0 in increasing order.\nAnswer: -5, -0.14, 0, 3, 1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4473 take away 4?\nAnswer: -4477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113030 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2520 - 2517. Solve -3*s + 15 = x*j, 3*j + 9 = 5*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 75816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26329, -26334, -26341, -26350, -26361, -26374?\n\"Answer: -w**2 - 2*w - 26326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -4*l**2 - 4 + 2*l**2 - 2*l**2 + 5*l**2 + 8*l. What is h(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/19, -4.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 233679 (base 13) in base 5?\nAnswer: 203222344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 57 = 2*p - 6*p, 0 = 4*h + 3*p - 254. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 3076.25?\nAnswer: -2153.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -7*t**6\/10 - 7*t**3\/2 + 16*t. Find the second derivative of j(u) wrt u.\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 4176*u**4 + 1205160*u**3 - 104602576*u**2 + 2957282364*u = 0. What is u?\nAnswer: -1293, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 4*t + 3*v + 32 - 6, 4*v + 16 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + 0.01. Let c = q - 2.04. Let x be (-16)\/90 + 8\/20. Put c, 0.4, x in increasing order.\nAnswer: c, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220 + r - 224 + 0*r)*(-22*r + 22*r + 7*r**2).\nAnswer: 7*r**3 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/10)*f)\/f**26)\/((f\/f**(1\/17))\/f*f**18) assuming f is positive.\nAnswer: f**(-7147\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmcu when four letters picked without replacement from tauucunmumnummm?\nAnswer: 5\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -53007, -2, 0, -301, -3 in increasing order.\nAnswer: -53007, -301, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157, 601, 1357, 2425?\n\"Answer: 156*j**2 - 24*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 + 1 = -2*s, 4*c = 3*s - 25. Solve s*b + 20 = 2*i, 5*i - 2*b - 38 = -10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4675757 and 2175.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**7\/126 + f**6\/45 - f**5\/20 - f**4\/9 + 2*f**3\/9 - 4*f. Factor i(h).\nAnswer: h*(h - 1)**2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Let m(l) = -l**2 - 8*l - 13. Let v be m(-5). Suppose v*f = 12 - d. Solve -r - r = 5*q, 5*r = f*q + 35 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 475.8915ns?\nAnswer: 0.4758915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 601642 or 601626?\nAnswer: 601626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -32, -74, -134, -212?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o - 4, 0 = -g - o + 2223. Is 53 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 u when four letters picked without replacement from ukukukuuuuuuuuuu.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -52*u + 4679. Let h be x(90). Which is the closest to -2? (a) h (b) -4\/25 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22120444 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 0*p - 3*p + (3 + p - 3)*(-3 + 4 - 3) + (0 + 0 + 2*p)*(1 + 5 - 7) in the form v + z*p and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.76 + 0.98. Let p = s + -0.12. Let w(d) = -d**2. Let z be w(2). What is the nearest to p in 4, -5\/4, z?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -246 - -257. Suppose 9*t - k*t = s - 965, -5*t + 2375 = -5*s. What is the greatest common divisor of 32 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**4 - 13*l**2 + 78 - 86 + 2*l**3 - 19*l**4 + 77 - 67 to the form r*l**3 + p*l + j + t*l**2 + n*l**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**8\/48 - f**5\/15 + 5*f**2. What is the third derivative of c(t) wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-15) + 314\/3. Suppose g - y = -g. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2365 divided by 11\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3484, -3481, -3478, -3475?\n\"Answer: 3*a - 3487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22899*q*t**3 + 12*q*t**2 + 3*q - 263009*t wrt t?\nAnswer: -137394*q*t + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - (-81)\/4. Suppose 19 + r = 3*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/11 and 109\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {c: 9, p: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4396338 and -11\/488482?\nAnswer: 4396338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3657650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/68)\/((-18)\/(-24) - 0). What is the closest to -0.1 in -0.37, 10, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 3*t + 0*t)*(164 + 3*t - 80 - 88 + 593*t**2).\nAnswer: -1779*t**3 - 9*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssssssqxssss. Give prob of sequence ss.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:04 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*k - 3 = 0, i - 5*k = -2*i - 5. Let m = -1.1 - -1. What is the closest to m in 2\/3, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 70. Let r be (-17)\/238*(1 - m). Let w = -12 - -11.2. Which is the biggest value? (a) 0.1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -1055.\nAnswer: -1054.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000540259 to six dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 129 = s, y = 4*s - 591 + 12. Suppose s = -6*t + 3*t. Let q = t - -58. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2279*v**2 - 4*v - 42?\nAnswer: 4558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -58, -59, -60, -61, -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 37. Let y be h(17). Let o = 0 - 0. Suppose k = -3*v + 44, -y*v - 3*k + 42 = -o*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68)*1*-6 - (sqrt(68) - 3*sqrt(68))*4)\/((sqrt(320)\/(sqrt(8)*2 - sqrt(8)))\/(1*sqrt(40)\/sqrt(4))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)\/(w*w*w*w\/(w**(1\/6)\/w)) assuming w is positive.\nAnswer: w**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2787822275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 213212*-458\nAnswer: -97651096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 3*k**2 + 3*k**2)*(22 + 33*k**2 - 22) - k**3 - 9*k**4 + k**3.\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12139.\nAnswer: 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 17*d**2 - d + 1. Determine l(6).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1113 + 2314442?\nAnswer: 2315555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9262.\nAnswer: 2, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1389, -2791, -4197, -5607?\nAnswer: -7021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from asasssss.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.924 plus -467859?\nAnswer: -467688.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 811261 = -41*b + 36*b, -5*d = -15. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282234019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236*f**3 - 890*f**2 - 2*f - 496113?\nAnswer: -1416*f - 1780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1+16823264083028.2\nAnswer: 16823264083027.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155.5 - 155. What is the third smallest value in -3\/7, b, 2\/13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, -9, -0.4, 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z + 36. Let a(s) = s + 9. Calculate 9*a(i) - 2*k(i).\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**2*o)*o**2\/o)\/(o**(-3\/2)*o*o**(-2\/31)) assuming o is positive.\nAnswer: o**(-27\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 1. Let f(q) = q. Let g(y) = -9*f(y) + 2*o(y). Let n be g(-6). Suppose -2 - n = -p. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*w**2\/5 + 32663*w\/5 = 0.\nAnswer: 0, 32663\/212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 11. Let a be t(-11). Suppose a*j + 3*j = 30. Solve -2*x + j = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.538749 rounded to 1 decimal place?\nAnswer: 120.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 + -2 + 2 - 0\/1 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64419806?\nAnswer: 2, 11, 2928173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*j**5*x + 62*j**3*w**2*x**3 + 24*j**2*w**2*x**3 - 911*j**2*w*x**2 + j*w**2*x**3 wrt j.\nAnswer: 16080*j**2*x + 372*w**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4361, -13377, -22393, -31409, -40425?\nAnswer: -49441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*t**5 + 352*t**2 wrt t.\nAnswer: 5160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*d**2 - 12*d + 4*d**2 - 106*d + 7*d**2 - 22*d + 266 wrt d.\nAnswer: 2*d - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60161084 * -0.01.\nAnswer: -601610.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -232. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-2 + 2 - 2)*(-5*q - 2*q**2 + 5*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 40\/13, -0.3, 3, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 7:14 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (27 - -30 - 30 - 8).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -431 in -0.3, -903, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2204 - 6085 = -i, -8 = 2*l. Let y = i + -2386. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Suppose 3*v + 0 = 4*t + 4, -3*v = 2*t - 16. Let q(d) = -t*d - 4 + 4 - d. What is -3*q(m) + 4*u(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 - 753 = -52*c. Solve -c = 69*r - 59*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.278*-10.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8\/3*u + 1\/3*u**2 - 1\/3*u**3 = 0. Calculate u.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/3 - ((-18 - -6) + 20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284750.032 rounded to the nearest 1000?\nAnswer: 285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 381\/8. Let t be (-24)\/588*4\/(-4). What is the second smallest value in m, 1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8406 + 8423. Solve -7 = u*q - 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*j - 10 = 16, -4*t = -5*j - 8. Let a be (t - 4 - -16)\/(-4)*-32. What is the highest common divisor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2\/4*(-40)\/140). Does h = 40\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 11*o + 1. Let a(g) = 820*g**2 - 13*g - 1. What is -a(z) - i(z)?\nAnswer: -822*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, 186333 in increasing order.\nAnswer: -3, -2, 5, 186333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42209395 by 8441879.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*q = 9502, -5*v - q - 34 = -15909. Is (-1)\/11*2 + v\/33 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/45 and 71\/10033450?\nAnswer: 90301050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 12a0713b?\nAnswer: 12a07137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756*t - 111314 + 252499 + 167182 = -5563*t for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40783 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/7 - 23342*r**2 + 25045796*r\/7 - 24882400\/7 = 0. What is r?\nAnswer: -81850, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31\/((-372)\/(-13152))*6\/16 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 8:57 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 926\/11. Sort 2, -5, l in descending order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 take away -43269853594.5?\nAnswer: 43269854263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10b78 - -34?\nAnswer: -10b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 4*c, -j + 4*c - 36 = -8. Let n be (-33)\/(-9) + j\/12. Let k(f) = -n*f + 7*f - 3*f. Let l(r) = -3*r**2. Determine k(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/55)\/(27 - 23)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**3*s*s\/s**2*s)**10)**13)**(-21\/4) assuming s is positive.\nAnswer: s**(-4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1775358 and -5\/1701.\nAnswer: 12427506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/4 - 4*c**3 + 15*c**2 + 41*c + 1230. Determine q(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -659, -587, -515, -443, -371, -299?\n\"Answer: 72*s - 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13786 + -994. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12157 or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, w: 9}. What is prob of picking 4 w?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-60 - -22) + -36 + 87?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 16*d - 3*l + 96, 0 = -2*d + 3*l + 79. Calculate the remainder when d is divided by (-616)\/(-32) + 1\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 2*t - 1. Let x(w) = -2*w**3 + 2*w**2 - 20*w + 7. Calculate -6*a(h) - x(h).\nAnswer: 2*h**3 - 8*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.68 + 1. Let q = i + -0.02. What is the closest to 2\/5 in 1, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 6*t + 165 = 275 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -62\/19445 (b) -5 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f - f + 13*f - 20)*(-f + 3*f + 2*f).\nAnswer: -12*f**2 - 80*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.016802 times 114\nAnswer: -1.915428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let r be p(3). Let k = 11513 - 11497. Is r <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.218 - 0.118. Let p be 13\/1170*-4*10\/(-2). Which is the nearest to d? (a) -2\/3 (b) p (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98613.0000094421 + 98613. What is c rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 - 285.5. Let t be 2\/(-8) - (-1)\/(-2). What is the closest to -3 in c, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 2. Let h(y) be the third derivative of y**6\/120 - y**5\/10 + y**4\/24 - 4*y**3\/3 - 16*y**2. Let t be h(6). Determine v(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose 0 = 3*p + l - 99, 4*p = -k*p - 4*l + 140. Suppose -i - 3*i - 3*t + p = 0, -i - 3*t - 1 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -21. What is the least common multiple of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01805776 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 610*i + 4. Let c be v(3). Factor -2*a**5 + 1830*a**4 - c*a**4 - a + 4*a**2 + 3*a.\nAnswer: -2*a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 + 2*m. Let i be p(5). Let h = -42 - i. What is the units digit of (-4)\/h - (-150)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -21. Suppose 29 + 31 = p*j. Let k = -205 + 213. What is the least common multiple of k and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**2 - 4*w**2 - w + 0*w**2 in the form d + c*w + g*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 + l. Let y(b) = -37*b**3 + 4*b**2 + 8*b - 6. Let a(t) = 24*t**3 - 4*t**2 - 7*t + 4. Let w(f) = 3*a(f) + 2*y(f). Determine 5*o(s) + w(s).\nAnswer: -7*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55578 and 8007?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/594 and 73\/264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -3\/7, 39, -0.01?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 12*o + 9511 = -36545. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = a - 2*m, -4*a - 2 = 5*m - 6. Put -5, a, 5 in decreasing order.\nAnswer: a, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 67 = -11. Suppose 0*d - 4*d - 2*s + i = 0, -2*d - 5*s = -4. Sort 0.3, d, 0.4, -1 in decreasing order.\nAnswer: d, 0.4, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -206 (c) 1\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76016, -151390, -226774, -302174, -377596, -453046, -528530?\n\"Answer: -x**3 + x**2 - 75370*x - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 103, 117, 131?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0, -4, 0.1, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21573861.\nAnswer: 3, 31, 229, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgyayya. Give prob of picking 1 g and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*x + 2*x + 2, l - x = 7. What is the units digit of 6\/(-4) - (3213\/(-2))\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31859.5448135 + 31923.5448. Let f = -0.69 - 63.31. Let m = b + f. Round m to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 - 14*l**2 + 13*l - 4. Let z(n) = 11*n**3 - 29*n**2 + 25*n - 7. Let i(v) = 5*u(v) - 2*z(v). Let i(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a - a. Let y be 36 + a + -3 + 0. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4, 4*f - 15 = h + 91. Let o = f - 18. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 55550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 2*a + 3. Let f be t(0). Solve -2*i = -4*s - 4, -f*s - 2*i + 4 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*v - 13 = -2*f, -3*v - 6 = -3*f. What is the hundreds digit of 296\/(-148)*(f + 397\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 21. Let j be ((-14)\/(-6))\/(1\/f). Suppose -8 + j = -5*r, -4*r - 76 = -4*t. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 * 144.284\nAnswer: 3.6071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/14 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 316 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185.91 + 257.\nAnswer: 442.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - 77\/(-14). Solve 0 = 3*u + q - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4999002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 424*w - 870*w + 292*w + w + w + 0*w + 3*w - 4*w + 3*w - 2*w - w + 2*w + (-2*w + 1 - 1)*(2 - 2 + 2) - w - w + w - 3*w + 3*w - 4*w - w - w + 0*w.\nAnswer: -162*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5. Let b(v) = v + 4. Let n(k) = -4*b(k) - 3*o(k). Let z = 15 + -10. Let y(u) = 2*u + 1. Determine z*y(r) + 3*n(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 795029 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -594*f**3 + 7649*f**2\/2 - 1925*f. What is the derivative of t(v) wrt v?\nAnswer: -3564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2388 and 7163\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0*j - 12*j + (1 - 1 + j)*(-4 + 3 + 0) + 4*j - 4*j + 4*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.022 - -0.121.\nAnswer: 1.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87 and -4857.\nAnswer: -422559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37075643986 + -66?\nAnswer: 37075643920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 1. Let h be u(2). Let g be (h\/(-1))\/(3\/(-4)). Let c = -0.374 + -2.626. What is the nearest to g in c, 0.2, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58301 + -5?\nAnswer: 582b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-28)\/8 + 4). Suppose 4*z + 8 - 3 = 5*u, -2 = -2*u + 5*z. Put -32, o, u in descending order.\nAnswer: o, u, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 634*f. Let x(n) = 30*n - 55. Give d(x(p)).\nAnswer: -3600*p**2 - 5820*p + 22770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggrrgrrggggg. Give prob of sequence rrr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 24250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42431*z**2 + 2661*z - 2661*z.\nAnswer: 42431*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10437797065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 2:57 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -669*c + 889. Determine x(0).\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1566)\/1566*(-1)\/(-1*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 26*b - 125. What is d(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**4 + 1\/10*k**5 + 0 - 8*k**2 + 0*k**3 + 0*k. Let i(v) = -2*v**2 + 1 - 1. Give r(i(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b + -1c462?\nAnswer: -1c4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -49. Suppose -2*r = -3*y + 202, 5*y - 3*r + 0*r = 336. Let x = y - f. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {s: 1, e: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.015 + -2. Let v = -156.3 + 156.28409. Let j = f + v. Round j to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 12. Suppose u + w = 7. Suppose -u*d = 5*g - 28 - 12, 4*g - d - 17 = 0. Calculate the remainder when 13 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.5. Suppose -5*q = -3*q + 10. Which is the third smallest value? (a) 4 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2592095*c**2 + 2592127*c**2 - 5184217*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 312*f**2 - 1703*f - 1328*f - 518*f + 3200 + 366*f**2 + 769*f - 40*f**3 - 2*f**4 = 0.\nAnswer: -32, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482c0 (base 16) to base 7\nAnswer: 2340566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + 4 - -10\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -16 - 86. Suppose 18*a - 2533 = u*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/((-1)\/(-12)). Suppose -2 = 2*g - z. Let q(s) = s**2 + 0*s**2 + 0*s**g. Let l(t) = -t**2. What is q(l(x))?\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 560 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 241.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 2. What is d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 15\/8*a**4 + 270*a + 3\/40*a**5 - 1\/4*a**3 - 45\/4*a**2 + 0. Factor w(p).\nAnswer: 3*(p - 1)*(p + 1)*(p + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/28 - (1 - -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.4, 806.67, 3, 4, 2?\nAnswer: 806.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 9. Let w(p) = p**2 + 9*p + 3. Let f be w(-8). Let y be ((-3)\/12)\/(f\/(-10)). What is the second smallest value in -2\/5, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(78)\/sqrt(6)*-4)**2)*3.\nAnswer: -624 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(16\/(-20))\/(17\/((-340)\/8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163 + c + 73*c**2 + 2321 - 1158 - 230*c**2.\nAnswer: -157*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 4, 1\/4, -3317?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -11*w + 6*w. Suppose 0 = -2*r - t - 1, -r + 6 = -5*r + w*t. Let h be 80\/(-2720)*(-8)\/10. Is h greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) - (sqrt(6)\/(sqrt(2) + sqrt(2)*1) + sqrt(3))) + -5*(-1*sqrt(363) - sqrt(363)).\nAnswer: -1 + 219*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 86, 26, -2\/17, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 24\/(-45). Which is the third smallest value? (a) 1\/4 (b) -0.67 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.24*-4375.7\nAnswer: -9801.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*p + 18 + 14, 2*c = -p - 10. What is the third biggest value in p, 4, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a - 9. Let b be f(-3). Let s = 72 + b. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136455983 is divided by 27291191?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*j**2 + 5*j**3 - 59004 + 102468*j - 32853*j - 9441 = 0.\nAnswer: 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55480 and 12483.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/150 + 9*a**3\/25 - 121*a. Factor j(m).\nAnswer: 2*m*(m + 27)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oocc when four letters picked without replacement from coyoyccoooy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n - 3. What is a(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 5, -25\/17, -2\/13, 1.128 in descending order.\nAnswer: 5, 1.128, -2\/13, -25\/17, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20486 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -m + 4*y - 2, -3*y - 15 = 0. Let l = 801\/5 - 161. What is the biggest value in 0.5, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 7*v**2 + 5*v + 1. Let d be u(6). Calculate the common denominator of -2\/3 and d\/(-8)*(-282)\/(-30).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 22. Let w be q(7). Suppose w*y = 14*y - 28480. What is y rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(63) + -1)**2)*4.\nAnswer: -12*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283*d**3 + 253*d**2.\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 12 + 0)*(0 - 3 + 2)*(-2*r**5 + r**5 + 3*r**5 + (r + 0*r + 0*r)*(-r**4 + 3*r**4 - r**4)).\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (18\/24)\/((-366)\/244)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 6*v + 18*v**2 + 0*v.\nAnswer: 18*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-576)\/108 + (-532)\/(-114).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -40418?\nAnswer: 6\/20209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*1\/(-36)*45 + 12?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/385*330\/132.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 8 = 10 - 32 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 7*y**2 - 68*y - 14. What is the hundreds digit of c(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 472 + -478. Find the common denominator of 101\/28 and 1221\/672 - (240\/(-42) - z).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llzz when four letters picked without replacement from zzzzlzzzzzg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 990 = -5*b, 0 = -b + 3*b + 3*r + 407. Let x = b - -340. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4242009.4892 - 4847.\nAnswer: -4246856.4892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6055*l**2 - 10244*l**2 - 3912 + 18884*l**2 wrt l.\nAnswer: 5170*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + 150. Let h(f) = -21*f**2 - 720. Let c(y) = -5*h(y) - 24*j(y). Let u(t) = 0*t + t - 4*t. Determine c(u(n)).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122450507 is divided by 40816827?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.256 - 3.556. Which is greater: -3\/49 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232758.\nAnswer: 2, 3, 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*d - 12 = 52, d - 67 = -3*q. Let c be 44\/3 + (-14)\/q. Let r be (-7)\/c + (-1839998)\/4. What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.69 + 6.69. What is the closest to -1 in 1, 9, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101666, 101895, 102114, 102317, 102498, 102651?\n\"Answer: -v**3 + v**2 + 233*v + 101433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 63 = -2*m, -5*q + 112 = m + 2*m. Find the first derivative of -1 - 173*x + 173*x - m*x**3 - 11 wrt x.\nAnswer: -87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 91*o + 1321. What is the remainder when 557 is divided by h(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from alddaaadaduddd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 5cb1a1?\nAnswer: 5cb1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10 + 3*y + 8 + 8. Let c be (-21)\/1*(-2)\/(-6). Determine d(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 2 - 9 - 2.\nAnswer: -5*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*v + 399098 = 2357*v + 2579*v + 2411*v for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.112, 1, -2\/5, 0.3, 2\/3, -82.8, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - l = -5*l - 54, -2*l - 6 = 0. What is the least common multiple of 27 and b?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0038165 and -542.39.\nAnswer: -542.3938165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*sqrt(612))**2 - (sqrt(425)*2 + sqrt(425) + sqrt(17))).\nAnswer: -11016 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + (-6 - (7 - -2) - 0) + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000111 - -10?\nAnswer: 10100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = -4*q - 5, 5*w + 28 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let u(d) = -5*d. Let n(k) = -2*q(k) + u(k). Suppose 6 + 2 = 2*j. Let h(p) = j + 10*p - 4 - 12*p. What is n(h(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 136304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 30. Suppose -3*x = -m*x. Put -5, x, -1 in descending order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3*u + 3, -4*u = -3*i - u - 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 693 + 736 = 2*f + 1387, -4*b + 4*f = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*f + 14649 = -2736 - 8580 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -490.595008 rounded to one decimal place?\nAnswer: -490.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, 0.14, 0, -2\/9, -3, -183.3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31007?\nAnswer: 101, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvkkokbqkbbbbqqqab. Give prob of sequence oaqa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*v = -7 - 8, 20 = 4*v. Solve 6*h = 2*h + r + 12, 3*h + 5*r + 14 = j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:21 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27952, 27981, 28022, 28081, 28164, 28277, 28426?\nAnswer: 28617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1213 - 1213. Let d(v) = 3*v - 10. Let q be d(4). Let r = -67\/84 + 1\/21. What is the closest to p in r, q, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 2 + 0*r**2 - 2*r**2 - 17*r.\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42778, 173516, 391412, 696466, 1088678, 1568048?\nAnswer: 2134576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 348775194 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/4)\/(g\/(g*g**(-2\/9))))**(-48)\/((g**(-5)\/g)\/g*g**(-4))**(-14) assuming g is positive.\nAnswer: g**(-538\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33352 + 55255?\nAnswer: 21503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 2. Let x be b(-1). Let t be 1\/((-1)\/(7 - x)). Let n(i) = 5*i**2 - 7*i + 1. Is n(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 7 = o, 0 = 2*o + 42*w - 38*w - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 - q**3 - 112*q**2 - 52*q**2 + 173*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/11, 1\/6, 1, 2\/7, 2794?\nAnswer: 2794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/175 - (-16 - 156\/(-10)). Solve 4\/7 - h*d - 2\/7*d**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/712140 and -89\/388440.\nAnswer: 4272840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2439*x - 1. Let j(k) = -6*k. Determine j(t(n)).\nAnswer: 14634*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 9*t**2 + 6*t + 9. Give b(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/167072 and -99\/94432.\nAnswer: 2171936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 - 17 - 135 - 27 + 34*o**2 + 53 to the form t*o + l + u*o**2 and give l.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -1, 247.77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317\/39 + 8. Let y = a - -6\/13. Factor 0 + 1\/6*u**4 + y*u**3 + 1\/6*u**2 + 0*u.\nAnswer: u**2*(u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t**2 - 30*t**3 - 300*t**2 - 32 - 212*t - 92*t + 28*t = 0.\nAnswer: -8, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 1435754?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 42 = -3*c. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4167 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*u - 8 = 0, -s + 2*s + 4*u + 16 = 0. Let j(a) = s*a + 13 + a + 5. What is the units digit of j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -0.2. Let k = 29.7 - 33.7. What is the nearest to -0.1 in k, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552575 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689576, 1380553, 2071530?\nAnswer: 2762507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -5874.2463.\nAnswer: -293.712315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 8*a**2 - a + 10. What is the remainder when 510 is divided by r(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 32*x - 85. What is u(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 122 and 318.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10\/3 (b) -2.5 (c) -0.03 (d) 48 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -940 + 941. Let y be w\/(-2) + 18\/36. Suppose -l = -5*l - 16. Put y, 5, l, 4 in descending order.\nAnswer: 5, 4, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144410 (base 7) in base 2?\nAnswer: -100011100011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174 - 174 - 62*z + z - 4*z + z + (-2*z + 4*z - 4*z)*(-2 + 0 + 0).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 396 - 489 = 0. Suppose 4*r + 37 = a. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 + 14*c**2 + 5*c - 6. Let s(p) = 4*p**3 + 14*p**2 + 4*p - 5. Give -5*l(r) + 6*s(r).\nAnswer: -r**3 + 14*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = k - 52 + 15, 4*x - 3*k + 56 = 0. Let o = 23 + x. What is the lowest common multiple of o and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(1\/3)*o*o**(-7)\/o*(o\/o**(7\/5))\/(o**(-5\/3)\/o) assuming o is positive.\nAnswer: o**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -30*j + 38. Are 273 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (196 - 14*y - 196)*(16 - 5*y - 16)*(-3 - 1 + 2) - 3*y**2 + 4*y**2 + 4*y**2 as n*y + m + j*y**2 and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*n + (-2 + 2 - n)*(1 - 3 - 2) + 8*n - 6*n + 3 - 3*n.\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/2 + 5*n**2 - 12*n = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-35) + (-4)\/(-10). Let r = 0.8 - -3.2. Let x = -7 + r. Which is the third biggest value? (a) u (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -163, -238?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941135 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: Simplify ((u**(1\/11)*u*u**(-1\/7))\/(u*u*u**6*u*(u**2\/u)\/u))**(2\/19) assuming u is positive.\nAnswer: u**(-1240\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8*(-3)\/324)\/(2\/6). Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.9 (b) -3 (c) 31 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10950705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44637969 to the power of 1\/2, to the nearest integer?\nAnswer: 6681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 less than -18685?\nAnswer: -18624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let b = 6 - p. What is z in -b*z**2 + z - 2*z**3 + z**4 + 2*z**2 + z**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49339, -98669, -147999?\n\"Answer: -49330*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*a = -152*a - 10. Let w(j) be the third derivative of 0 + 0*j - 1\/3*j**3 + 6*j**a - 1\/270*j**5 - 1\/18*j**4. Factor w(h).\nAnswer: -2*(h + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 9435464*a**2 - 28306412*a + 60 = 0.\nAnswer: 5\/2358866, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -90*g - 2. Determine u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + 5*b**5 - 3*b**5 + (b + b**5 - b)*(-4 + 5 - 2) - 2*b**3 + 2*b**3 - 4*b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*k + 2*k + 2*k)*(-k + 6*k - 4*k) + 0*k**2 - k**2 + 4*k**2)*(3*k + 21*k - 3*k)*(k + 7*k - k).\nAnswer: 294*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2159863.5*1.8\nAnswer: 3887754.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 198 = 3*g. Suppose 0 = 26*b - g*b - 1316. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 37474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/21 - (-21)\/49. Let l(s) = -14 + 2*s**2 + 10 + 3*s + s**2. Let v be l(-3). Solve 3*q + c = 3*u - 6, v = -3*q - 5*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b**(-3)*(b*((b*b*(b*b**1)\/b*b)\/b*b)\/b*b)**(-17))\/((b**4*b)\/(b**(-7)\/b)*(b**(-2\/5))**(3\/10)) assuming b is positive.\nAnswer: b**(-2532\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 - 75*v - 536. Let l be f(-8). Solve l = -299*z + 315*z - 96 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvv. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(5\/6)*o)**(-5))**(1\/55) assuming o is positive.\nAnswer: o**(-17\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24*-2)\/(1047\/(-106794))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/(-30))\/14*6\/8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454030257 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -37857 (base 10) to base 11\nAnswer: -26496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -32*d**2 + 4*d + 4. Let b(u) = -u - 1. Let g(s) = 4*b(s) + q(s). Let r(z) = 2*z**2. What is r(g(c))?\nAnswer: 2048*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (6 - 4) + 2. Find the third derivative of 18*w**2 + 0*w - 9*w**3 - w**2 + 0*w + 2*w**h wrt w.\nAnswer: 48*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3562349\/3 or 1187451?\nAnswer: 3562349\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 8. Let v be t(-3). Let u = 6 + v. Solve 2*j - u = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0824 + -1.9176. What is the second smallest value in -3, -0.2, s, -0.078, 2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 632 - -184. Let n = k - 816.0000054. Round n to 7 dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -151*m**7\/42 + 43*m**4\/12 + m + 135. What is the third derivative of n(t) wrt t?\nAnswer: -9060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 27. Let z(d) be the second derivative of d**4\/4 - d**3\/3 + d**2\/2 + d. Let t be z(1). Sort t, 3\/7, v in descending order.\nAnswer: t, v, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 2*z - 5. Let w = 80 - 76. Suppose -11 = -4*c - 5*h, -2*c - w*h + 2 = -2. Give d(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**3 - 855*y**2 + 13453*y wrt y.\nAnswer: -48*y - 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 2*j - 15)*(-j**2 + 0 + 0 + (-5*j + 4*j + 2*j)*(0*j - 2*j + 4*j) - 147*j + 10*j**2 + 147*j) to i*j + v*j**2 + l*j**3 + p and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3915549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - 0.07. Let f = y + -0.0200016. Round f to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2278 divide 99157829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*f + 43 = -0*p, -3*p + 23 = 2*f. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 72230122514964 and 5.\nAnswer: 72230122514969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16939332 minus 25.5?\nAnswer: 16939306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.7577 + -0.1923. Let q = c + 42. Let d = -0.05 + q. What is the nearest to -1 in d, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**5\/f*f**(-9))\/(f\/(f\/(f**(-16)\/f))*f)**(5\/13) assuming f is positive.\nAnswer: f**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 424011\/282670 + -3\/141335. Factor -3\/2*f**2 - 1\/4*f + x + 1\/4*f**3.\nAnswer: (f - 6)*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102212020 (base 3) in base 15?\nAnswer: -e35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 54576\/(-810). What is the third smallest value in z, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 + 5*n**2 - n**2 + (-n + 0 + 0)*(-2*n - n + 5*n))*(0 - 1 - 1) to the form a + r*n + b*n**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 423024?\nAnswer: 423121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*a**3*o**2 + a**3*o*x - 993*a**2*o*x**2 + 2*a**2*x**2 + 526794*o**2*x**2 - 1550*o*x wrt o?\nAnswer: -42*a**3 + 1053588*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 16, -5*v = -2*k - 3*v - 8. Suppose k = 4*z, z + 4 + 4 = 2*u. What is the common denominator of -1 - 3 - 13\/u and 35\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 9 + 24 - 33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgb when three letters picked without replacement from {t: 1, h: 3, g: 5, b: 4}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*f = 3*f. Let h(p) be the third derivative of 0 - 1\/24*p**4 + 2*p**2 + f*p - 1\/6*p**3. What is the first derivative of h(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*y**2 + 181*y**2 - 2*y + 171*y**2.\nAnswer: -5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**2*g**3*k**3 - 260417*a**2*g*k**3 + 129*a*g**3*k + 735*g**3 + 2*g*k**3 wrt a.\nAnswer: -14*g**3*k**3 - 520834*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 373371108 divided by 6\nAnswer: 62228518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-3 - -4) + 4 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11180 + -0.02887.\nAnswer: -11180.02887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3760 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 45 = -j + 4*c, -2*j + 2*c - 60 = 0. Let q = j + 39. Suppose -p = q*p - 460. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 + 142.21. Let p = 0.51 + k. What is p rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a millennium?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 26.7 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 8344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74390074 and 1089.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11200)\/9408 + (-16)\/(-14)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(333\/18)*2\/((-100)\/(-95))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*(sqrt(60) + (sqrt(60) - sqrt(60)*2) - sqrt(60)))\/sqrt(5))\/(sqrt(66)\/(2*sqrt(11)) + 5*(sqrt(6) + 2*sqrt(6))).\nAnswer: -12*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 1) + (7 + 17 + -14 - 8)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5076 + -4191. Solve -y*p + 20 = -889*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2*k**3\/9 - 4*k**2\/3 - 8*k\/3 + 3. Factor y(o).\nAnswer: -2*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 + 4403628*l - 114492300 = 0.\nAnswer: 26, 1467850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)*14 - 4. Suppose -15 = -2*d + 3*h, -4*d - 2*h = d - 9. Solve 5*r - d*g = -j, -11 - 14 = 5*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10 - 2*s**2 - 10. Let v(l) be the second derivative of -l**4\/12 - 5*l - 11. Give v(r(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.95 times -0.6\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16773927131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/1080 + c**4\/72 - c**3\/3 - 3*c**2. Let w(f) be the first derivative of u(f). Factor w(l).\nAnswer: -(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.0763 and 52433.\nAnswer: 52437.0763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + 5*2*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65) + 4*(-2*sqrt(65) + sqrt(65)))\/(4*sqrt(80)*5 - sqrt(80)).\nAnswer: 2*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.18, -10, 0.1 in decreasing order.\nAnswer: 0.1, -4.18, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.32 and -1.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*w = -9*w - 50, -4*w - 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/75 (b) -3.228 (c) -1\/5 (d) -1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -9. Let t = 13 + l. Suppose -f + 7 + t = 0. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 168\/20 - (-6)\/10. Suppose 2*p - 3 + w = 0. Let z be 34\/8 - (-2)\/(-8). Let f(j) = 7*j**2. Let d(k) = 6*k**2. Determine p*f(x) + z*d(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 367872445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.03432 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-66)\/(-2) + 0. Suppose 4*r - 9 = -a. Let v(q) be the third derivative of -q**4\/8 - 4*q**3\/3 + 16*q**2 - 3*q. What is v(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 137041*v\/3 - 1187914.\nAnswer: (v - 137067)*(v + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -678*t + 1360. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - a + 12 = -0*a, -h + 4 = a. Suppose h*j + 3 = u - 2, 4*u = 2*j + 2. Let t = 17 - j. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 707*x + 46212. Calculate h(267).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**2 + 667*a - 265. Calculate j(83).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 4*u - 16. What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833255?\nAnswer: 3, 5, 40739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52517*x**2 - 106225*x**2 + 53805*x**2.\nAnswer: 97*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(248\/8174080*-160).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdkdxxxk. What is prob of picking 1 x and 1 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 44889?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -390*d. Let f(i) = -40*i**2 - 4*i. Determine f(v(t)).\nAnswer: -6084000*t**2 + 1560*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7272836853 - -28?\nAnswer: 7272836881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**5\/3 - 5051372*p**4\/3 - 36802334*p**3\/3 - 80820488*p**2\/3 - 60615272*p\/3 - 11545760\/3 = 0 for p.\nAnswer: -360805, -4, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16\/(-64) + 65\/4 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215669\/117 + 1\/(3\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -59. Let h = 1091798 - 473840705\/434. Let w = h + 1\/434. Do j and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73448?\nAnswer: 2, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13087, -13105, -13141, -13201, -13291?\n\"Answer: -c**3 - 3*c**2 - 2*c - 13081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - m - 40. Determine w(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.55 and -57.\nAnswer: -430.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 - 44*8)*(-585)\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 12*z**2 - 9*z + 34. Calculate h(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r + 148. Let p be a(0). What is the highest common divisor of 37 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 72962109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**7\/2520 + p**5\/20 + 3*p**2. Let t(c) be the third derivative of v(c). Let z(o) = -8*o**2. Determine z(t(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(343) + 1 - (sqrt(343) + 2 + sqrt(343) + -4) - 4*((sqrt(343) + 0 + 3)**2 + sqrt(343) + -5).\nAnswer: -1381 - 203*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16448464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226\/19 + -12. Let f(o) = 4*o + 13. Let z(p) = -p - 1. Let d(j) = -f(j) - 5*z(j). Let l be d(9). Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 280, 558, 834, 1108?\n\"Answer: -c**2 + 281*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8080 - 8080.4. What is the second smallest value in 2, -5, k, -4\/5, 23?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -251 from -0.1.\nAnswer: 250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2971 and 0.4317061428.\nAnswer: 2971.4317061428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obvbbbo. Give prob of picking 1 o and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**3 + 112*m**2 + 52*m - 40.\nAnswer: 4*(m + 1)*(m + 5)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.6963t in milligrams?\nAnswer: 387696300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1000001001010101001001 (base 2) to base 8\nAnswer: -10112511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-1)*(-44)\/11. Let b = 57 - z. Solve k - 12 = 4*j, -b*k + 5*j = 2*j - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -29997536?\nAnswer: -29997538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44593 + -44592. Which is greater: -10\/2051 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 5. Let d be q(-6). Let h be (-48)\/9 - d\/(-3). Let x be 1\/h + (-93)\/(-15). Solve -t - 7 = -4*j - x*t, -2*j - t = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 10*c**2 + c + 9. Let q be a(-10). Let u(w) = w**2 - 1. Let g be u(q). Suppose 4*r - 140 + 8 = g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110.9985 + -111. What is f rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**5 + 22*k**5 + 15*k**5)*(-8 + 9 + 10 - 5 + 2 + 5 + 0 + 0 - 2 + (2 + 2 - 5)*(-1 - 3 + 3) + 1 + 0 + 0) + (k**3 - k**3 + 2*k**4)*(-k + 0*k + 0*k).\nAnswer: 349*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*d - 1309*d = -9530 + 3160 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 155310.\nAnswer: 155310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**6\/70 + 9*n**5\/140 + n**4\/28 + 11*n**2 - 15. Let c(k) be the second derivative of y(k). What is a in c(a) = 0?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 447330700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/37, 0.59, -28, -5 in increasing order.\nAnswer: -28, -5, 2\/37, 0.59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 238\/(-49) + 1\/(-7) + 806. Let b = 881 - y. What is the remainder when 557 is divided by b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5 = d, 35*j + 3*d + 1 = 39*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -296, -291, -298, -323, -372?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/2)*o))**(-8\/7)\/(o**2\/o*(o\/o**(-4))\/o) assuming o is positive.\nAnswer: o**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (105\/50 - 2)\/(30\/(-50) - 0). Which is the closest to 0? (a) s (b) 2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18611987?\nAnswer: 18611987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -72. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3. Let j be g(4). Let r(u) = u**3 + 13*u**2 - 2*u - 12. Calculate the lowest common multiple of r(j) and (-30)\/(-9)*(-48)\/(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**2. Let y(l) = 16*l + 532. What is y(x(r))?\nAnswer: -128*r**2 + 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrsqqqqqsqssq. Give prob of picking 1 r, 1 q, and 1 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from kmkqqqqkqmfaq?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 7\/8, 5, -3\/2?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*15\/(-18)*(-21)\/(-105).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, 41, 76, 121?\n\"Answer: 5*w**2 + 10*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 - 363 - (-50 + 6).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - 0) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-27)\/12)\/(-3). What is the third biggest value in r, -4, 10\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 45 - 76 - 155 - 58)*(-p + 8*p + 4*p).\nAnswer: -4664*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 419. Let d(c) = 37*c + 156. Give h(d(b)).\nAnswer: -37*b + 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c. Let u(f) = 7*f - 201 + 201. Let w = -12 - -17. Let a(m) = w*u(m) + 6*o(m). Let s(b) = -11*b. What is a(s(t))?\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/7, -3, 0, -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28)*-12)\/(2\/(-1)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 divided by 1?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2204*p**2 - 10 - 1033*p**2 - 1108*p**2 + 10.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101195 or -101194?\nAnswer: -101194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10950538541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 + 3*y - 4. Suppose 2*f + 5*i - 12 = 0, 0*f + 4*i = f + 20. What is s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -12 (b) 0.5 (c) -0.91 (d) 0.4 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48823\/79 - 618. Let g = r - -303\/1027. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 309001*j + 0*j**2 + 2 + j**2 - 308996*j. What is z(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m. Let i(s) = -4*s. Let c = -202 - -207. Give c*g(r) + 3*i(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 divided by 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -212\/3 (b) 3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -95*v**2 + 11*v. Let l(b) = 94*b**2 - 14*b. Give -5*g(o) - 4*l(o).\nAnswer: 99*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10367 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27294, -27148, -26904, -26562?\nAnswer: -26122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69.7 - 15.3. Let u = f - -86.2. Is 2 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 12. Let w(h) = 6*h - 12. Let t(l) = 5*v(l) - 4*w(l). Let q be t(13). Put -3, -6, q in ascending order.\nAnswer: -6, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35149600 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 - 103 - 30*g + 207 to the form c + w*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4106053*q**6 - q**5 - 24*q**2 + 223661*q.\nAnswer: 492726360*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-4))\/(2\/(-8)). Suppose 10*m + 126 = 136. Let r = -6 - -4. Sort r, m, c.\nAnswer: r, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178.6 + -179. Suppose 0*a + 3*a = g + 15, -35 = 5*g - 5*a. What is the smallest value in g, m, 0.2, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086362823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 23*i - 15*i to s*i + a and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/248 - ((-1750)\/(-217) + -8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*b + 21*b - 150 = -37*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 122. Let l = h + -1. What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*u**3 - 960*u.\nAnswer: 774*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (-40 + 23 + -6) - 48.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -300497327.6 to the nearest 100000.\nAnswer: -300500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 4*w - 5*x - 1, 4*w + 4*x + 8 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 - 19006402*l - 90310829246401 = 0.\nAnswer: -9503201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93432, 94284, 95118, 95928, 96708, 97452, 98154?\n\"Answer: -p**3 - 3*p**2 + 868*p + 92568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21881 and 0.2?\nAnswer: -0.043762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -361 + 366. Suppose w*y - 5*q + 0*q = 8190, 4*q - 4 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 7 = -7*b. Sort b, -3, 3, 2 in descending order.\nAnswer: 3, 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645362847 a prime number?\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 {q: 7, y: 1, z: 7, j: 1, p: 2}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.84 * -5.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3752, -6032, -8312, -10592, -12872?\nAnswer: -15152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1690 and 33\/5.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47885 + -0.07885. Let k = 2 + -1. Suppose -4*v + 0*v = 4. What is the nearest to 1\/3 in h, k, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n + 179 = x, 0 = 2*n + 2*x + 102. Let j = n - -185\/4. Let h(l) = -l**3 - l**2 - 2*l - 1. Let b be h(-1). Is j greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571881747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -24.2 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*j + 17253 = 216*j + 2773. Solve 31 + 9 = -j*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njmmnnnnnmmmn. What is prob of picking 3 m?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3511, 6, -0.2 in ascending order.\nAnswer: -0.2, 0.3511, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/((-7)\/63). What is the third derivative of -3*y**2 + g - 12 + y**6 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100110 (base 2) to base 13\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45494\/21 + 2166. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i**2 + 55040*i + 55057*i + 36*i**2 - 110082*i.\nAnswer: -10*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c84b (base 13) in base 16?\nAnswer: 14ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 6\nAnswer: 215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6590597.\nAnswer: 13, 397, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 34*a**2 + 36*a - 38. Calculate w(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 - 159237*p\/4 + 39810.\nAnswer: -3*(p - 1)*(p + 53080)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*f + 3 - 199*f**2 + 355*f - 175*f in the form t*f**2 + s*f + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + -14. Let m = b + 105. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 2*c**3 - 16 - 3*c**4 + 2*c**4 - 3*c**2 + 16 to f*c**3 + m*c**4 + r*c**2 + i*c + o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + 6 - 4 - 3 + (-3 - 3 + 4)*(0 + 2 - 1) + 0 - 1 - 4 - 1 + 6 - 4)*((-3 - 2 + 3)*(-3*x + 5*x - x) + 2*x - 6*x + 3*x + x + x - 4*x).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 - -11 - (84 + -120 + 31).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 74 - 1416*g + 34.\nAnswer: -1416*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8823.446 centuries?\nAnswer: 882344.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -3 (c) -4\/17 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.025 at least as big as -2\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 266 = 86*r. Solve -2*a = -2*n + 18, 0*n = 2*a + 3*n - r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - 0.3. Let w = -585.9 + 613. Let q = -27 + w. What is the closest to -1 in l, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 324 = 4*b, 2*h - 160 = -3*b + 78. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*n - 701*n**2 + 3*n**3 + 226*n - 118*n**4 - 115*n - 529*n**2 - 839*n**2 wrt n?\nAnswer: -2832*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 32 - (1 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**4\/5 + 33*z**3 + 3*z**2\/5 - 33*z = 0.\nAnswer: -1, 0, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1352612 divided by 676306.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-20)*(-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.257876 rounded to three decimal places?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 1 + 2 - 4. Suppose -20 = -55*t + 50*t. Let j(r) = -1 - 14*r + 9*r + 2 - t. Calculate -4*j(g) + 9*k(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -934, -945, -962, -985, -1014?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-35)*(-25)\/350.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*c - 4*p, 5*p + 1072 = 3*c + 1003. Suppose -8*r + 10 = -3*r - 2*j, -5*r = -5*j - 25. Solve r = -c*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1189 * 1.\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001604206357 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from crhrw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 1. Let m(i) = 3*i**2 + 2*i - 1. Let y(f) = f**2 - 16*f - 2. Let o be y(16). Let d be m(o). Let n(a) = 9*a + 1. Calculate d*z(c) + 5*n(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 159667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -83, 0.1, -51, -5\/6?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 1. Let g be j(4). Let n be 0*2\/(-4) - -2. Suppose -n*p + g = -3. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 7*k + 1. Let s be i(7). Is s less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.48 times 752\nAnswer: -360.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 19*m + 94. Suppose -133 = -9*u + 83. What is the tens digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (27 + -3)) + (-1 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/15 and -91\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (42 - (0 - 0 - 2)) + -1 + 1322 + -1331\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -31*p**2 + 1739*p - 19956. What is d(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3*a - 3. Let x be s(4). Let z(l) = 55*l + 1. Calculate the remainder when z(x) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:58 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2. Let l(j) be the third derivative of -j**5\/60 + 5*j**2. What is f(l(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*-2*sqrt(475) + (6*sqrt(475)*-3 - sqrt(475) - sqrt(475)))*-3*-5)**2 + -1.\nAnswer: 1155959999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-546460)\/(-3916) + (-12)\/22 is divided by (186\/4)\/((-6)\/(-8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49.690007623 - 49.69. Round z to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 4*v + 2. Let p be x(4). Let j(c) = 2 - 7*c + c**3 + 2 + 0*c**2 + 5*c - p*c**2. Determine j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 8*a + 126. Let g(t) = t**3 - 20*t**2. Give g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01057748979489 - -4\nAnswer: 4.01057748979489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3941*r**6 + 8866*r**2?\nAnswer: 472920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*18\/4592*12\/9?\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -129*k**2 + 66*k**2 - 21 + 64*k**2 + 3*k. Calculate the remainder when 17 is divided by i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 68987.97 nanometers?\nAnswer: 68.98797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9265 - -9270. Suppose f = -2 - 2. Let m = 5 - 1. What is the closest to 1 in f, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/135 + 5)\/((-4)\/18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (574\/90 - 4232\/2645)\/((-16)\/(-36))\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234984 and 205611?\nAnswer: 1644888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 1367, 3424, 6329, 10082, 14683?\nAnswer: 20132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/16*16 - 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 + -2 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27511 + 38821. Is k a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*g - 17 = -3*g, -4*g + 20 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*u - 2*n + 4, -n = -5. Suppose 2*x = -4*b + 104, x - 3*x + 3*b + 132 = u. 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: b\"What is the ith term of -83, 14, 243, 670, 1361?\n\"Answer: 11*i**3 + 20*i - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*s - 8, 37*v - 8 = -s - 3*s + 38*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3 - 3*g**2\/2 + 14*g. Determine d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 4*s**2 - s - 2. Let n(o) = o**3 + 4*o**2. Let l be n(-3). Suppose -13 - l = 11*c. Calculate m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - c**2 - 5*c + 8. Let r(l) = -l - 13. Let v be r(-16). What is f(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*m**3*w - 39*m**3 + 8488*m*w + 295204902*w wrt m.\nAnswer: -48*m**2*w - 117*m**2 + 8488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -5894.7\nAnswer: -2947.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58018813 to the nearest integer?\nAnswer: 7617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-150)\/(-12)) + (-27)\/(-5). Solve 10 = -4*w + 2*z, 3*z + z = -g*w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 7:22 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4541 and 86040?\nAnswer: 1634760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1038 = -12. Suppose -5*j + v + 140 = 0. Suppose 33 + 17 = 5*h. What is the highest common factor of h and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(153))*2)**2 - (sqrt(153)*2 + 1 + 2 + (0 + sqrt(153))**2).\nAnswer: -78*sqrt(17) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32727, -4, -3, -0.2.\nAnswer: -32727, -5, -4, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 41. Let u(o) = 7*o**2 + 1076. Determine u(y(s)).\nAnswer: 28*s**2 - 1148*s + 12843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1268.2 - -1268. Sort 0, r, -3\/2, 4 in decreasing order.\nAnswer: 4, 0, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -11789*o + 11785*o + 2*t, 2*o - 52 = -2*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.19 times 58?\nAnswer: -10683.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340 - 336. Let z(r) be the second derivative of 5*r + 0*r**3 + 1\/2*r**u + 0*r**2 - 1\/4*r**5 + 0. Find the third derivative of z(y) wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 302 + -194. Let u = 114 - k. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 17. Let h be s(9). Let q = -6 + h. Find the common denominator of (-1 - 1) + q\/(-5) and -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -799870172\/5 or -159974034?\nAnswer: -159974034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5497816\/117 smaller than -46991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**2 + 16*o - 224. Is 19 a factor of l(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647866271 a multiple of 4134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**4\/2 + 6*m**3 - 2*m**2 - 24. Solve o(a) = 0 for a.\nAnswer: -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 60. What is the tens digit of (5 - 78\/y) + 127\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6905 - -7043. Is o < -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 3832615?\nAnswer: -3832621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/((-28)\/3))\/((-70)\/245). What is the closest to -16 in -0.18, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 24*v - 140. What is x(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*j**2 + 382*i**2 + 9787*i*j**3 + 2*i - 112 wrt j?\nAnswer: 4*i**2*j + 29361*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-4 + -4) - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(1053))*-1)**2*4.\nAnswer: -216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 42\/(-13 + 20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6215 + 1.4215. Sort f, 0.5, -0.9 in decreasing order.\nAnswer: f, 0.5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*c - 13451 + 2575 = 3172 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1065 or 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*v - 1 = 0, 12*g - 13*g - v = -4. Suppose -4*o = -5*n - 68, -4*o - 5*n - 6 = -34. Suppose 0 = o*j - g*j - 115. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/176 + (-31)\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j + 88 - 42*j + 94*j - 4*j**2.\nAnswer: -4*(j - 11)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2432120 - -2432119.947998176. Let n = -0.052 - p. What is n rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*n + 162 - 34 + 721 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2352 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40429832 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*i**2 - 63*i**2 - 31*i - 20*i**2 + 2*i**3.\nAnswer: 2*i**3 - 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 13 + 17 + -28?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 5*x**2\/2 - 26. Let v(w) = 6*w - 1. What is v(t(b))?\nAnswer: 30*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - i**2 + 1405*i - 1405*i.\nAnswer: -i**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddf when three letters picked without replacement from {d: 17, f: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/93 and -2\/1909?\nAnswer: 177537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -296173 or -296174?\nAnswer: -296173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 22 = 0, -10062*f + 10063*f - z - 48 = -5*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 98217\/(-6))\/((-9)\/(-54)*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 2*v + 2 - 1 + 2*v. Let h be j(-5). What is the nearest to 0.1 in 3, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and 452189643292.\nAnswer: 452189643308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*o + 6*o, -5*f = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 8:05 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 125, 146, 175, 212, 257?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213\/(149100\/(-560))*(-30)\/51.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -324 + 249. Suppose -28 = -5*z + f, 0*f - 29 = -4*z + 3*f. Calculate the highest common factor of u and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, r: 5}. What is prob of picking 2 r and 1 s?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-22)\/p*p**37\/p assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l - 42. Let a be y(8). Solve -2*w - 16 = -a*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48135611933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000104 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 8}. What is prob of sequence riii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(0 - -2) + 3. Let n be (1\/2)\/(t\/32). Suppose 2*r - 5*r - 3*i + 3 = 0, -i = -n*r + 24. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 - 11*n**2\/2 - 91*n + 30. What is the tens digit of h(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232444348 divided by 20092.\nAnswer: 11569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379677?\nAnswer: 13, 106129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 8 = 0. Suppose 0 = -2*q + i. Solve 0 = -g - 0*g - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347 (base 8) to base 16.\nAnswer: e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 + b - 74872. Let f be p(0). Let c be 17408\/6*(f\/(-16) + 8). What is c rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/10)*(((x**4\/x*x*x)\/x)\/x)\/x)\/((x*x**(-1\/3)\/x)\/(x**(-1\/8)*x*x))*(x*x**(2\/5)\/x*x*x*x**5)**(2\/43) assuming x is positive.\nAnswer: x**(4595\/1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 12. Let n = -323 - -329. Let f(x) = -2*x + 2. Let z(d) = n*f(d) - 3*h(d). Differentiate z(o) with respect to o.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 266*v**2 - 783*v + 11. Determine x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -126*m - 6. Let o be j(4). Let h = 891 + o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = 4*a + 52*a + 69 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 3*v**4\/4 + 8*v. Let p(s) = -2*s**2. What is p(f(z))?\nAnswer: -162*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113191444, 113191443, 113191442, 113191441, 113191440, 113191439?\n\"Answer: -z + 113191445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35822, 71640, 107460, 143282, 179106?\nAnswer: 214932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18099.47 and 2.\nAnswer: 36198.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 15521\/41 and 379 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/20 - l**4\/6 - l**3\/2 + 2*l**2 + 18*l. Determine x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -805455486*k*w**2 - 220*k*w - k - 44*w - 253 wrt w?\nAnswer: -1610910972*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 153004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/8 + 1)\/(((-7056)\/(-32))\/(-21)). Which is the closest to 1? (a) -4 (b) -1\/5 (c) -2\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9672636 and 32242120.\nAnswer: 96726360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-7))\/((6\/13)\/((-130200)\/(-6045))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-15)*27\/162?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*l - 12 - 40, 4*o = 2*l + 42. Let c(p) = -p**2 + 11*p - 10. Let y be c(o). Solve -q + 2 - 5 = y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.323042269 to three dps.\nAnswer: 0.323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = 2*k - 6*k, 0 = -2*f + 3*k - 20. Let s be f\/(-6) - (-1508)\/(-12). Let d = 178 + s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Let b = s + -4. Which is smaller: b or 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h**2 + h - 1. Let m be v(3). Let k = m + 3. Suppose 212 = 5*p - 418. Calculate the highest common divisor of k and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**2 - 22*z - 25. Let u be y(-6). Let j = 442\/3 + u. Let i be 1\/(-3) + 28\/(-6). Sort 5, j, i in increasing order.\nAnswer: i, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - d8e0?\nAnswer: -d8e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.6 + -9.5. Let x = 3 + p. Let u = -0.2 - x. What is the third smallest value in -0.2, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000052454123 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 23*n**2 + 974*n - 107. Calculate k(-44).\nAnswer: 1565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34\/10 - (-6)\/(-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 - 81. Let u = -75 + y. Let v = u + -23. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*m**2*y**4 + m**2*y**3 + 2*m**2 - 2*m*y**4 + 11*m*y - 2*y**2 wrt y.\nAnswer: -264*m**2*y + 6*m**2 - 48*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1847984060 rounded to the nearest 1000000?\nAnswer: -1848000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329358734?\nAnswer: 2, 67, 2457901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 17*n - 14. Let r be t(-16). Suppose -3*b + r*d = -6*b + 12503, 3*d = -6. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/364968 and -61\/70?\nAnswer: 12773880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(125) + -1)**2 + 5).\nAnswer: -393 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + -0.42. Let o = 14 - f. What is o rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 6*f**3 + 3*f**3)*(6 - 3 - 2) - 21*f**3 + 41*f**3 - 33*f**3 - 301*f - 3*f**2 + 301*f + 75*f**3.\nAnswer: 61*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 2*v + 31196. What are the prime factors of v?\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)*l\/(l*l\/((l*l**(-9)\/l)\/l))*l*l)\/(l*l**(-3\/10)*l*(l**(-11)*l*l)\/l*l*l*l) assuming l is positive.\nAnswer: l**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 374 + 431. List the prime factors of m.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*i = 122*i - 11. Let w(y) = -7*y**3 - y**2 + y. Calculate w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.031 - 98.969. Let b = -868.06 + 968. Let m = b + t. Round m to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-2)\/(-6)*((-270)\/(-700))\/((-26)\/26)?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1\/4, 585\/4, 1, 4, -7\/6 in descending order.\nAnswer: 585\/4, 4, 1, 2\/3, -1\/4, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(2695) - sqrt(2695) - sqrt(2695)*2*-6)\/((sqrt(405) + -2*sqrt(405)*4 + sqrt(405))*-5).\nAnswer: 91*sqrt(11)\/270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/120 - j**5\/12 + 7*j**4\/12 - 5*j**3\/6 - 45606*j**2. Let y = 10 + -17. Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037257 to 5 decimal places.\nAnswer: 0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -231, 5, -5, 4 in ascending order.\nAnswer: -231, -5, 3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -344 + 704 - v - 351. Let f = -1 + 1. What is s(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 43, 3, -2 in increasing order.\nAnswer: -2, 3, 43, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -15. Let b = s - -8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006353731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*i + 12, 34*i - 32*i = 2*m - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.753 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 984, 2102, 3664, 5670, 8120, 11014?\nAnswer: 14352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 729*u**3 - 48 - 40 + 728*u**3 + 189 - 47.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urnurukbkkbk. What is prob of picking 1 n and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9.5, -0.1, -7.27, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*k = 72, 2*r - 68 = -2*r + 4*k. Suppose 23 = 5*b + 4*y, 5*y = b - 2*b + r. Find q, given that 1\/3*q + 1\/3*q**b + 0 - 2\/3*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-216)\/960*-10.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 7\/3*j**3 + 0*j**2 + 0 + 6*j. What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(7106\/66))\/(-2*9\/6).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 - 22919015*m**2 - 45838015*m - 22919005 = 0. Calculate m.\nAnswer: -4583801, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 724 + -3622\/5. Let k be -1*(0 - (0 + 1)). Let l = 0.6 + -0.2. What is the second smallest value in l, k, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v - 19. Let m = -20 - -26. Calculate the remainder when 136 is divided by i(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5787964 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3021619 is divided by 1910?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872466110 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/2)\/o))**(16\/7)*(o**(2\/43)\/o*o)\/(o**(-4)\/o*o*o) assuming o is positive.\nAnswer: o**(2637\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2497692 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13884996857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 4*b + 2*b)*(-5 + 4 - 2) + 847*b - 425*b - 2304 - 424*b to f + m*b and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 - 2*v. Let h be a(4). Let j(y) = -y**2 + y + 12. Let c be j(0). Let m = c - h. Solve -5*x + r + r = -8, 5*x + 16 = -m*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 38700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 4*d, -30 = -3*j - 4*d. Let r(a) = -a + 8. Let i be r(j). Let b(n) be the first derivative of 5*n**2\/2 - 3*n - 41. Calculate b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)\/u**3*u**(-4\/5)*u\/(u\/(u*u\/u**7)))\/((u*u**1\/u)**(-2\/3))**13 assuming u is positive.\nAnswer: u**(-29\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 s, and 1 r when four letters picked without replacement from sbbrrob.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*r. Let h be (9\/(-12))\/(6\/(-16)). Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(425)*-1*6 + sqrt(68)\/(3*sqrt(8)\/sqrt(2)))*5*-3)**2.\nAnswer: 13465700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 + 57 - g**2 + 57 + g to the form n + q*g**2 + b*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.214 - -1.09. Let r = 0.064 + n. Let f = -15 - -17. Which is the closest to 0? (a) -0.1 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 69.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 162*x**2 + 14*x - 311. Let q be i(-13). What is the greatest common factor of q and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 + 35*f**2 + 11*f - 18. Let p be w(9). Solve -2*i - 10 = -p*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*t + 769 = 4234 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10001000001111?\nAnswer: 10001000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*y - 781 = -6*k, -2*k + 1497 = -3*y. Suppose -2*t + 291 = -5*n, 5*t + 4*n - 7*n = k. Calculate the remainder when t is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2222 = -21*h + 1495. Let m = h - 1585\/9. Factor -m*a**3 - 2*a**2 - 2\/9 - 4\/3*a.\nAnswer: -2*(a + 1)**2*(4*a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*m + 37 + 228 + 15 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*d = 0, 2 - 37 = -5*m - 5*d. Which is the third biggest value? (a) -1.1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 28*f**2 - 24*f**2 + 3*f**4 - 4*f**4 - 2*f - 2 - 2*f**3 as z + m*f**4 + o*f**2 + l*f**3 + n*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -78.264. Let n = 0.494 - 0.5. Let a = n + d. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 54 = -22*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 981 - 965.2. Which is the closest to -0.1? (a) 1 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121010202 - 2000210?\nAnswer: -200011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 6*b - 3*b. Let m = 13 + b. Solve r + 4 = -m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-9)\/(-4)*(-12)\/18. Suppose 3*x = -4*l + 26, -h*l + 1 + 12 = -x. What is the smallest common multiple of l and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 77. Let n(j) = -7. Let o(m) = -22*n(m) - 2*q(m). Let u(r) = 20*r**2. Give o(u(p)).\nAnswer: -160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/(w\/w**(-2\/9)))**(-39)*(w\/((w\/(w\/(w\/(w*w\/w**(-2\/19)))))\/w)*w**(-2\/15)\/w*w)\/(((w**(1\/7)\/w)\/w)\/(w**(-3\/5)\/w)) assuming w is positive.\nAnswer: w**(568367\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11337002713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let l(u) = 8. Let m(i) = -l(i) + 4*y(i). Let q be m(-9). What is the tens digit of q\/8*(0 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 4:25 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5306 and 71\/84?\nAnswer: 31836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 150223?\nAnswer: -150241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 515?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {z: 1, q: 1, k: 3, l: 5, t: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103*4.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-7)\/(-2))\/7 + 5. Suppose 0 = 4*g + v - 0*v - 13, -5*g + 35 = r*v. What are the prime factors of (-148 + (-3 - -2))*-1*g?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2574 - 49012*u + 5*u**2 + 49012*u.\nAnswer: 5*u**2 - 2574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 64*t + 4. Let y be q(-32). Which is the nearest to -1\/5? (a) 2 (b) -5 (c) 0.5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 + 3*g. Let v be 60\/14 + (-4)\/14. What is b(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 9*j + 108 = 5*n, 5*j = 2*n + 241. Let u be 7\/((-70)\/(-15))*26. Let o = -79\/2 + u. Sort -4, o, j in decreasing order.\nAnswer: j, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1536640*m**4\/3 + 1097600*m**3\/3 - 98000*m**2 + 35000*m\/3 - 3125\/6.\nAnswer: -5*(28*m - 5)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*q = -315. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -767174 + -5?\nAnswer: -767180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than or equal to -212729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) -39 (c) -0.5 (d) 11070\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 5. Let p be n(-7). Let v be 2\/(-1)*42\/(-4). Let r be (4\/2)\/(-2) + v. Solve -3*t - p*i - r = -6*i, 2*t = -2*i - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g = -48. Let a be g*(6\/(-3) - -3). What is the tens digit of (-63)\/(-2) - 6\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/13*q**3 + 6\/13*q**2 - 4\/13*q + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1279*v + 32005. Calculate i(25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -160, -166, -170?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004062 to the power of 1\/2, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -722\/7 - -103. What is the smallest value in c, -0.5, -8.5?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0478 - -0.0078. Let a = 16 + -47\/3. What is the second smallest value in -0.1, r, a, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = n + 1, -3*n - 1316 = -1298 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, -0.1, -0.6, 0.3, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 - -2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 1 (b) -6\/11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4700 divided by -50\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11704485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227453223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/18 of a day?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - n - 16 = 0, -5*p = -367*n + 384*n + 128 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s**2 + 3*s**3 + 26 + 31\/4*s**4 - 3*s. What is the third derivative of k(q) wrt q?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6 + 12520*j**4 - j**3 + 6*j**2 + 16*j - 13.\nAnswer: 120*j**3 + 300480*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 309066497 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is adbc02 + 0?\nAnswer: adbc02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -43*u**2 + u - 2. Let k be h(1). Let n be (4\/3)\/(k\/(-231)). Sort n, 4, -4.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczllzlalcazlcaccla. What is prob of sequence clcc?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s - 9. Let d be p(7). Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 0.08837\nAnswer: 0.8837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813 = 32*h - 1133 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/13, 3583, -1\/3?\nAnswer: 3583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (11 - (-2799)\/(-162)))*(-7 + (-737)\/(-110)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-934*o + 2507 - 2507)*(2*o**3 + o**3 - 2 - o**3).\nAnswer: -1868*o**4 + 1868*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -96.51. Let g = 0.13 + y. What is g rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - q - 1. Let s(b) = b**2 + 3*b + 6. Let o(f) = 2*d(f) + s(f). Let l be o(0). Let z = 855 + -852. Sort l, 5, z.\nAnswer: z, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4526, -8, 1, 0, 4 in descending order.\nAnswer: 4, 1, 0, -8, -4526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 45. Let s = -4816 - -4800. Give c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3278, 2662, 1670, 302, -1442, -3562, -6058?\nAnswer: -8930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/11930 and 89\/23860.\nAnswer: 23860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120348629 to the power of 1\/3, to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/6 - 15*c**2\/2 + c. Let q = -20257 + 20257. Determine a(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 7*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -417319, -4.\nAnswer: -417319, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*m - 41. Calculate the smallest common multiple of 3 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -10 - 5\/2*q**2 - 2*q + 0*q**5 + 0*q**4 + 0*q**6 - 1\/6*q**3 - 85\/42*q**7. Find the second derivative of o(t) wrt t.\nAnswer: -1700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:03 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229497.5 - -229497. Let v = -0.034 + 6.434. Let d = v - 6. What is the third biggest value in x, d, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732 divided by 772?\nAnswer: 433\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) -16 (c) 13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305.1 + -304.9. Which is the biggest value? (a) -2 (b) 85\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27.3638km?\nAnswer: 27363800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, -5, -109, -26 in descending order.\nAnswer: 5, 2, -1, -5, -26, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 32. Let g = a - 4. Let y(t) = 2*t - 4. What is the smallest common multiple of y(7) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, -53, 18\/17, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585120.\nAnswer: 2, 3, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from {t: 5, h: 4, k: 7, z: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 10\/(-3)*15\/(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -11\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(99)*-1).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -426630 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -62*y + 119*y - 56*y. Let n(l) = -4*l**3 - 44*l**2 - 156*l - 100. Let p(t) = 16*i(t) + n(t). Factor p(r).\nAnswer: -4*(r + 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*r, -2*s - 27 = -5*r - 6*s. Suppose 3*u = -r*u - 18. Let y(n) be the second derivative of 5*n**3\/6 + 3*n**2\/2 + 2*n. Give y(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, q: 2}. What is prob of picking 3 r and 1 q?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(54)\/(sqrt(9) + sqrt(72)\/sqrt(8)))*-4)\/((-4*sqrt(175)*-5 + sqrt(175) - sqrt(175) - sqrt(175))*-2).\nAnswer: 4*sqrt(3)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -163.658. Let w = z + -0.242. Let f be -13*(1 - 3 - -1). What is the third smallest value in f, w, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfflfwlwfflwf. Give prob of sequence flwl.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {e: 2, z: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - x = 43, -3*t - 56 = 4*x - 148. Let v be 33\/t + -2 + 1. Let k be 2\/4*1\/2. Which is the nearest to -1? (a) -1 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70035 and 44977695.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) + 2180\/(-210). Suppose 0 = 5*p + 5, -3*k + 25 = 2*p + 3*p. Let y = k + -20. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + 74\/(-9). Let g be (-14)\/m - (-1)\/4. Suppose 2*o + 17 = -5*c + g, 4*c - 2*o = -30. Which is bigger: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 822198 by -127.\nAnswer: -6474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from dxxdkkkkkkkkkkkkkxkk.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1036373 and 27521?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.7 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + -152. Let k = 56 - h. What are the prime factors of k?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 10, -11\/2, 0.1, 34?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + -58 + 14 + 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 0.8, -1\/60, 0.01?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -157152831 by -1419.\nAnswer: 110749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (38 + -3)\/(-5) + 5 + -3. Let g(k) = k**2 + k. Let v(h) = 6*h - 8*h - 3*h + 4*h**2. Give d*g(c) - v(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*u - 715 = 64*u. What is the greatest common divisor of u and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:47 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.450329 to 2 decimal places.\nAnswer: -22.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, c: 2, h: 3}. Give prob of sequence cbc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7830.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 68.5. What is the second biggest value in y, 1, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8*40\/(-45). Let y = 28 - 26. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*d - 6. Let u(t) = 2*t**3 - t**2 + 3*t - 2. Let a be u(d). Solve a*j - 1 = 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 14*z + 2 + 11*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b + 30*b - 18*b to the form o*b + i and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 + 6*n + 2. Let y be s(-5). Sort -0.5, y, 3 in increasing order.\nAnswer: y, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56706210 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -663 >= 0.1253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 - 772 = 47*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 0*a + 2*a)*(-3 + a**2 + 3) - 33*a**3 - 7*a**3 - 8*a**3 in the form c + l*a + x*a**2 + i*a**3 and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63851 divided by -3?\nAnswer: -63851\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.1 (c) 4\/9 (d) 6192 (e) 1 (f) 5\/2 (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3363 bigger than -3364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58395 and 65265?\nAnswer: 1109505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1101101111 (base 2) to base 13\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3 in descending order.\nAnswer: 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.63 + 0.23. Let g = f - -1.4. Let d be (-1)\/3 + (-20)\/(-6). What is the biggest value in g, d, -3, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33111, 34013, 34915, 35817, 36719?\n\"Answer: 902*p + 32209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1612914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670385?\nAnswer: 5, 134077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -99404228 divided by 62?\nAnswer: -1603294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31530 is divided by 7799.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Suppose 2*g = -c + g + 8, -k*c + 38 = -4*g. Is 10\/4*16\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-12\/5))**15*(o**(10\/3)*o)\/((o\/(o*o*o\/(o**26\/o)*o))\/o) assuming o is positive.\nAnswer: o**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) + 17\/3. Suppose -t*p = -3*p - 12. What is the second derivative of 4*n**2 - n - 7*n**p - 4*n**2 + 6*n wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 11*w**2 + 12*w + 25. Let g be j(-10). Let v(r) = -7*r - 53. Let y be v(-19). Calculate the highest common divisor of g and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 2*k + 3. Let n(p) = -5*p**2 - 16*p + 18. Determine -n(m) + 4*q(m).\nAnswer: m**2 + 8*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6398.\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2 + 213*l + 28*l**2 - 192*l wrt l?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 100\/7, -2\/7, 0, 25, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12916428 to the power of 1\/2, to the nearest integer?\nAnswer: 3594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 253376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let s(l) = -l**2 - l - 5. Let z = 6 - 2. Let x(i) = z*w(i) - s(i). Calculate the remainder when x(6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0403296462 rounded to 4 dps?\nAnswer: 0.0403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10637508*z**2 - 10637508*z**2 - 355*z**3 + 358*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.17944, -3\/4, -3, -1, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -6372\nAnswer: 2548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 72 + 12 - 2*o.\nAnswer: -o + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.04, -1, 97, -5, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 7*t = 2*t + 5, 6*k - 2*t + 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from svhsvsssvgsghgsgshss.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371645?\nAnswer: 3, 5, 11, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -22 + 7. Suppose 4*f = 5*a - 530, 2*a - l*f + 565 = 7*a. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -24. Suppose h*r = 47 + 83. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 7*a - 2. Let y be l(6). Let w = 24 + -19. Let m be 0\/(w\/(-2 - 3)). Solve m = -y*c - 1 - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 57206.\nAnswer: 22882.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.433 + -2.29. Let j = q - 0.051. Round j to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/24 + 2*k**3 - k**2. Let m(l) = -l**2 + 2*l - 1. Let f be m(-2). Does 2 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022532204 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times 750237\nAnswer: 2325734.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -91, -132, -191, -274, -387, -536, -727?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 7. Let h(o) = 4*o - 3. What is the remainder when h(4) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/3*2*(7 + -8). Suppose -5*n - 41 + 12 = 4*s, 5*s - q*n = 5. Put 1\/2, s, 2\/15 in ascending order.\nAnswer: s, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -919, -996, -1123, -1300?\n\"Answer: -25*a**2 - 2*a - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 9*g**2 + 13*g - 2*g**2 - 6*g - 4 - 5*g**2. What is p(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 7*w**2 - 5*w + 9. Let p be o(-6). Solve -5 = 2*v - p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/19, -277\/10 in ascending order.\nAnswer: -277\/10, -2\/11, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 594, 962, 1328, 1692, 2054?\n\"Answer: -w**2 + 371*w + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**2 - 26*r**2 - 3 + 5*r**2 + 2*r**2.\nAnswer: 11*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Suppose -8 = 5*f - 3. Let u(z) = 5*z - 2. Suppose -5*w = -15*w + 60. Calculate f*u(v) + w*j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980, 968, 952, 932, 908, 880, 848?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-78 - (-167 + 60))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/32*4416\/(-2392).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200205, 399923, 599641, 799359, 999077, 1198795?\nAnswer: 1398513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {c: 4, m: 7, h: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(-19040)\/(-448).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.731 - -0.031. Let v = -7.7 - r. What is the third smallest value in v, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 22, -6, -54, -128, -234?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(1300) - (sqrt(1300) + 4*sqrt(1300)))**2)*1 + 5 + -1*1*(sqrt(52) - sqrt(13)).\nAnswer: -sqrt(13) + 20802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 41*t + 20. Let o = 202 - 161. Let b be r(o). Solve -35*x + b = -30*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1886128220 to the nearest one hundred thousand.\nAnswer: 1886100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:47 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Let k = -64 - -191. Let o = k - 122. Let q(p) = -8*p - 7. What is o*q(n) - 35*z(n)?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39028720?\nAnswer: 2, 5, 41, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 656472 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z - 10*z + 2*z**2 + 5*z**2 - 4*z**2. Let f(s) = -s**3 + s**2 - s. Give 3*f(p) - i(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 - 95*h - 311*h - 258*h - 1 to m*h + a*h**2 + o and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (6 - 4)) + (112 - 114) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-9)*(-244)\/((-39040)\/(-720))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1)*3 - sqrt(55)\/(sqrt(5)*-2))**2.\nAnswer: 21*sqrt(11) + 575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 3*l - 2. Let s(i) = i**3 + 4*i**2 + 2. Let n be s(-4). Let b be f(n). Solve 4*r + b = 2*q, 4 = -2*q + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o - 2. Let w be q(2). Let p = -93\/4 + 23. What is the second smallest value in p, w, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46452 = -214*g + 263*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5406 (base 14) to base 11.\nAnswer: -a9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-3 - (-22 + 4) - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (898 + 1356 - 1805)*(0*i - i + 0*i) + (0 + 1 - 2 + (1 + 1 - 1)*(2 - 2 + 3))*(0*i + i + i).\nAnswer: -445*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*q + 14, -5*q = 2013048*j - 2013049*j + 55 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 16. Let s be j(-13). Solve -4 = l + s*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38529523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-45) - (-10)\/(-3)*(-84)\/350.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**3 - 129*h**2 - 111*h + 49. Let n(q) = q**3 + 26*q**2 + 22*q - 10. Let o(a) = -11*n(a) - 2*p(a). What is the tens digit of o(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109083635*q**2 + 684449764*q.\nAnswer: 218167270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101011000000111000101 (base 2) to base 5.\nAnswer: -2413310111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5244432 (base 6) to base 2\nAnswer: 111110010001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n**2 - 3*n**2 + (-2*n + 4 - 4 + (-4*n + 0*n + 3*n)*(5 + 3 - 6) - 2*n + 1 - 1)*(-5*n + n - n).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1104 - -12156\/11. Let g = -2\/6893 + 213703\/68930. Calculate the common denominator of g and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 8. Let k be b(-8). Differentiate 1 + k + 11*z**4 + 8 with respect to z.\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/8)*h**3 assuming h is positive.\nAnswer: h**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 518701307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 6:39 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66883939 minus -3524?\nAnswer: -66880415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14966?\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 658 or 662?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 580*b**3 - 4*b**2 - 3*b + 12. Let s be r(2). Suppose 19*z - 13363 - s = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnooyzyzottn. Give prob of sequence yn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696281.\nAnswer: 696281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3778\/9 + 2\/9 - 2. Suppose -s = -205 - d. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttaaataatat. What is prob of sequence ta?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-232)\/(-32) + 9\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5109560?\nAnswer: 2, 5, 127739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 2*x**3 + 3*x**2 + (0 - 2*x**2 + 0)*(-2*x + 5 - 5) + 2*x**3 - 3*x**3 + 2*x**3 + (2*x**2 + 2*x**2 - 6*x**2)*(-44 - 6*x + 44) - 2 + 2 - x**3.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1739*o**5 + 521*o**5 - 446*o**5)*(1 + 0 + 1).\nAnswer: -3328*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + -0.01. Let o = 0.4 - f. Let p = 633 - 632. Which is the third biggest value? (a) o (b) 0.38 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5187 = -5*x - 8*x. Let c = x + 365. Is 4\/3 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 1\/5 (b) 1.8 (c) 0.5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-17.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -101010210110201?\nAnswer: 101010210110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g*o*s - 4*g*o*w + g*s*w**3 + 51*g*s*w - 84*g*w**3 + 74*o*w**3 wrt o?\nAnswer: 5*g*s - 4*g*w + 74*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -96, -222, -408, -660, -984?\n\"Answer: -x**3 - 21*x**2 - 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87210 and 741.\nAnswer: 1133730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 256.3 and -955411.77.\nAnswer: -955155.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x. Let o(t) = t - 1. Let f(n) = 3*n - 7. Let u(c) = -2*f(c) + 14*o(c). Let z(k) = -6*a(k) - 5*u(k). Let y(q) = 2*q**2. What is y(z(d))?\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/9, -0.2, 10511, -4, 4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.295757 rounded to 2 decimal places?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6608*g - 409535. Calculate j(-62).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let r be t + (-7)\/((-3990)\/(-1348)). Let f = r + -2\/57. Which is the second biggest value? (a) 0.2 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 2238.64.\nAnswer: 67159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 153\/(-51)*(10\/(-6) - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.2. Let x = 397 - 396.942. Is l < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {e: 1, b: 3, h: 1, o: 1, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 11*z + 43 = 0, 849*t - 851*t - 6*z = -3*z + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1095786 and 1530.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14317 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11493525\/4 + -69221285\/24. Let h = -10843 - u. Calculate the common denominator of h and -47\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-81)\/(-45) + (-1)\/(-5). Let -6*m**q + 2*m + 4*m**4 + 18*m**2 - 5*m - m - 12*m**3 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2456*u**3 + 2451*u**3 - 2 - 3 + 5.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose y - 7 = -11, 2*d + y = 2. Sort -0.01, x, d in increasing order.\nAnswer: -0.01, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0.8, -5, 1\/2 in descending order.\nAnswer: 1, 0.8, 1\/2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 - 180. Let s(l) be the third derivative of -l**6\/120 - l**5\/60 - l**2. Determine s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1247*q - 23688. Determine l(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p + 0*p)*(-5*p + p + 3*p) + 119*p**2 + 122*p**2 - 455*p**2.\nAnswer: -215*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/38217 smaller than 66.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43855125427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -433 - -688. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 396\/330 + (-3996)\/3730 and 85\/4?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -477.448633 + 6.621513. Let n = d - -495.828. Let h = -25 + n. What is h rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -979*i**3*j + 17*i**3*x - 10*i**3 - 3*i**2*x**2 - 122*j*x**2 wrt x?\nAnswer: 17*i**3 - 6*i**2*x - 244*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24369156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/((-95)\/(-855)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 699.\nAnswer: -2097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 686306 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-5))\/(22\/495). Let z(i) = -2 + 2*i - 36*i**2 + i**3 - 2*i**3 + o*i**2. What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + t - 75 = -11*s, 40 = -908*t + 911*t + 5*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let g be (-4)\/18 + (-100)\/(-45). Let j be g*(-5)\/(-50) + 21\/(-55). What is the biggest value in a, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15 + 287*w - 13 to the form h*w + n and give h.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - 24. Let m be (c\/6)\/(2\/3). Let v(i) = 8*i - 3. What is the tens digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131125 != -131209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -0.086, -2, -5 in increasing order.\nAnswer: -5, -2, -2\/19, -0.086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 - 105\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 403 - 397. Let t be (-6)\/33 + 8122\/22. What is the units digit of t\/2*4\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(288))\/sqrt(8))\/(sqrt(12) + sqrt(144)\/(sqrt(12)*3))*1)**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 1. Let s(q) = -14*q**3 + 3*q**2 - 4*q + 6. Let j(a) = -22*a**3 + 3*a**2 - 5*a + 7. Let i(z) = 2*j(z) - 3*s(z). Give -i(v) + 4*m(v).\nAnswer: 2*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 + 11 + 35*i**4 - 572*i**2 - 2*i**3 - 2*i**3 - 36*i**4 + 575*i**2 + i as h + x*i**3 + j*i**4 + w*i**2 + p*i and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 306, 410, 584, 852, 1238, 1766?\nAnswer: 2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24903 = 176*i + 31591 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*b**3*x**3 + 718*b**3*x - 5*b**2*x**3 wrt x.\nAnswer: -672*b**3*x - 30*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/20 + 14\/8. Let t(v) = -648*v + 651*v - 2 + 5 - z*v**3. Is 8 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -123.1. Put -2, h, 8 in descending order.\nAnswer: 8, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 9*j - 1. Let i be z(6). Let o = -14 + i. Solve o*m + 1 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 54*h**2 - 39. Let l(z) = -2*z**2 - 2*z + 62. What is l(x(b))?\nAnswer: -5832*b**4 + 8316*b**2 - 2902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73530, 294145, 661836, 1176603, 1838446?\n\"Answer: 73538*m**2 + m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 15*v - 27 = 10*v, -2*o + 2*v = 6. Let r(l) be the first derivative of 1\/4*l**4 + 7\/3*l**3 - 13 + 0*l - 7\/2*l**o. Determine r(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6509*s**2 + 376*s**3 - 3*s**4 + 1439506 + 7*s**4 + 4109*s**2 + 207360*s - 222994 + 2630*s**2.\nAnswer: 4*(s + 22)*(s + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*l = 20, -5*l = 2*c - 40 - 5. Suppose -3*a + y + 16 = -c, -2*y = -4*a + 34. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/(-2166)*19)\/3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + 4*c**2 - 2*c**2 + (0 - 2*c + 0)*(0*c + 4*c - 3*c) + 3*c**2 + 4*c**2 - 3*c**2 + (2 - 2 + 2*c)*(-6*c - 4*c - 8*c).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 - 14\/(-18). Let x = -1 + -2. Let d = 2 + x. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218557.\nAnswer: 19, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:33 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 3*r**3 - 67*r**2\/3 - 17*r + 42.\nAnswer: (r - 14)*(r - 1)*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {n: 1, i: 7, u: 1, b: 1, q: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1919 is divided by 305?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1007 = 2*a - 1011, -13*c = -5*a - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-977 - (6 - 6)). Is q*((-4)\/(-16) + (-9)\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - t = 3*s - 15, 0 = 4*s + 4*t - 12. Suppose -2*v - 1 - 1 = 0. Let w be (-2 - v)*(-7 + s). Solve 5*x - 23 = -4*k + w, 0 = 2*k + 3*x - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)*u**(1\/15)*(u\/(u\/u**2))\/(((u\/(u*u*u**(3\/2)))\/u)\/u) assuming u is positive.\nAnswer: u**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + (2 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/6 + n**3\/2 - 47*n. List the prime factors of o(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18412388563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001211 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 1)*(-7*o + 18*o - 5*o) + 0 + 0 + 5 + 2*o.\nAnswer: 50*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 101120200 (base 3) to base 8\nAnswer: 17041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*h + 196 + 38 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.4. Let d = 5.7 + -1.7. Put d, a, 9 in decreasing order.\nAnswer: 9, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 7*c - 4. Let w be q(6). Suppose -28 = -2*v + 4*z, -w*v + 4*z - 22 = -5*v. Let g(d) = 2*d + v*d - 9*d. Let a(l) = -l**2. Give a(g(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 11:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38556*p**3 + 38*p - 75145*p**3 - 116 + 37859*p**3 wrt p?\nAnswer: 7620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -91. Solve -h*t + 4*t - 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3392 + 3258. Which is smaller: -138 or z?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 = -6*r. Let p(l) = -2 - 4 + r - 2*l + 6 + 4*l**2. Let v(o) = 6*o**2 + 7 + 3*o - 3*o - 5*o + 3*o**2. Calculate -7*p(g) + 3*v(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 57, -45\/13, 0.1, 3, 2\/15, 1\/4, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1187*j*y**3 - 13*j*y + 8*j + 3*y**2 wrt y?\nAnswer: 7122*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122364 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -739, -2976, -6713, -11956, -18711, -26984, -36781?\n\"Answer: -d**3 - 744*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 304 = -8*x, x + 25 = -133898*g + 133901*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20796375, 20796360, 20796321, 20796246, 20796123, 20795940, 20795685?\n\"Answer: -2*t**3 - t + 20796378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 5765746?\nAnswer: -5765744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9006983\/1332 + -6762. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -4. Suppose -2*n - 6 = -5*z, 4*z = -n + s*n - 2. Suppose 4*t = n*t + 4. Solve 0 = -2*c + 3*g - 5*g - 2, 3*c = -t*g + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5 + 137*z**4 + 263*z**3 - 941*z**2 + 540*z = 0.\nAnswer: -135, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -3\/14, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -13. Let g(w) = -141*w + 3195. Let m be g(22). What is the highest common factor of b and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.99 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b + 20. Let m = 44 - b. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 9. Let a(s) = s**2. What is a(x(u))?\nAnswer: 16*u**2 - 72*u + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 42 = 4*b, 461*g = 2*b + 956*g - 493*g + 42 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1075*q + 304*q + 468*q + 154*q to the form p*q + k and give p.\nAnswer: 2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34646.\nAnswer: 2, 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**2 - 9*m - 11. Let s(j) = -5*j**2 - 5*j - 6. Suppose -n + 3*u - 10 = 0, 2*n - u + 15 = -0*n. What is n*s(l) + 4*q(l)?\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125445 - -366?\nAnswer: -125046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + k**2 - 8*k**2 - 7*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/((m\/(m\/(m*m*m**(1\/9))*m)*m)\/m)*m**5*(m\/(m\/(m**2*m)))\/((m*m**1*m*m*m*m)\/m) assuming m is positive.\nAnswer: m**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*-1)\/(sqrt(2) + sqrt(98)*-3 + sqrt(98)).\nAnswer: sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100036 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(42\/8))\/(69\/(-21) - 1). Let o be -1 + 0 + 9\/6. Which is the second smallest value? (a) r (b) -3 (c) -2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5795600350742 and -2.\nAnswer: 5795600350740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36.4, -18, 1, 0.3, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 7*y**6\/10 - 91*y**2\/2 + y - 87. Let k(w) be the first derivative of x(w). What is the first derivative of k(q) wrt q?\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (1 - 2)*8. Let v be 2*-1*t\/4. Let q(b) = -b**3 - 2*b**2 + 5*b - 3. Is q(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152332906*q*u**5 + 665363*q*u - 131*q wrt u?\nAnswer: -3046658120*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (288\/(-8))\/(-9) + -422. Which is bigger: v or -417?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4087138 - 1?\nAnswer: -4087139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540 + 0.4.\nAnswer: -1539.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -15, -4.\nAnswer: -15, -4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(136) - ((sqrt(136)*-2 - sqrt(136)) + sqrt(136)))*-2)\/(sqrt(128) - (sqrt(128)*-1*-5 - sqrt(128))))**2 + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 12. Let v(n) = 4*n - 1 + g*n - n**2 + 2 - 2. Let j be (1\/1)\/(1\/6). Calculate v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.46 - 12.2. Let s = -1.21 - -1.31. Is s bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11))**(-1\/25)\/(m**9*m*m*m**(2\/7)\/m) assuming m is positive.\nAnswer: m**(-19786\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x - 68. Suppose -x = 3*f - 5*p + 4, 19 = -5*f + 3*p. Let w be -1*(-4 - (f + 0)). Solve -w*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/12*28\/(-49). What is the closest to -1 in m, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/588)\/(244\/427).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from zottvovtthttvvt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 10260?\nAnswer: 1024c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010337 to 5 dps.\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r + 5. Let j be t(-7). Let g = 25 + j. Calculate the greatest common divisor of g and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by -2.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 54*v**2 - 3*v + 2. Let q be n(3). Let s = 732 - q. Suppose 4*c = -3*j + 149, 0*j - 5*j - 2*c + s = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -2, 15, 11 in decreasing order.\nAnswer: 15, 11, 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 6689*k - 19333*k + 5958*k + 6687*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 15*w + 68 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -1\/3*m**7 + 0*m**2 + 0*m**6 - 54*m + 0 - 11\/6*m**4 + 0*m**3 + 0*m**5. Find the third derivative of x(p) wrt p.\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 812 and 2673524?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 121665836?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 3*u. Let q be h(-2). Is (-42)\/q*(-6 + 7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/(-6*6\/120). Let f(r) = -r**2 - 5*r - 4. Let p be f(h). Solve 5*b - 23 - 2 = p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 306.8 - 306.9. Which is the nearest to 0.1? (a) 2\/21 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. Let l be ((-8)\/q)\/(6\/288). Let c be 4\/(-14) + l\/(-28). Solve -c*g + g = b + 2, 5*b = -3*g - 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656856 + 26843 = -31*z. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzczcz. What is prob of picking 2 z and 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4.5+1405257\nAnswer: 1405261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16052*c**3 + 47469*c**3 - 2493*c**3 - 2*c**2.\nAnswer: 61028*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 264, 260, 250, 234, 212, 184?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6240 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10589*3.7.\nAnswer: -39179.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 6*v. Suppose q + 5 = -2*l - 2, 5*l = 2*q - 22. Let r(u) = -u**2 + 82*u - 47*u - 36*u. Give l*w(s) - 22*r(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 9085549.8978?\nAnswer: 9085559.8978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221578 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6) + sqrt(6)*-1*-6) + -1 + (sqrt(140) - (sqrt(140) - sqrt(140)*1))\/((sqrt(15)*-2)\/sqrt(3)))*-3.\nAnswer: 3 + 18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111020020 + 101?\nAnswer: -111012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32133233 + 0?\nAnswer: 32133233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5 + 1544\/288 - (-5)\/(-20)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(2 - 2 + 4)*(0*n + 2*n + n)*(11*n + 4*n - 1 - 7*n).\nAnswer: -384*n**2 + 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-162))\/((-12)\/18)*-3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -18*w**2. Let n(z) be the second derivative of -5*z + 0*z**2 - 1\/2*z**3 + 0. Determine s(n(c)).\nAnswer: -162*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 10)*(-7*w + 274*w - 113*w).\nAnswer: 1232*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 155*v**2 - 2*v + 2. Let f be n(1). Let x = f - 56. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -372*v - 2591. What is k(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/20 + 5*p**4\/12 - p**3\/6 + 7*p**2\/2 - 5*p. Let s be n(5). Solve h = s, 2*h = 5*f + 5*h + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 9*z - 41, -k - 15 + 33 = 3*z - 4 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:57 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 34631*b**2 + 11*b - 34629*b**2 + 4 - 16. Determine q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let r be j(-4). Solve 3*b + r = 5*t - 3, -2*t - 1 = -5*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 5\/3 (c) -2082\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24787, -50402, -76017, -101632?\n\"Answer: -25615*f + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 494 = -l, 0*b - b + 2*l - 119 = 0. Let s = 186 + b. What is the greatest common factor of s and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*v, 264*v = -2*b + 267*v + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (57\/836)\/(87\/(-232))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*d + 21 = -d, 2*t + 4*d - 6 = 0. Solve -3*v + 17 - t = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4076631 (base 10) to base 4.\nAnswer: -33203101113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(891) + -1*sqrt(891) - (0 + (3*sqrt(704))**2 + sqrt(704)).\nAnswer: -6340 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 28*i - 20. What are the prime factors of u(-13)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 5*f - 5. Let m(z) = 21*z**2 - 18*z - 18. Suppose 3*h = 5*j + 5, h - 3*j + 25 = -8*j. Give h*m(k) + 18*y(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3483 + 4c1?\nAnswer: 3974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145\/9 - 49\/3. Let k = -0.1 + -1.9. Which is the closest to q? (a) k (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -7. Suppose 0 = -y*v + 4*v - 55. Let f be (3 - 3)\/(v - -8). Solve -3*z + 0*z + 6 = f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 4, -i - 3*z = -37. Let n = -15 + i. Calculate the remainder when n is divided by 183\/21 + 6\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*i**6 + c*i**3 + 347*c*i**2 - 103*i**4 wrt i.\nAnswer: 240*c*i**3 + 6*c - 2472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 8*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 3, 60, -2 in decreasing order.\nAnswer: 60, 3, 2, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/863 + 128599\/5178. Let y = -217 - -1153\/6. Calculate the common denominator of y and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256571?\nAnswer: 7, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-24)\/f*f)\/f)*f**23)**27 assuming f is positive.\nAnswer: f**1323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 3) + (-1 - (16 + -3) - -14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117267433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870*s = 2*f + 872*s - 7234, 2*f + s = 7240. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 6 = -5*a, 5 + 13 = -5*u - 8077*a + 8079*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 116 = -18*h, -93*h - 2*k = -96*h - 5*k - 6 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = z - 13, -x + 2 = -5*z + 3. Solve 5*n - w + 5 = 0, 2*n - n = -x*w + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10506 - -10505.999961842. What is p rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 5.7. Let p be ((-7104)\/(-5328))\/((-4)\/(-9)). Which is the closest to p? (a) -3 (b) 0.5 (c) -18 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**5\/30 - 2*i**2 - 10*i. Let k(q) be the second derivative of 0*q**2 - 4*q + 0*q**3 + 0 - 10\/3*q**4. Calculate x(k(p)).\nAnswer: 3200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -168*b**2 - 231. Let h(l) = -17*l**2 - 23. Let i(p) = 21*h(p) - 2*r(p). Differentiate i(a) wrt a.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/((-39)\/(-18)). Let f = 9.6 - 13.7. Let k = -4 - f. Are p and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*h**2 + 484*h**2 + 19*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 3. Let b(g) = -4*g. Calculate the remainder when k is divided by b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 - 68*x**3 - 1648*x**2 - 16368*x - 52272 = 0. Calculate x.\nAnswer: -22, -18, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (-2 + 6) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338267, 338280, 338321, 338402, 338535, 338732, 339005?\nAnswer: 339366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 102*p**2 + 18*p**3 - 60*p**2 - 20 - p**3 - 42*p**2.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjjjjjjjjjjjjxjjjjj. Give prob of sequence jj.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*v + 7 + 3, 2*a + 5*v - 9 = 0. Differentiate -7*g + 5*g - 2*g**4 + 2 + a*g wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*d - 0*d - 8, -2*z = -5*d + 20. Let v be (3 - (z + 3))\/(-2). Solve 2*f + 2 = -5*c + 5, v = 4*c - 4*f + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3667*x - 1510058 = 3645*x. What is the ten thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 21 = -10*h. Let a be -2 - (h - 4\/(-1)). Let r be -8 - -6 - (3 + a). Let w(v) = v**3 + 7*v**2 + 8*v + 9. Determine w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372009369.\nAnswer: 137, 3037, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-4))*s*s)\/(s*s**(-9)*s))**(-36) assuming s is positive.\nAnswer: s**(-468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - j + 4*j**2)*(-4 + 4 - 2*j)*(-5 + 2 + 4) - 2*j**3 + 0 + 0 in the form h + q*j**2 + v*j**3 + u*j and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.511 in -2\/21, -11\/5, 30, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(sqrt(66) - sqrt(66)*2))\/(sqrt(48)\/(4*sqrt(32)))*-1.\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81560, -163151, -244742, -326333, -407924, -489515?\n\"Answer: -81591*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -25*b + 2. Let h be s(-3). Suppose 10 = -y + h. What is the remainder when y is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 20.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (sqrt(567) - (2 + sqrt(567))) + -3)*4.\nAnswer: -20 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 464 - 227. Let y = g + -237.5. What is the smallest value in -2\/13, 3\/4, 2.6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -63007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 935024983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(-2) - (-605 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 3, j: 3, b: 1, h: 1, v: 5}. What is prob of sequence bv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665.6 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose -4 + b = -2*m. Suppose 0 = 2*c + 8 + m. Sort -4, -2, c in decreasing order.\nAnswer: -2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**3 - c - 1. Let i be h(-1). Sort 0, i, 1, -5 in decreasing order.\nAnswer: i, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 432*t - 427*t - 24 = 0, 7*t = 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -257 - 162?\nAnswer: -3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/4 + -1)*(181 + -185). Solve -5*d = 3*c + 21 + m, 28 = d - 5*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 23114565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtttt. What is prob of sequence tt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 494432\/23 + -21497. What is the closest to m in 3\/5, -1\/10, -0.15, 5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11233230 (base 4) to base 14\nAnswer: 880c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 7*p)*(2 + 0 + 0)*(-3*p + 4*p - 2*p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 + 202. Let g be 3\/4 - (h\/(-4) - 2). Solve 0 = -6*l + g*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148\/7*y**2 + 152\/7*y + 32\/7 + 4*y**3.\nAnswer: 4*(y + 1)*(y + 4)*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c - 21 = -39*c. Let j = 56 - 51. Sort c, 4, j, 3 in increasing order.\nAnswer: c, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let t(v) = -19*v + 1. Let i be t(-1). Suppose -n = 3*n - i. What is the remainder when o(n) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(320) + 1*sqrt(180) + 1 + -6*sqrt(5) + 2)**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -180, -184, -190, -198?\n\"Answer: -g**2 - g - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(29\/2)*k*k\/(k**(-1\/5)*k)*(k**(-25\/3)*k)\/k**(13\/3) assuming k is positive.\nAnswer: k**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 9. Let p(l) = -2*l**3 + 35*l**2 + 15*l + 54. Let o be p(18). Suppose -3*k + s = o, -32 = -a - 2*k + 61. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than or equal to 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4097 from -37.684.\nAnswer: -4134.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssslssssslsmssssssl. What is prob of picking 1 m, 1 l, and 1 s?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 6:02 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175647 is divided by 176.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o. Let m(v) be the third derivative of -489*v**5\/20 - 23*v**2 - 79*v. Give m(b(y)).\nAnswer: -13203*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-10 - (4 - 7)))*57\/(2907\/(-2108))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-171))\/((-4)\/(-12))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*x + z, 0 = -4*x + 2*z - 0*z + 48. Suppose -4 - x = -3*s. Let o = -534 + 534. Which is the closest to -2\/3? (a) o (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 338*a**3*u**2 - 47062*a**3 + 2*a**2*u**2 + 765*a**2 - 3*a*u + 33*u wrt a?\nAnswer: 2028*u**2 - 282372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0686852477 rounded to 5 decimal places?\nAnswer: -0.06869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34683 is divided by 235.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 32 = -6*o + 4*a, -4*a = 16. Suppose 137 = 5*j - 648. Suppose -j = -o*t - 1. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3334*i**3 + i**2 + 17.\nAnswer: 20004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -560\/13. Is x less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329191304.\nAnswer: 2, 13, 3165301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011100011011010110 + -10?\nAnswer: 101011100011011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*x - 2*n + n, -1 = 4*x + n. Suppose v + k + x*k = -1, 3*v - 12 = 2*k. Suppose r = v*r - 79. What are the prime factors of r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -10. Let w(c) be the first derivative of 28*c - c**2 + d + 4*c**2 - 25*c. What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30025?\nAnswer: 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3409 divided by 2347\nAnswer: 3409\/2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((514778\/(-44))\/(1\/(-2)))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 372\/(-27) - 4\/18. Let t be (-24)\/p*(-5 - 2). Let j be -6*(-2)\/t*-2. Solve 0 = -7*b + j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*(-12)\/(-28). Is 51 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*b - 2*x, -228*x = -b - 221*x - 6 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - r. Let v(k) = 14*k**2 - 5*k. Give 4*s(z) - v(z).\nAnswer: -18*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1227604, 1226210, 1223886, 1220632, 1216448?\nAnswer: 1211334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011100101010001 (base 2) to base 7.\nAnswer: -1342306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50832385 - -50832434.7612456. Let q = w - 48.86125. Let y = q + -0.9. What is y rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37610655.\nAnswer: 3, 5, 53, 47309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/5)*d))\/d*d*d*d*d*d**(-3\/7))\/(d*(d*d\/(d**(-5)\/d)*d)\/d)**(-44) assuming d is positive.\nAnswer: d**(13901\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -887*(-10 + 17 - 8) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 5:16 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 15*x - 40. Suppose 3*r = -a + 25 + 64, -x = -r. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:48 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1139 - -1736. Let d = r + -577874\/201. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, 1, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*x + 6*x - 15 - 41*x - 4*x wrt x.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319816?\nAnswer: 2, 7, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1787\/35 + -51. Is -1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/30)\/(22\/110)*15. Let s be (9 - -1)\/(6 + x\/(-5)). Solve 31 + s = 9*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -51. Let n = u + -57. Let m be n\/6*(-6)\/5. Solve m*p - 20 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 10\/8. Let b = 759 - 757. Solve -b = h - i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8795037529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(343) + (sqrt(7) + 0 - sqrt(7)) + 4 - -2*1*sqrt(14)\/sqrt(2)*-1)**2.\nAnswer: 80*sqrt(7) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 18*z + 8. Put -1, -3, -10, z in decreasing order.\nAnswer: -1, z, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)**(2\/105)*(s*s\/s**(-2\/15)*s)\/s**6)**(19\/4) assuming s is positive.\nAnswer: s**(-5681\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 6*r = 32956. Suppose 12*y - 5*y - r = 0. Suppose -4*l = -842 - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -33\/7 (b) -0.15 (c) 172.973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-18) + (-2)\/9. Suppose 18 = q*r - 3*d - 6, -r = -4*d - 2. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 18. Suppose s - l = -0. What is the remainder when s is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from isiiddsssddssdiiss.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**2 - 13*i - 4. Let l(u) = -3*u**2 + 4*u + 1. Let s = -106 + 113. What is s*l(z) + 2*q(z)?\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, d: 2, g: 5, v: 5, m: 2}. What is prob of sequence vv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-4) - 396\/(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*x - 140 + 71 + 69 - 219*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5124)\/(-57) + (-18)\/(-171).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*y = 1081*y - 8052 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - -2.3\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2\/7, 2\/3, -3.\nAnswer: -3, 0.08, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let l(y) = 3*y - 2. Let t(g) = -7*g + 5. Let s(f) = f**3 + 6*f**2 + f + 8. Let m be s(-6). Let u(r) = m*t(r) + 5*l(r). Give o(u(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211114014 - 111?\nAnswer: -211114130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 3:35 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*f + 16, -3*j + 0*f + 4*f + 22 = 0. Which is the second smallest value? (a) -0.9 (b) -0.04 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/34)\/(58\/493))\/((-15)\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6576 take away 6842?\nAnswer: -13418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5887 + 5887. Factor 0 + m*s - 4\/5*s**2 + 2\/5*s**3 + 2\/5*s**4.\nAnswer: 2*s**2*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k - 242 + 212 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/3947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34799 - -96099. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4\/(-34) + 1649\/(-3179) - -3)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/579231 and -37\/306585.\nAnswer: 2192389335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13388108701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**2 + 0*a**3 - 9 - 3*a - a**3 + 2*a + 7 to i + o*a**2 + b*a + z*a**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2794*s**3 + 5456*s**3 - 2*s - 3065*s**3.\nAnswer: -403*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -364937*c - 1824680. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) + -6*(sqrt(7) - (-3 + sqrt(7))))**2 - ((sqrt(7) - -2*sqrt(252) - sqrt(7)) + 4).\nAnswer: -48*sqrt(7) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*h - 120 = 0, 0*k + 2*h = k + 65. Let t = -48 - k. Calculate the lowest common multiple of t and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129022947?\nAnswer: 3, 14335883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r, -2*y = -y - r - 130. Suppose -y*s + 140*s - 24 = 0. Calculate the highest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyy. Give prob of sequence ey.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3408 and 59\/4402.\nAnswer: 105648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -0.5 (c) 1 (d) -1\/7 (e) 0.1 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t + 3. Let b(z) = -z + 1. Let m(y) = -9*b(y) + 2*n(y). Let h be m(11). Determine r, given that 7*r**2 + h*r**2 - 9 - 24*r - 3 = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2734 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -2665.\nAnswer: -2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 15351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1072, -4281, -9630, -17119, -26748, -38517, -52426?\n\"Answer: -1070*v**2 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(315))\/(4*(sqrt(7) + 2*sqrt(7) - sqrt(7))).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/4 - 16285791*i\/2 + 88408996165227\/4 = 0. Calculate i.\nAnswer: 5428597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeesfeeeef.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from pqpgqgqqqqq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 127.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 546.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 25 - 145. Let h = c + -23. Calculate the remainder when 41 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*l + 683*l - 344*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1\/4, 9.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30191, 30192, 30195, 30200?\n\"Answer: l**2 - 2*l + 30192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90712759 at least as big as 90712759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1193.23 millennia?\nAnswer: 14318760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 437741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.4, -2\/3, 3 in descending order.\nAnswer: 3, 0.4, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 275 = -45. Let y = p + -44. What is the first derivative of 23 - 2*o**y + 2*o**2 + 24*o**2 + 10*o**2 wrt o?\nAnswer: 68*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 10 = 0. Let f = m + 2. Solve 0*p - 12 = -f*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:32 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/9, 0.0552, -3 in decreasing order.\nAnswer: 1, 0.0552, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -165*w + 3 + 562*w - 2. Let o be n(5). Suppose 1418 = 4*q - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -6, -11, -8, 9?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1721755 + -5?\nAnswer: 1721750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 9 = -18*d, -72*d + 73*d + 26*n = -393 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*-1*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*w**5 - w**2 - 4*w**2 - 46*w**5 - 8*w**2 wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 3*h + 14*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329576*h**3 + 21646*h?\nAnswer: 1977456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/(-3)*(8 - -7) and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 203491176?\nAnswer: 406982352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -15143\/591 and -26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*2728\nAnswer: -2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpl when three letters picked without replacement from {l: 4, e: 1, r: 3, m: 1, v: 3, p: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + h**2. Let d(y) = 7*y**3 + 6*y**2 - 22. Let j(u) = -d(u) + 6*x(u). Differentiate j(n) wrt n.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 9:44 PM?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200033301 - 302300?\nAnswer: 133131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221\/3 + -73. Let h be (-16)\/(-72)*(-6)\/(-10). Sort h, s, 0.4 in decreasing order.\nAnswer: s, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*j**3*w**2 - 360*j**3*w - 2*j**2*w**2 - 2*j*w**2 + 2180*j*w - j - w**2 + 21 wrt j?\nAnswer: 162*j*w**2 - 2160*j*w - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 3*h, g - 1237*h + 15 = -1233*h. Let y be ((-55)\/(-4))\/((-2)\/(-8)). What is the highest common divisor of g and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose -3*b + 1186 = g, -a*b - 132 + 1303 = 4*g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6310 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 + 5*t. Let a(r) = -r**2 - r. Let h(m) = 4*a(m) + d(m). Let l be h(3). Let g(n) = n**2 - 2*n + 2. Does 3 divide g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.85 + -0.15. Let n = 6 + r. Which is the nearest to -0.3? (a) n (b) 2\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*l - 66, -l = -h + 3*h - 71. Let x(t) = 5 + 5*t + 10 + 15. Calculate the remainder when x(9) is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1062055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -116 + 4\/((-4)\/1). List the prime factors of (-1 - r\/(-6))\/((-8)\/80).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1 + -8)*1. Let x(v) = -v**2 - 7*v + 8. Let o be x(m). Let u(s) = -s**3 + 9*s**2 - 7*s - 6. Give u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 + 36*b + 42. Let j(s) = 2*s**2 - 6*s - 7. Let t(n) = -6*j(n) - l(n). Let q(u) be the third derivative of -u**5\/20 - u**2. Give t(q(a)).\nAnswer: -162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 + 228 - 9*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 88. Let j(a) = -a**3 + 7*a**2 - a + 9. Let m be j(7). Suppose -m*g - 10 = -34. Calculate the lowest common multiple of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -116 + 104. Suppose -4*p = -z - 4*z + 705, 0 = -r*z - 4*p + 455. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 431*z**3 + 2*z**2 + z. Let o be a(-3). Let k = 21622 + o. What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 140, 269, 400, 533, 668, 805?\n\"Answer: x**2 + 126*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1872) - -2*sqrt(1872)*-5)*-4)**2 - (-3 + ((1 + sqrt(1872))**2 - sqrt(1872)) - (sqrt(1872) + 4*sqrt(1872)*-6)).\nAnswer: 2304*sqrt(13) + 2424251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)**(-10)*t\/(t\/(t\/(t*t\/t**(3\/8)))*t)*t*t**(-2\/3))\/((t**1\/t*t)**(-19)*t*t**(-4)*t**(-2\/7)) assuming t is positive.\nAnswer: t**(167\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18732\/98343*1365\/(-2).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -112399.3 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131301005.\nAnswer: 5, 426260201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 14. Suppose -3*m + 3*i = i - b, -5*m + i = -30. Suppose -m*v = 2*v - 168. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 11, 9, 9?\n\"Answer: k**2 - 7*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -10) + -13 + 10 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23988657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-7)\/(-84)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d = -54*d - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 191*q**2 - 359*q + 357. Calculate the remainder when f(1) is divided by 163.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -15. Let d = 17 + l. Which is the smallest value? (a) d (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from {x: 7, f: 1, v: 1, n: 4, p: 3, r: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(30)*-1*2)\/((-1*sqrt(66)*-5)\/sqrt(11)).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-2 - (-16 - -2) - (409 - 409))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 70 + 23. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -94. Suppose -z = -9*k - 13. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3358, 6708, 10058, 13408, 16758?\n\"Answer: 3350*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*x + 9 - 2, 0 = -3*p + 4*x + 21. Let k = 18 + -3. Let v(c) = c**2 - 12*c + 4. Let y be v(k). Calculate the greatest common factor of p and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9)\/(p**(-31)\/p) assuming p is positive.\nAnswer: p**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 48 = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 6*g + 1. Let a be d(7). Let f(h) be the first derivative of 7*h**2\/2 - 3*h - 144. Let t(b) = 20*b - 8. Give a*t(n) + 17*f(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - 4) + 1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1\/30*a**5 + 0*a + 0*a**3 + 49*a**2 - 5\/12*a**4 + 0. Determine d, given that j(d) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + 80. Suppose z = -9*h - 11. Let p be 1\/((170\/12)\/(-5) - h). Let i(f) = f**3 - 7*f**2 + 4*f. Calculate i(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1539) - sqrt(1539)) + -5)**2.\nAnswer: 270*sqrt(19) + 13876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*z + 204*z - 3*v, 0 = -3*z - 5*v + 16. Put -21, -16, z in descending order.\nAnswer: z, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*y + 110*y + 1177 - 87*y to the form t*y + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -63*m**2 - 78*m**2 + 128*m**2. Let t(l) = -l. Determine t(s(u)).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 6*p**6\/5 + 6*p**5 + 13*p**4\/3 - 40*p**3\/3 + 8*p**2 - 57*p - 20. Let a(k) be the first derivative of b(k). Factor a(x).\nAnswer: 4*(x + 2)**2*(3*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let o be 2\/3*42\/(-14). Let p(d) = -d**2 - 6*d - 5. Let n be p(o). Solve b = -6*f + 2*f - 4, 0 = -n*y + f + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14081884 and 4012?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49144 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2790 = 3*r - r - 4*g, -5570 = -4*r + 3*g. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boll when four letters picked without replacement from lhlqboolqoqbqobhohh?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 69, 102, 157, 240, 357?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 0*a**3 + a**3 + 4*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + 222\/(-7) - (-96)\/7) + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 102.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o**2 + 44*o - 10. Let b(t) = 7*t**2 - 15*t + 3. Let u(x) = 17*b(x) + 6*z(x). Let c be u(7). Factor -4*g**2 + 4 + g + 2*g + c*g**2 - 2.\nAnswer: (g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 3, b: 6, w: 7}. What is prob of picking 3 b?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 22*q**2 + 17*q + 413. What is y(-22)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 6 + 11*i)*(2*i - i - 2*i).\nAnswer: -11*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 2*b**2 + 0*b**2)*(-87 + 7*b + 87)*(9 - 9 + 4*b) to the form c*b**2 + r*b**4 + s*b**3 + y*b + i and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) 4 (c) -0.04 (d) -1\/3 (e) 3 (f) 0.09 (g) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 + 4*g - 3. Let q be n(-4). Let d be 5 + (q - 0\/3). Suppose -v - 1 = -d*v. What is the lowest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91387 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/12*140\/21\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224729?\nAnswer: 224729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/7, 2\/27, 1\/4, -11.7, 69, -17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from hxxxxrrrhxh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) -0.5 (d) -4 (e) -7\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) -6\/7 (c) -3\/2 (d) 17 (e) 130 (f) 3.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -90. Let w(k) be the first derivative of 3*k - 3*k**3 + 29*k + q - 8. Find the first derivative of w(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + x**2 + 11*x + 14. Let m be q(-2). Let w be (1\/(-1))\/((-10)\/40). Suppose k = w*k - 30. Calculate the greatest common divisor of m and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 746945.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 12*q - 1. Calculate s(-15).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57374, -57549, -57840, -58247?\nAnswer: -58770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -25 + (69 - 14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:37 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 3*w = 21, -2*y = 3*w - 29. Let r(a) = -4227*a**2 + 12650*a**2 + 12 - 4187*a**2 - 2*a - 4235*a**2 - 9*a. Give r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - b**2 - 4 + (17*b - 11*b - 3*b)*(-5*b + 4*b - b) as d*b**2 + w*b + c and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {f: 2, q: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-5 - 1 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 7*v - 5*v + 2)*(-v - 1 - 34*v**2 + 57*v**2 - v).\nAnswer: -115*v**3 + 56*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = -12. Suppose -5*s = -f*s + 16. Is 8 a factor of s\/(-2*2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - (-47 - -39)) + 68?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 - 952 = -75*s. Let f = -251 + 469. Calculate the lowest common multiple of s and f.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*d - 30 - 0, -4*f = 3*d + 44. Suppose -7*y + 0*y = 91. Let w = d - y. Solve w = k, -2*z + 8 = z + k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 (base 12) in base 9?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207347343 to the power of 1\/2, to the nearest integer?\nAnswer: 46982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t = 47 + 1813 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20685*l - 30198*l + 16117*l as t*l + i and give t.\nAnswer: 6604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s - 2. Let g(q) = -184*q**3 + 23*q**2 + 23*q - 46. Determine -46*c(l) + 2*g(l).\nAnswer: -368*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -722.7, 3, -3, -0.5 in decreasing order.\nAnswer: 3, -0.5, -3, -722.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 1.36 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j - w + 135, 0 = 3*j - 5*w - 429. What is the highest common divisor of 782 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzllzl. What is prob of picking 1 z and 3 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 40)\/(6\/(-4)) - 4. Suppose -16 = -4*m + w. Solve 3*s - 23 = 2*s + 5*a, 0 = s + 3*a + m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1107 and 2214?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-8)*(-1 - 0). Suppose v + 15 = 5*i + 2*v, -i + 3 = 4*v. Solve u = 5*z - 0 - 10, 11 = n + i*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -542, -1275, -2326, -3701, -5406, -7447?\nAnswer: -9830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58346307 divided by 57371.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 7 = 2*y + 17, 0 = d - 5*y - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**6 + 583*n**3 - 154*n**2 + 138 wrt n.\nAnswer: -960*n**3 + 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 - 3452800*b - 1490228480000 = 0.\nAnswer: -863200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*f - l - 12, 0 = -5*l. Suppose -3*o = -5*o + f*o. Let k be (-70)\/(-8) + (-2)\/(-8). Solve 4*d - d - k = o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + j + 3572 = 0. Let r = -180 - j. Let s(f) = -f**3 + 8*f**2 + 4. Give s(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 77304750 divided by -3092190\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-4*(-1749)\/636. Solve -4*q - n = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78669 and 48?\nAnswer: 1258704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 + 1.4. Let w be (2\/1)\/2 + 2. What is the second biggest value in -3, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i. Let p be n(1). Suppose 5*d + 3*j - 21 = 0, -3*d - j - p*j + 15 = 0. Suppose 31 = l + 3*z, 3*l - d*z - 66 = 27. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 18*s**2 + 16*s - 12. Let h be q(-17). Suppose -4*f + 4 = 0, 3 = -d - f + 5. Solve h*o = -25, -x = o - 0 + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82169*p**2 - 41131*p**2 - 560 + 560 - 41045*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 5*n**2 + 7*n + 1. Let v be t(5). Let a be (-1)\/((2601\/27)\/17 - ((-10)\/(-3))\/5). Put v, 5, a in increasing order.\nAnswer: v, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120 (base 5) in base 16?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 27*h**2 - 4*h - 63. What is the tens digit of f(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136589929 is divided by 148.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.513751 to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 28 = 2*o. Suppose 1 + o = -4*t. Which is the closest to -2? (a) -0.1 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 = -4. Sort -5, 3, q in ascending order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/8 and -25\/74143604?\nAnswer: 148287208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2. Let a(j) = 14*j**2. Determine a(u(z)).\nAnswer: 224*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19*l. Suppose 3*p - 30 = 8*p. Let v(h) = -5*h. Give p*o(w) - 22*v(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 89 = 11. Let y(w) = -w**2 - 4*w + 8. Calculate y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 10 = 8*n. Let m be 4*(-3 + n) - -9. Suppose -3*s + m*c = -317 - 574, 0 = -3*c. Calculate the highest common factor of 33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1286592330 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(30\/9 + -3). Solve -4*d - d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 51 - 2*8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 446318 + -305161. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m. Let j(r) = r**3 - r + 620000. Let f be j(m). Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6285, 5187, 4111, 3069, 2073, 1135, 267, -519?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*n + 419, -3*z + 18*n - 19*n = -1208. Suppose 17 - 2 = c. Calculate the greatest common divisor of c and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -10, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3. Let w(l) = -141*l - 12. Let c(v) = -4*k(v) + w(v). Let h(d) = -8*d. Give c(h(z)).\nAnswer: 1128*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f - 5*j = 7, -2*j - 2 = 0. Put -2, 0, 11, f, 7 in ascending order.\nAnswer: -2, f, 0, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5 - 4?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -303, -291, -277, -261?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 6*w**2 + 5*w**2 + 4 + 7.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 17*w + 23, -45*w - 17 = 2*t - 48*w for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*s + 225*s = -9*s + 10464 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let q(w) = w**2 + 2*w + 2. Let x be q(0). Let k(p) = 9*p**2 + p**2 - 5*p**2 - 3*p**x. Give c(k(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 49. Let g be 37 + (-20102)\/(-115) + (-2)\/10*-1. Calculate the greatest common divisor of g and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 473*c + 520*c + 484*c + 513*c - 2045*c + 198. Determine w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6182 (base 9) to base 6.\nAnswer: 32545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 6. Let n be o(2). Suppose -12 = -3*q, 0 = -4*b + 89*q - 84*q - 7580. What are the prime factors of (-6)\/2 + b\/n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -345, -515, -685?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7738*s**2 - 583*s - 583. Let o(b) = -53*b**2 - 4*b - 4. Give 4*f(n) - 583*o(n).\nAnswer: -53*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97028?\nAnswer: 2, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8608\/(-5380)*(-20)\/(-44).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -59 - -68 - 68) + 34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1701329 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812757 at most 16314811\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 9. Let a be (1 + 2)\/(3\/5). Calculate the remainder when n(a) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.1025 (c) 3 (d) -2 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622, 645, 2912, 5179, 7446?\nAnswer: 9713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54, 66, 94, 144, 222, 334, 486?\n\"Answer: s**3 + 2*s**2 - s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3. Let h(d) = 57*d**3 - 2. Give 5*g(f) + h(f).\nAnswer: 52*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -0.031 (b) 121 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = -168. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-44)\/12 + -3 + 6). Solve -2*u - r*i + 24 = 0, 7 = 5*u - i + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a - 35 = 0. Let f(c) = 6*c**2 + c - 3. Does 24 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 7 = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/645 and 7\/39.\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030456 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3\/8)*o)\/o**(-2\/11))\/(o\/o**(2\/3)*o*o**3))**(2\/69) assuming o is positive.\nAnswer: o**(-29\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1. Let i(s) = -3. Let f(z) = -6*d(z) - 3*i(z). Let k(l) = -l + 3. Suppose 0 = -4*o + 2*o + 6. What is o*f(j) - 3*k(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3606312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.762 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-24)\/(l\/l**27)*(l**16)**(-2\/15) assuming l is positive.\nAnswer: l**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -s + 5*d + 4, 0 = 2*s - d + 6. Let u = 12 + -16. Let p = -0.05 - 0.35. What is the closest to s in -0.2, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.1 (b) 0.05 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264548, 264515, 264446, 264323, 264128, 263843?\nAnswer: 263450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -282 (b) 0 (c) 352 (d) -29 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 9*k**2 + 8*k - 65. Let g be z(9). Let n = 2 - 0. What is the third derivative of -3*r**3 - 62*r**4 + g*r**n + 3*r**3 + 57*r**4 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-16 - (-28 - -10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 y when three letters picked without replacement from {z: 1, f: 1, y: 1, a: 4, p: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -527 + 2234. Suppose -2*q = 5*z - 23406, -2*z + 4*q + 3583 = -5789. Let v = g + z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 152\/(-1560) - 2*(-7)\/(105\/(-6)) and -2 + 1 - 10\/16.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 393\/5 - 79. Let f = 0.4 + -0.5. Are b and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 85*t + 1468159 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.33 (b) -1\/3 (c) 3 (d) -0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/4 + f**3\/3 + 3*f**2 + 24*f - 48. What is the units digit of d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s + 4*s - 2*s)*(2*s - 20*s + 0*s).\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -79195 (base 12) in base 4?\nAnswer: -213103001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - 17*a + 143*a**2.\nAnswer: 143*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(((r\/((r\/(r*r**(-1)))\/r))\/r)\/r)\/r*r)**(-44)*(r**1)**(5\/12))**(-48) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 11:32 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29256 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - -8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, -49, -183, -355, -565, -813?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 - 3*m - 2*m**2 + 2*m**2 + (1 + 1 - 1)*(-m**3 + m**3 + m**5) + m**5 - 4*m**5 + m**5 - 2*m**5 - m**5 + m**5 + 0*m**5 - 3*m**5 - m**5.\nAnswer: -9*m**5 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 3*u - 5*u + (u + 3*u - 5*u)*(-2 - 4 + 4) + 515*u + 1935957 - 1935957.\nAnswer: 509*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5897 - -5908. Put 4\/7, t, -0.5, 0.4, 5 in ascending order.\nAnswer: -0.5, 0.4, 4\/7, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**2 - 2*i - 3. Calculate o(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 485583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110003 + 20221?\nAnswer: 3130230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/82728 and 62\/1041?\nAnswer: 28706616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/15 + (10 - -18)\/(-7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37338 rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/(p**(-17)*p))\/p**5 assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p. Let k be (2 - (-2 - 0)) + p. Solve -k*r + 3*r + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2 - 18*b - b**3 + 5 + 17*b. Let v be i(0). Suppose -4*g + z = -5022, -v*g = z + 255 - 4018. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 26*f**2\/3 + 140*f\/3 - 392\/3.\nAnswer: (f - 2)*(f + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-33)\/6) + 160604\/22. Round t to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + 324. Let z = 380087705.999482 - 380088105. Let s = y + z. What is s rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32245084 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 11*l - 3. Give s(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, 14, 4 in increasing order.\nAnswer: -5, 0, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68297 by -5.\nAnswer: 68297\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 0)*34*(4 - 3).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/(m\/((m\/(m*m\/(m**(-3\/4)\/m)))\/m*m)))**(-26))**(12\/17))**(2\/25) assuming m is positive.\nAnswer: m**(468\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -23. Calculate the remainder when 11 is divided by 42\/18 + h\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**5 + 4*s**5 - 2*s**5 + (4*s**4 - 4*s**4 - s**4)*(0*s + 18*s - 6*s).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l. Let h(j) = 9*j. Let t be h(1). Suppose -5*v + t = -2*v. Let w(b) = v*b + 0*b - b. Determine f(w(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 1*sqrt(119) - sqrt(119))*-4*-6)\/(sqrt(7)*2*5 - (sqrt(7) + (sqrt(7) + 1*sqrt(7) + sqrt(7))*2)) + 2.\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p - 5*p + 13*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.042 (b) -1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**8))**21)**(-41))**(-2\/13) assuming w is positive.\nAnswer: w**(13776\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1176*l**5 - 96*l?\nAnswer: 23520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 7*l**2 - 6*l + 7. Let z be q(6). Let a = 41 - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-9)*21\/14*(-135273)\/(-4711)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + (-34)\/(-66). Let s = 0 + -1. Let h = 0.7 + s. What is the smallest value in m, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-2043)\/((-9)\/3). Suppose -3*j = -b + 43. Is (j - (4 - 1))*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683053635.\nAnswer: 5, 17, 23, 89, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103813946.\nAnswer: 2, 3331, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 - -151. Let w be ((-3)\/(-12))\/(z\/(-8)). Solve -3*k + 4*k = -3*g - 5, -k = -w*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 0)\/(6*6\/(-108)). Let l be y*(3 + (-58)\/12). Calculate the highest common divisor of l and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230 + -12?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755 is divided by 786?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 18*d + 602. Determine q(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -207966*c**3 + 10*c**2 + 41*c + 35. Is w(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(162) - (2 + sqrt(162))) - (-3 + sqrt(288))*-6)**2.\nAnswer: -1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + d**3 - 19*d**3)*(50*d + 57*d - 21*d).\nAnswer: -1462*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -698, -3, 3, -2, 4\/19, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 126 + 30. What is the smallest common multiple of b and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40945, 40905, 40839, 40747, 40629, 40485, 40315?\n\"Answer: -13*z**2 - z + 40959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 243?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-1 + 1)) + 7\/(-3). Suppose -5*q + 1 - 21 = 0. Which is the nearest to -1? (a) -1 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13268891 is divided by 419?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 603343 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 154.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44545042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 15, -48, -625?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.43111 - -0.06889. Sort -17\/366, t, 4.\nAnswer: -17\/366, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 6. Let g be r(-7). Let p(s) = 7*s**2 + 1. Determine p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:25 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -7349\nAnswer: 14698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -j + z, 5*z = 20. Solve -5*y + 6 - 16 = j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*c**4 + 2*c + 227 wrt c.\nAnswer: 68*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 15 - 9 - 23) + -7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1646*o + 17. Is i(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 - 230. Let q = -2.4 - -2.3. Put 3\/11, t, q in descending order.\nAnswer: t, 3\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*c - 2*f, 8*f = 4*c - 9 + 1. Solve 3*h - 2*i = c, h + i = -0*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55290182399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2\/16 + (-151)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -1 (b) -8 (c) 3 (d) -0.739 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - 1403\/(-161). Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-108))\/(21\/(-44)) + (-9)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 740071146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 21.6. Let d = f - -0.232. What is d rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6170 - -6750.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2717288798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 8049 + 8049.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -78, -80, -82?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4184 - 6399. Which is smaller: -10582 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-3*5\/(-3). Let l be ((-9)\/6)\/((-18)\/f). What is the third biggest value in -1, l, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -122404?\nAnswer: -122411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15904 and 473641?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55583 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (2 - (-12)\/3). Let f be (-2 + v + -4)\/(-1). Let d(p) = p**2 + p + p**2 - 4*p - 3*p**2 - f. Calculate d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 2*w**3 - w**3 - 30*w**3 - 24*w**3 + 19*w**3 + (w - w + w)*(-2 + 2*w**2 + 2).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s**2 + 2*s + 20. Let b be r(4). Let v = b - -212. Solve -2*y + 4 = -v*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 6 + 14. Solve 2*s = -t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/127224 and -73\/474.\nAnswer: 10050696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.6, -177.3, -0.04, -0.12?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, -54 in increasing order.\nAnswer: -54, -19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -4 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 2*p. Let m be o(-3). Let v = 203\/3 + -67. What is the closest to 15 in m, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 11*o + 32. Let s be m(7). Sort 12, s, -2.\nAnswer: -2, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35468 + -35467.6. Sort -7, -1, 14\/29, -1\/2, j in increasing order.\nAnswer: -7, -1, -1\/2, j, 14\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -0.08\nAnswer: 60.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.94. Let d = r - 1. Let n = -8\/25 - -49\/75. Which is the closest to n? (a) 0.3 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 23. Let o = 13 - w. Let q = 26 + o. What is the highest common factor of 63 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 8976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 234 = 5*b - 11, 287 = 5*m + 2*b. Let f = m - 34. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 47645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 + 0 + (3 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -34*((-9)\/2 + 3). Suppose 0 = -3*i + 3*t + j, -4*i = i - t - 93. Let s = i - 15. Solve -s + 0 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 51*w**2 - w. Let h(g) = 2*g**3 + 153*g**2 + 7731*g + 5171. Let z(x) = -h(x) + 3*r(x). Differentiate z(b) wrt b.\nAnswer: -6*b**2 - 7734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3 - 12*i**2 + 10*i + 24 = 0 for i.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 + -2063\/12. Let l(r) be the first derivative of 1\/4*r**2 - 1\/4*r - 1 - w*r**3. Let l(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/6963465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*((-5)\/(-6))\/((-200)\/(-160)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - g**2 + 4*g - 428. Let l be h(0). Let q = 423 + l. Which is the biggest value? (a) q (b) -2\/15 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -225733.\nAnswer: 3\/225733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5, 3114, -22, 1\/7, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 443, 454, 481, 530, 607, 718, 869?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -466 - -574. Is 51 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4401 and 2916.\nAnswer: 475308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25651171 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 451541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158.6023 + -0.2977. Let y = -159 - p. Is 16 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127834451.9999942 - -127834440. Let k = m + 12. What is k rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4496046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-15))\/((-1)\/840). Calculate the highest common factor of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3 - (-1503)\/498). Is y*(105\/(-4))\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllclcl.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2 - (-13 - -7). Let l be 36\/15 - o\/10. Solve -l*d - 3 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 9*z + 954. Let t = 351 + z. Find the common denominator of 0 - t\/(-45) - -3 and 25\/57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0098 + 0.451939.\nAnswer: 0.442139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-65 + 89)) + -4 + 20?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 + 154*j**3\/3 + 3430*j**2\/3 + 17150*j\/3.\nAnswer: 2*j*(j + 7)*(j + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35c510 (base 13) to base 8.\nAnswer: 4713502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/69? (a) -3\/5 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -49. Suppose -5*w + 94 = -0*u + 2*u, u + 4*w - o = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 23 = -4*v, -4*k + 3*v - v = -22. Solve k*i - 18 = -3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or -36664162?\nAnswer: -36664162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 13. Suppose 114 = -16*j + 178. Suppose -m + l + 7 = -0, -j*m = l - f. Solve -5*g - 4 - 1 = 5*b, -b = m*g + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-3)*(-2)\/(-5). Suppose u*g - 2*i - 28 = -0*i, 5*i = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 - 11417045*r\/4 + 3805681\/2.\nAnswer: (r - 3805681)*(3*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254 - 254.000000548. 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: Solve -5*f = 119*o - 117*o + 46, -14*o + 10*f = -13*o - 102 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ksvskevekekks?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555, 1588, 3653, 7308, 13111, 21620, 33393, 48988?\nAnswer: 68963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40108 or 200544\/5?\nAnswer: 200544\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115669*b**2*f - 15049*b**2 - 2*b*f - 12*b with respect to f.\nAnswer: -115669*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7577615 and 8380?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23467938, -23467937, -23467936, -23467935?\n\"Answer: h - 23467939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + (28 - -6 - 34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.675 and 0.2205.\nAnswer: -1.9128375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7755 is divided by 2572.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 4, 0 in descending order.\nAnswer: 161, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1669852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -881605?\nAnswer: -881617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 697190 and -48 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 42. Suppose 5*u - 4*w - c = 15, -5*u - 3*w + 85 = 0. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.450839 to 0 dps.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 + 21*s**2 + 17*s + 16. Let v(k) = k**3 + k**2 - 1. Let j(z) = q(z) - 4*v(z). Let o be j(-16). Factor -p**o - 4*p - 4*p + 5*p + p + 1 + 2*p**3.\nAnswer: -(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Suppose 0*j = j - 4, -12 = -z*v - 3*j. Which is the closest to v? (a) 1\/9 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -2\/19 (c) 1143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2469 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28264782 rounded to the nearest 10000?\nAnswer: 28260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 1309 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:58 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -48881 divided by 1?\nAnswer: -48881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 + 3*m + 2. Let t = -69 - -59. Let v be (2 - (-2)\/t)*30\/9. Let j(b) = 9*b**2 - 6*b - 3. Let p(r) = v*j(r) + 11*c(r). Determine p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/(80\/((-390000)\/(-4095)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244*p + 2491*p - 1253*p = 312 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*o - o + 31, 1 = -o. Let u(s) be the first derivative of -s**2\/2 + 10*s - 2. Let d be u(r). Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/3, -1, -3\/5, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17)*-1*3 - sqrt(68)\/(sqrt(4)*-2))**2*-3.\nAnswer: -3825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 18 + 7, n - 3*q = 20. Solve -4*v + 3*f - n = 6*f, 2*v = -4*f + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-4*t**3 - t**3 + 0*t**3).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 5, n: 4, e: 3, a: 1, p: 3}. Give prob of picking 1 a and 1 m.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 75?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + -175. What is the least common multiple of b and 1380?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204533*k**5 + 15311*k**2 - 5*k.\nAnswer: 12271980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(539) + 4) + 4 + ((-1*sqrt(121)*5)\/(sqrt(396) + sqrt(396)*2 + sqrt(396)))**2.\nAnswer: 14099\/576 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11801167?\nAnswer: 7, 1685881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(30\/345) - -557. What is the greatest common divisor of 258 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2376 = 540*a - 243*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from upiziwkzzkizzk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (10\/35 - (-47650)\/105). Let k = 457 + x. Which is the closest to -1\/5? (a) k (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 9*o - 102. Suppose -2*w - 4*b + 22 = 0, -4*b = -5*w - b - o. Solve 5*n + 3 = f, -3*n - w = -5*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 647986 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326556*x**3 + 326553*x**3 - 653116*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*m**3 - 18*m**3 - 21*m**2 + 32*m**2 - m**3 + 2*m**3 - 4*m**3 + (5*m - 5*m + 2*m)*(4*m**2 - 3*m**2 + 3*m**2) + 0*m**2 + 0*m**2 - m**3.\nAnswer: 5*m**3 + 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/9 and ((-7)\/(-280))\/(1 + 317\/(-314))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -5 (c) 351 (d) 101.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45412 + -1?\nAnswer: -45413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + n**3 + 151*n**2 - 51*n + 12*n - 40*n - 148*n**2 in the form v + p*n**3 + r*n**2 + l*n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47285817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2*5 - sqrt(190))\/(-2*(sqrt(20)\/sqrt(2) + sqrt(10))) + -2.\nAnswer: -9*sqrt(19)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**8\/6720 + p**6\/240 + 2*p**5\/15 + 9*p**2. Let r(u) be the third derivative of w(u). What is the derivative of r(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1132 + 5851*p**3 - 2925*p**3 - 2925*p**3 + 116*p**2 wrt p?\nAnswer: 3*p**2 + 232*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 0, -106\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -77. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from bfbibbrz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 3*z + 4*h + 241, -2*z = -4*h - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*4\/(-24)*-6*-14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212396524 to the power of 1\/2, to the nearest integer?\nAnswer: 14574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*r - 17, -5*r - 4 = -2*n - 3*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5190 and 6920.\nAnswer: 20760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 6:12 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*c + 10*c = 41351, 0 = 3*x - 2*c - 24785. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.264 times 10.6?\nAnswer: -257.1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6336026, 6336016, 6335998, 6335972, 6335938?\n\"Answer: -4*x**2 + 2*x + 6336028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from cggcccgcgcggg?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.8687*3.71\nAnswer: -3.222877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a + f = -33, -3*a - f = -27. Suppose 2*b - a = 4. Let d(w) = w - 1. Let r(s) = -2*s + 2. Let z(y) = b*d(y) + 3*r(y). What is z(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3634 and 1580?\nAnswer: 36340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -10.4012614\nAnswer: -0.52006307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-132)\/(-110) + 8\/(-10). Let x = 120 - 120.163. Let k = -0.17 - x. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 8. What is the smallest common multiple of m(-7) and (135\/5)\/(1 - (9 + -9))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - d + 114. Suppose g + d - 22 = 0. Solve 2*p - 15 = 3*p + g*h, 1 = 5*p - 4*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 6*a**2 + 4*a**3 + 12*a - 5*a**3 - 8 + a**3.\nAnswer: (a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 + 61. Let t = -38.3 - o. Let n = t - -0.3. Which is the nearest to n? (a) -5 (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = -3*v - 3*v. Let x be ((-81)\/v)\/((-3)\/8). Let u = 0.1 - 0.2. Put u, -5, x in increasing order.\nAnswer: -5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*w + 2, 4*k - 10 = 2*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 6188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5\/6 + 5515*n**4 + 33092*n**3\/3.\nAnswer: -n**3*(n - 33092)*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8.85+0.8\nAnswer: 9.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m - 8. Let w be c(2). Suppose -4*z = 4*v - w, 5*z + 0*z = v + 15. Solve -z*o + a = 7, 0*o - 4*o + 3*a = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110212011001001 + -11?\nAnswer: 110212011000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 856216.7kg in nanograms?\nAnswer: 856216700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -v*h = 3*h. Solve h = -2*m + 3 + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -638 + 615 - (-2 + -30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 52*u**2 + 54*u. Let z be b(-27). Suppose -l + 6 - 2 = 0. Suppose -3*d + l*c - 4 = z, 0 = -d + c - 0*c. Solve -2*x = -2 - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5 = -v, -287*v = -2*o - 285*v + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*z - 3*d**3 + 2*d**2*z + 5305*d**2 - 105*d*z + 679*z - 7 wrt z.\nAnswer: 4*d**3 + 2*d**2 - 105*d + 679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 73*b - 11*b - 54*b + 4.\nAnswer: -118*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/19*5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*x - 51, -2*n + 157 = -0*n + 5*x. What is the remainder when 262 is divided by n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 0*v - 4*v. Let x be (6\/(-4))\/(2\/8). Is 6 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77112 divided by -476.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**(2\/5)*g))**(16\/5)*g**(-1\/8)*g\/(g**(7\/3)*g))**(-9))**(-45) assuming g is positive.\nAnswer: g**(-164241\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/5)*s**(-2\/21))\/(s**(-1))**(-20)*s\/(s**(-2\/3)*s)*(s**(-1\/9)*s)\/s*s*s**(-2\/3)*s\/(((s\/(s\/(s\/(s*s**3))))\/s*s)\/s) assuming s is positive.\nAnswer: s**(-3971\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 5*p - 5. Suppose -3*o - 27 = -4*j - 0*o, 0 = 3*j + 2*o + 1. Let f be 4 + -2 + 6\/j. What is b(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = o - 8, o - 31 = 5*o - 5*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o**2 - 9*o + 20. Let d be u(5). Let h = d + 659. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 a factor of 98938704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 m when three letters picked without replacement from {g: 1, e: 1, m: 1, p: 1, l: 1, q: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 - 1. Let l = 5 + -1. Suppose -l*c + f = -f - 10, 0 = -c + 4*f - 1. Solve 5*w = 5*y - 30, 0*y + c = y + z*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2945 - 4*q - 1506 - 1433.\nAnswer: -4*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**2*k**2 + g**2*r + 7*g*k**2*r + 13*k**2*r - 237*r wrt k?\nAnswer: -6*g**2*k + 14*g*k*r + 26*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391\/7 - -56. Put 2\/9, d, 4 in descending order.\nAnswer: 4, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from vwbvvvvvvvbbvvv?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9 less than 0.03?\nAnswer: 21.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 5*y + 8. Let f be v(-6). Let t = -3557771\/6 - -592966. Determine u so that t*u - 5\/6*u**f - 5\/6*u**3 - 5\/2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 9*a**2 + 8*a + 6. Let m(s) = -s**3 - 10*s**2 - 15*s + 16. Let k be m(-8). Determine p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s - 24*s + 46*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*b + 3)*(-3 - 1 + 2) + b - b - 2*b + (1 + 3 - 5)*(-b + 0 + 0) + 4*b - b + 3*b)*(2*b + 14*b - 2*b).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.573352?\nAnswer: -0.286676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-6)*-4*1\/(-36)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8080 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1333\/465 - 3)\/(2\/(-60)). Suppose -4*c + 6 = -2. Solve -8*o**c - 6\/7*o + 4\/7 + 114\/7*o**3 - 8*o**i = 0 for o.\nAnswer: -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*v - 9 = 0, 4*v - 26 = -4*u + 2*u. Suppose u*o - 3*o = 8. Let l = 5 - o. Let g(x) = -x**2. Give g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*d**3 + 71*d + 67*d + 68*d - 205*d + 3 in the form g*d + q*d**2 + y*d**3 + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 151?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1182291*c**2. Let u(s) = -2*s. Determine w(u(y)).\nAnswer: -4729164*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 26*v + 43*v - 57*v + 56 - 59. Calculate w(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i = 126*i - 144 - 1359 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141231 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 98 from 0.12817532.\nAnswer: -97.87182468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -6. Let d(q) = -16*q - 2. Let b be d(k). Suppose -3*h + 31 = -b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 75 = -5. Let o = 18 - s. Suppose o*k - 3*k - t - 22 = 0, -5*k + 3*t = -116. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 - -85. Let q be (-8)\/(-10)*55\/(-2). Let s = q - d. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = 2*l + 25, -3*s + 4 = 5*l. Let v be (-4)\/(16\/(-12)) + -7. Let z = v - s. Solve 2*n - 9 = -z*r - n, -15 = -r + 5*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*z**4 + (-4*z + 0*z + 3*z)*(-5*z**3 + 4*z**3 + 3*z**3) + 5*z**2 + 3*z**4 - 5*z**2 - 11*z**3 + 11*z**3 - 11*z**4.\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13965 and 1890?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 207021858 and 10522.\nAnswer: 207032380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1\/(2\/(-2)) + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3789, -3533, -3111, -2523?\n\"Answer: 83*m**2 + 7*m - 3879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/2455, 0.5, -3, 0, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(((-2394)\/(-924))\/19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0*a**4 + 24*a + 0*a**2 + 1\/6*a**6 + 0 + 0*a**5 - 14\/3*a**3. Find the second derivative of i(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 220 - b**2 + 9*b**2 - 96 - 58 + b**3 in the form f*b + a*b**2 + q + p*b**3 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4309652934 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 43*f - 1725. What is the remainder when 622 is divided by g(46)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**3 + 145*i**2 - 107*i + 6. Let q(o) = 10*o**3 - 146*o**2 + 106*o - 9. Let s(d) = -2*q(d) - 3*u(d). What is the second derivative of s(m) wrt m?\nAnswer: 24*m - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000497453 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 - 33*a**2 - 6*a - 18. What is the least common multiple of u(-11) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-102 + 110 + (-13 - -1) - -10) + -15\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 28.000047. What is w rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90636 - 199462 = -62*f. What is f rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 69 = 2*y + 5*q, 3*q = -13*y + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 701349422 to the nearest integer?\nAnswer: 26483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-1096)\/420 - -4. Let d = -8\/15 + g. What is the closest to 0 in 3, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 52 + -8 + (10 - 10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 9*i**2 - 35 + 35 - 6*i**2 + 0*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 49*j**2 - 267*j + 387.\nAnswer: -(j - 43)*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + 32 = 4*w, a - 18 = -5*w. Suppose g + 445 = 6*g. Suppose 5*j + 29 - g = 0. What is the highest common divisor of a and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 10) to base 11\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 20*o**2 + 17*o + 46. What is t(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -119*n. Let o(c) = -519518*c. Calculate h(o(s)).\nAnswer: 61822642*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -2. Let t be (-1585)\/(-15) + (-4)\/6. Calculate the highest common divisor of m and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/2)\/(-17))\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1822852035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5457720925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92b6b91 - -5?\nAnswer: 92b6b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 3, p: 1, q: 2, m: 3}. What is prob of picking 1 p and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z + 334. Let s be j(47). Which is greater: s or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 4. Let d be m(-2). Suppose -d*p = -2*t - 542 - 416, -3*t + 943 = 2*p. Suppose 2*k - 270 = p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 + 15935*l**4 + 222330*l**3 + 698260*l**2 + 634600*l = 0.\nAnswer: -3173, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 14*g**2 - 4*g + 13. Let r be z(-11). Let t be (r\/15)\/6 + 4. Let -24\/5*w**3 + 72\/5*w**2 + t*w**4 + 48\/5 - 96\/5*w = 0. Calculate w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2844 + -400. Is c a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w**2 - 19*w + 3. Let n(z) = -7*z**2 + 10*z - 1. Let j(h) = 3*f(h) + 5*n(h). What is the units digit of j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.044828 and 15.25764456.\nAnswer: 15.30247256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 390 + -387. Suppose -a + 3 = 2*a. Suppose 4*p - f = p + a, -3*p + h*f = -3. Solve -s + p - 1 = b, -4*b = s + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*x + 405. Suppose 0 = 40*z - x*z + 3015. Let f = 1292 - z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 2\/27 (b) 0 (c) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 48?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {g: 5, c: 5, o: 1, k: 1}?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 43*f**2 - 23*f**2 + f - 5064 + 19*f**3 - 6*f**3 + 5065 - 19*f**2. Let b = -3 - -2. Give h(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 635 - 650633?\nAnswer: -646665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 40714.7 to the nearest one hundred.\nAnswer: 40700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((2 + sqrt(7))*-5 - sqrt(7)) - sqrt(7)) + (sqrt(7) - (sqrt(7) + -2 + -2)).\nAnswer: 14 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 1, n: 1, w: 2, x: 4}. Give prob of picking 2 x and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 + 11*y. Let t(j) be the third derivative of -j**5\/15 - j**4\/4 - 49*j**2. Determine -6*s(z) - 11*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809379 bigger than 2809379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.12342 to one dp.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 547 + -171298686160\nAnswer: -171298685613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*p**3 + 163*p**3 - 333*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, q: 2, k: 2, o: 1, u: 1}. Give prob of picking 1 q and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - (53 - 57 - (-2 + -13))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (12\/15 - ((-4494)\/(-280) + -11))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**2 + 17206 + 169*d**2 - 17206.\nAnswer: 125*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1102 + -1101. Are y and 3\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 319 - 120?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -301*v**2 - 3589*v + 152. Give g(-12).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6544227255.\nAnswer: 3, 5, 31, 577, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 26 = 6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v = 40*v. Solve 0*t = 3*t - 5*d, -4*d = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32435 (base 7) to base 8\nAnswer: 17657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 3*g + 9. Calculate u(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 - 14092*z - 14380708\/7.\nAnswer: -(z + 146)*(z + 98498)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2)\/(-4)*-10. Suppose -c + j*c - 8 = 0. Let w(z) = 0*z**2 + z**2 - 3 + 4 - z. Determine w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2268 (base 9) to base 7\nAnswer: -4622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 491507, 982204, 1472901, 1963598, 2454295?\n\"Answer: 490697*b + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 7*c**2 + 5*c + 4. Let n be ((-6)\/5)\/(1\/5). Calculate the lowest common multiple of 6 and g(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/134 - 2796\/737. What is the common denominator of p and -151\/1482?\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/720*15*(-3)\/(-54)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*b + 12 = 0, 5*a - 5*b + 7 - 37 = 0. Suppose 4*g = 5*x - 4, 1 = 5*g - 4*x - a. List the prime factors of (30\/g)\/(24\/160).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42047 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(9\/7)*u**5)\/(u**15*u*u*(u\/(u**(-1\/29)*u)*u)\/u))**(1\/22) assuming u is positive.\nAnswer: u**(-1091\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*j**3*t**4 - 14*j**3*t**3 - 2674*j**3 wrt t.\nAnswer: -356*j**3*t**3 - 42*j**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - a30194?\nAnswer: -a3022a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 + 19*r - 17. Let a(n) = -5*n**2 - 10*n + 10. Give -5*a(y) - 3*j(y).\nAnswer: y**2 - 7*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1354 + -13410?\nAnswer: -12067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 790877531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r*t**4 + 6414*r*t + 1248*t**4 - t**3 + 4*t**2 wrt t.\nAnswer: 72*r*t + 29952*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13780202 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43047111?\nAnswer: 3, 17, 844061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2307*x + 19906. Give t(-9).\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 4*p. Let m be c(-4). Let f be 3 - (m + -1 + 2). Suppose 0*q = -2*q. Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 4*z + 4. Let r be j(0). Solve 0*l + 12 = -r*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.72862.\nAnswer: 2.18586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00347470912 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 0, 27\/17, -5, -4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tskuutuukt. Give prob of sequence usuu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + b + 4*b = -340, m = -3*b + 64. Let r = -65 + m. Suppose -p - 220 = -3*a - 5*p, -5*a + r*p + 358 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 + -240. Let u be ((-32)\/48)\/((-1)\/354). Find the third derivative of -237*v**2 + u*v**2 + 7*v**r + 23*v**4 wrt v.\nAnswer: 720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccccdcudfvddfczc. Give prob of picking 1 d, 1 z, and 1 f.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*g + 317 = 331, 5*g = -14*r + 46 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 39, 54, 67, 78, 87, 94?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 8*u**3 + 258 + 222 + 252 - 895 + 243.\nAnswer: -u**3 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b - 14. Let i = 108 - 102. List the prime factors of a(i).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*3*-15*(-1)\/(-9). Solve 0 = x - 2*z, -x = -y*z - 4 - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2.3, 2\/31, -3?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895e5 (base 15) in base 8?\nAnswer: 7353211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 4*v**2\/3 - 56*v - 240.\nAnswer: 2*(v - 10)*(v + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 528712908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 135. Find a, given that -57*a**2 + 2019*a - 2055*a - p*a**2 - 4*a**4 - 44*a**3 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3)*g*g)**(-11\/4)\/(g**(3\/2)*g*g*g\/((g**(-5)*g)\/g))*(g*g**(-2\/7)*g)\/g*g*g*g**(-4\/7)*((g**(-4)\/g)\/g*g)\/(g\/g**(-2\/3)) assuming g is positive.\nAnswer: g**(-675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19953 and 57?\nAnswer: 379107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 13*a**2 + 1\/12*a**5 + 7\/24*a**4 + a + 0 - 5\/6*a**3. Let s(h) = 6*h**2 + 8*h - 6. What is 4*s(q) - 5*x(q)?\nAnswer: -q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.2, -0.116, 1\/3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88181*13.\nAnswer: -1146353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 974329\/70 + -13919. What is the common denominator of c and 23\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 168 = 129*k - 52*k - 1160 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6616274*l + 41 = -6616279*l, g + 2*l + 29 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1816*c - 14532. Let o be p(-8). Put -1904, 0, -5, o, -1 in descending order.\nAnswer: 0, -1, o, -5, -1904","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 581*n + 581*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 364?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 7}. What is prob of sequence pfff?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 312 + -188. Suppose -s = -0*s + g - 24, 5*s + 3*g - t = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + h - 1. Let b be (2\/4)\/(1\/2). Let z be i(b). Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339575 is divided by 169206.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*q + 4. Suppose 11 = 4*j + q. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 3.4. Which is the closest to -1? (a) h (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23 (b) -5 (c) 5 (d) -5744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 0.0397.\nAnswer: -0.02382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 6*y + 8. Let d be f(8). Let s = 217 - d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1972*v + 1971*v + 1 = 3*b, 0 = -3*b - 20*v - 37 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 741?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -149053680 divided by 9?\nAnswer: -16561520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*f**2 - 12*f - 12 wrt f.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-28)*z))**(-25\/6)\/((z*z**38)\/z*z*z*z**(25\/2)*z*z) assuming z is positive.\nAnswer: z**(-526\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4885 by -977.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 2*h + 19241 = 9*t, -2*t + 38467 = -h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15048371.\nAnswer: 13, 23, 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -129368.711 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - i. Let z be w(1). Let a = -1 - -3. Suppose -z*f + 4*y - 16 = 0, 5*f - a*y = -0*f. Solve f*g = 4*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 - -231 - ((-10 - -7 - -1) + 14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 841 = -4*j - 8*j. Solve 0 = 3*v + j*v + 544 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 21 = 3. Let k = p + -37. Let i = k + 35. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - (sqrt(57) - sqrt(57)*-2))\/sqrt(3) + -3*(sqrt(19) + sqrt(19)*2) + 0)*4 + -1 + -3 + (sqrt(152) + sqrt(152)*-2 + sqrt(152))\/sqrt(8) + -3.\nAnswer: -44*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 19545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3835.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10263240 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104202 + 3?\nAnswer: 104210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 108115.3ms in microseconds?\nAnswer: 108115300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*a + 2*v, 0*a + 3*a = 3*v - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, c: 1, m: 1, j: 4, q: 7}. What is prob of picking 4 q?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from {w: 2, d: 15, v: 3}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 97*v + 104*v - 3*v**2 + 8 + 2. What is b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605) + 3 + -1 + sqrt(605)*-3)**2.\nAnswer: -176*sqrt(5) + 9684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40, -69, -98?\n\"Answer: -29*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + p + (5 - 1 - 3)*(-10*p + 4*p + 2*p) + (-5 + 6 + 0)*(2 - 2 + p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k. Let o(j) be the second derivative of -5*j**4\/12 - 25*j**3\/6 - 30*j. Give -25*h(g) - 4*o(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwewwwwewwewewwwww. Give prob of sequence ewww.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 194, 290, 386?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -229, -522, -933, -1462?\n\"Answer: -59*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g**2 - 8*g + 4. Let p be (0 + 1)\/(8\/40). Suppose 0 = -p*d + 7 - 42. What is the units digit of k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + -5?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/21 - (-2)\/7. Let o = -15 + i. Let n = -3 - o. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*m + 2*z = -70*m + 7, 0 = -5*z + 5. Let r = -5 + 3. Which is the nearest to -0.1? (a) -1.3 (b) r (c) -0.2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 276\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/68 and (-6)\/(-16)*874\/95.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/5 - -391 - -4. What is p rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/18 - 2*7. Let a = -68 + 47. Let j = b - a. Calculate the least common multiple of 4 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*i - 306*i - 88 = 4*f, -111*i = 5*f - 106*i + 60 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {i: 1, k: 3, c: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.943 and 0.1669?\nAnswer: -0.4911867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 16*m**2 + m + 12. List the prime factors of y(16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-22)\/44)\/(2\/(-988))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3936 divided by 492?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 3:04 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8) + -1 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u**3 - 618*u**2 + 6*u + 588. Let y(s) = -5*s**3 + 309*s**2 - 3*s - 293. Let a(f) = -8*l(f) - 15*y(f). Find k such that a(k) = 0.\nAnswer: -103, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19160 and 12620692?\nAnswer: 126206920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) -2\/15 (b) 0.1 (c) 2\/17 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0 + 0*m**2 + 9\/10*m**5 + 1\/21*m**7 + 1\/3*m**6 + 7\/6*m**4 + 2\/3*m**3 - 71*m. Factor i(t).\nAnswer: 2*t*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/r**7*r)*r*r)\/(r*r*r**(-15)))\/((r*r**28)\/(r\/((r**26*r)\/r)*r)) assuming r is positive.\nAnswer: r**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d**2 + 785*d - 28. What is the least common multiple of 40 and v(64)?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -505, -504, -503, -502, -501?\n\"Answer: p - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 784692.\nAnswer: 3923460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 divided by -6?\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 2*v**4.\nAnswer: -v**4*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*q**3 - 42*q - 3*q + 289410*q**2 - 289314*q**2.\nAnswer: -3*q*(q - 3)*(9*q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 87007779.\nAnswer: 2\/87007779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/25 - 726\/10. Let o = t + 130. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41552822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {n: 5, s: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00341834 rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(648)*2 + sqrt(648))\/((sqrt(48)*-4)\/sqrt(8) + sqrt(6)) + -2).\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 134310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4442002.\nAnswer: 1\/4442002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23988410?\nAnswer: 2, 5, 43, 55787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -1361?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401476608?\nAnswer: 2, 7, 163, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 22206?\nAnswer: 244266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 = -q + 4, -2*q = 3*k - 29. Suppose -q*l + 43*l = 108. Factor 2*s + 2\/5 + 14\/5*s**2 + 6\/5*s**l.\nAnswer: 2*(s + 1)**2*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/4, -0.3, -48?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = 10. Let g be (0 - -1) + (d - 2). Suppose -26 = -2*h - 4*i, -2*h + 24 + g = 3*i. Solve 4*y - 3*k = h, 0 = y - 4*k - 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhhhhhhhhhahha.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501732 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -3.6. Let y = -1172 + 1171.6. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 * -4\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-14)*-7*2. Are -10\/5537 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*n = -76*n + 2*s + 3, -3*n = -3*s + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x + 25. Give t(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4019, -4022?\nAnswer: -0.4019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 10 + 0)*((-5*t + 4*t - 3*t)*(-6 + 2 + 3) + t - 7*t - t) + 2*t - 6 + 6.\nAnswer: -73*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q - 4*b = -30*q - 5, 3*q - 2*b = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5241 - -5497. Suppose 5*t + 1 = 21. Suppose c + u = t*z - 3*c, 0 = z + 3*c - 56. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33740 = -57*b + 22*b. What are the prime factors of b?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h - 1. Let k(z) be the third derivative of 1\/12*z**4 - 1\/6*z**3 - 12*z**2 + 0*z + 0. Calculate k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(539) + sqrt(539) + (4 + 2*sqrt(539))**2 + -5 + (sqrt(539) - (sqrt(539)*-1 + sqrt(539) - sqrt(539))**2))*-6.\nAnswer: 798*sqrt(11) + 9768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 48, 112, 224, 396, 640, 968, 1392?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7752*w + 4. Let y(s) = 262*s. Calculate l(y(p)).\nAnswer: 2031024*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p + 21*p + 282. Suppose p = 2*g + 43. Suppose 0 = s + 6*u - 2*u - 62, g*u - 292 = -5*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12595419660 + 763685484807133\/60632. Let w = -7\/689 + u. Find the common denominator of w and -87\/14.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710961 is divided by 294.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31779.9942 + 31802. Let w = b - 22. Round w to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37627 = 3*w + 4*m, -4*w + 50182 = m - 2*m. What is the common denominator of -1\/4 and (w\/(-150))\/13 + 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 20, 8, 9, 6, -1 in ascending order.\nAnswer: -2, -1, 3, 6, 8, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166323 is divided by 114015.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 13*g**2 - 17*g + 25. Calculate r(6).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547\/2 + 273. Which is the closest to 2\/9? (a) 2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:58 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/9 and 79\/210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12042, 35122, 69238, 114390?\nAnswer: 170578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2748 divide 428687586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v**3 + 7*v**3 - 22*v**3.\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3721*r = 1855*r + 1870*r - g - 3, 6*r + 3*g = r + 59 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o, 5*o + 0*o = -2*n + 19. Calculate the highest common divisor of n and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + 5264?\nAnswer: 5246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**3 + 14*p**2 - 6*p + 8. Let s(a) = -6*a**3 + 14*a**2 - 6*a + 7. Let b(c) = 6*s(c) - 5*t(c). Let i = 141 - 132. Is b(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 3*a + 3, 5*l = 3*l - a + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 48?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + -2. Let l = m - -8. Let r(d) = 2*d - 4. Let v(f) = -5*f + 5. Let s(i) = -14*i + 15. Let t(y) = 3*s(y) - 8*v(y). Give l*r(c) - 5*t(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -537*k**2 - 9669*k - 37. Calculate c(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - (8 - 21 - (6 - 20)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1551*l - 1472*l + 52 - 94 to the form c + p*l and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 700 by -175.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/(-16) - 14) + 30\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9191 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0 + 5 + z**2 - 5*z - 3. Let v be p(5). Let u(w) = -70*w**2 - 63 + 62 + 68*w**2. What is u(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 19. Suppose -c + 2*o = n, 2*o = -3*o + 20. Suppose -c*k = -3*f - 157, 2*f - 6*f = 2*k - 68. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 8:38 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4701.16 - -4459. What is b rounded to zero dps?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 6, f: 2}. What is prob of picking 2 w and 1 l?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccll. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gasgvszzc. Give prob of sequence cg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a45 (base 16) to base 14\nAnswer: d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14041\/1 - (43 - 33).\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 18*h - 1. Let t be r(1). Suppose -4*s - o = -7*s + t, -23 = -4*s + o. Is 191\/(-2)*(-12)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -225862 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (65 - 68)\/(6\/26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13434315 less than 1.1?\nAnswer: -13434313.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -722300, -1444584, -2166880, -2889194, -3611532, -4333900?\n\"Answer: -w**3 - 722277*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2110 - 1819. Calculate the remainder when t is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - ((27 - 34) + -50).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0.1 (c) 1\/4 (d) -7\/5 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(6*q + 9*q + 0*q)*(-5 - 2 + 3).\nAnswer: 120*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/2 and 10\/(-65) - 0 - -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724933507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x + 8*x + 3*x - 3*f + 10, -3*x + 5*x - 54*f + 89 = -3*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - z**4 - 3*z**4 + 9*z**4 - z**4 - 5*z**4 - 10*z**4 + 2 - 2 + (4 + 2*z**2 - 4)*(-4*z**2 + 2*z**2 + 3*z**2).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2625*z + 18 = -4*f - 2623*z, 16 = -3*f + z for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30553*h - 15267*h - 15240*h + 6118 for h.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 72 = 3*x. What is the closest to 1\/2 in x, -2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 18)*(0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**(-1\/2))\/u)\/u**(-2) assuming u is positive.\nAnswer: u**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.165? (a) -1.1 (b) 0.08 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 5:04 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213230065 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((-15)\/(-1))\/(-3). Suppose -47 = -p*l - 0*g + 3*g, 4*l + 3*g = 65. Let s = -116 - -270. What is the greatest common factor of l and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (79 - 2) + (1 + (-12 - -6) + 8 - 4)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5968707 - 2397.6007.\nAnswer: 5966309.3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4068 divided by -4068\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**2 - 4*a**3 + (-a**2 + 0 + 0)*(-4*a + 6*a - a) + (-3 - 3 + 4)*(-a**3 - 3*a**3 + 2*a**3).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*4\/20 - (-2)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + ((-244)\/126 - -2). What is the nearest to 0.1 in -5, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 + 5*b - 1. Let h be x(-5). Which is smaller: h or 1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14274 - -685175\/48. What is the common denominator of -85\/1476 and u?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 20 + -15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14672*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19378081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in 1\/3753, 3, 1, -130?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -131572618, -263145235, -394717852?\n\"Answer: -131572617*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g**3 + 4 - 2)*(-3 - 5 + 5 - 4*g**2).\nAnswer: 8*g**5 + 6*g**3 - 8*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**42*(b\/b**(-15))\/b**(2\/15) assuming b is positive.\nAnswer: b**(658\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 578, -73, -1 in decreasing order.\nAnswer: 578, 1, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 41*g - 71. What is the units digit of j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -246\nAnswer: 17\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = -2*y - 5*q, 114 + 139 = -2*y + q. Let b = -78 - y. Find the third derivative of b*z**5 - 2*z**2 + 46*z**5 - 56*z**5 - 36*z**2 wrt z.\nAnswer: 2340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 at least as big as 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -452\/188759 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 equal to 487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -14. Suppose 5*t = -5*y + 55, -y = -4*t - 5 + 24. Let u = a - t. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/120*u**5 - 2*u**2 + 0*u + 0*u**3 - 1\/48*u**4 + 0 + 1\/420*u**7 + 1\/240*u**6. Factor w(j).\nAnswer: j*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 21 = 3*v, 4*a - a = -4*v + 22. Suppose 4*s - a - 2 = -2*y, s = -2*y + 8. Let j(f) = f + 21. Determine j(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261074499 to the nearest integer?\nAnswer: 16158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 4*g**2 - 4. Let r = -4 + 0. Is 16 a factor of x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223022\/6 + 48\/(-90)*(-5)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1767 and -2 + 150\/(-54) + 8\/96*-4?\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i - 6*i = -126*i + 816. Put i, -41, 5, 0 in decreasing order.\nAnswer: i, 5, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 42 = f - 4*f, -f + 26 = -4*v. Let p = f - 0. Let b = p - 7. Solve l = b*i - 4*l - 20, 0 = 5*i + 4*l - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3347*6.2.\nAnswer: -20751.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 41*u + 3140. Calculate p(-79).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*p**2 - 7*p**4 + 3*p**2 + 17*p**4 - 8*p**4 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + n - 116 = 4*n, b - n = -28. What is the units digit of ((-20)\/b)\/(3\/(1830\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.9 - 10. Let v = z + -11. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 5, x: 3}. What is prob of picking 1 x and 2 l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 501 and 15207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(-1)*(-43)\/12255*-38?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203 and 51359?\nAnswer: 51359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12)*4 - -2. Suppose -2*l - 80 = -4*m, s*m - 5*m - 4*l + 50 = 0. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/10)\/(s*s*s\/s**(3\/2)*s))**(-29) assuming s is positive.\nAnswer: s**(319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 0.4 (c) -6\/7 (d) 7 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -c. Sort -2, -5, c in increasing order.\nAnswer: -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58\/11 + 610\/99. Find the common denominator of q and -10\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-3)\/1) + (476\/42 - 13).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26597 - -26717. Calculate the remainder when 1916 is divided by l.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061156686 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (192\/160)\/((-3)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (15 - 18) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 83*b - 1732. What is w(-45)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 380 = x - 614, -5*i + 990 = 5*x. Suppose 5*o - 9 = 11, 0 = 3*p + 4*o + 239. Let s = -47 - p. What is the remainder when x is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Suppose -2*k + v + 1 = 7, 0 = -k + 5*v - 21. Sort k, 4, z in increasing order.\nAnswer: k, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 12, -2*g - 114742 = -6*g - 2*r. Let y = -573861\/20 + g. What is the common denominator of y and 53\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 24. Which is the second biggest value? (a) q (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 280 = -62*p + 16*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -42.\nAnswer: -89\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let i(h) = 12*h + 20. Let v(l) = l + 2. Suppose 29 + 131 = -4*x. Let q(n) = x*v(n) + 4*i(n). Calculate q(d(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15257836?\nAnswer: 2, 11, 19, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.06 - 0.06. Let r = 106 - 107. Which is the closest to -1? (a) r (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 62. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:33 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6124 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10641, 10578, 10397, 10038, 9441, 8546, 7293?\n\"Answer: -10*g**3 + g**2 + 4*g + 10646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + -6 - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10479 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8*p + 12. Solve 3*l - v + p*v + 10 = 0, -4*v = 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + d**3 - 14 - 20*d + 20*d.\nAnswer: d**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b + 2. Suppose 0 = -b*h + 6 - 0. What is the tens digit of (-3)\/9 - (-55)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32744*u**6 - u**5 + 3*u**4 - 129950*u**2 wrt u.\nAnswer: 3929280*u**3 - 60*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 + 1486*v - 1486*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/56 and 97\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 63 = 72, -5*f + 6137 = -4*u. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y**2 + 16*y - 41. Is x(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 676 + -670. Is 14\/3 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**3\/6 - y**2\/2 + y. Let a(x) = -3 + 2*x + 5 - 5. Let v(b) = a(b) - 4*l(b). Differentiate v(u) with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 11*m + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807*s - 806*s = 10. Let f = -4 + 13. What is the least common multiple of s and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (4 - 28 - -79).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 1 = f, f + 6*j = 5*j - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*x + 77*x - 209 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215655, -431312, -646969?\nAnswer: -862626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-506)\/8 - 6\/8. Let u be (-10)\/(-45) - g\/36. Suppose 4*r + 4199992 = 3*z + u*z, 4*r = 8. Round z to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*r**4 + 5*r**2 + 100*r wrt r?\nAnswer: -228*r**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*n - 2*m, 2*m - 37 = -2*n + 5. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/5 + 765334*z = 0.\nAnswer: 0, 1913335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/5 and 19\/13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 101044840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28524770653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*i - 12, 156*i - 19 = 7*q + 154*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023 + 0*l - 331 - 346 - l - 333.\nAnswer: -l + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 - -200. Suppose 0 = i*p + 21 - 41. Solve -p*n + 31 = -5*u, n + u - 5 = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2565*26.\nAnswer: -66690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54208 and 1344.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14810869, 14810850, 14810805, 14810722, 14810589, 14810394, 14810125, 14809770?\nAnswer: 14809317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Suppose -9 = -b + 2*a, b + 17 = -b - 3*a. Does 9 divide b\/((x\/(-78))\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 77305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 232 - 298 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (1 - 1))*3. Suppose 3*l - r - a = 8, 2*r = l - 14. Solve -l*c + c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*i + i. Let w = 66 - 105. Let h = i - w. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-9559)\/(-948)))\/((-12)\/(-704)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3*s - 3\/2*s**2 + 1\/2*s**3 = 0. Calculate s.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -1 (c) 452 (d) -0.2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11818 (base 9) to base 15.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146127 is divided by 64.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60136 and 0.17?\nAnswer: 10223.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, -20, 0.3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 75.9. What is the nearest to n in -2, 5\/4, -4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4 + 2870*p - 10*p**2 - 2888*p + 11*p**2. What is z(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 - n - 1. Let t be q(-1). Sort 2, t, 3\/4 in decreasing order.\nAnswer: 2, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*m**5 - 113833*m**4 - 46305525*m**2.\nAnswer: -1260*m**2 - 2731992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836094\/68 - (-9)\/(-6)?\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 279 = -0*t + 4*t, -2*f - 66 = -t. Calculate the greatest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -297*s + 1818. Give c(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83732, -83705, -83660, -83597, -83516?\n\"Answer: 9*n**2 - 83741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - ((sqrt(128) - sqrt(128)*3) + 2)) + sqrt(128) - (4 + sqrt(128))**2*4)*-6.\nAnswer: 1344*sqrt(2) + 3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207129689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:21 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 28*q + 8. Let x be 3 + (2 - 2\/(-1)). Let b be i(x). Suppose -4*y + 304 + b = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Let u(a) = 2*a**2 + 20*a. Let m(x) = -20*s(x) - 2*u(x). Let t(y) = -77*y**2. Give m(t(z)).\nAnswer: -23716*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in -1\/8, 3\/4, -5, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 + 0.15.\nAnswer: -53.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 - 3*u**4 - u**4 + (-29 - 56 + 24)*(-2 + 6 - 2)*(32*u**4 + 57*u**4 + 39*u**4) to q*u**3 + o*u**4 + w + l*u + n*u**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12910 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29175011 is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 + 3*z**2 + 6*z**3 - 19*z**3 + 6*z**3 + 17*z in the form g*z**2 + s*z**3 + f*z + v and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = i + 4*g, -21*i + 80 = -19*i - 6*i + 4*g for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 52854 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 446679*q**2.\nAnswer: -3*q**2*(q - 148893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057913279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/35 (b) -4 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-5))\/3 - 1221\/(-165). Let t(r) = -174 - 3*r**2 + 117 - i*r + 4*r**2. Let m be t(13). Put m, 5, -5, 3 in descending order.\nAnswer: m, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = f + 3*f, 0 = 3*f + d - 1. Suppose -47 = -p + 2*u + 3*u, f = -3*p + u + 99. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 6*h - h - 4*h + 20*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640 + -2699 - (2 - 13)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d - 27 = 4*a, 2*d - 7 = -a. What is the smallest common multiple of 18 and 5\/((-45)\/a)*60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 425\/3 - 143. Suppose 28 = 5*z - 5*q - 2, 5*q + 20 = 0. Let i be (-25)\/(-8) + -1 - z. Sort i, 9, x.\nAnswer: x, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1059 - 1058.9. Which is the nearest to y? (a) -3\/5 (b) 6 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7*p = 3*p. Suppose 2*l - 2*r - 3591 = 1229, p = -4*r + 12. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9092*0.07.\nAnswer: 636.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.0762262 to two decimal places.\nAnswer: 247.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2045*z = 422*z + 3031*z + 400508 + 66822 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7 - 7*f + f**2 + 5 + 6 + 2*f. Let j be g(4). Solve -3*i + 2*i + 3 = j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + 0.74. Let v = w + -0.5. What is the second biggest value in 5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/7 + 460*v**4\/7 + 5106*v**3\/7 - 28008*v**2\/7 - 117720*v\/7 = 0 for v.\nAnswer: -218, -15, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2 + 0)*21. Let z be ((-344)\/(-6))\/((-7)\/w). Suppose -3*u = -7*u + z. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*m - 31524 + 5927 - 18691 = 0 for m.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2449*0.3\nAnswer: 0.07347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 5) to base 10\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 20. Let u be a(13). Suppose -w + 3*j - 1 = u, -2*j + 2 = 0. Let v(x) = x**2 + 5*x - 1. What is v(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12051*w + 529 - 239 - 288)*(-w + 0*w + 0*w) to p*w + j*w**2 + m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19003565 - 0.19. What is b rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**3 + 0*f**2 + 0 + 1\/12*f**4 - f. Let d(k) = 5*k**2. Calculate b(d(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 14*h + 11. Let k be z(13). Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550249648.\nAnswer: 2, 13, 2645431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*g**3 + 6524*g - 6524*g + (g**2 - g**2 - g**3)*(5 + 0 - 3))*((g - g - 2*g)*(0 - 2 + 1) + 0*g - 4*g + 3*g + 0*g + 4*g - 7*g).\nAnswer: 320*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 156650.4 months?\nAnswer: 130.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**5\/3 + 680*h**4\/3 - 31255*h**3\/3 + 104690*h**2 = 0?\nAnswer: -174, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 937700 and 8.\nAnswer: 1875400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 210307, 420633, 630955, 841273, 1051587, 1261897?\n\"Answer: -2*z**2 + 210332*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndvnnvddbbyvnkbnvnvd. Give prob of picking 3 v.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8577 divided by -1?\nAnswer: -8577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29985 and 7298349?\nAnswer: 5997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 57*d**2 + d - 4. Let x be t(-3). Calculate the highest common factor of x and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**4\/2 - 7*s**3\/6 + s**2. Suppose -4*x = 2*k - 42, 5*x - 13 = 3*k + 12. Is u(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + c5?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 837708713 to the power of 1\/3, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0063 - -0.0063. Let x = 2 - -9. Let b = x + -4. What is the smallest value in b, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43578.838 minus 3.05945?\nAnswer: -43581.89745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a**3 + 5*a**2 - 97*a - 209. Let l(x) = 14*x**3 + 3*x**2 - 65*x - 139. Let r(p) = -7*l(p) + 5*w(p). Solve r(h) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.994398l in millilitres?\nAnswer: 994.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7860, -15770, -23686, -31608?\n\"Answer: -3*v**2 - 7901*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566463 < 3566465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9100 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -0.6, -11, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/11 (c) 12 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 37 = 5*j, -3*j = 4*p - 148. Let i = -37 + p. Suppose c - 4 - 2 = i. Let v(o) = o - 7. Determine v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-6))\/(-1))\/(-1*39\/91)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 13, p: 1, b: 3}. What is prob of picking 2 y?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 - 6*g + 15. Let o(d) = -5*d**2 + 6*d - 14. Let s(n) = -5*o(n) - 4*z(n). Let f be s(8). Determine m, given that -m**4 - 26*m + m**2 + f*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7209 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88) - (sqrt(88) + sqrt(88)*-1 + sqrt(88)) - sqrt(88)))\/sqrt(8).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = 6. Suppose f*j + 0*j - 18 = 0. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 2*r - 3*r)*(-4*r**3 - r**3 + 4*r**3) + 2*r**4 + r**4 - 4*r**4 + (2*r**3 - 4*r**3 + 3*r**3)*(-4*r + 0*r + 0*r).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2362 + 4*b - 2362.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3639*g**3*l**2*z**2 + 16004*g**3*l + 14*g**2*l**2*z**2 - g**2*l*z + 161*g*l*z**2 - 118*g*z**2 - 5*l*z**2 wrt g.\nAnswer: 21834*l**2*z**2 + 96024*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 20 - 14)*(-3*b + 4*b + b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4284869.\nAnswer: 41, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 43*j**2 - 88*j - 54. Calculate the remainder when k(-41) is divided by 57.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8359397 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18360, 18957, 19954, 21357, 23172?\nAnswer: 25405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2074*b**2 + 7877*b**2 + 4693*b**2.\nAnswer: 10496*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:20 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/3 - 4066*c. Let b(z) = -623*z**2. Determine b(k(p)).\nAnswer: -9968*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 7*y + 20. Solve -y*q + 15 = -1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/(t\/(t*t*t\/(t*t**3)))))*t*t*t*t**(-2)\/t)\/(t*t\/(t**2\/t))**(-18))**41)**(8\/11) assuming t is positive.\nAnswer: t**(5576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let c(w) = 1 + 7*w**2 + 0 + 2*w - z*w. List the prime factors of c(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675405767 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4 + 7224*l**3 + 4029588*l**2 + 718434992*l + 1420809360 = 0?\nAnswer: -930, -437, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - h**3 + 3*h**3)*(-2*h**2 + 3*h**2 - 3*h**2) + h**2 + 1 + 1 + h**5 + h**5.\nAnswer: -2*h**5 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 - 2) - (15 + -1 - 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 32*t - 84. Let v be z(10). Calculate the greatest common divisor of v and 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i - 202 = -4*w, 0 = 4*w. Let a = i + -705\/7. Which is smaller: a or -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14834702?\nAnswer: 2, 41, 131, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dapcdtacaaucdddd. What is prob of picking 2 d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7240 is divided by 1220.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4 + 14298*l**3 + 142848*l**2 - 457600*l - 5486592 = 0.\nAnswer: -14288, -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + d - 4. Let z be c(-5). Let w = z + -117. Suppose 0 = 2*y - 10*y + w. Solve 2*h + y = 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 13404*s**3 + 26772*s**2 - 107184*s.\nAnswer: 3*s*(s - 2)*(s + 4)*(s + 4466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41616 is divided by 473.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-222)\/(-9) - 5)\/(2\/(-6)). Let c = k - -82. Calculate the greatest common factor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/7 - 615*a**3\/7 - 5751*a**2 - 710781*a\/7 + 8589864\/7.\nAnswer: -3*(a - 8)*(a + 71)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.45 (c) -2.1 (d) -2.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllvvlllvllvvvllllv?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-486)\/324*276\/(-18)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4782\/2 + (15 - 12). Suppose -4*l = 7*m - 10*m + g, -m = 5*l - 798. What are the prime factors of m?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-476 + 476 - 2*h)*(-17 + 2 - 12)*(-4 + 5 + 4).\nAnswer: 270*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 9*v - 4. Let f(y) = y**2 + 6*y + 1. Let o be f(-6). Let m be (-4)\/(-3)*6 - o. What is the tens digit of d(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(-2)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (2 + -3)\/(-1) + -3 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-84 - 2 + 40)*(7*j**4 + 0*j**3 - 2*j**4 - 2*j**3) to the form w*j**4 + t*j**3 + s + m*j**2 + u*j and give w.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 87*l - 6. List the prime factors of k(-38).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + 0*a)*(-4808*a + 4808*a + 69*a**2)*(7 + 4 - 1).\nAnswer: 690*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/17)*a*a*(a**2\/a*a)\/a)**42\/(a**(-3)*a\/a**(-3\/4)*a**(-1)*a**3*a) assuming a is positive.\nAnswer: a**(8113\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27265.\nAnswer: 5, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 531, 0.3, 41\/8 in ascending order.\nAnswer: 0.3, 3, 41\/8, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 62 = i - t, -2*t - 132 = -2*i. Let v = -37 + i. Let r be 8*6\/120*(620 + 0). Calculate the greatest common factor of r and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-252 + 252)\/(2\/3 + (-28)\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29733 = -95*z - 64*z. Solve -193*s - 24 = -z*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667568 is divided by 32138?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203530 (base 6) to base 11.\nAnswer: 11358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by -691971.\nAnswer: -184\/691971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-146467)\/(-2949) + (-51 - 0)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 563508 + -112951. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (287 - (-2)\/2)*6\/12. Suppose 3*o - 7*o = -k. Suppose -o = -6*m - 0. Solve m*f = -q + 4*f + 12, 2 = -4*q + 2*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.38 and -30612?\nAnswer: 30612.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7684632651 to the nearest integer?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -49. Let z = 56 + -16. What are the prime factors of 170\/y*z\/50?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 3, -103 in decreasing order.\nAnswer: 3, 1, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:56 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 302, 495, 688, 881, 1074, 1267?\n\"Answer: 193*s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.127 + 3.953. Let q = 0.08 - m. Which is the smallest value? (a) -1 (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 5)*(2*x - 7 + 7)*(-4*x**3 + x**3 + x**3) to the form i*x + h + a*x**3 + p*x**2 + v*x**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:50 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 20, 79, 168, 287, 436, 615?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 57203589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*m - 269 = 0, -4*d + m = 2*m - 344. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = -71. Let p(l) = -l - 9. Let d be p(m). Solve -d*g - 3 = -3*c - 0, -5*c - 4*g = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b**4\/3 + 14*b**3\/3 + 14*b**2 - 12*b = 0.\nAnswer: -2, 0, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 3*h**2 - 6*h. Let c be n(5). Suppose -c = -6*j + j. Let l be -3*j\/3*-4. Solve 0 = -3*t - q + 11, 3*q = l - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 1:51 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.454 months to centuries.\nAnswer: 0.057045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d. Suppose 0*o + o = d. Suppose -5*a - 13 = -3*l, o = 2*l - 5*a - 1 - 1. Calculate the remainder when 31 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17629.9 to the nearest 100.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 4*c)*((-2*c**3 + 5*c**3 - 2*c**3)*(0 + 0 + 2*c) + 27638*c**4 - 2 - 27675*c**4 + 5).\nAnswer: 105*c**5 - 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyrryyy. Give prob of sequence ryyr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1061, -1057, -1051, -1043, -1033?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1296826, -1296783, -1296728, -1296655, -1296558, -1296431?\nAnswer: -1296268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31222\/3, -0.5, 2\/313 in ascending order.\nAnswer: -31222\/3, -0.5, 2\/313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 9861*c + 885465.\nAnswer: (c + 90)*(c + 39354)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3.8181774\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-4)*u))**6*(u*(u**(14\/11)\/u*u)\/u)\/(u*u**(-11)) assuming u is positive.\nAnswer: u**(322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r**2 + 11*r. Let z(j) = -16*j**2 + 11*j. Let u be 3*(-6)\/9 - 0. Let g(n) = u*k(n) + 3*z(n). What is the second derivative of g(m) wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 5697\/80164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8a312 (base 14) to base 8\nAnswer: -1217014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 60 = -5*a, 3*a + 48 = -a + 5*i. Which is bigger: a or -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*-1*(-2 + 52 + 3). Let q = -71 + c. Let p be q\/(-3)*(-3)\/(-9). Put 0, -1, p in increasing order.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 3360*a**4 - 1605*a**3 + 346234*a**2 - 8*a + 2 wrt a?\nAnswer: 120*a**2 + 80640*a - 9630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 2*o = 16*d + 40, 5*o = 5*d + 4*o - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, n: 1, h: 14}. What is prob of picking 4 h?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*u**2 + 466661*u**3 - 46*u**2 + 1913*u**4 + 22*u - 466661*u**3 wrt u?\nAnswer: 45912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299976 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 9}. What is prob of picking 1 i and 3 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 30*y - 10*y - 80. Let p(i) = 9*i**2 + 4*i - 7. What is the smallest common multiple of p(-5) and y?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-6) + 4\/(-12) + 3. Let l(k) = 2089*k + 10. Let a be l(d). Round a to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 287731457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 103 + 327*y**2 - 112 - 105*y**2 in the form o*y + q*y**2 + a and give q.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154407 + 129238585\/837. What is the common denominator of 131\/558 and i?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 929*k - 9*k - 920*k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2)\/(2 + -4). Let v be -3 + 3 + -3*z. Is 11 a factor of (3*-2 - v) + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 159045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.848097 decades in millennia?\nAnswer: 0.00848097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761505 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224032 is divided by 10172.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*sqrt(17) + 2.\nAnswer: -12*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 15544?\nAnswer: 1\/15544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f**2. Let s(h) = -2*h**2 + 65167. Calculate s(i(b)).\nAnswer: -392*b**4 + 65167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2992)\/102)\/(-11)*42\/(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 7*d + 6755, -4*a - 2*d - 907 + 7637 = 0. Is 42 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206907 is divided by 1864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/((j\/(j*j**6\/j))\/j*j*j)*j)\/j)\/j**(-23))\/(j**21\/(j**24\/j)))**(18\/13) assuming j is positive.\nAnswer: j**(540\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + 16 + -12 + (-3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*o - 56*o + 64*o - 145*o.\nAnswer: -204*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03036 + 0.26964. Is 185 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577 divided by 1\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) + (-558)\/(-42). Suppose -3*y = p - 34. What is the remainder when 22 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from xxijtixikcxicxi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 16, 37, 68, 109?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39673778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 24 - 6 + 3 - 34 + 2*z.\nAnswer: 2*z - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 4*a**2 - 2*a - 4. Let v be (-18)\/(-4)*44\/99. Let i(w) = w**v - 4 - 2*w**2 - w**3 - 2*w**2 - 6*w**2. Let h be i(-9). What is p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 32 = 23*t + 2*i, -t + 28 = 5*i. Suppose -12*w - 2 = -t*w + r, -4*r - 8 = -2*w. Solve -3*p - p + 16 = w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqtqtttqtqnnqqiqiq. What is prob of sequence nttq?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 10*o - 14. Let w be c(-12). Let x(u) = 3*u - 22. Let m be x(w). What are the prime factors of m - (12\/4 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 2 (c) -33 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:20 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y*y*y**11*y)\/(y**(-3\/8)\/y**(2\/45)) assuming y is positive.\nAnswer: y**(4831\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 3*q**3 + 2*q**3 - 3*q**2 - 2 + 3*q - 4*q**3. Is 4 a factor of c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -18*s - 10. What are the prime factors of j(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/21 - 2\/7. Let r = 474 + -491. What is the nearest to j in -0.4, r, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}